diff --git "a/data/dm_maths/full_data_1/1983_11255.jsonl" "b/data/dm_maths/full_data_1/1983_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1983_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y be (-6)\/66 - 34*(-1)\/11. Put 19\/7, 1\/4, 5, y in descending order.\nAnswer: 5, y, 19\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**3 + 2*r**2 + r + 3. Let t be (6\/(-4))\/(1\/2). Let o be z(t). What are the prime factors of (-6)\/9*o + 2?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkuunknzkkrnk. Give prob of sequence nuzn.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 5395*f - 5400.\nAnswer: 5*(f - 1080)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - s**2 - 23 + 268*s**2 + 57.\nAnswer: 267*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 13*v - 35*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 573*t. Let b(i) be the third derivative of i**4\/8 + 1639*i**2. Calculate u(b(f)).\nAnswer: 1719*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*m**6 - m**4 - 4*m**2 - 7*m wrt m.\nAnswer: -4680*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1020)\/(-10)*8\/(-312)*-13?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 9*b - 2. Let q be m(5). Calculate the greatest common divisor of q and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20ea0 (base 15) in base 6?\nAnswer: -2124010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 4778800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*y)*((0 + 2 + 0)*(-11 + 11 + 7) - 3 - 2 + 3)*(4 - 6*y - 4).\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 19618 and 19618 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - 104. Let c be w\/5 + (5 - (-121)\/(-5)). Put c, 5, -3 in increasing order.\nAnswer: c, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 290240 and 640.\nAnswer: 580480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14101 is divided by 48.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 6:13 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -56, -1, 4, 0 in decreasing order.\nAnswer: 4, 0, -1, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b**2 - 12*b**2 - 27 - 3*b**4 + 6 + 3*b**4 + 2*b**4 - b + b**3 in the form s*b + y*b**3 + c*b**2 + f + u*b**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082 (base 9) in base 8?\nAnswer: -1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/97273 and -81\/17686.\nAnswer: 194546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + u - 1. Let v = 2 - 2. Suppose n + v*n = 6. Let a(o) = 5*o**2 - 6*o + 6. Let b(x) = -x**2 + 4*x + 6. Let g be b(5). Give g*a(h) + n*c(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 - 4*o + 5. Let a = 4 - 0. Let u(p) = -15 + 7*p + 5 + 6*p**2 + 2*p. Let v(m) = a*u(m) + 9*l(m). Find the first derivative of v(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k - 40. What is b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-140))\/(20\/(-240))\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8978, -17957, -26938, -35921, -44906, -53893?\n\"Answer: -y**2 - 8976*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 134*q**3\/3 - 15*q**2 - 2*q + 130. List the prime factors of t(3).\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -62, -143, -238, -347?\n\"Answer: -7*q**2 - 60*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13ababa + -9?\nAnswer: -13abac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 22. Let y = m + 9. Solve 0 = z - 0*z + y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 1\/5 (c) -793\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/4, -1, -4\/9, 1354\/55, -4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2580 and 228660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (43 + -37)*(-2)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -200, 4 in descending order.\nAnswer: 5, 4, 3, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6558598?\nAnswer: 2, 61, 53759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 + 0*u**5 + u**5 + (2 - 2 + u**2)*(-u**3 + 3*u - 3*u) - 2*u**3 + 28*u**5 + 3*u**4 - 2*u**5 - 9*u**5.\nAnswer: 14*u**5 + 3*u**4 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21677389?\nAnswer: 21677389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 984 + -984. Sort 48, c, 5.\nAnswer: c, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1766*z + 1720*z + 113 = 619 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -28*i + 13*i + x - 63, 3*x = -3*i + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -y + 12, -2*y + 33 = 3*v + 9. Let j = -7 + y. Suppose -31 = j*r - 96. What is the remainder when 50 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2096*c + 2096*c + 8*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18979754529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 20122?\nAnswer: 20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 22 = -4*r, g + r - 3 = -2. Suppose -17*n + 45 = -14*n. Does 39 divide (78\/n)\/(g\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -683, -2745, -6227, -11165, -17595, -25553?\nAnswer: -35075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b - 22. Suppose g - 16 = 4*j, -g + 3*j + 13 + 0 = 0. Suppose 0*c - 7 = -2*w + 5*c, g*w + 4*c = -56. What are the prime factors of n(w)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32\/5, 1.44, 21 in increasing order.\nAnswer: 1.44, 32\/5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 20. Suppose -h = 4*v - 5*v. Let a = 19 - v. Calculate the remainder when a is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 6:48 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*r + 87 - 87 to the form a + c*r and give c.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*u + 3 + 0 + 18*u - 35*u - 3*u**2 + 115*u to the form i*u + f*u**2 + w and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to 3905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3267) + sqrt(3267)*1)\/((sqrt(18)\/sqrt(2) + sqrt(9))*6).\nAnswer: 11*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10761, 21781, 32801, 43821, 54841?\n\"Answer: 11020*m - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50.91891 - 0.08109. Put -1, 0.1, r, 8 in descending order.\nAnswer: 8, 0.1, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122220201 - 2101?\nAnswer: -200000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9661777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0425 and 13.\nAnswer: 0.5525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 6*u - 16)*(-4 + 4 - 2*u**2 + (-2*u + 3*u + u)*(2*u - u - 2*u)).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*r + 2*l - 10, 5 = 5*r + 4*l. Suppose r*h = 11*h. Solve -k + 2 - 7 = h, z = -5*k - 28 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2951008973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 11. Let f = g + -4. Let b be 4\/(-44) + 1 - f. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**2 + z - 3. Let h be g(1). Suppose a = h*q, -3*a - 3*q = -34 + 10. What are the prime factors of 117 - (a + -8 + 4)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: c91 (base 16) to base 14\nAnswer: 125b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-299)\/78*2\/24*4.\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.63.\nAnswer: 3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(5\/3))\/l)**47\/(l*(l**1*l)\/l*l*l)**(1\/8) assuming l is positive.\nAnswer: l**(-191\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 13*l**7\/210 - l**4\/6 + 13*l**2. Find the second derivative of s(y) wrt y.\nAnswer: 156*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 2046?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7326414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/49 in 0.1, 4, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -12*q + 7*q. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 5*m + 6*m + (4 - 4 + 1)*(3 - 3 + m) - 2*m - 6*m + 5*m - 5*m - m + 4*m)*(0*m + 4*m - 3*m - 2*m - 3*m + 3*m + (0 + 1 + 0)*(0*m + 0*m - 2*m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 4 + 2*j - 4 - 32*j**2 + 0 to u*j**2 + c*j**3 + q*j + v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*o + 0*o - 9 = 0, -3*v = -2*o - 9. Let p(k) = k**2 - 4*k - 9. Let a be p(5). Sort -3, a, 2, v.\nAnswer: a, -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1068\/40*(-16)\/(-96) and 17\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-890)\/(-4)*6\/5. Let m = -122 + c. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s + 15*s + 11*s + 75 - 6*s. Let g(q) = -3*q - 19. Let i(a) = 9*g(a) + 2*o(a). Differentiate i(c) wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*336\/(-360)*3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.884*-0.012\nAnswer: -0.010608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -25*s**2 - 1055*s + 136. Determine l(-44).\nAnswer: -1844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.6276 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1648 and -56382.\nAnswer: 92917536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1872)\/(-272) - -10) + (-4)\/(-34). Solve 5*l = x*l - 48 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 844076357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.836562 grams?\nAnswer: 0.007836562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + -112. Is 3 a factor of (15\/(-27) - (-2)\/9)*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (11 + (-77 - -12 - 6))) + -2 + 9.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25806 divided by -23.\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = -5*v - 9*t, 1084261*t = -5*v + 1084265*t + 61 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**3 + 0*t + 0*t)*(297 + 92 - 13) to a*t**2 + c + x*t + r*t**3 and give r.\nAnswer: -1128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -12045 - 2979. Suppose g + 4*g - 12515 = -5*l, -2*l - 4*g = -t. Is (-4)\/(-14) - l\/(-63) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*j - 269*j - 13 + 137*j + 13.\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001137 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 + (-9)\/(-6). Let y = -41 + 41.1. Does h = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2021.1 + 2032. Let a = 125 - 116.1. Let s = p - a. Is -2 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 217*k + 404. Let z(c) = -223*c - 403. Let g(l) = 6*u(l) + 7*z(l). What is the first derivative of g(s) wrt s?\nAnswer: -259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 7*h**2 - 11*h + 5. Let r be m(5). Solve r = -0*a + 4*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34106339353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 366\/(-9)*(-6)\/4. Suppose 2 = -o, -i - 5*o + f = -o. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, e: 1, n: 4}. Give prob of picking 1 e and 2 n.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/5))**17)**(-30\/7)*(((y\/(y**(-1)*y)*y)\/y)**(-15))**(-1\/16) assuming y is positive.\nAnswer: y**(5001\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5954623 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7590*-4.\nAnswer: 30360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 115, 123, 131, 139?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*n - 1274*n**3 - n**4 + 2545*n**3 + 5 + 95*n - 198*n - 1268*n**3 to r + x*n**2 + q*n**3 + y*n + v*n**4 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2. Let q(l) = -41 - 18*l**2 + 30 + 12. Give q(o(y)).\nAnswer: -162*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 68. What is the lowest common multiple of (-3)\/(-6)*10\/5 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -6, -20, -0.03, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10833*p + 11347*p + 58350*p.\nAnswer: 80530*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*m**2)*(-4 + 6 - 3)*(1731 - 1731 + 127*m).\nAnswer: 254*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, s: 1, z: 1, g: 2, q: 4, k: 3}. Give prob of picking 1 q and 1 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 - 12*l**2 - 40*l**2 - 4 + 6*l**2 to t*l + h*l**2 + i and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1311 and 726113031?\nAnswer: 726113031.1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**3 - 1490196*q**2 + 2980380*q - 1490188 = 0.\nAnswer: 1, 372547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-300)*30\/5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/7))**30 assuming q is positive.\nAnswer: q**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 29 = -4*b, 9 = b - 18*d + 15*d. Calculate the remainder when 1558 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10 - 143\/(-22)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 2, 2\/15, -2, -4.63 in descending order.\nAnswer: 2, 2\/15, -2\/17, -2, -4.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*o - 2*r + 8, 3*r = 4*o + 12. Which is the second biggest value? (a) -5 (b) o (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48357 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 2:43 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5991, 23889, 53671, 95343, 148911, 214381, 291759, 381051?\n\"Answer: u**3 + 5936*u**2 + 83*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1700)*5 + sqrt(1700) + (2*sqrt(1700))**2*-5.\nAnswer: -34000 + 210*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 11*n - 872 + 25.\nAnswer: -3*n - 847","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18565, -37142, -55727, -74320, -92921, -111530, -130147?\nAnswer: -148772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven eighths of a week?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.90222 rounded to 1 dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2071*h**2 - 2*h + 5. List the prime factors of d(1).\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/16 + -1)*(93\/31 - 6\/5)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**4\/12 + 23*w**3\/2 + 67*w**2\/12 - 25*w - 56\/3 = 0. Calculate w.\nAnswer: -1, 8\/5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 756802 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d14 (base 14) to base 11.\nAnswer: 6062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 16) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 - 3*i + 7. Let j be (-4)\/(-18) - (-2711)\/(-9). Let m = j - -307. Let p(q) = -4*q**2 + 3*q**2 - 8 + 6*q**2 + 4*q. Give m*g(s) + 5*p(s).\nAnswer: s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 10*x**2 + 12*x - 8. Let t be u(8). Suppose d - 2*d - 3 = 0. Calculate the remainder when 15 is divided by t\/15*d*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -13*k - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 divided by 158751?\nAnswer: 1\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.179 - -39.\nAnswer: 39.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*m - 3*g, 0 = 3*m + 3*g - 34 + 40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30064820 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84295347.\nAnswer: 3, 661, 42509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 67 = 94 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 - y + y - 2 + 2 + y**4 + (5*y - 5*y + y)*(y**3 + 2*y**2 - 2*y**2) + 2*y**4 - 5*y**4 + y**4 + 3*y**4 - 3*y**4 + 2*y**4.\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21551 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 288, 301, 318, 339, 364?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (72 - 212) + 98 - (-26 + -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 334401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axxaxataaxxtataa. What is prob of picking 1 a, 1 x, and 1 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + n**2 - 2*n + 3. Let r(c) = 55*c**3 + 3105*c**2 - 1070*c + 60. Let t(x) = 20*f(x) - r(x). Let t(o) = 0. What is o?\nAnswer: -206, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c - 3. Let i(f) = -5*f - 4. Suppose -18 = -78*k + 72*k. Determine k*i(p) - 4*s(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 9508026.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 1.75, 0.2, 2, 6, -1\/7 in increasing order.\nAnswer: -34, -1\/7, 0.2, 1.75, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -54151?\nAnswer: -54150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/20 + (-69118)\/630. Which is smaller: -108 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.41 + 3.6. Let q = u - -6.8. Suppose 0 = -y + 2 + 1. Which is the nearest to y? (a) -0.4 (b) q (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -638, -2534, -5700, -10136, -15842, -22818, -31064?\nAnswer: -40580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 321776 + -321823.39955. Let f = t - -47.4. Round f to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 380466 and 322.\nAnswer: 2663262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.087757 to one dp.\nAnswer: 60.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*v = -102*v + 31568. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5 + x - 12 + 6. Let h(b) = 10*b - 10. Let v(z) = 2*h(z) - 18*o(z). Suppose -3*m = 2*m - 20. What is v(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135938?\nAnswer: 2, 11, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 9:57 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j\/(j**(-5\/4)\/j))))**(-11\/2)\/(j**11*j\/j**(-7)) assuming j is positive.\nAnswer: j**(-251\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20685?\nAnswer: 3, 5, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16405 divided by -85\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/509622 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*10)\/4*4\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.28? (a) 5 (b) -2\/7 (c) -1\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.73239ml to litres.\nAnswer: 0.06173239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 10:32 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 38*a + 34*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5163190 to the nearest integer?\nAnswer: 2272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 174 - 180. Find the common denominator of (-198)\/135 + (h + 0)*1 and -7\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v + 254 = 1216. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = o + t, -2*o - 13*t - 32 = -17*t. Sort 4, -5, -108, o.\nAnswer: -108, o, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 95\/152*2\/10. Let a = -5.08689 + 0.08689. What is the nearest to 0 in 3, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166580, -333205, -499822, -666425, -833008, -999565, -1166090?\nAnswer: -1332577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-16)*6*-2. Calculate the greatest common factor of k and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -4 (c) -3.8 (d) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*p**4*y**3 - p**4*y - 2*p**2*y**3 - 18*p**2 + 5*p wrt p?\nAnswer: -768*p*y**3 - 24*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1478 - ((-6)\/2)\/(-3). Is -4*7\/56 - h\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/15)\/((-6)\/(-75)) - 3. Let w(k) = 4*k - 64. Let v be w(x). Let n = v + 0. What is the smallest common multiple of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*c + 6*c**3 - 14*c + (-2*c + 0*c + c)*(-c**2 + 0*c**2 + 0*c**2) + 14*c**2 - c**3 - 14*c**2 to i*c**3 + y*c**2 + u + d*c and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 434214 a multiple of 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(7\/((-7)\/2)). Suppose -k + 3 = -b*k. Solve u = k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/2 + (3 - 1). Suppose 0 = -o - 3*l + 13, y*l = l + 9. Calculate the smallest common multiple of o and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -3 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 23*a**2 - a + 4. Is q(25) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*k + 332*k - 144 = 166*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -724, -918, -1442, -2458, -4128?\nAnswer: -6614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24789850 divided by -12394925.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07973 in 1\/4, -0.122, -0.5, 22?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1678 + -5?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 7:35 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 4, -3\/8, -0.384?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/40*-5 + -4*2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 - 1. Let y = -4 - -2. Let g(s) = s**2 - s + 1. Let c(j) = 6*j**2 - j + 1. Let b(q) = -c(q) + g(q). Calculate y*b(v) - 3*r(v).\nAnswer: -2*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**2*p**4 + 32*c**2 + 298*c*p**6 + 6*c*p**2 wrt p.\nAnswer: 72*c**2*p + 35760*c*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 7 - 5 + 0*l + 4 - 2. What is p(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooouoooomooooo. Give prob of sequence oum.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 14348a73?\nAnswer: -14348a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q + 851 = 0. Let l = q + 1355. Suppose 0 = -5*y - 34 + l. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2772358401 and 0.14?\nAnswer: 2772358401.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 6:52 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2)\/x)\/x**(1\/8))\/(x**(-1\/4)*x*x*x*x\/(x\/x**(-3\/8)*x)*x*x))**(-2\/69) assuming x is positive.\nAnswer: x**(13\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62571548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8668)\/(-6501)*(-963)\/12?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 16. Let f be p(-16). Suppose 4*s + 5*k = -f*s - 17, 0 = -5*s + 4*k + 30. Put 0, 8, s in descending order.\nAnswer: 8, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1309*o**3 + 10 - 10.\nAnswer: -1309*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -13*w**3 + 2*w - 1. Give d(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112873 and 3608?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-7) - 41205\/(-469). What is the highest common divisor of 64 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*c + 154*c + 450*c + 423*c - 64*c.\nAnswer: 766*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + 0 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2994 - -3034. Solve -97*f + 107*f = h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -91, -204, -361?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3446 + 5427. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 29510 (b) -0.2 (c) -11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121101 (base 3) to base 13.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003235 to seven decimal places.\nAnswer: 0.0000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 4:47 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 x when four letters picked without replacement from mmmxmxnmmmmxmxnm?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 6. Let h be 15\/10 - 114\/(-4). Suppose -i = 4*i - h. Determine u(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4217138, 4217133, 4217128, 4217123?\nAnswer: 4217118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3065644816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7aaa68a + 5?\nAnswer: -7aaa685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -28*q**3 - 3*q**2 - 15*q. Let t(i) = i**3 - i**2 - i. Let w(m) = -p(m) + 3*t(m). Find the second derivative of w(r) wrt r.\nAnswer: 186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-1)\/sqrt(6) + -4 + 5 + ((sqrt(135)\/(sqrt(15)\/sqrt(3)) - sqrt(27))\/(sqrt(36)*-6))**2.\nAnswer: -4*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2215.4 - 3066. Let v = 851 + m. Which is bigger: v or 2\/383?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 - (-61 + -2) - (-1 - -17)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100001000011110 - -1000?\nAnswer: -111100001000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 45933.59 millimeters?\nAnswer: 4593.359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -833 divided by -119.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from wrvwarwwrrrwwrwgrorr.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -10696886?\nAnswer: -855750.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.02 (b) 0.3 (c) -4\/7 (d) 926 (e) -4 (f) 19 (g) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67547 and 242?\nAnswer: -16346374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16038939 is divided by 185.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4531 + 2448. Let g = -2214.7 - v. Round g to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 257888, 1031494, 2320838, 4125920?\n\"Answer: 257869*j**2 - j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxv when three letters picked without replacement from {v: 4, p: 5, x: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(17) + ((-2 + sqrt(17))**2 - sqrt(17)))*3 - sqrt(2448)*2.\nAnswer: -63 - 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f = 16, 36 = -4*s + 4*f. Let x(d) = 5 - 8 - 5*d - 2 + d. Is x(s) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 21.09. Let v = j - -0.07. Let a = 56 - 54. Is a greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50411.7 rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1113 and 55482?\nAnswer: 2940546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 99 = -8*h + 105, -3*f + 11*f = 6*f + 33*h - 932 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603566980 rounded to the nearest 1000000?\nAnswer: 1604000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 25 = 0, -y - 77 = -t - 80. Put y, -10, 2, -1 in decreasing order.\nAnswer: 2, -1, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12416 + -12415.88839. Round k to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmgwg. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-85)\/25 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 2*t - 4. Let b be s(-2). Solve b*p + 4 = 3*z, -2*p + 5*z - 16 = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 27*c - 19*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 + 3*w**3 - 2*w**3 + (-1871 + 1871 + 131*w**3)*(3 - 2 + 0).\nAnswer: 133*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5112 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2250397000 to the nearest 1000000.\nAnswer: -2250000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4928)\/(-66))\/32*(-12)\/(-14805)*(-60)\/24.\nAnswer: -2\/423","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1677 - 34*a + a + 34*a + 3*a - 2*a.\nAnswer: 2*a - 1677","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2490 and 6660.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26758 - 26758 + 3997*y + (-2 + 3 + 0)*(-1 + 1 - y).\nAnswer: 3996*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, -2\/7, 5, -0.2, 7, 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1449?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57399986 to the nearest integer?\nAnswer: 7576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000046850406 rounded to six dps?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmt when three letters picked without replacement from {m: 5, t: 9}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 203560 to the nearest one thousand.\nAnswer: 204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294244 is divided by 407.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -22. What is the units digit of 22\/b*(-6)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11839351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrg. What is prob of sequence rg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/((j\/j**(-2))\/j*j))))\/(j\/(j**(-6)\/j))*j**(-3\/5)\/(j\/(j**(-29)\/j)) assuming j is positive.\nAnswer: j**(-208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5 = -0*v, 4*v - 23 = -3*g. Calculate the greatest common divisor of 603 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j = 0. Let m be -2*2*(-22)\/8. Let i = m + j. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**3*v*v*v**(1\/6))\/((v*v**(-5))\/(v\/(v**(-4\/5)\/v*v)))*((v*v**6*v)\/((v\/(v\/v**(-2\/5))*v*v)\/v))\/((v**(-9)\/v)\/(v\/v**(2\/13)*v)) assuming v is positive.\nAnswer: v**(9833\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 43 = 23. Suppose -3*l + 0*l = -r. What is the least common multiple of l and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 44*f - 42*f + 43, 20*h = -4*f + 184 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297818881 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhhuhquuuuqqqu. Give prob of sequence uu.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 6, f: 4, l: 1, d: 1}. What is prob of sequence lt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/15 - 24\/15. Let c be (-21)\/35 - ((-48)\/(-15))\/n. Solve -1 - c = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 3209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/7198 and -28\/11.\nAnswer: 79178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/(-4) - -1)*-4. Let s be ((-7980)\/72 - (-1)\/(-6)) + 4. Let o = s + 152. Solve -8*z + o = 5*j - 3*z, -g*z = 4*j - 31 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32206 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -73 in ascending order.\nAnswer: -73, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/113819 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2304145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -5. Let a be 2*o\/(3\/(-3)). List the prime factors of 0*(-1)\/a + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*o - 8. Let l(c) = c - 1. Let u(p) = 15*p - 3. Let i(j) = -9*l(j) + u(j). Let d(w) = -4*w - 4. What is o*i(q) + 8*d(q)?\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8689 - 4342 + 1411*j + 216*j - 4345 as q*j + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -44?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -130639310014?\nAnswer: -130639310019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101740721.\nAnswer: 41, 59, 137, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**9\/7560 - z**8\/1400 - z**7\/700 - z**6\/900 - 13*z**3\/3 + 17. Let y(x) be the third derivative of l(x). Factor y(q).\nAnswer: -2*q**2*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 28882?\nAnswer: 28882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-459)*-3)\/(2\/(2*-2)). Which is the third biggest value? (a) -13 (b) m (c) 6 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 44 = -2*y. What is the remainder when 33 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13001783 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 2*q + 168. Does 42 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69496596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210738829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 5, 14\/9, -2\/15, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 169036294 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**5\/20 + j**4\/12 + j**3\/6 - j**2\/2 - 2*j. Suppose v(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 4316460 = 15233540. What is n rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c**4 + 5988*c**3 + 386817*c**2 - 733962*c + 341136 = 0 for c.\nAnswer: -184, -103, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 6*w + 15 = 0, 5*w + 120 = -4*l + 140 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, t: 7}. Give prob of picking 1 l and 1 t.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 19. Let t be d(-8). Let k(m) be the first derivative of -4*m - t*m**3 + 4*m + 2*m**3 + 7. Let y(f) = 2*f**2. Determine k(y(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 6. Let i be -4 - (z - -3) - -19. Suppose -5*l = -4*q - 36, -2*l = 3*l + q - i. Solve -5*a - 2*k + 12 = 0, l*a - k = -6*k + 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 29. What is the tens digit of 89\/3 + 20\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 4 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 60*v**2 - 252*v - 196.\nAnswer: -4*(v + 1)*(v + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79332148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8957 is divided by 1110?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - r - 2*p - 35498, 4*r + 2*p = 28402. Round r to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6 = 1. Let g = i + -2. Let o = 12 + -13. Which is the nearest to o? (a) -1\/4 (b) -2\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94.0303 - -94.63. Let v = o - 0.6. Round v to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w - 9. Give m(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2*d**2 - d + d**2 - 9)*(-d**2 + d - d).\nAnswer: d**4 + d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*2*-5 - sqrt(15)\/(sqrt(9)\/sqrt(3)*-1))**2.\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 9*b**2 + 9*b - 6. Let w be q(-10). Suppose 15 = -w*p - 65. Let o = 44 + p. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 3*z**2. Let t be 18\/(-30) + 46\/10. Calculate the lowest common multiple of v(t) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21332 (base 6) to base 12.\nAnswer: -1848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 23 - 20 - -65) + (-11 - 0)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y - 4. Let g = 4137 + -4128. Let a(x) = 11*x - 9. Calculate g*f(n) - 4*a(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, l: 1, j: 2}. Give prob of picking 1 a and 1 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1094, 0.01, -1\/19?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308150 is divided by 906?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*d**4 + 42576*d**3 + 26613*d**2 - 21786*d - 5688 = 0 for d.\nAnswer: -1, -2\/9, 3\/5, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*sqrt(133)*-6)\/(sqrt(7) - 5*(sqrt(7) - -2*sqrt(7))).\nAnswer: -27*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40170 + 65136. What is the greatest common divisor of v and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 120.5?\nAnswer: -123.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2156, -4 in ascending order.\nAnswer: -2156, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1406 divided by -1237\nAnswer: -1406\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658 is divided by 825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 10*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*s**2 - 4 + (5 - 2 + 4)*(-3*s**2 - s**2 + 0*s**2).\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(((c*c**(-2\/19)*c)\/c)\/c))\/c*c*c**(-19))\/(c**1\/c*c)**(-26))**(-27) assuming c is positive.\nAnswer: c**(-4158\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = t + 9. What is the highest common divisor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 - i**2 + i + 1. Let v be q(-1). Suppose 1 - 3 = f - d, -10 = -3*f - 5*d. Suppose f = m + 1 + 1. Put m, v, -4 in ascending order.\nAnswer: -4, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2050 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -226347 + 226352. Let l = 3 - 1. Which is the nearest to -6? (a) -13 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*f + 5 = 0, 0*p + 5*p + f = -9. Let y(c) = -2*c**2 - 2*c + 2. Give y(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*q = 17, 2*z = 6*q - 3*q - 1. Suppose x + 55 = 6*x. Solve -x = y - z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*(117 - 5 - -5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + l = 20, -4*l = -3*l. Suppose 0 = -5*v - 0 - b. Which is smaller: v or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 1, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(175) + 0)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 9*o + 2. Let p be a(8). Let d(k) = -2*k**3 - 11*k**2 + 6*k + 1. Let x be d(p). Solve u = -4*s + 7, x = 7*u - 2*u + 3*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q**2 - 30*q + 2841. Let o(d) = 7*d**2 - 26*d + 2843. What is 6*g(j) - 7*o(j)?\nAnswer: -j**2 + 2*j - 2855","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/4 + 12749*v\/4 = 0.\nAnswer: -12749, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2b0b (base 15) to base 10\nAnswer: 9236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11017 + 22035\/2. What is the nearest to 4\/29 in 2, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12*-75)\/(-10).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*104\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 8*d**2 - 3*d + 5. Let f be k(-5). What is the highest common divisor of f and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279171212.\nAnswer: 2, 3, 11, 59, 164249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/570 and -25\/57.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkkkddkkdkkdkf. What is prob of picking 1 k and 1 f?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*i**4 + 2\/9*i**5 + 0 + 2\/9*i**2 + 0*i - 2\/9*i**3.\nAnswer: 2*i**2*(i - 1)**2*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (2 - 1)*1. Suppose -2*b - 3 + l = 0. Let k be 4*(21\/(-18) - b). Which is smaller: k or -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1928c (base 16) to base 5\nAnswer: -11244202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38760\/11 + -3526. Which is greater: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2. Let n be (-1)\/((0 - i)\/(-1)). Put 0.3, -5, n in ascending order.\nAnswer: -5, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1 + 5) + (-112)\/64.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15707 (base 9) to base 2\nAnswer: -10101000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8188 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 3. Let h(z) = -9. Let u(j) = j - 46. Let s(n) = 11*h(n) - 2*u(n). Let c be 1\/(-2 + 5\/2). Let i = c - -5. Determine i*w(f) - 3*s(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 1. Let l(c) = 4*c + 6. Suppose 0 = -2*o - 0*o. Let h = o - -5. Let x(r) = h*y(r) + l(r). Determine x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3.1 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 10972 - 10963 = -3*r, 9 = -2*r - 3*a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (92 + 24*l - 92)*(388 + 503 - 3*l - 683) as v*l**2 + s*l + p and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -17*u**2 + 3. Let n(b) be the third derivative of -b**7\/2520 + 61*b**4\/12 + 72*b**2. Let t(d) be the second derivative of n(d). Calculate t(s(h)).\nAnswer: -289*h**4 + 102*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2131*c + 140606 = 166*c - 56*c + 3178 for c.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**4\/2 + 2*c**3 + c**2 - 9*c - 40. What is the second derivative of h(z) wrt z?\nAnswer: 12*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*t + 57*t - 20. Suppose -4*p = -1 - 3. Which is the smallest value? (a) 2\/31 (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41895008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12802, 25627, 38440, 51235, 64006, 76747?\n\"Answer: -b**3 + 12832*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**3 + 36*h**2 + 10*h + 23. Is n(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h - 8*h + 0*h. Let a(n) = -3*n**2 - 8*n - 8. Let q(p) = -2*p**2 - 5*p - 5. Let o(w) = 5*a(w) - 8*q(w). Give o(f(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.4 - 17. Let a = -6.1 + k. Let n = a - -5. Round n to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -18*l + 3. Let f(b) be the first derivative of -b**3\/3 + 29. Calculate f(a(r)).\nAnswer: -324*r**2 + 108*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 166 = -523. Suppose -m*i = -56*i + 21955. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.0295\nAnswer: -0.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/2485 + 39754\/7455. Solve -56\/3*j - 44\/3*j**3 - 1\/2*j**5 - 24*j**2 - 13\/3*j**4 - b = 0 for j.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139 - -140. Find u such that -4*u - 4*u**3 - u - 3*u + 13*u**5 + w + 18*u**2 - 19*u**4 - u**5 = 0.\nAnswer: -1, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 629 and 8111917.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5413 or 5386?\nAnswer: 5386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -644*l**5 + 335*l?\nAnswer: -12880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.52 + 9.52. Sort o, -31\/5, 2\/9.\nAnswer: -31\/5, o, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -466 - 2*r**2 - 3*r**2 - 3*r**2 - 14*r**2 + 467*r + 21*r**2.\nAnswer: -(r - 466)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n + 217 - 120 - 229*n - 122. What is the units digit of q(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34183 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k - 4 - k**3 + 10*k - 6*k**2 - 9*k. Let f be i(-5). Let g(w) = w**2 + 5*w + 4. Give g(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*u, -3*l + 66 = 4*u - 115. Let y be (-48885)\/l - 4\/22. Let k = -472 - y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 3, -24, -71, -144, -249, -392, -579?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.7, -0.4, 0, -0.57?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + n = 0, 12*n - 21 = 5*y - 5*n - 8*n + 23*n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 10*r**2 - r + 15. What are the prime factors of i(9)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c - 1. Let g be a(1). Suppose 2 + 1 = -g*s. What is the closest to -2 in s, 0.4, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 9990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m + 1. Let u(q) = -q. Give i(n) + 6*u(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:29 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7 and 9441615.197?\nAnswer: 9441615.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*2*(sqrt(171) + -2))**2.\nAnswer: -1200*sqrt(19) + 17500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51236269 a multiple of 2196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9805889?\nAnswer: 17, 23, 31, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3934364 to three dps.\nAnswer: -4.393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 + 770\/33. Let f be x\/14 + 6\/(-4). Sort -0.5, f, -5 in ascending order.\nAnswer: -5, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667871031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Suppose -4 = -2*s - k. What is the derivative of 0*z + 0*z - 2 - s*z wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*v + 3*v + 2*v)*(5 - 5 + 2) + 2*v - 2 + 2)*(v**2 + 5*v**2 - 4*v**2) as h + k*v**2 + g*v + s*v**3 and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.08, 0.6, 0.3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - w - 15 = 0, f + w + 21 = 6*w. Is ((-18)\/f + 5)\/(5\/60330) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 4*p)*(-1482 - 35*p + 1482).\nAnswer: -70*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3554*m + 106600. Give p(-30).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 8:31 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 1:02 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x. Let n be s(3). Suppose -n*p = 3*y, p + 3*y = -0*y. Let u be 5 - (-4)\/(-4 - -2). What is the third smallest value in u, p, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4682*u - 1048873. Determine g(-224).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(12)\/(sqrt(6) - sqrt(18)\/sqrt(3) - sqrt(6)).\nAnswer: -sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 7*o**2 + 8*o - 3. Let z be (-2 - -8) + 0\/8. Let f be c(z). What is the third smallest value in 3, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 147*m + 5*m**3 - 4 - 154*m - 5*m**2 - 6*m**3. Determine i(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*l + 21 = -1, 12 = r - 4*l. Suppose -r*g = -7*g + 6. Find the third derivative of -g*u**6 + 2 - 2 - 8*u**2 - 5*u**6 wrt u.\nAnswer: -840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4010362.57 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13606 - 13643.764. What is f rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 77469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8802745 and 7525.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 609002901*j**3 - 506*j**2 - 7091*j - 6 wrt j?\nAnswer: 3654017406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w*w**(2\/3)))*w*w)**(-5\/2)\/(w*w*w*w**3\/w*w**(-4\/7)))\/((w*w**(-2\/7))**(-3\/8)\/(w**(3\/7)\/w*w**(-1\/2))) assuming w is positive.\nAnswer: w**(-2839\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 8:04 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -746738 + 146354724\nAnswer: 145607986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116492 is divided by 6848?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 1. Let i(q) = 5*q**2 + 3*q - 5. Let d(u) = 2*i(u) - 10*j(u). What is the second derivative of d(l) wrt l?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -387.232 and 3.\nAnswer: -384.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25606, 25974, 26588, 27448, 28554, 29906, 31504?\nAnswer: 33348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 199512*h + 199512*h - 31*h**2.\nAnswer: -2*h**3 - 31*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -114, -124, -134?\n\"Answer: -10*x - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2845708 to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.71355 rounded to two decimal places?\nAnswer: 1.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.454 and 102186765154.\nAnswer: 102186765154.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -181.85 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 l when four letters picked without replacement from lmamm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/37)*m)\/m*m*m)\/(m\/(m*m**(4\/7))*m))**(-2\/3) assuming m is positive.\nAnswer: m**(-262\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -17*v + 12*v + 10, 0 = -4*v - 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573512.5 millennia in months?\nAnswer: 6882150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*o - 59*o - 60*o + (-4 + 0 + 2)*(2*o + 3 - 3))*(5*o**3 + 2*o**3 - 3*o**3).\nAnswer: -288*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -23*x + 17*x + 7*x + 29. Let l be c(9). Calculate the highest common factor of l and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.6. Let p = 266 + -239.8. Let o = p + -26. What is the second smallest value in o, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 4, a: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -32943.9.\nAnswer: 32956.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -401 + 5*v + 3*v + 386. Calculate the remainder when b(6) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 491*j - 491*j - j**2. Let w(g) = 15*g**2. Give w(k(l)).\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -781729, -781731, -781733, -781735, -781737, -781739?\n\"Answer: -2*s - 781727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9360 - -9367. Let q be (-8)\/16 - (-2)\/4. Solve q = -5*t + l*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (230 - 427 + 220)*(6 - 1 - 3)*(-4*t + t + 2*t).\nAnswer: -46*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 182050*b**2 + 728265*b + 546210.\nAnswer: -5*(b - 36414)*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 9 = -3*l, -3*d = -5*l - d - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 - 2*r**4 + 4*r**4 + (-1 - 2*r + 1)*(4*r**3 + r**3 - 3*r**3) + 2*r**4 - 2*r**4 + r**4 + r**3 - r**3 - r**4 + 7169*r**2 + 150*r**4 - 7169*r**2.\nAnswer: 147*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 177380207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z. Let l(a) = 15*a. Let j(p) = -l(p) - 6*n(p). Let v(w) = w**2 - 3. Calculate v(j(c)).\nAnswer: 9*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 3.\nAnswer: -3*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*p + 2*p**4 + 2*p**2 + 14*p - 2*p**3 + 2 + 0*p**4 to t*p + w + i*p**4 + s*p**2 + k*p**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(11) - sqrt(11)*-3) + -3)**2.\nAnswer: -925 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4635 - 4641. Which is the biggest value? (a) -2 (b) h (c) -3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 - -19217.\nAnswer: 19340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 46*t - 3. Let c(j) = -j**3 - 7*j**2 - 5*j + 6. Let p be c(-6). Suppose 5*o + 3*s - 10 = 0, 0 = -p*o + 4*o + s - 8. Is m(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 230068507\nAnswer: -3\/230068507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.251 + 0.451. Put o, 0.04, -2, -0.4 in increasing order.\nAnswer: -2, -0.4, 0.04, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 23 + 26, p + 3*o = -12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 + -33203?\nAnswer: -33312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 7:02 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1298 - 1298 - 117*w)*(0*w**2 - 7*w**2 + 3*w**2) + (w + w + 0*w)*(3 - 3 - w**2).\nAnswer: 466*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-149*t + 58*t - 51*t).\nAnswer: 142*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*b**3*s**2 - 10*b**3*s - 2*b*p**2*s**2 - 2*b*s - 46*p**2 + 10*p*s**3 wrt s.\nAnswer: 22*b**3 - 4*b*p**2 + 60*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 51, 97, 157, 231, 319?\n\"Answer: 7*z**2 + 11*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 780212128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4023)\/(-3129) - (10\/8 + (-3)\/(-12)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/136 at least 4808\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 18. Let d = s - 11. Put -3, 5, d in increasing order.\nAnswer: d, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81855 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*o = 2*d + 16, -4 = d - 2*o. Let p be d\/(-7)*(-28)\/(-4). Suppose -5*w + p*w - 160 = 0. Calculate the greatest common factor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172555680 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58212162 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101101111101 (base 2) in base 9?\nAnswer: 41664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -53.999918. What is w rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46.5 or -2\/11?\nAnswer: -46.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-42) + 22\/(-77))\/(3\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:32 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.2, 1, 3, -0.3.\nAnswer: -0.3, 1, 3, 10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22\/5 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131 and 160344.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 172794.\nAnswer: -5\/172794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + h**2 + h + 1. Let v(f) = f**2 + f + 1. Suppose 0 = -4*j + j + 3. Give j*l(b) - v(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 116360*q - 31241*q.\nAnswer: -147601*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -274 - -269. Sort 3, -16, r, 0.2 in ascending order.\nAnswer: -16, r, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 4, 8, -3.1 in descending order.\nAnswer: 8, 4, 2\/5, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*q**2 - 6*q - 41*q**2 + 13*q**3 - 1 + 7*q in the form z*q + n + x*q**2 + t*q**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -430, -870, -1310?\nAnswer: -1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79120713?\nAnswer: 3, 7, 23, 163811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from gicicigii.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22484, 21669, 20302, 18377, 15888, 12829, 9194, 4977?\n\"Answer: -n**3 - 270*n**2 + 2*n + 22753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51022*p*u**2 - 77*p - u + 16 wrt u.\nAnswer: 102044*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2109 * -0.04.\nAnswer: 0.128436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 + -545639403.099.\nAnswer: -545639509.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-8))\/v**3*(v\/(v*v*v*v*v**(-3\/8)*v)*v)\/v**(-1\/2)*((v\/(v\/((v\/(v**(3\/5)*v))\/v))*v*v)\/(v**9*v*v*v))\/(v\/v**4*v**(1\/3)) assuming v is positive.\nAnswer: v**(-2527\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 330\/286 - 4\/26. Which is the closest to -2\/9? (a) s (b) -3\/4 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9a1 + -171?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1.74 (b) 5\/14 (c) 0 (d) -1 (e) -6 (f) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 6 + (33 - 13 - 8) + -46.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 228368711 rounded to the nearest 100000?\nAnswer: 228400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 1. Let n be g(-3). Let l be 1 - 3 - n - -3. Suppose i = l*z + 45, 0 = 3*i - 3*z - 239 + 44. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(80)*-2)**2 - sqrt(80)) + (-2*sqrt(80))**2*-5.\nAnswer: -1278 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 67*u + 63*u = -19, 5*x + 11 = -4*u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 792 + -6313\/8. Find the common denominator of z and -1\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28154342761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11752112 is divided by 163?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**(-3\/4)*q**(1\/2)\/q*q**(4\/3)*q**12 assuming q is positive.\nAnswer: q**(187\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 39*p**2 - 726*p - 5. Give f(19).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 668 or 5?\nAnswer: 668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 18*b**2 + 6*b - 2. Let n(f) = -2*f**2 - f - 3. Calculate -c(s) - 5*n(s).\nAnswer: -8*s**2 - s + 17","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4516 + -1.4516020944. Round z to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/((450\/21)\/10)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -8*l + 6*l + 5*b, -48 = -l - 4*b. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3829*f**3 - 2*f**2 + 2. Let k = 138 + -139. Is g(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7126 and 566986?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/3 + 21990*l**2 - 1385791*l\/3 + 439940 = 0. Calculate l.\nAnswer: -65991, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -966879, -3867454, -8701745, -15469752, -24171475?\nAnswer: -34806914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/40 - 26\/48. Which is the closest to -0.1? (a) g (b) -2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3\/5 + 144*c**2\/5 - 2*c\/5 - 144\/5 = 0.\nAnswer: -72, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1335*k + 9329. Let s be a(-7). Round s to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178867*x - 178867*x + x**2 - 3*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -109*z**3 - 32*z + 597*z**3 + 326*z**2 - 278*z**2 - 252*z**4 = 0. What is z?\nAnswer: -2\/7, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + 50. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 99, -11 in decreasing order.\nAnswer: 99, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 3*o**3 + 2*o**3)*(2 + 5 + 6)*(14*o + 14 - 3*o - 9*o).\nAnswer: -78*o**4 - 546*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Let t = -4937015 - -3929864545\/796. Let i = 2\/199 - t. Which is the nearest to 1? (a) i (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115935?\nAnswer: 3, 5, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.078 + 9.088. Which is the second biggest value? (a) -1 (b) -0.2 (c) 0 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**5 - 4 + 4 + (-j**2 - 2*j**2 + 5*j**2)*(4 - 4 + 2*j**3) + (0*j + 2*j + 0*j)*(-2*j**2 - 2*j**4 + 2*j**2) - 1 + 1 + j**5 - 1 + 1 - 2*j**5.\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25376, -25413, -25450, -25487, -25524?\n\"Answer: -37*y - 25339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*l - 8*l - 525. Let g = l - -28. Solve -4*b = 3*v - 15, 5*v - 5 = b - g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 33153187 and 33153188 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 30. Calculate the remainder when ((-427)\/28)\/((-1)\/4) is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - (49 - 80)) + -32.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c - 60. Let w be s(15). Let q(a) = -6*a + 4. Let x be q(w). Let b be ((-6)\/x)\/(5 + (-53)\/10). Solve -3 - 17 = -b*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15 = 6*v, -3*v = -i + 26. Suppose 50 = i*t - t. Let r(a) = -a - 9. Let k be r(-4). Put t, k, 3 in decreasing order.\nAnswer: t, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l*m**2 - 40*l*m - 29911*l - 14227336*m**2 - 11 wrt m.\nAnswer: 2*l - 28454672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 256\/(-768)*2*2\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 - 174*v - 644. Give p(-54).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*n - 4. Suppose 4*j - 1 = -2*a - 3, j + 5*a - 22 = 0. Sort j, -2, n in increasing order.\nAnswer: j, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4798, -1, -13\/5, -0.5, -42, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 264384 divided by 132192\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4262 + -1485. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 15*r - 19. Calculate i(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -68*(3\/(-5))\/((-4)\/5). Let h = -54 - r. Let k(j) = 7*j + 28. What is the units digit of k(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/154 + 3\/77. Which is the nearest to -3\/2? (a) -1\/3 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3\/5 - 12*o**2\/5 + 16*o\/5 + 48\/5.\nAnswer: -4*(o - 2)*(o + 2)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9*w = -24. Let u(m) = -m + 1. Let k(g) = -5*g + 4. Let p = -4 + 6. Let i be p\/(-5) - (-7)\/5. Calculate i*k(c) + w*u(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/((-8319)\/20915)*((-12)\/(-10))\/((-36)\/(-18)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 0, -4*w + 5*f - 4 = -2*w. Let x = -0.99 + 0.96. Which is the third smallest value? (a) x (b) 2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7660?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1319166 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18717229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 9*h**2 - 11*h - 6. What is j(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29557315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 29, 29, 27, 23, 17, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 0 - 1\/24*u**3 - u**2 - 1\/240*u**5 - u + 1\/48*u**4. Let k(d) be the first derivative of v(d). Factor k(z).\nAnswer: -(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(5\/(-20)). Is 82*-1*(-1)\/i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49684214719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -826 - -829. Suppose f*d + 2016 = 4*i, -1 - 7 = 2*d. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -29 + 73. Let s = 15 - n. Suppose -s*f = 7 - 27. Solve -f*q - 6*w + 10 = -w, 5*q = 3*w - 30 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(72)\/sqrt(4) + (sqrt(2) - (sqrt(242) + 1)) + 1*(1*sqrt(200) + sqrt(200) + sqrt(200) - sqrt(200)))**2.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 + 16 - 16. Let q(p) = -6*p. Give q(s(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*o + 3*o**2 + o + o - 4*o**2 wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czoczck. Give prob of picking 2 z, 1 k, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -89*v + 354. Let k be s(-14). What is the highest common divisor of k and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((348\/1276)\/((3\/2)\/(-3)))\/(7\/77)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.51600195 rounded to 1 dp?\nAnswer: -27.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l**2 - 47 + 27 + 20.\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d + 0*d**4 + 0 + 1\/3*d**3 - 1\/15*d**5 - 4*d**2. What is the derivative of t(s) wrt s?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6647202830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2721238, 2721241, 2721244?\nAnswer: 2721247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h**2 + h + 1. Let w(y) be the first derivative of -86 + 1\/2*y**4 - y**3 + 3\/2*y**2 + 3*y. Determine 3*s(g) - w(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 7094*f + 148763. What is n(21)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 20 = 0, -2 = -5*g - 5*h + 18. Suppose g*v + 40 = 2*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-13)\/(117\/(-2))*-3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8912608 to the power of 1\/2, to the nearest integer?\nAnswer: 2985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 3*d + 10. Let y(g) = 4*g**2 + 6*g - 21. Give -13*o(t) - 6*y(t).\nAnswer: 2*t**2 + 3*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7652 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1097*h**4*l*n - 836*h*l + 18*l*n - 53*l - n + 57 wrt h.\nAnswer: 4388*h**3*l*n - 836*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 10*z**2 + 2*z**3 + 13*z**2 - 12 in the form g*z**3 + h*z + l + o*z**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59083827 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(0 + sqrt(2))**2 - sqrt(2)).\nAnswer: -6*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -1410, -4425, -10132, -19389, -33054, -51985, -77040?\nAnswer: -109077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**2 - 9*a. Let z(t) be the third derivative of 0*t**3 + 3*t**2 - 1\/30*t**5 + 0*t**4 + 0*t - 2. Calculate z(o(g)).\nAnswer: -32*g**4 - 144*g**3 - 162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) 0.3 (c) -2\/8073 (d) 303 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 108.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108*h**2 + 59*h**2 + 10*h**3 - 36*h**3 + h**4 - 49*h**2 wrt h?\nAnswer: 24*h - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72.6 + -73. What is the biggest value in -2\/13, k, -1\/5, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdsjudgu. Give prob of picking 1 j and 1 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8168*r + 3053*r + 12651*r - 3271*r to d*r + a and give d.\nAnswer: 20601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 7*f**2 - 6*f - 18. Let s = 986 - 978. Determine h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2424 = -294*q + 92*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2261, 2282, 2337, 2438, 2597?\n\"Answer: 2*h**3 + 5*h**2 - 8*h + 2262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1617097683 to the nearest integer?\nAnswer: 40213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 77 + 10 = j, -63 = -3*o + 3*j. Let s = -71 + 420. What is the remainder when s is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inclililncillcc. What is prob of picking 2 l and 2 i?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2. Let n(s) = -235235226*s. Give v(n(h)).\nAnswer: 55335611551271076*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -l + 236, 28*l + 3*f + 1192 = 33*l. Which is smaller: l or 1929\/8?\nAnswer: 1929\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by -32.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1, -0.02, 1\/3, 3.82 in decreasing order.\nAnswer: 3.82, 1, 1\/3, -0.02, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5648 + -1093\nAnswer: 4555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 74*v**2 - v - 1. Let c be 1\/((-3 - -2) + 0). Is 25 a factor of f(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 188, 325, 442, 527, 568, 553, 470?\n\"Answer: -2*s**3 + 2*s**2 + 145*s + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*o + 124*o - 258*o.\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8 + 4.3. Let f = -3.1 + 0.1. Which is the third smallest value? (a) 0.3 (b) i (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 57. Let z be 18 + -1*1\/1. Calculate the greatest common factor of z and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(972))\/(sqrt(108)\/(sqrt(768) + sqrt(12)) - sqrt(9)).\nAnswer: -81*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by -96011?\nAnswer: 150\/96011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 + -3 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -371130.7186 to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 20, 0 = 2*p - 4*q + 6 - 24 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 65, 155, 305, 515?\n\"Answer: 30*x**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 16*v = 0. Suppose v = 6*q - 12 - 0. Let i(a) = 26*a**3 + a**2 - 1. Is i(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -24*d**3 + 222*d**2 - 495*d + 240. Let l(v) = 12*v**3 - 110*v**2 + 247*v - 120. Let p(r) = 3*j(r) + 7*l(r). Factor p(u).\nAnswer: 4*(u - 5)*(u - 3)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107684, -215377, -323070?\nAnswer: -430763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5769.016 micrograms?\nAnswer: 5.769016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -13.07. Let f(k) = -2*k - 5. Let m be f(-5). Which is the third biggest value? (a) m (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, w: 1, l: 1}. What is prob of sequence pl?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 240, 3, 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, v: 4}. What is prob of picking 2 m and 1 v?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019689 to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-15)\/3*(-6 + 7). Suppose -2 = -3*w - d + 1, -5*d = -s*w + 25. Calculate the greatest common factor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -124, -234, -456, -826?\nAnswer: -1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.7445 to two decimal places.\nAnswer: 24.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7577)\/(-5) - 12\/30. Suppose -3*z + 5301 = u. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 4*b**2 - 3*b + 3. Let a(h) be the second derivative of h**5\/20 - 3*h**4\/4 - 7*h**3\/6 + 7*h**2\/2 - 234*h. Determine -6*a(g) + 14*p(g).\nAnswer: 8*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen ninths of a hour in seconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 427 = -3*v - 408, -4*v - 33 = 3*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-62)\/(-130) + 216\/270?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 1 + 24. Suppose -5*q = 5*b - 20, q = -4*q + a*b - 20. Is ((-449)\/(-2))\/(q + 3\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -7. Let n be 16\/(-15) + w\/(-9). What is the closest to n in -2\/3, -1, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 134253?\nAnswer: -134301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 3, -4, 566, -1\/4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 91 + 0*q**2 - q - 7\/12*q**4 - 1\/2*q**3 - 29\/20*q**5. Find the third derivative of j(l) wrt l.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8702\/9 + 967. Let g = -1 - -1\/2. Which is the closest to g? (a) -9 (b) 2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2\/(-1))\/((-50)\/(-30)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 11 = 3*y, -5*y + 5*m + 14 = 4. Let g(c) be the first derivative of 12\/5*c**2 - 2\/25*c**5 + 3\/5*c**4 - 8\/5*c - 3 - 26\/15*c**y. Factor g(f).\nAnswer: -2*(f - 2)**2*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) -2.1 (b) -5\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + d - 1. Let b(x) = -7*x**2 + 14*x - 14. Let f(g) = -b(g) + 6*s(g). Let m be ((-2)\/(-3))\/((-2)\/(-21)). Let l = -1 + m. Determine f(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*i**5 - 13*i**4 + 4*i**3 - 46*i - 66?\nAnswer: -440*i**3 - 156*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 5 - 189\/(-14)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010100111100100 (base 2) to base 8.\nAnswer: -624744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2138114343 - -2?\nAnswer: 2138114345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 705764519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1587081, -3174095, -4761113, -6348135, -7935161, -9522191, -11109225?\nAnswer: -12696263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 944.3236l?\nAnswer: 944323.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16886*g**6 + 16802*g**6 + 220*g**2 - 75*g**2 wrt g?\nAnswer: -10080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060129093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -122a70 (base 11) in base 7?\nAnswer: -1436264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 73 = r, 3*y + 3*r = 2*r - 107. Let h = -3 + y. Let b = h - -30. Let j(p) = p**2 + 9*p + 5. Give j(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1351\/8943 + -25\/813. Which is the closest to -17? (a) j (b) 2 (c) 0.014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/22)\/((-6)\/(-1 - 11)). Let y(h) = -h**2 - 5*h. Let n be y(-5). Which is the closest to n? (a) 5 (b) t (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Suppose -2*c - 120 = -4*h - 0*h, c + 88 = 3*h. Suppose -3*t = -4*o + h, -5*o + 3*t + 21 = -2*o. What is the remainder when o is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -190. Suppose -97 = -6*d + s. Calculate the remainder when 145 is divided by d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39662437 to the nearest integer?\nAnswer: 6298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19339, 77396, 174167, 309652, 483851?\n\"Answer: 19357*n**2 - 14*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -3\/7, -3\/4, 3\/5, 0.1, -220?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 7892 (c) 11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 60713511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 47 = i, 0 = 5*i - 4*a + 5*a - 157. Let f = -27 - -54. Let g = f - i. What is g rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/6 and 6\/212828327?\nAnswer: 1276969962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -14.6. Let r = 25 - 23.5. Let c = r - i. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - 5 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 3. Let a be f(-4). Let l be ((-1)\/(-2) - a)*22. Let c = l - -20. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 11. Suppose 4*p + 4*o = -o, j = 3*p - 3*o + 27. What is the smallest value in 1, 3\/8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 7*x**2 + 3*x - 6. What is the tens digit of q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 12*w**2 - 7*w - 19. Let k be y(13). Let j = k - 55. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yaaylaa. What is prob of sequence aaaa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 14*m - 6. Let u(y) = y - 1. What is -s(o) + 4*u(o)?\nAnswer: -o**2 - 10*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -13*a - 2. Let z(u) be the first derivative of 0*u**4 + 0*u + a + 1\/2*u**2 + 0*u**3 - 2\/5*u**5. Find the second derivative of z(c) wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 7 = d - 5*c, -5*c + 25 = 5*d. Suppose 5*y = 3*z + 580, -d*y + 4*z - 40 + 286 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -84 and 41?\nAnswer: -3444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v - 36. Let a be (v\/2)\/(-3 + 2). Is (a\/12)\/((-2)\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.071 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -23003*f + 80 - 204 + 42 - 198 + 22990*f. Determine p(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69588949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-20)*t**7*t**(-2\/55)\/(t*t**(3\/17)*t) assuming t is positive.\nAnswer: t**(-14224\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.7 and 8.87137.\nAnswer: -86.052289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 1 - 19)*(0*c + 4*c - 31*c**2 - 4*c + 90*c**2).\nAnswer: -2006*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 128*b + 10240 + 2\/5*b**2 = 0.\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 63*1 + (1 - 5). Let o = 322 - c. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.7 - -19. Sort 1, -3, x in ascending order.\nAnswer: -3, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((1 + sqrt(425))*-3*5 - ((sqrt(425) + sqrt(425) + 0 + 3 - sqrt(425)) + sqrt(425) - sqrt(425) - -2*(sqrt(425) - (0 + sqrt(425)))))*1)**2*2.\nAnswer: 5760*sqrt(17) + 218244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2. Let r = -2 + 3. Let d = r - 1. Let j(f) = -f + f + f + d. Calculate c(j(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 20*h**2 - 23*h + 6. Give c(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g*s**4 + 2*g*s**3 + 6796*g*s**2 - g - 153*s**4 + 2*s**3 + 19*s**2 wrt s.\nAnswer: 72*g*s + 12*g - 3672*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0914864 to 3 dps.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = s - 211, 0 = -4*s + s + 3*b + 645. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (11 + -27 - -19 - -12) - -60?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -16, p + 0*p - 3*a = -224. Let q be (-7 + 9)*(-2)\/p. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4239*v + 1320 = 4179*v + 300 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269747472?\nAnswer: 2, 3, 5619739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkkenel. Give prob of sequence kt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**3*v**2 - q**3*v - 485*q**2*v**2 + q**2*v - 104*v**2 + 85777*v wrt v.\nAnswer: -4*q**3 - 970*q**2 - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 215*i**3 + 11*i**2 - 5. Let f(u) = 18155 + 43*u**3 + 4*u**2 - 2*u**2 - 18156. What is 11*f(j) - 2*x(j)?\nAnswer: 43*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2146.\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*x**5 + 2*c*x**2 + 34*x**6 - 3*x**3 + 39*x**2 wrt x.\nAnswer: -120*c*x**2 + 4080*x**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 44272 and -28040234700.\nAnswer: -28040190428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5 = 4*j - 13, 5*j - 4*u - 30 = 0. What is the third derivative of j*x**5 - x + 3*x**2 - 4*x**2 + x wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y**3 + 2*y - 1. Let w(z) = 7 - 2*z + 17*z - 3*z - 18*z. Let c be w(1). Determine d(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 7*d + 8. Let c = 14 + -8. Let g be o(c). Find the first derivative of -2 + 2*u**g - 3*u + 3*u wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, m: 3, y: 3, n: 3, b: 8, j: 1}. Give prob of picking 2 y, 1 b, and 1 a.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 119, 219, 387, 653, 1047, 1599?\nAnswer: 2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, 1\/2 in decreasing order.\nAnswer: 16, 1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*v - 12 = 0, 4*v + 15 = w - 3 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2552289, 2552293, 2552299, 2552307, 2552317, 2552329, 2552343?\n\"Answer: f**2 + f + 2552287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -387 - 82 + 52 - z - 2*z to w*z + l and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17317783?\nAnswer: 7, 1123, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 140302386161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5394830, 5394822, 5394810, 5394794?\n\"Answer: -2*q**2 - 2*q + 5394834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from dwdddddwd?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 3 + 14\/(4 + -2). Let b(v) = -8 + 7*v**2 + 2 - 2*v**3 + c*v**3 - 5*v - 3*v**3. Suppose 5 = 2*x - 7. What is b(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 2*s**2 - 2*s + 158. Let k be p(0). Let x be (k - -1 - 6) + 3. Calculate the highest common divisor of x and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 7 - (80 + -85).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(224) + 2*sqrt(224))*-5)\/(-3*((sqrt(7) - sqrt(35)\/sqrt(5)*-4) + sqrt(28)\/(-1*sqrt(4)))).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 1a?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -57 (b) 3\/7 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10331301 + -333321?\nAnswer: -11220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 5*n**8\/336 - n**7\/35 - 49*n**6\/120 + n**5\/2 + 29*n**4\/6 - 4*n**3 - 2*n**2 - 133. Suppose d(v) = 0. Calculate v.\nAnswer: -2, 1\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 12:35 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - 4*g + 3. Calculate the lowest common multiple of i(3) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 441*i**3 + 109*i**3.\nAnswer: -332*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, k: 2, r: 2}. What is prob of sequence kkkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3640.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g - 220. Let h be d(-17). Let j = -10 + 5. What is the second biggest value in 6, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -0*v + 5*v. Suppose -5*w = -v - 21. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1679886122 to the nearest integer?\nAnswer: 40986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 17*o - 36. Let t be x(3). Let s(h) = -3*h**2 + 2 + h**3 - h + 0 - 3*h**2. Give s(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + 0.4. Let u = 0 + 2.4. Let t = u + -2. What is the second biggest value in t, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17352745 by -14.\nAnswer: -17352745\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*d - 34, 0*d + 5*d = -3*q - 4. Let l = 225 + -225. Let k(h) = h**2 - 16*h - 13. Let j be k(17). Solve -m - q + j = l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 54\/5*j - 4*j**2 - 36\/5 + 2\/5*j**3 = 0.\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074441 rounded to 3 dps?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -1, 11.0941, 2, -3\/2 in descending order.\nAnswer: 11.0941, 2, -4\/5, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 46 + 45 = 45 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x = -79*x + 5. Let b(s) be the first derivative of 1\/18*s**3 - 2 - 1\/30*s**x + 1\/24*s**4 + 0*s**2 + 0*s - 1\/36*s**6. Factor b(i).\nAnswer: -i**2*(i - 1)*(i + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150425651.\nAnswer: 150425651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1858, 1855, 1850, 1843?\nAnswer: 1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -566347\/23, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -9*x**3 + 5*x**2 - 5*x. Let h(m) = 10*m**3 - 6*m**2 + 6*m. Let j(u) = u**2 + 8*u + 7. Let s be j(-6). What is s*h(v) - 6*g(v)?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -804.9 and -45?\nAnswer: 36220.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**2*y - v**2 + 11*v*y + 26*v - 122530*y wrt v.\nAnswer: 2*v*y - 2*v + 11*y + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 30041?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 1:12 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -38, -60, -102, -170, -270?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3111.9 - -3111. What is the third biggest value in -0.1, f, 0.2, 0.09?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 - -100.2. Which is the nearest to -1? (a) -1\/6 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 14. Suppose 2*m = 2*d - 5*d + 39, -2*d = 3*m - 26. What is the remainder when d is divided by f(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 26*c + 58, 3*c = -6*y + 1432 - 1219 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 0 + 55 + -13 + -1 + -15 + -2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 9*p + 44. Let q be y(-20). Let w = 181 + q. Put w, -3, -10 in increasing order.\nAnswer: -10, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 2 - (0 + 2) - -11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 143843, 143844, 143845, 143846, 143847?\n\"Answer: i + 143842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 2. Suppose 0 = 4*n - 3 - 9. Let d be t(n). List the prime factors of 62 - (-4)\/(d + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/85, 42523, -1, -1\/22?\nAnswer: 42523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273 divided by 55002.\nAnswer: 91\/18334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 6:13 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 10, 2 in descending order.\nAnswer: 10, 2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 549, -0.1, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 14 = -4*z, 0 = 3*j + 37*z - 35*z - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -24699*q + 148209. Calculate h(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 7 - 6*c - 7*c**2 - 2\/3*c**3. Let f be n(-6). Solve -20 = f*m - m + 3*t, 0 = 2*m + t + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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 n be ((-12)\/14)\/((-4)\/(-196)). What is the least common multiple of (-259)\/n + 2\/(-12) and (-34)\/(-4) + 9\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50586.9511405 + 50587. Let n = z + -0.0488. Round n to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*j + 245, -3*j + 43 = 4*a - 153. Suppose a*m - 4650 = 24*m. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + a - 16 = -0*w, 5*a + 1 = -2*w. Let g be -1*(2 - w\/(-1)). Put -6, 0, g in ascending order.\nAnswer: -6, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - -0.09. Let j = 18692.5 + -18692. Which is the third smallest value? (a) j (b) i (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -114\/1783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*b + 8, 4*b + 7 + 1 = -2*a. Let n(x) = 4*x + x + 25 + 56 - a*x. What is the remainder when n(0) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -2. Suppose s*h - 8 = 22. Does 15 divide (-50)\/((-3)\/h*4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 138, 212, 288, 366, 446, 528?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*v - x - 16, 2*v - x + 4 = 0. Put v, 0, 4 in increasing order.\nAnswer: v, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53640 = 1259*y + 231*y for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2 = 5*t, 4 - 12 = -4*t + 4*k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - j**2 + j - 28. Determine z(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -10. Let z be 6\/o*3\/(-9). Let j(g) = -14*g - 9. Let v be j(-1). What is the closest to -0.2 in z, v, 1\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - -62 - (-4 - -3)*0. Suppose -384 = -w*i + 60*i. What is the first derivative of 36*l**4 - i*l**4 + 16*l**4 - 4 + 36*l**4 wrt l?\nAnswer: -160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 25*g - 844. Let k be i(-16). Calculate the highest common divisor of 26792 and k.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 209195, 208711, 207911, 206795, 205363?\n\"Answer: -158*d**2 - 10*d + 209363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*sqrt(2) + sqrt(2)) + sqrt(22)\/(sqrt(22)\/sqrt(2)))**2 - (sqrt(1568) + (-1*sqrt(1568))**2 + 1).\nAnswer: -1327 - 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/3 - 5228297*y**2\/3 + 6833774994200*y\/3 - 6833769765904\/3 = 0. What is y?\nAnswer: 1, 2614148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*w + 204*w = 39. Solve 0*m = w*m - 5*p + 14, 2*m = 3*p - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87 and 1305.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:17 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 180585280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504842499.\nAnswer: 3, 7, 8013373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8741 divide 1570102125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101697 is divided by 699?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 103 - 123 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 9. Let b be y(11). Let a(r) = -r**2 + r - 3. Let x be a(2). Put -1, x, b, -2 in decreasing order.\nAnswer: b, -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.5 - -11. Let n = 91857\/7 - 13122. Put n, -2\/51, h in ascending order.\nAnswer: -2\/51, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**2 + 5359*x - 65*x**2 - 2668*x - 2691*x.\nAnswer: -78*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/11 + 6*y**4 - 14*y**3 - 2154*y**2\/11 - 3132*y\/11 = 0.\nAnswer: -3, -2, 0, 9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from ryryr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 17, -2, -3, 2 in decreasing order.\nAnswer: 17, 2, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*w - 4529 = 2291 - 796 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27666 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 7*y. Suppose -2*p + 35 = -7*p. Let g(z) = -z**2 - 3*z. Calculate p*g(i) + 3*t(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.06 (b) 0.5 (c) -168 (d) -19888 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 30*i - 95. Let l = -284 - -260. Let g be c(l). Which is smaller: g or 50?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**3 + 3*i**2 + 1439. Let u(n) = -21*n**2. Determine w(u(q)).\nAnswer: -1323*q**4 - 126*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9183922.\nAnswer: 2, 11, 417451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**2 + 3*r**2 - 7*r**2 - 2*r**3 in the form y + w*r + j*r**3 + n*r**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -1102011?\nAnswer: 1101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -983.863665 to 0 dps.\nAnswer: -984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 15*d**2 + 17*d + 17. Let j be n(-16). Is 10 a factor of (18 - j) + 2 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70318543 is divided by 2805.\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/60 - 53*n**4\/24 + n**3\/2 - 17*n**2. What is the units digit of w(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10004167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 215 - 239 - 2*z**2 - z**2 + z**2 in the form m*z + t*z**2 + c and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.147 - -0.047. Let k(q) = q**2 + 54*q + 726. Let n be k(-27). Put 0.2, n, f, -2 in increasing order.\nAnswer: n, -2, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 0*i**5 + 0*i**4 + 0 + 2\/15*i**6 + 2*i + 0*i**3 - 2*i**2. Differentiate g(f) with respect to f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20011111100 (base 3) in base 15?\nAnswer: 25e69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**5\/30 + v**4\/4 + 2*v**3\/3 - 32*v**2 - 8*v. Let k(i) = i - 1. Calculate 5*k(m) - z(m).\nAnswer: 2*m**2 - m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136692447?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 + -66. Let c = -29 + t. Let u = -1636 + 1800. What is the remainder when u is divided by c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccjc when four letters picked without replacement from jjjcjjcjjjjjcccjjcj.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, f: 2, h: 1, w: 1, o: 4}. What is prob of sequence ffl?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46932058.\nAnswer: 2, 37, 61, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 16\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + 1 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01191 * 8863.\nAnswer: -105.55833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 3*n**2 - 2*n + 3. Let a be -12 + 10 - -6*1. Calculate the remainder when y(a) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 3*a - 3. Let w(o) = 3*o**2 - 5*o + 5. Let f(v) = -5*u(v) - 3*w(v). Let r = -3 - -3. Let i(c) = r - c + 0. Calculate i(f(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 26*z**2 + 15*z + 16. Let u be d(10). Let o = 2086 + u. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 7*f + 11. Let q(a) be the second derivative of 1\/45*a**6 + 1\/63*a**7 + 0 - 2\/9*a**3 - 5\/18*a**f - 1\/10*a**5 + 4*a + 0*a**2. What is v in q(v) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p - 145. Let s = 47 - 62. Let c(g) = -g**3 - 15*g**2 - 6*g - 32. Let l be c(s). What is the highest common factor of p and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + -0.08. Let m = -0.06 - k. Which is smaller: m or 0.6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iliiliilii. Give prob of picking 1 i and 2 l.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p\/(p\/(p*p**(4\/5)))))\/p*p)*p)**39)**1 assuming p is positive.\nAnswer: p**(546\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 724377779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1788 = -1680. Calculate the lowest common multiple of 63 and g.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40426, 161562, 363408, 645964?\nAnswer: 1009230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 8 - -11 - (-5 - (1 + -3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2448)*-6)**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 - 800*r\/11 - 1608\/11.\nAnswer: 2*(r - 402)*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3, 2*k + 3*t - 25 = -8. Calculate the remainder when 5*5*(-2)\/(-100)*(64 + 10) is divided by k - (-2 - (-2 - 3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -9950.6.\nAnswer: -9956.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 1, r: 6, j: 3, g: 6}. Give prob of picking 1 g and 1 u.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - 1.1. Let z = 1 + n. Which is the closest to -2\/7? (a) z (b) -0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 37 - 27 = 0. Solve i*x - 10 = 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 i when three letters picked without replacement from {o: 4, i: 3, m: 6}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + a + 3 = 0, 0 = -4*i - 5*a + 2*a - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11955.78 millilitres?\nAnswer: 11.95578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -z - 2*f, 65*z - 13*f + 14*f - 1 = -3*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d**2 - 6*d. Let n(c) = -2*c**2 + c. Suppose -5*u - 2*f - 80 = 0, 3*u - 20*f = -17*f - 48. Calculate u*n(w) - 3*m(w).\nAnswer: 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10120 (base 3) in base 6?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1 + -4 - (0 - 294). Let c = d + 57. What are the prime factors of c?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 1:08 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25446910189693455397\/50708218573 - 6102\/956758841. Let j = -501802671 - p. Let v = j - 27424. Calculate the common denominator of v and 7\/4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 20*t**2 - 3*t. Let n(d) = 0*d - 6*d + d + 2*d. Calculate x(n(j)).\nAnswer: 180*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.92287g to kilograms.\nAnswer: 0.00492287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 282056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 2*c + 2 + 6*c**2 + 3*c**2 - 1. Let g be (2\/(-4))\/((-3)\/(-6)). Give o(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 + 3*m**4 + 9*m**5 + (m - 4 + 4)*(-43 - 30*m**4 + 43).\nAnswer: -21*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -2, 305, 10 in descending order.\nAnswer: 305, 10, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4416.7l to millilitres.\nAnswer: 4416700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 426075 by -1.\nAnswer: -426075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 586*y + 144*y - 648*y + 150*y + 0*y**2.\nAnswer: -y**2 - 940*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 - 87. Let q(x) = -8*x**2 - 4*x - 6. Let t(d) = 9*d**2 + 5*d + 7. Give m*t(y) - 7*q(y).\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2428*y - 728*y - 6993 = -193 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 1280678.294711.\nAnswer: 1280678.794711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + -1 + (-6)\/2. Let i be (-3*(-16)\/6)\/((-3)\/r). What is the remainder when ((-77)\/(-14))\/((-2)\/i) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oipippu. Give prob of picking 3 p and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**3 - 70*b**2 + 303*b - 3033. What is i(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (620\/(-20))\/62*(-8)\/106*1?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 2*j - 5*j + 3*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*j + 10. Suppose -5*a + 10 + j = 0. Suppose 4*m + 2 + m**2 + a - 2 = 0. Calculate m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*y**4 - 113*y - 709.\nAnswer: 12*y**3 - 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. Let o = -8 + k. Let x(n) be the first derivative of -2*n**3\/3 - 5*n**2\/2 + 4*n + 1. Calculate x(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-335 - -347) + 1 + 1 + -3 + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -13 + (11 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 317967*c - 318213*c + 13530 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 424, 636?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d**2 - 4*d + 4. Let i be -3*1*(-25)\/75. Calculate x(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 65. Solve 5*m + 4*v = a, -m - 6*v = -v - 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 29 = -5*o, 0 = 4*j - 122*o + 126*o - 28. Solve 10 = -7*p + 2*p - 2*q, -j*p - 5*q = -17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1020281, -2040499, -3060717, -4080935, -5101153?\nAnswer: -6121371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5 + 200*i**4\/7 + 22*i**3 - 152*i**2 - 312*i\/7 = 0. What is i?\nAnswer: -13, -3, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8871.762mm?\nAnswer: 0.008871762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 6*q + q)*(-24 - 1 - 18).\nAnswer: 86*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7878139?\nAnswer: 7878139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 209435932.02 - -13806074477.98. Let c = 14015510479.00000073 - d. Let f = -69 + c. Round f to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {v: 3, h: 2, q: 6, j: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 - 12153*w**2 - 13581477*w - 2508869727 = 0. Calculate w.\nAnswer: -1911, -229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 36 = -4*w, 4*w - 893 = -3*o - 897 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3841 + -154801315401\nAnswer: -154801311560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) -2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*u**2 + 13*u**2 - 69*u**2 + 46*u**2.\nAnswer: 43*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1064, 2, 9, -3, -4.\nAnswer: -1064, -4, -3, 2, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2075 and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 280*j**3 - 36*j**2 - 114*j + 7066198 wrt j?\nAnswer: 840*j**2 - 72*j - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 86946, 173832, 260718, 347604?\n\"Answer: 86886*c + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**2. Let w(g) = -4*g + 17. What is w(n(l))?\nAnswer: 28*l**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 48 = 4*o, -24 = o - 2*k - 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 1.4. Let z = l - 2. Let o = -1.6 + z. Which is the third smallest value? (a) o (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 d, 1 f, and 1 o when four letters picked without replacement from {f: 2, b: 2, k: 1, n: 1, d: 2, o: 7}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfefmzefnfezmeeffn. What is prob of sequence meee?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 5*m**2 - 7*m - 20. Let o be l(-4). Let u be (-270)\/(-20)*o\/(-3). Calculate the greatest common divisor of 48 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22724 is divided by 22456?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -12 + 5 + 3*p**2 + p**3 + p - 4*p**2. Let c(k) = k - 5. Let a be c(2). Let u be (3\/(-3)*0)\/(4 + a). Give y(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38092, 37128, 35544, 33346, 30540, 27132, 23128, 18534?\n\"Answer: x**3 - 316*x**2 - 23*x + 38430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from zboqiico.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 82437766 - 4?\nAnswer: 82437762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**3*w**2 - 112*q**2*w**2 + 309*q*w**2 wrt q.\nAnswer: 6*q*w**2 - 224*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -1. Let o = -0.51 - -0.01. Let p = 4.5 + o. Put a, 0.2, p in decreasing order.\nAnswer: p, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c - 107*c**2 - 19*c - 13*c + 3*c + 4*c.\nAnswer: -107*c**2 - 46*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*i + 272580 = 1382*i + 861*i for i.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*z - 9. Let y be ((-6)\/z)\/(2\/72). What is the common denominator of -107\/6 and (-1)\/5*2620\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and 1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 388?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 271853178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12397 and 28175.\nAnswer: 309925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13251 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -6, 3*o - 4*d + 7*d = -9. Let q(j) = -3*j**2 - 3*j. Let g be q(o). What is the units digit of (-3225)\/g + (-2)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2397*s + 59881. Calculate j(25).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6*(-30)\/(-4). Calculate the highest common divisor of 20 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*f + 7*f. Suppose -2*w - 4*b + 24 + 8 = f, -4*w + 19 = -b. What is the common denominator of (-3)\/w - (-4 - 270\/(-58)) and -77\/2?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 575.\nAnswer: 7\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*u + 9689 - 2073*u**2 - 9691 + 110*u as x*u**2 + w + f*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -204 times 0.34\nAnswer: -69.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 104\/234 - (-16974)\/81. What is the highest common divisor of 714 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.56616 rounded to one dp?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2. Suppose 4*b = -0*b. Let i(w) = 0*w**2 + 0 + b - 4*w**2. Determine i(p(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(320)\/(sqrt(8)*2) + sqrt(40))*-1)\/(sqrt(64)\/sqrt(32)*-5).\nAnswer: -12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.748649ml in litres?\nAnswer: 0.006748649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -45 + 33. Is (10832\/64)\/(1\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2. Let p(m) = m - 2*m - 7*m + 0*m. Give d(p(t)).\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 20854.6055 to the nearest integer.\nAnswer: 20855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 19.08?\nAnswer: -9.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -160.26983 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2136.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*y + 12, -5*a = y - 5*y - 3. Suppose -3*o - 5*v = -4*o - 17, 15 = y*v. Let h be 2\/o + (-6)\/(-72). Put h, 1\/7, 2\/15 in increasing order.\nAnswer: 2\/15, 1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-7)\/(189\/(-2))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 261*x + 2384. Let h be d(-2). Calculate the greatest common factor of 343 and h.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 1096319?\nAnswer: -1096327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/12 and 315\/75*3\/54.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -62*g + 1137. What is a(18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + o**4 - o**4 + (0 + 0 - 1)*(-4*o**4 - o**4 + 3*o**4) + (-4*o + 4*o + o**2)*(2 - o**2 - 2) - 3*o + 3*o - 2*o**4 - o**4 - 2*o**4 - 4*o**4.\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asa when three letters picked without replacement from {a: 3, b: 3, s: 5, u: 1, n: 1}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/11 - 6262*f**3\/11 + 6811770*f**2\/11 - 2837411650*f\/11 + 287641863500\/11.\nAnswer: 2*(f - 995)**3*(f - 146)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 - 632847*b\/5 - 1898568\/5.\nAnswer: 3*(b - 210952)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1114 + 1447. What is the highest common factor of 444 and r?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**2 - 7*y - 7. Let x(u) = 2*u**2 + 2*u + 2. Determine 2*v(c) + 7*x(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 396147937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9827312 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 20*c**2 + 22*c - 35. Let m be o(21). Let g(z) = -z**3 - 13*z**2 + 4*z - 5. Let d be g(m). Round d to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*r + 21 - 15 = 0, r = 5*b - 78. What is the remainder when 686 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601 - -31 - (-3 - -16) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 100*p**2 + 283*p - 1031. Give u(-97).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:59 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**7*w*w*w**(-5\/7))\/(w**13\/w*w*w*(w**29\/w)\/w) assuming w is positive.\nAnswer: w**(-215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2736) + 2))**2 + -5 + ((sqrt(2736) - (-2 + sqrt(2736)))*-6 + -4)**2.\nAnswer: 1200*sqrt(19) + 68751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/14 + 0)\/2. Sort 1, 4, i, -1\/6.\nAnswer: -1\/6, i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952618 is divided by 952345?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = -9*i + 57*i. Calculate the highest common factor of 13 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7579, -15137, -22723, -30343, -38003, -45709, -53467, -61283?\n\"Answer: -y**3 - 8*y**2 - 7527*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4 + 9 + 0*v + 0*v + v. Let w be i(0). Solve w = -l + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 30 = -8*j - 24*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t + 12. Let x be p(0). Solve -4 = -4*v - x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.085, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52876173359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(228)*4)\/sqrt(4) + sqrt(57))\/((sqrt(150)\/sqrt(5))\/sqrt(10)).\nAnswer: 2 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -99870 rounded to the nearest one thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-11)\/((-99)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -400 + 757. Let u be ((-1398)\/8)\/(n\/4760). Round u to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -7. Suppose b*w = -w + 14. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25c5 (base 13) to base 5\nAnswer: -133100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 4, -5, -4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1238+5.0207\nAnswer: 1243.0207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5 + 9*a**2 + a - a**3 - 9*a**2. Let t be v(0). Suppose 3*w + t = -5*p - 5, -w - 3*p - 10 = 0. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (44\/66 - (-2)\/(-6))*(-2 + 2). Let c(u) = -u**3 - u**2 - u + 22. Give c(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1520 and 3720.\nAnswer: 141360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**4\/12 + 5*k**3\/6 - 3*k**2 - 36*k - 71. Give i(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/7 - 2816*r**2\/7 - 71600*r - 280000.\nAnswer: -4*(r + 4)*(r + 350)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 366, 385, 438, 543, 718?\n\"Answer: 3*u**3 - u**2 + u + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -273 - -274. Let k = -3.62 + -11.38. Is t less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 2ab?\nAnswer: 2ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in 1\/3, -0.01, -3\/5, -5, 3821, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + 196 + -188 - -9 - (-55 + -5).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 489300 and 233000.\nAnswer: 4893000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -828 by 36.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/237879 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5859*d**2 + 24*d + 1017. Let s(k) = k**2 - 2*k + 4. Let w(p) = m(p) + 12*s(p). What is the derivative of w(c) wrt c?\nAnswer: 11742*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93563\/233895 - -1\/46779. Let o be 0 + 2\/(-8) + -1. Let n = 2.7 + 0.3. Which is the nearest to w? (a) o (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**27)\/w*w*w*w**(2\/25)*w*w*w assuming w is positive.\nAnswer: w**(802\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 k when four letters picked without replacement from {g: 5, k: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*r + 119*r + 3740 = -125*r for r.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 21*q. Let s(p) = 32969*p**2. Give s(c(v)).\nAnswer: 14539329*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -204346*u**3 + 50*u**2 - u - 645.\nAnswer: -1226076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62 - 138?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 17. Let s be t(-20). Suppose i - 22 = s*d - 6, -i = -d - 10. What is the remainder when 26\/1*(-1)\/(-2) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -2 + 6\/(-2) - -8. Suppose -x = -s*x + 4455. Suppose 0 = b - 4*t - 903, -3*b + 2*b + t = -x. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(35)\/((sqrt(180)\/sqrt(4))\/sqrt(9))*-4)**2.\nAnswer: 40*sqrt(7) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/48 and -127\/912?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 10 - 17 + 401*t**2 + 161*t**2.\nAnswer: 562*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68760985 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 145124, 145104, 145056, 144968, 144828, 144624?\n\"Answer: -2*g**3 - 2*g**2 + 145128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {n: 2, o: 1, w: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*c**2 + 309*c - 3*c**4 + 28*c**3 - 3*c**4 - 293*c - 65*c**2.\nAnswer: -2*c*(c - 2)**2*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11722 less than -723097?\nAnswer: -711375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*n + 8*n - 36*n + 8*n + 63*n - 17*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x. Let c(o) = 1 + 0 - 7 - 4*o + 13*o. Let q(m) = 10*m - 7. Let v(g) = 7*c(g) - 6*q(g). Calculate w(v(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqqmyru. Give prob of sequence muqm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 2501106.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 53*k**2 + 107*k - 348. Does 191 divide n(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 103*c**3 + 8 - 3 + (c - 2 + 2)*(1 - 1 - 2*c**2) + c**3 - 2*c**3 + 2*c**3.\nAnswer: 102*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p + 4*p)*(p - 1 - p - 2*p**3).\nAnswer: -6*p**4 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - m - 19009 = 0, -48905 + 10880 = -4*x - 5*m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Let x = j + -3. Let l = 0.086524 - 0.056524. What is the nearest to -0.1 in 1, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2. Let f(s) = -1166*s**2. What is f(w(b))?\nAnswer: -4664*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) + (-16)\/64. Which is the second smallest value? (a) -6 (b) z (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x - 123. Let z = x - -96. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 46*t - 43*t - 13731, 4*t - 3*s = 18308. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -725 = -4*m + 59. Suppose -131 = 3*i - d, 2*d + 2*d + m = -4*i. Let w = 43 + i. Which is the closest to 1? (a) -35 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -329 - -481. What is the first derivative of -d*j**2 + 152*j**2 + j**4 - 5 wrt j?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 5 + 2*(sqrt(3) + sqrt(3) + sqrt(27)))**2 - (((sqrt(3) - (sqrt(3) - 2*sqrt(3))) + sqrt(3))*3 + (sqrt(108)\/sqrt(4))\/sqrt(9)).\nAnswer: 130*sqrt(3) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u\/(u*(u\/(u*u**(2\/3)))\/u*u*u*u*u))*u)\/u)**(2\/3))**26*(((u\/(u*u\/(u*u*u\/u**2)))\/u)\/(u\/(u**(-8)\/u)))**(-35) assuming u is positive.\nAnswer: u**(4141\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-18))\/(-2)*-834. List the prime factors of 31\/(-62)*h\/(-2).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10898499553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/(-10))\/((-22)\/(-116)) and -43\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = 4*b + 40, -3*s = -5*b - 38. Let o = -2 - -5. Solve 0 = 5*r + j - 6, -r + 2 = -s*r - o*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as 14\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 33, -58, -2, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 583 + 589 = 0. Let r be -5 - (i\/4)\/((-25)\/(-350)). Let c = 4 + -3. Sort c, -8, r.\nAnswer: -8, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*a + 14*a + 450 = 0. Let p(b) = b**2. Let t(h) = 3*h**3 - 6*h**2 - h + 1. Give a*p(l) - t(l).\nAnswer: -3*l**3 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0277 + 0.031. What is g rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**4 + 151010*s**3 - 1358820*s**2 + 4076190*s - 4076055 = 0.\nAnswer: 3, 30193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4\/i**35)\/(i**(-18)*i)**(-24) assuming i is positive.\nAnswer: i**(-439)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4801203 a multiple of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-48)\/21 - (-6)\/21. Let o(x) = -5599999*x**2 + x - 2. Let q be o(i). Round q to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*o - 112*o**3 + 565*o + 4 - 5.\nAnswer: -112*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -11*i - 6. Suppose -96 = -3*b - b. Suppose b = -4*f - 20. Is j(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/135 - (-48)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 876 = 12*i + 264. Let s = -7 + 6. What is the remainder when i is divided by (s\/1)\/((-3)\/39)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -21. Put 2\/7, 3, r in ascending order.\nAnswer: 2\/7, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w + 8. Let q be p(3). What is the units digit of ((-18)\/(-9))\/(q\/(-90))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/4*6\/(-3). Suppose c*q = 5*l - 165, -4*l + 144 = -q - 0. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*b = -26, -2*n + 4 - 2 = 2*b. Suppose -28 = -n*a + 62. What is the smallest common multiple of 64\/8*(-3)\/(-2) and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**6\/120 + j**5\/20 + j**4\/6 - 5*j**3\/6 + 25*j**2. Let p be u(2). Which is smaller: 35\/6 or p?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 27*p**2 + 19*p - 183. What is l(-28)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/63*-6)\/((-2)\/1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -6.967. Let d = 0.467 + z. Let l = 42 - 41. What is the biggest value in 0.2, l, -1, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -42, -61, -98, -159, -250?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/425 and 95\/102 + (-450)\/(-540)?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 429 - 347. What is the remainder when t is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 4*k**5\/5 + 375*k**4 - 1508*k**3 + 2266*k**2 - 1512*k - 2162. Let i(n) = 0. Calculate n.\nAnswer: -378, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541267 a multiple of 859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 14\/10 - ((-5)\/30)\/(2480\/(-5712)).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.51187163901 - -0.5.\nAnswer: -0.01187163901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15929 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 - 118*o - 6. Let h(s) = s**2 - 61*s - 2. Give 5*h(z) - 2*x(z).\nAnswer: -z**2 - 69*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 82, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -78\/11? (a) -3\/4 (b) -3\/7 (c) -1.8 (d) -24 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.11, 2, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11201 (base 3) in base 11?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 9*c = l + 958, 3*c - 2878 = 5*l. List the prime factors of c.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 223*d**7\/42 - 3*d**4\/4 - d**3\/6 + 222*d. Find the third derivative of m(h) wrt h.\nAnswer: 13380*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 32\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (12 + -4)) + 5 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (42 - 15 - -23) + -39.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.161647478629+-1.4\nAnswer: -1.561647478629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*t + 7, -4*u + 5*t = -8*u - 1. Let g(l) = -3*l**3 + 7*l**2 - 1. Let n(c) = 18*c - 28*c**2 + 27*c**2 + c**3 - 18*c. Determine u*g(q) + 4*n(q).\nAnswer: q**3 + 3*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 24*i - 1 + 5 - 2 - 2.\nAnswer: -24*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 2 = 977*h - 976*h, 0 = 40*p - 37*p - h - 2*h + 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/280)\/(52\/32 + -2)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*h + 4*l - 118, -8 = -2*l. Let g be ((-2032)\/30)\/(2\/3). Let w = g + h. Put -0.5, w, 3 in descending order.\nAnswer: 3, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 5*n - 4. Let i be f(3). Let s(v) = -2*v + 1. Let d(u) = 6*u - 3. Suppose 14 = 3*g + 17, -6*j - g - 13 = 0. Determine i*s(y) + j*d(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**3 + 24*z**2 + 12*z - 5. What is j(-6)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 1284280.\nAnswer: 6421400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 786 divide 2031662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -65*f + 106 - 79 + 64*f. Let r(b) = b**2. Calculate r(s(g)).\nAnswer: g**2 - 54*g + 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199 + 395 - 521*q - 194 + (3 - q - 3)*(-3 + 0 + 5) to the form a + d*q and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*u**4\/9 + 2114*u**3\/9 - 9016*u**2\/9 + 760*u = 0.\nAnswer: -38, 0, 1, 90\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.02, 55, 0.4, -5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 16 = -8*f. Calculate the common denominator of -63\/16 and 0 - 7385\/(-1950) - f\/(-26).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 5494516?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 7*c + 71390 - 17270 = 0. What is the remainder when c is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1984.9421969?\nAnswer: 1983.9421969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 9, 398, 5, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 3. Suppose 4*p = -40 + 208. Let z = -41 + p. Put z, -0.4, q in increasing order.\nAnswer: -0.4, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 196261748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -22248.5 to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 3*x - 3. Let z be d(-3). Let o be (-868)\/z - (-4)\/6. Factor -o*c**2 + 15*c - 3.\nAnswer: -3*(5*c - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Let d(m) = 18*m. Let i(j) = 4*d(j) - 44*h(j). Let c(v) = 17*v**2. Determine i(c(n)).\nAnswer: -272*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3139 + 3164. What is the highest common factor of 1325 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129*l*w**2 + 6479*l*w - 40*w**2 - 27*w wrt w.\nAnswer: 258*l - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 331 - 297. Calculate the remainder when 713 is divided by i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 10 = -2*s, 0 = 4*s - 4*h + 1 + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssslsssssssslsssls. Give prob of picking 1 s and 3 l.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 12. Let w be b(7). Suppose -3*i + 16 = -p, 12 = w*i - 3*p - 16. What is the second derivative of 0*h - h - h**i - h wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 6, -248*p = -47*p - 0*t + 2*t - 406 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 + 6*i - 8. Let k(y) = -4*y**2 + 7*y - 9. What is 4*k(n) - 5*s(n)?\nAnswer: -n**2 - 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 62?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-2) + 0 + (-324)\/(-540) + (-33)\/5.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 69192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370799 and 734019.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5197.03 + 5197. Sort -1, b, 1, -0.5 in descending order.\nAnswer: 1, b, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = 3*i + 14, 5*i + 3*u = -17. Let r(v) = -7*v - 22. Let s be r(i). Solve 1 = 5*w + s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 50, -2, -3, -24 in increasing order.\nAnswer: -24, -3, -2, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 7. Let z(w) = -w - 4. Let c be z(v). Let i(o) = -7*o**3 - o. Determine i(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 79806.75mm?\nAnswer: 7980.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (21 + (13 - -28) + 17).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -341804, -341816, -341830, -341846, -341864, -341884, -341906?\n\"Answer: -c**2 - 9*c - 341794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 - -0.42. Let q = -173\/4 + 43. Let h(j) = -j**2 - 10*j - 12. Let g be h(-8). Which is the closest to 0? (a) g (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -12. Suppose c = 3*v - v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -442 - -842. Suppose -40*b + 45*b - r = 0. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 7*l - 54. Suppose l*n - 3335 = 2326. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06023145 rounded to 4 decimal places?\nAnswer: 0.0602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242581*u - 3326216*u - 7767103*u.\nAnswer: -10850738*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1186522 is divided by 40865?\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 153, 22, 4\/5, 93?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 3*g + 90 = 0. Suppose -v - g*n = -27, 3*n = -n - 8. Calculate the remainder when 121 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/54*(-9)\/(-15)*5.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/20)\/(1\/20). Let h(s) be the first derivative of -16*s + 28*s**2 - 8\/5*s**5 - 1 + c*s**3 - 7\/2*s**4. What is g in h(g) = 0?\nAnswer: -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = 3*s, -3*n - 3*s = -0 - 9. Suppose 40 = -h + n*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-14)*(57200\/195)\/88?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1881.494 + -1880. Round v to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(12)*-2) - sqrt(3))**2 - (sqrt(3) + sqrt(450)\/sqrt(6))) + 0.\nAnswer: -6*sqrt(3) + 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4712 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2120326 is divided by 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9 and (-5)\/50*-64*(-10)\/18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**4 - 2*p**4 - 4*p**4 - 400*p**4 + 400*p**4 - 177*p**4 + (-6 + 4 + 5)*(-p**4 + 4 - 4) as k*p**2 + g*p + z*p**4 + f + d*p**3 and give z.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 12, x: 7}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 715182?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5220 and 105444?\nAnswer: 527220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((-12 - (-9 + -1)) + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 364*t**3 - 141. Let p(g) = -1093*g**3 + 424. Let o(y) = -17*j(y) - 6*p(y). Find the first derivative of o(x) wrt x.\nAnswer: 1110*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -133353, -138861, -144369?\n\"Answer: -5508*w - 127845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 732720 by 122120.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:09 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 5:29 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/14 - ((-29700)\/385 - -77)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 7 = -21 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -768 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**3\/3 - 5*f**2 - 13*f + 6524. Calculate k(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26*(-2)\/(4*-1). Let d = g - -18. Let r = d - 18. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5\/3 (b) -0.2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 373914 - 235475. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 477?\nAnswer: -95.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjjjjjvjvjjjvjvjx. What is prob of sequence xvvj?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (15\/3*7)\/(528465\/70462)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 11:09 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/6)\/4*678\/1582?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 34) + (-6 - (8 + -4)) + 14?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = 5. Suppose -v*d = -19*d + 72. Find the first derivative of -d - 106*r**3 + 59*r**3 + 55*r**3 wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 42 = -4*b + 2*b, 0 = -b + 1. Let z = o + 17. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/8898 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 70*c**2 - 8*c - 18. Let j be u(4). What is j rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 18*u**2 + u + 1. Suppose -z = -x + 8 + 48, z + 224 = 4*x. Let i = 55 - x. Determine l(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -4) + (-37)\/((-2)\/2). Suppose 24 = 4*c - m. Find the second derivative of -5*o + c*o**4 - 7*o + 7*o wrt o.\nAnswer: 192*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89\/9 + -10. Let w = -23\/198 + a. Find the common denominator of w and -115\/294.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 + 100*a**2 - 184*a - 378. Determine j(48).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33338 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273234 is divided by 594.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 1, s: 1, l: 1, f: 1}. Give prob of sequence fef.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1178 and 682?\nAnswer: 12958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.1 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51570*m**3 + 51451*m**3 + 51574*m**3 - 206168*m**3 + 51575*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnthtbfm. What is prob of sequence tm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -57, -45, -19, 27, 99?\n\"Answer: g**3 + g**2 + 2*g - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 1003710.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/47909 and -11\/12204297?\nAnswer: 280698831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*u - 35 = 157*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 188*r. Let o be t(2). Let u = o - 141. Suppose 0*g - 5*g + u = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 4:46 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 838*z - 838*z + 1124*z**2.\nAnswer: 1124*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*r**3 - 972*r**3 + 620*r**3 - 2*r + 2*r.\nAnswer: -46*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4619523241.\nAnswer: 4619523241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12860 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 327451 - 327444 + 8*z - 2*z**3 - 3*z**2 + 19*z to n*z + x*z**2 + l + j*z**3 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/6 - 2464*p**2 + 6432985*p\/6 + 1074628 = 0.\nAnswer: -15207, -1, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434602 + 466480 = -322*z for z.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(-2*sqrt(162) + -1).\nAnswer: 1 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/8*(-1)\/(-2). Sort z, -0.1, -0.5.\nAnswer: -0.5, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*1*sqrt(13) - (1*sqrt(65))\/sqrt(5))*1.\nAnswer: -5 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c + 4 = 0. Suppose -130 = -3*j + 4*l, -l + 55 = 3*j - c*j. What is the highest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Let o = 7 - d. What is the third derivative of -2*s**2 - 4*s + 3*s**o + 4*s wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -8. Let p = -23 - 2. Let q = p - -23. Is q at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 0.70373.\nAnswer: 14.0746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.11 and -0.027082?\nAnswer: 0.137082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 4*r - 5*r)*(-5*r + 4*r - 31*r).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -568.1 + 568. Which is the nearest to -1? (a) -4 (b) 0.028 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101100111001100111001010 + 110?\nAnswer: 100101100111001100111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**47*g*g**(1\/43)*g assuming g is positive.\nAnswer: g**(2108\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 677 + -5?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3002 + -3162. What is the smallest value in -3, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.433 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l - 43424 = -84*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1336 = 3*q - 1220, -5*x - 30 = 0. What is the greatest common divisor of 318 and q?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.5 + -4.6. Which is the nearest to l? (a) -4 (b) -1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 - 38*w**2 - 100*w - 152. What are the prime factors of t(-24)?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 1. Let p(q) = -1. Let j(u) = -6*p(u) - z(u). Let c(a) = 4*a**2 + 1. Let b be c(1). Let g be j(b). Solve -k + g*k = -5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1526*s - 1531*s - 1532*s - 1532*s - 1531*s + 15 + 9182*s - 1535*s.\nAnswer: -5*s + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.714847m to centimeters.\nAnswer: 71.4847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3)*g*g*g**6)\/((g\/(g*g\/(g\/(g*g*g\/g**(-21))*g))*g)\/(g**(-1\/24)\/g)))**(-3\/2) assuming g is positive.\nAnswer: g**(-687\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/253 - (-9)\/161?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -776, -5042, -12146, -22088, -34868, -50486, -68942?\nAnswer: -90236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 times -0.73\nAnswer: -0.1241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -27\/2 (b) 2\/5 (c) 5 (d) -0.09 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/4)*h*h**2\/h)\/(h**0)**31*(h**(-1)\/h*h)**(-39)*(h**1*h)**(9\/4) assuming h is positive.\nAnswer: h**(189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 8 = -9*s, -4*m - 76 = s - 3*s for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 18 = -4*r, -25*m - 23*m - 27*m = -4*r - 103*m + 31*m + 30 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(26\/2)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*t - 0*t - 9, 4 = -4*t. Let i = d + -5. Suppose 2*w = 0, i*o - 10 = -0*o - 4*w. Let g(q) = 3*q - 4. Determine g(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 277 = n, 2*n + b - 184 = 325. Calculate the greatest common factor of 72 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5011139842?\nAnswer: 2, 2505569921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4321193?\nAnswer: 37, 116789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {e: 1, l: 3, w: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2379810.\nAnswer: 2, 3, 5, 23, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 38*i - 31. Let l be b(-17). Let t = -196 + l. What is the smallest common multiple of 6 and t?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2*c + 12 = -12, -2*i = -27*c + 62 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -3*p + 21, 165*p - 169*p = 3*m - 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3985.642 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 3 (b) -2\/11 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -7 (c) -2 (d) 0 (e) -70 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**3 + 0*h**3 + h**3 + (-h**2 + 2*h**2 - 2*h**2)*(-40*h + 33*h + 28*h) + (5*h**2 - 4*h**2 - 2*h**2)*(1436 - 29*h - 1436).\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -219, -227, -239, -255?\n\"Answer: -2*h**2 - 2*h - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 79236, 79238, 79240, 79242, 79244, 79246?\n\"Answer: 2*i + 79234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i + 24. Let o be (i\/10)\/(3\/(-60)). List the prime factors of 0\/(-3) + -1 + o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1487*x + 44*x**2 - 65*x**2 + 9*x**2 + 24*x**3 wrt x?\nAnswer: 144*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 23\/3*b**3 + 0*b**4 + 3*b + 0*b**5 + 0*b**2 + 9 + 1\/6*b**6 - 2\/21*b**7. What is the second derivative of w(q) wrt q?\nAnswer: -80*q**3 + 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 1:01 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/16 - 5\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*p**3 - 36 + 34*p - 7*p**2.\nAnswer: -(p - 2)**2*(p + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.77 and -11043.\nAnswer: 30589.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*f**2 - 72*f**2 - 124*f**2 - 2*f)*(-4*f**3 + 2*f**3 + 0*f**3).\nAnswer: 428*f**5 + 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*j + 1176 = -333*j + 143*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -25. Solve m*t + 2*y - 11 = 0, -4*t + 5*y - 11 = -0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1548 is divided by 194.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181\/340 - 9\/68. Factor -1\/5*w + 0 + 0*w**3 - 2\/5*w**2 + m*w**4 + 1\/5*w**5.\nAnswer: w*(w - 1)*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35.19 - -0.81. Let z = h + -40. Let s = -14 - -18. Which is the third biggest value? (a) s (b) 0.2 (c) -1\/4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 6. Let l be (18\/(-24))\/(d\/16). Solve l*i - i = 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*j**3\/4 + 387*j**2\/4 - 39*j\/2.\nAnswer: 3*j*(j + 26)*(5*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(1100))**2 - ((sqrt(1100) - (4 + sqrt(1100) + 3)) + sqrt(1100)).\nAnswer: -10*sqrt(11) + 9904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 50.022 (b) 2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = -4. Let r be 1\/s*56\/(-2). Let h(x) = -r - x + 14. Let c(k) = 5*k. Determine c(h(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884548 is divided by 201.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a - 71. Let i be k(-8). Let m(h) = 3*h + 17. Give m(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19118, -19376, -19634, -19892, -20150?\nAnswer: -20408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*p = -290, 4*p - 3*p = 2*h + 120. Let t = -42 - h. Suppose -4*v = v + t. Which is the nearest to 0? (a) 0.1 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/6 + 8)*-2*-17\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23737296 by -196176.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 + -138. Solve -z*g = -9*g + 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 + -2.9. Let h = 31.7 + -32. Let t be (-2)\/(-4) + (-22)\/60. What is the closest to h in t, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Let t be 0 + 0 + b + -1. Suppose -t = -4*i + 79. What is the greatest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 471 = 309 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -25*y**4 + 8*y**2 - 9. Let n(a) = -24*a**4 + 7*a**2 - 8. Let h(w) = -6*j(w) + 7*n(w). Find the third derivative of h(q) wrt q.\nAnswer: -432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, 4 in decreasing order.\nAnswer: 7, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 = -3*b, 29 = a - 5*b + 4. Let k = a - 0. Let l be (-1)\/(-1)*(-5 + k). Is l < 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 210*d**2 - 379*d**2 - 3*d + 548*d**2.\nAnswer: -41*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4\/159, 3\/2, -2, 4?\nAnswer: -4\/159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 8 = j. Let l be 92\/j + (-16)\/(-72). Let b(o) = o**3 + 5*o**2 + 5*o - 5. Let r(t) = -t**2 - t + 1. Calculate l*r(y) - 2*b(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -1113355, 1.4 in increasing order.\nAnswer: -1113355, 0.04, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r + 6. Let z(k) = 3*k**2 - 5*k + 2. What is the units digit of z(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence issx when four letters picked without replacement from {s: 13, i: 5, x: 2}.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + (0 - -2) - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41810205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 683.9 + -684. Let c = -3.91 - 0.09. What is the third smallest value in g, 0.6, c?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**10\/4480 + o**9\/6720 - o**8\/1792 + o**7\/3360 + o**4\/12 - 15*o. Let s(j) be the third derivative of l(j). Factor s(f).\nAnswer: 3*f**2*(f + 1)*(3*f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -1. Let a = 14 + -4. Solve -h*c + 4 + 12 = 0, -3*g - c = -a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2 = 3*z, 5*z + 11 = s - 0*z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 7597\nAnswer: 37985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c**3 - 4*c**2 + 3*c + 3. Let q(g) = -4 + 4*g**3 - 2*g + 0*g + 2 + 3*g**2. Let s(i) = 3*q(i) + 2*r(i). Find the third derivative of s(n) wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -155 - -2754a?\nAnswer: 273b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -102301432?\nAnswer: 102301440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -3*k + 4*s, 2*k + 5*s - 126 = -2*k. Suppose 61 = -3*q + 538. What is the remainder when (-11)\/(q\/(-39) + 4) is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plpm when four letters picked without replacement from {q: 1, l: 2, p: 2, m: 1, u: 1, v: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2 + 4*d + 11. Let t(p) = -11*p**2 - 75*p - 2. Let x(g) = 21*g**2 + 137*g + 2. Let s(w) = 11*t(w) + 6*x(w). What is 3*b(u) + 4*s(u)?\nAnswer: 5*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 281791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -o + 6*o - 15, -4*t - 2*o - 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -23 + 2\/3*a**3 - 4*a - 134*a**2 - 2\/3*a**4. Differentiate c(y) wrt y.\nAnswer: -16*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q - 12. Is s(-9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 25449.832677201?\nAnswer: 25449.532677201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25459015986 and 40.73.\nAnswer: 25459016026.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdw. What is prob of sequence kd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1850106 and 20.\nAnswer: 18501060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-4))\/3)\/((-27)\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -66 and 9468075529.\nAnswer: 9468075463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*q. Let a(l) be the first derivative of -1 + 0*l - 1\/2*l**2 + 0*l**3 - 2\/5*l**5 + q*l**4. What is the second derivative of a(h) wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 37*x**2 + 5*x. Let t be y(3). Suppose t - 93 = 5*m. Let l = 51 - m. Solve -5*k - 4*z - 12 = l, 0 = -5*k - 2*z + 3 - 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 663 + -91. What is the highest common factor of 104 and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101204 - 2115?\nAnswer: -103323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 22051?\nAnswer: -22051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*m - 15*m + 82*m - 36*m to the form p + c*m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -19*q**3 + 9*q + 9. Let y(b) = 5*b**3 - 2*b - 2. Calculate -2*g(u) - 9*y(u).\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 373, 742, 1111, 1480?\n\"Answer: 369*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-78)\/65)\/(1\/((-5)\/2)). Suppose -3*d + 324 - 42 = -g*u, -2*d = u - 173. List the prime factors of d.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 = -4*j. Suppose -n + u + 1029 = j, n + 3*u - u - 1023 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21212 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -412, -414, -416?\n\"Answer: -2*b - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n - 35832*n**2 - 35875*n**2 + 71700*n**2. Let d(j) = j**3 - j**2 - j + 6. Let s be d(0). Let b(q) = -3*q + s*q - 3*q - q**2. Determine g(b(f)).\nAnswer: -7*f**4 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39, -106, -493, -1242, -2473, -4306?\n\"Answer: -20*y**3 - y**2 - 2*y + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/23 + 14*r**3\/23 + 4*r**2\/23 - 80*r\/23.\nAnswer: 2*r*(r - 2)*(r + 4)*(r + 5)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38288880 a multiple of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -146412 (base 7) in base 2?\nAnswer: -111000000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188460 = -3857*k + 5602*k for k.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 22. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7827 (base 9) in base 3?\nAnswer: -21220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 6. Is 9 a factor of p\/14 - (-368)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0166 - 2.9934. Let v = 0.01 + f. What is the nearest to v in -1\/5, 2\/13, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145074 + 145069.00023. Let s = 4.9 + 0.1. Let f = x + s. What is f rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -i + 2*i. Suppose -i*q + 7*q = 5. Suppose -3*b + q = -1. Solve b*w + 15 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358597, 717197, 1075797, 1434397, 1792997?\nAnswer: 2151597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260792514?\nAnswer: 2, 3, 71, 251, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by -15\nAnswer: 88\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6284772 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -3 - 3 - -13 - 3 - -285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 8*t**2 - 13. Calculate k(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26 + f - 7*f - 7*f + 2*f wrt f.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**2 - 13*l + 7. Let x be p(7). What is the highest common factor of x and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 + 2*i**2 - 2*i**2 + (-3*i**2 - 5*i**2 - 2*i**2)*(-2 + 2 - 4) in the form s*i + j + c*i**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (18 + -5 + -40 + 16)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.338638 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 100 + 99 + m + 6*m**2. Let a be l(1). Does 21 divide 0 + (124\/a - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276 and (5\/2)\/(((-12)\/(-128))\/(504\/480)).\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28170.\nAnswer: 2, 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264 - -284. Suppose -2174 - 1166 = -t*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7467 (base 12) to base 8\nAnswer: -30717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 2 = -3*y - 2*c, -4*y - 3*c + 9 = 0. Let u be (2351\/(-3))\/(y\/(-36)). Suppose o - g + 5*g + u = 0, -g = 4*o + 37601. Round o to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-6)\/t)**(3\/26))**(2\/43))**37 assuming t is positive.\nAnswer: t**(-777\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 3*u + 4. Let y be l(3). Let d(r) = 76261 - 53*r + r**2 + 49*r - 76266. Calculate d(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61.9 + -54. Let t = -8 + z. Is -3 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/21 and -97\/492.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 7*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 22 + 2*d**2 - d**2 + 12 - 9*d. Determine s(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169409 + -0.3?\nAnswer: 169408.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 24*t. Let s(f) = -707047*f**2 - 3. What is w(s(b))?\nAnswer: -16969128*b**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10189037, -10189088, -10189139, -10189190, -10189241?\nAnswer: -10189292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 31 + 14. Suppose 0 = -r*z + 422 + 73. Which is the closest to z? (a) 1 (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (295428\/(-21102))\/(7*27).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499560389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.17 - -24. Let x = 1.16 + -0.66. Put 2\/9, d, x, -0.2 in descending order.\nAnswer: x, 2\/9, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a decade in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.2 (b) -13 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 85 - 5 = 0. Find the third derivative of 852*i**4 + 3*i + 35*i**5 - j*i**2 - 852*i**4 wrt i.\nAnswer: 2100*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-36) - (-11)\/2. Is ((-39)\/26)\/(b\/(-332)) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 + 0 + (-4 - 20 - -32).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 87 = 38*p. Sort p, 0.5, 0.23, 1\/4 in descending order.\nAnswer: 0.5, 1\/4, 0.23, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2298 - 77702 = 0. What is p rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*b + 4*h, -3*h - 47 + 45 = 2*b. Let p be 49\/((-3 + 4)\/b). What is the highest common factor of p and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*i + i + 7*i - 21*i to k + q*i and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -39. What is the remainder when 278 is divided by r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b - 1. Let m = 3 - 2. Let s(a) = 9*a**3 - 15*a**2 - 27*a + 15. Let h(u) = m*s(u) + 18*v(u). Let h(n) = 0. Calculate n.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4882601, 19530419, 43943439, 78121655, 122065061, 175773651, 239247419, 312486359?\nAnswer: 395490465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-10) - 1577\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s**4 - 1241*s**2 - 3332?\nAnswer: 8*s**3 - 2482*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42284037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express -38*l - l**2 - 3447 + 3447 as c*l**2 + f + v*l and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 + 376880300.8\nAnswer: 376880301.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u = 4*z + 6, -5*u + 3*z = -24. Suppose -2*f - 6 = 0, -u*j + 0*f - f = 0. Solve r - j = -0*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 543218 and 53769710.\nAnswer: 54312928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1359330 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469 + 1558 = 11*h. What is the least common multiple of 171 and h?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b + 70. Let g be (-30)\/b - 25\/(-7). Suppose g*i - 6*i = -28. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s\/((s**(-4)*s)\/s)*((s*s\/s**1)\/s)**(-20))**32 assuming s is positive.\nAnswer: s**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/6 in 2, -0.5, 0.2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + -126 - (-21 + -55).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2 + 7, -11117 = -4*n - 3*r. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 27077429.6363?\nAnswer: -27077429.6263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 3. Let m be d(-9). Let n = -4 - m. What is the remainder when 4 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -879 = -2*w - 869. Which is the smallest value? (a) w (b) 4 (c) -0.3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(76)*-1 + sqrt(76) + sqrt(76) + 2*sqrt(76) + sqrt(76) + 4 - ((0 + sqrt(76))**2 + -2)*3)*-5.\nAnswer: -40*sqrt(19) + 1090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 5:58 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4120 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6*(2\/5)\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5, -1 in descending order.\nAnswer: 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 64 = 2*z, -7*z - 67 = -2*m - 6*z. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcz when three letters picked without replacement from {j: 4, d: 1, r: 1, c: 1, z: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by (-3)\/(((-27)\/(-87))\/(-3))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-90))\/((-2)\/7*3521\/1509)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.8 + 19.98. Let b = -0.18 + m. What is the biggest value in b, 0.5, -4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 6:44 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 1 - (880 + -886).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-16)\/(-10))\/((-16)\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1128, 1164, 1200?\n\"Answer: 36*d + 1092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -57773, -115538, -173303, -231068?\n\"Answer: -57765*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5.8 (b) 0.4 (c) -5 (d) -72.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*(5\/2 - 3))\/((-1)\/2). Put 36, -2, -4, j in descending order.\nAnswer: 36, j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*120\/(-225)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1209, -1190, -1169, -1146, -1121?\n\"Answer: s**2 + 16*s - 1226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.79 + -0.09. Let v = -1.1 - -0.6. Let n = v + b. What is the second biggest value in -2\/3, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 120*m + 6 = -118*m, -2*s + 3*m - 9 = 0. Let y be (2\/5)\/(1\/170). Suppose -5*q = 23 - y. Solve -2*h + 2*z + 18 - 4 = s, 0 = 3*z + q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 58, 96, 170, 292?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 800 - 1905. Let c = f + 1104.999999491. What is c rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.57459 kilograms in nanograms?\nAnswer: 68574590000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 9:35 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 3448820*w - 3448820*w. Let d(q) be the first derivative of -q**6\/60 - 2*q**3\/3 - 1. Let i(o) be the third derivative of d(o). Give i(g(k)).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 2*g**2 + 10*g**2 - 10*g - 6*g**2 - 3*g.\nAnswer: 2*g**2 - 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75718, -75717, -75714, -75709, -75702, -75693, -75682?\nAnswer: -75669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 15\/2*i**2 + 6 + 5\/3*i**3 + 0*i. Suppose q(r) = 0. What is r?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189) + -1*1*sqrt(189))\/((sqrt(15)*-1)\/sqrt(5)))\/((-2*sqrt(6480) - sqrt(6480))\/(sqrt(20)\/sqrt(4)*1)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*q - 27 = 0, -5*q + 19629 = -5*b + 19659. Suppose -5*j + 51 = -9. Solve 0*l = b*l + j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 18. Let t(f) = f**2 + 2*f + 1. What are the prime factors of t(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -37. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 51cc?\nAnswer: -51c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/16 and 39\/368.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3.4, 0, 1, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-19)\/f)**9\/(f**(5\/14)*f\/(f**3*f)) assuming f is positive.\nAnswer: f**(-2483\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -105150 rounded to the nearest 1000?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*s = 5823 + 573 - 6 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5.01 * -40.63\nAnswer: -203.5563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 0, 8, -15 in decreasing order.\nAnswer: 8, 1, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45631 + 183368. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 1 u when three letters picked without replacement from ttfuxff.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4680137 + 244\nAnswer: 4680381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 85857 + 85862 = 0, 0 = 60*b + 3*r - 837 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x + 84*x = 141. Let b(r) be the second derivative of 0*r**x + 8*r + 19\/12*r**4 + 0 + 1\/4*r**5 + 0*r**2. Find the third derivative of b(c) wrt c.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1591915703?\nAnswer: 7, 19, 331, 36161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6960579853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66348824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 18. Let w be v(8). Suppose -44 = -5*g - 29. Let j be (-465)\/(-150) + g\/w. Which is smaller: j or 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 12310.\nAnswer: -12309.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139 or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tetrfetetrftr. Give prob of picking 2 f and 1 e.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -808a9 (base 12) to base 15\nAnswer: -347e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -0*t + 4*t. Let v = t - 9. Suppose 2*p + p = v. Calculate the greatest common divisor of p and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2) + sqrt(72)) + ((sqrt(98) + 4)**2 - sqrt(2)).\nAnswer: 41*sqrt(2) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43, -21, 17, 71, 141?\n\"Answer: 8*u**2 - 2*u - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07607 and 3349?\nAnswer: 3349.07607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 5*n - 11, y + 871*n = 870*n - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + g**3 + 0*g**3)*(-7 + 25 + 9)*(-321*g**2 - g + g).\nAnswer: -17334*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 - 5*q**5 + q**3 + 892*q**2 - 901*q**2 - q**3 wrt q.\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/31)\/(z*(z\/(z*z\/((z*z**19)\/z))*z)\/z))\/(z**(-19)*z\/z**(-6)) assuming z is positive.\nAnswer: z**(-215\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-39)*29*(-192)\/111360.\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 5*r**2 - 4*r + 2. Let z(i) = i**2 - 6*i - 3. Let g be z(7). Let n be w(g). What is the closest to 0.2 in n, -1\/5, 4\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*g + 22, -2*g - 27 = -6*m + m. Suppose 0 = -m*p + 25773 - 5803. Let x = p - 2284. What is x rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2548, -2552, -2566, -2596, -2648, -2728?\n\"Answer: -j**3 + j**2 - 2548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**4\/4 - 4*r**3\/3 - 2*r**2 - 4*r - 53. Let a(s) = s**3 - 26*s**2 + s - 30. Let l = 33 - 7. Let v be a(l). What is p(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-35)\/(-15) + -2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuuuxxxuuuuxrrdxuuxu. What is prob of picking 2 u?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31, 28, 25?\n\"Answer: -3*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y - 11*y - 16*y)*(4*y - 2*y - y)*(-11 - 9 - 7).\nAnswer: 972*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.628889 to 3 dps.\nAnswer: -1.629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 2)*(-2*h + 0 + 0) + 19*h + 17*h - 18*h as w + n*h and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3534 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 25*c - 62. Give h(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n - 14. Let t be (22 - (13 + -2)) + -4. What is the greatest common factor of n and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.21 + 2.51. What is the fourth smallest value in -2\/9, t, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 31 + 28*d - 53*d - 109 + 10*d. Is j(-16) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) -6 (b) -0.1 (c) 1.1 (d) 2 (e) -0.0237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002329998 rounded to 5 dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -92)\/(75\/(-8)) - (1734\/(-51) + 24)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d25 (base 16) to base 14.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 96 = t. Solve t*l - 78 + 93 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-1 - 19 - -33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2941 + 1317 = 2*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-2) + (0 - (5 + -2)). Let z(a) = -a**2 + 4*a + 5. Give z(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - n + 2. Suppose 54 - 51 = g. Solve 0 = 4*r + n + g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 4) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 - 2.32. Let r = v + 1.8. Let n = 1 + -2. Which is the third smallest value? (a) n (b) 2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 729794 = 2*h + 3*o, -3*h - 5*o = h - 1459590. What is h rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 21 = -9. What is the tens digit of (-24)\/((156\/(-80))\/(-13))*c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6952 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 30 - 110 = 0. Solve s*c + 9 = -31 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.763, 0.06, 3\/4?\nAnswer: -0.763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.508796 months to centuries.\nAnswer: 0.01625733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.3. Let i = 7 + -9. What is the nearest to f in -0.5, 5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15726*u + 112 = -15740*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8487043 millilitres in litres?\nAnswer: 0.0008487043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468 divided by 6.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (14 - (-132 + 133 - (5 + 0))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4 - ((-522880)\/86)\/(-160).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157495 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: Suppose 7*h - 48 = 4*h. Let x = 12 + 2. What is the smallest common multiple of x and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -28. Let z(g) = g**2 + 10*g + 17. Let c be z(-12). Calculate the common denominator of -43\/27 and (-3 + (-3 - c))\/t.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - -3) + -7 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0 - 1\/120*n**6 + 1\/8*n**4 + 0*n - 4\/3*n**3 - 2\/15*n**5 - 2*n**2. Find the common denominator of 107\/6 and c(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 4*h**6\/15 + 7*h**4\/12 + 67*h**2 + 81*h. What is the derivative of w(k) wrt k?\nAnswer: 32*k**3 + 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79297679941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6475, -4, -3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -574, -1150, -1726, -2302, -2878?\n\"Answer: -576*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489 + 186213 = -2948*g for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(931)*-2 + sqrt(931) + -1)*-2*2*-4)**2*4.\nAnswer: 516096*sqrt(19) + 34357248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 11, 1, -12, 4 in ascending order.\nAnswer: -12, -2, -1, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.542*0.5.\nAnswer: -0.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/5*(-42545)\/508. What is the highest common factor of o and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7\/9))**(-3\/29)*t**(-6)*t\/(t\/t**(-9)) assuming t is positive.\nAnswer: t**(-1298\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6160432 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 4:44 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378001 is divided by 125998.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 28*b + 40. Determine q(29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 2*r - 3*r)*(3 + 1 + 0) + 9 - 9 + 3*r in the form p*r + x and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13 + -13)\/(0 - -1). Suppose -4*o = -t*o + 44000. Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 2. Suppose -b - 2*b = 0. Let g be f(b). Suppose -3*n - 11 = n - 5*j, -3*j + 4 = -5*n. Solve h - g = -n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/2)\/(x**6\/x*x)*x**(2\/19)*x**(-3\/4) assuming x is positive.\nAnswer: x**(-619\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.8 (b) -3\/4 (c) -0.1 (d) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 115*o - 28 = 111*o, 20 = 4*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**6\/120 - z**5\/60 - z**4\/6 - 2*z**3\/3 + 9*z**2. Let y be v(-2). Suppose -13*h + 75 = -y*h. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + 16. Let q = -74 - -1. Let u = w - q. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/4)\/(17563\/102676)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -16*s + 1. Suppose -14*z + 22 = -104. Let k(m) = -64*m + 5. Determine z*v(b) - 2*k(b).\nAnswer: -16*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 3. Let t(q) = -6*q + 15. Let k(w) = -5*n(w) - t(w). Let p(c) = -2*c - 10*c**2 + 2*c. Determine k(p(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14670*z**5 - z**3 - 119*z**2 - 273*z wrt z.\nAnswer: 880200*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -46, -51, -56, -61?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 5. Suppose 0 = i + 3*i - 16. Let o(k) be the second derivative of -k**3\/6 - k**2 - 10209*k. Determine i*t(m) - 10*o(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -25*q - 319. Calculate the remainder when b(-47) is divided by 72.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 - 77. Which is the third biggest value? (a) 6\/5 (b) 4 (c) -1\/3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55464 (base 10) to base 2\nAnswer: 1101100010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003998949 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 238734 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 q, and 1 j when three letters picked without replacement from {n: 1, j: 2, q: 1, e: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35300016?\nAnswer: 2, 3, 41, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.20834559\nAnswer: 0.104172795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6247*w**2 + 0 - 6253*w**2.\nAnswer: -6*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 9:48 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3\/5, -0.4, -4\/7, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (13 - (5 - (5 - 0))) - (2 + -3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4191 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -8 - 0. Calculate the remainder when 2 - -7*(-2 + n) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = 3*j + 108, x + x = 3*j - 3*x - 72 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20936 by -21.\nAnswer: 20936\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*520\/1664 + 702\/8.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.063 - 0.023. Which is bigger: 0.3 or c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3573 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/2 + 1060*k**2 - 16911*k\/2 + 15840 = 0. What is k?\nAnswer: 3, 5, 2112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (5 - 0) - 0. Let l be ((-1)\/(-2))\/(0 - 2\/304). Let w = l + 98. Solve -z + 29 = -5*h, -h = n*z - w + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, 2, -5 in descending order.\nAnswer: 12, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**2 - 139*z - 496. What is q(-23)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 309266?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 - 1 + 1 + (-3 + 4 + 0)*(0*c**2 - c**2 + 2*c**2) + (37098 + 75*c**2 - 37098)*(0 - 1 + 2).\nAnswer: 74*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b + 4. Let u be -8*(4 - 1 - 4). Let a(k) = -6 - u*k - k**2 - 4*k + 18*k + 1. Let o be a(4). What is r(o)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20392.\nAnswer: 2, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 793 + 1565 - 772.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 3:39 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41*y**2 + 0*y**3 + 0*y**3 - 7203 + 3*y**3 + 4509*y + 332*y**2 + 2400*y.\nAnswer: 3*(y - 1)*(y + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/872 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 417*p - 622. Calculate d(-210).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2570029?\nAnswer: 7, 11, 33377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/5 - 5948*i\/5 - 11888\/5 = 0.\nAnswer: -2972, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -26. Let y = x + 6. Let n be (-1)\/y + (-50)\/(-16) + 3. Solve 0 = -5*g - n - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 8*t**2 + 10*t - 3. Let u be a(-7). Let h be -1*6\/8*u. Let n = h + 19. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*4*(1 + sqrt(288) + sqrt(288)) - (2 + ((2 + sqrt(288) - sqrt(288)) + sqrt(288))*-4*1))**2.\nAnswer: 6720*sqrt(2) + 225892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/12 - ((-3115)\/75 - (2 - 136\/80))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -0.47, -1, 41 in decreasing order.\nAnswer: 41, -1\/5, -0.47, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1366\/3 - 455. Sort 0.3, 4, -0.4, q in ascending order.\nAnswer: -0.4, 0.3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2383885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let t(s) = -2*s + 2*s**2 + 6*s - s**3 - g + 1. Suppose -991*n - 2*v = -992*n - 15, -5*n = -2*v + 3. Calculate t(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(12\/(-20)))\/(-1). Let h(g) be the second derivative of -g**4\/12 + g**3\/2 + 4*g**2 - 610*g. Let w(u) = -u**2 + 2*u + 7. What is d*h(y) - 6*w(y)?\nAnswer: y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -327 or 1?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + 0*s)*((3 + 3 + 0)*(-3*s + 5*s - 4*s) + 0*s - s - s).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -53*w**2. Let c(d) = -12*d**2. What is c(q(j))?\nAnswer: -33708*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -161*q + 280*q + 5*q**2 - 119*q. Let j(r) = -3*r**2 + 9. Give j(s(p)).\nAnswer: -75*p**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-384 - 117 + 115)*(7*u - 3*u - u)*(-2 + 2 + 3*u).\nAnswer: -3474*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2 + 84*k - 882 = 0. What is k?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -16*f - 5. Let k(t) = -8*t - 3. Let c(n) = -5*k(n) + 3*y(n). Let w(v) = v**2. Calculate c(w(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18072500 is divided by 274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbblbbnblbnbnbnbn. Give prob of picking 2 n and 1 b.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4 - 10. Suppose -q = -5*s + 6. Suppose 4*o = -5*l - o + 715, 3*o = s*l - 586. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1059 - 244 - 352*j - 365 wrt j?\nAnswer: -352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quqmqqqaaaaa. What is prob of picking 2 q and 1 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 1:27 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5 = -o, -5*j + 3 - 1 = -3*o. Suppose -j + 11 = -2*x. Are -4 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 6:47 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2860, 3012, 3264, 3616, 4068?\nAnswer: 4620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 + 1. Let b be 2\/9 - (-328)\/(-18). Let z(m) = -8*m**2 + 12*m + 3. Let k be z(-1). Let w = b - k. Determine v(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 292, 290, 286, 280, 272, 262?\n\"Answer: -q**2 + q + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-1)\/(-1)))\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 10 = 40. Suppose -y - 2*c = -1, 0 = -0*y - y + 2*c + 5. What is the third derivative of d**a - y*d**6 + 5*d**2 - 7*d**2 wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n - 265. Suppose -2*p - 4*k = 0, -p = 2*k - 4*k. Let j be s(p). List the prime factors of ((-9)\/15)\/(1\/j).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224 and 448?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2\/5 + 32*j\/5 - 22 = 0. Calculate j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 6:11 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(208)*4 + sqrt(208) - sqrt(208)))**2.\nAnswer: 64*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 2\/5 (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/183 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42\/27 + 5360\/720\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 22 = 2*g - 0*c, 18 = 3*g - c. Suppose -g*d + 21 = 1. Factor -d*i**3 - 5\/3*i**4 - 3*i**2 - 2\/3*i + 0.\nAnswer: -i*(i + 1)**2*(5*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38908 divided by 358.\nAnswer: 19454\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12 - 0.767.\nAnswer: -0.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/(-8)*2*-1. Calculate the greatest common factor of 209 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338008*m - 337761*m - 37800 + 37800.\nAnswer: 247*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33, 6, -31, -84, -159?\n\"Answer: -v**3 + v**2 - 23*v + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8502398*w - 11603288 wrt w?\nAnswer: 8502398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqxkakzazzakkkkkkaaa. What is prob of sequence xq?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1615 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 4*t**3\/3 - 17*t + 41. Let y(m) be the first derivative of o(m). Let r(i) = 14*i**2. Calculate y(r(v)).\nAnswer: 112*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*c + 5 + 1, c + 4*k - 12 = 0. Suppose -3*b - j - 4*j = -11, 2*b - 6 = -2*j. Let g + c + 3\/2*g**b = 0. Calculate g.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i\/(i\/(i\/(i*i**13)))))\/i))\/(i*i\/((i**14*i*i)\/i)*i))**47*(i**(-1\/2)*i)**(-1\/15)\/(i**(-1)\/i)**(-1\/17) assuming i is positive.\nAnswer: i**(-77\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/31? (a) 556 (b) 3 (c) 4\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59115*b**2 + 25*b - 310780 wrt b.\nAnswer: -118230*b + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23701978 divided by -2822?\nAnswer: -8399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4261106521?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13766177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27*(-13)\/351)\/(123\/(-363)) + 3.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s + 9 = 3*q, 0 = -3*s. Suppose -5*h = 5*d + 10, q*d + 2*h - 1 = 6*h. What are the prime factors of (5\/(-2))\/(d\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112687235, 225374467, 338061699?\nAnswer: 450748931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/13 + 8\/52. What is the tens digit of o*24 - 12\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -4*j**6\/15 + 7*j**4\/12 + 9*j. Find the third derivative of b(v) wrt v.\nAnswer: -192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*b + 161*b - 314*b - 17160 = 0. What is the greatest common factor of 1155 and b?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11169 = -4065*u + 82326 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68597, -137203, -205811, -274421, -343033, -411647, -480263?\nAnswer: -548881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/11496 and 181\/240.\nAnswer: 114960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991034233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.7234361578 take away -0.4?\nAnswer: -23.3234361578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**10*g)*g)\/g**(4\/11))**(-8\/5)\/((g**3*g)\/g**(1\/2))**(3\/28) assuming g is positive.\nAnswer: g**(6427\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8765645 divided by -10889\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*h + 38 + 72, -c = 4*h - 10. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -89*n + 616. Calculate g(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from orougxwrowgg?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 9 - 25)*(-1 + 1 + 1)*(1 + 0 - 2)*(0 + 0 + f)*(f - 2*f + 0*f).\nAnswer: -34*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -957864 divided by 3\nAnswer: -319288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 928 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 9:20 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*o**3 + 127*o**2 - 2526*o + 30715237 wrt o.\nAnswer: -105*o**2 + 254*o - 2526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10)\/(-4 - 46\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -355354 (base 6) in base 3?\nAnswer: -1120120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-10))\/(12\/60). What is the greatest common divisor of a and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(42\/(-72))*1678\/6. What is the tens digit of 12\/(-20) + (h\/10 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943030 is divided by 71?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - 2)\/(-2) + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402 a factor of 47833428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 - -168. Let p(q) be the third derivative of -7\/12*q**4 + 0*q + 0 - q**2 - 1\/6*q**i. Calculate p(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(8 - 3 - 0 - 9). Factor 1\/8*t**3 + t - 5\/8*t**2 - y.\nAnswer: (t - 2)**2*(t - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbzs when four letters picked without replacement from {z: 10, s: 2, b: 6}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {c: 3, b: 3, d: 2, z: 4, w: 1, a: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**3 - 28*w**2 - 8*w + 22. Let m = 12708 + -12717. Determine i(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*x**2 - 3914*x**2 - 1849*x**2.\nAnswer: -5583*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -284, -307, -376, -515, -748, -1099, -1592?\n\"Answer: -4*x**3 + x**2 + 2*x - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 12*n + 8. Let u be t(6). Suppose -u*q + 15 = -7*q. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26895160 - 46162.13.\nAnswer: -26941322.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h = -242*h + 169 + 269 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 6*u - 2. Let v be r(-3). Let h = v + 18. Suppose -q + h*w = 2*w - 28, -5*q + 77 = -4*w. Calculate the highest common factor of 52 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*i - 3*a, -4 = 15*a - 19*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = 495. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 131*d + 55 = -126*d, 2*u - d = 19 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 783 - 780. Let y(z) = z**2 - 3*z - 6. Let w be y(5). Which is the closest to -1? (a) 5 (b) w (c) 2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**3 + 6*q**2 + 5*q + 6. Let k(r) = 5*r**3 + 7*r**2 + 6*r + 7. Let d be (405\/12)\/(-5) - (-6)\/8. Give d*k(m) + 7*h(m).\nAnswer: -2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 268864, 269653, 270442?\n\"Answer: 789*k + 268075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (-1 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 3a8eb7?\nAnswer: 3a8eb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/10118 and -13\/30?\nAnswer: 151770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fd + -5?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -125 + 21. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -0*z + 3*z + 107, 0 = 4*g + 3*z - 91. Suppose -4*c - 68 = 2*k, 2*c = -4*k + k - 42. Let r = c + 27. What is the remainder when g is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.98 - 4.52.\nAnswer: -3.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hshyclcm. Give prob of sequence slhh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 24626895*v**2 + 49253775*v - 24626885.\nAnswer: 5*(v - 4925377)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 32 and 35 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -4*j - 430. Suppose 51*m - 42 - 78 = 91*m. Sort m, j, -3\/4 in descending order.\nAnswer: -3\/4, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((8 + -4)\/(-84))\/(153\/1377). What is the third biggest value in c, -5, -1\/21, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(96\/8)*12\/(-4))\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5163.594t to nanograms.\nAnswer: 5163594000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 - 5*n + 370. Give i(13).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1357.9 - 1356.9. Which is the third smallest value? (a) y (b) 13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = w - 15, -i - 3 = 2*i - 5*w. Suppose -3*x - 46 = -i*h, -3*x - 16 = -2*h - 5*x. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3679045 and 0.125.\nAnswer: 3679045.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -331020023 (base 4) to base 15\nAnswer: -4e2be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -70, -166, -302, -478?\n\"Answer: -20*q**2 + 4*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 461, 920, 1379, 1838, 2297?\nAnswer: 2756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z. Let b(c) = c**3 - 4*c**2 + 2*c - 3. Let x be b(4). Let k(w) = 0*w**2 - x*w**2 + 3*w**2 + 0*w**2. Determine k(f(u)).\nAnswer: -162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001077 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 11:06 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297 and 231?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 30*a + 56*a - 24*a in the form f*a + u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4822672\/17 less than 283687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msmsttsmmhrmrhhthh. What is prob of sequence mmrh?\nAnswer: 5\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 7*j**2 + 9*j - 5. Let h be m(8). Suppose 0*l - 2*w = -l + 13, -19 = -h*l + 2*w. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52125158797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6862146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 67*a**2 - 9*a + 9. Let d(y) = 29*y**2 + y - 11. Let h(v) = -44*v**2 - v + 15. Let w(x) = 7*d(x) + 5*h(x). What is -9*w(t) - 2*z(t)?\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11641247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or 2088\/37?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*v - 9, v - u = 2 + 13. Let j = v + -7. Suppose -16 - 24 = -4*g. Solve z = 2*z + 3*x - g, 2 = -j*z - 2*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/45, -5, 0.3, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*p + 161 = 147, -16 = -3*l + p. Solve -64 = -l*h - 94 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 67 = 11*l - 12*l, 5*l = -2*r + 326. Calculate the highest common divisor of l and 1856.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 - (-34 - -12)) + (11 + -1)\/2. Solve 31 = -p*r - 39 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (209*28\/(-616))\/((-1)\/(-2))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 17, s: 2}. What is prob of picking 3 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(77) - sqrt(77))*-5 - sqrt(77))\/(sqrt(22)\/(sqrt(2) + sqrt(2)*3 - sqrt(2))))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 6*f - 12. What is c(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -87, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9732153 to the nearest integer?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/10 + 38\/(-19). Let g = 58\/5 - 11. Which is the closest to -2? (a) 1 (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*s + 6 - 6 + (-2 + 2 + s)*(1 + 3 - 6))*(-5 - 7 + 10).\nAnswer: 34*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 233012232 (base 4) in base 9?\nAnswer: 323600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**2 - 1003. Let r(p) = -360*p**2. Give i(r(n)).\nAnswer: -720*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 110848, 110850, 110852?\n\"Answer: 2*b + 110846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/56 + (-3)\/(-20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -0.8. Suppose 4*h = 3*h + 2. Let p be 3*h\/30*2. Which is the nearest to p? (a) l (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6152663 a multiple of 1132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + g - 4*g**2 - 5 - 2*g + 0*g + 4*g. Suppose -3*t + 7 = -5. Determine u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8753.\nAnswer: 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 5544825 and -2\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 42, 82, 166, 312, 538, 862?\nAnswer: 1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. Suppose a*r - 3 = -r. Suppose r*x - 3 + 6 = 0. Put -4, x, -5 in increasing order.\nAnswer: -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 16) in base 2?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -2*q**4\/3 - 6*q**2 - 670*q. Let m(b) = -b**2 - 1. Calculate -60*m(p) + 5*x(p).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**6\/30 - 17*l**5\/60 - 7*l**4\/24 + 11*l**3\/6 + 2962*l**2. Let h(f) = 2*f**3 - 8*f**2 - 3*f + 5. What is -7*h(w) + 3*p(w)?\nAnswer: -2*w**3 + 5*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48653, -97304, -145955, -194606, -243257?\n\"Answer: -48651*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*h**4 - 6*h**2 + 1249*h.\nAnswer: 444*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27493108?\nAnswer: 2, 6873277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 4*n**2 + 2*n + 1. Let s = -13 + 15. Let c be s - 4\/4 - 14. Let u = c + 15. Calculate y(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19703751 to the nearest integer?\nAnswer: 4439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3665 + -14675?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 205 + -76. What are the prime factors of t?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14428 + 41?\nAnswer: 14470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, and 1 g when three letters picked without replacement from ngnqaqaaqnqqgqq?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 437665*i**2. Let m(z) = 25*z**2. Calculate m(f(n)).\nAnswer: 4788766305625*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8257.\nAnswer: 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0 - 1\/12*j**4 - 51\/2*j**2 + 31*j - 23\/6*j**3. Calculate the least common multiple of f(-20) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.7 (c) 535 (d) -5 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -436, -486, -570, -688?\n\"Answer: -17*y**2 + y - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 47.9, -4.9, 1, 5, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 65*z + 70.\nAnswer: -5*(z - 1)*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 + 73. Let a be 4\/c*1 + 26\/3. Suppose -3*t = -8 + a. Solve t = -2*b - 5*v - 22, 2*b - 6 = 2*v - 0*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 11.7. Let l = 15 + z. Suppose -205 = -17*o - 222. Which is the smallest value? (a) l (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.887301 months in decades?\nAnswer: 0.132394175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 390*o - 12718 - 14582 for o.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-4)*8\/(-2). Let f = u + -3. Suppose -j - 5 + 2 = f. What is the smallest value in j, -0.5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 602712 and 27396.\nAnswer: 602712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/((-1)\/(-8)). What is the derivative of -21*i**d + 18 + 6*i**4 + 18*i**4 + 16*i**4 wrt i?\nAnswer: 76*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0438 * 0.2\nAnswer: 0.00876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 10 - 55. Let q = 16 - w. Calculate the greatest common factor of q and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 12, 23, 38, 57, 80, 107?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -130*g**3 - g**2 - 43*g - 129. What is the hundreds digit of x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 3*z - 3. What is v(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9260, 37002, 83224, 147908, 231036?\nAnswer: 332590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 535.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 296, 578, 860, 1142, 1424?\n\"Answer: 282*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 - 7753*i**2\/2 + 108689*i\/2 - 380583\/2.\nAnswer: -(i - 7)**2*(i + 7767)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4 = 5*h, -4*h + 4*p = -2*h + 24. Let a be (-4)\/(2\/(-1)) + h. What is the remainder when ((-1665)\/(-6))\/(-5)*a is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*a + 0*a + 10*a + (1 + 3 - 3)*(-2*a + 4*a - a) + 37*a + 8 - 8.\nAnswer: 67*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. Suppose 0 = -3*t + 2*t + 20. Suppose -g = -5*z - 25, -4*g = -0*g - t. Which is the nearest to -2? (a) 5 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 9. Suppose -c + t = -3*c. Let p(o) = 3*o**2 + 8*o - 1. Is p(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 5*i**2 - i**2 - 2*i**2 - i**2 + 4*i**2 + (i - 5*i + i)*(-3*i + 4*i + 0*i))*(8*i**2 + 2*i - 2*i).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4367046 and 5788?\nAnswer: 2894","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -40*n + 772. Let v be u(13). Solve 4*b - v = -224 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((143\/(-1518))\/13)\/((-6)\/(-72)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) -3\/7 (c) 0.34 (d) -1 (e) 3\/7 (f) -11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z - 6*z)*(-1 + 1 + 2*z) + 12*z**2 - 2*z**2 + 8 - 7*z**2.\nAnswer: -3*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 2133?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*h + 88 = 5*c, -3*c + 182 = 5*h. Suppose 3*i + 0*i = c. Let d = i + -2. Calculate the least common multiple of d and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 543.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1221, 1, 4, -4, -26?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -7, -0.5, -0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -408*t + 237455. What is w(582)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 5*r - 4. Suppose -5*f + i + 4*i = 0, -f - i = -6. What is the units digit of g(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in 4\/7, 2\/13, 3, -6, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.3 + 7. Let p = h + -0.2. Let z = -6 + 6.1. Sort 3, p, z.\nAnswer: p, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15613 divided by 61.\nAnswer: 15613\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00394939791 to 6 decimal places.\nAnswer: 0.003949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 7*p**2 - 10*p - 8. Is o(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10000010000?\nAnswer: -10000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -3\/133483933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 20 + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1895 + 2961. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4544383117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.58090353 times 5\nAnswer: -2.90451765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 505, 4\/3.\nAnswer: -1\/10, 4\/3, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8132129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -23, -22, -21, -20, -19?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 0*y**2 + 0*y**2 + (4*y**4 - 2*y**4 + 0*y**4)*(0 + 3 - 12).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microsecond in nanoseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348575 and 382.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s - 39 = 0. Suppose -23 = -3*j + s. 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: Solve 2*y - 6 = 32*l - 102, 235 - 171 = -4*l + 5*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-1))**(-4\/5)\/((d\/(d\/(d**(-3\/5)\/d*d)))\/(d**(-16)*d)) assuming d is positive.\nAnswer: d**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(-2)\/v)\/v))\/v*v**(6\/5)\/v*v)\/((v*(v\/(v**(-4)*v))\/v)\/(v\/(v*v**(1\/5)\/v*v))) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 306337 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 703688 bigger than 703687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o - 2*i = 14, -2*i = 2*o - 26. Suppose 2 = 2*r - o. Solve 4*z = r*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3300.142 to zero decimal places.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -76.798*-1\nAnswer: 76.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l - 76*l + 24*l = -54990827. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrpl when four letters picked without replacement from {r: 1, n: 4, l: 2, p: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.18 - 9.82. Let j = 5 + i. Let m = -6 + 3. Which is the closest to 0? (a) 0.3 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 4. Let x be h(4). Let f = 659 + -685. Which is bigger: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-14) - 58\/203?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w**3 - 11*w**2 + w + 11. Let z(x) = 14*x**3 - 23*x**2 + x + 23. Let c(b) = -5*g(b) + 3*z(b). Suppose c(j) = 0. What is j?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 15 = -5*x, -3*x - 570*v - 35 = -568*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8019931*m*r**3 + 16046*m*r**2 + 2*m - 3*r**3 + r - 10 wrt r.\nAnswer: -48119586*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9748590 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = 127*b - 804 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(4\/6) - -3. Let x be g\/(-24) + 2\/8. Sort -5, x, 5 in ascending order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -121*y - 190. Let d(x) = 7*x. Let u(s) = -6*d(s) + f(s). Let m be u(-3). What is the highest common factor of 46 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 288, 428, 566, 702, 836?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 218784 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 0*m + m - 2*m + 3*m. Let k be n(-3). Solve -k*z - 4*l - 6 = 0, l + 3*l = 2*z + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/25808 and 43\/130522347.\nAnswer: 2088357552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*l + 46*l + 9270 = 0. Calculate the highest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277333?\nAnswer: 7, 39619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(b**5 + 2*b**5 - 5*b**5) - 343700 - 12*b**3 + 343700 + b**5 + 29*b**2.\nAnswer: -b**5 - 12*b**3 + 29*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5075181 a multiple of 619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l + 25*l - 2030410753 - 10*l - 2030410755 + 4060821508 + 2*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*u = -47, 4*u + 55 = -4*x + 219. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -69, 1\/3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -7. Let x = i - 10.05. Let d be ((-8)\/10)\/(0 - 2). Which is smaller: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 217*k**2 + 7006*k + 1972. Calculate f(-32).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**5\/60 - 5*y**4\/24 - 13*y**3\/6 - 40*y**2. Let h be c(0). Let b(r) = -11*r + 1. Does 9 divide b(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 12*q**2. Let g be k(-12). Let b be g\/(-3)*(-3)\/(-12). List the prime factors of b + (1504\/(-12))\/((-4)\/6).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -427259 * 79.3.\nAnswer: -33881638.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56156 - 18695 + 64*r - 18734 - 18725.\nAnswer: 64*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 2, j: 3, w: 6}. What is prob of picking 2 j and 1 p?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1219c (base 16) to base 2\nAnswer: 10010000110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, x: 3, h: 1, e: 5, p: 1}. Give prob of sequence ne.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**6\/210 + i**5\/20 + i**4\/7 - 2*i**3\/21 - 8*i**2\/7 + 37*i. Solve c(x) = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11501 (base 8) to base 11.\nAnswer: -3781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 87*i**3 + 11*i**2 - 61*i + 11. Let l(m) = -43*m**3 - 6*m**2 + 31*m - 6. Let j(y) = -6*k(y) - 11*l(y). Find the second derivative of j(x) wrt x.\nAnswer: -294*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191416413 is divided by 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 7*z - 4. Let a be h(-6). Let q(v) = v**3 - 26*v**2 - 58*v + 59. Let o be q(28). Solve -a*j = o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 34455950 in ascending order.\nAnswer: -6, -2, 34455950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = i - 11. Suppose 0*m + 4*m + 4*d = -i, 5*d = 4*m + 34. Put -3, m, 2 in descending order.\nAnswer: 2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 513243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 14 (b) -0.3 (c) 74 (d) 2\/61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 721112 bigger than -1662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.147*2\nAnswer: 0.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*m - 716*m + 188*m.\nAnswer: -597*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y - 4*y + 4*y)*(5 + y - 5 + (-2*y + 6*y - 2*y)*(1 - 1 - 1) - 4 + 3*y + 4).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000076418 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07739 less than 0.1?\nAnswer: 0.17739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*36*(-15)\/(-9). Suppose -5*c = -3*h - 0*h + x, 4*c - 100 = -5*h. Solve -2*d - 4*z = -7*d + h, -5*z - 25 = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/23188 and 49\/6324?\nAnswer: 69564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/3 + 82*l**3\/3 + 86*l**2 + 262*l\/3 + 88\/3 = 0. Calculate l.\nAnswer: -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -709807, -709639, -709359, -708967, -708463?\n\"Answer: 56*a**2 - 709863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -37. Calculate the remainder when 24 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148*-0.1.\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from ljwjjrwjjwls.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 + 5. Let s(b) = b**3 - 4*b**2 + b - 6. Let w(c) = -6*a(c) - 5*s(c). Factor w(g).\nAnswer: -5*g*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpllnnlpnkn. What is prob of sequence lplp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + (-44)\/(-12))*3. Let l = 2 + s. Suppose l*r - 96 = 2*r. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (360 + -333)*26\/3. Solve -215*s - 19 = -x*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6379525642 to the nearest integer?\nAnswer: 79872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*r**2 + 57*r**2 + 100*r**2 + 22*r**6 + 21*r**6 wrt r.\nAnswer: 5160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*g + 1 = 147*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (27 - ((-19 - 54) + 1))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13*(2\/(-12))\/(24\/144)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.886158061 + -3.8861. What is a rounded to six dps?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:18 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -21*t**3 + 6*t**2 + 27*t + 27. Let f(a) = -3*a**3 + a**2 + 4*a + 4. Let q = -688 + 715. Give q*f(b) - 4*h(b).\nAnswer: 3*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - r + 1. Let b(a) = 8*a**2 - 6 + 0*a**2 + 2*a**2 + 253*a - 247*a. Calculate 3*b(l) + 16*f(l).\nAnswer: -2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 15454154?\nAnswer: 15454152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/345 + -1082\/345. Let h be (-6)\/(-15) - 873\/10. Let w = 393\/5 + h. What is the common denominator of w and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h**2 - 3*h - 3. Let x(u) = u - 20. Let w(l) = 4. Let q(t) = 5*w(t) + x(t). Calculate q(f(a)).\nAnswer: -11*a**2 - 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*v + 11568 = -23666, -v + 317021 = 9*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (13 - 4) - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 0*k - 225 = -3*k, g - 127*k + 129*k - 149 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 35*o**2 - 70*o. Let t(q) = -q. Determine 5*r(f) - 350*t(f).\nAnswer: 175*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/631? (a) 1\/2 (b) -0.05 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19\/63 - -4\/9. What is the nearest to 0 in -3\/5, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 29*k + 3. Let u be v(-29). Differentiate -99*t**4 + 701 - 785 - 3*t**u - 2*t**3 + 5*t**3 with respect to t.\nAnswer: -396*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = b - 3*b + 5*m, 2*b + 5*m - 40 = 0. Suppose -29*u + 9*u = -380. Suppose -u*p + 24*p = b. Solve -v - 3*w + 0*w = -10, -p*v - 2 = w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122012212201212 (base 3) to base 8.\nAnswer: -42717407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(26)\/sqrt(2) - (sqrt(13)*-2*-6 + sqrt(13)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a0065 (base 13) in base 6?\nAnswer: 325254520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436, 1617, 3542, 6211, 9624?\nAnswer: 13781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55385669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*b = -0*b + 2, 3*b + 181162 = 11*v + 181185 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 5*r**2 + 5*r**2. Suppose -2*d + 5 = -d - t, -4*t = -d + 20. Let s(k) = k + d*k - 3*k. What is i(s(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 24 + 8. Let v(w) = 7*w**2 - 28*w - 5. Let k(i) = -9*i**2 + 27*i + 6. Let q(x) = a*v(x) + 3*k(x). What is the first derivative of q(t) wrt t?\nAnswer: 2*t - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 95*u + 1885. Determine a(-20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 93628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 37655 and 37655 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + 69397925381610.\nAnswer: 69397925381609.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5945 - 5925. Solve c*l = -21 - 19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 612 and 38262087?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/((-155)\/(-40) - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 12:20 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.014004 centuries in years?\nAnswer: 401.4004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91181303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*z - l, 0 = -4*z - z - 4*l + 4. Let n = 14 + -5. Let m = n - 4. Which is the closest to z? (a) 0.5 (b) m (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0. Let g = -0.4 - -0.2. Let q = 0.1 + g. Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-80))\/(2\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182744*t**2 - 233*t**3 + 91376*t**2 + 91368*t**2.\nAnswer: -233*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 2, t: 1, h: 1, v: 1, l: 1}. What is prob of picking 1 w and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0947 (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/5 - 978*i + 1723372\/5 = 0 for i.\nAnswer: 427, 2018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**4 + 2*p**3 + 14*p**2 - 6. Let q(w) = w**4 + w**3 + 13*w**2 - 5. Let z(t) = -5*b(t) + 6*q(t). Let z(f) = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -11 + 18 + 13 + -10 + -30\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2741, 2734, 2741, 2768, 2821?\n\"Answer: w**3 + w**2 - 17*w + 2756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39061470.\nAnswer: 2, 3, 5, 7, 186007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iie when three letters picked without replacement from iieeeiieeeii.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -14*l - 3*r, l + 5*r + 197 - 193 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/75*15*(-11)\/858.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170.9832 - -0.0168. Which is the nearest to v? (a) 3 (b) -4 (c) 0.2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-12)*4\/(-6).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-34)*2 + 208\/(-34). What is the units digit of 23016\/54 + x\/27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m**2 - m**2 - 3*m**2)*(21*m**2 - 8*m**2 + 32 - 15*m**2) to j*m + x*m**3 + r*m**2 + l + q*m**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19715?\nAnswer: 5, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/43)\/(v**(10\/11)\/v) assuming v is positive.\nAnswer: v**(21\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 1675?\nAnswer: 18425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3038 and 78306?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u - 12*u - 10*u + (-256*u - 9020 + 9020)*(0 - 1 + 3).\nAnswer: -524*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0091 + -0.5091. Which is smaller: 0.6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45434 (base 6) in base 8?\nAnswer: -14436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 32 = 4*o, 6*j - 2*j + 5*o = 36. Suppose 0*z = z - j. Suppose -30 = -z*w + 34. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/6*(-2 - 52\/(-30)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqz when four letters picked without replacement from zqqzqqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-4)\/(-164))\/(798\/532)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 548056?\nAnswer: -548046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1112 in -1\/2, -10, 395?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r + 165. Let p be u(33). Suppose -4*o - 507 + 2015 = p. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 - -118. Let m(u) be the first derivative of 0*u**2 - 1 - 4\/5*u - 1\/20*u**a + 1\/5*u**3. What is c in m(c) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.83 - -0.17. Let s = 7.008405 - -4.991637. Let c = s - q. What is c rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177\/167 + 38383\/58116. Find the common denominator of -31\/6 and m.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + (-17 - -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - b**2 - 132*b**3 + 158*b**3.\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 40*w**2 + 19*w**2 - w**3 - 187*w - 2 - 3*w**3 wrt w.\nAnswer: -24*w - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 10600?\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f**3 + 8*f**2 - 7*f - 7. Let v(x) be the third derivative of -x**6\/24 - 7*x**5\/60 + x**4\/4 + x**3 - 33*x**2. Determine -6*r(d) - 7*v(d).\nAnswer: -d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 23\/8 - 10\/(-80) - -821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p + 37*p - 7*p - 10*p - 10*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 3*o + 2. Let t(j) = j**2 - 4*j + 2. Let w(x) = -3*t(x) + 4*y(x). Let f(r) = -228*r - 437*r + 667*r. Calculate w(f(v)).\nAnswer: 20*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/4 - 1*4. Let k be -2 + -5*4\/r. What is the closest to -2\/13 in -0.3, k, 1\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 5*p - 5 + 12, -24 = 4*p + 3*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3278 and 46190.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.90276 rounded to 2 decimal places?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 0.1, 5, 4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/906 + -227\/453. Which is the nearest to 1? (a) t (b) -3 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112391029?\nAnswer: 1112391029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 - 112. Calculate the remainder when 67 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 16 = 17. Suppose 39 = 4*k + j. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Let z = 1 - -3. Sort 2, g, z.\nAnswer: 2, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83001 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f + 17. Let o(h) = -2*h + 6. Suppose -4*a + 0*u + 49 = -u, -3*u = -5*a + 70. Let w = 10012 - 10016. Determine a*o(t) + w*z(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -120?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 - -11) + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 210, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3024 is divided by 988?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -2*u**4\/3 - 17*u**3\/3 - 161*u - 152. Let d(t) be the first derivative of z(t). Let w(v) = -2*v. Calculate d(w(y)).\nAnswer: -32*y**2 + 68*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-24)\/14)\/(18\/42). Suppose -7*v = -4*v. Suppose -2*u - 5 = 3*u - l, v = 4*l. Which is greater: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -36\/11 (b) -30 (c) -62\/5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*w - 11650 = 53*w - 136*w for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 9962 + 261962. Suppose c = -0*j + 3*j. What is j rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7685434 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3264 and 38172.\nAnswer: 10382784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170941396.\nAnswer: 2, 2963, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -49590315, -49590321, -49590327, -49590333, -49590339?\n\"Answer: -6*s - 49590309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-nine fifths of a millisecond?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4651 at most as big as 4642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -316 or -2215\/7?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -82, -83, -84, -85?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*u - 2*u + 4*u - 3 + 0*u wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-40))\/(6\/8*286\/858)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -1\/27, -1\/67, 0?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = -2*j. Suppose 61 = m + 4*z, j = z - 5*z. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 336600*q - 7406168.\nAnswer: 2*(q - 168322)*(q + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12442100?\nAnswer: 2, 5, 11, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12710 and 12290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x + 38. Let o be d(-7). Let c(g) = 3*g + 9*g + o*g - 19*g - 23. Let i be -4*3\/(-6) + -19. Let b(u) = -u + 8. Determine i*b(h) - 6*c(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 65*i - 64*i + 3, 0 = 4*j + 4*i - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/5 - -16\/65. Sort -11, 3\/2, z in descending order.\nAnswer: 3\/2, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/176 and -31\/400?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 90587251037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 194*f**2 - 3390*f - 51. Determine g(74).\nAnswer: 985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/163, 0.02, 0.23, 0.1, -5, -0.3?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 465318, 930638, 1395958, 1861278, 2326598, 2791918?\n\"Answer: 465320*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 22856, 4?\nAnswer: 22856","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 + 1018. Let i = h - 698.2. Let w = i + -123. What is the third biggest value in -2, w, -2\/13, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(130))\/(2*sqrt(250)) - (-2*(sqrt(1053) - sqrt(13))**2 - (-3 + sqrt(52))**2).\nAnswer: -58*sqrt(13)\/5 + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.9 - -2.1. Let j = 13.9944 - c. What is j rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*f - 12 = -t + 70*f, 0 = -4*t + 4*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2. Let d(g) = 24*g**3 + 12*g**2 - 5*g + 2. Let o(f) = -f**3 - f**2 - f. Let j(v) = 5*d(v) + 30*o(v). Let x(m) = -5*b(m) - j(m). Factor x(q).\nAnswer: -5*(q + 1)*(2*q - 1)*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1556 - 1556.2287. Is m > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -112\/5 in -5\/11, -3, -0.4, 0.3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5543 divided by 23\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7659*b. Let u(y) = 349*y. What is u(l(h))?\nAnswer: -2672991*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 891.7783 weeks to hours.\nAnswer: 149818.7544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 10.6. Let i = 1 - l. Which is the third biggest value? (a) -0.3 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5. Let y = -64 - -65. Let i(l) = -46*l + 51. Let p be i(y). Let c(j) = -j + 11. Give p*q(g) - 2*c(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31125 + 121141?\nAnswer: 152310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 9*t + 8. Determine f(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 91a9?\nAnswer: -9203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57858220 by -1345540.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 2*x + 832 = 0, 5*u + 2453*x - 330 = 2448*x for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-26))\/((3 - 7) + (-162)\/(-39))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-7)*m)*m**(-4)*m*m)\/(m**(1\/13))**(-44))**(-27) assuming m is positive.\nAnswer: m**(2322\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 0)\/12 + (-4582)\/8. What is the units digit of (-8)\/(-20) - (k\/5 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 53.00095. What is g rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*f + 4, 7*g = -f + 5*g + 6. What is the greatest common divisor of f and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 151997 and 151993 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15092*g*h*y**3 + 3*g*h*y**2 + 8*g*y**3 - 3*g*y - 7*g + 6*y wrt h.\nAnswer: 15092*g*y**3 + 3*g*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2 - 8 = 0. Let b be (-2)\/14 + (-250)\/(-35) + -2. Suppose b*s + 4 = 6*s. Solve -3*g - 5*y + 16 = 0, -u*g + y = g - s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 58895907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*t + 3, -4*t - 19 = -2*o - 3*o. Suppose d - 136 = -o*d. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13 + -0.07. Let i = 0.1 + b. Let f = -0.3 - 4.7. Put i, f, 2 in increasing order.\nAnswer: f, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 176700?\nAnswer: -1766dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -6 - (-6 - (-10)\/5). Let z be -4*1\/(2\/(-1)). Let v(o) = -3*o**z + p*o**2 - 3*o**2 + 5*o**2. Let c(h) = h**2. Give c(v(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d. Let h(w) be the first derivative of -w**3\/6 + 2*w - 5. Let j(v) be the first derivative of h(v). Determine -10*j(b) - 4*m(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/17 (b) 65 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*u + 37*u + 104. Let j = u + -60. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 2\/5 (c) -0.04727 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + -13. Let b = v + 50. What is b rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 6?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - 5) + (-6 - 13) - 43?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*z + 23 = 64, 2*z + 9 = v. Put v, 62, -2 in increasing order.\nAnswer: v, -2, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3) + sqrt(3) + -1 + sqrt(3) + -5)**2*2.\nAnswer: -630 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c**2 + 4*c**2 - 3*c**2)*(275 - 275 - 14*c + (0 - 2 + 0)*(c - c - c) - 2*c + 4*c + 0*c - 2 - c + 2) as i + z*c**2 + t*c + x*c**3 and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -362 (base 8) to base 3\nAnswer: -22222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135514\/33 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 18*k - 204 = 2*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x**2 - 34*x - 9. Let v be b(-3). Put -5, 233, v in increasing order.\nAnswer: -5, v, 233","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 15*j - 14. Let h be p(16). Solve 0*z = -2*z + h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183 - -287. Let b = d - -1173. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 - 131 = 2*t. Solve -l - 33 + t = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 917 and 6321798.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 36\/8615?\nAnswer: 36\/8615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v = 26*v + 1977. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-3465)\/(-140) - 22).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 2*f**2 + 4. Let m be p(-3). Let r = 3 + m. Let b be ((-21)\/6)\/(r\/8). Calculate the greatest common divisor of 35 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (966\/805)\/(2\/(-3)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 8 = -2*r, 9*c - 8*c - 863*r + 872*r + 36 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9455571 divided by 1383.\nAnswer: 6837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(1\/(-1))\/(-11)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -7*v. Suppose v = 4*f - 3*l - 4, 3*f + 3*l = 6*l. Factor 3*m**f - 3*m**2 - 87*m - 3*m**5 + 3*m**3 + 87*m.\nAnswer: -3*m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**5 + 230*i**4 + 10595*i**3 - 304520*i**2 - 3824700*i = 0. Calculate i.\nAnswer: -38, -10, 0, 33, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 68 - 13 + 111 - 2*v + 16 - v in the form y + o*v and give y.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13275 and 12621870.\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*g**3 - 3*g**3 - 7*g**3)*(1 - 1 - 9*g) to the form w + k*g**4 + c*g**2 + z*g + q*g**3 and give k.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 6:48 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - d = 34 + 13, -5*l - 5*d + 65 = 0. What is the remainder when 42 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110012112 - -1?\nAnswer: 110012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*((-6)\/2 - -4). Suppose l*c - 4*w = 2774, -5583 = 11*c - 15*c + w. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -8. Let v = p + 4. Solve -x + 2 = -v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(940\/120)\/(-47))\/(3*15\/(-18))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.7 (b) -3\/4 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 21*q - 50. Let g = -39 + 48. Suppose -g*j + 20 + 25 = 0. Calculate the remainder when 109 is divided by a(j).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + h**2 - 1. Let q be d(0). Sort q, 1, -11 in descending order.\nAnswer: 1, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5965 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76 - -42) + -33 + 68?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 43*z - 63. Let r be c(37). Let o = -157 + r. Factor 2\/17*k**4 + 16\/17*k**o + 8\/17*k + 0 + 10\/17*k**3.\nAnswer: 2*k*(k + 1)*(k + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 57*q - 9*q + 210 + 14*q.\nAnswer: 2*(q - 21)*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3\/17 - 270*g**2\/17 + 276*g\/17 + 32 = 0.\nAnswer: -136, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Suppose -5*t = -h*g, 0 = -4*g + 21 - 1. Suppose 2*b - 4 - 24 = -2*c, 0 = t*c + 3*b - 72. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3045, 6090, 9135, 12180, 15225, 18270?\n\"Answer: 3045*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18764, -37526, -56288, -75050?\nAnswer: -93812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7350000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 174 + -132.1. Let k = 42 - o. What is the closest to k in 2\/3, -0.01, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 4*t + 11. Let y be 1\/(-2) - 136\/t. Calculate the greatest common divisor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 4. Let o be r(-6). Solve o*a = -a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmvmmvhhhhhmmhmmhmm. What is prob of sequence mhmh?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 840236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-9)*5*(-292)\/365?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2923*y - 2927*y = -4*u - 20, 5*u + 3*y - 3 = -4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:09 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f - 6*u + 4 = -36*f + 67*f, 30 = -5*f + 14*u + 21*u for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + 77. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mpm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 103333 (base 6) in base 14?\nAnswer: 318d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6568916407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -3, -167, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.16 + -6.16. Let g = -9 - -2. Let o = 12 + g. Put 1, o, i in ascending order.\nAnswer: 1, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1626.54 plus 3951713.1?\nAnswer: 3950086.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + 3 - 3 + (-1 + 1 - 4)*(-2 + 2 - 2*z) + 22*z - 2*z - 2*z.\nAnswer: 29*z","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 253131\/16 + -15820. Calculate the common denominator of d and 2\/(-6) + (-121)\/60.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 + 9 = 5*n, 2*j - 7 = -n. Let m be ((-8 + 2)\/(-12))\/(3\/j). Which is the fourth biggest value? (a) 11 (b) 0 (c) -1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 8*i**2 - 2*i - 6. Suppose -4*u - 42 = 5*l, 3*l + 2*l = -10. Let o be x(u). Let g be (5\/o*-3)\/(2*1). Do g and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-21 - 20) - (-13 + (-18 - -31))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.7 + -10. Let w = b - 1.2. What is the smallest value in -1\/6, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 0 + 0*d**3 + 0*d**4 + 0*d + 3\/10*d**5 + 0*d**6 + 11\/210*d**7 - 4*d**2. What is the third derivative of v(k) wrt k?\nAnswer: 264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -161448851*n*u**3 - 2271545*n - 5 wrt u?\nAnswer: -484346553*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18879, -3644, 4.\nAnswer: -3644, 4, 18879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -67496*v**2 + 92. Let z(r) = -11249*r**2 + 16. Let m(k) = 4*y(k) - 23*z(k). Let c(o) = -2*o**2. Calculate m(c(x)).\nAnswer: -45028*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43653 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8 times 0.19?\nAnswer: -1.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 9*q**5\/5 - 12*q**4 + 21*q**3 + 546. Determine v so that j(v) = 0.\nAnswer: 0, 7\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/28 and 15\/7316?\nAnswer: 51212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(7)*-1 + (((sqrt(35) + (sqrt(35) - (sqrt(35) + sqrt(315))))\/sqrt(5))**2 - sqrt(7)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7940691 plus -9?\nAnswer: -7940700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-4 - -9)) + -1 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g + 0*g)*(1 - 1 - 1)*(-20*g + 8*g - 19*g).\nAnswer: 62*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 5504 = 5*z - 17*k, -4*z + 3*k = -4406. List the prime factors of z.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.4, 2, 3, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/5 + 95157*q\/5 + 190326\/5.\nAnswer: -3*(q - 31721)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18615.\nAnswer: 3, 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4389 divided by 1463.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b**3 - 122*b**2 + 21*b - 5. Let o be f(10). Let c = 16 - 10. Let i(r) = r**2 - 7*r + 7. Let t be i(c). Solve -4 = -o*x + t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -8 + 12. Let r = 96 + -96. What is the nearest to q in r, -2\/19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*280748261.\nAnswer: -28074826.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ggggngggggggggg?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 + 315 - 125 - 25 + 137*m - 7*m)*(m - 4*m + m).\nAnswer: -260*m**2 - 164*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 30. Let z(g) = -543*g**2 - 3*g - 1. Calculate z(a(d)).\nAnswer: -2172*d**2 + 65166*d - 488791","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzlar. What is prob of picking 1 r, 1 j, and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 96602*w + 1738765. Calculate c(-18).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 147 * 22429\nAnswer: 3297063","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -189*u - 35. Let o be v(-15). Let c = o + -5316. What is the tens digit of c\/(-18) + 20\/90?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.674 and -616.\nAnswer: -616.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 10:26 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 22, -4 in ascending order.\nAnswer: -4, -2\/11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 7 - (333 + -389)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -4468 in decreasing order.\nAnswer: 3, -2, -4468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -63, 76, 2, 1\/2 in ascending order.\nAnswer: -63, -0.1, 1\/2, 2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 30413780 divided by 2\nAnswer: 15206890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -36, 3, -10, -2, 118 in descending order.\nAnswer: 118, 3, 0, -2, -10, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a milligram in micrograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13723971.46 or 1?\nAnswer: 13723971.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/145, 1, -0.5, 2\/11, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 2, b: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 816477 and 415311.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9734*p. Let x(n) = -116*n - 29. Give o(x(k)).\nAnswer: -1129144*k - 282286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxll. Give prob of picking 2 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-8) - 1)*4. Let a(h) = -2*h**3 + 40*h**2 + 260*h + 53. Let b be a(-5). Sort g, b, 1, -56 in descending order.\nAnswer: g, b, 1, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68657*g - 28143*g - 38321*g - 23298*g.\nAnswer: -158419*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 1 d when three letters picked without replacement from mqvvdmmm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7805307*l**2\/2 - 33873*l + 147\/2.\nAnswer: 3*(1613*l - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -77c - -a?\nAnswer: -772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -2*j**5\/5 + 4*j**3\/3 - 2*j - 6. Let p(n) = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-86)\/4 + 1\/2. Let f be 6\/h + 9\/7. Which is the second biggest value? (a) -5 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -32211 + (-4)\/(-1 - (-4 + 1)). Let a(w) = 8*w - 72513. Let z be a(0). Let n = c - z. Round n to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 7. Let k(v) = -10*v + 115. Calculate the remainder when n(-6) is divided by k(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003004310 (base 5) in base 10?\nAnswer: -2000580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/(f*f**18))\/((f\/f**(-3))\/(f**24\/f)) assuming f is positive.\nAnswer: 1\/f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12485a - -1?\nAnswer: 124860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 98*b + 103*b = 81, i + 2*b = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2789 - 2787. Solve c*a = -h + 1, -11*h + 5 = -16*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*g + g = 0, 2*v + 2*g = 42. Solve v*a - 13*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.5 - -135.5. Let m = g - 126. Let z = 386\/5 - 77. Which is the closest to z? (a) 5 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f = 19*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 4*o - 2. Let m be q(-4). Suppose -4*g - g + m = 0. Solve g = 5*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-714) - 276\/(-34)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x**5 + 476*x**4 + 2888*x**3 + 1478*x**2 - 6825*x + 1998 = 0 for x.\nAnswer: -18\/5, -3, 1\/3, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.00521 - -5.11579. Let o = z + -5.1. Round o to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1852 = -3*k. List the prime factors of k\/6 - (-32)\/(-96).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 382076437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -63d5c8?\nAnswer: -63d5c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*s = -28, 0 = -4*r + 4*s + 28 + 4. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9 - (-1)\/3. Suppose -5*g + 3 = -4*p, -5*p - 2*g + 0*g + 21 = d. Suppose 4*u - 2*u = 4*m - 142, p*m - 120 = -3*u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 21 = o, -2*h - 15 = h. Let d(l) = 4*l**2 + 13*l - 7. Calculate the remainder when d(o) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 86\/30 - 16\/(-120). Let o = 3 + -2. Suppose -g = 3*p + o, -4*g + d*p = -24 - 17. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390\/(-105)*(-189)\/27?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -2. Suppose 2*w + 4 = 0, 18 - y = c - 5*w. Let i = 4 - c. Solve -5*p - 8 = b - 2, 2*b = -i*p - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8142 = -7*c + 20411. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*y - 24 = 3*y, 4*h + y + 148 = 0. Let g = h - -40. Suppose -6*k + 15 = -3*k. Solve -g*j - u = 2*u + 13, 0 = -j - k*u + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1504827 * 0.2\nAnswer: -0.43009654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 1. Let y = h - -14. Suppose -4*d = -3*v + 86, 77 = 4*v - y*d - 21. What is the remainder when v is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58746 - 4?\nAnswer: 58742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*d - 45*d + 748. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 1 + 24 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 3692.\nAnswer: 25\/3692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 12:51 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864249?\nAnswer: 3, 31, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -47, -78, -109, -140, -171?\n\"Answer: -31*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, g: 3, b: 6, t: 2, m: 2}. What is prob of sequence ba?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 958761719*r**2 - 604528999 wrt r.\nAnswer: 1917523438*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.35 - -0.65. Suppose 0 = 3*q - 15, -4*p - 2*q + 7 = -5*p. Which is the third smallest value? (a) -3 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -712, -1425, -2138?\n\"Answer: -713*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3366 and 198.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 42766.\nAnswer: -48\/21383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 4:38 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 2*a + 0 - 1\/3*a**3 - a**2. What is h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c4 + 4?\nAnswer: 2c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 25 = -36. Calculate the highest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/(-63))\/(-10)*3*-15\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (11 + -9 - 9) - (1 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474316086 divided by -6.\nAnswer: -79052681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*z - 2*z - 2*z)*(0 - 1 + 4) + 3*z + z - 2*z + (2*z - 5*z + z)*(1 + 4 - 2))*(-88*z + 62*z**2 + 88*z).\nAnswer: -620*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-174*d**3 + 94*d**3 - 168*d**3)*(-3*d + 6*d - 2*d) in the form u + m*d**4 + s*d + z*d**3 + n*d**2 and give m.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 5 - 4)*(2*c + 1 - 1 + (2*c - 2*c + 2*c)*(-3 - 3 - 24)) to the form h*c + u and give h.\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 644 - 586.7. Let x = 56.8 - o. Let t = -2.3 - 0.7. Put t, x, 9\/4, 2\/5 in increasing order.\nAnswer: t, x, 2\/5, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 15635?\nAnswer: -2\/15635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/4 (b) 0.1 (c) 2\/71 (d) 1 (e) 0.0266 (f) 23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23494010*y = 23494136*y + 10962 for y.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 25*h - 22*h, 3*n = -h + 477302. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-1 - -2 - 8 - -4). Suppose x = 3*h + 9*z - 6*z - 288, 2*h - 183 = z. Suppose -t = h - 97. Solve -5*a = -s - 21, 3*a - 20 = t*s - a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + ((3*(-1 + sqrt(343)))**2 - sqrt(343) - sqrt(343)).\nAnswer: -140*sqrt(7) + 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/8)\/((-7)\/(-2) + -4) + 3. What is the closest to -1 in 1, -35, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 - 1. Let k be q(-1). Suppose 0 = -6*g - 11*g. Suppose -2*o = o - 6. Solve -k*w = -g - o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 56 = -3*n + 8, 44 = 3*n - l. Suppose -8*t + 8 = -24. Suppose -q = 5*d - 25, 3*q + t*d - 10 = 2*d. Solve x + 17 = -5*c, -c - n = -q*x + 5*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1599 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 3. Suppose 5*s - v + 37 = 0. Let m be (-8)\/(-20) + (-43)\/s. Solve 3*g = -3*z - 6, -3*g = -z - z - m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 380758 or 380759?\nAnswer: 380758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 21*w - 800 = 0. Is 39 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 12.7. What is the nearest to 1 in 0.2, -5\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1303031 - 32?\nAnswer: -1303103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 3:24 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49591, -49566, -49541, -49516, -49491, -49466?\n\"Answer: 25*f - 49616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33143 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4376886 millilitres in litres?\nAnswer: 0.0004376886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - n + 5*d - 45 = 0, 2*d = 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4\/3 (b) -0.16 (c) -39 (d) 4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -804, -1611, -2420, -3231, -4044, -4859?\n\"Answer: -m**2 - 804*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10100001010 (base 2) to base 4\nAnswer: -110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 803 and 1971.\nAnswer: 21681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 - 4)*(3*q - q + 0*q) + (4 - 2 - 4)*(2*q + 0 + 0) in the form n + l*q and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -23090462416 + 0\nAnswer: -23090462416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 394 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 250 + 26. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1750 = -2*o. Let l = o - -450. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*g - 34 = -362 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c55 + 7?\nAnswer: -3c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -123, -248, -431, -678, -995, -1388, -1863?\nAnswer: -2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -3, 0, 9, 7 in increasing order.\nAnswer: -62, -3, 0, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, -6, -0.551, -12\/11, 0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 5. Let d(i) = -2*i - 6. Calculate 4*d(f) - 5*p(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -342 + 11?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -9. Let j(h) = -5*h - 24. Let l(s) = -9*s - 44. Let q(k) = 11*j(k) - 6*l(k). What is the units digit of q(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347721851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4532564.\nAnswer: 2, 19, 23, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 + 0.05. Let v be (-88)\/(-77) - (-16)\/(-14). Which is the closest to g? (a) -1 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22877*z - 11423*z - 11454*z - 25*z**2.\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4497, 9043, 13665, 18363, 23137, 27987?\n\"Answer: 38*z**2 + 4432*z + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3508 divide 459127840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/36)\/((-11)\/(-66))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 187 + 29 = 0. What is the highest common factor of z and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147991 is divided by 73880?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**6\/120 - h**5\/5 + 7*h**4\/24 + h**3 - h**2. Suppose 162 = -3*v + 129. Let f be w(v). What is f rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1430046*p**3 - 22600924*p**2?\nAnswer: 8580276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4184810 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -0.4, 0.11, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 4*s**2 - 4. Let z be t(-4). Let r be (3\/z)\/(18\/16). What is the third biggest value in -2, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6981476544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d48 (base 14) in base 12?\nAnswer: -7a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -100*a + 17. Let s be w(-3). Suppose 5*u = q + 712, -s - 383 = -5*u + 5*q. What are the prime factors of u?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*y + 81. Let g(v) = -v + 7. What is the least common multiple of 8 and g(y)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324203776.\nAnswer: 2, 7, 738953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(228) - sqrt(228)))\/((sqrt(120) - sqrt(120)*-2)\/sqrt(10) - sqrt(12)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0062949 and -0.5?\nAnswer: 0.4937051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/6 (b) 3 (c) -25\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 15, 4*d + 47 = 2*b - 33. Suppose b - 7 = 3*u. Let p be ((-27)\/12)\/((-6)\/16). Solve g + v = -v + p, 4*g - u = -3*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 104 - 19. Suppose -2*t = 2*t + 4*s - 32, -4*t + z = s. Find the second derivative of -9*d + 49*d**3 - 49*d**t - 15*d**5 wrt d.\nAnswer: -300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/18 and -67\/312.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -17*i**3 + 25*i**2 - 2*i. Let v(q) = 8*q**3 - 12*q**2 + q. Calculate 6*d(j) + 13*v(j).\nAnswer: 2*j**3 - 6*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1544746\/5 + 308952. Let 2\/5*x - x**4 - b*x**3 - 7\/5*x**2 + 0 = 0. Calculate x.\nAnswer: -2, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1137154 + 1)*1\/(-54). Let k = -21059 - n. Let z = k - -2\/27. Do z and 0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130808 + 130818 + 271*q**2 - 261619.\nAnswer: 271*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 42 = -2*c, 3*v + 4*c + 28 = -108 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9529735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(216) + (sqrt(5) - ((sqrt(495)\/sqrt(11))**2 + sqrt(5))).\nAnswer: -45 + sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d - 8 = 2*j, -d - 4 = 2*j. Let c = 3 + j. Suppose -3*y - 2*m = 5, -4*y - 39*m + 26 = -41*m. Solve -y*i = 12, -5*l = -c*i - 1 - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:53 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/13? (a) -47 (b) -0.11 (c) 1 (d) 34 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -475*g**2 + 72 + g**3 + 0*g**3 + 5*g**3 + 543*g**2 + 134*g.\nAnswer: 2*(g + 1)*(g + 9)*(3*g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/14 - 156\/(-756). Sort 4, 2, o in decreasing order.\nAnswer: 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1483291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.6, 1\/97, -1\/3, 3\/8?\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370777710.\nAnswer: 2, 3, 5, 23, 443, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96\/10 - (228\/(-95) + 3) and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14\/3195 - -354449\/44730. Let j be 1292467\/90 + (-1)\/(-5). Let z = j - 14367. What is the common denominator of z and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-16) - 1221\/(-360). Let v = x - 18\/5. Let j = 0.5 - 0.8. Which is the third smallest value? (a) v (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 1 = -4*x, -2*s + 15 - 1 = x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/((-243)\/21 + 96\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/6 and 25\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25\/228 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1dcd - 3?\nAnswer: 1dca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/30 and ((-23)\/(15295\/(-1358)))\/(236\/(-10) + 2).\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840631 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4487*x + 4488*x = -6*g, x = -4*g + 4 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 16 = 5*c, 5*c + 9 = 3*s - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 9. Suppose 2*t - 5*a = -a + 454, 4*a = -m*t + 438. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12086 - -12086. Let z(w) be the second derivative of -1\/2*w**2 + 27*w + c - 1\/6*w**3. What is z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4*h + 66 = 0, -15 = 4*o + 5*h - 54 - 48 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -107*u**4\/12 + 254*u. Let f(j) = 2*j**2. Calculate f(a(y)).\nAnswer: 22898*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51686 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 8*d - 19. Calculate l(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12548619 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 365311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udk when three letters picked without replacement from ssnkkwsudkd?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from llmmmlllmcmmllsm.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 882866.6 millilitres?\nAnswer: 882.8666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 3. Let p be l(17). Let t = -12 + p. Suppose 0 = 5*m + 2*k - 7, t = 3*m + 2*k + 3*k. What is the nearest to 0 in -0.1, -11, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u + 4*u = -79994. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t + 2*t)*(4 + t - 4) + (3 - 3 - t)*(-14365 + 1363*t + 14365) + 0 - 2*t**2 + 0.\nAnswer: -1364*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/231984 and -59\/513909?\nAnswer: 74002896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 - 9. Suppose 0 = 2*a - 4*a - 16. Let t(f) = -1 - 12 - 9*f**3 + 3*f**3 + 0 + f**3 - 1. What is a*k(x) + 5*t(x)?\nAnswer: -x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/9112 and 41\/146132.\nAnswer: 19581688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/10)\/(6\/15). Which is the closest to m? (a) 3\/2 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (4 + -3 + -17 - 6).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uppf when four letters picked without replacement from fpffpuup.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1411 (base 6) to base 15.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/21 - (5 + 75\/(-7)). Let v(b) = 2*b**2 - 3*b - 16. Let n be v(d). Let u = n + 76. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1591 bigger than -1591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114062224 is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by 3?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2*m*o + g**2*m*q - 464*g*m*q + 2*m*o*q + 2*m*q - 25*m - 191*o**2 - 347*o*q wrt o?\nAnswer: g**2*m + 2*m*q - 382*o - 347*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 - 297790*n + 297790*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0047 + 291.9953. Let s = a + -305. What is the third biggest value in -0.5, s, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*-3*(-3 + -2 + (sqrt(343) - (sqrt(343) + 0 - sqrt(343)) - sqrt(343))*-2))**2.\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.8 + -39.8. Let r = 0.1 - -4.9. Which is the third biggest value? (a) 33 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193*s**4*v - 3852*s**4 + 4*s**3*v - 47*s**2*v - 6*s**2 + s*v - 2150*v wrt s?\nAnswer: -4632*s*v - 92448*s + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -10*b**3 - 5*b + 5. Let m(k) = 34*k + 132. Let s be m(-4). Let g(i) = -9*i**3 - 4*i + 4. What is s*z(d) + 5*g(d)?\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -5, -8, -13, -20?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2808365 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3528*g**4\/5 - 41496*g**3\/5 + 109586*g**2\/5 + 73112*g\/5 + 10952\/5 = 0?\nAnswer: -2\/7, 37\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 271*t + 132. What is the least common multiple of s(0) and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -5774 take away 16.6948?\nAnswer: -5790.6948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 1. Let n be c(-3). Let p = n + 4. Suppose -z = -2*s + 14, 5*s - 2*z + p = 44. Solve 1 = -s*v - o, -2*o + 3*o = -v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084829818 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 6*r + 10. Let p be g(7). Let x be -16 + 10 + 474\/(-2). Let s = -242 - x. Solve p + s = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8734\/537 + -72\/179. Let k = 656727\/13 + -50553. Let b = 27\/26 + k. Find the common denominator of r and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1090.999994355 + 1091. Round a to seven dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2\/5, 0.5, 306, -3\/5 in increasing order.\nAnswer: -3\/5, 1\/5, 2\/5, 0.5, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -78?\nAnswer: 77.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -32. Let n(s) = -3*s**3 + 2*s + 2. Let l be n(z). Let h(k) = 2*k**3 + 2*k**2 - 3*k. Let y(x) = -5*x**3 - 5*x**2 + 7*x. What is l*y(u) + 7*h(u)?\nAnswer: -u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 6*y**2 + 5*y + 5. Let g be d(5). Let v = -5 - -17. Solve 0 = -4*n + g*p + v, 4*n - 4*p - 24 = 8*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -453?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -6*f + 1. Suppose f*y - 6 = -y. What are the prime factors of y + 1 + (-60)\/15 + 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 217996.\nAnswer: 18\/54499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -34, -3, 0, 6, 85.\nAnswer: -34, -3, 0, 5, 6, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28982\/63 + -460. Let c(t) be the second derivative of -1\/60*t**5 + 0*t**3 + 0*t**2 + 2*t + 0 - u*t**7 + 0*t**4 - 1\/18*t**6. Let c(k) = 0. What is k?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*p + 0)*(p + 0*p - 2*p)*((-p - p + 4*p)*(-1 - 4 + 6) - 3*p + p + p) as w*p + c + q*p**3 + y*p**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(15\/5)*4\/8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132179 and 2227?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.23743 - -0.13743. Which is the third biggest value? (a) -4 (b) i (c) -566\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 v, 1 h, and 1 k when four letters picked without replacement from {v: 1, g: 2, d: 5, h: 7, k: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1741, -3483, -5237, -7009, -8805, -10631?\nAnswer: -12493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46989*m - 47013*m = 312 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18.2*0.17335\nAnswer: 3.15497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5 - f**4 + 16*f**3 + 16*f**2 = 0.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18050113 to the nearest integer?\nAnswer: 4249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468974 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 1700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 378\/(-2898)*92\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -17*q**2 + 2*q - 1. Let m be u(-2). Let y = -30 - m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/4))**(-31))**(-4)*(w*w*w**1)**(-44)\/(w**(-1\/3))**44 assuming w is positive.\nAnswer: w**(113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79\/154 + -5\/22. Let r = 12 - 7. Let j(v) = v**2 - v + 1. Let x be j(0). Which is the closest to x? (a) -1 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -543315 (base 7) to base 10.\nAnswer: -94827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1183*x**4 - 589*x**4 + 37*x - 589*x**4 + (4*x + 3*x**3 - 4*x)*(2*x - 2*x + x).\nAnswer: 8*x**4 + 37*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -26. Let b be 12\/7 + (-2)\/(-7). Let a(t) = -2 - s + t - b. Calculate a(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50103635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (8 - -10 - 35)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408037.\nAnswer: 7, 71, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238 and 2639.\nAnswer: 89726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -48089440?\nAnswer: 48089438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3075 is divided by 312.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2571 + 24*w - 3801 - 17*w + 32*w.\nAnswer: 39*w - 1230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 15*f = 153, x + 636 = -4*f + 674 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32142 (base 7) to base 14.\nAnswer: 2c92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 12 + 10 = 0. Let i be 178\/((-4)\/(r - -4)). What is the common denominator of 97\/14 and (2 + (-15)\/10)*i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 4*i + 4. Let f(s) = -2*s**2 - s - 2. Let c(v) = -f(v) + n(v). Calculate c(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34167904.\nAnswer: 2, 1067747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = -q, -3*w = 2*w + q - 52. Suppose 3*o + o - 20 = 2*y, 2*y = 8. What is the least common multiple of w and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 1 - 1)*(-5*h**2 + h**2 + 2*h**2) - 3*h**3 - 3*h**3 + 5*h**3 + (h - h + 3*h**2)*(-2*h - h + 9*h) as r*h + t*h**3 + c + v*h**2 and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1\/6, 3, 7206, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3483916039.03 - 0.01\nAnswer: 3483916039.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b6 + -304?\nAnswer: -3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 880 and 1945240?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -12. Let i = j - 15. What is the nearest to -1 in 0, 0.3, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5096, 10304, 15512?\n\"Answer: 5208*n - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22932 is divided by 7637?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 216 = 215. Which is greater: 9\/224 or h?\nAnswer: 9\/224","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/42 and 95\/198.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.544304cm in kilometers?\nAnswer: 0.00006544304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(72) - (-1 + -1 + sqrt(72))) + -2*sqrt(72) + -4 + (sqrt(72) - (sqrt(72) + 0)) + 2 + 3)**2.\nAnswer: -192*sqrt(2) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.89 + -0.69. What is the smallest value in 4, -2, 7, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15 + 1 + -1*1. What is the units digit of (12\/(-5))\/((-6)\/t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*u**2 + 571*u - 571*u - 3*u**2.\nAnswer: 62*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 12:14 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 118?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -12*d + 13*d. Let q(s) = d*s**2 + 4*s**3 - 2*s**2 + 0*s**2 + s**2 + 7. Let r(p) = -2*p**3 - 5*p**2 - 4. Determine -3*q(m) - 5*r(m).\nAnswer: -2*m**3 - 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 2*r - 2*r)*(-759*r + 653*r - 88119 + 88072 - 1389*r) to i*r**2 + n*r + t and give i.\nAnswer: 1495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6470 divided by 29.\nAnswer: -6470\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -140 (c) 2\/7 (d) -70\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmj when three letters picked without replacement from hmmhhhj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.07, -0.019, 10, -2 in ascending order.\nAnswer: -2, -0.07, -0.019, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**3 - 5*h**3 + 4*h**3 + (6 - 4 + 0)*(-5*h**3 + 2*h**2 - 2*h**2).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/120 - 7*j**5\/60 + 5*j**4\/8 - 11*j**3\/3 - 21*j**2. Let p be w(-9). Solve 0*n - 2*n - 2*d = -12, p*n = -4*d + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 4*p + 67, 0 = l + 5*p - 54. Does 28 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*s - 93*s = 88*s + 180 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -5.99.\nAnswer: 5.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*s**3 + 55*s**3 + 57*s**3 - 109*s**3 - 55*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q**0\/q)\/q))*q)**37*(q**0\/q*q)**(7\/3) assuming q is positive.\nAnswer: q**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 3*t**2 - 8*t - 11. Let y be l(5). Let m(i) = 13*i**3 - 2*i**2 + 3*i - 2. Let f(v) = v - 1. Let b(n) = 3*f(n) - m(n). Is 7 a factor of b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 - 41*d - 37. Let n be y(13). Suppose 5*x = -11 + n. Let q(s) = s + 10. Calculate the smallest common multiple of x and q(-8).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13566 and 21192486?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11384052 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -10725328.402?\nAnswer: 10725329.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(9)*-3))\/(6*sqrt(8)*2 - sqrt(8)).\nAnswer: -sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l + 333 = -10*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 20 = 4*o, o - 2 - 11 = -2*b. Let u(a) = -a**2 - a**3 + 37 - 3*a**2 - 32 + b*a. Give u(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 1\/182433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((185 - 198) + 5 + (0 - 2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/(84\/224)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huavi. Give prob of sequence ih.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 134*u + 18 = -131*u, 3*u - 138 = 21*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 255, 625, 1147, 1815, 2623, 3565?\nAnswer: 4635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 92.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 11}. Give prob of picking 1 q and 1 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*c = 1412*c + 44394 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 272714 by -26.\nAnswer: -10489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 0, 0.1, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56.74183 + -3.\nAnswer: -59.74183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*r + 4. Let j be 1\/(-4) - 41\/(-4). Let f be r - (-1 - (-26)\/j). Sort f, -5, 0 in descending order.\nAnswer: f, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15185758, -60743044, -136671856, -242972194, -379644058, -546687448, -744102364?\nAnswer: -971888806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 20*z + 21. Let s be r(9). Suppose -304 = -s*p - 2*u, 5*p + 2*u - 506 = -2. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.92 - -0.08. Let g = 4.99999998 - h. What is g rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h + 5*h**2 - 11*h - h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -422, -1699, -3828, -6809?\n\"Answer: -426*x**2 + x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181859 is divided by 716?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*p + 5, 6 = -2*p - 0*p - t. Let y = -809 - -804. What is the third biggest value in 1\/2, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 10:05 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11308\/1285*50\/(-40).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7\/2)*b*(b\/(b*b**(-1\/5)\/b))\/b)**(1\/8))**40 assuming b is positive.\nAnswer: b**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2155\/(-420) + (-4 - -8) and 61\/63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 670777 and 5.\nAnswer: 3353885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49616 and 534258.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (24 - (-18 - -38)) + -17\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**2 + 6*g**2 + 4*g**2 + 4 - 15*g**2 + g**2 - 10*g. Let z = -9 + 16. Let p be k(z). Calculate the highest common divisor of 26 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1228*o + 16.\nAnswer: -1228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let j = k + -4. Let x(w) = w**2 + 9*w + 9. Let h be x(-7). Which is the nearest to 1? (a) j (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {q: 2, g: 1, i: 8, w: 1, r: 2}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -2*m + 13*m. Suppose 0 = -m*q - 0*q + 35. Solve 5*v = q*b + 5, -5*v - 2 + 3 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 827 - 4*m + 3*m + 798*m**2 + 2*m - 394*m**2 - 397*m**2 as n*m + g + q*m**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/1720 and 23\/12212.\nAnswer: 122120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7 + (-390)\/(-91). Is 191*(y + -8)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-23)\/m)**(-2\/53)*m\/m**39*m*(m*(m**(-15)\/m)\/m)\/m)**5 assuming m is positive.\nAnswer: m**(-14070\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2, 5, -1\/4, -1\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + 102*c - 2*c**3 + 382 - 383 to z*c**2 + u*c**3 + n*c + g and give n.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -5*i**4\/4 - i**3\/3 + i - 17. Let c = 0 - 1. Give h(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*x**3 + 174*x**3 + 161*x**3 + 170*x**3 - 671*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 0.8.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 58026.0115.\nAnswer: -58025.8115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 4. Let k be w(2). What is the third derivative of -16*s**5 - 13*s**2 - 63*s**k + 43*s**2 wrt s?\nAnswer: -960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/3745950 and -129\/73450?\nAnswer: 3745950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36325610 by -7265122.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*x**2 + 6*x**2 - 28*x**3 - 8 + 37*x**3 + 7*x**2 wrt x?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7947258*q**2*x + q*x - 2*q - 586*x - 1941 wrt q.\nAnswer: -15894516*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621255.\nAnswer: 5, 324251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 12 = 0, -5*y = -4*j - 80. What is the lowest common multiple of 6 and -1*(j - -2) - 2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 31*z - 378. Determine a(16).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19958425 + 10164.\nAnswer: -19948261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**5\/60 + h**4\/6 - h**3\/6 + 2*h**2. Let v be k(3). Suppose -v*w - 1 = -5. Solve -w*b = 3*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/21 - -13\/21. Let j be ((-18)\/8 + 2)*4. Let n be 1*-2*1\/(-4). Which is the second biggest value? (a) j (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(112))*4 + (4*(sqrt(112) + 0 + sqrt(112) + sqrt(112)))**2) + 5.\nAnswer: -80635 - 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:21 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5 + 1. Let s(p) = x - 3 - 7 - p. Give s(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**5\/60 + 13*t**4\/24 - 13*t**3\/6 - 2242*t**2. Give y(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.9863855 rounded to the nearest integer?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2889085 - 127*m**2 + 2889085.\nAnswer: -127*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 21 = -z + 85, 2*v + 5*z + 233 = 0. Let w = v - -168. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.017, 0.1, 2\/3, 1, 0.5 in increasing order.\nAnswer: -0.017, 0.1, 0.5, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -6 (c) -737 (d) 2\/13 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 1. Let s be k(1). Suppose s = -5*n + 5*a, -3*n + 5*a + 0*a - 10 = 0. Suppose -n*u = -2*t + 38, -t - 34 = -3*t + 3*u. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -6. Let f = x - 2. Let q = -1 + f. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*z + 233, -4*z - h + 223 = -0*h. Let k = 173\/3 - z. Let q = -1 + -1. Put k, 1, q in descending order.\nAnswer: 1, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 2*o, -5*f - 73*o = -64*o + 83 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3 and 17382574?\nAnswer: 39979920.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -221103100233 (base 4) in base 13?\nAnswer: -2320cb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a0c - -1?\nAnswer: -a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7587.53 decades in centuries?\nAnswer: 758.753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*h**2 - 93*h**2 - 84*h**2 + 191*h**2 + 2.\nAnswer: -32*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1011202 (base 3) to base 16\nAnswer: -359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 169*s**6\/120 + 13*s**5\/10 + s**4\/2 + 4*s**3\/3 + 83*s**2. Let j(f) be the first derivative of i(f). Factor j(d).\nAnswer: 3*(13*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 463, 642, 821?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*z + 508, 7*m + 523 = 12*m - z. Let i be (-6)\/(-16) - (-377)\/m. Solve 6*v + 0*v - i*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2446096*j**4\/7 + 12093508008*j**3\/7 - 12137447033*j**2\/7 + 46429608*j\/7 - 44487\/7 = 0.\nAnswer: 3\/1564, 1, 4943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1561111092.\nAnswer: 2, 3, 4261, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 11:04 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -983 + 1609. Let b = -625.99999421 + x. Round b to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a + 7*a - 11*a - 17*a**2 as o + q*a + l*a**2 and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*g - 3 + 9*g - 19*g)*(6 - 1 - 3)*(4 - 1 - 1) in the form l*g + q and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11848*b**2 + 111. Let p(v) = 36*v + 2. Determine p(k(j)).\nAnswer: 426528*j**2 + 3998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 0*c. Suppose 4*v - 18 = -2*v. Suppose 0 = -5*g, -v*d - 3*g = -10 - 5. Solve c = k + 2*h - 13, -3*k - d*h = 2*k - 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -2322321230?\nAnswer: 2322321233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from kukxxxuuxxuxkkxx.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 0.03 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 22.7. Let z = 19.5 - 22. Let n = -2.4 - z. Which is the closest to n? (a) -0.5 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 9*f - 8. Suppose -2*v = -11 + 1. Suppose 0 = -j + 5*l + 18, -v*j - 4*l = l + 60. Is 4 a factor of r(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-3)\/(-1)))\/(2\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87*q**2 + 68886*q - 14256.\nAnswer: 3*(q + 792)*(29*q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 246*x**4 + 12*x**3 + 163. Let u(p) = 247*p**4 + 14*p**3 + 162. Let a(s) = -7*l(s) + 6*u(s). Differentiate a(r) wrt r.\nAnswer: -960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 31 in descending order.\nAnswer: 31, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5387*b + 409426. Let a be y(-76). Suppose -44 + 40\/11*l**2 + a*l + 2\/11*l**3 = 0. What is l?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 1252827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + -79 - (-1 - -11 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(52)*2 + -2.\nAnswer: -2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(7)*2 + sqrt(10))\/(sqrt(40)\/sqrt(200)) - (-1 + (-2*(sqrt(12)\/sqrt(3) + sqrt(4)))\/(sqrt(2) - 6*sqrt(8))).\nAnswer: 1 + 161*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.5372 - -25.53. Let m = -1 + -1. Let o = m - s. Round o to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2702 - -2705. What is the nearest to 2 in f, -4, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/5)*d*d*(d\/d**(-6))\/d)\/(d**(1\/3)*((d\/(d\/d**(-1\/4)*d))\/d)\/d) assuming d is positive.\nAnswer: d**(703\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-136)*(-44)\/3.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 5*i + 2*f, 4*i + i = 5*f - 40. Find the common denominator of (-53)\/154 - 16\/(-28) and (-1 + 6)\/(i\/(-46)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**2 + 22. Determine g(3).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3873 (base 13) to base 11\nAnswer: 6047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.7136 milliseconds in seconds?\nAnswer: 0.2817136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - s = 4*s + 16, 4*o - 40 = -4*s for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2313, 0, 4 in ascending order.\nAnswer: -2313, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7705426373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2542552 (base 7) to base 2.\nAnswer: -1010000100010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(110)\/sqrt(5))\/sqrt(11) - (sqrt(2) + (sqrt(200)*3 - sqrt(200)))**2 - ((sqrt(64)\/sqrt(2) + 2)**2 + 3)).\nAnswer: 60*sqrt(2) + 3684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 390855\/(-137625)*50\/2?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8583\/2 - -4298. Suppose -7\/2*w - p*w**3 - 2*w**4 - 1\/2 - 15\/2*w**2 = 0. What is w?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2934*b**2 + 15*b**3 + 5305*b + 2704*b**2 - 9903*b**2 + 8*b**3 - 3*b**3 - 1060.\nAnswer: 5*(b - 212)*(b - 1)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*t - 7 + 14)*(-3 + 0 + 1) to b + d*t and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 16*w**2 - 25*w - 3. Let x(d) = 5*d**2 + d - 1. Let z(u) = o(u) - 3*x(u). Let g(t) = -8*t**2. Calculate z(g(p)).\nAnswer: 64*p**4 + 224*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2. Let y(q) = -q**2 - 7*q + 4. Let j be y(-7). Let d(l) = 3*l + j*l - 3*l - l. Give g(d(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {e: 3, l: 3, j: 3, x: 1, m: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - g)*(10 - 16 - 23)*(-2 - 2 + 3).\nAnswer: 29*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -198*k + 1767. Determine t(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**7\/210 + g**5\/4 - 85*g**3\/3 + 580*g**2. What is the first derivative of i(s) wrt s?\nAnswer: 4*s**3 + 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**3*i**3 + 326*d**3*i - 1437*d**3 + 30*d**2*i**3 - d**2 - d*i**2 + d*i - d + 1541*i**2 wrt d?\nAnswer: -18*i**3 + 1956*i - 8622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1900) + 3) - (sqrt(1900)*-1*3 + sqrt(1900))**2)*3.\nAnswer: -22818 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111010001100010011 (base 2) in base 9?\nAnswer: -1382131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 92912.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - n - 26, 3*n - 27 = -30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + -8 + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 28*w**2 + 40*w - 29. Let b be k(-23). Let a = b + -706. List the prime factors of a.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-44))\/(600\/(-3200)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -8\/11 (b) -9 (c) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21054 (base 6) to base 16\nAnswer: b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.582 - -2.5. Let l = -0.5 + 0.4. Let h = l - d. Round h to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 6.92. Let l = t - 0.0811. Round l to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1040 and 57\/9366760.\nAnswer: 18733520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 228527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from kzkk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2085493 - -14598456\/7. Solve w*q**3 + 1767\/7*q - 27*q**2 + 361\/7 = 0.\nAnswer: -1\/5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 752 + -3011\/4. Let q = -101.8 - -9.8. What is the third biggest value in b, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)*s)**(-2\/9)\/((s*s\/s**(-2\/9)*s*s)\/s**(1\/7)) assuming s is positive.\nAnswer: s**(-799\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 11*j + 14. Let i = 49 - 61. Let h be c(i). Factor -d**2 + 8 - 8 - 25*d - 4*d**h.\nAnswer: -5*d*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -644. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9639857294 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 45148, 90299, 135450, 180601?\n\"Answer: 45151*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -17. Let y = k - 8. Let w = 0 + y. Sort -1, 1\/2, w in decreasing order.\nAnswer: 1\/2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {n: 4, g: 1, h: 1, x: 2, d: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332900 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -14761 smaller than -13759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -325032 - -1154524. Let q = s + -390492. What is q rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 10*c**2 + 12*c - 4. Let b be w(11). Let q = b - 3. Suppose o + y - 8 = 0, o + q*y - 14 = 3*o. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 9*t**2 + 10*t - 11. Let z(f) = 3*f. Let a be z(1). Let k be 3 - -3 - (1 - a). What are the prime factors of g(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 3:42 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1, 0, -2, -7.\nAnswer: -7, -2, -1, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -82544*n**2. Let i(s) = 2*s. Give i(f(v)).\nAnswer: -165088*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by (270\/(-15) - -17)*(42\/(-2) - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 117056?\nAnswer: 1287616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 554.7285 months in decades?\nAnswer: 4.6227375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000683 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 8*q**2 - 1. Let l(k) be the first derivative of k**3\/3 + 15. Calculate l(u(t)).\nAnswer: 256*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120221200 (base 3) to base 8.\nAnswer: 26554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = -5. Suppose -16 = 4*f, -5*f - 92 = -i*j + j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 + -1100?\nAnswer: -101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -102*n - 65. Is x(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 11, 7\/6, 0, -5\/4 in decreasing order.\nAnswer: 11, 7\/6, 0, -0.2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z**(-16)\/z))\/z)*z*z\/(z\/(z**(-6)\/z*z)*z))\/((z**(-13)\/z)\/(z\/(z*z**(7\/4)*z))) assuming z is positive.\nAnswer: z**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 1, p: 14}. Give prob of picking 2 p and 1 b.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**4 + 1759684*x**3 + 387055693394*x**2 - 2322381672048*x + 3483596263968 = 0.\nAnswer: -439924, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*q + 50 = 0, 3*v - 27 = v - 3*q for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14152010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 1 + 0)*(w + 3*w + w) + w - 1 + 1 + (3*w - 4*w - w)*(-2 + 5 + 0))*(-7*w + 5 - 5) to l + i*w**2 + d*w and give i.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 10 = -5*o, 0 - 2 = 3*o + d. Suppose o*q + 425 = 5*q. What is the greatest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 + q - 3*q**3 + 152 + 348*q**2 - 350*q**2 to r*q**3 + b + y*q + h*q**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1))**(-1))**43\/((n**(2\/7))**24\/(n**(2\/7))**(-26)) assuming n is positive.\nAnswer: n**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*l + 2259630 = 2259586, -5*l = 3*n - 55 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79150.9 - 71333. Let q = 7688.787 - n. Let d = q + 129. What is d rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/340 and -7\/23850?\nAnswer: 810900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 346 and -0.077.\nAnswer: -26.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1078834 by -185.\nAnswer: 1078834\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 17 = 7*r - 4*r, 0 = -2*j - r - 9. Which is greater: -6\/11 or j?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72492050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1091 + 1868. Is 75 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 146, 60, -186, -634, -1326?\nAnswer: -2304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.023 - -23.049986. Round w to four dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, n: 7, h: 4, t: 1, v: 2}. What is prob of picking 2 v, 1 t, and 1 n?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 + 849 + 400 = 65*p. Solve 219 = -49*j + p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from aaooooooooa.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 + 4*o - 6*o + 239*o**4 - 388*o**4 to r*o**3 + a*o**2 + l + b*o**4 + p*o and give b.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 5\/3*f**3 + 0*f - 15\/2*f**2 - 52. Factor r(z).\nAnswer: 5*z*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*q + 23. What is the first derivative of q*c + 57*c**3 - 98 + 0*c - 3*c + 66 wrt c?\nAnswer: 171*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**22)**29\/(p\/((p*p*p\/(p\/p**(-2\/9)))\/p)*(p**(-1\/8)*p*p)\/p*p*(p\/p**(-2\/19))\/p*p*p**(-2\/5)) assuming p is positive.\nAnswer: p**(4344751\/6840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, m: 1, a: 6, w: 3, f: 6}. Give prob of sequence fad.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 16 = -0*w - 5*w, 0 = -4*p + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10000011111111111?\nAnswer: -10000011111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4517 + -45.5583. What is w rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v - 30. Let z be a(7). Suppose -l + 25424004 = z*l. Suppose 1717334 = 4*j + l. Round j to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 4*p = -20, -y + 6 = 3*p - 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/90 - l**4\/54 - 5*l**3\/27 - l**2\/3 + 12*l. Factor r(y).\nAnswer: 2*(y - 3)*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/10 of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 948*g**3 + 1625*g**2 wrt g?\nAnswer: 5688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3670 + 3394. Which is greater: -278 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 4. Let d be r(4). Suppose 5*i = -d*i. Calculate the remainder when 16 is divided by (2 + (-1 - i))*9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/6, 675.7, 5 in ascending order.\nAnswer: -1\/6, 0.4, 5, 675.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*n = 5, -4*o + 4*n = -29 - 31. Let j(b) be the second derivative of b**4\/4 + 11*b**3\/6 - 17*b**2\/2 - 123*b. Is j(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzff when four letters picked without replacement from znfhfjw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 - 11?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j - 33. Let d be r(-14). Let t = d + 83. Let q = t + 1. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1424 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 - 88*f. Let r(i) = 19940 - 9978 - 166*i - 9962. What is d(r(q))?\nAnswer: -55112*q**2 + 14608*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1512845, 3025624, 4538359, 6051056, 7563721, 9076360?\nAnswer: 10588979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52167, -104352, -156537, -208722?\n\"Answer: -52185*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 12*p**2 + 7*p - 2. Let t be f(-13). Let l = -72 + t. Solve -l*o - 5 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*i. Let t = -6 + 4. Let u = t + 1.8. Which is the closest to 1? (a) u (b) -2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22990 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -197?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(24\/4) - 1195\/(-15). Suppose 4*k + 5 = 5*g, -5*g + 4 + 1 = 4*k. Suppose -2*x + 242 + h = k. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 426101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + q + 4. Let x(c) = c**2 + c. Suppose 8*n + 19*n = -54. Determine n*x(b) + i(b).\nAnswer: b**2 - b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4164092.27907 - -4164072. Let t = 12.27846 + g. Let b = t - -8. Round b to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-13)\/3)\/((-6)\/18). Let v = l + -11. Solve 0 = v*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/1 - -3)*30\/4?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2044 - -120600\/59. Let x = j - -39\/295. Which is the closest to -2? (a) 1 (b) 7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-56)\/(-196) - (-1056)\/(-21). Are -52 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-7 + 1688)*-8*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4)**2 assuming l is positive.\nAnswer: l**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246705238.\nAnswer: 2, 13, 9488663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -7. What is the biggest value in 3, 0.83, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 321 = -843. Find the common denominator of i\/(-44)*(-4)\/(-6) and (462\/20)\/((-24)\/(-10)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -957 + 1544. Let a = 63 + c. Suppose 6*b = b + a. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1.38751\nAnswer: -0.416253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -10. Suppose 2*k - 4*k = y*g - 2, -4*k = -2*g + 14. Suppose 20 + 118 = g*l. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*c - 489 + 153 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - -10302?\nAnswer: 10323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/3)\/((-1)\/25). Solve -y + 3*c = y + 18, -4*c + g = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x - 51*x + 1274 = 0. What are the prime factors of x?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) - (-507)\/27. Suppose -3*n = -5*v + 10, 3*v - 5 = n + 1. Sort -0.5, r, n.\nAnswer: -0.5, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*x + 409*x**2 - 3087*x**2 - 88 - 22*x - 37*x**2 - 449*x**2 wrt x.\nAnswer: -6328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-8))\/5*5084\/82?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 22777975.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 2. Suppose 4*w + w + 20 = 0. Let o be p(w). Let j = -1 + o. Sort j, -0.1, -0.5.\nAnswer: -0.5, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 75395.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvkykyykyk. Give prob of picking 2 y.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5535106 divided by -5535106\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**2 + 2*q**2 + 0*q**2 + (0 - 4 + 2)*(0 + 0 + q**2) to the form z*q + d + x*q**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 329, -3, 5, 0, -20 in decreasing order.\nAnswer: 329, 5, 3, 0, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011848 rounded to 5 dps?\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/349 (b) -1\/8 (c) 271 (d) 22 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**2*z**2 + 3647*s*z - 27*s + 149354*z**2 - 34*z with respect to s.\nAnswer: -4*s*z**2 + 3647*z - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**4\/24 + v**3\/3 - 10*v**2 + 19*v. Let x(f) be the first derivative of r(f). Calculate x(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120 + -117. What is the closest to 2\/3 in x, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-10))\/(1\/(-14)). Suppose v + 1 = k. Let g(y) = -y**2 - 5*y - 4. Let h be g(-3). Solve -c = -f - 9, -h*f + c - k = 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -10*f**3 - 4*f**2 - 6*f + 4. What is the thousands digit of o(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 15. Suppose -z - 125 = -r*s - 21, -4*z = -4. Let n = -566 - -569. What is the highest common divisor of n and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30 - (0 + 0 + 0). Suppose -z + 1 = r, 0 = -2*z + z - 4*r - 8. Let l be (-100)\/m*(-6)\/z. Solve f = 0, 0 = x + 2*x - l*f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119718 is divided by 14677?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5 + 225*r**3 - 750*r**2.\nAnswer: -3*r**2*(r - 5)**2*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/180750 and -97\/3372.\nAnswer: 101581500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnb when three letters picked without replacement from kkkhpbhkkbkbnhhpkkn.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 35*l**2 + 64*l + 73. Let d be z(33). Solve -23 = 8*y - d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + 2*l**4 - 159 + 188 - l**2 + l**4 - l - l**4 in the form k*l**4 + n + v*l**3 + m*l**2 + o*l and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 57*i - 13. Let a(q) = -2*q**2 + q - 7. Calculate 2*a(y) - h(y).\nAnswer: -2*y**2 - 55*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 11 - x**2 + 7*x + 0 + x. Let q be y(-9). Let r(u) = u**2 - 2*u - 1. Let z be r(q). Which is greater: z or 6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 6 - 61. Let o = 6 + u. Let v be 22\/(-80) + (-2)\/(-5). What is the second biggest value in 2, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((4\/2)\/(-2))\/(-23 - 55638\/(-2420)). What is the greatest common factor of n and 7810?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002749 to four decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzszzkksskkzz. Give prob of sequence szzk.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 30 - 48. Suppose -r = o - 52, 2*o = -p*o + 5*r + 181. Calculate the highest common factor of 49 and o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18757 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 3*q**2 + q + 3. Let y be b(-3). Suppose y = 4*l - 1315 - 873. Suppose 4*p + 5*u = l, -u = -2*p - 4*u + 275. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -3\/362?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 294 = -21558. Let u = -29316 - n. Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 7:51 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(2\/11 - (-369)\/(-396)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -463*j**4\/6 - 154*j**3 + 2*j**2\/3 = 0.\nAnswer: -2, 0, 2\/463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 2*b - 7. Let a be o(5). Let n = a + -10. Calculate the highest common divisor of 12 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(1\/3). Suppose -5*u = 2*j + 3, -3*u = -2*u + 4*j - 3. What is the nearest to u in 0.2, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1993 (b) 0 (c) -5 (d) -1\/4 (e) 1\/4 (f) 0.258 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-11)*((-6)\/(-18))\/(60\/120)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*b - 1. Let y be 2 + -1 - 4\/b. What is the units digit of ((-4)\/y - 2)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 9 + 3. Solve 4*f = 3*d - 23, -5*f - m = -5*d + 18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 65 = -27*v - 9. Solve 12 = 4*f - 6*i + 10*i, -5*i = -v*f + 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w - 28*w = 92. Let z be (8\/(-3) - -1)*-3. Put z, w, -1 in descending order.\nAnswer: z, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o + 6. Let p(d) = -d - 1. Let b(s) = -h(s) - 10*p(s). Let t = 27 + -19. Let w be 10\/t*1*-4. Let q(a) = -a + 2. What is w*q(l) + 3*b(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968 = -166*g + 78*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 4951 + 9*p - p**2 - 3*p.\nAnswer: -p**2 - 4951","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 398327429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 25040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1424230 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - n = -66. Let w be 1*2*(3 - 1). Suppose -j - 2*j = 4*z - w, -5*z = -3*j + 22. Solve 4*k = -j*x - 4, 3*x + 9 = -n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 7*l**2 + 6*l**2 + l**2.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2. Let b be t(-1). Let w be 4*-19*(b - 0). List the prime factors of (-3 + w\/(-12))*-3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 1. Let j(z) = -z**2 + 6*z + 4. Let w(q) = 3*h(q) + j(q). Let p be w(2). Let i be 9 - (1\/1 - 0). Solve -i = -p*r - r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**3\/6 + 2*l**2 + 1328*l. Calculate u(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1113 - -22230110?\nAnswer: 22231223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 738435111 to the nearest integer?\nAnswer: 27174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*3)**2*-2.\nAnswer: -5400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -33126*p**3 - 2*p**2 - 2*p - 4. Let v be n(-2). What is v rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/20)\/((-2)\/30). Let s be (-4)\/i - 4\/(-18). Let v = -1505.2 - -1505. Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 6.5. Let h = d - 6. Let x(s) = s**2 + 12*s - 4. Let f be x(-12). Sort f, 1, h in descending order.\nAnswer: 1, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31823 divided by 6?\nAnswer: 31823\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 172533034 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 560, 1633, 3580, 6659?\nAnswer: 11128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(22\/4))\/((-5)\/(-5))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5103 and 0.07?\nAnswer: 0.4403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3239 + 142681473.2?\nAnswer: 142684712.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*g - 5*x, 2*x + 3 = -4*g + 23. Let v(d) = g*d + 5*d - 6*d - d. Let h(r) = 22*r. What is v(h(z))?\nAnswer: 88*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 10*g**2 + 4. Let r be t(9). Let j be (-13)\/39 - r\/(-3). Suppose 25*v + 753 = j*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3159\/4 + (-9)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let k(r) = -25*r. Let c(m) = -13*m. Let l(o) = 13*c(o) - 6*k(o). Determine u(l(y)).\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 535, -212, -1.\nAnswer: -212, -1, 3, 535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 15\/((-480)\/136)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9306726t to nanograms.\nAnswer: 930672600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(-1*(-1*sqrt(2) - sqrt(2))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 59021, 118047, 177107, 236219, 295401?\n\"Answer: 3*h**3 - h**2 + 59008*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-18))\/(429\/27 - 16) + -8?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 745943061717 and -93.\nAnswer: 745943061624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*p + 1 + (2*p - 3*p - p)*(1 + 0 - 3) + 5854*p + 9159007 - 9159007 to the form g*p + s and give g.\nAnswer: 5860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 11:45 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 2*d + 4. Let h be r(3). Let n = h + -4. Let v = -2 - -2. Solve v*s - 5*s + 2*k - 7 = 0, -n*k = 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -2401?\nAnswer: 2353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**6\/270 + s**5\/45 + 2*s**3\/3 + 6. Let w(n) be the third derivative of t(n). Let w(v) = 0. Calculate v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 421119, 841971, 1262821, 1683669, 2104515, 2525359, 2946201?\nAnswer: 3367041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12629 * 3.6617.\nAnswer: 0.462436093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o - 3. Let v be b(-3). Suppose -716 = c - 719. Calculate the highest common factor of c and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**7))\/(c\/(c\/(((c\/(c\/(c**5\/c)))\/c)\/c)))*c*c**1*c**(-1\/7))**(-36) assuming c is positive.\nAnswer: c**(1800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plkf when four letters picked without replacement from lfklpklwl?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/7 or 19.3?\nAnswer: 19.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4985 - 2*k - 4985.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19b892 (base 14) to base 2.\nAnswer: 11011111011111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70676016 and 1392.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/7 + 2\/7. Let y = -11077 + 11077. Put -2, 4\/7, y, a in ascending order.\nAnswer: -2, a, y, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -29308 - 11556. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*l + 1446 + 3179 = 1009 + 4 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c**2 - c + 1. Let z(q) = -10*q**3 + 12*q**2 + 12*q - 12. Let l = 50 - 16. Let f = 14 + -4. Suppose f = -2*h + l. Determine h*m(n) + z(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1938 - -1952. What is the remainder when 615 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/9 + 120*d**3 + 24300*d**2 + 2187000*d + 73811250 = 0.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*c + 3084 - 2767 = -5920 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 + 614*p**2\/7 - 6720*p.\nAnswer: -2*p*(p - 160)*(p - 147)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(1\/5)*x)\/x)\/x**(-4\/7))**(-37) assuming x is positive.\nAnswer: x**(-3589\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -86*m. Let l(z) = -z. Give -b(t) - 215*l(t).\nAnswer: 301*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 322*y + 2904. Let i be p(-9). Calculate the greatest common factor of 27708 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -122471 and -122474 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 7054*g - 364108. Calculate i(52).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 r, and 1 l when four letters picked without replacement from {l: 1, r: 2, v: 1, m: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2. Let w(c) = -5*c - 8. Let m(v) = -2*v - 3. Suppose -f = 3*z - 4, -3*z - 2*f = -0*f + 1. Let y(k) = z*w(k) - 8*m(k). What is d(y(j))?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 + 1707*q**4 - 1703*q**3 - 5123*q**2 + 8532*q - 3412.\nAnswer: -(q - 1706)*(q - 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1596202198?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**2*v**4 - 2*o**2*v**2 + 43*o**2*v + 1160166*o*v**4 + 378*o*v - v**2 - 2*v wrt v?\nAnswer: 48*o**2*v + 27843984*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**4 - 8*h**4 + 17*h**4 + (-h - 2*h + 2*h)*(h**3 + h**3 - h**3) + 6*h**4 + 13*h - 13*h to the form p*h + l*h**2 + j*h**4 + b + s*h**3 and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 - b**2 + 2*b**2)*(-327 + 105 - 197).\nAnswer: 838*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23872\/3145 + -6\/629. What is the common denominator of w and 1\/1 - 377\/(-39)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -454 (base 12) to base 14\nAnswer: -33a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/7*2499\/(-153).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2586 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*u**3 - a*u - 114*u**3 + 6683*u**2 wrt u.\nAnswer: 12*a - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/8))**(-41)*m*m*m**(-6\/5)\/m*m*m*m*m**(-3\/4) assuming m is positive.\nAnswer: m**(-1763\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 11*f + 26. Let t be o(8). Suppose n - t = -i - 3, 5*i = -3*n - 3. Solve -5*j - 4*p - 24 = -i*p, 0 = 5*p + 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**5 + n**4 + n**3 + n**2 + 4*n + 1. Let g(a) = -a**4 - a**3 - a**2 - a - 1. Let w(q) = -3*g(q) - 3*r(q). Find the second derivative of w(c) wrt c.\nAnswer: -180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/60 - 5*d**4\/24 - d**3\/6 - 3*d**2. Let c be i(4). Calculate the remainder when 18 is divided by (1 + c)\/(6\/(-15)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6117*c - 11*c**2 + 14*c**2 + 24 + 3*c**2 - 6118*c. Let v(z) = z**2 - 4*z. Let d be v(5). What is the tens digit of i(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 + -51. Suppose -2*v - 20 = -k. Let o = v + -19. Let m(a) = -14*a**2 - a. Give m(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*44435.\nAnswer: -8887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169*b*n**5 - 30984988*b*n**2 - 356777*n**5 + 8*n**2 wrt n.\nAnswer: 10140*b*n**2 - 21406620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 393.1041 + -393. Round j to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1482*v - 4. Let d(i) = -819544*i + 2211. Calculate -2211*b(z) - 4*d(z).\nAnswer: 1474*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 14?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 239 - 162. Suppose -2*r + 36 + 35 = 5*t, -2*t + r = -32. Suppose u = 5*p + g + 27, 3*g + t = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(36\/5)\/(p**(-5)\/(p\/p**0*p)) assuming p is positive.\nAnswer: p**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/6*10\/(-25). Solve -5*q + 18 = y - 8*q, 12 = -y - s*q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 2 - 18\/9) + ((-79605)\/638)\/(-61)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28116394.\nAnswer: 2, 53, 265249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.93, 2\/19, -2.5.\nAnswer: -2.5, 2\/19, 0.93, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 - 157 + 3*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103580.\nAnswer: 2, 5, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(-3)*(-16)\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88324.39 meters in micrometers?\nAnswer: 88324390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y. Let s(c) = -36 + 68 - 32 + 18*c. Calculate h(s(u)).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*p - 2105, -4*x + 5*p + 0*p = 8405. Round x to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 4\/9 (b) 124\/7 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i - 51. What is the hundreds digit of p(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 841*o*s**2*u - 12*o*s*u - 47*s**2*u - 17*s**2 + 4*s*u - 5*s - 1 with respect to o.\nAnswer: 841*s**2*u - 12*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4048546.\nAnswer: 2, 173, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 63 and -1214 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*h - 1251 - 801 = -292 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82197*q*w**3 + 5735*q*w**2 - 2*q*w + 2*q + 3*w**2 + 1 wrt w?\nAnswer: 493182*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -412*y + 24. Let o(t) = 83*t - 5. Let r(d) = -3*n(d) - 14*o(d). Let g(w) = -w**2. Give g(r(s)).\nAnswer: -5476*s**2 + 296*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265139, -530320, -795501, -1060682, -1325863?\nAnswer: -1591044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2. Suppose 157 = 17*q + 4. Let y(u) = -7*u + 22*u - 4*u - q*u + 0*u. Calculate i(y(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**6\/15 + 2*f**5\/5 - f**4\/3 - 4*f**3\/3 + 3*f**2 + 41*f. Find n, given that j(n) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - -4) + (1 - 2). Suppose -n + 3*n - p - 416 = 0, 4*p + r = 0. Suppose -f + n = 2*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 119 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -0.011, -8\/937 in descending order.\nAnswer: -8\/937, -0.011, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -749 by 60.\nAnswer: -749\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, v: 7, q: 1, a: 6, n: 4}. Give prob of picking 2 p and 1 v.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14178300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -665*v**2 - 1390*v wrt v?\nAnswer: -1330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 3*f + 42, 135 - 62 = f + 55 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j + 2. Let m(p) be the third derivative of 29*p**4\/12 - 5*p**3\/3 + 141*p**2. Let t(r) = -5*f(r) - m(r). Let d(k) = 2*k**2. Give d(t(b)).\nAnswer: 3698*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x + 30*x - 3944 = 0. What is the remainder when 370 is divided by x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 8*g - 6*g - 2*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16193 less than 15852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321 = 49*u - 247 - 69 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -4*h**3 - 7. Let m(g) = -g. Give s(m(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/4)\/((-3)\/(-18)). Calculate the lowest common multiple of 20 and 27\/p + (-23)\/5 - -12.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 505 - 492. Let h be 144\/56 - (-10 + y). Let q = -1 - 2. What is the closest to 10 in 1\/3, q, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 71222923 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.02 - 60.02. Let r = b - -105.9. Let d = r - 47. What is the nearest to 0 in d, 4, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(-2*(sqrt(200) + -5 + sqrt(200) + (sqrt(200) + -1 - sqrt(200))**2) + (sqrt(200) + (sqrt(200) - -2*sqrt(200)) + -3)**2 + 5) + -4.\nAnswer: -3222 + 280*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.079?\nAnswer: 0.0316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydap when four letters picked without replacement from {d: 2, a: 8, y: 1, h: 4, p: 1}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/285 and -43\/760.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, -3, 0, -13 in descending order.\nAnswer: 0, -1\/13, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 135 = 22*i. Let u(y) = 2*y + 6. Let x(j) = -6*j - 18. Let w(m) = -17*u(m) - 6*x(m). Calculate the remainder when i is divided by w(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -54. Suppose g + c = -5*z + 31, g + 2*z - 14 = 0. Differentiate 16 + 7*q + 3*q - g*q + 5*q with respect to q.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 0*c**4 + 17 - 91\/5*c**5 + 0*c**3 - 3\/2*c**2 - 22*c. Find the second derivative of d(i) wrt i.\nAnswer: -1092*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(44\/10)*(7212 - -1). Let r = l - 1638. What is the common denominator of -43\/36 and r?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**2 + 18138464*p + 108830856 = 0.\nAnswer: -6, 9069238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f + 238. Let v(u) = -u - 6. Let s be v(-9). Suppose s*q - 34 = -g + 7*q, 0 = g + 2*q - 28. What is the remainder when f is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = -3. Suppose -2*d = x*d + 3*h - 25, -3*d + 21 = 3*h. Factor 7*l + 4*l**d + 2*l**3 + 1 + 4*l**2 + 11*l**2 + 11*l**3.\nAnswer: (l + 1)**3*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22675702 and 2394.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 2*k - 82. Let z be f(-8). Is z smaller than 236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5152 * -28.54\nAnswer: -147038.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -12 - 2 - 7*m + 50*m + 58*m. Is w(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**3\/2 - 3365*v**2\/2 - 205500*v + 2703960 = 0?\nAnswer: -116, 12, 777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*m)*(-2*m + 0*m + 0*m) - 3*m**2 + 4*m**2 - 3*m**2 - 4*m**2 + 3*m**2 + 2*m**2)*(3 - 4 - 1)*(-5 + 8 + 5).\nAnswer: 80*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 117601.575 minus 17?\nAnswer: 117584.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-191178)\/198 + (-18)\/(-33). Let t = -580 - z. List the prime factors of t.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -98 + 38. Let w(r) = 24 + 37 - c - 12*r + 2*r**2 - r**2. What is the units digit of w(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 + 26*r**2 - 19*r**2 - 7*r**2 + 175*r as q*r**2 + d + t*r**3 + v*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w + 24*w = 13561 - 19001 for w.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236 + 2*j**3 - 234 - 346 - 96.\nAnswer: 2*j**3 - 912","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15695 - 8300. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14517427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*r + 258 - 258 as j*r + q and give j.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 7*n - 2*w + 14, -3*n = 4*w - 32. Let r(m) = -m + 1. Let z(c) = 6*c**2 - 4*c + 7. Let p(u) = n*r(u) - z(u). Let o(l) = -l. Determine o(p(y)).\nAnswer: 6*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2103)\/4*1008\/(-54). Is q greater than 9813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a factor of 351498891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/(11088\/(-2640)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 34481.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -23*t**3 + 3*t + 1. Let i be (60\/(-105))\/(2\/7). Is n(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 3 + 1 - 3 + 3 - 2 - 1 + 2 + (2 - 2 - 2)*(0 - 3 + 4))*(496102*b - 515435*b + 2 - 2) as s + f*b and give f.\nAnswer: 115998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59557979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) 95\/343 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*s + 0 + 2*s**4 - 2\/3*s**2 + 8\/3*s**3 = 0. Calculate s.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5381159*m + 33728773?\nAnswer: -5381159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 7:53 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - n + 1. Let s be q(0). Let z(a) = s + 0*a + 0*a + 15*a**3. Is z(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 20 + 0 = 5*g, 0 = g - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122625 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564 + 2316 = -56*y - 4*o, -2*y - 4*o - 78 = 0 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 17*s = 2. Find the third derivative of -44*g**2 - g**3 - 53*g**4 - s*g**3 - 19*g**2 + 52*g**4 wrt g.\nAnswer: -24*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 141c + c?\nAnswer: 142b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**3 + 1812108*o**2 - 203*o + 28898?\nAnswer: 18*o + 3624216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1252512 - 105?\nAnswer: 1252403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 32 + 47. What is the nearest to -0.1 in 0.4, r, 52?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -4\/9*x**3 + 2\/9*x**4 - 1\/30*x**5 + 0 + 0*x**2 - 6*x. Factor q(k).\nAnswer: -2*k*(k - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 + 28341*z**3 + z**2 - 6*z**2.\nAnswer: 28341*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000256205488 to 6 dps.\nAnswer: 0.000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(55) - sqrt(495)*1)*5)\/((sqrt(891) - 4*sqrt(891))*4).\nAnswer: 5*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f + 27. Determine k(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6936103747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175\/3, -8542, -5\/3 in ascending order.\nAnswer: -8542, -5\/3, 175\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r**2 - 2*r - 1. Let g be u(-1). Let f(k) = 7 + 10*k**2 - 5 - 2*k**3 + k**3 + 11*k + 11. Let c be f(g). Solve -53 = -4*m - 4*o - c, o = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852*x = 29867 - 34979 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9653 and 1.\nAnswer: -9653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*n = -240*n - 900. Solve -17*o = -n*o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194 + -580\/3. Which is the closest to -1? (a) 0.2 (b) -4 (c) f (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 13 + 15 = 4*g, g + 3*b = 18. Suppose -2*k = j - 2, -2*k = -2*j + 4 + g. Suppose 0 = u - 0*u - 18. Calculate the lowest common multiple of u and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*(-2)\/4 - 3 - -1. Suppose -5*y = -2*z - 15, 2*z + 4*y - 46 = -16. Determine q, given that -z*q + 0 + 3*q + 2*q**d + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**3*n**3 + 674*f**3*n**2 + 30424*f**2*n**3 + 48*f**2*n - n**3 wrt n?\nAnswer: -12*f**3 + 182544*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 271 - 138 = -263. Solve -159*m = -168*m + o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 15, z: 5}. What is prob of picking 1 z and 3 n?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psmppspmppppeapps. What is prob of picking 2 p?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 + (-935)\/(-15). Do 62 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.5 + 12.4. Which is the closest to 0? (a) 2 (b) x (c) 5 (d) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 3)*(k + 5*k - 5*k) + (-2 + 1 + 3)*(-4*k + 2*k + 0*k)*(-8 - 3 + 5) in the form s + q*k and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**8*g**(-11\/5)*(g**9\/g)\/(g**21*g) assuming g is positive.\nAnswer: g**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3628683 divided by -3\nAnswer: -1209561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.161 take away 2532.866167?\nAnswer: -2533.027167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-10) - (-2301)\/(-65). Let s = 37 + o. Is s\/(-2)*(2 - 11770)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-29 - -91)\/(0 + 1\/4)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -28. Suppose -22 = -4*u + b. Let w = 42 - u. What is the greatest common divisor of w and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257 + 256.99991. Round v to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002883 rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 11*a**2 - 23*a + 6. What is f(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 2*f**2 - 21*f + 8. Let n = 165 + -159. Let z be d(n). Calculate the highest common factor of z and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6135171221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 5:24 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + -2*(-15)\/(-50)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4703572 to the power of 1\/2, to the nearest integer?\nAnswer: 2169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q - 35 + 35 + (1 - 4 + 1)*(3*q + 3*q - 4*q) + (-3*q + 4*q - 2*q)*(0 - 2 + 4) in the form u*q + w and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -318, -1\/4, -2\/13, 0.2, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11914 or 11923?\nAnswer: 11914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 124*d**4 - 54153*d**5 + 27075*d**5 + 27077*d**5 + 8*d**3 + (-1 + 4 - 5)*(3*d**5 - 4*d**5 + 3*d**5) + d**4 + 2*d**5 - d**4.\nAnswer: -3*d**5 + 124*d**4 + 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1963.04 - 2001. Let i = -0.04 + c. Let q = i - -37. Which is smaller: 0.17 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748004 is divided by 498.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*i - 1027 + 3782 = 0 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**4 + a**4 - 3*a**4)*(121 + 349 + 69).\nAnswer: 1078*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 40*f**2 - 85*f - 47. Let n be y(-42). Does 29 divide (3\/(-9))\/(n\/19140)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) + (-18)\/(-72). Suppose -5*x + 20 + 35 = g. Solve -3*z + 1 + x = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5953 - 16972.\nAnswer: -11019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36219310*h**2 - 86295806 wrt h.\nAnswer: -72438620*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + 0 + 32112\/(-1782))*-11.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35560687*s**4 + 694035193*s.\nAnswer: 426728244*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d**3 - 5*d**2 + 26*d - 24. What are the prime factors of y(6)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 8647*q + 5 - 5.\nAnswer: -8647*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 34065\/44 - 8508\/11. Sort r, -2, 25\/9.\nAnswer: -2, r, 25\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**3*k + 3223*g**2*k + 388*k - 18 wrt g.\nAnswer: 3*g**2*k + 6446*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k. Let r(c) be the second derivative of c**4\/3 + 90*c. Give r(x(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 869, 3451, 7753, 13775?\n\"Answer: 860*w**2 + 2*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75021413\/13921506 + 2\/773417. Find the common denominator of ((-4)\/(-30))\/((-312)\/(-250)) and i.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2252726 and 1448?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16811731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23508, -46992, -70454, -93894?\nAnswer: -117312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a second?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**5\/20 - 3*k**4\/4 - 4*k**3\/3 + 5*k**2\/2 - 44*k. Give i(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/11 (b) -5\/4 (c) 2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 812.4698 and 1?\nAnswer: 811.4698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3060 = 963*h - 177*h + 28380 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 17*a**2 - a - 8. Give x(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1334 + -1331. Let n be 186\/372*10\/d. Find z, given that -1\/6*z**2 + n*z + 0 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let b(y) = 5*y + 1. Let u(q) be the third derivative of -q**4\/4 - q**3\/3 - 2*q**2. Let v(w) = -3*b(w) - 2*u(w). What is -4*c(z) - 2*v(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 3*l**2 + 4*l. Let d(c) = -2*c**3 + 5*c**2 + 8*c. Let s(b) = -6*d(b) + 11*v(b). Suppose s(n) = 0. What is n?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, f: 1, v: 5}. What is prob of picking 4 k?\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p + 23. Let s(l) = 22*l + 91. What is -9*h(d) + 2*s(d)?\nAnswer: -d - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-66 + 33 + -4)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.277488 rounded to 3 dps?\nAnswer: 5.277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -2*h**2 + 2. Suppose 5*q = 194 - 184. Let r(p) = 355*p**q + 354*p**2 - 710*p**2. Give r(y(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -206*a + 4. Suppose -7*m + 25 = -2*m. Suppose 3 = -2*b - m*f + 7, -4*f + 2 = 2*b. Is c(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 225\/105 - 7\/49. Let b(v) = 2*v - 6. Let q be b(5). Put 1, z, q in ascending order.\nAnswer: 1, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -0 - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(5\/7)*w)\/w**(-14))**(1\/19)\/((w*w\/(((w*w**(-4))\/w)\/w)*w)\/(w\/w**6*w)*(w*w\/(w\/(w*w**2)))\/w**(-4)) assuming w is positive.\nAnswer: w**(-2550\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4744 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -5 (c) 1327\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4127, -3850, -3095, -1622, 809, 4438?\nAnswer: 9505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 714\/8 - (-3)\/(-12). Let y = m - 39. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 482\/(-12) - (-2)\/12. Let n be (-16)\/l + 46\/10. Solve 2*i - n*i = 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1425, 3916, 8069, 13884, 21361, 30500, 41301?\n\"Answer: 831*w**2 - 2*w + 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + b - 38 = 0, 2*h + 6695*b - 4 = -0*h - 0*h + 6689*b for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -3 + 0*u**3 + 0*u**2 + 1\/12*u**4 - 5*u. Calculate h(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/((h**5\/h)\/h)))\/((h*h*h**2*h)\/h))\/(h*h**(-2\/7)*h**(3\/7)))**(-2\/37) assuming h is positive.\nAnswer: h**(30\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3*s**4 - 2*h**3*s**2 + 10*h**3*s - 3*h*s**4 - 3*s**3 + 3*s wrt s.\nAnswer: -24*h**3*s - 72*h*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 868 - 2812?\nAnswer: -1d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 500 - -3?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v - 12. Let j be o(-8). Let f = 34 - 30. Suppose 0 = 3*u - f*h - 35, -h - 3*h = j. Sort u, -3, 2 in descending order.\nAnswer: u, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:09 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*x - 830 = -3010, -2*x = 4*l - 2180. Suppose 0 = 3*v + 3*p - 1665, 0 = -v + 8*p - 7*p + l. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - -5 - 0\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 722.01199 rounded to one decimal place?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 10*l**2 - 11*l - 5. Let q be i(-8). Let p be (-24)\/q - (-2)\/(-6). Let 0 + p*k - 1\/5*k**2 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**5 + 90*y**3 - 160*y**2 + 75*y = 0.\nAnswer: -5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -590*d**3 - 116*d**2 + 662*d + 92. Let p(j) = -945*j**3 - 185*j**2 + 1059*j + 147. Let o(k) = -12*p(k) + 19*x(k). What is f in o(f) = 0?\nAnswer: -1, -8\/65, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208803?\nAnswer: 3, 7, 61, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 5*v - 1, 1 = -67*u + 65*u - 3*v. Let y be -3 - 0\/1*1. Sort y, 1, u in ascending order.\nAnswer: y, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22706050?\nAnswer: 2, 5, 17, 26713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 4. What is the remainder when h is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742802219.\nAnswer: 15559, 47741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.076 * -50260\nAnswer: 3819.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.4 - -17.4. Let w = 140 + -138. Which is the closest to u? (a) -1 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c - c)*((-c - 2*c + 4*c)*(2 - 1 - 3) - 6*c - c + 2 - c).\nAnswer: -20*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -5 + -7 + 7 + 28\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1497 + -1497. Which is the nearest to y? (a) 1 (b) -0.1 (c) 0.2 (d) -124.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80088, -80090, -80098, -80112?\n\"Answer: -3*s**2 + 7*s - 80092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 7*r + 5 = 0. Let z(k) = -k**2 + 17*k + 12. Is z(r) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 11*z**2 - 11*z + 2. Let a(d) = 4*d - 10. Let q be a(0). Let s be c(q). What is the highest common factor of 24 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 144?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**7\/14 - 2*s**3\/3 - 5*s**2\/2 - 3. Let v(o) be the second derivative of p(o). What is the first derivative of v(n) wrt n?\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 8 - 2)*(121*i**3 - 522*i**3 - 344*i**3).\nAnswer: 3725*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Suppose 4*i = i + 15. Suppose i*s = s + 8. Let m(q) = 34*q - 34*q - 21*q**s. What is m(h(r))?\nAnswer: -21*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-132))\/((246\/60)\/41)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 89*z - 106. Is 3 a factor of n(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 246627 = -91*j + 22116. What are the prime factors of j?\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-16)\/(-33)*(-27)\/(-6) and 38?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 154*n**2 + 72*n - 11080. What is j(154)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -16.4. Let v = -13.7 - t. Let q = -85 - -253\/3. Which is the closest to q? (a) 1\/3 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5143*v**2 - 215*v**3 - 5143*v**2 + 170*v**3.\nAnswer: -45*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20*q**2 - 45*q**2 - 2*q**3 + 12*q**2 + 3 + 11*q**2. Let o(v) = -7 - 4 - v**3 + 0*v**3 + 13 - v**2. Give 2*m(x) - 3*o(x).\nAnswer: -x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45152\/(-4420) - 1*-10. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 24. Suppose m = -0*m - 3*h + 32, -3*h = -2*m + 73. Let u = -22 + m. Calculate the remainder when k(0) is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 - 0.3. Let u = k + -0.5. Which is the second smallest value? (a) u (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 186\/5*b**2 - 783\/5*b + 3\/5*b**3 + 594\/5 = 0. What is b?\nAnswer: -66, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**4 + i**4 + 3*i**2 - i**2 - 59*i**3 + 1 + 57*i**3 to z*i**2 + g*i + o + x*i**3 + r*i**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t - 8 = 4*s, -3*s + 15 = 4*t. Suppose 7*n = t*n. Solve n = -6*u + 3*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 10. Sort 2, 0.5, t in descending order.\nAnswer: 2, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -862, 2\/7, 1\/8, -5.\nAnswer: -862, -5, -0.05, 1\/8, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/10)\/(4\/(-16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 4*u - 12. What are the prime factors of (-63)\/u + 6\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 506 - 1015\/2. Which is the second smallest value? (a) q (b) -4\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-14)\/735)\/(9\/((-54)\/(-4)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564605.\nAnswer: 3, 5, 7, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/33870397?\nAnswer: -2\/33870397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 - 1. Let p(g) = -g**2 + g + 1. Let n = 30 - 31. Let h(c) = n*w(c) - 3*p(c). Let v(x) = 2*x**2 + 4*x + 2. Calculate 4*h(a) + 3*v(a).\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -104c + -17?\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 - 12.81. Let p = -269 + 907. Let f = 634 - p. Which is the third smallest value? (a) r (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 2034458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 39. Determine v(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*l + p, -4 - 31 = 2*l - p - 39 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 272168113 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(612) - (sqrt(612) - (sqrt(612) + -2 + sqrt(612)))) + (sqrt(34) + sqrt(136)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: -224*sqrt(17) + 13344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 6*j**2 - 8*j + 10. Give n(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5)*(6 - 801\/(-9)). What is the greatest common divisor of 1558 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -909 (base 11) in base 10?\nAnswer: -1098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 not equal to -56\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 61*o + 145. Calculate the lowest common multiple of q(-31) and 1.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*w - 88*w + 48*w = 119 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 143.\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -179.6 times 557844?\nAnswer: -100188782.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11549 (b) -0.1 (c) -555\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.6 and -279?\nAnswer: -2678.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8433.278 litres to millilitres.\nAnswer: 8433278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = -n - 456, -2*g + 3*n + 913 = 0. Suppose a - 4*m - g = -0*a, 5*m + 2290 = 5*a. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/255945 and -64\/17515?\nAnswer: 7934295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 230519719?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4\/(-18) - (-1)\/9*92 and 62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2994 + 1695. Suppose 2*r - 2*j - g = -3*j, 9381 = 4*r + j. Suppose -3*n - 3175 = 4*i, r = -3*i + n - 19. Round i to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 1)*(3*x - x**3 - 6*x + 2*x).\nAnswer: 4*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*m - 22 = 0, 4*p + 0*m - 17 = -m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -498125199*b**3 + 44*b**2 + 891297*b wrt b?\nAnswer: -2988751194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.9. Let s = 1.09 - 1.09. What is the closest to s in 3\/4, f, -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.874103 rounded to one decimal place?\nAnswer: -27.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-659*d**2 + 24*d**2 + 276*d**2)*(-2*d + 4*d - 3*d + (-d - d + 0*d)*(1 + 0 + 1) - 1 + 3*d + 1).\nAnswer: 718*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*d + 2, 0 = -5*y + 205*d - 200*d + 55. Let g(q) = -3*q - 2. Let n be g(6). Calculate the common denominator of (n\/(-12))\/y*(-615)\/200 and 23\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33581177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q\/((q*q**27*q)\/q)*q)*q*q**(-1\/3) assuming q is positive.\nAnswer: q**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*w - 3 = w, -4*z - 5*w + 23 = 0. What is the common denominator of (-5 + (-68)\/(-16))*-15*z and (83\/4)\/(-3 + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + 3 + 101 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13687 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22103203 (base 4) to base 2.\nAnswer: -1010010011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**5\/630 - 8*b**4\/63 + 11*b**3\/21 + 16*b**2 + 2. Find z, given that x(z) = 0.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -18 + -74 + 16 + 49?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9163182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 52*d**2 - 3*d + 1. Let j(f) = -f**2 + f. Let g(w) = i(w) + 5*j(w). Calculate the remainder when 95 is divided by g(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/8 - 261*o**2\/4 - 21627*o\/8 + 23763\/2.\nAnswer: -3*(o - 4)*(o + 89)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 times 14389?\nAnswer: 1179898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-4)\/4 - 2 - 55. Let c be (-14)\/(-63) - s*12\/27. Is c greater than 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*-2*(2*sqrt(19))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 4. Let d be o(0). Let x(k) = -k + 3. Let f be x(-3). Let b(v) = 2*v + 3. Let l(u) = -u - 1. Let g(c) = f*b(c) + 14*l(c). Give g(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, s: 6, g: 4, y: 2}. What is prob of picking 4 g?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 9. Let i be x(7). What is the remainder when 31 is divided by 4 + (-1 - -3) - i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 20*y**2 + 17*y + 39. Let z be q(11). Let i(s) = s**3 + 15*s**2 - 18*s - 39. Calculate i(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*q**4 + 10*q + 446?\nAnswer: 48*q**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 816 + -441. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s = 12 + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*(2 + 23\/(-4)). Suppose 0 = -3*l - q + 6*q - 61, -3*l - 2*q - 68 = 0. Let k = v + l. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3317998 times 6?\nAnswer: -19907988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 583.09 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1315, -5451, -12337, -21967, -34335, -49435?\nAnswer: -67261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*f - 9307 + 9307 - 4 + 4 + 2*f + 2*f + 2*f - 5*f + (-5*f + 2*f + f)*(-1 + 1 + 1))*(11*f**3 - 30*f**3 - 27*f**3).\nAnswer: -1334*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 16 = -4*b, 3*j + 1 = 13. Find the common denominator of ((-1)\/(-1) + 58)\/b and 63\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1027499 + -4109891\/4. Suppose 969\/4*r + 3\/4*r**3 - j*r**2 - 867\/4 = 0. Calculate r.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.6 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -475 + 464. Put 1, 2, y in decreasing order.\nAnswer: 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5728272 divided by 176.\nAnswer: -32547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:13 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 437 + 264. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 2617 + 65152 = 0. Suppose k = 5*t + 4*g - 8377, t + 5*g = 2697. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofo when three letters picked without replacement from {f: 3, j: 5, o: 2, c: 5}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.23 - -0.23. Which is the biggest value? (a) 0.1 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18061, 36068, 54075, 72082, 90089?\nAnswer: 108096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71942 and 650?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4 = 2*n, 5*r + 0 = n + 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 246*u - 1963. Let v be i(8). Solve -b = -f + 3, v*f - 21 = 8*b - 6*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15, 20, 27, 36?\n\"Answer: b**2 + 2*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - u + 2 = -2*c, 2*u = 2*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + z + 583 = 0, -2*u + 5*z = -134 - 90. Calculate the greatest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6232 + 10298*s - 3116 - 3116 to the form c + g*s and give g.\nAnswer: 10298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {q: 1, e: 12, o: 1}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 494*o. Let w(s) = -2*s. Give w(c(v)).\nAnswer: -988*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + (-17 - -3) + (-21 - -30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 25. Let a be ((-6)\/4)\/(h\/14). Suppose y - 36 = -a*y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 8629250*s + 3723197778125.\nAnswer: 5*(s + 862925)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (673 - 627 - (53 - -1)) + (2 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/375 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = 426 - 213 + 664 + 11 for z.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15031 - 15037. Do i and -320 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/2960620 and -7\/8.\nAnswer: 5921240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2915*i + 3381 = -2894*i. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 22*z**2 - 15*z - 126. Determine h(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521079347?\nAnswer: 20921, 24907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5659 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7878915, -7878915, -7878905, -7878879, -7878831, -7878755, -7878645, -7878495?\n\"Answer: a**3 - a**2 - 4*a - 7878911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(7804*m + 1 - 1 - 8397*m).\nAnswer: 1186*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -694 - -1076. Let p = t - -19. What are the prime factors of p?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-44) + 15\/4. Solve 2*y = 5*v - k + 3, -v - 5 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 9*c - 11*c. Suppose -3*b - 9 = 0, 2*i = b + c*b + 23. Solve -2*q - 3 - 1 = i*j, 2*j = -3*q + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 - 33*u + 6. What is the remainder when 97 is divided by q(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/343, -0.84, 0 in descending order.\nAnswer: 2\/343, 0, -0.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 722816260 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 255100603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/65 and 79\/117.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 l when three letters picked without replacement from qqqllaqqqraclclrs?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230\/(-1035)*108 + 55.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9672 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(sqrt(720) - ((sqrt(720) - (sqrt(720) + (sqrt(720) - (sqrt(720) - (sqrt(720) + 0)) - sqrt(720) - sqrt(720)) + sqrt(720)))**2 - sqrt(720))).\nAnswer: -96*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/84*1\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-7)\/42*3. Suppose 16*a - 12*a + 84 = k. Which is bigger: a or -27?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60236, -64118, -68000, -71882, -75764, -79646?\nAnswer: -83528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135309.\nAnswer: 3, 23, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1734755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 + (9 - 8) + (-2 - -9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**3*v + 5821245*o**3 + 924*o**2*v - 4*o*v + 1844*v wrt v?\nAnswer: o**3 + 924*o**2 - 4*o + 1844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 856247971 to the power of 1\/2, to the nearest integer?\nAnswer: 29262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238 or 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95470?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21)\/((sqrt(7) - sqrt(42)\/(sqrt(6)*2)) + sqrt(7)) - (1 + 2*sqrt(3) + -3)) + 0)*3)**2.\nAnswer: -48*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 4*m - 80 = -16*z + 10*m, -5*m = 3*z + 33 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*f**4 - 169*f**4 + 150*f**4 - 4*f**4 + 3*f**4 + 2*f**4 + (3*f**2 + f**2 - 2*f**2)*(-f**2 + 0*f**2 - f**2) - 177*f**2 + 1 - 18*f**4 + 177*f**2.\nAnswer: -99*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/723 (b) 4 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/9 - 4176376*d**2\/9 + 8352734*d\/3 - 4176364 = 0. Calculate d.\nAnswer: 3, 2088182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/78 and -2*(106\/(-624) - 2\/3)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/8013 and -23\/7.\nAnswer: 56091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -145 - 126137*p**2 + 25*p + 63070*p**2 + 63066*p**2. What is l(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 25 (b) 0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Let a be 1 + 1 + -5 + 66 + -9. Find the common denominator of -61\/14 and ((-6)\/a)\/(q\/75).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 36*d**3 + 1. Determine h(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 259. Let k(d) = 2*d - 54*d**2 - 2*d + 26*d**2 + 29*d**2. Determine k(g(q)).\nAnswer: 4*q**4 + 1036*q**2 + 67081","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3 = v - 31, 3*v - 94 = 4*d. Suppose -x - 28 + v = 0. Suppose -i = -2*l - x - 66, 2*l + 196 = 3*i. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1006, 2371, 4092, 6169, 8602?\n\"Answer: 178*u**2 + 831*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3870*f - 3934*f + 3428 + 540 = 0 for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.115 + 0.585. What is the third smallest value in 10, j, -1\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3788618371?\nAnswer: 193, 643, 30529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*8\/(-28) - 1) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 46*x + 1679. Let s(k) = k. Calculate o(s(r)).\nAnswer: r**2 + 46*r + 1679","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*p + 15. Solve 4*n = 1 + p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**2 - 3*y**2 - y**2 + y - 2*y. Let q(d) = -26*d**2 + d - 1. Let l be q(1). Let z be (-28)\/(-13) + 4\/l. Determine c(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 26*g**2 - 44*g - 49. Is 70 a factor of m(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqzqqqqqzq. What is prob of sequence zqzq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47 + 2 - 12)*(2*c - 2 + 2) in the form i*c + a and give i.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65\/3 in 109033, -0.05, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -279, -531, -951, -1539, -2295, -3219?\n\"Answer: -84*t**2 - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 31 - 29 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -0.55, -1\/2 in ascending order.\nAnswer: -4, -0.55, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16996582 to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*i = -6, 4*z - 3*i - 8 - 24 = 0. Let o be 1*(24 - -1)\/z. Suppose 9 + 1 = 5*b, 118 = 3*t + o*b. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-88)*-6)\/((-6)\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15520199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -152*j**2\/7 - 614*j\/7 - 24\/7.\nAnswer: -2*(j + 4)*(76*j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/60637 - -78888755\/363822. Let a = m - 216. Calculate the common denominator of a and ((-18)\/24)\/(15\/54).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55352.74 millilitres?\nAnswer: 55.35274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-10) + 1652\/(-360))\/((-4)\/(-3))*-3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*x - 33, 2*l + 5*x = -0*x - 17. Suppose 0 = -0*v - 3*v. Suppose 0 = 2*o - 4*q - 20, v = -o + 5*o - l*q - 24. Which is greater: 16\/7 or o?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 6181\/26?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = 3*v. Which is the second smallest value? (a) -1\/7 (b) v (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 - 60 = -68*a. Solve -a = 40*p - 38*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*f + 12*n + 60 = 66*f, -3*n = -24*f - 84 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42627739 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2474 (base 15) to base 7.\nAnswer: 31423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:04 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 442210423 (base 5) to base 11\nAnswer: 1097498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imf when three letters picked without replacement from cmfodio?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -866 - -467. What is the units digit of (-114)\/m - 500\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18881300 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 10*c + 48. Let j(n) = -5*n**2 - 20*n + 97. Let k(l) = 13*f(l) - 6*j(l). What is the derivative of k(r) wrt r?\nAnswer: 8*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4, -2*n + c - 6*c + 7 = 0. Solve 5*q + 3*a - 1 = -n, 3*a = 3*q - 21 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -31*z. Let v be -48 + 54 - (-3)\/(-1*1). Let m(i) = -224*i - v*i**2 + 224*i. Calculate m(p(b)).\nAnswer: -2883*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 285248396271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166124 (base 7) to base 16.\nAnswer: -823a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12) - (3 - 1)\/(-36 - -36 - 16)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-35))\/((-21)\/70)*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/15, -2\/3, -3\/7, -0.07, 0.1, 104\/19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 14. Let v = -9\/5 - -2. What is the biggest value in v, -4, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2, 4*o - 8 = -4*p + 16. Let h = p - 13. Let q(m) = -2*m - 3. Calculate the remainder when 17 is divided by q(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/((-14)\/15 - -1). Let v be 9 - (15 - t) - 4. Sort 1\/3, -0.56, 2, v in decreasing order.\nAnswer: 2, 1\/3, -0.56, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 214696*w. Let n(v) = 3*v**2. Determine n(g(m)).\nAnswer: 138283117248*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**4\/4 - 17*p**3\/3 + 33*p**2\/2 + 3*p + 14. What is the remainder when w(-19) is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -9*t + 2*g + 40, 8 = t - 4*g. Let d = -2 - -4. Suppose d*m = -0*m + 6. Solve 5*f - t = -w - 26, -3*f = -m*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1323?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 49. Suppose -v - 4*r + 7 = 0, -v - 5*r = -4 - 1. Calculate the remainder when p is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3168 + 3 = -3*w. Suppose 5*q - 4*z = -0*q + 13, -z = 3*q - 18. Suppose w = q*x + 380. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 13*u - 2. Let o = 0 + 7. Let k be h(o). Suppose -k*n + 105 = -4*b - 72, 150 = 4*n + b. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12777.\nAnswer: 3, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15345641 (base 8) to base 7.\nAnswer: -41652351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*f = 131*f - 130478. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -3\/2*g**2 + 0*g**3 - g + 0*g**4 - 3\/20*g**5 + 0. What is the first derivative of r(f) wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 c when three letters picked without replacement from {h: 8, d: 4, c: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 11\/6*s**3 + 0*s - 12*s**2 + 13\/8*s**4 + 0. Is p(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 91788*o + 8385832.\nAnswer: -4*(o - 91)*(o + 23038)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 + 2*w - 1. Let z be (22\/88)\/((-2)\/(-8)). Calculate q(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -19*k**2 - 8*k. Let q(y) = 19*y**2 + 8*y. What is 2*c(g) + 3*q(g)?\nAnswer: 19*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 5 (c) -4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6 + 10 - 19 + 3*u**2 - 14*u. Is q(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97508 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: Let c(r) = 2*r + 4. Let w(u) = -u - 2. Let g(k) = -6*c(k) - 10*w(k). Let x be 2 - 26*(-1)\/(-2). Let i = -8 - x. Calculate g(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166 (base 8) to base 4\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(343)*-5 + sqrt(343))**2 + (sqrt(175) + 2)*4 + -4.\nAnswer: 20*sqrt(7) + 5492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742681084.\nAnswer: 2, 1213, 153067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993 is divided by 103.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.084? (a) 2\/21 (b) -4 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 6593760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 6*s - 3*d, s = d + 8. What is the greatest common factor of 12 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14*30\/70 - -15092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(156*h**3 + 88*h**3 - 143*h**3).\nAnswer: -303*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -1\/2 (b) -1 (c) 0.6 (d) 2\/7 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20 = -3*h, 4*h + 1 = 3*v. Find the third derivative of 2*g**4 + v*g**2 - 2*g**4 + 9*g**4 wrt g.\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 65 = 20*z. Let t be 7 + -7 - z - -340. What is the highest common divisor of 16 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 263.\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 6*z**2 - 12*z - 1. Is w(-6) 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 5:14 AM and 7:11 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*s - 2*x - 31, -1 = -s - 5*x. Suppose 2*z = -3*z - 2*k + 16, 5*k = -4*z + s. Let f(d) = -d - 3 + z - 1. Let a(h) = -5*h**2. What is f(a(c))?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 19, -5, 4 in decreasing order.\nAnswer: 19, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 464 (base 8) to base 11\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51177000 rounded to the nearest one million?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**4*q**2 - 92*m**4*q - 564*m**3*q - 162*m**2*q**2 - 43*m**2 - 2*m*q**2 - 201 wrt m.\nAnswer: 96*m*q**2 - 2208*m*q - 3384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10284.41 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11153 and 532?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -5*q + 2*o, 3 - 18 = -5*o. Let z be (-2)\/q + -7 + (-223)\/(-17). Let g(b) = -3*b. Let t(s) = 8*s. What is z*g(v) + 3*t(v)?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 9*r - 2. What is v(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)*2 - sqrt(84))*2 - (sqrt(84) + (sqrt(84) - 3*sqrt(84)*2 - sqrt(84))))*3)\/(4*2*sqrt(300)*1) + 5.\nAnswer: 21*sqrt(7)\/40 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - 5*z**2 + 11*z + 1. Let i(s) = s**2 - 10*s + 19. Let m be i(6). What is the units digit of b(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 253424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/8 - 67*i**3\/8 - 1575*i**2\/8 - 14553*i\/8 - 9261\/2.\nAnswer: -(i + 4)*(i + 21)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-545)\/(-10) + -53 + 11. Factor r + 7\/4*q**2 - 177\/4*q.\nAnswer: (q - 25)*(7*q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28 and 1912.\nAnswer: -535.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-10)*(-27 + -14 - 29). Solve 4*w - m*q + 55*q - 22 = 0, -5*w + 2*q + 29 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 61\/2 of a meter?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 1295. Calculate the highest common divisor of i and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4208 + -4253 - (1 - 47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*m + 20, -5*c - 13 = 4*m + 7. What is the remainder when (-121 + 1)\/(-1)*c\/(-8) is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*((-540)\/16)\/5. Suppose 182 - s = 5*l. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2290035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 5:12 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 57934\/(-1)*(-102)\/(-153)*30\/(-4). What is c rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89964595 divided by 5?\nAnswer: -17992919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*s - 496 = 44*s - 2529 - 277 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3482*20 - (-1940)\/291*12\/(-10)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**4\/12 + h**3\/6 + 6*h**2 + 2*h. What is the units digit of m(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 13*v - 11. Let q be m(-14). Suppose 1116 = -q*x + 6195. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 10449.\nAnswer: 10448.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 198045 - 6376. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, i: 4, w: 3, y: 1}. Give prob of picking 1 w and 1 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 1\/2*h**3 + 12*h**2 + 0 + 0*h + 1\/20*h**5 + 1\/4*h**4. Factor l(n).\nAnswer: 3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 6. Let p(f) = -10*f - 55. Let i(o) = 6*p(o) + 55*t(o). Let m = 20 - 6. Let r(l) = m + 2*l - 14. What is r(i(b))?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*i - 60*i + 2 + 186*i**2.\nAnswer: 186*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07664 to 3 decimal places.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 642.1997t in grams?\nAnswer: 642199700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62214283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 422, 46, 30\/7?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -43. Suppose u*m = 11*m - 88. Suppose 0 = 3*b + 4*t - m, 5*b - 114 = -2*t + 14. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3476 + -2201. Suppose -5*h = 13*q - 8*q - r, 2*q - 3*h - 515 = 0. Is 32 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -351 + 360. Let f = 24 + -40. Let d = f + m. Are -5 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 13. Let u be z(16). Let g be ((-14)\/(-10) - 1)*u*145. Round g to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26080577 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/(6*3\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -25. Let u = 54 + r. Let d be (-13500)\/(-1 - (-22)\/u). Round d to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 5*z**2 + 7*z + 5. Let r be x(-4). Is -4 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/11*g**3 - 2\/11*g**4 + 0*g - 6\/11*g**2 + 0 = 0 for g.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 733*w - 796. What is the hundreds digit of m(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**8*s*s**(-3)*s**(-1\/10)\/(s*s**(-1\/7)) assuming s is positive.\nAnswer: s**(353\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57.9 + -39313673.449.\nAnswer: -39313731.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**2 + 6*r**2 - 2*r**2)*(-2 - 2 + 3 + (-1440 - 340 - 1425)*(0 - 1 + 3)) to v + c*r + g*r**2 and give g.\nAnswer: -6411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5559*i + 12100*i + 6683*i.\nAnswer: 13224*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3462*w + 6682*w + 111*w**2 - 3220*w.\nAnswer: 111*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.7 or -3\/286?\nAnswer: -3\/286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5526442516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16911 - 4422*i**5 + 16911 - 81*i - 2343*i**5 + 6462*i wrt i.\nAnswer: -135300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -8\/9*d**3 - 33 - 44\/3*d - 19\/3*d**2. Determine g, given that r(g) = 0.\nAnswer: -11\/4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 152, 208, 244, 254, 232, 172?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**3 + 123*m**2 - 31*m + 27. Calculate o(-31).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785*z + 16 - 12 - 2 - 12.\nAnswer: 785*z - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + -5*(sqrt(325) - (sqrt(325) + sqrt(325)*4)))**2.\nAnswer: 143325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k - 8. Let y(j) = -j - 1. Give 5*b(f) - 40*y(f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 30*d = -6735. Let j = -854 - d. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**2*v**3 - 117*c**2*v**2 + 5*c*v**3 + 5*v**3 + 3*v**2 - 4 wrt v.\nAnswer: 18*c**2 + 30*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 4. Let z be 1\/4 + 1\/(-4). Let y = 1 + z. Sort -2\/7, y, t.\nAnswer: t, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3847 at most as big as 14.47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 81*q**2 - 116*q - 2784. Give d(-82).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-540)\/20)\/(-351)*-1\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -78? (a) 0.3 (b) -3 (c) 3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 10\/3*b**4 - 4\/3*b**3 - 4\/3*b**5 - 2\/3 + 8\/3*b - 8\/3*b**2 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/6)*r)\/((r*r\/(r*r*(r\/r**(7\/6)*r)\/r))\/r*r)*(r**11*r)**(-17) assuming r is positive.\nAnswer: r**(-607\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 12*q - 464. Let l(p) = 6*p - 259. Calculate 7*l(i) - 4*s(i).\nAnswer: -6*i + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(52))*4.\nAnswer: -4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(1794\/(-1058)) + -55\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide -1 + 8\/6 + 244256\/408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/55 and -49\/50915.\nAnswer: 560065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3\/7 + 40*t**2\/7.\nAnswer: -4*t**2*(t - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 86 - 2*((-9)\/(-6) + -1). Let h = -26 + c. What is the remainder when h is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0)**(-1\/3)*j\/(j*(j*j**(-4\/5)\/j)\/j)*j*j**(2\/17)*j)**(-14))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759780543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(80) + sqrt(80)*1*3 - (sqrt(80) - (-4 + -2*sqrt(80))))*-4)*-3.\nAnswer: -54 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*-2 + -5 + 0.\nAnswer: -4*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1138\/839283?\nAnswer: -1138\/839283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 157053 (base 10) in base 2?\nAnswer: 100110010101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9 (base 14) to base 11.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373, 366, 353, 334, 309, 278?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000073843 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 - k + 2. Let c = -66 - -65. Let w(i) = i**2. Calculate c*o(s) + 3*w(s).\nAnswer: -2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 8:08 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let r be 0\/(5 + -2 - i). Let x = r + 3. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 - -426011?\nAnswer: 426060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 220 + -70. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3.92. Let x = 1.38 + r. Let l = -1.30000065 + x. Round l to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 405155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468 = 370*v - 352*v for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005447 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tso when three letters picked without replacement from {s: 7, o: 1, t: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104776554.8000098 + 104776564. Let a = c - 9.2. Round a to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnennneennennn. What is prob of picking 1 e and 1 n?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 3*c = 0. Suppose -a = -6*a + 25. Suppose c*g = -a*g. Is -1\/5 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 703 + -705. Which is bigger: 22 or v?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.137 + 56.137. Let k = b + -149. Let a = k - -93.00041. What is a rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f - 45*f = 18 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -584 (b) 0.3 (c) -2\/7 (d) 5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 2:55 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 1. Let n(d) = -4*d + 5. Let v be -2 + (-54)\/(-45) + (-1)\/5. Calculate v*n(w) + 3*c(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/(-18) + -2)*-3. Let o be 0 + ((-1515)\/10 - -2)*b. Calculate the highest common divisor of 23 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(2\/5)\/p*p))**(-28))**(3\/5)\/(p**(2\/7)*(p*p**(-5)*p)\/p*p**(-1\/4)\/p**5) assuming p is positive.\nAnswer: p**(10979\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 595\/65 - (-4)\/(-26). Let g = b - 9. Let i(s) = -s**3 + s**2 + s + 67. Is i(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8 + 25 = 0. Let d = 20 + f. Solve 0 = 2*p + 3*i - 10, 3*p = -d*i - 0*i + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + 1*sqrt(2057))*-4)**2 + (4 + (1*sqrt(2057) - sqrt(2057)) + 2)**2)*1*-2.\nAnswer: -66184 + 2112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqk when three letters picked without replacement from {q: 1, k: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56020 (base 7) in base 6?\nAnswer: 145101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611498490.\nAnswer: 2, 3, 5, 431, 47293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iigfffiiifigf. What is prob of picking 1 g and 2 f?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 9. Let i be r(5). Let c be 10\/(-4)*8\/i. Suppose 3*m - 4 - c = 0. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/193, 0.19, -5, 0.23?\nAnswer: 1\/193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (739 - 739 - 8*r - 2*r - r + 2*r + (1 + 2 - 5)*(2*r - 6*r + 3*r) + 0 - r + 0 + r - 4*r + r)*(7*r**2 - 4*r**4 - 7*r**2).\nAnswer: 40*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2082 is divided by 95.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**6\/75 - 4*o**5\/25 - 13*o**4\/30 - 2*o**3\/5 + 347*o. Let j(c) = 0. Calculate c.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x - x + 5*x + (5 + 9 - 4)*(3*x - 4*x + 2*x))*(60 - 14 + 5) to f + l*x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 103982635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3971394 * 0.3\nAnswer: 0.11914182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 + 134 = 3*k. Let g be 2\/7 + k\/14. Let 16*b - 5 + 2*b**3 - g + 0 + 3 - 10*b**2 = 0. Calculate b.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.063 (b) 6.8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 3*z + 10. Give f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 6. Let h be s(-8). Let b be (-2)\/(-3) - (-8)\/6. What are the prime factors of (b + 2 - -1) + h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*p + 4, 2*f - 1 = -3*p - 3. Suppose 0 = 4*k + i + 3 + 6, 2*k + f*i + 27 = 0. List the prime factors of 12\/(-9)*21\/k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -124\/12385 or -1?\nAnswer: -124\/12385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2.5. Let l = 1 + q. Let p = 0.7 - 0.2. Which is the second biggest value? (a) p (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w - 373008 + 124342 + 124331 + 124335.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 171. Let x(u) = 19945*u. Calculate t(x(h)).\nAnswer: 795606050*h**2 - 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 700 + -704. Suppose -2*y + 2*z - 52 = 0, -4*y = -0*z - z + 104. Sort -5, o, y, -3 in increasing order.\nAnswer: y, -5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 257726.1mg?\nAnswer: 257.7261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4192 - -4307. Solve 2*n + 12 = -l*x + 111*x, 0 = 5*n - 4*x + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*x + 14. Let b(k) = -k - 9. Let h(i) = -i - 13. Give x*b(v) - 5*h(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 848 - 606. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7257 - -7297. What is the highest common factor of 6640 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 10*o**3\/3 - o**2 + o - 14. Determine b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83.8551 times 4\nAnswer: -335.4204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495*z - 283*z + 406 = 270*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/(-40))\/(1\/44). Let n(o) = o**2 + o + 52. Let h be n(0). Let p = h - c. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 53, 28, -27, -124, -275, -492?\n\"Answer: -2*l**3 - 3*l**2 - 2*l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13891, 1 in descending order.\nAnswer: 2, 1, -13891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 114*o**2 - 190*o + 4473. What are the prime factors of i(24)?\nAnswer: 3, 21859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/45 + (-12)\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3089, 2\/7, 2.64 in descending order.\nAnswer: 3089, 2.64, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 0. Let v(s) = 2*s + 4. Let n be v(3). Let r = n - u. Solve -5*d + 2*o = r, -d = -3*o - 5 - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - d + 4. Let w be z(3). Let q = w - -13. Let f = 6 + q. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*s + 379 = 247 - 1578 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4.1. Suppose -5*n - 12 + 0 = -4*k, n + 4 = 0. Which is the closest to o? (a) k (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 4, i: 1, s: 1, v: 5}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*c**3 + 24 + 16 - 38.\nAnswer: -41*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 90.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057) - (2 + sqrt(2057))) + 0)*-4 + 4 + 6*(sqrt(2057) + -2 + sqrt(2057) + 0 + sqrt(2057))*-5)**2.\nAnswer: -142560*sqrt(17) + 16666884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 476*p**2 - 950*p**2 + 473*p**2.\nAnswer: -p**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 218*r + 3495. Give i(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -19. Suppose -g = -4*n, 1 - 9 = -5*o + n. Which is smaller: 3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1381 - 6661 = -12*m. What is the greatest common factor of m and 858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 12:45 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + (0 - 34))*(1 - 0). Let a be ((-292)\/10)\/(1\/(-5)). Let y = l + a. What is the greatest common divisor of 23 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - -3203?\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/(-6)*(-117)\/12. Let f = 76 + i. What is the first derivative of -17 + 13*r**2 + 4 + f*r**2 wrt r?\nAnswer: 74*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313081 is divided by 148?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 377.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -m - 7*x - 5, 2*m = -x + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 37 - 154. What is the highest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 76*v**2 + 23*v - 23. Give a(1).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 1\/3*u**3 - 1\/4*u**2 + 5 + 0*u - 1\/8*u**4. Determine f, given that x(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55203 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, 5, 1614, -22, -0.6?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aidi when four letters picked without replacement from {z: 1, d: 7, a: 2, i: 2}.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -14*g**2 - 6*g - 3. Let s(p) = -5*p**2 - 2*p - 1. Let a be 6 + (-3 + 0 - 0). Let x be a\/2 + (-6)\/(-4). Calculate x*o(t) - 8*s(t).\nAnswer: -2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0094 - -4.2206. Let m = r - 0.23. Let b = 3.9 - m. What is the second biggest value in b, 3\/7, -3\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 3270784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 62. Suppose f*n = 3*n - 9. What is the second smallest value in -0.1, 1\/7, n, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -58*f**3 + 5. Let y(p) be the first derivative of -29*p**4\/4 + 3*p - 11732. Calculate -3*h(v) + 5*y(v).\nAnswer: 29*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b)**(-2\/3)\/(b**(-2\/21))**(2\/45) assuming b is positive.\nAnswer: b**(634\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = -5*p - d, -3*d = 2*p + 2*d + 167. Let z = -76 - p. Suppose z*b - 3*b = 5509. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.1 (c) -2\/3 (d) 0.5 (e) 70\/33 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -1.2. Let q be 18\/(-246) + (-603)\/1845. Which is the biggest value? (a) -1 (b) w (c) q (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 55 = -14. Let u = -21 + t. Let v = -7 + 10. Which is the third biggest value? (a) 1\/9 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2143 + 2141. Put q, -0.81, -1 in decreasing order.\nAnswer: -0.81, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4 - m**3\/3 + m**2\/2 - m + 438. Let z = 0 - -1. Let c be h(z). Solve 2*k + k = c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40 + 5391*j**3 - 3 - 5397*j**3 + (0*j**2 - 4*j**2 + 5*j**2)*(j + 2 - 2) + 0*j**3 - j**3 + 4*j**3.\nAnswer: -2*j**3 - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25266 is divided by 90.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-6))\/(-1) + (-501)\/(-167) - -10.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2339, 18853, 63685, 150995, 294943?\nAnswer: 509689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.81 - 9.71. Round y to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460301, -460504, -460707, -460910, -461113?\nAnswer: -461316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from allalallaaal?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(4\/(-4))*16\/20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117 - -120) + -12 - (-53 + 1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 5*j - 6. Is 6 a factor of v(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0593 + -253.9407. Let o = -256.61 - s. Round o to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1309 and 382.6.\nAnswer: -50.08234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1386*p - 295 with respect to p.\nAnswer: 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/4 and 74\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1584 + 3*t + 1584.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*a = -88, 2*a = -2*s + 40 - 8. What is the remainder when 733 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/18)\/((-25)\/(-150))*(-156)\/(-16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 23 - 19 - 3*h + 42.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3*n)\/((n*n**12)\/n)*n\/n**(-12)*(n**(5\/4)*n)\/n assuming n is positive.\nAnswer: n**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 d when four letters picked without replacement from vddvvvvvvvd.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {a: 1, w: 9, r: 1}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 895, 892, 905, 946, 1027?\n\"Answer: 2*a**3 - 4*a**2 - 5*a + 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -19. Suppose 0 = -3*h - 4*i + 14, -h + 0 = -k*i + 6. Solve 20 = -2*j - h*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 64?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipiiippiupppupppip. What is prob of picking 4 i?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4443.99 decades in millennia?\nAnswer: 44.4399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -11)\/(-1 + 0). Let c(z) = 2 + 30*z + 5 + 38*z + x*z. Is c(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/((-5)\/(405\/6)). Suppose -6*w + w - 4*c = -15, -2*w = -4*c - 6. Suppose q + 43 = 5*t, w*q = q + 4. What is the highest common divisor of t and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37938, 37453, 36954, 36435, 35890, 35313?\n\"Answer: -a**3 - a**2 - 475*a + 38415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - 3.02. Let d = 3 + m. Let i = 0.2 + d. What is the third biggest value in i, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12202 (b) 1\/5 (c) -2\/3 (d) 4 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 199964 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010010110 (base 2) in base 8?\nAnswer: -10226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33380 divided by 10?\nAnswer: -3338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1111000 (base 2) to base 16\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 5, 12, 31, 68, 129, 220?\n\"Answer: v**3 - 3*v**2 + 3*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -0.3 (b) 0.0473755 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**6\/120 + f**5\/30 + f**2. Find the third derivative of r(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**3*s**2 + c**2*s**2 - 9*c*s**2 - 2*c*s - 5*s wrt c.\nAnswer: 30*c*s**2 + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**4\/4 + 23*y**3\/3 - 25*y**2\/2 + 52*y + 87. Is p(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.98 - 2692.98. Let s = p + 2688.99997466. What is s rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12 and 81\/134.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 0.3 (b) -1.6 (c) -15 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 11\/3, 2\/5, 1\/10, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -7*f + 9*f + 4, 2*f = 4*u - 14. Solve 3*v - d - 3 = 3, -u*d - 5 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.4071, 0.3, 18, -0.5?\nAnswer: -1.4071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 4*v**2 + v**2)*(v + 0*v + 2*v) + 2*v**3 + 1 - 1 + 2*v**3 + 11*v**2 - 5*v**2 + 0*v**3.\nAnswer: -2*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -50, -43, -36?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.61?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g - 7*g - 7*g**2 + 3*g - 2*g wrt g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u**(1\/9)\/u)))\/u)\/((u*u\/(u\/(u**30\/u)))\/u))**26 assuming u is positive.\nAnswer: u**(-7228\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3647 (base 8) to base 2.\nAnswer: -11110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-588)\/(-14))\/7)\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 1 + 6 - 13*q + 9 with respect to q.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*h - 70*h + h**2)*(-h + 2*h - 2*h) + 2*h**3 + 3*h**2 - 3*h**2 + 5*h**3 - 3*h**3 + 10*h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -3*h + 10*h. Let c = h + 40. Suppose 0 = 2*s + a - 124, s + 4*a - 76 = -c*a. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 + 74\/(-36). Let w = 143\/12 + -497\/36. Let h = r - w. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {a: 2, j: 1, y: 1, n: 2, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19060 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 6689464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + m**2 - 775*m - 3122. What is h(-4)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 831a + -16?\nAnswer: 8304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -699844, -1, 12, -3 in descending order.\nAnswer: 12, -1, -3, -4, -699844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + c - 2. Let w = 718 + -717. Let k(m) = -m**3 + 3*m**2 + 3*m - 10. Let a(v) = w*k(v) - 3*g(v). Give a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/506 and 57\/935.\nAnswer: 43010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jttt when four letters picked without replacement from tjjjjjqjtjjjjtttt.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35198, -70409, -105632, -140873, -176138, -211433, -246764?\n\"Answer: -k**3 - 35204*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 675706354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**4 - 2 - 12719*g**3 - g**2 + 12721*g**3 - 2*g + g**2 in the form w + f*g + s*g**3 + a*g**4 + l*g**2 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 639 - 195. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.08 - -0.08. Let r = o - -52. Let k = -25.1 + r. Which is the second smallest value? (a) 5 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*g + 96832 = 93640 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/15))\/l*l*l\/(l**(-1\/10)*l))**(1\/6)\/((l\/l**(-1)*l\/((l*l*l*l**(-5))\/l)*l)\/(l**(2\/5))**(1\/62)) assuming l is positive.\nAnswer: l**(-7625\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*z - 254, -3*c - 5*z = -26 - 115. Suppose 5*w = 4*g - 68, 9*g - 5*g = w + c. What is the remainder when 22 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 140 = 5*z, 3*r - 69 = 3*z - 5*z. Is r greater than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -156 - -161 - (414\/82 - 0)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - 0.32. Let w = 66 + -81. Let d be 6 + 16 + w + (-1 - 3). What is the nearest to d in k, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 86370581 rounded to the nearest 1000000?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 0 + 0*u + 0*u**3 + 0*u**5 + 0*u**6 - 37\/24*u**4 - 19*u**2 - 19\/210*u**7. What is the second derivative of f(v) wrt v?\nAnswer: -228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 18 (c) 1\/7 (d) -0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*j + 3*g - 5, 4*g = -4. Calculate the remainder when 13 is divided by (-3 - 9)*j\/12*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 3*d + 5. Let r be l(0). Let x(y) = -2*y**2 + 5*y - 7. Determine x(r).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/n)**(-6)*n*(n*n**(5\/4)*n)\/n*n*n*((n*n**(-2))\/n)\/n)\/(n**10\/n**5)**(4\/19) assuming n is positive.\nAnswer: n**(1003\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031 take away -0.056287?\nAnswer: 0.025287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 6)*(4 + 5 - 5)*(-10 - n**2 + 10 + 5*n).\nAnswer: 4*n**2 - 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 853829 = -4*i - 517411. Let v be (i\/(-144))\/((-2)\/4). Let t = -209669\/44 - v. What is the common denominator of t and 65\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 18 = -2. Let y = -51 + 101. Calculate the highest common divisor of a and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/7*k - 2\/7*k**2 - 512\/7.\nAnswer: -2*(k - 16)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 205. Let x(z) = -7*z - 202. Give f(x(h)).\nAnswer: 7*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + (-1 - 0) + 29 + -7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.5, 4, 0, -289 in descending order.\nAnswer: 4, 0.5, 0, -4, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 5*u**2 + 1 - 4*u - 2*u**4 - 5 - 2*u**2 + u as i*u**3 + p*u**4 + j*u**2 + a + z*u and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**3 - 13*w**2 - 5*w + 4. Suppose 34*k + 12 + 147 + 11 = 0. Let i(b) = 4*b**3 + 7*b**2 + 3*b - 2. Give k*i(l) - 3*u(l).\nAnswer: l**3 + 4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 594*a**6*n**2 - 870*a**2*n**2 wrt a.\nAnswer: 71280*a**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8555, -17205, -25839, -34457, -43059, -51645, -60215?\nAnswer: -68769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38741 and 22429.\nAnswer: 426151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218.399999099 + 218.4. Round k to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6341393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4591897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2228195315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370 and 140?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20865\/4 + -500671\/96. Calculate the common denominator of q and 115\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 186?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30822 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10844719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*l + 25*l - 13*l + k + 37, 703*k + 53 = 3*l + 702*k for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 921\/13 + -12387\/182. Let d = -16\/7 + q. Which is bigger: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjjjbwwjbbbwwwb. What is prob of sequence jbw?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -15, -0.12, 12\/1121?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13180645*b*u**4 + 9*b*u**3 + 2*b*u**2 + 2*b*u - 2*b + 6*u**2 + 7*u + 444 wrt u.\nAnswer: 316335480*b*u + 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 3. Let a be j(9). Let n(z) = -z**2 + 13*z - 4. Let q be n(a). What is the highest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/180*10)\/((-539)\/(-99) + -1)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 1:28 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*n + 4*l, -38 + 146 = -4*n + 5*l. Let f = -24 - n. Which is smaller: -16\/7 or f?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12592578 * -0.8.\nAnswer: -0.100740624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 16 + (-13 - -19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let p = y + 7. Let t = p - 9. Which is the closest to 2\/3? (a) 1 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4 - 21*y**3 + 6*y**3 + 3*y**3 + 4*y**2 - 14*y**2 + 24*y = 0.\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -7, 146*p - 144*p + i = 7. Let s be (-8)\/6*(-1 + -2). Solve -x + s*a = -3*x + 24, p = -4*x - 5*a + 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.97815 litres in millilitres?\nAnswer: 72978.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02564417313717 and -0.5?\nAnswer: 0.52564417313717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 3. Let s be n(-3). Let t(d) = d**2 - d - 2. Let c be t(s). What is the smallest common multiple of (-4 + -1)*c\/5 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 344 - 362. What are the prime factors of y\/(-4)*1084\/6?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*i = 759, -484 = 4*u - 3*i - 1468. Is 47 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 35992.\nAnswer: 1\/35992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*u - 18 = 0, 2*u = -4*g + 3*u + 10. What are the prime factors of 6\/(g\/124*4)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 11*r**2 + 10*r + 24. Let d be v(10). Is 114\/5 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Let i = -6 + 4. Let l be (-1)\/3 + i\/(-6). Sort g, l, 2 in descending order.\nAnswer: g, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 3:26 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 times -3\nAnswer: -1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254693, 509423, 764195, 1019009, 1273865?\nAnswer: 1528763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 52187.\nAnswer: 15656.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**4 - 6*k**4 - 3*k**4)*(-63 - 94 - 134).\nAnswer: 1746*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 5 + 2*n**4 + 4*n**3 + 10 + 1338*n**2 - 654*n**2 - 668*n**2 as b*n + l + t*n**4 + q*n**2 + j*n**3 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*4\/(-88))\/(-2)*3084\/(-2313)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3. Calculate k(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 + 30\/20. Let i be (-5)\/1*(3 + 36\/(-10)). Suppose -3*u = 5*z + m*u - 715, -u - 409 = -i*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 13. Put -1\/5, m, -3 in descending order.\nAnswer: m, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -2968 in decreasing order.\nAnswer: 4, 2, -2968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*f**2 - 106*f**2 - 104*f**2 + 308*f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -5*f + 2*w - 41, w - 15 = -f. What is the remainder when 13 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*0\/1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -12905?\nAnswer: -7\/12905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**5 - 50*c**4 - 43*c**3 + 53*c**2 + 36*c. Let z(j) = -j**5 + j**3 - j**2 + 3*j. Let b(m) = -a(m) - 3*z(m). Factor b(r).\nAnswer: 5*r*(r - 1)*(r + 1)**2*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**4 - l**3 - l**2 + l. Let h(u) = -5*u**4 - 44*u**3 + 61*u**2 - 16*u - 12. Let w(k) = -h(k) + 4*s(k). Solve w(t) = 0.\nAnswer: -2\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + -103. Suppose 12 = f*o - 13. Sort -2, -1, o.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 57.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 0*x - x + 1 - 1 + x + (2 + 2*x - 2)*(-2 + 1 - 1))*(-318342*x - 923*x**3 + 318342*x) to z*x**2 + j*x**3 + v*x**4 + y*x + k and give v.\nAnswer: 3692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = 3*t, -2*m + 4*m + 2*t = 0. Let s be (-2 - -15) + (m - 0). Calculate the common denominator of 59\/8 and 105\/s - (0 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 569892789 to the nearest integer?\nAnswer: 23872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -506.5578454 to 2 decimal places.\nAnswer: -506.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.05552 + 0.01548. What is o rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*t**3 + 166*t**3 + 400*t**3.\nAnswer: 131*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1766441 - 0.005\nAnswer: -1766441.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3301233 (base 4) in base 16?\nAnswer: 3c6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/3 - 70*j**2\/3 + 176*j\/3 + 2904 = 0. Calculate j.\nAnswer: -9, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 27*k - 44. Let w(s) = 14*s - 22. Let u(r) = 4*q(r) - 7*w(r). Differentiate u(a) with respect to a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Let p(v) = v - 6. Let d be p(10). What is the third derivative of -2*y + d*y**6 + 7*y + 2*y**u - 5*y wrt y?\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:39 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*v = 8*v + 3213 + 387. Solve 14*b + v = 44*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 17*w**2 - 5*w - 80. Give o(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103150 is divided by 246?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 2)*(4 - 2 - 4)*(0*i**3 + i**3 + 3*i**3)*(-5 + 2 + 2).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndgddgnd. What is prob of picking 1 g and 1 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 829339024 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -7.2. Let s = f - -3.8. Which is the second smallest value? (a) s (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.127 - 1.177. What is the nearest to 2 in 4, f, -5\/2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -18301\/4 (b) 0.7 (c) -0.5 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, m: 3, v: 3}. Give prob of sequence vvvm.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (-10 - -12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - p**2 + p + 12. Suppose -4*u - 4*j = -2 + 18, -8 = 4*u + 2*j. Let i be c(u). What is the greatest common divisor of 84 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/9 - 14\/(-6). Suppose x + 8 = l*x. Let d = x + -1. What is the least common multiple of 8 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322 - 472. Let j = t + 154. Sort -43, j, 1.\nAnswer: -43, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Find the first derivative of -y*u**3 + 13*u**3 - 6 - u**3 wrt u.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -h + 34. Suppose -72 = -h*i - 2*w, -i + 6*w - 2*w = -61. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175 divided by -407\nAnswer: -175\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6472220 divided by 1\nAnswer: -6472220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -18*z**2 + 202*z - 6361. Let u(y) = -6*y**2 + 67*y - 2120. Let a(j) = 4*s(j) - 11*u(j). What is the first derivative of a(q) wrt q?\nAnswer: -12*q + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/10*(-130)\/(-39). What is the smallest common multiple of x\/(-16) - 31\/(-2) and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26537 - 4368. What are the prime factors of j?\nAnswer: 7, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1306 * -16\nAnswer: 20896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -84607, -169228, -253849, -338470, -423091, -507712?\n\"Answer: -84621*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36808062961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 10*l + 17 - 7*l)*(l - 5 + 5) + (-2 + 0 - 4)*(-9*l**2 + 1 - 1).\nAnswer: 57*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 17. Let k be m(12). Suppose 2*d = k*d - 36. What is the highest common factor of d and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Let l(u) = -209*u + 121. Let v(j) = 7*j - 4. Let i(k) = -4*l(k) - 121*v(k). Calculate x(i(q)).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1)*(-36)\/(-24) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -163*i + 143*i. Let n = 16 - 23. Put n, i, -2 in ascending order.\nAnswer: n, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1243019, -1243011, -1242999, -1242983, -1242963, -1242939, -1242911?\nAnswer: -1242879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Let o = i - 0.000052. Round o to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/56389 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-69)*(1066\/(-104) - (-70)\/(-56))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 421412653 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*s = -30, 4*a + s + 7 = -53. What is the hundreds digit of (0 + 1)*(a + (-15912)\/(-13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*x - 10 = 7, -5*f - 129 = -x. Let a = -20 - f. Suppose -5*z = 3*s - 47, z + a*s = 4*z - 35. What is the remainder when 38 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22558532*g**3*x**2 - g**2*x**2 - 7*g*x**2 + 24*g*x - 1278*g wrt g?\nAnswer: 135351192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -486*v**2 + 4*v - 1 + 6*v + 2199*v**2 + 415*v**2. Let c be a(5). Let u be 24\/18*(c + 1). Round u to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4677.\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, 2, -9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-16)*-21*1764\/21. Let v = -222 - w. Which is the third biggest value? (a) 20 (b) -2\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 528627 and 1059.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2111 is divided by 75?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**3 + 19 + 4*m**2 - 19 + 0*m**3 wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22998 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + 38?\nAnswer: 4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -484 times 23?\nAnswer: -11132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3470 - 38*r**3 - 13*r**3 - 3470.\nAnswer: -51*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/77 + 73\/154. Let g = -0.185 - 1.815. Let y = 0.1 + 0.4. What is the nearest to l in g, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -4*n**9\/21 + 67*n**5\/60 - 7*n**2 + n. What is the third derivative of f(g) wrt g?\nAnswer: -11520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w - 7*w**2 + 2*w + 9*w to t*w**2 + r + b*w and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18524199 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 987\/32800 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 - l**3 - 5*l**3 + 1 + 1 wrt l.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -5314.976.\nAnswer: -5315.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -15. Let x be 108\/9*q\/19. Let y = x - 4\/57. Is y equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929041 is divided by 10098.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c89ba (base 14) in base 13?\nAnswer: -29a65c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5096543 is divided by 132.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 * -0.43163\nAnswer: 0.1510705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 15. Suppose 0 = -2*c + 2*z - 0*z + 30, 0 = 4*c + b*z - 36. What is the greatest common divisor of c and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - f)*(2 + 4 - 4) + (4*f + 0*f - 2*f)*(-2 + 1 - 1) - 5*f + 3*f + 4*f + (2 - 1 + 0)*(2*f - 2*f + f) - 7*f - 1 + 1.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**2\/2 + 180. Suppose -3*j + 4*j - 1 = 0. What is l(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(110) - sqrt(110)*4)*-2)\/(-2*sqrt(70)\/sqrt(7)).\nAnswer: -3*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t - 7*t + t.\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -4.3, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3440401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3620858850.\nAnswer: 2, 3, 5, 7, 37, 47, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24399 - 5841. Suppose 14*j - k = -806. What are the prime factors of j?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*v - 44 = -16, 3*y + v = -32. Let d = 14 + y. What is the third derivative of -d*i**4 - 4*i**4 - 4*i**2 + i**2 wrt i?\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 315, 703, 1247, 1947, 2803?\nAnswer: 3815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 394 + -359. What is the remainder when 663 is divided by w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5 - 37804833*s**4 + 113414523*s**3 - 37804851*s**2 - 113414520*s + 75609684 = 0. Calculate s.\nAnswer: -12601614, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12044133*u**2*z - u*z + 68*u - 221*z + 1 wrt u?\nAnswer: 24088266*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i. Suppose 0 = 3*p - 3, i = w + p - 4*p + 20. What is the remainder when (-42)\/8*272\/w is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2 - 81*f - 158 = 0.\nAnswer: -79, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -508 + 513. Suppose 10*a - x*f = 12*a - 45, -35 = -3*a - f. What is the highest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 13 = -2*r, 0 - 4 = -2*f + 5*r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 14*d**2 + 691*d - 8. Let o(i) = -9*i**2 - 461*i + 5. Calculate -8*o(z) - 5*w(z).\nAnswer: 2*z**2 + 233*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127004 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i*j**3 + 3*i*j - 1112*i - 5*j**3 - 2 wrt j?\nAnswer: -3*i*j**2 + 3*i - 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 5*s**2 - 4*s + 4. Let v be t(4). Suppose 4*d - 43 = -3*i - 15, -v*i + 46 = d. Calculate the remainder when 94*(-1)\/(-5 - -3) is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 times -0.221\nAnswer: -6.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*h**2 - h - 2*h + 4*h**2.\nAnswer: -3*h*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 * -12.25\nAnswer: -551.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q - 7*q**2 - 2*q**3 + 20*q.\nAnswer: -2*q**3 - 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 15670?\nAnswer: -2\/7835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1672, -3340, -5006, -6670?\n\"Answer: x**2 - 1671*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggz when four letters picked without replacement from {g: 9, z: 1, f: 1}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 21*g**2 - 19*g + 76. Let u be c(-22). Suppose d = w + 3, -u*d = 4*w - 9*d - 8. Is -2\/5 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.85643 nanograms to kilograms.\nAnswer: 0.00000000009785643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 + -50. What is the remainder when l is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g + 46*g = 301930. Let j = g + -13056. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-310))\/(1338\/270 + -5). Let x = f + -21103\/16058. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 2\/15*k**3 + 58 - 6\/5*k**2 + 16\/5*k. Suppose v(y) = 0. Calculate y.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 995 - 20959. Is (-4)\/(-34) - m\/34 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:03 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*d**5 + 681*d**3 + 34558*d wrt d?\nAnswer: -520*d**3 + 4086*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(0 + 0 - 2)*(14*i + 14 - 14)*(2*i + i - i).\nAnswer: -112*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 4799*v**2\/2 + 1438800*v - 720000.\nAnswer: (v + 1200)**2*(2*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -86 (b) 3\/4 (c) 5 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 16, -2, -1, 0.005, -2\/11, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 8:25 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788237 is divided by 4637?\nAnswer: 4584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 25 = 2*b, 7 = 2*b - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 - 3*o**2 + 1. Let m be z(-2). Suppose m*y - 34 = -9. Suppose -3*d + y*r = 7, d = r - 4*r + 7. What is d rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1165149251575 and 9.1.\nAnswer: 1165149251584.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-1 - 3)\/2. Solve -3*d - i = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Let y = p + -5. Let u = -4 - -17\/4. Which is the biggest value? (a) y (b) u (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1085, -4303, -9639, -17075, -26593?\nAnswer: -38175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*h + p + 7, 4*p - 2 = 2*h. Suppose 8 = 3*b - 2*u, h = -2*b - u + 4. Solve -b*c = 3 + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -0.5. Let c = f - 0.2. Sort -3, c, -1\/3 in descending order.\nAnswer: c, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 413 - 469 = 0. Suppose z*o + 7978 - 50314 = 0. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37639 + 37639.065604. What is y rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14864 divided by 3716.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*r**2 + 3 - 2*r**2 - 5*r**3 - 2*r**4 - 2*r**2 + 0 wrt r?\nAnswer: -48*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + (2*sqrt(28))\/sqrt(4) + sqrt(7).\nAnswer: -6 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**2 + n**2)*(-1267*n + 1822*n + 2002*n).\nAnswer: 2557*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8430 + 15?\nAnswer: -8418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*i - 8, 0 = -4*o + 2 + 6. Let m be 21\/2*i\/(-12). Factor m*n - 4 - 1 + n + 1 - 3*n**2.\nAnswer: -(n - 2)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/3 + (-3)\/(-9). Let v(q) = -q**2 + 8*q + 6. Let s(m) = 5*m**2 - 41*m - 30. Let b(j) = z*s(j) + 11*v(j). Give b(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 10683 in decreasing order.\nAnswer: 10683, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 2*o. Suppose -2*z - 4*c = -12, 0 = 2*z + z + c - 13. Let l(b) = -b**2 + 5*b - 3. Let q be l(z). Let h be 8*(q + (-1)\/2). Determine v(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 31. Let w be -2 - 1 - (-1 - -1). What is the nearest to 0.1 in h, 2\/13, w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1, -18, -5, 0.02 in descending order.\nAnswer: 1, 1\/5, 0.02, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -2.7?\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 0 + 11*a**2 + 4*a + a**3 - 5*a**2 - 1. Let w be r(-5). Solve -23 + 7 = w*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2\/5 (c) 3\/328\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*4*10\/((-120)\/(-27)). Suppose -q*j + 2*j + 100 = 0. What is the closest to 0.3 in -5\/2, j, 0.1, -2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4235.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f = -21*f + 3*m - 6075, -5*m = -5*f + 6035. Suppose -f = 18*k - 12*k. Put -4, k, -3 in descending order.\nAnswer: -3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or -46923\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 0.8, 0, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4*g = -200, 2484*w + g = 2486*w + 4*g - 120 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11895889 + 3295889. What is l rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k - 1. Let j(s) = -24*s + 6. Let r(o) = -o**2 + 12*o - 11. Let m be r(9). Determine m*b(v) + 3*j(v).\nAnswer: 8*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 13. What is f(-5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 30 = 3*m, 0 = 6*m - 4*m + 5*f + 32. Let h be 0 - (m - -2 - -1). Suppose 0 = -2*p + h*p - 63. Calculate the highest common divisor of p and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from hhhhddddhyyd.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m**(-1)\/m)\/m)**(-2\/39)\/((m*m**(1\/3))\/((m**(-6)*m)\/m)) assuming m is positive.\nAnswer: m**(-284\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1254034 to the nearest 1000.\nAnswer: -1254000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 + 2*k + 3. Let w be m(-2). Let h be 2 + w - 0\/2. What is the units digit of h\/(-2) + 10\/(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 6:11 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Suppose -9 = -g - b. Suppose 0 = 4*k - c - 3, g*c - 1 = 4*k + 16. Solve z - 4 = k*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-232)\/(-28) - (-2)\/(-7). Let c(h) = -h**3 + 8*h**2 - h + 11. Let m be c(y). Let z = -3 + m. Put z, 1, 3 in ascending order.\nAnswer: z, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, -22, 3, 38, 83, 138?\n\"Answer: 5*d**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 402.\nAnswer: -14\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/16)\/((-9)\/12 - -1). Solve 0 + 0*o**3 + 2\/5*o**4 + 0*o + 6\/5*o**i + 0*o**2 = 0 for o.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11092*n**3 + 41*n**2 + 2*n + 8.\nAnswer: -66552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97067*h**2*j**3 + h**2*j**2 + 2*h**2 + j**3 - j + 9 wrt j?\nAnswer: 582402*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 512?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -71. Let l(h) = -h**2 + 12*h - 19. Let p be l(10). Which is the second biggest value? (a) -1 (b) p (c) 1\/4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 833810 and 48185.\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**6\/120 - 2*m**5\/15 + 7*m**4\/24 - 5*m**3\/3 - 19*m**2\/2 - 16. Let q(t) be the second derivative of z(t). Calculate q(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**4\/7 - 128*t**3\/7 - 120*t**2\/7 + 128*t\/7 + 124\/7 = 0?\nAnswer: -31, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1400.8 + -1400.7999987719. What is m rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.1, -1, 108, 2\/7.\nAnswer: -1, -0.1, 2\/7, 0.5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**3\/3 + 3*k**2 - 4*k - 1. Let m(f) = 8*f + 12. Let x be m(-1). What is b(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 + 85*x - 46*x - 39*x. Let q(w) = -68*w. Calculate q(n(b)).\nAnswer: 204*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 3*m)*(-3*m**3 - 3*m**3 + 2*m**3 + (-3 + 6 - 2)*(m**2 - m**3 - m**2)) to n*m**3 + q*m**2 + d*m**4 + o + t*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + x**2 - 3*x**2)*(-4*x**2 + 5*x**2 + 4*x**2).\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 11 = 14. Find the second derivative of y**5 + 184*y - 200*y + y**z wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnnznnnjnjnnnnn. Give prob of picking 2 n and 1 z.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1885 and 3965?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23796 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**6\/480 + x**5\/120 + 5*x**4\/32 - 222*x**2. Factor f(t).\nAnswer: -t*(t - 5)*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t - 31*t - 58 = -4*h, 34*t = 81*t - 44*t - 3*h + 36 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by 1042846\nAnswer: 58\/521423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3 - 4618402*p**2 + 18473632*p - 18473640 = 0.\nAnswer: -2309205, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 2.1. Let c = -0.368 + 0.068. Sort c, -2\/7, r in ascending order.\nAnswer: c, -2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -9 - 75. Suppose -v + 5*q = 7, 0 = v - 5*v + 3*q - o. Let w = 10 + v. Sort 5, w, -4.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81116616 by -20279154.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (124 - 140) + 0 + 1 + 80.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 92 = 194. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 4*h**2 - 3*h**2)*(38 + 4*h - 5*h - 42).\nAnswer: -2*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:48 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.258 - -0.058. Put k, 0.4, -29, -3 in decreasing order.\nAnswer: 0.4, k, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001454061 rounded to seven decimal places?\nAnswer: -0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -210583 - 6?\nAnswer: -210589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 6)*(10060 - 43783016*r + 43783018*r + 4796) in the form m*r + u and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 445 = 5*z - 4*a, 4*z + 5*a = 347. Calculate the greatest common factor of 3212 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 129495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/((-99)\/1668)*(-6)\/4. Suppose -c*u + 12 = -275*u. Solve 0 = -u*q + 5*h - 25, 5*q - 2 + 22 = -5*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/3327 and -107\/18?\nAnswer: 19962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137.3226 times 0.26?\nAnswer: 295.703876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.036, 326, 41, -5, 2 in ascending order.\nAnswer: -5, -0.036, 2, 41, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqqq when four letters picked without replacement from qqqaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 63 in 3, 1, 11\/3, 0?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 + f**2 - 6*f**3 + 7*f**2 - 2 to m*f**2 + k + v*f + g*f**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 210102 (base 3) in base 9?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 13481*h\/2 + 6740.\nAnswer: (h - 13480)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8338)\/(-22))\/(-1 - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l - 6 + 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -37. Let c be (-2)\/(-4)*(-2 - m) - 3. Suppose v = -4*n - v + 12, -4*v = 0. Put n, 2, c in ascending order.\nAnswer: c, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 359*g - 19880. Let i be z(56). Let t = -4 - -7. Suppose -a = -3*r - 20 - t, -4*a + 5*r = -113. What is the greatest common factor of a and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1180 and 89\/2511866.\nAnswer: 25118660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 + 8*w. Let b(y) = 5*y**2 - 23*y. What is -4*b(k) - 11*x(k)?\nAnswer: 2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v**2 + 0*v)*(-2*v**3 - v**3 + v**3) + (v**3 + v**3 - 5*v**3)*(-v**2 - v**2 + 3*v**2).\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*o - 5 = 0, -o - o = 4*c - 4. Let w = 553 - 538. Calculate the remainder when w is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 2.6.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Let m(z) = 19*z**2 + 1. Let v(n) = n**2. Let q be v(-1). Let f be m(q). Solve -f + 5 = b*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(170)\/(sqrt(30)\/(-5*sqrt(3))) - (sqrt(204)*2*-5)\/(sqrt(144)\/(sqrt(60)\/sqrt(5)) + sqrt(12)).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 3*i**2 - 4*i + 14. Suppose -22 + 4 = 3*x. Is m(x) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 i when three letters picked without replacement from kikkkkikkikkiokiii?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -12*b - 1\/6*b**3 + 1 + b**2 - 1\/12*b**4. Factor a(i).\nAnswer: -(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 3, g: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1106301 and 220.\nAnswer: 1106521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/((-336)\/456)*(-15)\/(270\/36).\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 - 359*m + 4302. Calculate t(14).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 82.\nAnswer: 7\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -18*y - 6. Let q(f) = 26*f + 7. Let r(t) = -2*q(t) - 3*z(t). Let m(n) = 59*n**2. What is r(m(v))?\nAnswer: 118*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1966055\/8 + 245757. Find g, given that 0 + 7\/8*g - o*g**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 11:26 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28353 is divided by 10130.\nAnswer: 8093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 156\/(-143) + (-402)\/(-66). Solve 5*a - 27 = m*g - 2*g, -g - 3*a + 5 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1327 + -1215. Solve -28 = 21*s - a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/12 - (-18)\/(-8). Put -26, 1, w in decreasing order.\nAnswer: 1, w, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ataaffgaaegeaefae. What is prob of sequence gga?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 5*b**2 + b + 7. Give p(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 357 - 166. Calculate the remainder when a is divided by 18\/(-8 - -16 - 61\/8).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 11:19 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - (sqrt(130) - (sqrt(130) - 2*sqrt(130) - sqrt(130))))*-2 - sqrt(130))*-2)\/(-6*sqrt(70)\/(sqrt(7) - sqrt(112))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1)*(-r + r + 2*r) - 3*r + 5*r - 4*r + r - 3*r - 11*r to z + n*r and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9*(11 - (-2130)\/(-195))*13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -36 + 38 + 2*489. Let i = r + -979. Solve 3*j - i = -2*x + 6*x, 5*j + 2 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92916 divided by -356?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1633.9 - 1634.9. Which is the third smallest value? (a) 3 (b) t (c) -2 (d) 231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 6, q: 4}. Give prob of sequence ev.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*d + 25 - 121*d + 3*d + 106*d.\nAnswer: -114*d + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, l: 6, x: 3, w: 1}. What is prob of sequence xjx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*a = 385. Let y = -51 - a. Solve 0*o - 2*o - y = 4*v, 4*v + 4 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43 and -105.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14593702 + 0?\nAnswer: 14593702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/2*(-519968)\/144*-9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-902)\/(-66) + ((-70)\/15 - -4). Solve -10 + k = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 2*h - 2*h + (0 + 0 + 2*h)*(-2 + 2 - 2*h) - h + h**2 + h)*(-2 + 4 - 422*h**2 - 55*h**2 - 2).\nAnswer: 477*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2553.967 + 2549. Let p = -0.033 + h. Let j = 2 + -2. Which is the closest to j? (a) -0.4 (b) 1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6286, -12559, -18836, -25117?\nAnswer: -31402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 2*u**7\/525 + 73*u**6\/75 + 5473*u**5\/75 + 1752*u**4\/5 + 3456*u**3\/5 - 3269*u**2. Factor x(o).\nAnswer: 4*(o + 1)**2*(o + 72)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*w = -114*w + 87. Which is greater: -3\/4 or w?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 2213?\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*o + 275371 - 14617003 = 12262872. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 2, 0, -8.\nAnswer: -8, 0, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, r: 2}. Give prob of sequence prp.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*q = -109, -4*a - 5*q - 9 = -96. Solve -k = -8*k + a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*h - 163*h = 1406 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2505 - 27?\nAnswer: -2533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20503.\nAnswer: 7, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 3663.\nAnswer: 52\/3663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**3 + 4*d**2 + 9*d + 4. Let z(f) = 32*f**3 + 24*f**2 + 55*f + 19. Let b(i) = 13*r(i) - 2*z(i). Calculate b(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u. Let t(m) be the third derivative of 0*m**3 + 0 - 1\/8*m**4 + 0*m + 13*m**2. Determine t(c(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -5*y**3\/2 - 5*y**2 - 4*y - 108. Let b(p) = -8*p - 5. Determine -7*b(m) + 4*l(m).\nAnswer: -4*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1092200 and 19\/19523075.\nAnswer: 156184600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 467 (base 11) to base 5\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -8*i**2 - 122*i - 21. What is r(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5 = 3*f, 0*f + 3*l = -4*f + 3. Solve -4*j - 24 = -2*b, f = -j - 2*j - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*z - 4. Suppose -35 = -5*g - 5*m, z*m = -4*g + 32 + 1. Solve 3*k - u - 12 = 0, -16 = k - 5*k + g*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*w**4 - 211*w**2 wrt w?\nAnswer: 3264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 110 + -2 + 1 - 1. Let i be 3 - x\/28 - 0. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(-3 + sqrt(16)\/sqrt(2) + sqrt(300)\/sqrt(54)))**2.\nAnswer: -154*sqrt(2)\/3 + 683\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 32*y - 144. Determine f(-35).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-2)\/4 - (-364)\/273?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5713675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24000 + 1?\nAnswer: -23444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 19 = 6. Let n = 9 + -7. Solve -2*b + n*m + m + 15 = 0, -u*b - 5*m - 25 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s - 38 = 0. Suppose -269 = -8*o + 27. What is the remainder when o is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - c**2 + c + 1. Let f be s(3). Suppose -2*z = -2*j - 2*j - f, 5*z - 31 = 4*j. Let m = 2.176 - 0.176. Put z, m, 0 in decreasing order.\nAnswer: z, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 + 3*j**3 + 0*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1891515828 to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 8. What is the nearest to 1\/4 in -5, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:54 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**3 - 2*h**2 + 171*h + 197. Is g(22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 18 + -59 + 142 + -24 - -20\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/((-14)\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 2*n**2 + n + 1. Suppose -5*i = -5*z - 30, -22 = 4*z - 10. Let y be 0\/i - (-1 + -1). Let v be c(y). Solve u - 16 = -v*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -61.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (-2)\/6 + (-22)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022001211 (base 3) to base 4.\nAnswer: -12033130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -118\/35844165 and -21\/25.\nAnswer: 179220825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.4 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 - (-18 - 5278\/(-266)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/270666 and 187\/738180?\nAnswer: 8119980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659682200?\nAnswer: 2, 5, 3298411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036235 is divided by 2020?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61 or 1\/495503?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12\/11 (b) 7 (c) 4 (d) -0.5 (e) -2 (f) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 3235777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19 <= -88610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2558449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r + 54. Let f = 199 - 197. Suppose 77 = f*a + 5*n, -2*a + 3*n + 11 = -58. What is the greatest common factor of r and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -110, -121, -144, -185, -250, -345, -476?\n\"Answer: -o**3 - 4*o - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2804807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 20*t**2 - 64*t + 2. Let l be w(-16). Solve l*d + 5 = 2*c - 5, 2*d - 10 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-26)\/65)\/((-2)\/(-10)). Which is the fourth biggest value? (a) m (b) -3 (c) -13\/6 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950395 smaller than 1950395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Suppose -y*f - 26 = -8. Let s(t) = -131*t - 14 - 12 - 6*t**2 + 128*t - 7*t**2 - 10*t**2. Let a(d) = 8*d**2 + d + 9. Give f*s(w) - 17*a(w).\nAnswer: 2*w**2 + w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -819, 838, 7547, 21834, 46225?\nAnswer: 83246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 12:42 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (15 - 9)) + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02869 + 0.029. Round p to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2191*c**4\/4 + 19721*c**3\/4 + 59175*c**2\/4 + 59211*c\/4 + 27\/2 = 0. What is c?\nAnswer: -3, -2\/2191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from yylxfyhlllh.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(3\/4)*j*j**(-13)\/j assuming j is positive.\nAnswer: j**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - x**2 + x - 1. Let w(d) = 26*d**3 - 4*d**2 + 5*d - 4. Let y(k) = w(k) - 3*z(k). Let h be y(1). Let g = 34 - h. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 21*p - 24. Calculate j(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 25 = 5*h, 4*h - 4 = -0*h. Let r = 197 - 188. Let l = r - o. Which is smaller: l or -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1971062.\nAnswer: 2, 985531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*n - 3*r, -n - r = r + 5. Let i = n + 11. Suppose i*g - 3 = 1, g = -5*q + 101. Solve -5*c - q = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 23*g**2 + 78*g**2 - 25*g**2 - 24*g**2 - 31*g**2 - 3*g as x + h*g**2 + v*g and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 133 + 14 = 0. Let g = 26 + i. Suppose 0*p**3 - 2\/3*p**4 + 2\/3*p**2 + 0 + 1\/3*p**g - 1\/3*p = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*n = -15, -w = -5*w + 4*n. Which is smaller: -11 or w?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5\/(a\/a**(-18))*(a\/(a*(a*a\/((a\/a**(2\/9))\/a)*a)\/a))**50 assuming a is positive.\nAnswer: a**(-1126\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5429 - -5428.98762. What is the third biggest value in -3, 1\/4, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -170 - -173. What is the lowest common multiple of 11 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 55\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/(9\/(-21) - (-51)\/(-126))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4612\/3 and 1536 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29576 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164\/21 - -8. Let m = 29\/42 - x. What is the smallest value in 4, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/(-5))\/(32\/(-2680)) and ((-200)\/(-35))\/(-1) - 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 2. What is the least common multiple of m(3) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11945598779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 5*b**2 - b + 18. Let d be l(-4). Let o be 78\/(-9) + d\/9. Let m(t) = 3 + 4 - 1 + 3*t + 4. Determine m(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 2:15 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppespggprgg. Give prob of sequence se.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 1743098?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26513793 rounded to the nearest 10000?\nAnswer: -26510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 202619975 to the power of 1\/2, to the nearest integer?\nAnswer: 14234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - -1*sqrt(77))*6 + 3*(sqrt(77) + sqrt(77) + (sqrt(77) - (-3*sqrt(77) - sqrt(77)))))*4)\/(-6*(sqrt(112)*2 - sqrt(112))*-5).\nAnswer: 11*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-5)\/((-5)\/(-21))). Let b = p - 61\/168. What is the closest to -0.1 in b, 1, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 9 - (91\/13 - 222)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*8\/(-448)*3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 9*h**6\/10 + 9*h**5\/20 - 2*h**4 - 2*h**3 - 11*h. Factor c(l).\nAnswer: 3*l*(l - 1)*(3*l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10))**(21\/4)\/((c\/((c\/((c*c\/(c**14\/c)*c)\/c))\/c)*c)\/((c\/(c\/(c\/(c*c**(-12)))*c))\/c)) assuming c is positive.\nAnswer: c**(-67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - (11 - 35))\/(20\/66*2\/(-4))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a + 108938 = 109792 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-6*sqrt(350)*1)\/sqrt(7) - (sqrt(6050)*-2 - (sqrt(50) + -6*(2 + sqrt(50)))))**2.\nAnswer: -1320*sqrt(2) + 6199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 92.3 and -2.\nAnswer: -184.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 3 - 3)*(-6*k**2 + 58*k - 58*k).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-55))\/((-72)\/33)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 10*n**2 - 93*n**2.\nAnswer: -86*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 0*f - 3*f)*(f + 4*f - 4*f) + 0*f**2 - 2 + f + f - 2*f**2 to the form u*f**2 + l + m*f and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23815961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26405.611143 + -2259039.383557. Let n = 2285338 + d. Let r = 107 + n. What is r rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(20\/9)\/(k*k**(-1\/7)))\/(k*k\/k**5*k*k*k**(1\/48)))**(13\/8) assuming k is positive.\nAnswer: k**(30719\/8064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 75\/(-125)*25\/(-3). What is the derivative of -a*f + 31 - 49*f + 6 + 2*f wrt f?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 13 = -q, -19*q + 20*q + 4*f + 18 = 0. Suppose q*k - 3*z - 108 + 5 = 0, -4*k + 181 = -z. Solve -3*u + 14*u = -k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1046, -2\/71, -0.5 in ascending order.\nAnswer: -1046, -0.5, -2\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**4\/9 - g**3\/9 + g**2\/3 - 7*g. What is d in c(d) = 0?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5545677 + -5545860.99668. Let f = 184 + v. Round f to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*h + 3 + 25*h + 57*h.\nAnswer: 48*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -12*h**2 - h. Let t(y) = -12*y**2 - y. What is 3*t(k) - 4*z(k)?\nAnswer: 12*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*n - 101. Let c = 50 - n. Let d be c + -7 - (-1 - -3). What is the highest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 18. Calculate f(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxkxkik. Give prob of picking 3 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = 2*v - 7*v. Suppose -5*d + v = 2*o, 0 = d - 4*d - 3. Let r = o + -15. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + 46. Suppose -g - 26 = -9*z. What is the greatest common divisor of z and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42\/4763203 or 1?\nAnswer: -42\/4763203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 - s + 3. Let d(b) = 9*b**2 - 3*b + 6. Let p(a) = -3*d(a) + 7*z(a). Determine p(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*r - 24. Suppose r*h = 8, -6*h = q - 7*h - 43. Calculate the highest common factor of q and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*l**5 - 6*l**3 - 4092*l**2 + 20833252*l wrt l?\nAnswer: 280*l**3 - 36*l - 8184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 56 + 600. Suppose 3*d + x = 511. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*o + 109*o - 230*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 159831*k - 5274408. What is l(33)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101852573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011100110001 (base 2) to base 4.\nAnswer: -3130301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1277 + 1664. Calculate the highest common factor of 688 and f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 26 = g. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2301 - 128*d + 267*d - 139*d + 2301 - 144*d**3.\nAnswer: -144*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22 - -670721.469\nAnswer: 670743.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65340, 65386, 65430, 65472, 65512?\nAnswer: 65550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 6*o**2 - 4*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {h: 11, u: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*q + 2*s + 3*s, -5*q = -5*s + 20. Let z be q\/((-3)\/(-54)*-2). What is the highest common divisor of z and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1230050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -14. Let k = 0.0425 + 746.9575. Let u = k + -748. Which is the biggest value? (a) 2\/23 (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 17*g**3 + 7211*g - 7211*g.\nAnswer: -17*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 - t - 6. Let q be o(-2). Suppose -154 = -q*n + 278. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182.088 + -182.088. Let q = -1.66 - -1.4. Which is the closest to -2\/3? (a) -1\/9 (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2532517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4024, 8038, 12056, 16078, 20104, 24134, 28168?\n\"Answer: 2*i**2 + 4008*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 48.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t\/(((t\/t**(2\/11))\/t)\/t))*t*t))\/(t\/(t*t**(-29)))*t*t*t\/(((t**(-6\/7)*t)\/t)\/t)*t*t*t**33*t assuming t is positive.\nAnswer: t**(1004\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -52?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = -0*q - q, -2*q - 4*s = 50. Let a = q - -22. What is the remainder when 3 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00305554 to 5 decimal places.\nAnswer: 0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 748*l**2 - 376*l**2 - 54*l**3 - 372*l**2.\nAnswer: -54*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.434 + 3.4. Let q = v - -0.034135. Round q to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from {r: 3, z: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(0*q + 3*q - 5*q)*(-2 - 1 + 5)*(4 + 4 - 3) to the form d*q + j and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70396324, 70396338, 70396352, 70396366, 70396380?\nAnswer: 70396394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 3*n**2 + 2*n - 3. Let g be i(2). Suppose 0 = -g*c + 33 + 87. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*r + 18, 2*r - 14 = -g - 4*g. Suppose f + 2681 = r*f. Let y = f - 1878. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/44 and ((-1)\/14)\/(-7 - (-16593)\/2373).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1979*x**3 + 320 wrt x.\nAnswer: 5937*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 21*b**2 - 10*b + 140. What is the tens digit of k(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1856104 and 33\/34337924?\nAnswer: 68675848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7176 divide 599966822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 less than 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyya when four letters picked without replacement from yyayyaaayyayyyyyyyy?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 174*n - 2. Let d(c) = 24*c**2. Determine w(d(z)).\nAnswer: 4176*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(128) + sqrt(4)\/(sqrt(18) + sqrt(2)) + -3 - (5*(-2 + sqrt(242)) + 0))**2.\nAnswer: -1757*sqrt(2)\/2 + 63393\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8 = -0*q + 4*q, 0 = -5*q - 5*r. Solve 2*u - q = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1485\/(-22))\/(-15)*(-2)\/18*-70.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*m = 223*m + 6. Factor 2\/3*c**2 + 1\/3*c + 0 + 1\/3*c**m.\nAnswer: c*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020001 + -1211201201?\nAnswer: -1212221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((136\/(-14))\/(-1))\/(((-77356)\/(-4893))\/(-166)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*j + 56*j = -20. Let f(v) = -v**3 + 12*v**2 + 2*v - 14. Let h be f(12). What is the greatest common divisor of j and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/9 + 713*r\/9 + 55000\/9.\nAnswer: (r + 88)*(r + 625)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 11:19 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 54298*r - 7257986. Calculate p(134).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, -2\/953, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 342, 883, 1770, 3171, 5254, 8187, 12138?\n\"Answer: 28*p**3 + 5*p**2 + 330*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -64. Let g = -26 + p. What is the second biggest value in -3, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**4 + t**3 - 2*t**2 - 2. Let z(a) = -28*a**4 - 6*a**3 + 12*a**2 + 59*a + 14. Let s(u) = 6*n(u) + z(u). Find the second derivative of s(k) wrt k.\nAnswer: -264*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967280.\nAnswer: 2, 3, 5, 7, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 919568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from brbrbrbbrrrbrrbr?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -163, 4 in ascending order.\nAnswer: -163, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**3\/6 - b. Let n(h) = 2 + 52354*h - 2 - 52353*h. Give v(n(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 8436?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177446?\nAnswer: 2, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*d**2 - 247*d**2 - 385*d**2.\nAnswer: -544*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -3\/5 (c) 5.8 (d) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000204 rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 3*m + 5. Let a be o(6). Let y = -8 - a. Find the third derivative of 5*z**2 - z**5 - 4*z**y - 2*z**2 wrt z.\nAnswer: -300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1396 in -2\/9, -4, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 325671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12732)\/(-5305)*2\/36?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2894721008.\nAnswer: 2, 180920063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 13*p**6\/120 - p**5\/30 + p**4\/12 - p**3\/6 - 13*p**2. Give t(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 39, 54, 71, 90, 111, 134?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-10\/11)*((p*(p\/(p\/(p*p**(-4\/9))*p))\/p)\/p)\/p)\/(p**34\/(p*p*p\/p**9*p*p*p)) assuming p is positive.\nAnswer: p**(-3716\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r + 8*r + 6*r - 22*r. Let h be ((-7)\/14*-8)\/(0 + -1). Determine z(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 4. Let x be q(-2). Suppose -14*i + 16 = -x*i. Suppose -u + 11 = -i*c + 51, -2*u - 8 = 0. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 1, 27\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366532338.\nAnswer: 2, 3, 109, 560447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-3))*z*z)**(-3\/7))**3*((z*z**(-2\/3)*z*z)\/z*z)\/(z\/((z**(-1)\/z)\/z*z))*z**(-2)*z**6 assuming z is positive.\nAnswer: z**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*5 + sqrt(19) + (sqrt(19) + 2)*5 + sqrt(19).\nAnswer: 10 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 18748623*s**3 - 6121*s**2 + 6121. Let r(l) = 6127*l**3 - 2*l**2 + 2. What is -6121*r(u) + 2*t(u)?\nAnswer: -6121*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.107 - -0.893. Which is the smallest value? (a) -0.1 (b) p (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 12?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0389*-1.37\nAnswer: -0.053293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/6)*j**(-5\/2)*j\/j**(-4\/3)*j*j**4*j)\/((j\/((j*j*j**(-8)*j*j)\/j*j))\/j*j**4*j)**(-2\/41) assuming j is positive.\nAnswer: j**(264\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -28. Let h(s) = 24*s**3 - 2*s**2 + s. Let m be h(1). Calculate the highest common divisor of m and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 48. What is the smallest value in 4, 2\/3, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -185598+7738\nAnswer: -177860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1035 + 1810. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 326025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 52*y**2 + 13 - 39 to the form v*y**2 + p + f*y and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 61*n - 301. Let q be 4 - 1 - (294\/30 - n). Factor -2*l**3 - l + 2*l**2 + l**4 + q - 1\/5*l**5.\nAnswer: -(l - 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 599 + 114. Calculate the highest common divisor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 2*p - 3*p)*(21*p + 29*p + 7*p) + 7*p - p**2 - 7*p + 0 + p**2 + 0 as f*p**2 + o + g*p and give f.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 85.51474mg?\nAnswer: 0.00000008551474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 4*u**2 + u. Let s be n(4). Suppose -5*l - 22 = -0*c - 4*c, s*c - l = 14. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i - 16*i - 138 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from kkkkooocoo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/14*(-40)\/100?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28088 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((33\/30)\/11)\/1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377585657?\nAnswer: 17, 22210921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/6)\/((-2)\/(-280)). Let p be 73\/2 + 1\/2. Let z = r - p. Calculate the remainder when z is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from lhstk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-32560)\/2706)*(-3)\/(-4)*2.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 15 = 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 11\/20*b**5 - 12*b + 0*b**3 + 0*b**4 + 6*b**2 + 0. Differentiate r(y) wrt y.\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 - -9.9. Let k = d + -6.80072. Round k to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 856 + -954.4. Let a = -5.4 - s. Let c = a - 92.5. Sort c, -0.3, 1\/8.\nAnswer: -0.3, 1\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-3 - 0)) + 21. Let x = 37 - q. Suppose 5*w - n + 61 = 70, 4*w + 3*n - 11 = 0. Put 0, w, x in ascending order.\nAnswer: 0, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/3*(-18)\/(-2). Let n = b + 20. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 - 210. Find the common denominator of 9\/3 + y\/48 and -63\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 20*n**2 + n - 49. What is u(20)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -119*c**3 + 2*c**2 + 5 - 115*c**3 + 4*c - 118*c**3 + 351*c**3. Let p be f(0). Solve 0 - 15 = -p*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102998616?\nAnswer: 2, 3, 7, 31, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-132)\/(-2*8\/(-8)). Sort c, -3, 3, 5 in decreasing order.\nAnswer: 5, 3, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1221595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -12. What is the closest to h in 3, -0.6, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6459920118?\nAnswer: 2, 3, 358884451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 26 = -230 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145711 and 1444.\nAnswer: 11074036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 20*k**3 - 4*k + 6. Let u(y) = -59*y**3 + 11*y - 18. Let n(b) = -11*m(b) - 4*u(b). What is the first derivative of n(o) wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neee when four letters picked without replacement from eeeneeeeenneeeeeeeee?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 2, n: 1, e: 2, g: 1, v: 1}. Give prob of picking 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 988974 and 2197720?\nAnswer: 19779480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4\/7, -1\/3, -1\/6, 0.4, 94 in descending order.\nAnswer: 94, 0.4, -1\/6, -1\/3, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7952 and 39216282?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-12 - (-782)\/51))\/((-8)\/(1024\/(-12)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*z**2 + 224608*f**2 - f*z + 34*f + 2590*z**2 + 2 wrt f?\nAnswer: 2*z**2 + 449216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*j - 2349, -3*j - 3715 = -4*c - 1384. Calculate the smallest common multiple of c and 260.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1528 is divided by 469.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q + 320. Let z(f) = f**3 - 10*f**2 - 10*f - 3. Let j be z(11). What is the greatest common factor of j and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -2275423.\nAnswer: 2275422.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2833 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1132112?\nAnswer: -1132123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18962.603 or -0.03?\nAnswer: 18962.603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1363?\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0093 + -44.3907. Let s = n + -9.6. Let t = s + 53. Sort 0, -10\/9, t, -2.\nAnswer: -2, -10\/9, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3*p - 4*p = -2*w - 8*p + 16, -2*w = -4*p + 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-9 - -11) + -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398161857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/2 + (-55984)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-105))\/(2\/(-5)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13253\/9 + -1471. Find the common denominator of 52\/261 and c.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 2 - 5 + 4. Suppose 33 = -5*r - 12. Let a be r\/2 - 4\/8. Give g(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/20*2)\/((-6)\/(-15))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -322 - -11915\/37. Let y = 2 + -1. Are y and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:10 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10612 + -5316. What are the prime factors of h?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -2)\/(44\/8). Let l = -17\/3627 - -3213641\/25389. Let a = 127 - l. What is the nearest to 1 in j, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98202 less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2386 - 562 = -2*y, 3*t = -4*y + 4419. What are the prime factors of t?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59a (base 14) in base 7?\nAnswer: -3153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**(4\/15)*o**(-2\/11)\/o assuming o is positive.\nAnswer: o**(91\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 + 33 = -17*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p + 121. Give m(13).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149978 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:35 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 79919?\nAnswer: -7991c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r**2 - 2*r**4 + 2*r**2)*(217 - 75 + 5 + 25 + 267) to t + b*r + n*r**2 + w*r**4 + a*r**3 and give w.\nAnswer: -878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + -1. Let p = 2.955 - -0.045. Which is the closest to -0.1? (a) o (b) p (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 45 = -2*j + 16*j - 3*o - 7, 4*j = -5*o + 31 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4905599851 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15124, 30238, 45344, 60442, 75532, 90614, 105688?\n\"Answer: -4*k**2 + 15126*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-258*3\/4)\/(6\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1374*f + 9 - 9 + 139*f as x*f + s and give x.\nAnswer: 1513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.063 (b) 61 (c) 0.1 (d) 2 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n + 1. List the prime factors of s(9).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117553\/18 - -6536. Calculate the common denominator of u and -97\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q - 37*q = 2*y - 22, 0 = -q - 5*y + 4. Let n(f) be the third derivative of f**4\/24 - f**3\/2 - 4*f**2 + 1. Let l(t) = 3*t - 10. Give q*l(h) + 21*n(h).\nAnswer: 3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -400301032 (base 5) to base 6\nAnswer: -53405505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9531 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2032625 is divided by 72?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4*t - 78, -2*c + 0*t = t - 47. Let l = c - 15. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/58400 and -17\/7300?\nAnswer: 58400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 8022293797 to the nearest 1000000.\nAnswer: 8022000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/5)*k)**(15\/7))**(-2\/21)\/((k**1)**15*(k\/(k*k*k**(3\/7)))\/k*k*k**(-3)*k) assuming k is positive.\nAnswer: k**(-583\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*b + 29, r = -b - b + 29. Calculate the remainder when r is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460341689.\nAnswer: 3, 486780563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 4. Let o(g) = g - 3. Let j be o(3). Let r be z(j). Find p, given that 3*p**5 + p**4 + 3*p - p**r - 6*p**3 + 0*p**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -1\/336*n**8 + 0*n**3 + 0*n**4 + 0 + 13\/10*n**5 - n + 1\/120*n**6 + 0*n**7 - 16*n**2. Find the third derivative of u(z) wrt z.\nAnswer: -60*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (17 - (10 - -3) - (6 + -9))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 6:30 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8944 or -230?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*22659520.5\nAnswer: 11329760.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 3:42 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -999.570009 rounded to two decimal places?\nAnswer: -999.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73141 is divided by 36567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/29, 9.3, -0.1?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (27 + -42 - (17 - 1))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -g + 3*g. Let c = g + 131. Solve -4*k + 13 - 1 = c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 + 90916*z - 13 - 90919*z)*(2 + 2 - 6).\nAnswer: 6*z - 158","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -12*h. Let y be s(-1). What is the greatest common divisor of 30 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 7 + 1)*(0 - 1 + 2 - f) + (-3 + 2*f + 3)*(2 - 1 - 2) to the form i*f + b and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064586339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/3 (b) -5 (c) -0.4 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 24. Suppose 50 = -5*v - 5*a, -v + 4*a + 10 + 0 = 0. Is (-232)\/v*n\/10 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 130? (a) 0 (b) -2 (c) -268 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*d - 220*d + 62*d + 125*d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 4*j + 7. Suppose 3*d - 48 = -3*b, -3*b - 4*d = d - 48. Let z = 19 - b. Let a be i(z). Solve n + 3 = a*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 - 4. List the prime factors of s(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -59*s - 580. Give u(-9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1377, -2778, -4197, -5640, -7113?\n\"Answer: -k**3 - 3*k**2 - 1385*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(sqrt(720) - 2*sqrt(720))**2 + sqrt(720))*-2.\nAnswer: -24*sqrt(5) + 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from xqxoooqiohxro?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -8 + 2*i**3 - 4*i + 323*i**2 + 4 - 626*i**2 + 309*i**2. Let b(r) = -3*r**3 - 13*r**2 + 7*r + 7. Calculate -4*b(k) - 7*y(k).\nAnswer: -2*k**3 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82022795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(6\/(-4)) - (0 - 5). Let a(l) = l**3 - 9*l**2 + 16*l - 11. Let z be a(c). Factor -3 + 36*y**z - 112*y**2 + 62*y - 5 - 68*y**3.\nAnswer: -2*(y + 4)*(4*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -1 + 0*q**2 + 1\/3*q**3 + 0*q. Let o(k) be the third derivative of k**4\/12 - 3*k**2. Calculate o(v(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1629 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m + 14. Let r be j(-4). Sort 3, r, 2, 5 in descending order.\nAnswer: 5, 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-11 + 7 - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3399.9745 - 3775.972885. Let l = 376 + f. Round l to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 131170 + -12?\nAnswer: 13115d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 + -56. Are d and 33 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 1353?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.01, 3\/4, 2\/5, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 7*g - 9. Let j(d) = 2*d**3 - 14*d**2 + 8*d - 3. List the prime factors of j(g).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Let v(w) = -w**3 - 5*w**2 - w - 2. Let s be v(-5). Let r be -3 + k\/(5\/s). What is r rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 26*m**2 + 52*m - 462. Calculate i(-23).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*v - 2*v + 2*v)*(-9*v + 429*v + 39*v)*(-3 - 1 + 2) to the form q*v + j*v**2 + z and give q.\nAnswer: 918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(7)*4)**2 + sqrt(175)*-5 - ((-1*sqrt(210))\/sqrt(6))\/(sqrt(5) - ((2*sqrt(720) - sqrt(720)) + sqrt(720))).\nAnswer: -576*sqrt(7)\/23 + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 146*b - 21. Is n(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-4\/3))\/(s\/(((s\/(((((s\/(s\/s**5)*s)\/s)\/s)\/s)\/s))\/s)\/s)))\/(s**4\/(s*s\/s**(2\/19))) assuming s is positive.\nAnswer: s**(-215\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 131 + 4 = 0. Suppose 5*b = 3*r + 293 - o, -2*b + 2*r = -108. What is the least common multiple of 12 and b?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.19178*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1652 = 5*x. Suppose -i - 49 = -0*i + o, 5*i = 4*o - x. Let b be 45\/105 + i\/14. What is the nearest to -3 in -0.3, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = 6*b + 5*h, -2*b - 2*h = 0. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1)*p)**24*p**(-1\/2)\/(p**(-2\/9)\/p)*((p**(2\/3))**(-20))**(-2\/23) assuming p is positive.\nAnswer: p**(10715\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200325 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29831\/8 - -3729. What is the fourth smallest value in -4, h, -0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 463654902 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.08.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 97487137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59\/1239)\/((-2)\/(-18))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/15 (b) 116 (c) 0.2 (d) -4 (e) -8\/3 (f) 0.07 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0 - 15. Suppose -7 = t*o + 8. Which is the second smallest value? (a) 3 (b) o (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -705, -700, -693, -684, -673, -660, -645?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28, 27, 16, -11, -60, -137?\n\"Answer: -o**3 + o**2 + 3*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13894*h - 3 + 4 + 11*h**2 - 13910*h to w*h + m*h**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -79.95 greater than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1 + 4 - 4*s)*(-3*s**4 + 2*s**4 + 5*s**4).\nAnswer: -16*s**5 - 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**0*v\/v**(-18)*v**24*v**(-25) assuming v is positive.\nAnswer: v**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*p - 86*p**2 - 5 - p**3 + 87*p**2 + 3 in the form g*p**2 + a*p**3 + r*p + b and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5544\/(-165)*((-55)\/120)\/11\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/6 + (-24)\/(-36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*f**3 - 8*f**3 - 44*f**3 - 9*f**3.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 324311 (base 5) in base 12?\nAnswer: 659a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (13 + -16) - (3 - 2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f - 46*f + 5*f**2 + 11*f.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -55, 4, 0.25?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 902876 (base 10) to base 12.\nAnswer: 3765b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 14. Let a be t*16\/28*1. Suppose 4*j = -z + 78, -2*z = -a*j - j - 104. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0422 and -4.\nAnswer: -0.1688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (795497*y - 795497*y - 3*y**2 - 488)*(3*y**2 - y**2 - 3*y**2).\nAnswer: 3*y**4 + 488*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 14 = -2*a, -5*i + 2*a - 3 = 2. Solve -4*c - 2*s = -11 + i, 0 = -2*c - 2*s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(1\/7)*c))\/(c\/c**(3\/10)) assuming c is positive.\nAnswer: c**(-129\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from lcnnceeehheenhl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-45)\/20)\/((12\/8)\/1)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 11. Suppose 2*t + g = 77, 0 = -0*t + 2*t + 5*g - 97. Let h = b - t. Solve u + h*u = 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1496 and 1826.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-288)*117*72\/39?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (11 - 22)) + (-17 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1635267874 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*d, 0 = k + 4*d + 4 - 14. Let g = 478 - 670. Calculate the lowest common multiple of k and g\/(-14) - 2\/(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 8*w**2 + w + 7. Let v be 2\/(-10) + 82\/10. What is the tens digit of b(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2363 = o - a - a, 2*o = -4*a + 4750. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33128*r**3 - 6095548*r**2 + 280394656*r + 33856 = 0.\nAnswer: -1\/8282, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4 - 0) + 4 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4 - 239*w**3 + 238*w**3 as j*w**2 + h*w + a*w**3 + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95.1 - 4712.667.\nAnswer: -4617.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = p - 24, 4*p - g - 3*g = 32. Suppose p*i = -14*i + 954. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**2 + 33*c**2 - 8*c**2 + 47*c + 21*c**2 wrt c?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -278032*l + 2224264. What is y(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 1}. What is prob of sequence eeg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:18 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010784 to 5 decimal places.\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 80. Let o be i(12). Solve 4*u + o = 56 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-72)\/(-5))\/(-24))\/((-13)\/(-5)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**3 + 126*w**2 + 40*w + 391. Calculate n(-25).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-148)\/(-518) - (9264\/(-112) - 3).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2022)\/(-1348))\/(186\/4).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from {f: 6, q: 1, b: 2, g: 4, u: 7}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -152961 to the nearest one hundred.\nAnswer: -153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3*i*t**3 - 2*h**3*i - h**3*t**3 - 22*h**2*i*t**3 - h**2*t**3 - i*t**3 wrt h.\nAnswer: -6*i*t**3 - 12*i - 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 41 = -29. Let d(z) be the first derivative of -2*z**5 + 3*z**5 - 5*z**3 + 5*z**2 - 3 + 0*z**5 - a. Factor d(s).\nAnswer: 5*s*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuftttufxbftu. Give prob of sequence ufx.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2 + y**3 - 5*y + 8*y + 3*y**2 - 8*y. Let n be j(-4). Solve n*t + t + 18 = 5*p, p = 4*t + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 14558*v - 174728\/3.\nAnswer: 2*(v - 4)*(v + 21841)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 2\/3*m**3 + 0*m**2 + 3 + m. What is the derivative of p(j) wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251.89m in nanometers?\nAnswer: 1251890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*u - 42 = 242*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (1 - 100)) + 22 + (-9 - (-18 + 28))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -i + 38, w + 64 = 3*w - i. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.92295 + 0.02295. Which is the nearest to -12? (a) 0.4 (b) n (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*a - 0*a - 619, p - 466 = -3*a. Is a a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1282 - 1254 = 2*a. Let x = a - -2174. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/11816 and -115\/136728.\nAnswer: 957096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 - 135. What is the lowest common multiple of 42 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - 4*t + 15 = 0, -5*s + t = -20. Suppose 5*l - s*m = 15 + 30, m - 2 = 0. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/11)*x*x**(-5\/2)*x)**(-24)\/((x**(-2)*x)\/(x**(-1\/7)*x))**(-26\/9) assuming x is positive.\nAnswer: x**(-10522\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196147 and 2?\nAnswer: 392294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 7*a - 16. Let r be y(11). Suppose -27*l = -r*l. What is the closest to l in -3\/2, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100*((-2)\/(-20))\/(60\/8850)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2587 divided by -2587.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrmrmmrmrmrr. Give prob of sequence mmrr.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21083.0000000178 - 21083. Round o to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from isstsstitssiisti?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 11*x**2 - 10*x + 4. Let w be b(-10). Suppose -w*q + 6 = -10. Let d be -1*(q - (5 + -1)). Solve -2*c - 2 - 2 = d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/75*3\/((-18)\/15). Suppose y - 7993 = -2*z, 0 = -s*y - y - 2*z + 23979. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15380, -18758, -22122, -25466, -28784, -32070, -35318, -38522?\n\"Answer: g**3 + g**2 - 3388*g - 11994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18304 * 3.\nAnswer: -54912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12353 (base 7) to base 16\nAnswer: -cc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1700) + 2 + -2*sqrt(1700))*-6)**2*-1.\nAnswer: -245376 + 5760*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccclccccllc. Give prob of sequence ll.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.882 - 34.882. What is the nearest to n in -4, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-443065)\/(-10))\/(-7)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -5*m + 5, 0*b - b + m = -3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 = -6. Let v be (k\/(-2)*-12)\/(-1). Let o(u) = -u**2 - 5*u + 12. What is the lowest common multiple of 28 and o(v)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2618819713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {c: 2, y: 3, t: 4, a: 2, f: 2, v: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18 + -1 + 12)*-24247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 261346*z**6 - 7*z**2 - 3*z + 1621?\nAnswer: 31361520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178 - 75. Let j = i + -31. Suppose -22 = 2*h - j. Solve -u = -4*w + 19, 5*u + 0*w - h = -4*w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19879591 by 19879591.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*b + 5600. Round b to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-88)\/(-5) + 4\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*w + 1. Solve 0*r - w = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/204)\/((-212)\/(-34))?\nAnswer: -1\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -1, -15, -4, 661, 2 in decreasing order.\nAnswer: 661, 39, 2, -1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/569394 and 29\/756?\nAnswer: 3416364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 - 7*a + 5*a**4 + 2*a**3 - 2*a - 4*a**4 as u*a**3 + i*a**4 + m + o*a**2 + l*a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002288 to 7 dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-9 - 2 + 2)*(-4*r + 3*r + 0*r) + 2 + r - 2)*(0 - r**3 + 0) in the form t + b*r + z*r**4 + v*r**2 + j*r**3 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = w, 5*r - 14 = w. Suppose 67 - 16 = r*p. Let a = p + -15. Solve -5*s - d - 6 = -1, 18 = -4*s + a*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6276*q + 3137*q + 3150*q.\nAnswer: 11*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2414 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3739168*c**3 + 128886.\nAnswer: 11217504*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by -212743\nAnswer: 45\/212743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -309268023736 from 0.6.\nAnswer: 309268023736.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-21)*2)\/((-4)\/(-18)*46224\/(-336)).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.106, 1\/10, -2, -11\/7?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from {w: 3, q: 2, b: 1, u: 7, h: 5, d: 2}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -28595*p - 142826. Calculate m(-5).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i - 7 = -3*t, -4*t + 20 = -4*i. What is the second derivative of -16*m**3 + 16*m**t + 7*m**4 - 2*m wrt m?\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 at most as big as 901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i + 19 + 17 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1656*l**2 - 4332 - 15548*l + 2747 + l**4 - 15991 - 77*l**3 + 294*l**2.\nAnswer: (l - 26)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04367836 rounded to four dps?\nAnswer: 0.0437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9234697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 5\/4, 0, -0.1, 7\/4, 4\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -25*s + 173. Let p be o(7). Let i be ((-28)\/42)\/(p*(-14)\/(-36)). Determine n so that i*n - 2\/7*n**2 + 8\/7 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 628*s**2 - 402*s - 3 wrt s?\nAnswer: 1256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 43\/4 of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-702)\/(-4) - 4\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12381*a**4 + 15*a**2 - a - 10 wrt a.\nAnswer: 297144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + v - 13, 198*h - 90*h - 94*h + 5*v - 137 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 66*a + 5. Let i be k(0). Solve -29*h = -24*h - 5*m + 15, -15 = i*h - 4*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2293714 to the nearest integer?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 0.19 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -1. What is the closest to w in 2, 1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 94?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -62, -3, -2\/19, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4204 in -0.4, 156, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3190 and 86?\nAnswer: 137170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.042 and 0.072661847.\nAnswer: 0.114661847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 0 + 0*p**2 + 22\/21*p**3 + 1\/42*p**4 - 125*p. What is m in c(m) = 0?\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2922455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 2:14 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 3 - 5, -i - 5*q - 10 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 14 = -3*f. Let d be (f\/(-2))\/(288\/(-42) - -7). Solve 5*o = d*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-12)*-4*3. Let j be ((-6)\/4)\/1*-2. What is the third derivative of a*f**2 - j*f**6 + f**6 - f**2 wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 27, 4, 2, -2 in descending order.\nAnswer: 39, 27, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w - 110*w**3 - 68*w**3 + 277*w**3 - 84*w**3 + 17*w - 33*w.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 - 71. Let f be 186 + 6*(-7)\/((-42)\/4). What is the greatest common factor of x and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144186.9cm in meters?\nAnswer: 1441.869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -36. Is z + -22*(-914)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 0*g + 228. Let r = g - 29. Suppose -2*w - 1 = -3*w, 5*w = -3*j + 20. Solve 2*s - j*s + r = -5*x, 2*s + 2*x = -8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 14*t**2 + 27*t + 20. Determine y(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 504.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11758 != -11755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Suppose 4*u - 16 = -2*g, -q*u + 16 = 1. Suppose 5*c = g*k + k + 205, 0 = 4*k - 20. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 7*l = 23, -11*l - 3*l + 56 = 0 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c41 (base 14) in base 10?\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-740792)\/(-40) - (-9)\/(41 - -4). Round j to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 184, 153, 96, 7, -120?\n\"Answer: -a**3 - 7*a**2 - 3*a + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4 - 130*u**3 + 5904*u**2 - 104222*u + 482447 = 0.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 e when four letters picked without replacement from rrrrreerrrrrrrrrrrrr.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*d - j, 5*d - 2*j - 17 = -0*j. Suppose 5 = -5*b, -d*x + 5 = -b + 2*b. Find the third derivative of 2*g**2 - 4*g**x + 3*g**2 - 4*g**3 wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12957 divided by -179?\nAnswer: 12957\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -131221.\nAnswer: 1\/131221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiii. Give prob of sequence ii.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4388354533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 67, -2, -0.457, 2?\nAnswer: -0.457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 266\/98 - (-2)\/7. Suppose 35 + 16 = a*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.263053 litres to millilitres.\nAnswer: 2263.053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (219 + -311 + 90)*114\/4?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {t: 2, s: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27006.\nAnswer: 2, 3, 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**3 + 20*a**2 + 32*a + 16 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 39*l. Let u(h) = -h. Let o(f) = -g(f) + 4*u(f). Let z(t) = 9. Let c(p) = -7*p + 252. Let x(w) = -c(w) + 28*z(w). What is o(x(r))?\nAnswer: 49*r**2 + 245*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/414 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 321*h + 4*h**2 - 321*h + 2*h**2. Let p(n) = -2*n**2. Calculate p(b(g)).\nAnswer: -72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/3, 22003, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(245) - ((-1 + sqrt(245))**2 + -2 + sqrt(245))).\nAnswer: -241 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.5 rounded to zero dps?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-353)\/42007*238\/112*-20.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.82*-0.4.\nAnswer: -0.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/14)\/(16\/(-56)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -161 * -1\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -299 and 19.1.\nAnswer: -279.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**5\/60 + 11*c**4\/18 + 145*c**3\/18 + 50*c**2 - 3*c - 99. Factor k(o).\nAnswer: (o + 5)**2*(o + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p + 7 = 0. Let s(d) = -2*d + 17. Let z be s(p). Suppose -z*w + 2 = -3*a - 19, -3*a + w = 15. Sort a, 5, -1.\nAnswer: a, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/(-18))\/(24\/(-36))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d**2 + 3 + 3*d**2 - 6)*(0 + 3 + 0)*(2 - 4 + 1) as u + a*d + q*d**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 183 + 3185991*r**2 - 7 - 3184622*r**2 wrt r?\nAnswer: 2738*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 7487*s + 4930*s - 2 - 4.\nAnswer: 12417*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -258 * 0.003.\nAnswer: -0.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.65712 to three dps.\nAnswer: -0.657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-48) + (-26)\/(-8). Solve 0*s + 3*b + 14 = 5*s, -4 = -l*s + 4*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 53563476 and 160690427\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y + 3. Let f be s(1). Let p be -1 + f\/9*6. Suppose -3*m - p*h = -m - 27, 3*h - 21 = -m. Calculate the remainder when m is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5 - 331*w**4 - 7730*w**3 - 12796*w**2 + 30904*w + 56480 = 0.\nAnswer: -20, -2, 2, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*g - y, -34 = 5*g + 5*y + 1. What is the nearest to g in 0, 14, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 290777738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/852 and 46\/781.\nAnswer: 9372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/44 and (-2)\/(-8)*303\/33?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 25*r**2 + 9*r + 9. Is s(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 17 = 5*l - 3*l, 4*l - 21 = -5*u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 144\/13*s**2 + 94\/13*s**3 + 0 + 24\/13*s**4 + 2\/13*s**5 + 72\/13*s = 0.\nAnswer: -6, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1280\/68 - (1197\/(-323))\/21.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 1\/3, -4, -2, -11.7, -1 in ascending order.\nAnswer: -11.7, -4, -2, -1, 1\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times 0.2\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Let k(d) = d**3 - d**2 - 2*d - 2. Let f be k(-1). What is the closest to 4 in -3, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:12 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124\/3 + -41. Let m be (4 - 5 - -5) + 1065\/252. Let z = m + -57\/7. Put z, b, 2 in descending order.\nAnswer: 2, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1245c - -5?\nAnswer: 12464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 22, 70?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/(-2))\/(-3))\/(99\/(-11)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 9*o - 20. Let j be w(5). Let m(y) be the first derivative of 2 - 1\/4*y**3 + 1\/16*y**4 + j*y + 0*y**2. Find r such that m(r) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 118000541\nAnswer: -236001082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-34 + 2 - -48).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*l - 28 = 0, -3*l - 4 - 5 = 3*n. Suppose n*p + 2*p + 32 = 0. Let v be (-6)\/(-1)*p\/(-6). Solve 5*a - 22 = 2*r, -3*r - v = -a - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 252 = 2*c, 5*q = 2*c - 26 - 226. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -68. Is 470 + k\/(-6)*6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 22 = -2*d, -35*d = 16*j + 4*j + 31*d - 65*d - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 229. Let q(l) = 290*l. Calculate q(c(p)).\nAnswer: 290*p + 66410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-6 - (-3 + -4)) + -5 - 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.6? (a) -49 (b) -1.2 (c) 2\/9 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*q + 5*j + 86 = 0, -4*q + 3*j - 144 = -204 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -436035656 rounded to the nearest 100000?\nAnswer: -436000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5 - 4*w**4 + 6*w**3 + 16*w**2 + 8*w = 0. Calculate w.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 13*a - 14. Let b be f(-5). Put b, 4, 3 in descending order.\nAnswer: b, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 12*o + 2. Let l = 25 + -15. Calculate the lowest common multiple of k(l) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12861, -25053, -37233, -49395, -61533, -73641?\nAnswer: -85713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1747*y - 5240. Let p be f(-3). Solve p = -8*u + 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51.27535 - -0.27535. Which is the second biggest value? (a) -0.013 (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13520 by 130.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(242) + 1) - 6*(2*sqrt(2) + 4)**2) + -5.\nAnswer: -147 - 74*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(-4*sqrt(40)) - (((sqrt(209) - ((sqrt(209) - 1*sqrt(209)*3 - sqrt(209)) + sqrt(209))) + sqrt(209))\/sqrt(11))**2)*3.\nAnswer: -912 - 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/2 - 25407*p**3\/2 - 1144857*p**2\/2 - 12293845*p\/2 + 6732054 = 0 for p.\nAnswer: -23, 1, 25452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 374*m**3 + 19*m**2 + 136*m + 5 wrt m.\nAnswer: 2244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - n**2 + 4)*(-3*n + 6*n + 0*n) + (1 - 1 + 2*n**2)*(0*n + 2*n - 4*n) - 6*n**3 - n**3 + 2*n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628346113?\nAnswer: 73, 8607481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) -2 (c) 2 (d) -5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - q + (3 + 0 - 1)*(0 + 0 + 2*q) + 2*q - q + 2*q + (-6 + 0 - 7)*(-3*q + 0*q + q) + q - 2*q + 2*q + (0 + 4 - 2)*(-2*q + 5*q - 4*q).\nAnswer: 31*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 3*y**2 - 11)*(-y + y - 2*y)*(3 + y - 3).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(35\/4)*(-35)\/(-15)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 + -146. Suppose p*w - 2760 - 2118 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -200, -81, 234, 841, 1836, 3315, 5374?\n\"Answer: 16*b**3 + 2*b**2 + b - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 620 + -4332\/7. Let p be 2\/(-16) - (1209\/72)\/31. Which is the third biggest value? (a) p (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -o - 4*o. Let h(p) = 5*p + 3. Let m(x) = 5*x + 4. Let i(y) = -3*h(y) + 2*m(y). Determine i(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 t when four letters picked without replacement from qatatta.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 815 = 235. Is 12 a factor of b + (-4 - -11 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612451992?\nAnswer: 2, 3, 2083, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -1.5 (c) 9\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5988, -5991, -5996, -6003, -6012, -6023?\n\"Answer: -w**2 - 5987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223 - 210. Solve 8*s + y = -27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27218 - 10675. What are the prime factors of z?\nAnswer: 71, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 8*f = 7*f, 5*f - 46 = 2*r + 10*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (170 - 190 - (-1 + 5)) + -18?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7685 - -0.2315. Which is the nearest to s? (a) 135 (b) 4 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*h + 18, h = 3*t - 2*t + 4. Let n(s) be the third derivative of 3*s**6\/40 + s**5\/30 - s**3\/6 - 2*s**2. Determine n(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:41 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -111102 (base 3) to base 9\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -1\/120*x**6 + 7\/2*x**2 + 0 + 1\/10*x**5 + 2\/3*x**3 + 1\/4*x**4 + 3*x. Let k(f) be the first derivative of r(f). Give k(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -68 - 17) + -19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 + 246. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 + 79*k - 8. Suppose 5*n + 5*z - 140 = -0*n, -n - 2*z + 32 = 0. Does 8 divide j(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 8*x - 16. Suppose -y + 8 = -0. What is the highest common divisor of x and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 4, u: 4}. What is prob of picking 1 u and 1 b?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1699938, -3399849, -5099760, -6799671, -8499582?\n\"Answer: -1699911*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chchhcchmhchcmm. What is prob of sequence mc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -1 + 1 - -20. Suppose k + 56 = 3*y, -4*y + 3*k + 76 = -2. Suppose -l + y*l - 3366 = 0. Calculate the highest common divisor of l and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181568 (base 9) in base 11?\nAnswer: 77775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -288, -284, -278, -270?\n\"Answer: o**2 + o - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/21, 1\/6, 0, -2.\nAnswer: -2, 0, 1\/6, 26\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3416*i + 5980 = -3324*i for i.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*c**2 - 2*c**2 + 93 + 24*c**2 - 13*c**2.\nAnswer: -32*c**2 + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = r + 231, 14*r - 10*r = 5*d - 576. Calculate the remainder when d is divided by 74.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/42957288 and -103\/35664.\nAnswer: 85914576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 106? (a) 137 (b) 0.4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -28*g. Let p(b) = 101729*b**2. Calculate p(a(n)).\nAnswer: 79755536*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrirkrkrkkrrri. Give prob of sequence rikk.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -w - 6, -4*x + 3*x - 6 = -4*w. Suppose -2*p - 6 = 2*c, -3*c = -0*c - 2*p - 11. Suppose 0 = w*n + c - 25. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*j + 3, 0*j + 4*j = 4*p. Let c be (p\/2)\/((-9)\/(-24)). What are the prime factors of (-3 + c)*2*8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 3*j - 3. Suppose 6 = -7*x + 5*x. Is 20 a factor of m(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 15*x + 14. Let g be c(11). Let y = g + 34. Suppose -2*i + y = 87. Which is greater: 21 or i?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 6332820?\nAnswer: 6332821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 450 divide 294703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*p - 4, -2*b - 2 = 5*p - 3*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/21378 and -71\/72.\nAnswer: 256536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69\/10 in 4, -1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41869 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**2 + 3553564*o - 124379640 = 0?\nAnswer: -888426, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1148 - 36447?\nAnswer: -35299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 253 - 280 - 2*g + 25.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 88190 and -526?\nAnswer: -46387940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, w: 2, v: 1, u: 2, p: 2, k: 1}. What is prob of picking 2 p, 1 k, and 1 r?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 + 4*n**3 - 2*n**5 + (n**4 + 2*n - 2*n)*(0*n + n + 0*n) + (23*n**2 + 37*n**2 - 15*n**2)*(-6*n**3 + 4*n**3 + 5*n**3).\nAnswer: 134*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -17 + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2426619759 to the nearest integer?\nAnswer: 49261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*c + 86*c + 164*c**2 in the form q*c + k + t*c**2 and give t.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -14 + 3*d + 12 - d + 0*d. Let s(q) = -3*q + 2. Give 5*c(k) + 4*s(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32692509 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*z - 929 + 401 = -4903 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x*(x**(-1)*x*x)\/x))**0\/(x\/x**2)**(-28) assuming x is positive.\nAnswer: x**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1131.108 + 0.037349.\nAnswer: 1131.145349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -32. Let f = 11 - v. Let q = -1 + 1. Which is the third biggest value? (a) f (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23475 and 1575.\nAnswer: 492975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/15 - 12920\/(-228). Solve l*d = -46 - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89142?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-3))\/((a**(-2\/9)\/a)\/a)*a**(-1)\/a**0*(a**(-1\/4))**(-5\/8)\/(a\/(a**(-1)*a))**(-5) assuming a is positive.\nAnswer: a**(2989\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 11, -723\/5, 0.3, -96?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*q - 10 - 2, -5*q = 4*s + 25. Let d be 8\/(2\/(q\/(-1))). Solve b = -3*b - d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 84\/(-16)*4\/24 + 4\/16. Put 1, 2, -5, d in ascending order.\nAnswer: -5, d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*l = -27, -5*f + 0*f - 56 = -4*l. Which is the smallest value? (a) 3\/4 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.963484 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1571364011 to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 444 - -1432?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-2*s + 3*s + s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9184920 is divided by 1601?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -235250573*p**3 + 20639077*p**2?\nAnswer: -1411503438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/21, -3\/5, -25, -0.03, -1\/6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**4\/12 - 7*p**3\/6 - 8*p**2. Determine g(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 7. What is the third smallest value in j, 4, -3\/2, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/10)\/((-1)\/(-5)). Suppose g = b*c + 104, -5*g = 3*c - 5*c - 560. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -4 - 30. Factor -2*s**c + 1 + s**4 + 592*s - 592*s.\nAnswer: (s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p + 8. Let d(i) = 2*i - 9. Let a = 22516 + -22511. Give a*g(f) + 4*d(f).\nAnswer: -7*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 24719309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25877 - 1138663\/44. Let k be ((-84)\/2 + -3)*5. Find the common denominator of k\/12 - (-1 + -2) and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 366 - 365.8579. Let l = 35.6179 + m. Let r = 40.9 - l. What is r rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1280)\/24)\/((-5)\/15). Let w(p) = -2*p**3 - 5*p**2 + 12. Let v be w(-4). Calculate the highest common divisor of g and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, m: 2, t: 5}. Give prob of picking 2 t and 2 p.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 474 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 2, n: 1, c: 1}. Give prob of sequence nk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23165 and 205?\nAnswer: 23165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-4)*(90\/10 - 575)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -631 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + -3 - 103*-22*(-10)\/220\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - y + 2*y**2 + 2*y**2 + 0*y**2 to t + i*y + s*y**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 f when three letters picked without replacement from qvvjvvqvvfjvfqqxuvqq?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*g - 83*g + 155385 = -28*g. Calculate the remainder when g is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 2410*x**2 - 176400*x.\nAnswer: -5*x*(x + 90)*(x + 392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 191442338287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001104318445 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -4*b**7\/35 - b**5\/20 - 31*b**3\/3 + 2*b**2 + 13. Find the first derivative of m(u) wrt u.\nAnswer: -96*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b5 (base 13) to base 12.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3039 + 3039.5093. Let o = b - 0.0093. What is the closest to -0.08 in 3, 2, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*g = 320 + 56, 374 = y - 5*g. What are the prime factors of y?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 7:33 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000025901 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4339476 millennia to years.\nAnswer: 433.9476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = -3*p + 3, 2*p - 6 = 0. Suppose -c = -x - 5. Find the second derivative of -6*f + 5*f - c*f**3 - f**3 wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 206*k**2 + 227*k + 3910. What is s(-207)?\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/54 and 89\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0125 + -0.0875. Let v = -3.1 - -3. Which is the nearest to u? (a) v (b) -0.4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 1}. Give prob of picking 1 v and 1 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 187*w**2 - 19*w - 1. What is the units digit of b(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -2, -3, -10.\nAnswer: -10, -3, -2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 6*s**2 - 2*s + 10. Give x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u. Let m(h) be the first derivative of h**3 - 82. Give c(m(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(224\/(-175))*11\/((-154)\/56)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.88 + 24.7. Let a = -12 - l. Let h = -0.08 + a. What is the nearest to h in -0.1, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -305816 >= -304686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*2*-5 - sqrt(120)\/(sqrt(30)\/sqrt(5)))\/((sqrt(48) - -4*sqrt(96)\/sqrt(2))\/sqrt(12)).\nAnswer: -11*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 87*x**2 - 655*x - 270. Give c(94).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2, -r - 597 = -2*r - 4*f. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1876, -3750, -5624?\nAnswer: -7498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*m - 25 + 25)*(4*m - 7*m - 11*m**4 - m).\nAnswer: 275*m**5 + 100*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 28560 - (-108)\/9?\nAnswer: 28571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -469612, -939215, -1408818, -1878421, -2348024?\nAnswer: -2817627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-756)\/(-49) - 5)\/(5\/35).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 1. Let x = 7 - h. Find the third derivative of -3*r**2 + r**3 - r**5 + 4*r**2 - r**x wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 25. Let o(m) = 2*m**2 - 6*m - 4. Let n be o(t). Suppose -96 = -q - 2*q. Calculate the greatest common divisor of n and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/60 + l**4\/8 + l**3 - 5*l**2. Let z be j(-4). Find the third derivative of -4*g**6 + 6*g**2 + g**6 - z*g**2 wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300, -576, -806, -984, -1104, -1160, -1146, -1056?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 5*w**2 + 4*w - 11. Calculate the smallest common multiple of v(5) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 = 2*j. Let x = j + 6. What is the nearest to x in -0.5, 3\/4, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5155591398.\nAnswer: 2, 3, 47, 137, 133447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 11*o + 2*x + 2*x, 0 = -o - 155*x + 161*x - 82 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*h**2 + 82*h**3 + 13*h**2 + 10*h**2 + 11*h**2 + 13*h**2.\nAnswer: 82*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7 = 4*i, -3*i + 10*s - 5*s = -49. Solve 4*b + i + 2 = -2*t, 5*t - b + 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.57 (b) 28 (c) 1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221010 + -132022?\nAnswer: -2013032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -9*g**4\/2 - g + 9. Differentiate c(a) with respect to a.\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 26 - 196*h**3 - 201*h**3 + 586*h**3 + 15 - 195*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 16*j**3 + 2*j**2 + 4*j + 25. Does 49 divide h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3643138.559 rounded to the nearest 10000?\nAnswer: -3640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one fifths of a century?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 9*g - 6. Let b be c(9). Let u = -4 - b. Find the second derivative of v - v**u - 2*v + 0*v wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2567\/36 + -271\/18. Let a = 56 - s. Sort a, 0.5, 0.1 in decreasing order.\nAnswer: 0.5, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*i - 12 = 0. Let y = i - -7\/2. What is the nearest to y in -0.4, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-78)\/(-15) - 1\/5. Put 7, r, 4 in descending order.\nAnswer: 7, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -5. Let a be (q\/3 + -2)*0. Let s be (-3)\/(-2)*(3 - 4 - -3). Solve -s*p + 15 = -a*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*2*-6)**2 - ((6*2*sqrt(19) - sqrt(19)) + -4)**2.\nAnswer: 88*sqrt(19) + 131749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15380 is divided by 571?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**4 - o**4 + 3*o**4 + 4*o**2 - 5*o**2 - 2*o + 1100 - 1102 in the form x + s*o**4 + z*o + j*o**3 + v*o**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 b when four letters picked without replacement from {r: 2, m: 9, b: 5}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3548549360, -3548549361, -3548549362?\n\"Answer: -w - 3548549359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1540 = 627*i - 631*i. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 17020.\nAnswer: -1\/17020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.9, 29, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**3 - 599 + 1172 - 573.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33387, -65379, -95995, -125229, -153075, -179527?\n\"Answer: n**3 + 682*n**2 - 34045*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**3 - v - 3*v**3 - 3*v**3 - 2 + 4*v**2. Calculate the smallest common multiple of i(3) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -40\/249?\nAnswer: -40\/249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + -4 - 1\/(-1). Suppose 3*c + i*x + 8 = 27, -3*c = -x - 29. Is (c\/(-6))\/(30\/(-99340)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z - 2. Let s be n(2). Let a(y) = -3*y**3 + 15*y**2 - 10*y - 1. Let t be a(4). Let b be (-4)\/s + (-86)\/t. Which is smaller: b or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 87, 162, 215, 246, 255?\n\"Answer: -11*f**2 + 108*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*b = 121, 3*b = 376*d - 378*d - 65. What is the second biggest value in d, -2, -4\/7, -0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 38 + 122. Suppose -40*i + a*i + 71512 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 637362?\nAnswer: -637362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32417117 is divided by 2947008.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 258 and 90?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 635?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l - 60*l = -36 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 5:03 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.81828 weeks to nanoseconds.\nAnswer: 2914095744000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*o + 541*o - 274*o + 1170*o to the form i*o + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -12 + -7 - -28\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10130202110 - -3222?\nAnswer: -10130132222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4985\/28 + 178. Let y = w - 47\/252. Which is the closest to 1? (a) -4 (b) -1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2407 - -4430. Suppose 0 = 7*i - j - 2415. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avaavaavav. Give prob of sequence va.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6*3\/(-6)*1\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96447 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11287, 11232, 11189, 11164, 11163, 11192, 11257?\n\"Answer: w**3 - 62*w + 11348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 43*n**3 - 3*n**2 - 3*n - 44. Let y(d) = 87*d**3 - 5*d**2 - 5*d - 87. Let r(u) = 5*o(u) - 3*y(u). What is the derivative of r(g) wrt g?\nAnswer: -138*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1134, -2732, -5396, -9126, -13922?\n\"Answer: -533*u**2 + u - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p = -20. Calculate the remainder when 9 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7645336 is divided by 248.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1318340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(0 + 2 + 1)*(q + 0*q - 2*q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 - ((-2)\/13 - 3492\/(-728)) and 19\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177827 (base 9) in base 6?\nAnswer: 2212424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 2:03 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 2*c**3 + 0*c + (0*c + 0*c + c)*(c - c + 2*c**2) + 5*c**3 - 2*c**3 - c**3 + 191*c**3 + 26*c**3 + 229*c**3 - c**2.\nAnswer: 452*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76254 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {n: 3, i: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2350.4748 to the nearest integer.\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*i**3 - 1 + (-i**3 - 3*i**3 - i**3)*(0 + 3 + 0) to p*i**3 + x + o*i + n*i**2 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + 2\/2*-4. Which is the closest to -1? (a) u (b) 2\/15 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -179222 - -4297595\/24. Let u = -1051\/8 - q. Find the common denominator of (885\/6)\/5 - 2 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -41, -63?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0 = -5. What are the prime factors of 7\/i - 0\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1268*o - 13200 = 52*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407269992.\nAnswer: 2, 3, 587, 28909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -6*m + 45. Let k be ((-14)\/(-35))\/((-3)\/m). Find the second derivative of -2*d - 5*d + d + 6*d**5 - k*d**5 wrt d.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 470 and 13066?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.33 + -0.93. Let l = n - -0.4. Sort -3\/2, 1, 0.5, l in ascending order.\nAnswer: -3\/2, l, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12808*k**2*s**3 + 882*k*s**3 - 4*s**3 - 2*s wrt k.\nAnswer: -25616*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 8:53 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438, -440, -442, -444, -446, -448?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**3 + 2*a**3 + a**3)*(5577287 - 5577287 - 1687*a**2).\nAnswer: 5061*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 413227424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + ((3 + sqrt(252))**2 - sqrt(252)) + sqrt(70)\/(sqrt(1000) - (sqrt(1000) + -4*sqrt(1000))).\nAnswer: 1281*sqrt(7)\/40 + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 46, 97, 168, 259?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/9 + 67249*t**2\/9 - 1129698592*t\/9 - 3394545132 = 0.\nAnswer: -27, 33638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m + 1. Let o be (-13)\/(-11) - (-4)\/(-22). Let n = o + 49. What is the remainder when n is divided by t(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.543314 - 225313?\nAnswer: -225313.543314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2032 + -20100130321?\nAnswer: -20100122223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 4*f + 58. Is p(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 45625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1014, 2103, 3190, 4275, 5358, 6439?\n\"Answer: -g**2 + 1092*g - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44618*v + 2251*v - 42791*v + 17568*v.\nAnswer: -67590*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and -0.062879503374.\nAnswer: -0.082879503374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 15*a**2 - 19*a - 33. Let p be w(-16). Suppose 17*m + 8 = p*m. Put m, 5, -3 in ascending order.\nAnswer: m, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 7 = h, 0 = -4*h + h - u - 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**4\/2 + 18*h**3 - 81*h**2\/2 + 21*h = 0.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 + 2 = 0. Is (798\/(-9))\/(n\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 5:39 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 154812598561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -89?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1859999*j + 1. Let t(f) = f + 13. Let a be t(-11). Suppose 3*k + 3 - 8 = a*m, -4*m - 3 = k. Let o be c(k). Round o to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**2 - g**2 - g**2)*(-3 + 4 - 2) + (29*g - 20*g - 22*g)*(-2*g + 3*g + 0*g) to f + c*g + q*g**2 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) -1 (c) -2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = l + 6, 949*l - 475*l + 11*x = 475*l - 42 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387188?\nAnswer: 2, 96797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-21 - (12 - (-1 + -4))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 239. Let z(u) = 4*u + 1436. Let b(q) = -6*m(q) - z(q). Let v = 3 - 3. What is b(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -162325?\nAnswer: -162325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = z + 2*z - 4*s, z = -2*s - 11. Let b be (427\/21 + z)\/(19\/(-75)). Let u = b + 25319\/342. Calculate the common denominator of 61\/3 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10330381679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 632*s**4 - 1289?\nAnswer: 2528*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1847692 is divided by 62?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x + 29. Let d = 2314 - 2323. Let j(w) = -w + 7. Determine d*j(p) + 2*a(p).\nAnswer: 3*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e0 + -2?\nAnswer: -8e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19334*o**5*s - 142*o**3*s**3 + 5781*o - 7*s**3 - 52*s**2 wrt o.\nAnswer: 386680*o**3*s - 852*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*h**2*j*o*q**2 - h**2*j*o*q - 2247*h**2*o*q**2 - 526*h**2*o - 28*h*j*q - 4*h*q - 2*j*o - 4*o wrt q?\nAnswer: -16*h**2*j*o - 4494*h**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let g(f) be the first derivative of -f**3\/3 - 2*f**2 - 7*f + 78. Let h be g(-2). Which is the closest to -0.1? (a) h (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5))**(-14)*(n*n\/n**8)\/n**(-4) assuming n is positive.\nAnswer: n**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i**2 + 728*i + 4117. Give y(-6).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 3, s: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let h be f(2). What is the biggest value in h, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 28. Suppose l*p - 54 - 2 = 0. Suppose t + 3*c = -3 - p, 6 = -3*c. Sort t, 2, -6 in descending order.\nAnswer: 2, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4915300 and 3900.\nAnswer: 14745900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((-14)\/21 - 3\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(134*s - 14*s + 18*s) - 3*s + 5*s - 3*s + 0 + 2*s + 0 to d*s + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 3*f**2 - 10*f + 8. Let g = -121 - -116. Give b(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 - -422. Let v = w + -271. Is v > 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 14*n + 24. Determine y(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -96, -95, -92, -87?\n\"Answer: d**2 - 2*d - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 16 + 2 = 4*i, r = -4*i + 14. Suppose -4*w = -2*p + 5*p - 17, -2*w = -i*p + 5. Solve -3*q - 1 = 4*m - 4, w*m - 1 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v - 5. Calculate c(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from xxsxxxxsxsssxx.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4\/d**(-8)*((d*d\/d**2)\/d)**46 assuming d is positive.\nAnswer: d**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z)\/z**0 assuming z is positive.\nAnswer: z**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 30 = 0, -3*k = -4*n - 0*n - 37. Let j(t) = -11*t**2 + 8*t - 13. Let z(x) = 5*x**2 - 4*x + 6. What is n*z(w) - 6*j(w)?\nAnswer: w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + 3999\/155)\/((-30)\/50)?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 61341?\nAnswer: 245364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1285 + 1277.65. What is k rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 918392796 and 4644.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(319\/(-44))\/(-29).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v = 3*h - 6588, 5*h - 6584 = -2*v. Does 11 divide (2\/(-6))\/((28\/v)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 u when three letters picked without replacement from nnuuuunnun?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 7:05 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 23 = -88. Let g = f + 29. Let n = g - 16. Solve i - 2 = -n*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382*u + 373*u + 45 = 0. Let w be (-137)\/(-3) - (-2)\/6. Suppose -u*k = -2*x + w, -2*x - 3*k = -x - 1. Solve 3*d + x = 5*m, 5*d = -5*m - 0*m + 45 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10965, 11094, 11223?\n\"Answer: 129*n + 10836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + -4.99. Let x = 1009223038.99999947 + -1009223034. Let h = d + x. Round h to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -16. Let i be (9\/2)\/(c\/(-842446)). Let l = i + 614637. What is l rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126*h - 254*h + 1036 + 126*h - 73*h**2 - 392 wrt h.\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 15 = 4*d. Suppose -d*c - 5 = -14. What is the third derivative of x**4 + x**2 - c*x**4 + 0*x**2 wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 14*m - 12. Which is the nearest to m? (a) -3 (b) -5\/6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqkq when four letters picked without replacement from qqkqqjqjqjjjjjkjkq.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/95 or 0?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 4*o + o)*(2 - 3 - 1) + 0*o - 4*o + 3*o - 2*o + 4*o - 3*o + (-1 + 0 - 1)*(4*o + 0*o - 5*o) + 2 - 6*o - 2 as v + d*o and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 91.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 992633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 5:28 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351003061.\nAnswer: 351003061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*-2*3 + sqrt(684) + sqrt(684) + (-2*(sqrt(684) + 1) - sqrt(684)))**2.\nAnswer: 168*sqrt(19) + 33520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87 - -90)\/(1\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7ef3f (base 16) to base 12\nAnswer: 210b13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2909812?\nAnswer: 2, 19, 38287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*j**2 - 8*j**2 + 106*j**2 + 72 - 12 + 39*j**2 to the form r*j + a + i*j**2 and give i.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4360 - 475 = 132*a + 6627 + 16134 for a.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 19*u**4\/24 + 11*u**3\/6 + 4*u**2. Let s be f(11). What is s rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - (-4 - (4 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -33370.6267\nAnswer: -66741.2534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28650212?\nAnswer: 2, 43, 166571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) 0.04 (c) 2\/9 (d) -88 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 2 + 2\/(-2). Suppose -4*a = 3*t - 2078, -k*a + 0*t = -3*t - 1569. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7339838 and 310134?\nAnswer: 22019514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 10*w + 11. Let d be u(11). Let f = d + 2. Let o(l) = -4*l - 5. Let r be o(-2). Solve 0 = -r*s - 5*z + 2, f*s - 3*z + 6 = z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78890, -78869, -78848, -78827, -78806, -78785?\nAnswer: -78764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6910*s - 1928*s - 2231*s)*(-s**2 + s**2 + 2*s**2).\nAnswer: 5502*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**9\/60480 + j**8\/4032 + j**6\/720 - j**5\/60 - 2*j**2. Let g(b) be the third derivative of n(b). Determine g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 4 - 4)*(0*v + 0*v - 2*v)*(-2 - 1 + 5).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18395 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28157868?\nAnswer: 2, 3, 59, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 95874.5861 rounded to the nearest one hundred?\nAnswer: 95900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223 - 4333?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k**3 - 123*k**2 - 7*k + 190. Let h(y) = -11*y**3 - 262*y**2 - 14*y + 380. Let p(w) = -6*h(w) + 13*o(w). Calculate p(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 21, 65, 147, 279, 473, 741, 1095?\nAnswer: 1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + 104. Calculate the smallest common multiple of 6 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 5) + 3 + -1 + (-77 - -32).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 6 - 58*v**2 - 3 + 5*v**3 + 58*v**2 to i*v + m + h*v**3 + f*v**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -20. Suppose 5*g - 40 = -5*c, 0*g - t*c = -3*g + 3. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/5 in 3\/5, 1\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-8) - 14\/(1456\/65). What is the fourth smallest value in -18, -9, 2\/21, l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 42 + 395 - 51 - 144.\nAnswer: -2*r + 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4. Let l(b) = -6494*b + 12988. Calculate 3247*f(v) + l(v).\nAnswer: -6494*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -513, -762, -1045, -1374, -1761, -2218, -2757?\nAnswer: -3390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2682 and (1 + -19)\/(-28 - -42 - 17)?\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from mmammmaajqjmyq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(476\/105))\/(12 + (-4407)\/364).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -6.\nAnswer: -6, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 10*l + 14. Suppose 2*y - 4*c + 2 + 2 = 0, 0 = y - 4*c - 6. What is the smallest common multiple of b(y) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from xxxb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1111 and 12070718.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115732432 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40064?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477353047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3283.\nAnswer: -5, -1, 3283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1842, 1.3, 4, -0.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1218146 and 15835879\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 8*g - 1920 = 0. Is (1\/2)\/(-4*(-1)\/g) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653 is divided by 160?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15124.\nAnswer: 2, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*k - 3*k = -25, 5*b = 2*k - 35. Let w = -40 - b. Let d = 35 + w. Sort -3, -1, -4, d in increasing order.\nAnswer: -4, -3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*g - 84 = -28*g - 350. Let y(c) be the first derivative of 23\/3*c**3 + 31\/2*c**g + 0*c - 33. Find the second derivative of y(f) wrt f.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*o**5 - 3*o**3 - 253*o wrt o.\nAnswer: -100*o**3 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/9 + 52*i**3\/3 + 154*i**2\/9.\nAnswer: 2*i**2*(i + 1)*(i + 77)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -367\/3 + 121. Sort 15, o, 5 in decreasing order.\nAnswer: 15, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - -1) - (-16 + 18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002750408 rounded to six decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjnn. Give prob of sequence jnj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -38.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*t + 11*t - 10*t - 2*r - 107, r = 3*t - 31 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -5*j**3\/3 - 7. Let f(n) = -2*n. Calculate m(f(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Suppose -3*i + 3 = -s, i = -2*r + 16. Let f = -1 + r. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -71*t**3 + 7*t**2 - 7. Let k(h) = 24*h**3 - 2*h**2 + 2. Suppose 130*b + 171 + 89 = 0. Calculate b*r(f) - 7*k(f).\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175046160 divided by 8752308.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 21. Let s(b) = -2*b - 20. Let t(a) = 3*o(a) + 2*s(a). What is the remainder when 43 is divided by t(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 473171.3mg?\nAnswer: 473.1713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1, 10, 0, -4, -12.\nAnswer: -24, -12, -4, -1, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*d = 12, -2*h + d + 6 = -9. Suppose -3*b + 40 = -b. Suppose -2*v + b = h. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 204.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(19) + (-5 + (sqrt(95)\/sqrt(5))**2 - sqrt(19)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -143, -245, -359, -491, -647, -833?\n\"Answer: -z**3 - 95*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0284 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3618.011211 rounded to the nearest 10?\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 17. Let n(l) = l + 0*l - 4*l + 1 + t. Calculate n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -218292, -218228, -218120, -217968, -217772?\n\"Answer: 22*f**2 - 2*f - 218312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/825 and 167\/150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/3)*u*u**0*u)**13 assuming u is positive.\nAnswer: u**(130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, q: 7}. Give prob of picking 2 q.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 7*a - 1. Calculate d(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 762.0976 millilitres in litres?\nAnswer: 0.7620976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 872209 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q + 11. Let s be k(9). Let b(r) = -r**2 - 9*r - 6. Let g be b(-7). What is the greatest common divisor of g and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 - -1) - 3 - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.218817682 rounded to 3 dps?\nAnswer: 1.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 4276*q\/9 - 1426\/3.\nAnswer: 2*(q - 1)*(q + 2139)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.508732 and -9.6.\nAnswer: -11.108732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/28 and 25\/19427096.\nAnswer: 135989672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6045?\nAnswer: 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x - 53 + 44 + x**2 + 7 + 4*x + 39. What are the prime factors of i(-7)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*n - x, -5*x - 22 = -4*n + 9. Suppose -84*y = -73*y - 77. What is the third derivative of 3*k**2 + 0*k + y*k**n + 0*k - 2*k**2 wrt k?\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15\/3916, -4\/7, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**2 - 4*y**2 + 2*y**3 + (-2*y + 2*y - 3*y**3)*(-3 - 8 + 10) + 2*y**3 - 2*y**3 + 2*y**3 to u + q*y + z*y**3 + s*y**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 580 and (40\/14)\/(9\/518 - (-16)\/296).\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by 3092.\nAnswer: -37\/3092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 173660, -3, 4 in increasing order.\nAnswer: -3, 4, 173660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + sqrt(5))*-6 + -4.\nAnswer: 24*sqrt(5) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -419.\nAnswer: -1257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.7 - -0.7. Let q = -7.9 - l. Let m = 2518\/35 + -498\/7. What is the closest to 1\/3 in -4, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 29*k**2 + 0*k + 37*k**2 + 0*k - 62*k**2.\nAnswer: 4*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2872 divided by 4\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18407777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 15) in base 2?\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.62 to the nearest integer.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33048 = 138*t + 271*t + 77*t for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 1:29 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 16 = -5*p - 5*v, 2*p = -v + 4. Let l(j) = -j + 15. Let u be l(p). Is (-3)\/u + 186\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5218 - 2895. Does 55 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkdtjjf. Give prob of sequence dwt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 8, -29 = -3*y - k + 30. Suppose b + r - 7 = 2*r, -y = -b + 4*r. Solve 2*j = -b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (53 - (5 - 3)) + -4 - (101 - 100)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -680*r. Let g(m) = 18604*m. What is g(v(d))?\nAnswer: -12650720*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(475) - sqrt(475)) + 1 + -1)*6.\nAnswer: -120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*j**3*w - j**3 + 5*j**2*w - j**2 + 12*j*w + 2*j - 5*w + 3 wrt j.\nAnswer: 54*j*w - 6*j + 10*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4 - 140556*z**3 + 1545938*z**2 - 4497144*z + 3934952 = 0?\nAnswer: 2, 7, 70267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1209.43 and 0.2?\nAnswer: 1209.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.38262 - -0.364. Round m to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-152))\/((-3)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 0*r**5 + 4*r**2 + 0 + 0*r + 0*r**4 + 1\/50*r**7 + 1\/112*r**8 + 1\/100*r**6 + 0*r**3. Factor f(h).\nAnswer: 3*h**3*(h + 1)*(5*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 2. Suppose 5*i - 30 = 5*d, 4*i - 2*d - 13 = 5. What is the units digit of g(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (-8)\/10 + 220\/25. Suppose 3*t - 69 = -l + 135, -l + z*t = -169. Calculate the greatest common divisor of 27 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(7)*2 + -1)**2.\nAnswer: -24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16*2\/(-3)*-3. Suppose u + 9 = j. Let g(b) = 2*b**3 - 35*b**2 - 15*b - 50. Let m be g(18). Solve -s - 5*f = 11, 6*s - m*s - 5*f - u = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.1 - 54788454.06?\nAnswer: -54788171.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3951\/8 - -493. Find the common denominator of -10\/13 and y.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10454433.8593 + -10451315. Let s = -3119 + b. Round s to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21234 * -20.99\nAnswer: 445701.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 63. Let l be (-2)\/(-20) - 4\/(-10). Is l >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**4\/6 + 5*b. Let s(d) = -d + 1. Let t(f) = 22*f - 18. Let q(r) = -36*s(r) - 2*t(r). Calculate q(a(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 28*p**5\/5 - 1504*p**4\/5 + 1052*p**3\/5 + 424*p**2\/5 = 0.\nAnswer: -2\/7, 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229430?\nAnswer: 2, 5, 22943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*f = 2*s - 130, -s = 2*f - 106. Let n be s*1\/(-4)*-2. Suppose n = 2*l + 19. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**3 + 3 + a**2 - 3 - 8*a**2 wrt a.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) - -6*(sqrt(833) + (sqrt(833)*-1 - sqrt(833)))**2)*6 - (sqrt(833) + 0 + 1 + -4)) + -3)*-2.\nAnswer: -59976 - 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/1)\/1*1. Suppose t*k = 2*k + 8. Put 3, 0, k in ascending order.\nAnswer: k, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**2\/2 - 2. Let f(x) = 20*x**2 - 6*x + 6*x - 18*x**2. Calculate v(f(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, and 1 g when three letters picked without replacement from gbnpggm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 44 + -21 - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 plus -0.46604786?\nAnswer: -0.49004786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -423745 and 5.\nAnswer: -2118725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/7860 and -31\/238420.\nAnswer: 715260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**5*j + 227862*h**3*j**3 - 2486591*h**2*j**3 wrt h?\nAnswer: 60*h**2*j + 1367172*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12375436 and 1952.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.3363.\nAnswer: 1.0089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 164, 2, -3.\nAnswer: -3, 2, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = 125*i. Solve 2*n + 14*g - 18*g + 20 = i, 14 = n + 4*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*s + 21*s - 5*s + (3*s + 3*s - 4*s)*(-2 + 1 - 1) + 3*s - 2*s - 4*s - 1 + 2*s + 1 + (3 + 0 - 4)*(-4*s - s + 4*s) - 7*s + 9*s + 31*s.\nAnswer: 55*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**30\/(w**(-1)*w))**(-2\/131) assuming w is positive.\nAnswer: w**(-60\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/3 - (-3)\/9. Let t = -4 + k. Let p = 11 + -6. Solve -4*a + p*y - 15 = a, -y = -t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1565796256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -824 = -4*f + 276. Let h = -194 + f. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 4:22 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 6:05 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (243\/324)\/(9*(-3)\/(-360)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9208440 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/11 (b) -38 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91434.06 litres in millilitres?\nAnswer: 91434060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 10*w + 21 = -11*w, 2*h + 4*w - 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 + -2 + 10) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 70. Suppose 29*i + 2639 = q*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 7. Let f(a) = -2*a**2 - 8*a - 30. Determine -f(m) - 3*u(m).\nAnswer: 2*m**2 + 2*m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6487 or 6488?\nAnswer: 6488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -7.6. Which is the second smallest value? (a) -1\/3 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -975447 divided by 16533.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 179 - 184 - (1 - 11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 2. Let h(k) = 614*k - 50349. Let f be h(82). Sort -15, -3, f, z in increasing order.\nAnswer: -15, -3, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236473007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 266960\/(-23856) - (-55)\/10*(1 - -1).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, 6, 26, 64, 126, 218, 346?\n\"Answer: p**3 + p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 7:56 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -14 - (1 - (-3 - -10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 9:50 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - 1) + (-1645020)\/(-46398)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - b = -1 - 2, 4*y - b = -2. Let l(h) = -4*h**3. Let p be l(y). Solve -p*x + 0*j + 2*j = -26, -5*x = 4*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, n: 3, r: 3, h: 1, c: 1, m: 7}. Give prob of sequence nnc.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 7*i + 4*i - 13*i - 3*c - 17, 0 = -i + 3*c - 5 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -206.10598 - -206.1. Round h to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -20. Let i(f) = -f**3 + 6*f**2 + 6. Let j be i(s). Let t be ((-4)\/j)\/(1\/(-3)). Is 0 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 56b?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = -6. Calculate the smallest common multiple of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*j - 4*w = 875*j, -5*j + 2*w = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + w - 2 = 0, 0 = -3*w + 2 + 4. Suppose r + 3*d + d - 221 = 0, j = -5*d + 15. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7357213 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**4 + p**3 + p. Let h(v) = 3*v**4 + 2*v**3 - 15*v**2 - 8*v. Let y(b) = h(b) - 2*x(b). Factor y(t).\nAnswer: 5*t*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144299241 to the power of 1\/3, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228781 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 0.3. Let g = 3.37 - 1.17. Let d = x - g. What is the nearest to -1\/3 in 0.4, d, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2639 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -22*x**2 - 41*x + 2. Calculate n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892 + 85 = -51*g - 42 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 891.\nAnswer: 1\/891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136 - -137. Sort -3, 5, 14, l in ascending order.\nAnswer: -3, l, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -441*c - 8828. Determine q(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*y**2 + 9439*y - 58 - 9438*y + 56 - 7*y**3 to the form g*y + s + o*y**3 + i*y**2 and give i.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 7*v**2\/2 - v + 1. Let x(r) = -r + 5. Let s be x(4). What is the units digit of j(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 at least as big as 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/2, -1\/2, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 24. Suppose -3*s = s - j. Suppose i - 2 = s. Solve i*p = p - 2*n, -4*n = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*u + 42325, w - 3*u - 6167 - 7943 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 719 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 51*d**3 - 7*d**2 + 55. Let g(v) = -34*v**3 + 5*v**2 - 37. Let t(j) = -7*g(j) - 5*n(j). What is the first derivative of t(m) wrt m?\nAnswer: -51*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3166 - (6\/2 + (-25)\/(-5) + -15) is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2015*c**3 - 28*c + 2408. Let l(s) = -1007*s**3 - 16*s + 1203. Let t(m) = 4*i(m) - 7*l(m). Differentiate t(h) with respect to h.\nAnswer: -3033*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.3 - -8. Let i = 2\/53 - 57\/106. What is the nearest to 1 in o, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x - 31. Let q be y(9). Solve -3*a + 13 = o - 0, -3*a - q*o + 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 5 - (0 + 1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16567 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(1215) - sqrt(1215))\/((sqrt(36)\/(sqrt(12)*-1) - sqrt(3)) + -2*(sqrt(3) + sqrt(15)\/sqrt(5))).\nAnswer: 21*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1562 - -1561. What is the fourth smallest value in b, 2, -0.5, 3\/4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.74 != -979343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -49. Which is greater: j or -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/3)*a*a**2)\/(a**(2\/19)\/((a**5*a)\/a)))**50)**(13\/2) assuming a is positive.\nAnswer: a**(133900\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l - 4*l)*(69*l + 42*l - 33*l)*(2 + 0 - 1).\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22805, -43697, -64589, -85481, -106373?\nAnswer: -127265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(-35 + 33).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004803251 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4941245688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t - 1830 = -37*t - 4*y, -y + 2740 = 3*t. What are the prime factors of t?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10.01 (b) -0.18 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/108575 and 92\/43935?\nAnswer: 9446025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203 - -303002141?\nAnswer: 303001433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/3472?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9640104*b + 9640365*b + 25317 = 0 for b.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 3:17 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3)*-1*-9. Suppose 8 = -o + 5*h - 15, -3*o + 11 = h. Suppose -o*u + 10 = 0, -5*j - 2 = -f*u - 7. Solve -8 = 2*t - 2*r, t + j = 4*r - 2*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.35.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -41*g**2 - 2*g - 90. Let b(p) = 80*p**2 + 4*p + 172. What is 4*b(c) + 7*u(c)?\nAnswer: 33*c**2 + 2*c + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 21244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13824925 is divided by 14583?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 949905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.26449821 rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -5\/11 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*d - 13. Let n be 6\/(-8)*48\/(-18). Suppose n*y - 7*y = -10. Solve y*l - d = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 47 = 4*g, -3*g + 7 = 4*p - 10 + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22329.\nAnswer: 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 3. Let x be t(-6). Suppose -3*b = -2*k + 5849994, -7058636 = 3*b - x*k - 1208645. Round b to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*l - 17 - 8, -3*f = -5*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 452*r**3\/3 + 297*r**2 - 17*r - 50\/3 = 0. Calculate r.\nAnswer: -2, -25\/113, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66\/5 + 1924\/145. Which is the nearest to 1\/6? (a) -3\/2 (b) t (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*j**3 + 384*j**3 - 298*j**2 - 290*j**2 + 873*j**2 - 285*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 889086567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -10769018790 to the nearest 1000000.\nAnswer: -10769000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 + (-120)\/(-54). Suppose -j = j - 5*r - 17, 0 = j + r + 2. Solve -g = -i*g + j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 26 + 8 - 32 + 165*v + 49*v + 29. What is the tens digit of d(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 10. Suppose -454 = -h*s + 146. Suppose 52 + s = 4*r. List the prime factors of r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (-16 + (13 - -4) + (-11 - -17))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4404?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 296683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1075 - -1077. Solve 8*y - q = 9*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 10. Let r be (-10)\/25 - 357\/x. Let f = -16 + r. Calculate the highest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45100 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4080 is divided by 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 75*r**3 - r**2 + r - 1. Calculate k(1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-6)\/44))\/((-82115)\/(-582270)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfdh when four letters picked without replacement from {h: 3, d: 5, p: 8, y: 2, f: 1}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -27, -58, -101, -156, -223, -302?\n\"Answer: -6*u**2 - u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 4*c - 32, 0 = -2*d + c - 2*c + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o - 66 + 74. What is the second biggest value in 206, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21692.46 years in months?\nAnswer: 260309.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/18*(56\/(-6))\/(-7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 11*u + 5. List the prime factors of h(-20).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/11)*f*(f\/(f\/f**(-2\/15)))\/f)**(-19) assuming f is positive.\nAnswer: f**(1558\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, -2, -0.04, 2\/7, -4?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3658 divided by 13.\nAnswer: 3658\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -710.739 take away -457.8242?\nAnswer: -252.9148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6907?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2779 - 2779. Solve r = 2*v - 3*u + 13, 20 = -8*u + 12*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-72))\/(5\/(-40))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(10\/(-4) - -1). Let j be 12\/x - (-3 - -12). Put j, -3, 5 in descending order.\nAnswer: 5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7802213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8571 is divided by 946?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 + 3*h + 3. Let a be n(-10). Let g = a + -162. What are the prime factors of g?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13979 + 14039. Which is smaller: s or -1\/30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/d**(-1\/3))))\/d**(2\/27))\/((d\/(d*d\/d**(2\/7)))\/d**6)*(d**(2\/5))**4*(d*d**(-7))\/((d*d*d\/(d*d*d**(2\/13)\/d))\/d) assuming d is positive.\nAnswer: d**(33506\/12285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44b (base 14) to base 15.\nAnswer: 3bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**10\/1680 - f**6\/120 - f**3\/6 + 3*f**2. Let r(d) be the first derivative of w(d). Find the third derivative of r(g) wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2113 - 8922*s**2 - 1013 - 1100.\nAnswer: -8922*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 3*j**2 - 9*j - 10. Let h be y(8). Let q = 361 - 327. Calculate the greatest common divisor of q and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 10.8\nAnswer: -118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 20 = -4*z, -5*z = 3*y + 2118 - 2092 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1902, -1907, -1912, -1917, -1922, -1927?\n\"Answer: -5*h - 1897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a week?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 677*b**3 + 3279918 - 3279918.\nAnswer: 677*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-40)\/(-5))\/4)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 - -39. Let q = 42 + a. Let x = -2.5 + 3. What is the biggest value in q, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 14 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.389 + 1.089. What is the closest to -2\/3 in 0.4, -5, 3\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1900352, -7601426, -17103218, -30405728, -47508956?\n\"Answer: -1900359*s**2 + 3*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 + 2263\/3. Let y(j) = -887*j + 131302. Let p be y(148). What is the greatest common factor of p and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -32*h + 63. What is the remainder when v(-4) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q = 0. Let t(j) = -j**2 + j + 17. List the prime factors of t(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*v = 51*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1257651 divided by 1257651\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/5 + 103*y\/5 - 428\/5.\nAnswer: (y - 4)*(y + 107)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 940*h + 24. What is the tens digit of q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:20 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10011110101110100101 (base 2) to base 10\nAnswer: -650149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-10)*(565 + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2. Let z(i) = -49*i**2 + 24*i - 5. Let v(c) = 40*c**2 - 20*c + 4. Let l(r) = 6*v(r) + 5*z(r). Give l(m(p)).\nAnswer: -20*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - b**2 + 2*b + 2. Calculate l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1377) + -2) + -3*sqrt(1377) + -1)**2.\nAnswer: -162*sqrt(17) + 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10734735 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33003, -65996, -98983, -131958, -164915, -197848?\n\"Answer: r**3 - 3*r**2 - 32991*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**19\/(j\/(j**(-6)*j)))\/(j\/(j\/(j**(2\/11)*j*j)*j))**(-3\/7) assuming j is positive.\nAnswer: j**(1040\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -12*n + 13*n + 2*t, -36 = 9*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19561*r = 18878*r + 82643 for r.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 393140, 786484, 1179826, 1573166, 1966504, 2359840?\nAnswer: 2753174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*f - 70 = 74*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 - 685*i**5 - 5 - 783*i**5 - 864*i**5 + 1640*i wrt i?\nAnswer: -46640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 441\/5 + -88. What is the closest to -2\/3 in w, -4, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12028)\/(-434))\/((-12)\/(-7)) and -7\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y, 4*y = 3*f - f - 28. Suppose 12*g = f*g - 6. What is the second derivative of -g*d + 0*d**2 - 3 + 3 - 4*d**2 wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5037*a**3 + 62 + 3*a**2 - 61 - 5035*a**3 + 84*a to the form v*a**2 + r*a**3 + u*a + y and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 13*u**2 + u - 10. Let v be t(13). Suppose 1014 = 2*o - s, -26 + 14 = -v*s. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212 - 153. Suppose -y + 0*y + 16 = 3*l, 3*y - 2*l = s. Calculate the remainder when 36 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3 + 3)*(-13 - 33*k + 13) + k**2 - 4*k**2 + 2*k**2 + (k - 11*k - 3*k)*(1 - 2*k - 1).\nAnswer: 58*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 - 8*h**2 - h + 12. Let g(x) = -8*x**3 - 25*x**2 - 3*x + 36. Let f(l) = 4*g(l) - 11*k(l). Find m, given that f(m) = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47568\/(-71352))\/((-2)\/204).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 89 = -3*a, -4197*o + 118 = -4195*o - 4*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = 0, -3*z = f - 5*f - 19. Suppose 6*t - j - z = 3*t, -25 = -4*t + 5*j. Suppose t = -5*m + 21 + 9. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/223570 and -19\/1967416.\nAnswer: 9837080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 22 = -3*d, -5*f - 5*d = 15 + 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29.28192 years?\nAnswer: 2.928192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 378.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75725 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t - 31. Let f be i(14). Solve -5*x + 1 = f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -163 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(15\/11)\/(l**2)**12 assuming l is positive.\nAnswer: l**(-234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -2167.\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24639872 to the nearest integer?\nAnswer: 4964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**37\/b*b*b*b**(10\/3))**(2\/15))**(11\/2) assuming b is positive.\nAnswer: b**(1364\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/(-6) + (0 - (-5)\/(-30)). Does 10 divide 65 - q - 3 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 13*g = 5*g - 10, -i + 4*g + 967 - 969 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 10 - 7)*(16 - 16 - 7*z) in the form l + d*z and give d.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 0 in decreasing order.\nAnswer: 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 298802.4925 to the nearest 1000.\nAnswer: 299000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4639.1 times -1.148\nAnswer: 5325.6868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74609391 + -28648391. Round b to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/24)\/(-3 - (-28)\/12)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 bigger than -2087\/191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 11:14 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13.6*-0.12\nAnswer: -1.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 55*c - 656. Does 14 divide x(-51)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 277*d + 44587. Determine j(-161).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**3 + 8*b**2 - 6*b + 8. Let t(p) = 2*p**3 - 3*p**2 + 2*p - 3. Let f = 2 + 6. What is f*t(w) + 3*i(w)?\nAnswer: w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12925339*j**5 - 3059570*j**2?\nAnswer: -775520340*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2789 + 3815 = 4*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 4. Let x(n) = 2*n - 9. Let a(s) = -13*t(s) + 6*x(s). Suppose 12*k - 4*k = -16. Let m(v) = v + 3. What is k*m(p) - 3*a(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11 - -5)\/(475644\/(-67948) + 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -2\/3, 5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/11 + 2922\/(-99). Let i = u + 29. What is the nearest to i in 3, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1259 and 2517\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3\/21 - 50*l\/21 = 0.\nAnswer: -5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 2*x**2 - 4*x + 10. Let n(z) = z**3 + 7*z**2 + 5*z - 16. Calculate the least common multiple of l(4) and n(-4).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 7. Give n(15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. What is the remainder when 47 is divided by (24\/c)\/(2\/10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (12 - -10)) + -2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmymmmmmmmmymmmymmmy?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 107003.6 days?\nAnswer: 9245111040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 10:34 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -757 - 87\nAnswer: -844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (10 - 8 - 3) - -6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose -7*y = -l*y. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 6:09 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.2 (b) 5 (c) 3\/221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 4*s. Suppose 0 = w - 2 + 5. Let f(y) = -3*y + 11. Let p be f(w). Suppose i + i - 4*l + p = 0, -2*l - 2 = 2*i. Determine z(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*y = -235*y + 18720. Calculate the common denominator of ((-120)\/y)\/((-6)\/(-218)) and -101\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2663 - 2656. What is the greatest common factor of 109 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -12*a + 9*a. Let q = a - 94. What is the second derivative of -23*t**2 + 129 + q*t + 11*t - 129 wrt t?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -3*f + 3*f - b, -23*f = -20*f + 5*b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 2. Let y be s(3). Let m(a) = 17 - 5 - 7*a + 5*a. Let n be m(y). Solve x - n = 0, 17 = 4*v - v + x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -1.2. Let b = -1715\/2 + 926. Let n = b - 67. Is f greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13972?\nAnswer: 2, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*d - 43. Suppose 4*w - 91 = -d. Suppose 3*s - 67 = -w. Solve s = 5*u - u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 3*b + 6*b, a = -2*b - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*o = 10*o + 710, 3*j = 2*o - 441. Let z = j - -148. Determine k, given that -18\/5*k + 18\/5*k**z - 8\/5*k**4 + 4\/5*k**2 + 4\/5 = 0.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**2 + 6*m - 11. Let n(a) = -11*a**2 - 12*a + 23. Let y(r) = -4*n(r) - 9*w(r). Determine y(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.431 + 0.039. Round y to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*z - 19, z + 32 = -5*l - 6. Let y = -7 - l. Suppose y = -4*w + 6 + 2. Solve -2*j + 2*i = 4, 0 = 5*j + i - w*i + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50299542?\nAnswer: 2, 3, 34499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4\/5315 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*q = -2907360 - 512640, -5700000 = 5*d - q. Round d to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 68139764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37180 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/11)\/p*p*p**7)**(-38)*p**(5\/2)\/p**(-3)*p**(-2\/11)*p**(2\/5)\/p*p*p assuming p is positive.\nAnswer: p**(-28141\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/3229 - -67787\/35519. Let m(r) = 6*r. Let i be m(-5). What is the common denominator of o and (i\/8)\/((-2)\/12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 2*b. Let y be m(-4). What is the common denominator of 0 + 1 + -1 - (-146)\/y and -1*1 - 165\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/9 + 2*v\/9.\nAnswer: -2*v*(v - 1)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1923.2 and -0.0519.\nAnswer: 99.81408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25493 is divided by 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6 + 3 = 0. What is the units digit of 1 + 2 - (z + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**6\/60 - z**5\/30 + z**4\/6 - 5*z**3\/3 + 3*z**2. Let v = -2200 + 2204. What is the hundreds digit of m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.4 (b) 1.7034 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*h + 18. Suppose -h*y - 1264 = 2*y. Is (-1)\/((-628)\/y - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*x + 6 = 0, -19*d + 6*d - 15*x - 30 = -10*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o + 88. Let p be b(10). Solve -8*q = -6*q - p, x + 3 = q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3760.462km?\nAnswer: 376046200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 4*x**2 + 9. Let s be y(-5). List the prime factors of ((-8)\/s)\/(0 + 2\/488).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (153\/(-204))\/((-1230)\/(-80)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m + 176*m - 166*m.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87618 and 54.\nAnswer: 788562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 17176*q + 51520. Calculate g(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-24)\/(-18))\/(108\/491265).\nAnswer: 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40550 and 167086275?\nAnswer: 334172550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**2 - 5376*z - 37779 = 0?\nAnswer: -7, 1799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-7 - -4) - (-6 + 8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*h + 30*h. Solve h*n = -3*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15 - 0 - (2 + -2). Let l(b) = b**2 - b - 3. Let g be l(3). Suppose -3*w - 6 + 2 = -2*v, s = g*v. Solve -3*t + 0*t - 3 = -3*a, -4*a + w*t + 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -14, 341 in increasing order.\nAnswer: -14, -3, 2, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 4*j - 2. Let u(t) = -t**2 + t - 1. Let h(a) = a + 26. Let d be h(-22). Suppose q - 11 = 5*i, -4*q - i = -6 + d. Calculate q*v(c) - 2*u(c).\nAnswer: c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 461\/5820 - -2\/485. Let o(a) be the second derivative of 0*a**3 + 0 + 0*a**2 - j*a**4 + 4*a. Let l(i) = -6*i. Determine o(l(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 2. Let f be n(6). Suppose -5*g = 16 + f. Let p be (-20)\/g + 5\/(-15). Solve s + p = -2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 2*s**4 + s**2 + (2*s**3 + 49*s**3 + 209*s - 209*s)*(2*s + 20*s - 5*s) to the form g + d*s**4 + y*s**3 + w*s + l*s**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 9:03 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/2 + 3*r**3 - 6*r**2 - 19*r - 21\/2.\nAnswer: (r - 3)*(r + 1)**2*(r + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-952)\/70)\/(-1))\/((-4)\/(-210))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14985022 and 310232.\nAnswer: 4082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125044 - 71813. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t + t**3 + 3*t**2 - t - 5 + 0. What is b(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 5. Calculate o(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1981002 to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 9 - 15) + 2 + (6 - 12 - -95)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*y**3 + 183*y**3 - 22*y + 2*y**2 + 567*y**3 + 392*y**3 - 4*y**2.\nAnswer: 924*y**3 - 2*y**2 - 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -99*i**3 + 297*i**2 - 297*i - 297. Let m(q) = q**2 - q - 1. What is -297*m(f) + s(f)?\nAnswer: -99*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 4*v - 1, 0 = 5*q - 3*v - 18 + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:26 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c = 35*c + 9. What is the units digit of 465*1*(-3)\/(-2 + c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24102*y - 156322*y**2 + 24102*y.\nAnswer: -156322*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139824129.\nAnswer: 3, 181, 257503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -8*x - 15*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i + 5*s + 26 = 10*i, 5*i + s = -19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(9*6\/306). Suppose -b*j - 197 = -843. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/542 - -158\/2439. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 36*m - 1312. Is b(58) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 376?\nAnswer: 5\/376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1108 rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3\/5 + 32*c**2\/5 + 4*c\/5 - 32\/5.\nAnswer: -4*(c - 8)*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 3*n + 3. Let x(z) = 8*z**2 + 25*z - 16. Let h(d) = d**2 + 1. Let o(s) = 5*h(s) - x(s). Let q be o(-9). What is l(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggcc when four letters picked without replacement from {g: 4, c: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101081?\nAnswer: 101081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 640, 1269, 1896, 2521, 3144, 3765?\nAnswer: 4384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 3:22 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 - 2*c**2)*(-11942 + 4*c**2 + 5*c**2 + 12078).\nAnswer: -18*c**4 - 272*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 7. Let c be 8\/(80\/(-90)) + 41 + 0. Solve -c = q*w - 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 65*y. Let a(m) = m**2. Calculate a(o(z)).\nAnswer: 4225*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2498, 2327, 1940, 1253, 182, -1357, -3448?\nAnswer: -6175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26195062 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyl when three letters picked without replacement from {y: 2, b: 3, d: 2, l: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 479449241 to the nearest integer?\nAnswer: 21896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 749535*i**3 + 27*i**2 + 124*i - 6 wrt i?\nAnswer: 4497210","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k - 4. Suppose 22 = 2*d - k. Suppose 2*c = -0*c + d. Solve 2*p - 2*r = -8, 2*p + c = p + 2*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/9 - 104*q\/9 - 2704\/9.\nAnswer: -(q + 52)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121234\/4641 + -548\/21. Find the common denominator of z and 33\/101.\nAnswer: 22321","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 83 + 15)*(-4*a + a**3 + 4*a).\nAnswer: -47*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3084 is divided by 272?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14*u**2 - 3*u. Let j(l) = -5*l**2 - l. Suppose 0 = -2*n + 23*v - 18*v - 11, -5*n - 5 = -5*v. Give n*o(q) - 7*j(q).\nAnswer: 7*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -353 + 349. Let c be (16\/4)\/(4\/3 - 0). Put c, i, -1 in decreasing order.\nAnswer: c, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - v + 29584 = 0, -156*q + 4*v - 29581 = -161*q. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86c9 (base 14) to base 11\nAnswer: 16567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 - 10*f**4 - 9733360*f**3 - 7*f**2 + 955537*f - 6 wrt f?\nAnswer: -60*f**2 - 240*f - 58400160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357 + 154 = 73*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**5 - 10807*p**4\/3 + 45737*p**3\/3 - 21279*p**2 + 33736*p\/3 - 4820\/3 = 0.\nAnswer: -1205, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:04 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-20)*-4 - 1. Which is the closest to -6? (a) 3 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1363 - 1361. Factor -1\/2*n - 1 + 1\/2*n**j.\nAnswer: (n - 2)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to -0.317541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3482561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-10)\/l)\/l**(-5))\/(l*l**4\/l)**(-24) assuming l is positive.\nAnswer: l**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/4)\/54)\/((-10)\/6)*-9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24475 + -9232. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 70*m**7\/3 + m**3\/6 - 109*m**2 + 1297*m. Find the second derivative of o(c) wrt c.\nAnswer: 19600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 21*p - 18*p, 5*m - 2*p - 18 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 10 = -s + 5*b, -6 = -s - b. Solve -s*r + 9 = -2*v - 14, -20 = 2*v - 4*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1441, 2830, 4219?\nAnswer: 5608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xex when three letters picked without replacement from eeexxeeeeeex.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a = -22*a + 15*a + 460 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (10 + -4 + -3 + 1)) + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50708\/5 - 10142. What is the nearest to 0.48 in 3, 0.4, w, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 75451 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211680409.\nAnswer: 11779, 17971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15520 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12754 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 6*v - 16570 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 3*d + 7, 0 = y + d + 70 - 63 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 72021967 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 - 6*s**4 + 3*s**4)*(-6*s + s + s) + (2*s - 2*s - s**4)*(2*s - 5*s + 4*s).\nAnswer: 23*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62563799699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - g - 1. Let b be (-33)\/12 + 1\/(-4). Let v be u(b). Let k be v\/(-6) - (-5)\/15. Solve i - k*i = 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 7*k**2 - 3*k. Is x(6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13982\/5 - -1272192\/455. Let f = 3\/13 + m. Suppose i - 5*j - 30 = -0*j, -3*j - 5 = 2*i. What is the third smallest value in -1, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.878 + 0.016. Let c = a - 0.038. What is c rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20033 (base 5) to base 12.\nAnswer: -898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*f + 36, 0 = x + 2*x - 5*f - 44. Suppose 6*j - x*j = -80. Suppose 0 = 6*k - k - 20. Calculate the highest common factor of j and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 16. Suppose g = -3*g - 32. Let p be 3*g\/f + 4. Is 7 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(-1)))\/(r\/(r*r**(-1\/6)*r)))\/((r\/r**(3\/5))\/(r*r*r**3)))\/((r*r*r*r**(1\/4)*r*r)**(-38)*r**(-1)\/r*r\/r**(4\/9)) assuming r is positive.\nAnswer: r**(9242\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*n - 84. Let u(w) = w**2 + 2*w + 2. Calculate the remainder when n is divided by u(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 5*v + 21 = -17*f, 12 = 2*f + 2*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -795\/56 + 129\/8. Find the common denominator of -11\/42 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.015, -4, -1\/5, -5, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/29 + -139\/261. Let p = 0.37 - -9.63. Let z = -13\/11 - -43\/55. What is the smallest value in z, p, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -9. Suppose d + 1 = -5*o - 10, 3*d + 2*o - 6 = 0. Let x be 96\/(-180)*((-78)\/24 - -2). Which is the third smallest value? (a) x (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-51100)*154\/6*-8*(-4)\/88.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 17. Solve 3*c + 7 = -l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 155.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 6*o**2 + 6*o - 4. Suppose 0 = -5*v + v - 3*k + 1, -2*k = 10. Let r be c(v). Find the common denominator of ((-196)\/r)\/((-4)\/(-6)) and 43\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 85 = 4*s, -5*s - 16 = -5*d + 64. Let y = s - -51. Suppose -k = -13 - y. What is the greatest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 4, 2, -567 in decreasing order.\nAnswer: 4, 2, -27, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 7*t**2 - 6*t + 3. Let z be o(-6). Suppose 2*c = z*y + 41, c + 2*c - 58 = y. Suppose -80 - c = -3*r. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 261 = 282. Let o = -4 - -7. Suppose 3*n = -v + 17, -5*n = -5*v + o + 2. Solve -20 = 2*f - y*z, -f - n*z = -7 - 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 + 1 + 1 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283955 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -200269000 to the nearest 1000000.\nAnswer: -200000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 40 - 14 = -t, 0 = 4*t + 4. Suppose -2*o - 4 = -2, n*o = -4*b - 41. Let g = b - -41. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88464 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34800294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -25. Let q = 11 + -7. Calculate the remainder when 24\/(-2)*l\/16 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 16 = j. Suppose -5*q - 11 = 2*b, 3*b + 2*q = -6 + 17. Find the second derivative of b*o + 12*o**4 - o + 5*o - j*o**4 wrt o.\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 - 21*j**3 - 156.\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29929648643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1209, 1196, 1183, 1170, 1157, 1144?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*o**2 - 228 - 52*o**2 + 29*o**2 to q + a*o**2 + t*o and give q.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n - 2. Let f(z) = 2*z - 1. Let i(c) = 5*f(c) - 3*w(c). Suppose -28 = 5*y - 5*r - 33, -y + 1 = -5*r. Determine i(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -708 < -24814\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 237 + 3 = 0. Let l = -50 + p. Solve w + 5*r = -l, 10 = 3*w - 2*r - 3*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**3\/3 + 6*c**2 + 13*c + 3. What is the tens digit of z(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 6. Let w be -2 - ((-2 - 3) + -3). Let i be n(w). Suppose 2*s - 1 - 15 = i. What is the greatest common factor of s and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**4\/36 - 2*m**3\/9 - 2*m**2\/3 - 27*m - 10. Let o(z) be the first derivative of a(z). Let o(w) = 0. Calculate w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 676445, 676144, 675641, 674936, 674029, 672920, 671609?\n\"Answer: -101*d**2 + 2*d + 676544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 8*n + 1. Suppose 9*k - 530 = 4*k. Let q = k - 25. What is the remainder when q is divided by b(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 9, 1, -9?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482520?\nAnswer: 2, 3, 5, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 171*h + 27*h - 1386. Let l be ((-1 - -1) + -2)\/1. Let y be 0\/(l\/(-1) - 3). Solve y = -5*w - 2*g - 16, -4*w + h*w - g = -3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 9) in base 2?\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2761228740 to the nearest integer?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001563 to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2475 divided by -495\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -230 + -18636?\nAnswer: -18866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 32 = -4*r, 0 = 2*v + v. Suppose 3 = -g + r. Suppose -6*f + 3*f - 3*j = -3, g*j = -2*f - 10. Solve k + 21 = -5*s, -s - f*k - 9 = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 39*g**4\/4 + 9*g**3 - 18. Let o(d) = 3*d**3 + 2*d**2. Determine 27*o(m) - 2*v(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3525637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.7. Let i = 0.3 - n. Let f = -29\/9 + 32\/9. What is the nearest to f in i, 4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.67 + -0.33. What is the biggest value in a, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/4 + 2*g**3 - 37*g**2 + 77. What is the second derivative of t(c) wrt c?\nAnswer: -6*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4870159 and 539?\nAnswer: 53571749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -11. Suppose d*t - 33 = -13. Let n be -1 - ((-126)\/3)\/7. Solve -4*m - n*k - 2 = 0, -t*k = 2*m - 1 - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*d = -4278*d - 45603 + 8113 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from jgkkgka?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 + 7*v + 4. Let i(x) = x**2 + 3*x - 308. Let l(y) = -y + 51. Let r(t) = -i(t) - 6*l(t). Determine -2*q(z) + 5*r(z).\nAnswer: z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -92. Let o = c - -65. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.57 and -56140.9.\nAnswer: -537268.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0275 + 0.2275. Which is the nearest to -2? (a) f (b) -0.4 (c) -25 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 501, 493, 485?\n\"Answer: -8*f + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jljmljmjjllll. Give prob of sequence mlmj.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3753 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-366)\/5673)\/((-4)\/(-2)))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 5) to base 6.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.2, -39, -84 in ascending order.\nAnswer: -84, -39, -0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1866 - -1861. Sort -14, -4, 1, i, 2 in descending order.\nAnswer: 2, 1, -4, i, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 182 - -6713. Suppose 4*f = 5*j - 8455, 3*f + 3375 = 3*j - j. Let u = p - j. What is u rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 20*k**2 - 9*k + 456. Calculate the remainder when l(-21) is divided by 57.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2542 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 - 1037*t**2 + 156188*t - 5459100 = 0. What is t?\nAnswer: -1174, 62, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1347178 by -81.\nAnswer: -1347178\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100001000001110 + 0?\nAnswer: -1001100001000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v - 1. Let z(k) = 7*k - 7. Give 7*w(x) - z(x).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/4 + 957*o**3\/4 - 41829*o**2\/2 + 290088*o = 0. What is o?\nAnswer: 0, 17, 144, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/6 and -62\/405?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -17*h + 4. Let o(c) = 49*c - 16. What is 2*o(b) + 7*q(b)?\nAnswer: -21*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -761, -753, -753, -767, -801, -861?\nAnswer: -953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.18 and -0.87.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 73 + 16 + 14 + 191*l + 7. Is c(27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-2\/9)))**(3\/7) assuming u is positive.\nAnswer: u**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:08 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 5\/6*f**3 + 4*f**2 + 0 + 0*f**4 + 1\/60*f**5 + 0*f. What is the remainder when o(-4) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 17 = -5*t, 14 - 6 = -3*t + 17*f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-5*6\/(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -3, 3, 29, -2 in decreasing order.\nAnswer: 29, 3, -2, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322581 - 671*j**2 - 322581.\nAnswer: -671*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20307, -40564, -60765, -80904, -100975, -120972?\nAnswer: -140889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 3489244.7 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-3)*((-1120)\/(-48))\/14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/35 - (12580\/(-407) - -32 - (-4)\/(-5))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3080 and 3511420.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.8 + -1.48. Let g = 6016.69640571 - 6007.41641. Let x = q + g. Round x to seven decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(7)*1*-5 - (sqrt(567) + -2*(sqrt(567) + -1))**2.\nAnswer: -571 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 = -2. Let m be 10\/15*u*-3. Is 230\/8 + m\/8 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**6\/120 + j**3\/3 + j**2. Suppose -4*y - 3*y - 35 = 0. Let x be 2 - (-10)\/25*y. Calculate c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*(x\/((x*x**11\/x)\/x*x*x*x))\/x)\/x)\/x*x)\/((x**4\/x*x)\/x))\/(x\/(x\/(x\/x**(-3))))**2 assuming x is positive.\nAnswer: x**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 o when four letters picked without replacement from {i: 4, o: 4, g: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/5 - 2) + 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1790303.\nAnswer: 1790303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 4, 35\/6, -1\/4, 0, -3\/5 in descending order.\nAnswer: 6, 35\/6, 5, 4, 0, -1\/4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1 - 8*m + 26*m + 11*m. Suppose -8*j = -3*j - 10. Is v(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*v**2 - 67*v**2 - 13*v**2 - 73*v**2 - 74*v**2 - 79*v**2 - 75*v**2.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 2*c**5\/25 + c**4 - 354*c**3\/5 + 724*c**2 - 1240*c + 7114. Solve b(u) = 0.\nAnswer: -31, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from welqqw. Give prob of picking 1 e and 1 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 8)*(-7)\/(-1). Let f = -7 - y. What is the greatest common factor of 14 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (40 - -2)*(0 - 1). Let i = c + 97. What is the remainder when i is divided by -2 + 27 + -3 + -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i - 3. Is 1*(-2 - 53)*i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 226 + -172.884. Let w = 52.7 - -0.3. Let u = t - w. Round u to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-20) - 72\/(-15). Suppose 2*m + 235 = o*i, -3*i + m = -m - 141. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 94, 82, -2, -182, -482, -926?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329930 - 176698 + 460989 = 71*k. Does 211 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -9. Suppose -5*q + 4*q + t = -15, o = -3*t. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 12*d + 64. Let v be k(16). Solve -2*s = -3*a - 15, v*a - 2*a = 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 = i, -o - i - 3*i = 16. Suppose 43*y - 199424 - 1806 + 38819 = 0. Suppose o*l = l + y. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1227 - 34) + (1 - 7). Suppose 7973 = 1194*g - s*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 3:31 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -6 - 7 - (-2 - 3 - 6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -4736964\nAnswer: 4736969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*u**4 - 540*u**3 - 2676*u**2 - 720*u.\nAnswer: 3*u*(u - 30)*(u + 4)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 40 - 32. Let k(a) be the first derivative of 0*a**2 + 0*a**m + 3\/5*a**5 + 0*a**3 + 1 - 2*a. Find the first derivative of k(i) wrt i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*x + 25 = 2*v, 0 = -5*v - 5*x + 35. Solve -v*c - c = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 473\/(-99))*3.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:04 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 38. Calculate y(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 549.3 and -0.06.\nAnswer: -32.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77750 - -4.\nAnswer: -77746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3. Let x be 33\/5 - f\/5. What is the highest common factor of 77 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 4. Let i be (((-8)\/h)\/(-1))\/(19\/(-228)). What is the highest common factor of 408 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -141*m**2 + 313*m + 926. Let y be b(-3). Which is bigger: y or -1284?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 24 = 16. Suppose -n*z - 5*v - 70 = -3*v, 0 = 5*z - 4*v + 81. Sort -4, -1\/5, z in increasing order.\nAnswer: z, -4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-169478)\/(-3) - (-14)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1323*x + 1423*x - 382*x - 615*x to w*x + m and give w.\nAnswer: 1749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -623966818583589\/617855 + 1009891995. Let y = 8\/973 + i. Let d = 21646\/4445 + y. What is the common denominator of d and 4\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7825?\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 10*u - 15. Determine q(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - l**2 - 5*l + 17*l**3 - 10*l**3 - 14*l**3 + 3*l in the form o*l**3 + p + s*l + m*l**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209800*2.24.\nAnswer: -469952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-4)*102940\/(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1595632403 divided by -3\nAnswer: 1595632403\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -14. Suppose 5*v = -2*f + 33, 2*f + j*v = 44 - 16. Solve -6 = -2*p + f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 6*s**2 + 4*s - 15. Let i be c(5). Let q = i - 72. Find the common denominator of 35\/4 and -8*2\/q*(-21)\/(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 410406389 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 8*v**2 - 15*v + 95. Determine m(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-21))\/8*-21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -0.2, 2\/27, 0, 2, 5, 39.18?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.226 + 0.026. Which is bigger: r or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 2*q - 1. Let h(m) = -m**3 - 3*m**2 + 5*m - 3. Suppose 8 = -2*d - 6. Let p = 12 + d. Determine p*z(s) - 2*h(s).\nAnswer: 2*s**3 + s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 3.4. Let f = 1 - 1. Let k = f + y. What is the third biggest value in k, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.789 rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b + 13*b - 35*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3765597808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41829197, 41829195, 41829193, 41829191?\n\"Answer: -2*v + 41829199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t - 38*t**2 + 20*t**2 + 16*t**2 - 42. Let f(y) = y**2 - 9*y + 43. Let d(n) = -3*f(n) - 2*h(n). Let x be d(-13). Solve -2 + x = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*d + 22 = -37, 3*p + 1 + 56 = 3*d for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 10 = 5*y. Suppose -36 = -y*o - 0*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffzfzfzzfffzffffff. Give prob of sequence fz.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -322879*b**2 - 501*b + 134 wrt b?\nAnswer: -645758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573397461.\nAnswer: 3, 7, 13, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(243) + -2.\nAnswer: -2 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -9.565. Let m = 0.065 - z. Let p be 21\/75 - (-2)\/(-10). What is the smallest value in m, p, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253403 (base 7) to base 5.\nAnswer: -2444342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 57\/(-114) + 381\/2. What is the greatest common divisor of 30 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*j + 4*a - 96, 2*j - 24 = 4*a. Let t be 3 + (-16)\/5 - (-179400004)\/j. Round t to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011100100 (base 2) to base 13\nAnswer: a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*k**2 + 179*k**4 + 9*k**3 - 389*k**4 - 8*k**3 + 8604*k + 1515*k + 131*k**4 wrt k?\nAnswer: -948*k**2 + 6*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = 5*h - 93, h - 29 = -3*m. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-4 + (-4)\/((-48)\/57)). Let a = 0.04 - -0.46. Put 2, w, a, -2 in ascending order.\nAnswer: w, -2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-2080))\/((-27)\/216))\/(24\/10)\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 2:47 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211 + -172. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -25. Solve 2*a + k = 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -8. Let d(h) = -2*h - 9. Let u(y) = -y - 4. Suppose 16*s + 62 = -82. Calculate s*u(b) + t*d(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from fjpfjtjfcfftjsf.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 0.5 (c) 64 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2014, -8091, -18232, -32437, -50706, -73039?\n\"Answer: -2032*r**2 + 19*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 = 0, 5*m - 779 = -3*h + 3. Suppose 0 = -t - 4, -p = -4*p - 4*t + 2435. Suppose 4*a + m - p = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -372654.\nAnswer: -2\/186327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8105, 31994, 71809, 127550, 199217, 286810, 390329?\nAnswer: 509774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 270559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1496489943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, -156, -538, -1280, -2502, -4324, -6866, -10248?\n\"Answer: -20*r**3 - 2*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -248 - -249. List the prime factors of (v + 1)*12682\/68.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 6*j + 4*j)*(351 + 193 + 947)*(1 - 1 + 2*j + 1 + 2*j - 1 + (-1 + 0 + 0)*(j + 2 - 2) + 0*j + 3*j - j + j + 4*j - 3*j - 2*j + 3*j - 2*j).\nAnswer: 8946*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10708 - 0.598\nAnswer: -10708.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 - 2*o - 1. Let u be 2*(0 - (-11)\/2). Suppose 2 = 2*g - 5*x + u, -3*x = 2*g - 15. Suppose -2*y + 2*k - 7*k = 17, -k - g = 0. What is i(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*t + 3976162 = 3954548 for t.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x - 2. Let q(n) = -21*n + 8. Give 9*p(y) + 2*q(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152*j*q**3*t**3 - 2*j*q**3*t**2 + 122*j*q**3*t + 510417*j*q**2*t**3 + 382*j*t**2 + 254*t wrt t.\nAnswer: 912*j*q**3 + 3062502*j*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*g**2 - 2*g**3 - 5 + 37*g**2 + 2*g + 4*g**4 + 4*g**3 - 4 in the form w*g**3 + q*g + n + h*g**2 + s*g**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and 166.9.\nAnswer: -3838.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)*f**(-5))**35 assuming f is positive.\nAnswer: f**(-560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5685513 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 1. Let n = c - 0.20000004. What is n rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2060246665?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-9)*12\/2. Let g be (-6 - 2)*m\/4. Does 15 divide (-18)\/(-2)*g\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 17*j + 64. Let v be q(-20). Solve -5*b + v = -9*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 = -10306\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2521609?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 f when three letters picked without replacement from {z: 1, p: 1, f: 4, l: 2, h: 4, s: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 276, -17601 in decreasing order.\nAnswer: 276, 3, -17601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(-4*y - 4*y + y)*(-2*y + y + 0*y) in the form j*y + f*y**2 + m and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2051 is divided by 60.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffwi when four letters picked without replacement from wfwifwfffifffiifiwf.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 1. Let n = -4169 - -4168. Let r(o) = 39*o - 15. What is n*r(h) - 15*x(h)?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and ((-63)\/12)\/(18\/(-48)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:26 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00166011 to 5 dps.\nAnswer: -0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v = -208 - 72. Suppose x - 2*z - 744 = 868, -v = -5*z. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221012 + 2?\nAnswer: 221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5*d - 0 + 13, 0 = 2*d + 2. Let m(r) = -r**3 - 11*r**2 - 9*r + 13. Let h be m(-10). Which is the biggest value? (a) h (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2278610.\nAnswer: 2, 5, 23, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/10 and -13\/16245511.\nAnswer: 162455110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 9:05 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 23*r**2 - 35*r + 145. Give d(-22).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15685785405.99995 + -15685293414. Let o = -492005 + c. Let h = o - -13. Round h to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 2*c + 8. Suppose -v + 4 = -2*v. Let r be j(v). Let p(i) = -2*i + 19. Let n be p(r). Round n to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**2 + 155*r + 160 = 0. Calculate r.\nAnswer: -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/28 and 75\/122648.\nAnswer: 858536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 + 365. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-16)*-1)\/(((-1491)\/(-126))\/71)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004766934 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.12 - 1.11999886. Round p to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 18. Solve -9 = -3*v + y*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**2 - 2*x**2 - 26*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29f4 (base 16) in base 10?\nAnswer: 10740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 51573 divided by -17191\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 327*s**2 + 4 - 4 - 320*s**2 as n*s + u*s**2 + k and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-10)*10*1\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34146 (base 8) to base 14.\nAnswer: -5394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-28)\/8)\/7*0. Let l(c) = -2*c**3 + 5*c**2 - 7*c - 78. Let s(b) = 3*b**3 - 7*b**2 + 10*b + 117. Let t(y) = 7*l(y) + 5*s(y). Is t(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 1088?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1887 + 66*u + 2091 + 47*u - 2*u**2 wrt u?\nAnswer: -4*u + 113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.2. Let z = 13 + -12. Let q = 5 - z. Which is the nearest to 0.1? (a) t (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 5*q**2 + 4*q + 3. Let a(o) = o**3 - 5*o**2 - 6*o - 3. Let s be a(6). Calculate the lowest common multiple of 11 and p(s).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 492, 1929, 4324, 7677, 11988?\nAnswer: 17257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 277161*q**4 + 7*q**3 + 2*q**2 + 7*q - 911045?\nAnswer: 6651864*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = 5*l - 7, 0 = -3*z - 9. Solve 4*d = l*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-52))\/((-3)\/(-6))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**4 + 7*s**3 + 80872*s**2 + 199*s - 1482.\nAnswer: 48*s**2 + 42*s + 161744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -28*f - 2 + 22*f + 15*f. Let c = 2 + 0. Let u be x(c). Solve -b + 2*b - 1 = -3*n, 0 = 2*b - 3*n + u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.33 - -2.43. What is the closest to 0.3 in 3, -1, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*y**2 - 3\/2*y**3 + 0 + 0*y.\nAnswer: -3*y**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 8. Suppose 0 = d - 5*u - 7, -2*d = -u + 3 - 17. Give t(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26411462 + -23?\nAnswer: 26411438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 633 - 628. Suppose -2*l + 28 = -3*s, -s + 19 = -n*s - l. Which is greater: -18 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 - (-7)\/2. Let h = 22 + -27. Which is the third smallest value? (a) h (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3447.4ml in litres?\nAnswer: 3.4474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34455992)\/80 + (((-55)\/10)\/11)\/5. Round v to the nearest 10000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d + 93 = 128 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4404118.\nAnswer: 2, 1019, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2916\/18225)\/(8\/10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1333, -2608, -4725, -7678, -11461, -16068?\nAnswer: -21493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and -66\/41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 106210.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/((-79475)\/952) + (27\/33 - 1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 2*g**2 + 3 + 2*g**4 + g - 5*g. Let i(b) = -2*b**4 - 3*b**2 + 4*b - 4. Let f(z) = -3*i(z) - 4*j(z). Find the third derivative of f(l) wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 + 132. List the prime factors of c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1918 + -1404. Let i = -530 + m. Let h = -16 + 1. Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53294342 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/10)\/((-19)\/8455) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143433 is divided by 47495?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7)*6 - -2*sqrt(28)\/sqrt(4))*-5.\nAnswer: 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 9 - (-101 - -90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 + 22*j**2 + 55144*j - 17 - 55145*j + 18 as h*j**2 + u*j + w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -657959, -657957, -657955?\nAnswer: -657953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21870 is divided by 10873?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3*(-3)\/27.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 67010.\nAnswer: 67010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1950 and 55960?\nAnswer: 10912200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 574*t**2 - 571*t**2 - 3*t**3 + 69*t**3 + 59*t**3 - 31*t**3 to the form v*t**3 + f + c*t**2 + x*t and give v.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - 44)*(-15)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 226*y**2 - 24*y - 81. What is the thousands digit of j(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23267443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/10)\/((-2)\/(-15)). Suppose -32*h - 17 = -4*v - 29*h, -4*h = 3*v - 44. What is the highest common divisor of v and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10524223 (base 6) to base 10\nAnswer: 322359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 259*o - 16067. Calculate w(-156).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 11. Let l = 3 - 1. Let x = l + -2. Solve x = -w + v*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342871 = 813*l + 426610 for l.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/151?\nAnswer: -14\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3987384255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 48, -0.5, 2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - d + x - 8, 2*d = -4*x + 4. Let j(q) be the first derivative of d*q**3 + 4*q**2 - 2 + 6*q + 1\/4*q**4. Give j(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 207 in -324\/31, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, -3, -67, -2 in increasing order.\nAnswer: -67, -3, -2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from szngvzvgvooggvv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -0.14. Let r = 2.7 - 3. Which is the smallest value? (a) r (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 - 16364\/(-16)) + 6\/(-8).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 6*k - 1. Let f(u) = -u**2 + 8*u - 5. Let b be f(7). Let p be 3*2*b\/4. Let j = p - 8. What is d(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/46 and -9\/8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 763 and 43456?\nAnswer: 4736704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and -1260839 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.069978119 from 12.\nAnswer: 11.930021881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 806*s**2 - 1202*s - 400.\nAnswer: -2*(s + 1)*(s + 200)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12749)\/(-4) + 3 + (-26)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/7, 0.14, -2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 q when four letters picked without replacement from qjjhthdhhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6828887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.9 - -7.1. Let k = 0.73 + -0.8. Let n = 1.07 + k. Which is the closest to n? (a) -0.5 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Suppose 2*s = 7*s - 30. Solve -p + s = 2*n, 4 - q = -p + 2*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.6 >= 0.3083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 387217 (base 9) to base 10.\nAnswer: 234916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.46 - 0.431.\nAnswer: -3.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3871 is divided by 457?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31002*0.03609\nAnswer: 1118.86218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g**4 + 14*g**3 - 78*g**2\/5 - 38*g\/5 - 4\/5 = 0. What is g?\nAnswer: -2, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.21? (a) -0.2 (b) -7 (c) -4 (d) 420\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12075)\/6440*96\/(-342)?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6034915 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 2\/39508619?\nAnswer: 2\/39508619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybl. What is prob of sequence lb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -58, -10.\nAnswer: -58, -10, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b = -6, 0 = 4*p - 2*b - 170. Suppose -p = -2*j + d, -2*j + 8 = -3*d - 32. Calculate the lowest common multiple of 4 and j.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -13. Suppose 5*k - 60 = 3*w + 2*w, 5*w - 3*k + 54 = p. Let a(n) = -n - 14. Let v be a(-6). Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.74 * 2\nAnswer: 13.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.84 + -0.84. Which is the nearest to l? (a) 5 (b) 1 (c) -13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**7\/84 - z**6\/15 + 3*z**5\/20 - z**4\/6 + z**3\/12 - 10*z. Find s, given that t(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56361 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.3738196 (b) 1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1694 = 4*k - 394. Let x = k + -3648\/7. Factor 3\/7*l + 0 + 0*l**3 - 6\/7*l**2 - 3\/7*l**5 + x*l**4.\nAnswer: -3*l*(l - 1)**3*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 2*p + 4*p + p + 22. Let a be u(-5). Solve 0 = a*r + 2*m, 4*r + 16 = -r + 3*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 28*n**2. Let i = 223 - 140. Let c(k) = -83 + i + k. Give c(z(s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4567428271 to 4 decimal places.\nAnswer: 0.4567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 21. Let y be q(-7). Suppose y = -3*w + 60 + 18. Calculate the remainder when 76 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -2. Suppose -2*h - k + 3 = 0. List the prime factors of h - ((0 - 10) + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/11 or -2094\/217?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46094329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -526 times -5\nAnswer: 2630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + 630\/(-81) + (-10)\/126. Let v = -91\/332 - -2\/83. What is the closest to v in -2, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 22. What is w(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13722.63786 rounded to the nearest 100?\nAnswer: -13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53822 and 1394.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26 * 0.4.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 36. Suppose 4*d + 3*i - 41 = 0, 5*d - 2*i - l = 4*d. What is the lowest common multiple of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 1.1.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 119 = -127, 3*w + 40 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1328292 and 173\/664146.\nAnswer: 1328292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3048*r - 300 = -6046*r + 3018*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 8*i**2 - 5. Calculate a(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 - 117 = -16*m. Is (-25)\/(-20) + 91772\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o + 4*y - 14, 0 = -4*o + 3*y + 61. Let i = -8 + o. Suppose -i*k + 11618 = -2267. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145783 divided by 457\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**5\/75 - 31*q**4\/120 + 4*q**3\/15 + q**2 + 18*q - 22. Let f(w) be the second derivative of r(w). Factor f(p).\nAnswer: -(p + 8)*(4*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 64*h**2 - 322*h + 1. Give o(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)*3\/(-10). Let f(l) = l**2 + 8*l + 11. Let q be f(-6). Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-178 - -37) + 1 - (-16 - -17)?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-12)\/(-80)*8.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*j + 40 = 0, -129*w + 130*w - 4*j = 25. Solve 1 = -3*x - w*u + 2, -5*x - 17 = -u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1178, -945, -712?\n\"Answer: 233*h - 1411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-472)\/(-18) + (-2)\/9 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13770446 is divided by 5616.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22212, -22228, -22244, -22260?\n\"Answer: -16*b - 22196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(3045\/(-672))*5\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109804268003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-10)*a*a**(-2\/15))\/(a**(-11)*a*a**(-18)) assuming a is positive.\nAnswer: a**(298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, -55, 2, 9 in decreasing order.\nAnswer: 9, 2, -55, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) -2\/39 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 3, n: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 741, 7539, 26011, 62001, 121353?\n\"Answer: 974*m**3 - 7*m**2 + m - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) - ((-6620)\/(-45))\/(-4). Is o >= 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-32)\/10)\/((-1260)\/(-8400))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55.12 - 56. Let o = -12 + 11.78. Let p = x + o. Round p to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, -78, -177?\n\"Answer: -99*u + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8098?\nAnswer: 2, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 67 = -j, 91 = -4*q - j - 28. Let l = -50 + 39. Let k = l - q. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-1*7\/(-21))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -13*x + 12. Solve 0 = 4*i - a + 5*a - 24, x*i = 4*a + 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -7. Let i = 4 + -1. Suppose 2*v + i + 5 = -3*h, 3*v + 12 = h. Put 4, t, h in descending order.\nAnswer: 4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63693 = -101*x - 368*x - 163*x - 15307 for x.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -10452 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.099, -84, 3213?\nAnswer: 3213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p - 63. Let u be i(-15). Let h(b) = b**3 - 2*b**2 + 2*b - 2. Suppose x + 3 = 5. Let l(f) = 2*f**3 - 3*f**2 + 3*f - 2. Determine u*h(s) + x*l(s).\nAnswer: s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 6*o**2. Let m(f) = 11*f - 98. Let g be m(9). Let i(x) = x**3 - x**2. Determine g*l(v) + 5*i(v).\nAnswer: 4*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 11:35 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 12:10 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f + 3*f + 6*f + (3*f - 2*f - 2*f)*(5 + 3 + 7) to g + j*f and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyytbybybtttbbbtbt. What is prob of sequence ttyt?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 1. Let y = 5 - 7. Let t = -6.8 + 9.8. Which is the closest to y? (a) -2\/11 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggv. What is prob of picking 1 v and 1 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -972.198 - -973. What is q rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*f**2 - 12*f**2 + 22*f**2)*(14*f**3 + 11*f**3 + 3*f**3) - f**5 - 2 + 2 + (-2*f**4 + 7*f**4 - 4*f**4)*(f - f + 4*f) + 0*f**5 - 2*f**5 + f**5.\nAnswer: -194*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*4\/(-32))\/((-2)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125 + 124.939. Let x = 0.061000592 + g. Round x to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214367.463 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3310)\/2317*21\/12*332\/10.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/15582 and 107\/1590.\nAnswer: 77910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 393914 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -595 + 646. Suppose -47*m + p*m + 3*a - 123 = 0, 2*m + 5*a = 79. Solve 5*j - 2 = 5*g - m, 7 = 5*g + j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/6 + 812*d**4 - 87371*d**3\/6 - 812*d**2 + 14562*d = 0.\nAnswer: -1, 0, 1, 18, 4854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 - 449\/(-3). Is (0 - 1 - -1) + m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71853.545 rounded to the nearest 1000?\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 + 103*x**2 + 2*x - 2 - 25*x**2 to q*x**2 + f*x + g and give q.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4069.8 + -4070. Let b = -14 - -10. Put -1, b, s in ascending order.\nAnswer: b, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 >= 506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v**2 - 3 - 2*v + 0)*(-v**3 - 2*v**3 + v**3).\nAnswer: -2*v**5 + 4*v**4 + 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9004 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 723362156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23438 is divided by 72.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -21*i + 119. What is o(10)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*s = 102*s + 693. What is the units digit of -9 + s - (3\/(-1) - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -14*z - 3. Let a(x) = -21*x**2 - 24*x**2 - 26*x**2 + 72*x**2. What is k(a(c))?\nAnswer: -14*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 20. Let i = 8 - z. Let g = i - 2.1. Round g to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*i - 269679 + 269535 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.404? (a) -1\/3 (b) 3 (c) -0.06 (d) -3\/8 (e) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3422419 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*y**6 - 337*y**4 - 9092*y**3 - 16394097*y**2 - 2*y wrt y.\nAnswer: 480*y**3 - 8088*y - 54552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45909 and 27.\nAnswer: 137727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2\/5 - 387*o\/5 - 78 = 0. What is o?\nAnswer: -1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 82742, 165341, 247940, 330539, 413138, 495737?\n\"Answer: 82599*m + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 1, -206, 37, -0.08 in descending order.\nAnswer: 37, 4, 2, 1, -0.08, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12614 divided by -53\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28 + 8*a**4 + 28 - 6*a + 0*a wrt a?\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 734795*g*o**2 - o**2 - 53*o + 6620 wrt g?\nAnswer: 734795*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8869*z + 5189 - 5189)*(2*z - 3*z + 3*z)*(0 - 3 + 1)*(-2*z + z + 0*z).\nAnswer: -35476*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.4, -2\/3, -4\/45, 184\/29, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 147775079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7072000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2300*y**4 + 675634*y**3 + 844964*y**2 + 149330*y - 17700 = 0.\nAnswer: -1, -15\/46, 2\/25, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.66439ml to litres.\nAnswer: 0.02066439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17862 divided by -6.\nAnswer: 2977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 37. Let k be q(16). Suppose -2*i = 2*i - k*i. Suppose 0 = u - o - 3, -2*o + 1 = -3. Solve 0*s + 4*s - 5*j = -1, i = s + u*j + 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*n - 27, -i + 2*n + 0 = -12. Let k be 4\/i*(-5 + 11). Solve -2*m - 9 = 5*p, -3*p + 2 = -k*m - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*w = 242*w - 480. Let u(i) = i**2 + 6*i - 4. Let x be u(-7). Suppose x*z + 9 = 69. What is the highest common factor of z and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -2?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -36139.309 plus -0.24?\nAnswer: -36139.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -80 in 3\/2, -0.1, -2, 0.2, -3\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4049 less than -318.74178876?\nAnswer: -4367.74178876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 24059*d**2 + 163363*d + 33635.\nAnswer: (d - 4805)*(d - 7)*(5*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - 40*d**4 - 3 + 45*d**4 + 13*d + 28*d**4 wrt d.\nAnswer: 396*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21978 and 2790.\nAnswer: 3406590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:53 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2398, 1, -3, 0, -29 in decreasing order.\nAnswer: 1, 0, -3, -29, -2398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25)\/28 - (-6)\/8. Which is the biggest value? (a) -5 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 5, -86, -3 in descending order.\nAnswer: 81, 5, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r + 0*r + r)*(r**2 + 4*r**2 - 3*r**2) - 3*r**3 - 3*r**3 + 5*r**3 - 14880*r**2 + 14880*r**2 - 31*r**3)*(r**2 + 3*r**2 - 5*r**2).\nAnswer: 30*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4998422)\/819)\/(4636\/(-3)). Let d be 6919\/11590 - (-63)\/(-105). Let p = d - m. Find the common denominator of p and 5\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 2*z**4\/3 - z**3\/2 + 5*z**2\/2 + 3170*z. Let m(y) = -8*y**2 + 2*y - 4. Determine 2*c(n) + 3*m(n).\nAnswer: -8*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -610870 (base 10) in base 9?\nAnswer: -1130854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 + 6*l**2 + 2*l**3 - 5*l**4 + 4*l**4 - 1 - l**2 to the form w*l**2 + r*l**4 + n*l**3 + s + z*l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 364863 divided by -1\nAnswer: -364863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, 21, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 28962048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 11*o**5\/4 + o**4\/6 + 29*o. Find the third derivative of k(i) wrt i.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((9\/(-48))\/(-1))*-1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -9\/20*a**5 - 3*a + 4*a**4 + 1\/2*a**7 - 8\/5*a**6 + 0 + 0*a**2 - 2*a**3. Solve w(n) = 0.\nAnswer: -1, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/2)\/((-18)\/486). Let s be ((-4)\/(-40)*j)\/(18\/15). Is -1 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20123724*b**2 - 7*b + 1959227.\nAnswer: -40247448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 - 102. Let x = 42.2 - n. Let l = x - -6.6. Which is the third smallest value? (a) -3\/2 (b) l (c) 0.3 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/249975639 and 34\/138875355.\nAnswer: 1249878195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - 23\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-531)\/(-315)*-25 + 42)\/((-470)\/(-469) - 1)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 5*x.\nAnswer: 5*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73\/520 - 1\/65. Sort -4, 0.1, i in ascending order.\nAnswer: -4, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycyxgcigxicyx. What is prob of picking 1 y and 3 c?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 11. Suppose -3*s - 17 = 2*a, c*s - 2*s - 68 = 5*a. Let j = a - -55. Is j a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*j + 32*t = -219*j - 44, 2*t - 7 = 5*j + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:23 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13882180 to the nearest integer?\nAnswer: 3726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - o. Let u be z(-1). Suppose 48*h + 38 = 67*h. Solve u = -4*t + h*t - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18731 - 18729. Let y(o) be the first derivative of 0*o**5 + 0*o**4 + 18 + 0*o - 7*o**3 - 10\/3*o**6 + 0*o**f. Find the third derivative of y(q) wrt q.\nAnswer: -1200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -25\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110010100100 (base 2) in base 6?\nAnswer: -1113300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 7 = 3*s - 473, 3*d + s = 282. Let c(p) = -p**3 - 2*p**2 + 2*p + 1. What is the remainder when d is divided by c(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k - 1. Let l be v(-1). Which is the nearest to 1? (a) l (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146160 and 36.\nAnswer: 146160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**6\/120 + 3*c**5\/20 - c**4\/3 + 2*c**3\/3 - 19*c**2. Let v = 8 + 0. List the prime factors of l(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 4. Let h be d(0). Suppose y = -2*w - 2*y + 25, 0 = -4*y + h. Factor 4*u**4 + 4*u - 8*u**3 + 19 - 4 + 4*u**5 - w - 8*u**2.\nAnswer: 4*(u - 1)**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 5*z - 12, -2*f - 12 = f - 4*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 3, 1, 5, 10, 4 in increasing order.\nAnswer: 2\/21, 1, 3, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12682 and 10071?\nAnswer: 342414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1011 + 1028. What is the remainder when 508 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 16 = 11*l - 10*l, -a = 2*l + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-126)\/5964*42\/(-63)?\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 17 = 3*m, 9*m - 3*v = 10*m + 11. Suppose 28 - 32 = -m*k. Solve -2*u = 2*c - 5*c + 2, 3*c - u = k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 71226?\nAnswer: -21367.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*u**3 + 133*u**3 + 139*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 4*m**2 - 2*m + 652. Let g(h) = 1. Let a(p) = -p + 6. Let j(s) = -a(s) + 6*g(s). Determine j(i(y)).\nAnswer: 8*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - p + 3*p = 2, -2*p - 6 = 0. Which is the closest to -1\/3? (a) 1\/10 (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 202. Let h(q) = 56. Let d(z) = 14*h(z) + 4*i(z). Let t(l) = 3*l - 16. Give 5*d(v) - 7*t(v).\nAnswer: -v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112*q**5*w - 311*q**4 - 6*q**3*w**3 - 44*q**2*w**3 - 2*q**2 + 140377*q*w**3 wrt q.\nAnswer: 6720*q**2*w - 7464*q - 36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -346\/721 + 20\/103. Let k = 0 + 1. Sort k, p, 0, 5 in descending order.\nAnswer: 5, k, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*c + 6 = 0. Let h be -2 + 5\/((-5)\/16). Calculate the remainder when 3 is divided by h\/(-10) + c\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 4*q - 409. Suppose 5*m - 863 = -u, 3*u + q + 19 = m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92427044.\nAnswer: 2, 127, 181943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-12)\/36)\/((-37302)\/(-7461) + -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.031 + 15.169. Let z = d + -15. What is the second smallest value in z, -4, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -2 + (sqrt(19) + (sqrt(19) - sqrt(133)\/(-2*sqrt(7))) - sqrt(19)))**2.\nAnswer: -34*sqrt(19) + 5507\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178)*-2)\/(sqrt(24)\/(sqrt(8)\/sqrt(2))).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 2:02 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 3*n**3 + 2*n + (-1 - 2 + 1)*(3*n**3 + 0*n**3 - n**3) + 2*n**3 - 4*n**3 - 2*n**2 + 4*n**3 to x*n + q + b*n**3 + u*n**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {k: 1, t: 4, m: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27781)\/6*2\/(-4). Let u = d - 2312. What is the common denominator of u and ((-2)\/(-8))\/((-2)\/31)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4788.48935 rounded to the nearest ten?\nAnswer: 4790","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-3 + 8 - 0) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11*(0 - (-13 + 423\/33)). Find d such that 0*d**k + 0*d**4 + 1\/4*d**5 + 1\/4*d - 1\/2*d**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2782 = 49*o + 6*o + 52*o for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10133, -40725, -91771, -163271, -255225?\nAnswer: -367633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -4, 9, 18, 22092 in decreasing order.\nAnswer: 22092, 18, 9, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77580 by 60.\nAnswer: -1293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 4*h**2 - 2*h - 1. Let q = -22 + 18. Determine j(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9016, -9021, -9026, -9031, -9036, -9041?\nAnswer: -9046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/(-119) - 136\/182. Which is smaller: 0.25 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33\/464, -4\/9, 4\/3 in descending order.\nAnswer: 4\/3, 33\/464, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + -3 + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 5, -0.2, 240?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4 - 4558612*v**3 - 5195235841636*v**2 = 0. What is v?\nAnswer: -2279306, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**4 - 2*c**2 - 12. Let t(a) = -69*a**4 + 15*a**2 + 84. Let u(h) = -15*l(h) - 2*t(h). Differentiate u(v) with respect to v.\nAnswer: -48*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 263157257984\/1785 + -147427039. Let g = 166\/85 + n. What is the common denominator of g and 1\/12*175 + -4 + -4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**4 - 3614*p**3 - 35998*p**2 - 104266*p - 71880 = 0.\nAnswer: -1797, -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -14*m**4 - 2552*m**3 + 8834*m**2\/9 + 12068*m\/9 + 2192\/9 = 0.\nAnswer: -548\/3, -1\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 765180 and 26596.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 10895*p - 10900.\nAnswer: 5*(p - 2180)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3187554.\nAnswer: 2, 3, 19, 27961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - -18) + -19 - -14) + -30?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + 0.34. Let g = -13.1 + 12.7. Which is the fourth smallest value? (a) r (b) g (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56468 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -241 (base 13) to base 12\nAnswer: -287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*r**2 - 8 - 5 + 1.\nAnswer: -2*r**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(1053) + -5 + -2*sqrt(1053) + -3)**2*-2.\nAnswer: -2230 - 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08992734 rounded to 4 decimal places?\nAnswer: -0.0899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2. Let b(y) = -1479*y**2 - 1401*y**2 + 696*y**2. Determine z(b(w)).\nAnswer: 4769856*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 3*p + 2. Let t be (-4)\/6*((-5)\/2 + 1). Let z be l(t). Let m(h) = 3*h**2 + h - 4. Let n be m(z). Sort 0, n, 4.\nAnswer: n, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6518\/3 - -2173. Let a(x) be the second derivative of 0*x**2 - o*x**3 - 17*x + 0 + 1\/6*x**4. Factor a(b).\nAnswer: 2*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.49 - 2.6. Let s = -0.10979 - b. What is s rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4473293992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 5:53 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-18) + 4\/18. Let v = w + -1. Let c = 2 - v. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -4*p + 4, -5*p + 147 = -4*p - 4*b + 139 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -11*r + 300. Let l = r - 42. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*y - 69*y + 19*y + 19*y as f + c*y and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -61*k + 15559. Give u(255).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 5, 359*l + 7 = 358*l + 2*j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40005 and 40005?\nAnswer: 40005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-1)\/(-120)*4.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3661794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 54 + 6. Let y = b + 23. Differentiate -y*d + 17*d + 3 + 2 with respect to d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 66*u**3 + 21*u**2 - 21*u + 21. Suppose -2*d - 54 = -46. Let t(y) = -13*y**3 - 4*y**2 + 4*y - 4. Determine d*m(s) - 21*t(s).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**4 + 3*t**4 + 2*t**4)*(2*t + 0*t + 0*t) - 10*t**5 - 4*t**5 + 4*t**5.\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(4\/40*-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 5*a**2 - 7*a - 6. Let h(w) = w**3 - 42*w**2 - 47*w + 166. Let s be h(43). Give o(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.039 - 0.034559842804\nAnswer: 0.004440157196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3 - 36*i**2 + 8*i**3 - 8*i**3 + 23*i - 3*i + 2 wrt i?\nAnswer: 12*i - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 420\/(-294) - (-74562)\/(-903).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27134, 54268, 81402, 108536, 135670?\n\"Answer: 27134*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Let t(w) = -903*w**2 + 5*w - 397. Give t(b(y)).\nAnswer: -903*y**4 - 5*y**2 - 397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15147*q - 14973*q + 11 - 14)*(-3 + 0 - 5) to x + k*q and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132863137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 99*p + 40186. Give t(-256).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6330)\/(-1899)*15\/4*(28\/(-30))\/(-14)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 8:30 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8648 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-5*(-11)\/(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 399 - 271. Let s = p + -133. Which is greater: 7 or s?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 1)*(3*j - 2*j - 5*j + (j - j - j)*(-2 + 3 - 3)) to z + y*j and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*c**4 + 222 - 44*c**4 - 20*c**4 wrt c?\nAnswer: -276*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -32 - -87 - 43.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j*j*j\/(j*j**(-5\/2))*j)\/j*j*j)*j*(j**(-11)\/j*j)\/j*(j**2)**(-1\/50) assuming j is positive.\nAnswer: j**(-827\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/14*4578\/(-132) and 74\/(-104) - (0 - 0)?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4595561 divided by 6\nAnswer: 4595561\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-9)\/(-4) - 2). Suppose -1 + 13 = p*t. Suppose c - 143 = 2*y, t*y = 2*c - 3*c + 118. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + c + 2. Let f be x(2). What is the remainder when 288 is divided by 59\/1*(f - (-5 - -16))?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 11\/2, -4, -0.2758, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 2\/7 (c) 1\/3 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 666.7633 millilitres?\nAnswer: 0.6667633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -14*u**3 + 9*u. Let k(n) = 4*n**2 + 15*n + 4. Let g be k(-4). Let x(b) = 9*b**3 - 6*b. Give g*x(l) + 5*d(l).\nAnswer: 2*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 2 + 5*c - 2*c - 8. Suppose -10 = -5*k + 15. Suppose -v + 5*l = 3*v - k, -20 = 5*v - l. Determine d(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 29*v - 2687. Calculate l(91).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 0 = -24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160\/(55\/11)*(4 - 2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001 + 101110101?\nAnswer: 111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49635506 divided by 2129?\nAnswer: 23314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bttu when four letters picked without replacement from tbuuutpuutxtttutpuuu?\nAnswer: 21\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 3*a + 167. Let r be ((-4)\/(-12))\/((-2)\/a). Calculate the highest common divisor of r and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 310. Let o be k(25). Let s = o + 284. Is -1\/224 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - 0) + -2 + -11 + (39 - 39).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f + 14. Let p = 17 - f. Suppose 3*r = -p*i + 51, 4*i = 3*r + 3*i - 59. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4\/9, -2\/5, 0.9, -1790?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**3 + 3*l**2 - 2*l + 3. Determine u(2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993379 divided by 3?\nAnswer: 997793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1)\/1 + 2. Suppose 2*a = -3*x + 16, -v*a + 4*x - 13 = -3*a. Find the second derivative of -2*k - 20*k**a + 0*k**2 + 19*k**5 + 0*k**2 wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 2:05 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*a + 5 + a + 10*a)*(-a**2 + a**2 - 3*a**3) in the form z*a**4 + d + m*a + w*a**2 + h*a**3 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1012160 - -73?\nAnswer: -1012065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 + g - 1. Calculate o(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/196 and 1\/28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*w + 1 - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/((-20)\/5) - 3. Is (-2)\/b - 35660\/(-100) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7384902 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-688503\nAnswer: 344251.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-34 - -22) + 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2146000*3.1.\nAnswer: 6652600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(325) + 3)*-5)**2 + ((sqrt(13) - sqrt(13)*3)*5 - (sqrt(325)*1)**2).\nAnswer: 6740*sqrt(13) + 74825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211621 is divided by 105689.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -d + 16*n + 9, -4*d - 32 = 4*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/11, 0.081, 552 in ascending order.\nAnswer: -2\/11, 0.081, 1, 552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 255\/40 - -9)\/(6\/(-4)). What is the biggest value in -0.5, -0.2, -1, s, 1\/141?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 - 6.1355\nAnswer: -5.9755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 15466350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*c**2 - 3*c - 45 + 3*c + 42 in the form u*c**2 + s + j*c and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -3*d + 5*h - 8, -15 = 3*h. Let m(k) = -702*k**3 - 3*k**2 - 2*k - 1. Is m(d) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 5) + (-5 - (2 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Which is the third smallest value? (a) 0.4 (b) -6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/18 - (-9)\/(-54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 28. Suppose 5 = -5*w, 4*g = 3*w + 36 + b. Suppose -4*k - 9 + 29 = 0. What is the remainder when g is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from {d: 3, t: 4, u: 7}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06505513989 rounded to 4 dps?\nAnswer: -0.0651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 5:50 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 753099.7 years?\nAnswer: 75309.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.583 + 0.083. Let h = 46.45 + -44. Let c = h + o. Round c to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -534 + 555. Suppose 13 = 5*t + 3*u, -t + 18 - z = -5*u. Solve -t - 4 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*k - 16 = -0*y, -5*y - 2*k + 14 = 0. Suppose 0*w + y*w - 20 = 0. Let r(h) = 11*h - 6. What is the remainder when r(4) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*s - f = 1106, 11*s - 12*s - 16 = 3*f for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*d = 3*d - 1, 5*l - 3*d + 31 = 0. Sort l, -2, -3.\nAnswer: l, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1866063732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 23. Suppose -w = -i + 2. Suppose 0 = o - i - 27. Calculate the remainder when o is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56426750 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1636*x - 9486. Calculate g(5).\nAnswer: -1306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 846769443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/8 - (-2)\/8. Let b be ((-7 + 0)\/(-7))\/((-1)\/(-12)). Let s = -11 + b. Sort 0, s, g, 3.\nAnswer: g, 0, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13516.85 to the nearest one hundred.\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 54, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + 0. Let r = -292 + 286.93. Let y = -0.07 - r. Which is the second smallest value? (a) y (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (517 - 9599*v**2 + 1876 + 9601*v**2)*(-6 + 5 - 2*v + 3*v) to j*v + b + a*v**3 + w*v**2 and give b.\nAnswer: -2393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.1. Let j = 0.4 + -0.4. Let v = j + 0.4. What is the closest to x in 0, v, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 27*f - 123. What is x(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 924364.5 nanometers to micrometers.\nAnswer: 924.3645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a + 17 = -115. Let p(g) = -5*g + 2. Let x(k) = -11*k + 4. What is a*x(y) + 9*p(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) 4 (b) -41 (c) 262\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8)*((-6)\/(-154))\/((-234)\/(-546))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o + 13 - 21*o**2 - 8 + 0 + 24*o**2.\nAnswer: 3*o**2 - 11*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 181819915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/5))**(4\/19)\/((v**10\/v)\/(v\/v**(-1\/6))) assuming v is positive.\nAnswer: v**(-4537\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0577 take away -16528479?\nAnswer: 16528478.9423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -89*x - 27. Let h be m(-8). Suppose -17*t + h + 3055 = 0. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by -34153\nAnswer: -71\/34153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1270\/70 + (221 + -188)*(-2)\/6\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1 minus 224719486?\nAnswer: -224719476.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 3393?\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -6*a**5\/95 + 5*a**4\/38 - 2*a**3\/57 - a**2\/19 - 9. Factor w(m).\nAnswer: -2*m*(m - 1)**2*(3*m + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12567, -25096, -37623, -50148, -62671?\nAnswer: -75192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3480*v**4 + 552*v**3 + 12128245*v**2 wrt v.\nAnswer: 83520*v + 3312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 697053311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76\/15 or -5?\nAnswer: -76\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -104120033 (base 5) in base 8?\nAnswer: -1575456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/6 - -3) + (-8)\/30. Let n = -379.2 - -377. Let i be (-2)\/(-3) - (-32)\/(-66). What is the third biggest value in v, i, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/318 and -3\/8.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -6. Calculate the lowest common multiple of (8 - 0)\/(5 + 0 + -1) and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2\/15, 2\/393, 0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/10)\/f)**24\/(f**(-9\/5))**(-21) assuming f is positive.\nAnswer: f**(-201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f. Let o(d) = -17*d**2 + 0*d**2 - 5*d**2. Determine o(m(i)).\nAnswer: -88*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 1030, 5, 3 in increasing order.\nAnswer: -4, 3, 4, 5, 1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4306867 < 4306841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 3) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.117\nAnswer: 0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1947?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c - j = 31, -j = -c + 13. Solve c = -2*d + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 4960 = 14*h. Let s = -564 + h. What are the prime factors of s?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 10 = 15. Let d be ((-88)\/(-9))\/1 + (-10)\/(-45). Let a(c) = -c**2 + 5*c - 1. Let w be a(4). Solve 0 = -w*f + d - r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (102\/119)\/(3\/469). Which is greater: 132 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 3*v - 1. Suppose 0 = -19*a + 36*a + 51. Determine l(a).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -13 + (-1 - -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - h = -6*h + 4, 0 = -3*r + 5*h - 11. Let x(o) = o**2 - 5*o + 1. Is x(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w*w\/((w*w**(-2)\/w*w)\/w))\/w)))**1*(w**4*w)\/(w*w\/(w**(-4)*w)*w*w) assuming w is positive.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*l, 514 = 2*r + 2*r - 2*l. Suppose r = 5*c - 324. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3524*g**2 - 107*g - 215. What is the hundreds digit of x(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g - 20. Suppose -4*j = -8 - g. Suppose j*l - 26 = 2*l. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 521*n - 6937. List the prime factors of r(61).\nAnswer: 2, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*p + 73*p - 2*p**2 + 16 + 3*p**2 to o*p**2 + k + t*p and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 11) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15363*p - 460968. Determine s(-30).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/77? (a) -0.4 (b) 2\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - (-4 + 4 + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6111\/(-1260) - -5)\/(3\/30 - 0).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3496392 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 2*c**2 - 3. Let u(v) = 15*v**3 + 15*v**2 - 20. Suppose 0*d + 3*d + 60 = 0. Let z(n) = d*o(n) + 3*u(n). Factor z(p).\nAnswer: 5*p**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 12 + (16 - -23)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -881, -882, -883, -884, -885, -886?\n\"Answer: -d - 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 151135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*a + 751*a + 4560 = 0 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 145*i**2 + i + 2. Calculate a(-1).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 421 + -130. Let r = p - 207. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21648636 and 1590894.\nAnswer: 1104080436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 34354, 0, 0.1, 0.01?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftfi when four letters picked without replacement from {i: 3, f: 6, t: 4}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**2 + 2*t - 1. Suppose 5*z - 67 = -3*g, -3*g = -5*z - 44 - 3. What is the remainder when m(-3) is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/((w**25*w)\/w)))**(-4\/27))**4 assuming w is positive.\nAnswer: w**(-400\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 0*l**3 + 0*l + 0*l**4 - 152 - 32*l**2 - 70\/3*l**6 + 0*l**5. What is the second derivative of n(z) wrt z?\nAnswer: -2800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-4*k - 2*k + 5*k)*(7*k + 0*k + 0*k)*(-1 - 3 + 3).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -442 divided by -4657.\nAnswer: 442\/4657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 20*y**3 - 192 + 321 - 53.\nAnswer: 20*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = k - 106, -15*s + 13*s - 3*k = -8*k - 37 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c**2 - 12*c - 12. Let o be m(-5). Suppose -4*s + n + o = 2*n, 5*s + 5*n - 415 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49372 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0254 - 0.007. Let t = x + -0.028. What is t rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-10)*(12\/(-7))\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 259 - 520 + 261.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-77)\/14*2. Do w and 127\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1884 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.2 - -24.2. Let h = 0.8 + 0.2. What is the closest to h in 0, w, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/27393 and 149\/126246.\nAnswer: 2903658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 6 - 0) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 696 = 2*y - 6*y, 3*y + 4*a + 517 = 0. Let d = y - -181. Put -8, d, -1 in ascending order.\nAnswer: -8, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 197 or 0.056?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -229*t. Let h(r) = 54*r**2 + 15. Let n(x) = 836*x**2 + 231. Let l(c) = -77*h(c) + 5*n(c). Calculate l(a(u)).\nAnswer: 1153702*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*f, 0 = -2*g + 2*f - 3*f + 2572. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6478 - 0?\nAnswer: 6478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.936639 weeks to hours.\nAnswer: 997.355352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63.2 - 63.3. Which is the third biggest value? (a) 3 (b) z (c) -2\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448, 828, 1196, 1546, 1872, 2168?\nAnswer: 2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -74*d**3 - 23*d**2 + 34*d + 103. Let k be c(-17). Round k to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11559 - -22032. What is the thousands digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -17 - (164 + -160).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-2)\/(-6))\/(8\/(-48)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + -15?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 619095 and 1606702.\nAnswer: 2225797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-120)\/32*(-4)\/5. Solve 0 = 3*o - t - 1, 11 = -0*o - 2*o + z*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(10 + 0\/6). Is (-51716)\/(-21) - -2 - b\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtgw when four letters picked without replacement from xtttgwtwoxwotooowwxo.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) + 148\/18. Suppose 3*f - 7*f = -y. Suppose -f*m = -180 + 38. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-15))\/((-9)\/465*175\/(-105))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**3 + 7*b**3 + b**3 - 3*b**2 wrt b.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 - 7*h**2 - 6*h - 1. Let w be g(-5). Suppose -w = -2*x - 2*x. Does 26 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o + 51. Let c be i(8). Solve s - 3*s + 9 = 5*j, 6 = c*s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1530*m + 418. Let y be z(-4). What is the highest common factor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 448*g - 1361. What is the hundreds digit of s(59)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -74\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 689 divide 520195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 280*l**3 + 2*l + 0*l**2 - 282*l**3 + 3*l**4 + 2*l**2 to d + p*l**4 + h*l + o*l**2 + w*l**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 55164 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 18, 8, 72, 1, 29 in ascending order.\nAnswer: -1, 1, 8, 18, 29, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.988996 tonnes in nanograms?\nAnswer: 5988996000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. What is the lowest common multiple of ((-28)\/(-6))\/(((-49)\/7)\/(-21)) and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(3520)*3)\/((-1*-1*sqrt(66))\/(-1*sqrt(600))).\nAnswer: -480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*s - 3088 = 54*s - 140*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 0, 22*a - 26*a - 2*g + 16 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 8:58 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 4*o**2 + 3*o**2 + 115*o.\nAnswer: o**2 + 115*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpllsxxlo. Give prob of picking 2 l, 1 o, and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -7. Let o = x - -2. Let f = -4628\/3 + 1542. What is the smallest value in o, f, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**8\/6720 + z**7\/504 + z**6\/180 + z**5\/20 - z**4\/6 + z. Let x(s) be the third derivative of d(s). Calculate x(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79610 is divided by 39763?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 65, 110, 155, 200?\n\"Answer: 45*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 88\/12 + (-2)\/6. Let x be d\/14 - (-3 + 3). Let q be 592\/48 - 11 - 11\/6. What is the nearest to x in -4, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42\/29 - 94\/145. Let u = 65 + -110. Let a be (-18)\/15*u\/(-6). What is the second smallest value in 2\/5, a, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2)*(0 + -1). Let u(y) = 10168*y - 8. Let c be u(f). What is c rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59749887.\nAnswer: 3, 19916629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*b + 10. Let g = -6 - b. Suppose 0 = 6*x - g*x - 753. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -35. Suppose -27*b + 274 = -158. What is the highest common factor of v and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 815\/20 - 0 - (-1)\/4. Suppose 0 = x*n + 678 - 4327. What is the remainder when n is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 385, 619, 853, 1087, 1321?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -1)*1\/2. Suppose 4*f = -y*f + 132. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3313 - -3312. Sort -1\/2, u, 2\/9, 3\/5, 2.3.\nAnswer: u, -1\/2, 2\/9, 3\/5, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -445\/1097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 4*b. Let n(k) = -3*k**2 - 8*k. Let z = 1 - 6. Let d(j) = z*o(j) + 3*n(j). List the prime factors of d(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 4*q**2 + 8 - 5 to p*q + o*q**2 + w and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 - 2*d**5 + 6*d**5 + (15*d**3 + 21*d**2 - 21*d**2)*(-5*d**2 + 2*d**2 + 4*d**2).\nAnswer: 18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, n: 1, p: 3, z: 6}. Give prob of picking 2 p and 2 g.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1600)*-2)\/(3*sqrt(8)*5 + sqrt(8)) + (sqrt(432) + sqrt(432) + 2*sqrt(432))\/(-4*sqrt(12)\/sqrt(2)).\nAnswer: -29*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1180 and -73\/220?\nAnswer: 12980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 252432 - -303?\nAnswer: 252735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2\/7*y**5 + 0 + 6\/7*y**4 + 234\/7*y**2 + 0*y + 242\/7*y**3 = 0.\nAnswer: -9, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z = 6. Let i(w) = -7*w**2 - 4*w**2 + 10*w**z. Let x(h) be the second derivative of -h**3\/6 - 3*h. Determine x(i(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 13 = -4*w. Let x(g) = -7*g**2 - 4*g + 5. Let s(m) = 2*m**2 + m. Let o(k) = 6*s(k) + x(k). What is the tens digit of o(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -99*b**4\/4 + b**3\/3 - 53*b**2\/2 - 114*b. What is the second derivative of z(y) wrt y?\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145000280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*b**5 - b**4 + 9208*b**3 + 22*b - 6914 wrt b.\nAnswer: 400*b**3 - 12*b**2 + 55248*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 15 = 0, 2*o + 3*y - 419 = -450. Put -76, 7, o in descending order.\nAnswer: 7, o, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13643 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13004011.\nAnswer: 41, 317171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 + 1.19. Let r = -12.4 + 15.4. Which is the nearest to 0.1? (a) 0.3 (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -650 - -937. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-28)\/(-15)) + (631260\/(-2025))\/(-167)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 e, and 1 x when three letters picked without replacement from gvehheehfvx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*l\/(l**(2\/7)*l))\/(l**(-2\/3)\/l**(-3)) assuming l is positive.\nAnswer: l**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 108\/8*(-24)\/(-9). Let l be ((-12)\/7)\/(p\/(-126)). Solve -4 = -l*o + 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 143*k - 3931. Calculate the remainder when 1518 is divided by f(24).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(24\/153)*-10. Let k be (408\/g)\/(2\/(-295) + 0). Suppose 0 = 4*z - 5*o - 133 - 111, 4*z - k = 3*o. Is z a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1087944 and 1248.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3. Let f be 5\/10*(1 + g). Let m(z) be the first derivative of -2*z**2 - z - 55. Calculate m(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2938912.538 rounded to the nearest 1000?\nAnswer: -2939000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 5*y**2 + 6*y - 1. Give u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*s + 2*s. Suppose -w = -s*w - 8. Let u be 5\/(-2)*1*w. Solve -h + 14 - 4 = -5*g, -10 = -u*h + 5*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/5 - 3386304*q\/5 + 10158903\/5 = 0.\nAnswer: 3, 3386301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -z - 4*n - 16, 9*z - 5*n + 170 = -7*z + 2*z - 0*n for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 337088865?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n + 8 = 0. Suppose -2*v = n*v + 24. Let f(a) = 133*a - 2. Let z be f(v). Round z to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 2. Let s be u(0). Let m = s + 2. Let q = -6 - -8. Solve -q*l = 2*l + m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6941.20658 + -6951.10657718. Let f = p + 9.9. Round f to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = -6*j - 2*j - 0*j. Let o(t) be the second derivative of 0*t**3 + j + 0*t**2 + 1\/8*t**5 - 9*t - 5\/24*t**4. Factor o(i).\nAnswer: 5*i**2*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 9 = r. Let o(a) = 6*a + 2. Let i be o(r). Suppose -k - v + 6*v + i = 0, -5*k + 78 = -3*v. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/10)*f**(-7\/6)*f)**(-28)*((f**1*f*f)**13)**(3\/5) assuming f is positive.\nAnswer: f**(463\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1050 + 5579. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -5*u + 126. Let c = u + 60. Calculate the remainder when c is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctwwwwtwwwwrtwcwt. Give prob of sequence ttc.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 14. Let x(p) = -11*p + 2. Let k(v) = -5*v + 1. Give g*k(c) - 3*x(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 172.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-44))\/((-114)\/(-209))*75\/10\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*n + 29, -x + 22 = n - 6*x. Let b(v) = 5*v - 306*v**2 - v**3 + 4 + 150*v**2 + 155*v**2. Determine b(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a century in months?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1441 - -2?\nAnswer: -1439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/52870265 or 0?\nAnswer: 2\/52870265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-60)*4 + 16\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 - (-7 + 48784\/2432). Is c at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.761 - -3.761. What is the second smallest value in 0.49, i, 1\/3?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038075 rounded to the nearest 1000?\nAnswer: -1038000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 1509*f**3 - 2*f + 200*f**3 + 1310*f**3.\nAnswer: 3019*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/16)\/((169\/13)\/13).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125\/11 + -123\/11. Solve 0 - m*f**3 - 2\/11*f**2 + 0*f = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 22, -77, -399, 3 in decreasing order.\nAnswer: 22, 3, 1, -77, -399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 10*f - 22. Let m be i(-2). Let r(z) = -404*z + 227. Is r(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -0.4. Let d = -4\/5 + 2\/15. Sort d, -5, b in ascending order.\nAnswer: -5, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 + -95. Suppose g = o - 28. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/18*(-24)\/200.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 9 = -3*o. Suppose -m - 160 = -o*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708135060.\nAnswer: 2, 5, 1091, 78283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 885117214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 125*z + 131*z + 1 + 0*z**2)*(32*z + 7*z - z).\nAnswer: -76*z**3 + 228*z**2 + 38*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -r - c, 3*r - 18 = 18*c - 15*c. Suppose r*v + 86707 = -113093. What is v rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*((-24)\/(-4) - 8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40, 119, 236, 385, 560?\n\"Answer: -o**3 + 25*o**2 + 11*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*-4*-4*(-3*sqrt(187) + sqrt(187)))\/((sqrt(11) - (-2*sqrt(44))\/sqrt(4)) + (sqrt(704) - (-2*sqrt(704) - sqrt(704)) - sqrt(704) - sqrt(704))).\nAnswer: 256*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2652 and 6630?\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-180)\/(-6825)*21.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110 + -68. What is the third derivative of 36*p + f*p - 78*p + 28*p**2 - 9*p**4 wrt p?\nAnswer: -216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/87 in 5, 22, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 - -4*(21\/6)\/7 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6 - 74*l**2 - 4*l**4 + 37*l**3 + 32*l - 2*l + 2*l + 3*l**3. Let z(d) = -d**3 - d**2 + 1. Let w(m) = u(m) + 6*z(m). Factor w(f).\nAnswer: -2*f*(f - 4)**2*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -11, 5893, -5 in descending order.\nAnswer: 5893, -5, -11, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -715, -734, -751, -766, -779?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 17*l**2 + 44*l - 27. Let o = 952 + -938. Let c be y(o). Let k be -6*1*2\/3. Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*h + 32 = 19, 3*r + 22 = 5*h. Suppose 5*g - r = z - 98, -3*z + 4*g + 269 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 6:12 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.29, -3\/4, -10, 2\/19 in increasing order.\nAnswer: -10, -3\/4, 2\/19, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 14.\nAnswer: -4, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(6)*2 - sqrt(6))*-3)\/((1*sqrt(6))\/sqrt(3)).\nAnswer: -3*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 9*a + 98 + 82 - 94, -2*u = 4*a - 27 - 17 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*v - 15*v + 105*v.\nAnswer: 152*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 6509.\nAnswer: 58581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, i: 2, g: 1, z: 1, d: 1, m: 2}. Give prob of sequence zmg.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5336086 divided by 57\nAnswer: 5336086\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33378481 take away -1.2?\nAnswer: -33378479.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - 4*y**2 - 17*y - 7. Does 7 divide b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + sqrt(468)*1 + sqrt(468) + sqrt(468))\/sqrt(12) + sqrt(156)\/sqrt(4)*5)\/((sqrt(3) - sqrt(735)\/sqrt(5))*-6)*6.\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-21 - -24) + (-3 - -1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -8*j**6\/5 + 22*j**5\/5 - 169*j**4\/36 + 22*j**3\/9 - 2*j**2\/3 + 6*j. Factor r(w).\nAnswer: -(3*w - 2)**2*(4*w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.9, -1\/4, -1\/92?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, a: 6}. What is prob of picking 2 n?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24898 - 24893. Solve 3*m + i*h = 16, -35*m - 2*h = -34*m - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1*-6.\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.83? (a) 0.3 (b) -7 (c) 1.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-3\/19)))**(-18)\/(s**(-15)*s**20*s))**(7\/8) assuming s is positive.\nAnswer: s**(-147\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.7392*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1296, -1295, -1294, -1293, -1292, -1291?\n\"Answer: r - 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 5*o)*(3*o**2 - 5*o**2 + 0*o**2) + (-3*o**2 + 2*o**2 + 0*o**2)*(1 - 1 - o) + 0*o**3 + 3*o**3 - o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -51*t**3 - t**2 - 2*t + 3. Give z(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from {x: 1, i: 4, z: 1, e: 7}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -33, -7, -3, -6, 1 in ascending order.\nAnswer: -33, -19, -7, -6, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7328*k**2. Let x(c) = 4*c. Calculate x(l(f)).\nAnswer: 29312*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 19*u - 6. Let d be c(5). Suppose -5*r + d = -1. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132149159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 202 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -277, -348, -459, -616, -825, -1092, -1423?\nAnswer: -1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 3*i - 1. Let r be z(2). Suppose -r - 1 = -o. Factor -3*f**2 + 0*f**2 + o*f**4 + 5*f**2 - 4*f**3.\nAnswer: 2*f**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2460 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -28*z + 16*z - 9 + 15*z. Let x be a(3). Suppose x = -y + 117 + 24. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7383, -18777, -30171, -41565?\n\"Answer: -11394*k + 4011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74033938?\nAnswer: 2, 11, 89, 37811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (4 - -9) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*d + 595, 3*d - 602 = -4*l + 2*l. Suppose 0*m - 2*o + d = -2*m, 5*m + 500 = -3*o. Let w = m + 145. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5*b + 868, b + 85 + 759 = 4*v. List the prime factors of v.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 f when four letters picked without replacement from cfccfccfff?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 0.0922018758.\nAnswer: 0.4922018758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 2*c**2 + c - 1 + (-c - c + 0*c)*(-151 + 164*c + 151) + 2*c**2 + 0 + 0 to h*c + p*c**2 + u and give p.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11304.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/4*140\/(-15). Suppose -15 = -5*b, -4*d = -5*b - a - 39. Suppose 7*y - 5*y = 146. Calculate the remainder when y is divided by d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*q - 210*q - 11 = -2*t, 0 = -4*t - 5*q - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286232?\nAnswer: 2, 3, 53593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/78 + (-622)\/(-300). Let b = 6\/25 - y. Let w be (-3)\/((-2)\/(-2) - 0). What is the third smallest value in w, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 23*s**2 - 32*s**2 + 16*s.\nAnswer: -9*s**2 + 16*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -25470 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/6 - (-38)\/(-12). Let q = -8 - z. Let l(a) = -7*a + 6. Let c(n) = 4*n - 3. Let y(k) = -11*c(k) - 6*l(k). Give y(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2. Let q(z) = -z**2 + z - 1. Let b = -26 - -25. Let u(v) = 6*v**2 + 3*v - 3. Let a(t) = b*u(t) + 3*q(t). Calculate j(a(d)).\nAnswer: 81*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -25, 4*r + 2*f - 5518 = -332. Suppose r = m + 4*k, -9*m - 3*k = -6*m - 3873. Is m a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308268 and 2?\nAnswer: 308268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -146, -673, -1782, -3683, -6586, -10701?\nAnswer: -16238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 8*y + 0*y**2 - 26\/3*y**3 + 2\/5*y**5 + 0*y**4 + 62. Differentiate p(b) wrt b.\nAnswer: 8*b**3 - 52*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*b - 8*b. Calculate the highest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 591 divide 618777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 6\/11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11593837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 191219 = 5*t + 300740, 0 = -t + 3*f - 98384. Let b = t - -637393. What is b rounded to the nearest ten thousand?\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1469151, 2938302, 4407453, 5876604, 7345755?\nAnswer: 8814906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/65, -2\/7, 0.4?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3360 and 588.\nAnswer: 23520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3\/15 + 1264*w**2\/15 + 8946*w = 0.\nAnswer: -497, -135, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 59*k**3 - 2*k**2 - k. Let i be x(-1). Let o = -55 + 20. Calculate the common denominator of 103\/12 and 7\/o + (-442)\/i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10141 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 16*r - 9. Let d be l(7). Suppose -p = -2*p - 4*w + 7, d*p + w - 16 = 0. Calculate the remainder when 4 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 + 126.79. Let q = y - -1.253. Let n = q + -0.0430574. What is n rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 9:40 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 2*s + 2. Let p(f) = 3*f**2 + 5*f - 5. Let x = -67 - -47. Let u = 15 + x. Determine u*h(d) - 2*p(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 60847451627 and -3?\nAnswer: 60847451630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 5*a**2 + 2*a + 5. Let k be t(-5). Suppose -3*y + 0*y = -12. Sort 2, k, y in increasing order.\nAnswer: k, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 75*z**2 - 3*z + 1. Let u be l(1). Let t = u - 95. Sort -1, t, 0, -4 in decreasing order.\nAnswer: 0, -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*j - 3*j. Suppose -363 = 2*f - j*f. What is the third derivative of 7*b**2 - f*b + 121*b + b**5 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:58 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -151 (b) 437 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 232309 (base 15) to base 14\nAnswer: 319775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + q - 8. Let a(x) be the second derivative of x**4\/12 - x**3\/2 + x. Let n be a(3). Determine i(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**(-1)*x**(1\/5)\/x*x\/(x*(x**(-6)*x)\/x)*x**(-2\/17)\/x*(x\/x**(-2\/5))**(-1\/11)\/((x**(3\/5)*x)\/(x\/(x**3*x))) assuming x is positive.\nAnswer: x**(332\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*y = 145, y = -0*m - 4*m + 279. Suppose 4*u - 4*s + 14 = 5*u, -m = -4*u - 2*s. Suppose k + 0*k = u. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36118933, 72237837, 108356739, 144475639, 180594537?\n\"Answer: -x**2 + 36118907*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -4. Is -2\/5 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o = 96*o - 26796. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 23*t - 2. Let a be h(2). Let y = -8 + a. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205179969?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -921325 + 921324.68000249. Let n = -12.8 + 13.12. Let s = n + b. Round s to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310736550 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((29*63\/(-25578))\/((-1)\/14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -29*c - 140. What is q(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -120.7 * 303\nAnswer: -36572.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1360, -2751, -4138, -5521, -6900, -8275, -9646?\nAnswer: -11013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.6 - -10.1. Which is the fourth biggest value? (a) -3 (b) g (c) -5\/3 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14624 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -121\/185074 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r + 1, 2*x + 3*r - 1 = 0. Let m = 164 - 48. Let b = m + -817\/7. Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3143040 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26156 + 26151. What is the closest to y in 17, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -120*m. Let k be ((7 - 4) + -3)\/(-1 + -1). Suppose -3*q + 5*q - 4 = k. Let v(w) = -7*w. What is q*g(c) - 35*v(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.07 - -96.07. Let n = -94.11 + x. Do -1 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 148*u - 148*u - 4*u**2 + (-u**2 + 2*u - 2*u + u - u + 4*u**2 - 3*u**2 + 3*u - 3*u + (0*u + u - 3*u)*(-u + 0 + 0))*(3 + 1 - 5) + 9*u**2 - 2 + 3 - 4.\nAnswer: 3*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 432600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -10) + 1 + 1 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(4212) + -1 + 4 + 2)**2.\nAnswer: 72*sqrt(13) + 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**5\/5 + 53*q**4 + 276*q**3\/5 - 2668*q**2\/5 + 2128*q\/5 = 0.\nAnswer: -4, 0, 1, 2, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (-12)\/(-4)) + 3. Suppose -3*k - k + 32 = 2*d, 5*k = g*d + 7. What is the greatest common divisor of 42 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3*(-5*(sqrt(280)*1 + sqrt(280)) - sqrt(280))\/sqrt(8))\/(-2*sqrt(245) + (sqrt(110)\/sqrt(2))\/sqrt(11)))**2.\nAnswer: 7623\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lul when three letters picked without replacement from luuluuuulu.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -40*c**2 + 3*c - 2. Let v = -24 - -25. Let h be g(v). Let m = 60 + h. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -33432?\nAnswer: 33423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3584831 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j - z, -j - 4*z - 4 = 2. Let b = 3.1 - 3. Put j, -3\/2, b in descending order.\nAnswer: j, b, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 13 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00049364 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 9*i - 0*i. Sort -1, i, 0.\nAnswer: -1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 3*l**2 + l - 1. Let a be i(-1). Suppose -3*t - 5*r + 156 = 0, -3*r + a*r - 180 = -3*t. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -368 - -378. Solve 3*r - f = -1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 21*y**4 + 21*y**2 - 4*y + 4. Let s(r) = 41*r**4 + 42*r**2 - 9*r + 9. Let p(o) = -4*s(o) + 9*v(o). What is the third derivative of p(b) wrt b?\nAnswer: 600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34890 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.77 + -32. Let t = o + 5.23. Which is the third smallest value? (a) t (b) 0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**8\/84 + 4*r**7\/105 + r**6\/30 + r**2 - 23*r. Factor l(i).\nAnswer: 4*i**3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -162*z**2 - 11*z**2 - z - 47*z**2 + z. Let s(a) = a**2. What is g(s(p))?\nAnswer: -220*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**4\/12 + 4*m. Let d(f) be the third derivative of f**5\/60 + f**2. Calculate d(v(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 11 = 7. Let x(v) = 6*v - 8. Let u be x(r). Solve 6 + u = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.148589km in meters?\nAnswer: 6148.589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.7 - -0.8. Let l = g - -4.4. What is the third smallest value in 1\/2, l, -19?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nppn when four letters picked without replacement from poopponppnoppopop.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 1442 - 511 = 0. Suppose 0 = 3*a - 144 - x. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 - 117. Let z be (-35)\/(-45) - a\/(-3). Which is greater: z or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -14*q - 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1559 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 7:23 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 3*w**2 + 0*w**2)*(3*w + 11*w - 5*w + (0 + 0 - 2)*(-1 - 6*w + 1)).\nAnswer: -42*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 5*x - 5. Let y(o) = 2*o**2 + 9*o + 15. Let j(b) = 3*b**2 + 17*b + 27. Let w(f) = 6*j(f) - 10*y(f). Calculate 12*q(s) + 5*w(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 102*d**2 - 89*d + 11. What is the thousands digit of a(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 51*y - 9. Let j be b(9). Suppose -73 = i - j. Suppose 0*u - 4*f + 232 = 3*u, -5*u + 3*f = -i. What is the highest common divisor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 94273\nAnswer: 94272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*q**3 + 67*q**3 - 136*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**2 + 2*a + 3. Suppose -10 = -4*l - 4*k + 2*k, 0 = 3*l + 4*k - 5. Suppose 4*d = 3*d - l. Let u(c) = 11*c**2 + 5*c + 7. Give d*u(m) + 7*z(m).\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v - 14. Let l be k(10). Calculate the highest common divisor of 5874 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 6*o + 8. Let k(w) = -2*w**2 - 12*w + 16. Let i(r) = -4*k(r) + 7*s(r). Determine i(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 7:54 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 707945.8 days?\nAnswer: 61166517120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:28 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 8. Let j(d) = -6*d - 15. Let a(p) = -4*j(p) + 7*x(p). Let b(m) = -2*m**2 + 41. What is a(b(h))?\nAnswer: -6*h**2 + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in -3\/10, -0.2, 32?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3459362 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1580)\/4455 - (-6)\/33. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 9*w + 4*w - 12*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f - 12. Let y(v) = v**2 - 5. Let p be y(-2). Let n be 0\/(p\/(4 + -3)). Let w be n\/(6\/(-3 + 0)). Give a(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*sqrt(6)\/(sqrt(6)\/sqrt(2))*5)**2 + (((sqrt(64) - 2*sqrt(64))*5 - sqrt(64))\/(-6*sqrt(32)\/sqrt(4)))**2.\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 17*g - 44. Let i be h(-16). What is the tens digit of (-132)\/3*77\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -672682, 25, 1 in descending order.\nAnswer: 25, 1, -672682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39064\/114 + 20\/15. What is the highest common divisor of g and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 837064 and 253840.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 18*r - 34. Calculate the remainder when 187 is divided by c(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*o, -5*o + 8 = -4*x + 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2928 + 14638\/5. Let w be -2 + 1 + 33\/21. Which is the biggest value? (a) w (b) p (c) -2\/17 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*y**3*z + 585*y*z**2 + 77*y*z - 39917898*z**2 with respect to y.\nAnswer: -30*y**2*z + 585*z**2 + 77*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a = -38*a - 308. Calculate the remainder when 116 is divided by (0 - a) + (-21 - -19).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a - 16. Let g(q) = -8*q + 46. Let h(t) = -4*g(t) - 11*u(t). Let k be h(-11). Suppose -z - 1 + 6 = 0. Solve 2*o - k*o = z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3 - 51. Suppose -5*z = -4*f - 20, -3*z - 2*f - 9 = 1. Suppose 5*w - 4*w - 48 = z. Calculate the highest common factor of w and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 5*u. Let x be 14\/21*(-90)\/(-20). Suppose c + u*c = x*z - 100, -40 = -z - 3*c. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33\/2 + 107\/10. Which is greater: -6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37670 = 22*a - 211040. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 16*c**2 + 15*c + 7. Let a be y(-15). Suppose a*w - 3*w = 12, 3*h - w - 450 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.951 + -0.049. What is the nearest to -0.1 in 1, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2257572*z**2 - 6286*z - 28287. Let x(i) = -3592*i**2 - 10*i - 45. Determine 5*t(c) - 3143*x(c).\nAnswer: 1796*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 40. Let i be (-6)\/v + (-2)\/6. Let j be (-1)\/4 + 6\/(-24). What is the third biggest value in i, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5120 + -4770. What is the remainder when 358 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 357.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(-1*sqrt(24)\/sqrt(2)))**2 - ((-1*sqrt(3))**2 + 0 - sqrt(3) - (sqrt(3) - (sqrt(3) + 0 + 1)**2)))*3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -21*b - 4. Let n = 115 - 114. Let f be n\/(-5) + 54\/(-30). What is the units digit of x(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 9. Let y(a) = a**2 + 6*a + 2. Is y(f) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -16*r. Suppose -17279 = -169*u + 7733. What is the remainder when u is divided by k(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*i + 101*i + 1512 = v, v = -2*i + 1506. Does 58 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:35 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 47 - 6*w**3 + 90.\nAnswer: -6*w**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/(-57) + 36\/54. Let m = r - -23\/38. Solve 0 - 1\/4*d**2 - m*d = 0 for d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 963442442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -549 + 246. Let v = o + 9395\/31. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2. Let t be 2 - 1\/5*-5. Let k(c) = t - 1090*c**2 + 1222*c**2 - 3. Give k(v(r)).\nAnswer: 528*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16996.95ns to minutes.\nAnswer: 0.0000002832825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -7*u**3\/6 + 3*u**2\/2 - 3*u + 3. Let q(f) be the first derivative of d(f). Is q(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 411 = 4*u - 311, 3*u + 5*w + 85 = 0 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -6\/5 (c) 1 (d) -5 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14)\/a*a**(-1\/16))**(2\/5) assuming a is positive.\nAnswer: a**(-241\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*v**3 - 5736*v**2 - 34524*v\/5 - 10368\/5.\nAnswer: 4*(v - 288)*(5*v + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1102713 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**5\/60 - 35*t**2\/2 - t - 142. Let d(b) be the second derivative of f(b). Let i(n) = 59*n**2 - 1. Calculate d(i(u)).\nAnswer: 3481*u**4 - 118*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14942249 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 43. Suppose q - 1 = a. Suppose -28 = 4*k - 2*z, 0 = 5*k + 2*z + 14 + 3. Sort k, q, -2, 2 in ascending order.\nAnswer: k, -2, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (5 - 3) - 2. Suppose -5*a = 20, -136 = -i*d - 2*a + 6*a. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*f**3 + 358*f - 358*f + 2311*f**3.\nAnswer: 2469*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49108.\nAnswer: 2, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) -0.76 (c) -0.062 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2597 + 2585 = 0. Which is the closest to 0.1? (a) -211 (b) -3\/5 (c) -4\/3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 15. Suppose 3*f - 80 = -2*f. Let l be 44\/f*(12 + 0). Solve x*y = -l + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 6*v. Let m be u(3). Let o = 6 - m. Is (5 + o)*46\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcocscp. Give prob of picking 2 p, 1 s, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57356626 and 6.\nAnswer: 172069878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, j: 7, w: 8, r: 1}. What is prob of sequence wwb?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02086*-112469.\nAnswer: -2346.10334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 - 15 = 7*k. Calculate the remainder when 44 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87101\/(-7574))\/((-2)\/16)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, k: 6, e: 4}. What is prob of picking 1 e and 2 s?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b - 14. Let z be f(-6). Suppose 5*r - 12 = z*y, -3*r - r = -3*y - 10. Does 3 divide r\/8*1*56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (942 - 0)*(1 - 7\/14). Suppose -8*r = -377 - q. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 9. What is the highest common divisor of t and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkwy when four letters picked without replacement from {w: 7, k: 2, y: 4, g: 3, t: 1}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(((-8778)\/(-44))\/133)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, q: 5}. What is prob of sequence qaq?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 31*c**2 + 26*c**2 - 50*c**2. Let b(v) be the third derivative of -v**4\/12 + v**2. Determine u(b(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 7*g - 5. Let h be l(-4). Let m = -41 - h. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1705)\/(-8525)*(-3)\/15*(-75)\/(-18).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**6\/360 - 2*f**5\/45 - f**4\/6 - 50*f**2 + 73*f + 1. Let p(l) be the first derivative of k(l). Factor p(t).\nAnswer: -t*(t + 2)*(t + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -24. Suppose -x*f = -2 - 10. Let k(i) = 2*i + 3 - i - f. Let h(t) = -7*t**2. Calculate h(k(s)).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5988470 (base 10) to base 16.\nAnswer: 5b6076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.167 + -17.3. Let f = 0.533 + t. Is f <= -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/10934 and -21\/923.\nAnswer: 142142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 153 + -70818?\nAnswer: -70685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4633756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112269*j**3 + 83220*j.\nAnswer: -673614*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 56, 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 1547*p**2 + 707256*p - 100939932.\nAnswer: (p - 863)*(p - 342)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21882 times -1.36\nAnswer: 29759.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -594 or -593?\nAnswer: -593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 69*r + 9. Let w be x(5). Let c = 1\/150965 - 378771192\/1056755. Let u = c + w. Calculate the common denominator of u and -47\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 212097 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -6 + (-40)\/(-4). Let m(k) = -k**3 + 4*k**2 + 14*k - 3. Give m(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 3, -1, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 6:12 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3302370 divided by 6795\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3*-4*(-3 + 1199\/396)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 196?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67256 and 448?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 269712 divided by 89904?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32989681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 5*m - 1. Let n be w(-6). Suppose 0 = -4*k + 16, 0*i - n*k = i - 22. Determine c, given that 2*c - 8 - 2*c**i + 8 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 10. Let b = 3 + v. What is the remainder when b is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrbr when four letters picked without replacement from rbrr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1908 - 1908 + 3*v**2 - 29*v**2.\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 167727 and 489.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l - 438 - 552 = 0. Which is smaller: -44 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilometer in millimeters?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94744 is divided by 11839?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkkkkmmmkqkkmkpkkmg. Give prob of sequence kk.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b + 721 - 993 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 253.33296 to 0 decimal places.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-116)\/(-8) + 4\/(-8). Suppose 21*a - 20*a - 4 = 0. Solve 0 = a*n - v - j, -2*n + v + 7 - 1 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**4\/4 - o**3\/3 - o**2\/2 + o + 175. Let t(x) = -x**3 + 12*x**2 + 14*x + 2. Let m(j) = -2*f(j) - t(j). Give m(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**3 - u**2 + 3*u - 2. Let j be v(2). Let i be (1 + 0\/(-5))*6. Let s be ((-32)\/i)\/(2\/15)*-1. What is the greatest common divisor of j and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*b + 190 + 35. Solve 0 = -5*n + 4*j + 15 - 4, 4*n - 3*j - b = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29701*y**2 - 251 + 96 + 155.\nAnswer: 29701*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 3)\/2*(-1)\/5. Let a be 0 + 8\/10 + -1. Is a smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-12)\/3)*10\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24965 is divided by 2267?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1651 - 809 - 804 + 7*a. Let c(l) = 16*l - 4. What is the least common multiple of c(3) and f(-4)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 566. Let j be h(0). Let w = -7 + 7. Suppose w*m + 2*m + j = -2*v, 5*m + 1421 = -2*v. Round m to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*m - 4*m, 0 = -5*f + 25. Let q(u) = -54*u - 118. What is the smallest common multiple of 12 and q(m)?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39442400 is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0*d**3 + 0 + 1\/12*d**4 + 0*d + 3*d**2 + 1\/60*d**5. Factor i(x).\nAnswer: x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 102 (b) 4 (c) 2\/13 (d) 580 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 61, 37.511, -0.5 in increasing order.\nAnswer: -0.5, 0, 37.511, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvgrvgdgegyvegdyv. Give prob of picking 1 v, 1 e, and 1 g.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 10:47 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 33*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -0.2, 0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 368 divided by -11\nAnswer: -368\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 24. Suppose k = 5*o - 8. Let d = 0 + o. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*r + 58, 5*j - 521*r - 88 = -519*r. Solve 41*s - 31*s + j = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/q**1)**(2\/13) assuming q is positive.\nAnswer: q**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64\/10 + 12\/(-30). Is (-29 + 12)\/((-2)\/b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4586*l + 9265 = -1111 - 4095 - 3873 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmw when three letters picked without replacement from mmmwmmmmmmmmmmmmmmmm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.99 + 0.01. Let y(v) = v**3 + 14*v**2 - 14*v + 9. Let t be y(-15). Let o be (-90)\/20*4\/t. Which is the smallest value? (a) z (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -315254770.5 and -0.11?\nAnswer: 315254770.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x**2 + 14*x + 4. Let m(q) = 4*q**2 - 7*q - 2. Calculate 5*m(u) + 2*r(u).\nAnswer: 2*u**2 - 7*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.70434 nanometers to kilometers.\nAnswer: 0.00000000007370434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j**3 + 8*j**2 - 7*j**2 - 5*j**3 - 3*j**3 - 3*j as k*j**3 + h*j + f*j**2 + s and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 15 = -8*q. Let d(t) = t**2 + t. Let z(n) = 11*n - 7*n + 0*n**2 + 2*n**2. Determine q*z(a) + 4*d(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4 = -4*s, -2*h + 13 - 1 = -s. Let m be -1*(2\/(-8) + (-355)\/h). Let f = -85 + m. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -69, -102, -117, -108, -69, 6?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032)*2)**2 + 0 + 1 - -5*((sqrt(308) + (sqrt(308) - 1*sqrt(308)))*-1)\/sqrt(11).\nAnswer: -10*sqrt(7) + 16129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4286341?\nAnswer: 71, 73, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -23*q**2 - 8*q - 24. Let n(s) = -20*s**2 - 7*s - 25. Calculate -7*n(l) + 6*y(l).\nAnswer: 2*l**2 + l + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517024675?\nAnswer: 5, 19, 47, 23159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-86)\/(-2) + (4\/(-2))\/2. Let u = -37 + y. Suppose m - u*s + 609 = 3*m, -3*s - 617 = -2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*(-1)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - 15 - (-1 + 62 + 3).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -20 and -21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 1. Let c be j(1). Suppose 7 = 4*n - o - 20, c = -2*o + 10. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -4, 0.09, -2\/13, 2113 in ascending order.\nAnswer: -4, -2\/5, -2\/13, 0.09, 2113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9091, -18166, -27223, -36256, -45259?\nAnswer: -54226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 890 a factor of 4845160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -15*c + 565. Let m be u(38). Let i(y) = -y**3 - 4*y**2 + y + 2. Calculate i(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 49692*s - 49691*s + 5*k, 0 = 4*s + 2*k + 34 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-21) - ((-6372)\/42 - 4). Let h = j + -139. Solve d = 5*d + w - 8, 3*d - 2*w - h = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/7, -2980, -3\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 12 = -y, 0 = 292420*r - 292424*r - 9*y - 137 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -369\/2 in 3, 1\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -0.5, -99, 2, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/72 and -145\/162.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10201001 (base 3) in base 10?\nAnswer: -2701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*t - 78 = -72*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*z = -72 + 297 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3870)\/36*124\/(-310)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + (107 - 36 - 6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -0.130781988165.\nAnswer: -1.130781988165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 24 + 15)*(s**3 + s**3 - s**3).\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3))\/h**(-4)*(h\/h**2)**(-44) assuming h is positive.\nAnswer: h**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**4\/6 - b**3\/6 + 4*b**2 + 62*b. Let t be a(-2). Solve 4*w = t*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -2\/11, 3, 0, -6\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.7 + 10.7. What is the nearest to i in 1\/11, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 2*l**2 + 7*l - 16. Let p be v(3). Let x(k) = 8*k**3 + 3*k**2 - 3*k. Let n(j) = 105*j**3 + 40*j**2 - 40*j. What is p*x(h) + 3*n(h)?\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 0 - 3*g + g**5 wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i - 5 - 5*i - 4. Let a(n) = 2*n - 21. Let h(p) = -6*a(p) + 14*x(p). Let f(o) = -5*o. Calculate f(h(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.452979 millilitres?\nAnswer: 0.008452979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 + 0 = -2*c, -3*y = -2*c + 4. Suppose 10 = -y*d - 2*d. Let z be (1 + 5 - 4) + -5. Which is smaller: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -20569030.\nAnswer: -20569030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 454 - 301 = 0. Suppose 5 = i, -i + 79 = -2*z + 2*i. Let d = t + z. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*1 - (126\/27 + 3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/5 (b) 474 (c) 1 (d) 4 (e) 21460\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15562, -31127, -46692, -62257?\n\"Answer: -15565*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + g)*(g + g - g + (35*g - 18*g + 30*g)*(-17 - 13 + 51)) to the form k*g**2 + h*g + j and give k.\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1074 and 5124.\nAnswer: 917196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -57*l**2. Let f(q) = -1514*q**2. Calculate t(f(y)).\nAnswer: -130655172*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 7:14 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/52)\/((-1)\/(-3))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 247 + -172. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 800.6976cm?\nAnswer: 8006976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3\/2 + 87*i**2\/2 - 120*i + 78 = 0.\nAnswer: 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4116 + 4113. Suppose 3*t - 2 - 1 = 0. What is the nearest to t in -0.1, 3\/2, k?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14578, 0, -89 in descending order.\nAnswer: 0, -89, -14578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 57 = -11*g. Let w = 19 + -23. Sort 0, w, g in descending order.\nAnswer: 0, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 8*c**3 - 9*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-1 - (-1 + 2)). Suppose y + 5 = 4, -o*g = -3*y - 35. Solve g*z - 3*z = -25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246876 is divided by 124.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - t + 5*t + 250 = 0, 0 = -t + 5. Let x = 62 - k. Let m(l) = l**3 - 9*l**2 + 8*l + 17. Calculate the remainder when 41 is divided by m(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/10530)\/(-5*3\/45)*4\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 b when four letters picked without replacement from {u: 2, m: 1, k: 6, b: 3, p: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 13 - -30 - 16\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -5.7, 0.15, 37, 1\/16 in descending order.\nAnswer: 37, 0.8, 0.15, 1\/16, -5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2956.8412 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-104)\/39)*5\/3.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157 - 162. What is the third biggest value in p, 4, 3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:32 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212816858.\nAnswer: 2, 106408429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*k - 21*k - 50*k)*(-9*k**2 - 45*k**2 + 0*k**2 + (-2*k + 3 - 3)*(-2*k - 3 + 3)).\nAnswer: 2500*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -127737*l + 127737*l - 4*l**2 - 738 - 2480 as x + v*l**2 + o*l and give x.\nAnswer: -3218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 37 = 5*q + 7, -4*q + 4*z = 0. Suppose 0 = -m + 1 + 3. Suppose 3*y = -2*r - 0 + 5, -6 = -m*y - 3*r. Solve 10 = -x + f, y*f = 4*f - q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11989 and 7572.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 298141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(5 + (0 + sqrt(192) - sqrt(192) - sqrt(192)) + sqrt(192) + -5)*5 + -2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8072 + 4?\nAnswer: -8069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -203524943, -203524949, -203524955, -203524961, -203524967?\n\"Answer: -6*j - 203524937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 9) to base 12\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -5cd?\nAnswer: -5d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/3 + -2 - -4)\/((-5418)\/40635)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 = 41. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -571*h - 70887. Give i(-124).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 96417.\nAnswer: 192834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2793 (base 16) to base 9.\nAnswer: -14806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 215 and 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 20*z**2 - 20*z + 1. Calculate the lowest common multiple of m(21) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*c + 3 - 31, 0 = m + 2*c - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.02 - 8.78. Let x = v + 4.06. Put 1\/5, x, -0.5, -2 in descending order.\nAnswer: x, 1\/5, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 5, 35 in decreasing order.\nAnswer: 35, 9, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 - 3*u**4 + 5*u**4)*(-239 - 557 + 117).\nAnswer: -1358*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 - 4.4. Let n = -788 - -1581\/2. Which is the nearest to 0? (a) n (b) j (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 7*g + 12. What is w(11)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2936179 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**2 - 11265*r = 0.\nAnswer: 0, 3755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -5*r + 96 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**7\/1008 + j**6\/720 - j**5\/20 - j**2. Let d(c) be the third derivative of m(c). Give d(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 8:32 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 10*v**2 - 57*v - 1. What is the remainder when 337 is divided by m(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61769 + -33594. What is the ten thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43154 and 12602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**11)**(-22))**(-19) assuming v is positive.\nAnswer: v**4598","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 92*j - 91.\nAnswer: -(j + 1)*(j + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c**(-8)\/c)\/c)\/c)\/(c**(-2)*c))**(1\/11)\/(c**(-1\/6)*c*c**(1\/4))**(-9\/2) assuming c is positive.\nAnswer: c**(357\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 3 = 17. Solve 0 = -4*k + 2*i + 3*i + 3, t*i = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1100011010010?\nAnswer: 1100011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 + -8.8. Let d = g + 6.9. What is d rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 213 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 8*v - 5. Let q be p(-5). Suppose 3*t + 0*j = -3*j + 198, 160 = 2*t - q*j. Does 11 divide t\/6 - 4\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 + -3.11. Let g = -3.0029 - u. What is g rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*3*1 - sqrt(209)) + sqrt(209))\/sqrt(11).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43, -89, -135?\n\"Answer: -46*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1292960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3136 or -3138?\nAnswer: -3136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 40*k**2 + 2900*k - 120625. Give p(41).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2. Let c(t) = -99894*t. Determine c(i(o)).\nAnswer: 199788*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 10*q + 176 = -27*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 27*d**2 + 58*d + 18. What is the lowest common multiple of o(29) and ((-3)\/2)\/(6\/(-88))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 103637*u + 10477538.\nAnswer: -(u - 101)*(u + 103738)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/3 + 14*o**3\/3 - 24*o**2 + 54*o - 45.\nAnswer: -(o - 5)*(o - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/78122 and 39\/2728?\nAnswer: 9687128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1016\/10 - 80\/50. Does b = 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -43*v**7\/210 + 5*v**3\/3 - 11*v**2 - 56*v. Let o(s) be the first derivative of d(s). What is the derivative of o(b) wrt b?\nAnswer: -172*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/217096 and -151\/325644?\nAnswer: 651288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -888 - -1?\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -4\/105*a**5 + 8\/21*a**4 + 0*a + 1\/630*a**6 + 0*a**2 - 18 + 5*a**3. Let c(l) be the third derivative of t(l). Factor c(z).\nAnswer: 4*(z - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*f**3 - 194*f**3 + 97*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/468*26*(-6 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639359597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-945)\/(-567))\/(-2*(-15)\/72)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42783 + 42782.99942162. Round p to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 5*h + 16. Let f be b(7). Suppose 19 = f*c - 29. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 5133.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**3 + 172*c**2 - 3*c + 359 wrt c?\nAnswer: -24*c + 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*g - 12495 = 737*g for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6015445590 a multiple of 1407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-29 + -4 - (-202 - -181)) + 85\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*r)\/r*r**(-4)*(r\/r**(2\/17))\/r**(-2) assuming r is positive.\nAnswer: r**(49\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 9*m**2 + 8*m + 3. Let t be x(8). Solve 12 = -t*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 44, -1107, -3.\nAnswer: -1107, -19, -3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3365.18 to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 247*z + 753. What is m(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 + a**3 - 6*a**3 - 20*a**2.\nAnswer: a**3 - 20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160 + 168. Put 72, 1, d in decreasing order.\nAnswer: 72, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in centuries?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + m**2 + m**3 + (-3*m + 3*m - 2*m)*(-3*m + 2*m + 5*m)*(14*m - 6*m - 5*m - 25) - m**3 + 2*m**2 - 2*m**2 to b*m**3 + x*m + o + t*m**2 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 9. Let f be x(8). Let y(u) = 8*u - 1. What is y(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 10*w**4 + 17652*w**3 - 766864*w**2 - 14168448*w = 0?\nAnswer: -9036\/5, -14, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -39*c + 33*c. Let i = -2 + 2. Suppose 11*y - c*y = i. Solve y = 3*n - 2*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1269*z + b = 1271*z + 16, -2*z + 54 = 4*b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f**2 - 24*f - 24. Let s be d(-1). Solve 3*n + 15 = -s*w + 11*w, -4*w = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23118*n**2 - 13894*n wrt n?\nAnswer: -46236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -0.3 (b) 2\/7 (c) -97 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*o + 30. Let d(k) = -k + 7. Let v be d(o). Let a(y) = v - 4*y + 5 - 2. Let q(n) = -3*n + 2. What is -2*a(f) + 3*q(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -228 - -238. Is 43\/4 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 14562\nAnswer: 5\/14562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3403303282?\nAnswer: 2, 83, 1627, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeggeee. Give prob of picking 1 e and 1 g.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7 + (-6)\/28*2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 234*m**3 + 2*m**2 - 58.\nAnswer: 1404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 28 = 6*c, -2140*k - 28 = -2144*k - 5*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 + 24*h**2\/5 + 72*h\/5.\nAnswer: 2*h*(h + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/891 and -149\/162.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 1. Let j(t) = t**3 + 6*t**2 - t - 1. Calculate j(h) - x(h).\nAnswer: h**3 + 6*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 28 - (47 + -9 + 3 + 4).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-7))\/(100\/(-350)))\/((-2)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*-657.05\nAnswer: 3285.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 20. Let o = 11 - s. Let t(n) = -n**2 + 7*n + 7. Let k be t(o). Calculate the greatest common divisor of k and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 - t**5 - 2*t**5 - 3*t**5 + 0*t**5 + 4*t**5 + (1 - 1 - t**4)*(4 - 2*t - 4) - t**4 + t**4 + t**5 - t**2 + t**2 - t**5 + 0 - 4*t**5 + 0.\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 2*v + 6 - 16, -3*v + 3*w - 21 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4218699, 4218690, 4218667, 4218624, 4218555?\nAnswer: 4218454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/23284 and 79\/168.\nAnswer: 977928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppps.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-1))\/(-9))\/((-148)\/(-4884))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -2, 58, 190, 418, 766, 1258?\nAnswer: 1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -7) + -30 + 2. Let g be (-393)\/(-4) + 6\/y. Let f = 155 - g. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -1 - 1\/3*w**2 + 4\/3*w = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -44*d + 54. What are the prime factors of p(-9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((240\/9)\/(-8))\/(635\/(-254))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 871 - 22?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196\/909 + 2\/303. Let c = -0.5 - -0.7. Let b = 4\/13 - -5\/26. Put b, c, d in descending order.\nAnswer: b, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(-22 + 27 - 20)*(-2 + 4 - 8)*(24 - 52 + 25 - 11*r)*(4*r**2 + 0*r**2 - 2*r**2) to the form n*r + y*r**2 + a*r**3 + c and give y.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 269*t + 8455. Determine a(-50).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -3989, -9, 63 in ascending order.\nAnswer: -3989, -9, -1, 7, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*m - 75*m + 35 = 0. Let q(b) = 178*b + 129. What is the tens digit of q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**2\/2 - 1. Let t(h) = 3 - 3 + 2*h**2. What is t(x(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -90, -91, -92, -93?\n\"Answer: -s - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(175) + sqrt(175).\nAnswer: -4 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 254 to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a tonne in kilograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 8 (b) -3\/7 (c) 3\/14 (d) 1\/4 (e) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1579\/7845 + 46001209\/2698680. Let u be (6\/(-516))\/(-5 - -1). Let w = k + u. What is the common denominator of w and 43\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 350 (b) -5\/2 (c) -6\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 179.55887 to 1 dp.\nAnswer: 179.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(1*-24))\/((-2)\/8)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbtbbtbstbbbbsbbbb. What is prob of sequence stbs?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -390 - -389. Suppose -4*n - b + 2 = -1, -b + 3 = 3*n. Is z != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**5\/7 + 84654*k**4\/7 - 597276291*k**3\/7 + 1194298632*k**2\/7 - 597106992*k\/7 = 0.\nAnswer: 0, 1, 14108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + a - 1. Let n(b) = 6*b**3 + b**2 - 5*b + 11. Suppose 0 = -4*g - 2*p - 2*p - 12, 4*g = 2*p + 12. Let q(t) = g*n(t) + 5*y(t). What is q(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, r: 8, h: 3}. What is prob of sequence hrh?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 10 - 12)*(-4*w**3 + 4*w**3 + w**4) + (-3*w**4 - 12*w**4 + 0*w**4)*(3 - 2 - 2) to a*w**3 + g*w**4 + j*w**2 + p*w + b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3476.11 - 3476. Which is the second biggest value? (a) 5 (b) -0.5 (c) 0.3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = -88 + 28 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 13 + 3 = 0. Let l(a) = a**3 - 12*a**2 + a + 12. Let o be l(12). Let j(m) = -46*m**2 + o*m**u + 24*m**2. Let s(t) = 3*t + 2. Determine j(s(v)).\nAnswer: 18*v**2 + 24*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 17191230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 20. Let l be g(-9). Solve 2*d + 16 = -4*i - d, 2*i = l*d + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78636436 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -111020122112 (base 3) in base 4?\nAnswer: -333221312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 275068?\nAnswer: 4676156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.618502ml to litres.\nAnswer: 0.001618502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32.464 + -437601.\nAnswer: -437568.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 + 67. Let b(j) = -8*j**3 + 8*j**2. Let a(f) be the third derivative of -f**6\/120 + f**5\/60 + 4*f**2. Calculate o*b(u) - 6*a(u).\nAnswer: -2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12364055 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147908665?\nAnswer: 5, 661, 44753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 = -0*h + 4*x, 2 = 3*h - 5*x. Suppose 2*v - 4 = 0, 5*s = -v + h*v - 786. Let l = 2016 + s. Round l to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695609614.\nAnswer: 2, 7, 49686401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 19*a - 20. Let p be c(21). Suppose h = -4*o - 11, 5*h - 3*o - p = 3*h. Calculate the common denominator of -25\/6 and -18*(-334)\/1120 - h.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -k + 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 54 = 11*a. Solve 0 = -4*p - 3*z, -5*p - 8*z + a*z - 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11)\/i*i\/i**4*i)\/((i**0\/i)\/i)**(-2\/5) assuming i is positive.\nAnswer: i**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -90*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5466.2615 at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**3 + 13*f**2 - 13*f**2)*(-5 - 112*f + 5).\nAnswer: 448*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.846 + -0.154. Let b be 3*1*2\/(-7). Sort q, -0.2, b.\nAnswer: q, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -939*o**4*x + 2*o**4 + 262*o**3*x + o**3 - o**2*x - 711440*o*x wrt o.\nAnswer: -22536*o*x + 48*o + 1572*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 26 = 2*f, -251*k + 252*k + 4*f - 37 = 0. Let b be ((-2 - -2) + -2)\/(-1). Let r be b\/(-3)*9\/(-3). Solve 0 = -k*p + r*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(96) - (1*sqrt(96) - sqrt(96) - sqrt(96)))*5 - (sqrt(38) + sqrt(304)\/(sqrt(8)*-2) + sqrt(38))\/(sqrt(2) + sqrt(12)\/(sqrt(6)*2)).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.23 - -15. Let r = y + 0.03. Let v = 63 - 65. Which is the closest to r? (a) 0.2 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3556 = h - 2*q, 5*q + 7106 = -143*h + 145*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + a**2 + 2*a. Let t(l) = -l**3 - l**2 - 4*l + 1. Let p(k) = -t(k) - 2*y(k). Let h(z) = -12*z**3 - 6*z**2 - 5. Determine h(r) - 5*p(r).\nAnswer: -7*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 215 - 221. Which is the nearest to -0.1? (a) r (b) 2\/9 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 7, s: 5}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 60\/6045823?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u - 44*u + 68 = 0. Which is greater: 51\/16 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161211?\nAnswer: 3, 17, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11290364*u*z**4 + 4*u*z**3 - 62*u + 79767 wrt z?\nAnswer: -45161456*u*z**3 + 12*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111125 (base 10) to base 4.\nAnswer: -123020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -4, 14.7, -4\/3 in ascending order.\nAnswer: -4, -4\/3, 0.06, 14.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2 - 110833*x + 221662 = 0.\nAnswer: 2, 110831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/125565 and 64\/27.\nAnswer: 1130085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - f + 27 = -3*f, -3*f + 52 = d. Let n = d - 5. Suppose 4 + n = 9*p. Solve l = -5*s - 10, -2*l - p*s + 0 = 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify j**14\/j**(8\/5)*(j*j*j**(-1\/33))\/(j**(-1)*j) assuming j is positive.\nAnswer: j**(2371\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 281430 divided by 93810\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 1\/1080*s**6 - 1\/180*s**5 + 16\/3*s**3 + 8 + 1\/72*s**4 + 0*s**2 + 0*s. Let b(o) be the third derivative of q(o). Factor b(j).\nAnswer: (j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 938910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by (5\/(30\/(-4)))\/((-2)\/72).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.44 + 3. Let k = -0.33 - l. Let f = 1.998 - -0.002. Which is bigger: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113213285 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -407, 2.97, 0, -0.4.\nAnswer: -407, -0.4, 0, 2.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 45 = -2*c. Let a(p) = -p - 5. Let i = -9 + 13. Let q be a(i). Is q not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*j + 120624 = -646409. Calculate the remainder when j is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -164 + 904. Let h = 1 + r. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {r: 4, q: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435306.4 months in centuries?\nAnswer: 2029.422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113031 - -3?\nAnswer: -113022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 941397.7 grams to micrograms.\nAnswer: 941397700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*c + z, -4*c + 5*z = 3*z - 116. Suppose 11*y - c = -18. Is y at most as big as -2\/2605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2412 by 6.\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 20. Let w be ((-7)\/2 - -3)\/((-2)\/(-20)). Let n(m) = -m**3 - 4*m**2 + 5*m + 7. Let z be n(w). Do f and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 - 5)\/2*-52 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -42.022. Let y = 1.022 + s. What is the nearest to -4 in y, -3\/2, 0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 16. Let x = -32 + 222\/7. Which is the third smallest value? (a) 0.4 (b) y (c) -0.5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 357 and 118?\nAnswer: 42126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 1. Suppose d*u = 3*u + 9. Differentiate -i**3 + 4 - 7*i**u + 5 wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2*n = -8, 3*n = 4*k - 2*n + 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2291*d - 2*d**3 + 2291*d + 5*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 386473292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/6834 and -25\/2448.\nAnswer: 164016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 - 2. Let h = -0.0669 + -0.1331. What is the nearest to h in d, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.72878132 to two decimal places.\nAnswer: -3.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.69 + -9.09. Let v = -23\/30 - -4\/15. Which is the third smallest value? (a) v (b) -10 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 7 + 5)*(-2 + 1 + 2)*(-501*f + f**2 + 501*f) - f**2 + 6*f**2 + 2*f**2 as w*f**2 + x + c*f and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.8 + 11.8. Let d(l) = -l**3 - 7*l**2 + 7*l - 3. Let h be d(-8). What is the biggest value in h, 1\/9, r, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 - ((-1 - -3) + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6362522 - -5?\nAnswer: -6362514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2136690.\nAnswer: 1\/2136690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**7\/630 - t**6\/360 + t**2 - 2. Let z(v) be the second derivative of l(v). Suppose z(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = o - 43, 2*o + 24 = -2*w + 46. What is the least common multiple of 30 and w?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 22 = -8. Solve -1 - 5 = -x - 4*k, 4*k - m = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j + 55. Let z be c(20). What is the remainder when 90 is divided by 28 - z*3*(-2)\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701617 - -0.16?\nAnswer: 701617.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * -16015.\nAnswer: -3363.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 2. Let y be u(-1). Let h(l) = 11*l + 2. Does 3 divide h(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/3 + 10*f**4\/3 + 32*f**3\/3 + 32*f**2\/3.\nAnswer: f**2*(f + 2)*(f + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.7 minus -97764?\nAnswer: 97756.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 7 - 195 - 86 = 0 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4722889 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26851009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 7*u + 11. Let w be v(9). Let c(d) = 3*d + 22. Let z be c(w). Solve -a - z = -3*a - 3*i, -1 = a + 3*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0*y)**(5\/4)*((y\/y**(1\/3))\/y)\/(y*y\/(y*y**(-4\/7))))**34 assuming y is positive.\nAnswer: y**(425\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7329 and 229593.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 9342 = -15*f. Let b be 0 + 1*(4 - -1). Suppose -3*x - x = 5*z - f, -4*x + b*z = -4721. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u**2. Let w(b) = -105*b**2. Give s(w(z)).\nAnswer: -88200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g + 90*g - 18*g = 1998 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 6934?\nAnswer: 6938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 221000 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a factor of 891294950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmwa when four letters picked without replacement from mmnmnwwagwwfamg.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (-8 + (-1 - (-14 - 5)) - -4).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 + 3*o**2 - 3*o**2 - o**3 - 4*o**2 - 5 - 8*o. Let h be m(-7). Suppose -4*g - 4 = 0, 2*g + 20 = -n + h*n. 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 -u + 3*u = 6. What is the second derivative of 3*t**u + 6*t**4 + 8*t + 3*t**3 - 6*t**3 wrt t?\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172*f**4 - 6*f + 24 wrt f.\nAnswer: 2064*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7376 + 24853. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 1. Let o(c) = c + 9. Let v(r) = 5*m(r) + o(r). Does 8 divide v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = k - 11174, 55880 = 5*k + 172*f - 167*f. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 8 = -4*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/413 and 103\/56.\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 11*p. Suppose p = -5*o + 5*j + 255, -4*o + 2*j + 205 = -j. Is o a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.8 + 33. Let o = 3.755 + u. Round o to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 s when three letters picked without replacement from {k: 1, s: 2, v: 1, y: 2, p: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -9585720.\nAnswer: -1\/3195240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/25 of a tonne?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 716704 to the power of 1\/2, to the nearest integer?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2. Let k(u) be the first derivative of -13*u**2\/2 - 5. Calculate k(y(g)).\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**2 - 17621*g + 35248. Calculate o(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310*a - 952 = 1174*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-2)\/2 + 483552\/(-38544).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2695470, -5390917, -8086344, -10781751, -13477138, -16172505?\n\"Answer: 10*g**2 - 2695477*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*u - 364*u + 2311 = -1349 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -24*w**2 - 1 - w**3 - 7 - 23*w + 27. What is the tens digit of b(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 2 - (-70)\/14. Solve 2*n - 3*c = 0, 3*n + 3*c - z = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*n - 1174 - 513 = -436 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47462 is divided by 505.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1008) + (1*sqrt(1008) - sqrt(1008)) - sqrt(1008)) + sqrt(1008) + sqrt(1008) - sqrt(1008)) + sqrt(1008))*-5)**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 276 + -404. Let d = n - -129. Is d at most as big as -157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Let m be (-504)\/(40\/5) + 3. Let s be -63 - m - (-4)\/1. Solve 0*q + q - 2*f - s = 0, q - x*f = -1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -734*i**5 - i**4 - 720*i**2?\nAnswer: -44040*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + (13 - 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 r, and 1 i when four letters picked without replacement from {u: 4, r: 3, i: 5}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 540778 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -400*i**5 + 1608*i wrt i?\nAnswer: -8000*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483039286.\nAnswer: 2, 41, 1907, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*l**3 + 39*g**3 - g**2*l**3 + g*l**3 + 25*l**3 wrt g.\nAnswer: 6*l**3 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udu when three letters picked without replacement from udu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -4. Let q(i) = 18*i**2 - 61*i - 3. Let c(m) = -7*m**2 + 23*m + 2. Let t(g) = 5*c(g) + 2*q(g). Let f be t(x). Which is bigger: -16\/17 or f?\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, 1, -3, -9, -17, -27, -39?\n\"Answer: -v**2 + v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 + 4*b**3 - 3*b**2 - 10*b + 8 = 0 for b.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25193338.\nAnswer: 2, 53, 237673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 169024433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -206*d**3 + 2*d**2 + 4*d + 3. What is the hundreds digit of j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.14, -9, 0.031, 4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/17)*n**(-1)*n**(15\/7)\/n**4)**(-37) assuming n is positive.\nAnswer: n**(14134\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + 3.1. Let w = -272 + 1089\/4. What is the nearest to -1 in b, -2\/7, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/11 - 15162*f**3\/11 + 763100*f**2\/11 = 0. Calculate f.\nAnswer: -7631, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -29577*j + 266203. Determine a(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -719 in 0.4, 0.2, -5, 0, -19, -2\/23?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156 - 144. Find the common denominator of ((-167)\/18)\/(n\/(-8)) - 4 and 24\/(-9)*(-19)\/(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148956875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10087175.\nAnswer: 5, 7, 57641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3343 times -13062\nAnswer: -4366.6266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1383.573 + -6.827. What is l rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x - 5. Let g be j(6). Let f = 41 - g. What is the least common multiple of (3 - 54\/10)*(-14)\/((-448)\/(-80)) and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 + -11)*(-5)\/(-10). What are the prime factors of (-36)\/j*655\/20 + -4?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**39 assuming j is positive.\nAnswer: j**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11700793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 607*k + 36. Let f be i(2). Suppose -28*u = -23*u - f. Is 25 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119) + (sqrt(119) - (sqrt(119) - sqrt(119)*-1)))*5 - -2*sqrt(119)*3)\/(-2*(sqrt(7) - (sqrt(343) - sqrt(343)*2))).\nAnswer: -7*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*x + 861 - 502 = -928. Suppose -h = -0*h - 4. Solve -v = -h, n = v - x + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -10*j**3 + 6*j**3 + 0*j**3. Let s(g) = 2*g**3. Give -5*s(w) - 2*u(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 278783*u**2 + 129976 wrt u?\nAnswer: 557566*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k**3 - 38*k**2 + 4*k + 14. What is s(6)?\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/4*12\/9. Suppose b*w + 21 = 6*w. Solve -w = 4*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15*p + 94. Let m be u(-6). Suppose 132 = q + m*a - 10, -2*q + a + 329 = 0. Does 27 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 12*b - 19. Let n be p(2). Let y be (1 - 0 - 7) + 2. Is ((-1419)\/12)\/(n\/y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14575 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 437 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*p. Solve 2*w + 26 = 6*w + p*u, 16 = -w + 4*u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + 1182822.9\nAnswer: 1182855.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1309*j + 1313*j + 12 = k, -4*k + 6 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 237\/2 + -123. Suppose 16 = 2*g - 3*g. Find the common denominator of 1 - (-2 - (-130)\/g) and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {q: 3, z: 10, x: 1, a: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.353 - 0.531. Round m to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-366)\/72 - (-12)\/9 - -4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*r - 133960*a + 120*r - 5833 with respect to a.\nAnswer: -r - 133960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 4. Let f = -1915.2 + 1699. Let z = 216 + f. Put z, -7, v in descending order.\nAnswer: z, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 330*z + 7883. Determine i(-23).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7314619 is divided by 281331?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 136317347659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p + 3 + 4 + 2*p**2 - p**2. Let w(d) = d**3 + 8*d**2 - 7. Let m be w(-8). Is f(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*a - 6 - 82, -4*y + 88 = -5*a. What is the lowest common multiple of y and (10\/(-6))\/(1 - (-14)\/(-12))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1312463.416 to the nearest 100.\nAnswer: 1312500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**5\/10 + 11*n**4\/6 + 32*n**3\/3 + 28*n**2 + 65*n + 55. Let t(z) be the first derivative of f(z). Factor t(j).\nAnswer: 2*(j + 2)**2*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0543087007 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a. Is a smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/19? (a) -1 (b) 28 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l - l)*(4*l - 3*l + 0*l) + (2*l**2 - l**2 + l**2)*(-650 + 2794 + 1482).\nAnswer: 7249*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -1) + (7 - (21 + 1)) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**2 - 288*s - 5040 = 0.\nAnswer: -42, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*p - 2*p. Let x be (-2 - (p + 2)) + -2. Let w be 272\/8 + 0\/x. Calculate the greatest common factor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4093468?\nAnswer: 2, 1023367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3.81 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69358 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 - 9 - 17)*(-2*h + 4*h + 2*h) as u*h + o and give u.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*r = -17 + 6, 5*v = 4*r + 112. What is the remainder when 34 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19.5 or 1?\nAnswer: 19.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gii when three letters picked without replacement from giig.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 87 = 81. Let k(z) = -z + 3. Let y be k(3). Solve y*c + l = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 - 8*k**3 + 480*k**2 - 2432*k + 3584.\nAnswer: -4*(k - 4)**3*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -130\/383?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*i = 349, -4*n + 3*i - 2*i + 1396 = 0. What is the remainder when n is divided by 89?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 73*o - 1485. Determine h(20).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21669 is divided by 7220?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 6*m**2 + 7*m + 10. Let a = -5 + 12. Let w be o(a). Solve 8*n - 3*n = w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28203919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 145*w + 1997. Is n(61) a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 9*d**2 + 8*d - 5. Let g(l) = 5*l - 1. Let j be g(2). Let u be h(j). Suppose -u = -5*b + 68. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 32*t - 47. Let s be n(6). Suppose 8*m - 3*m = 5*i + s, -3*m + i + 89 = 0. What is the highest common factor of m and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 628257? (a) -6 (b) 2\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4 = -5*o, 30274 = -4*o - 3*t + 30266 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(396) - -3*(sqrt(396) - (1 + sqrt(396) + sqrt(396))) - sqrt(396))**2 - ((1*sqrt(396))**2 + 0))*-1.\nAnswer: -12708 - 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 62738602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4 = -16. Suppose 5*x = r*x. Solve x = -s - 1 - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 = 0, 5*q = -4*f + 8*f - 12. Let v be 14\/(-10) + -1 + 3. Is q at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60.55 - -1.45. Let r = -62.3 + g. Which is the closest to -0.34? (a) r (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56228 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y + 3. Let h(o) = 17*o - 5. Suppose a - 4*a = -15. Let s(b) = a*n(b) + 3*h(b). Let p(k) = -4*k**2. Give p(s(m)).\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 4*k**2 - k - 10. Let v be 24\/16 + (-2 - (-27)\/(-6)). Give p(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 28 + (-5 - (-1 + 20)) - 32?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 + 12*w**4 + 12*w**3 - 66*w**2 - 9*w + 54 = 0. Calculate w.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 34*w**2 + 2*w - 52. Let m be y(34). Calculate the highest common factor of 52 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-112)\/40)*112\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 791468.6 centimeters?\nAnswer: 7914686000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*i - 5 = -3*q, -2*q = 4*i - 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10230524364 + -0.1\nAnswer: 10230524363.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3120321 (base 4) to base 7\nAnswer: -55320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4397 + -a069?\nAnswer: -12444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/11))**41\/((h**(-1\/2)\/h)\/h)**(-4\/15) assuming h is positive.\nAnswer: h**(224\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.96 + -4. Let d = -0.24 - x. Let a = d - 0.8. Is -2\/5 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20088 is divided by 203?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 5. Let k be b(0). Suppose o - 362 = 2*u, -k*o + 2*u + 1210 + 624 = 0. Suppose -5*h + o = -1167. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m + 14705 = 14525 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 1401*x**2 + 11111*x - 45969.\nAnswer: (x - 3)*(x + 11)*(x + 1393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llcc. What is prob of picking 2 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.22 + -21.42. Let m = a + 99.2. Let b = 75 - m. What is the fourth biggest value in -0.5, b, 4, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -358 - -366. Suppose 200 = 17*j + r*j. Let g = 1 - 0.9. What is the fourth smallest value in g, -5, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/((-14)\/(-4)) - 40508\/(-364) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1553 - 110265\/71. Let a(h) = -10*h**2 + h**2 + 6 + h**2 + 3 - h**3 + 10*h. Let x be a(-9). Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 314102 (base 5) to base 3\nAnswer: 112102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323002 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: Which is the nearest to 1? (a) 1\/9 (b) 0 (c) 7 (d) -0.0448 (e) 60 (f) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*u = 2171 - 1337 + 2570 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (64*c**2 + 140*c**2 - 50*c**2)*(18*c - 1 + 17*c - 4*c) in the form m*c**2 + u*c + j + b*c**3 and give m.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Suppose -2*h - 1 = -3*j - 3*h, -5*j = -4*h - 30. Let t(n) be the first derivative of 2*n**j + 7*n**2 - 2 - 3*n**2. Give t(y(g)).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4572563*f**5 + 4*f + 249132 wrt f?\nAnswer: -91451260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**4 + 200*q**3 - 1692*q**2 + 3736*q - 2240 = 0.\nAnswer: 1, 2, 7, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5. Let p = f + -0.2. Let r(t) = t**3 + 9*t**2 + 9*t + 8. Let u be r(-8). Put u, p, -1 in increasing order.\nAnswer: -1, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*c - 179 - 52*c + 66*c**3 - 63*c**3.\nAnswer: 3*c**3 - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/6 + 1)\/((-164)\/(-1353)). Suppose g + g = 198. What is the greatest common factor of g and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12 - 10\/(-4)*-2. Let p = -10 + 22. Let f = p - l. Sort -2, f, -3 in ascending order.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/((sqrt(484) - (sqrt(484) + sqrt(484)*-4 + sqrt(484))) + sqrt(484)))\/((sqrt(144)\/(sqrt(12)*-4))\/sqrt(4)) + 1)**2.\nAnswer: -2*sqrt(3)\/11 + 124\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 206 - ((-28)\/(-16) + (-1)\/(-4)). Let i = 201 - q. Which is bigger: -14 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 4503493*h**2 + 4503493*h**2 - 3*h + h**3 + 5*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12401910 divided by -915.\nAnswer: -13554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.284 or 0.47999?\nAnswer: 0.47999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -94*m + 61. Let x(d) = 187*d - 121. Let c(p) = -7*q(p) - 3*x(p). Is c(25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*((-110)\/2)\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34228212.\nAnswer: 2, 3, 2852351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-4)*160\/(-15). Let u be (-42)\/(-5)*10\/(-3). Let l = g + u. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205696 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 24908?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 + 53 - 3*z**3 + 23 + z + 6*z**4 - 4*z**2 in the form s*z**3 + j*z**2 + x*z**4 + u*z + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2513 and 263147?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 22?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -113 - -712518?\nAnswer: 712405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*s + 14*s + 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*j**4 - 16250*j**2 + 720379 wrt j.\nAnswer: -36*j**3 - 32500*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j + 44. Let h(y) = 2*y + 22. What is -13*h(l) + 6*q(l)?\nAnswer: -2*l - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -13. Suppose -130 = -4*w - w. Let p = w + j. Solve -3*h + p = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009821361 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, 112, 626, 1588, 3148, 5456, 8662?\nAnswer: 12916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1451 - -0.9549. What is the nearest to -2\/3 in r, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -268.3 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -320*y + 2*y**3 + 320*y - 3 - 3*y**4 in the form f*y**3 + l*y**2 + d*y + c*y**4 + r and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-18))\/(112\/224).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 10:03 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/2*19\/38. Suppose -i + 5 - 3 = r. Suppose -11 = -4*j + 1. Solve -j*z + i*z + 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12101221 + 112122?\nAnswer: -11212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/14)\/((-3)\/21). Let w = s - -22. Solve -4*x = -0*x + w*k - 8, x + 4*k - 5 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4191251 to the nearest integer?\nAnswer: 2047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -596.1 - -563. Let k = -32.9 - r. Suppose -1 = 4*n - 37. Which is the second biggest value? (a) 3 (b) n (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. What is the nearest to 3\/5 in -0.4, -5, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*p - 10, 5*p + 40 = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*m - 5, -2*i + 2 = 2*m + 2*i. Let o(n) = -10*n. Calculate o(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 660.5 to the nearest 10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -52, -27, 36, 137, 276, 453?\n\"Answer: 19*b**2 - 32*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2559 + 2554. Which is the nearest to -0.03? (a) 3\/7 (b) 0.07 (c) 3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from {m: 1, p: 1, c: 6, w: 2, g: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (3 - -3) + -19 + 14 + -88.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*g + 5*g + 8*g)*(1 - 6 - 3).\nAnswer: 496*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2624.3 - -2625. Let q = -0.2 + 0.1. Sort 1, q, j in increasing order.\nAnswer: q, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -4*g - 35 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-165)\/385 - (1 - (-2 - 281\/(-84))). Which is the second smallest value? (a) v (b) 96 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28179 = -12*j + 132783. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((117\/27)\/13)\/(9\/54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z. Let a(m) be the first derivative of m**6\/180 + m**3\/3 - 1. Let g(f) be the third derivative of a(f). Calculate l(g(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glgi when four letters picked without replacement from {q: 5, l: 2, i: 2, g: 4}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**3 + 5*r**2 + 3*r + 9. Is o(5) a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 123?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80442 + -46754. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*6.77.\nAnswer: -4.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95b82 (base 12) to base 13.\nAnswer: 6b849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868522483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2 = 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*m + 3*m - 6*m - 3 + 3 + m + (-3 + 2 + 0)*(4*m - m - 2*m) - 1 + 1 + 2*m)*(3*m**2 - 3*m**2 + 5*m**3).\nAnswer: -195*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2106)\/1404*(-8)\/(-3)*4\/160?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 57*d**2 - 57*d + 230. Determine f(56).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f - 42 = 0. Calculate the highest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 5, -18, 1, -411 in ascending order.\nAnswer: -411, -18, -15, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.030386 - 0.\nAnswer: -0.030386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 457*s**4\/4 + 424*s - 59. Let v(q) = -152*q**3 - 141. Let b(a) = -2*n(a) - 7*v(a). Differentiate b(i) wrt i.\nAnswer: 450*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r\/(r**(3\/13)*r)*r)*r\/(r*r**(-15)*r) assuming r is positive.\nAnswer: r**(198\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60686152?\nAnswer: 2, 19, 157, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.12996 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8633893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = -2*h. Find the common denominator of 41\/9 and h\/(-10) + 1492\/(-80).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 31.63. Let t = x - 0.07. What is the closest to 0.2 in t, 1\/3, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*h - 14555025, -7*b - 9104348 = 5*h - 110989323. What is b rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 5*o - 154 = -4*q, -o + 47 = -4*q. Calculate the remainder when 202 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 60.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 178172834?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + (-3)\/2)*-6. Let k(t) be the first derivative of -t**2\/2 - 4. Let x(b) = 7*b + 7. Let q(l) = -6*k(l) - x(l). Calculate q(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j. Suppose 0 = v - 5*q - 15, -4*v + j*q - q = -18. Suppose k + 335 = v*o - 3*k, 4*o + 5*k = 227. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1845 is divided by (-1)\/((-11)\/(605\/(-15)))*-18.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 40*d**2 + 26*d + 6. Let n(j) = 14*j**2 + 9*j + 2. Let z(m) = 11*n(m) - 4*s(m). Let i(k) = 11*k**2 + 9*k + 3. Determine 4*i(g) + 7*z(g).\nAnswer: 2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88293 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 635 + 635 - 1270 - 979*u**2 - 2965*u**5 - 3673*u**5 wrt u?\nAnswer: -398280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5958 and 79272?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - 0.3. Let i = 32.9 + -34.9. Which is the third smallest value? (a) -0.1 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2214, 0.0541?\nAnswer: 2214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2544 = -6*s - 558. What are the prime factors of s?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7.3, 1, -4?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60470182 at least 60470183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*6*(sqrt(1900) + 2) - (-5*(sqrt(1900) + 1) + (sqrt(1900)*2 + sqrt(1900))*1))**2 + -4.\nAnswer: -1866209 - 40600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -3*j**2 + 0 + 13\/4*j**3 + 7\/16*j**4 - 4*j. Solve y(h) = 0.\nAnswer: -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1596255, 1596247, 1596239, 1596231, 1596223?\nAnswer: 1596215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6086, -6087, -6088, -6089?\n\"Answer: -p - 6085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(7\/4)*t**3\/t)\/(t\/(t\/t**(2\/3)))**(-2\/5) assuming t is positive.\nAnswer: t**(91\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 25. Let c be (f - 492\/(-460))*-1. Let b = c - 3\/23. What is the nearest to 0 in -0.3, -4\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/9)\/(z\/(z*((z\/(z*z**(-8\/5)*z))\/z)\/z)))\/((z\/(z**(2\/23)\/z))\/z**(-4\/11)))**42)**(-2\/27) assuming z is positive.\nAnswer: z**(1242892\/102465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 13 + 2, -86 = h + 3*s. Let l = h - -77. Solve l = q + 4 - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 0.3. Let m = p - 0. Let q = 1 - 2. Which is the nearest to q? (a) m (b) -1\/6 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 129 + 180 + 2*b**2 - 127 + 39 in the form v*b**2 + n*b + a and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*o - 19, -o = -5*c + 3*o. Suppose c*m = 3*s + 9, 3*s = 2*m - 18 + 3. Let t(w) = w**3 + 5*w**2 - 15*w + 2. Let x be t(s). Solve 4*q - x = 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229\/768 - -9\/256. Which is the second smallest value? (a) 0.3 (b) y (c) 2\/5 (d) -11\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1799*y**2 - 2487 + 4990 - 2503.\nAnswer: -1799*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 809072 and 1507.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 298*k - 1495. Let b be m(5). Solve 10*j + b = 5*j - 5*l, -j + l = 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4136 = -11*b + 3*b. Let m = b - 438. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1561592 and 127368?\nAnswer: 857314008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16956187 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l - 38. Let t(i) = -2*i - 13. What is 6*f(r) - 17*t(r)?\nAnswer: 4*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from rlarstttatarrl?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -22*y + 1. Determine n(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**3 + 11*r**2 + 11*r - 14. Let w(g) = -g**3 - 2*g**2 - 2*g + 2. Determine -s(i) - 6*w(i).\nAnswer: 14*i**3 + i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 688*p - 342*p + p**2 + 1739*p.\nAnswer: p**2 + 2085*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 - (4 + -2)) - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 0, -256, -39, 6\/13 in ascending order.\nAnswer: -256, -39, 0, 0.06, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y - 520 = 0. Suppose -6*n = -2*n - y. Suppose -n = -2*d + z + 4*z, 63 = 3*d + 4*z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817599473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 78*g + 65*g + 71*g - 213*g. Let h(z) = -1109*z**2. What is t(h(b))?\nAnswer: -1109*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -97560*b. Let d(u) = -2*u - 383. Determine l(d(m)).\nAnswer: 195120*m + 37365480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - u**2 + u + 1. Let w be (3 + -3)\/(2\/(-2)). Let h be t(w). Suppose 5*l - h = 64. What is the greatest common divisor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9537.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*l = 10, -1 = -4*f - 3*l - 5. Let d = 10 - 48\/5. Let y = 0.35 - 0.05. Which is the nearest to f? (a) d (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410333041 (base 5) to base 2.\nAnswer: -110010011011000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fid when three letters picked without replacement from {d: 1, f: 2, i: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24148779*u - 89259584 wrt u?\nAnswer: 24148779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4 - 276*a**3 - 1570*a**2 + 1848*a = 0 for a.\nAnswer: -132, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 228?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 917917119 to the power of 1\/2, to the nearest integer?\nAnswer: 30297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 13) to base 16\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -2953\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1093020*n - 67786.\nAnswer: 1093020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 10.445134\nAnswer: 6.2670804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + 2 + -103 + 40 + 1 + -2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4 + -1.4. Is -0.1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371370 is divided by 120.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 106 + 117 = 233 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 9*o + 10. Let h be x(-4). Solve -55*p + 42*p - h = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 337, 507, 679, 853, 1029?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 - -40. Let z = -71 - v. Solve 8 = -3*a + z*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 690746, 690754, 690776, 690818, 690886, 690986, 691124, 691306?\nAnswer: 691538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 10564?\nAnswer: 73948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25682, 25493, 25306, 25121?\n\"Answer: l**2 - 192*l + 25873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Suppose -r*i = i - 40. Calculate the lowest common multiple of i and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*h + 2*c + 17, 1 = -h + 2*c. Let v(t) = 18*t**3 - 5*t**2 - 5*t - 5. Let i(u) = -9*u**3 + 3*u**2 + 3*u + 3. Calculate h*i(a) - 3*v(a).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 25 + (-3 - (-1 - 8)) - 9.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 5*y - 3 - 2, -m = -5*y + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -241*f - 26 - 18 + 283*f wrt f.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10304*b**2*r**3 + 649*b**2 + 3*b*r**2 wrt r?\nAnswer: 61824*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 + 4*p**2 + 3*p - 16. Let f(v) be the third derivative of -v**6\/24 + 11*v**5\/60 + v**4\/3 - 47*v**3\/6 - 4720*v**2. Determine 3*f(m) - 8*q(m).\nAnswer: m**3 + m**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 6}. What is prob of sequence oy?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*v**2 + 6*v**2 + 54*v**2 + ((3 - 4 - 3)*(-3 + 1 + 3) - 2 + 4 - 3)*(4*v**2 + v**2 - 2*v**2) in the form f*v + t + k*v**2 and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2. Suppose -4 = -f*q - 2*x, -x = 4*q + 3 - 26. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Suppose -2*p + v*p = -3*z + 16, 2*z = -p - 1. Suppose -7*r + 6*r = -2. Put p, -8, r in decreasing order.\nAnswer: r, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8554175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 6) to base 5.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8485\/638 + -242\/29. Find the common denominator of -93\/20 and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/39 bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 1 + 0*d**3 + 1\/24*d**4 + 0*d + 3\/2*d**2 - 1\/60*d**5. Let l(g) be the second derivative of k(g). Let l(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l - 428264 = 169156. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 0.13 (b) 4 (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 0*k + 5*k = 12*x, 0 = -4*x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 5*s. Let y = 12 + -6. Determine r(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4857*y + 918 = 4874*y. Calculate the remainder when 4641 is divided by y.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(891) - sqrt(891) - ((sqrt(55)*-1)\/sqrt(5))**2).\nAnswer: -162*sqrt(11) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 75. Let o be (-2)\/3*(1 - i). Is 11 a factor of 1*(o\/1 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -2) + -12 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 1020 = 1212 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z - 1. Let n be h(1). Suppose 6*f - 344 = p + 413, -4*f + 2*p = -506. Suppose f*x - 224 = 112*x. Solve -q = -4*t + 3*q - x, n*t + 4*q = 24 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 37*h - 5. Let y(i) be the third derivative of i**7\/5040 + 3*i**5\/10 - i**4\/24 + 64*i**2. Let z(v) be the third derivative of y(v). Determine g(z(w)).\nAnswer: 37*w - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*s**2 + 107*s**2 - 216*s**2 - 43*s**3 + 3*s wrt s.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -77. Suppose j = -4*j + f. Let m(k) = -5*k**2 - k - 8. Let c(z) = -9*z**2 - 2*z - 15. Let g = 1311 + -1322. Calculate g*m(v) + j*c(v).\nAnswer: v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eggeggg. What is prob of picking 2 g and 1 e?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/446949 and -12\/21551?\nAnswer: 10279827","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*((-3 + 0 + 4)*(-11 + 11 - 3*v) - 4*v + 5*v - 4*v).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 + 14913 + ((-10)\/(-8))\/((-19)\/76) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 663650 - -3645?\nAnswer: 1000625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 4*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-12) + -13*(-2)\/12. Determine i, given that -57*i**r - 30*i**3 - 51*i + 11*i - 3*i**2 + 0*i**2 - i**4 - 4*i**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22861 is divided by 2290?\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 15, q: 4}. Give prob of picking 3 q.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 434705047.7 rounded to the nearest one hundred thousand?\nAnswer: 434700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 8*t = -528. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 212, 1\/227, -5, -15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1468 = 611*w - 1587 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j - 25 = 0. Let b = -5 - j. Solve -5*t - 2*l + 7*l - 10 = b, -l = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(363))**2 + (4 + sqrt(363)*-1 - sqrt(363))**2.\nAnswer: -154*sqrt(3) + 1832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 398182?\nAnswer: 10750914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 3*j**8\/56 - 79*j**7\/105 + 15*j**6\/4 - 63*j**5\/10 - 9*j**4\/2 - 11*j**2. Factor q(p).\nAnswer: 2*p*(p - 3)**3*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*p + 5*b, p + 11 = b + b. Let m(i) = 2*i**2 + 2*i + 1. Let w be m(p). Suppose u = w - 2. Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*x**3 - 559*x**2 + 181504 with respect to x.\nAnswer: 9*x**2 - 1118*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1025*m + 14350. Give b(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113324.\nAnswer: 2, 41, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 440574204 to the power of 1\/2, to the nearest integer?\nAnswer: 20990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -8. Let n be 1\/w + 3 + 2. Suppose 2*c - n = -c. Sort 6, c, -3\/4 in descending order.\nAnswer: 6, c, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274 + -271.\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5 + 1527 + -4 - (21 - 13) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -12 - 11 - 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11231 (base 4) to base 16\nAnswer: 16d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -132 or 501?\nAnswer: 501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12521*l**4 + 193*l**2 + 2611 - 877 + 135*l**2 - 328*l**2 wrt l.\nAnswer: -50084*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -134666, 3, 2, 7, -4, -3 in decreasing order.\nAnswer: 7, 3, 2, -3, -4, -134666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 9:36 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 32119?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4119668 by 294262.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 10*w**2 + 40*w - 8. Let u be o(13). Let v be (-15)\/(-10)*(-5)\/(u\/2). Which is smaller: v or -30\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*t**2 - 42*t**3 + 9 - 4*t**2 - 2*t**2 wrt t.\nAnswer: -126*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 + 23 - 91 - 155 + 83*b**2.\nAnswer: 83*b**2 - 375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 600000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 greater than or equal to -708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 + -107 + (-64395)\/(-594).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 160, -240, 42 in decreasing order.\nAnswer: 160, 42, 2, -3, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = x - 14, -3*x + 0*q + 32 = -2*q. Let j(c) = -x*c + 1 + 1 - 4 + 11*c. Give j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 9. Let d = n - 2. Let p = 2\/19 - 52\/133. Which is the second biggest value? (a) d (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 + -3 - -3) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 2*x + 2. Let w be t(-2). Suppose -w*a = 80 - 344. Calculate the common denominator of 0\/6 - 98\/a and 7\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -254*m - 164. Is g(-24) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 = 4*p + 7*p - 356 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71.75 - -69. Let v = -0.35 - x. Which is bigger: v or 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 100. Let b(c) = -3*c**2 - 77*c - 62. Let g be b(-27). Let x = -135 - g. Calculate the lowest common multiple of x and n.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1731465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175 - 147. Suppose 0 = z - 0*z - n. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k. Let z be 3\/(-18) + 7\/42. Let w(m) be the third derivative of 0*m**4 + z + 0*m + 0*m**3 - 3*m**2 + 1\/60*m**5. What is w(j(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -354.4005597 - -354.4. Round a to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 5*k - 5. Let a = 7 - k. Find the third derivative of 4*f**3 - 4*f**3 + 5*f**4 + 0*f**3 - 5*f**a wrt f.\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 12*p - 116 = -4*x, 2*p + 5*x = 67. Suppose -p*n - 511 = -27*n. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m + 16. Let o be b(-4). Let d be (o + 54\/12)*0. Solve -w + d*w - 5*q = 0, -4*w + 2*q = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*o**4 + o**3 - 126.\nAnswer: -20*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 4:05 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17708402, 35416804, 53125206, 70833608, 88542010?\n\"Answer: 17708402*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.39 in -1\/3, -1, 8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**4 - 2*a**3 - 6*a**2 + 12*a - 7. Let j = 113 - 115. Let l(x) = x**2 - 1. Let c(v) = j*f(v) + 6*l(v). Suppose c(n) = 0. Calculate n.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114757972 is divided by 40479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27166703, 27166702, 27166701, 27166700, 27166699?\nAnswer: 27166698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abmqmhhhmmfahhf. What is prob of picking 2 f and 1 q?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 78950643?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 7*u**2 + 8*u - 2. Let d(w) = w**2 + 2*w. Let i be d(-7). Let c be 84\/i*5\/2. What is the units digit of v(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 551 + 1693. Find the common denominator of -83\/52 and t\/(-704)*5\/(-3).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-22)*f*f)**(-2\/69) assuming f is positive.\nAnswer: f**(-52\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmm when three letters picked without replacement from {m: 4, q: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a + 188 = 0. Let c = -34 - a. What is the remainder when 38 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, 43, 97, 173?\n\"Answer: 11*t**2 - t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (-2 + sqrt(242) + sqrt(242) + (sqrt(242) - (sqrt(242) - -5*sqrt(242))) + sqrt(242)*-4*-1)**2)*-2.\nAnswer: -2490 + 440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjh when three letters picked without replacement from hzzzjpjbzzhhjk.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 + 20663\/(-28). Let g = 4463\/6 + j. Let w = -82\/211 - -23069\/1266. What is the common denominator of w and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - (-6118)\/28)*(-2)\/20. What is the closest to -0.05 in d, -3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -690 divided by 138.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 478835307 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131385?\nAnswer: 3, 5, 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-47)\/5 + (-6)\/10. Let k = -7 - r. Determine b so that 0 - 2\/7*b**2 + 2\/7*b**4 + 0*b - 2\/7*b**5 + 2\/7*b**k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*c**2*d**3 + 2*c**2 - 201*c*d**2 + 5*d**3 wrt d?\nAnswer: -174*c**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118575738 and 440802?\nAnswer: 118575738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -595 + 522 - (2 - 32).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 901 divide 27555064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -397*v**2 - 69*v + 69*v + 0 + 0 in the form d*v**2 + a*v + t and give d.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 1700*x - 42. Determine r(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 11*p**3 - 3*p + 2. Let s be u(1). Suppose -40 = s*l + 80. Is 8\/(-6)*2*l\/8 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -254*d + 18. Let r(v) = -v - 3. What is 6*r(p) + z(p)?\nAnswer: -260*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9204*y + 224*y**2 - 9204*y - 222*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q + 3. Let z be a(-2). Suppose z*k + 3*w - 4*w = 13, -2*w = 3*k - 13. Solve 3 = -3*s - o - o, 0 = -k*s + o + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*s = -217*s + 10836406. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -95656 and -1.24185.\nAnswer: -95657.24185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*k - 29 = -207, 4*k - 421 = -5*y. Let f = 103 - y. Let d = -121 + 175. Calculate the remainder when d is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 8:50 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**5\/60 + 7*h**4\/24 - 5*h**3\/6 + 11*h**2. Suppose 59 = -7*i + 17. Let y = 10 + i. What is q(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 31, 11, -17, -53?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*p - 45 = -5*o, -o - 5*p - 20 = 0. What is the least common multiple of -5 + 5 + -1 + 5\/1 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274 = -358*o - 414 - 386 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3219 and 2109?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 698*o + 16 - 707*o + o**3 - 6*o**2 + 0*o**2. Determine p(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 22*a**2 + 21*a + 4. Let k(v) = 5*v**2 - 7*v - 3. Let s be k(3). Let u be i(s). What are the prime factors of (-15)\/5 + 1 + u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0.4, 5, -47 in increasing order.\nAnswer: -47, 2\/11, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, -4, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*x = w - 3, 5*x = 0. Suppose 3*j = 4*m + 11, -w*m = -7*m + 5*j - 13. What is the remainder when 33 is divided by m\/((-148)\/(-52) - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74089211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 2. Let x be v(3). Let a = x - 1. Suppose 26 = 4*q + 2. Solve -4*o + 2 + q = a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.022 - 0.022. Put -2\/9, 0.4, 1\/9, m in increasing order.\nAnswer: -2\/9, 1\/9, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1434523 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/40 - -18*22\/(-1584).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.2. Suppose -5*y = 0, 3*y + 30 = -w + 3*w. Let l be -1*(-11)\/(-15) - (-6)\/w. What is the closest to -0.5 in l, g, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87574090559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1152, -1340, -1654, -2094, -2660, -3352, -4170?\n\"Answer: -63*b**2 + b - 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 765*o**2 - 9942*o - 16. Calculate g(13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (8 - -5) - -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/107))\/(d\/d**11)*d**(1\/5)*d**(2\/7) assuming d is positive.\nAnswer: d**(42944\/3745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (0 - 2) - -156. Suppose 0 = -5*b + 2*r + t, -5*r + r - 116 = -4*b. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.59 + -76.41. Let h = 113 + i. What is the third smallest value in 0.5, -2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.9 and -96.58?\nAnswer: 376.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:54 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5931 + -5929. Let g = 9 + -8. Put 8, g, -5, o in descending order.\nAnswer: 8, o, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + 6*-1*sqrt(448) + -3))**2.\nAnswer: 4800*sqrt(7) + 403300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-315)\/(-7371))\/((-5)\/6)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r + 7. Let u(o) = 33*o**3 + 8*o**2 + 5*o - 28. Let g be u(3). Let c = g + -947. Let q(m) = -6*m + 7. Determine c*q(k) - 4*x(k).\nAnswer: 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -348*u + 2084. Let j be r(6). Let h(i) = -4*i - 23. Give h(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, -5\/3, 1\/39, -8685, 5?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4\/2 - 243*u**3\/2 - 6525*u**2\/2 - 58029*u\/2.\nAnswer: -3*u*(u + 23)*(u + 29)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 3 (c) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 255.\nAnswer: 76.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 823\/15 + -167\/3. Let k = 3.6 + -0.6. What is the second biggest value in n, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1048*w + 264*w**3 + 417*w + 1406*w**3 + 631*w.\nAnswer: 1670*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -24, -38, -58, -84?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1441 and 1408.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12793 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131180162?\nAnswer: 2, 1579, 41539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/4))\/i)**(-37))**(-28\/3) assuming i is positive.\nAnswer: i**(259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774141804?\nAnswer: 2, 3, 21503939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -493*n**3 - 2673*n - 101*n**3 + 2695*n to s*n**2 + t*n + r*n**3 + i and give r.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2462760 and 66.\nAnswer: 27090360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 24*j + 24. Calculate n(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - d - 1. Let f be c(4). Let w = 15 - f. Suppose w*t = t + 6. Solve t*z = -3*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(6\/7)\/(k*k**(-7))*k*k**(-1)*k*k\/k**7 assuming k is positive.\nAnswer: k**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85015865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5180?\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*d. Suppose 5*g - 15 = 5*u, -5*u + 5 = -g - 0*u. Suppose -2*f + 151 = -g*x + 540, -3*f - 6 = d. What is the highest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10010111111101001110110?\nAnswer: 10010111111101001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 5*v**4\/12 - 11*v**3\/6 + 37*v**2\/2 - 26*v. Let m(y) be the first derivative of o(y). Is 18 a factor of m(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 16*j**3 - 2 + 3*j**2 + 17*j**3 - 3*j**2. What is v(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148678 or -2824890\/19?\nAnswer: -2824890\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1620, 1618, 1614, 1608, 1600, 1590?\nAnswer: 1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5419*n**5 - 3*n**4 - 1331*n**3 + 15403*n**2 - 13*n - 6 wrt n?\nAnswer: 325140*n**2 - 72*n - 7986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000774808341 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 2*p + 38. Let l be 100\/(-15) - 3\/9. Let u be v(l). Let t be (25\/(-10))\/(u\/6). Is t smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259, -295, -325, -343, -343, -319, -265?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2. Let o(i) = -i + 3*i + 0*i - 4*i. What is h(o(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3*g + 6*g)*(3 + 3 - 5) - 3*g - 3 + 3 - 41 + 41 - 7*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (62\/4)\/(11 - 23\/2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1737)\/(-36) + 2\/(-8). Let p be ((-7)\/3 + 3)\/(6\/459). Let h = j - p. Put 1, h, -6, 3 in descending order.\nAnswer: 3, 1, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 7*n = -45, 3*x - 3*n + 1610 = 1619 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65336257 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 647444 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/((-19)\/(19\/(-6))). Let h(f) be the second derivative of 0*f**3 - 6*f - 1\/6*f**4 + 0 + s*f**2. What is the derivative of h(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(6\/8) + (-40)\/5. Let y(w) = -112*w - 29. Is y(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**0\/f)\/f)**(1\/3)\/(f*f\/f**(1\/4))**(-7\/2) assuming f is positive.\nAnswer: f**(49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 10 = 2. What is the smallest common multiple of 120 and -3 - -3*s\/(-18)*7?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 24 = -4*q, 5*j + 3 + 25 = -4*q. Let l = 19 - q. Let a = l - -59. Calculate the greatest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/2 + 18\/2. Let b = y - 24. Let n = -7 - b. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-7))**(1\/12) assuming t is positive.\nAnswer: 1\/sqrt(t)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -222?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 - 47*w - 1. Let u(x) = 6*x**2 + 48*x + 1. Give 7*g(d) + 6*u(d).\nAnswer: d**2 - 41*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 8. Let i(k) = 2*k + 1302 - 666 - 653. What is 3*i(j) - 5*v(j)?\nAnswer: j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/5 - 367*j\/5 + 6282\/5 = 0. Calculate j.\nAnswer: 18, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -34. Let c be (b\/(-8))\/(3\/6). Let d(i) = i**2 - 2*i - 12. Let u be d(c). Solve h + s + 0*s = 1, 12 = u*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 44333143?\nAnswer: 44333155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15993 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 314?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**6\/360 + d**5\/60 - d**3\/3 - 3. Let z(q) be the third derivative of a(q). Determine w, given that z(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 1237*j**7\/42 + 5*j**4\/6 + 121*j**3\/6 - 1858*j. Find the third derivative of h(v) wrt v.\nAnswer: 74220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 285, 5\/12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 15. What is m(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -164, -1202, -4026, -9530, -18608?\n\"Answer: -149*v**3 + v**2 + 2*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -5, 565, -4 in increasing order.\nAnswer: -5, -4, -2, -1, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/24 + 24*f**2. Let w(d) = 39*d**2 - d + 1. Let u(a) = a**2 - a + 1. Let c(m) = -u(m) + w(m). Give c(z(p)).\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -768 divided by 3.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-28)*(3 - 10). What is the units digit of -18*2\/(j - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 40428 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 25.09. Let j = -6.8 - -5.71. Let w = f + j. Which is the closest to w? (a) -2\/7 (b) 2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 - -145. Let r(s) = -s**3 + 21*s**2 + 21*s + 25. Let t be r(z). Factor 146*a**t - 10*a**4 + a**5 - 3*a**4 - 322*a**2 + 340 - 147*a - 8*a**4 + 3.\nAnswer: (a - 7)**3*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 38*z**2 + 9*z - 274. Determine t(38).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129323 - -44709. Let c = -84614.161073 - m. Let h = c - -0.161. Round h to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1 + (-9)\/(-6)). Let p be 15 + (1 - f)*1. Calculate the highest common factor of p and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462109068.\nAnswer: 2, 3, 12836363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/7 of a week in minutes?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - 500*n**2 + 31*n**4 + 506*n**2 + 0*n**3 - 2*n to h*n**2 + q*n + l*n**3 + a*n**4 + b and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6338 is divided by 318?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30231751 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63551.4695 - 63529. Let o = s + -0.1095. Let u = -23 + o. Round u to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**3*(v*v**(-4))\/v)\/((v\/v**5)\/v)**(1\/5) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -7*z**5\/30 - z**4\/24 + z**3\/6 + 5*z**2\/2 + 1. Let q(f) be the second derivative of o(f). What is q(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/5*(-4 + -1). Suppose -o + 6 = 2*o. Suppose -5*q + s*l + 34 = 0, 2*q + o = 2*l - 6*l. Solve -1 = -4*r + q*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 498727518136.\nAnswer: 498727518135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32219, -32224, -32231, -32240, -32251, -32264, -32279?\nAnswer: -32296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2375550 is divided by 2375221?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(13 - 5) - ((-103)\/2 - 2\/(-4))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6 = 4*b. Let s(u) = -17*u**3 + u**2 - 1. Let a be s(-1). Let z = a - b. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4649899 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-75 - 96) + 187 - (-44 + 2)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.0738 + -0.0738. Is u less than or equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(3840)*-1)\/((sqrt(35)*2)\/sqrt(7)))\/((sqrt(60)\/sqrt(3)*-6)\/(sqrt(15)\/sqrt(3)*5)).\nAnswer: 3 + 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48220005.\nAnswer: 3, 5, 19, 71, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14501707 and 1457.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5287243829 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -k + 2*a, -4*k - a - 5876 + 5889 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28017\/10 or 2803?\nAnswer: 2803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2917996561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3164521\/399732 - -2\/33311. Let j be 5\/7 - (-4)\/14. Find the common denominator of j + 1 - (-31)\/12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 2 + 2)*2. Let 2*m**3 - b*m**3 - 3*m**3 + m**2 - 4*m**2 = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 35*w**2\/2 + 1. Let j(v) = 92*v**2 + 749*v**2 - 843*v**2. Give j(p(h)).\nAnswer: -2450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + 5. Suppose 2*o - 449 = -4*y + 5*o, y - o - 113 = 0. What is the remainder when y is divided by r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 11\/3)*-3. Suppose 15*u = 47 + 28. Suppose -4*d = -u*d + 6. Which is the nearest to 0.1? (a) -4 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -222 equal to -222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 - 148. What is the hundreds digit of -3*1832\/q*-9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i - 2*i + 3126*i**2 - 3035*i**2 to the form h + p*i + n*i**2 and give n.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256034609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 - -116. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -8. What is the remainder when 18 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 110 = z, -316 = 3*g - 7*z + 11*z. Which is smaller: -109 or g?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 509, -2\/13, 1, 0, -4 in decreasing order.\nAnswer: 509, 1, 0, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -8, 5*j = 4*j + 5*q - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20476246?\nAnswer: 2, 7, 1462589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -35*j. Let k(f) = -14*f. Determine k(t(a)).\nAnswer: 490*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20321 (base 6) in base 16?\nAnswer: a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -701727, -701728, -701729, -701730, -701731?\n\"Answer: -s - 701726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1702.312 + -1526.49. Let q = -36.2 - -212.2. Let w = o - q. Round w to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/sqrt(3))\/sqrt(3))\/((sqrt(120)\/sqrt(2))\/sqrt(12)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58991.\nAnswer: 58991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/((-35)\/4))\/((-2)\/7). Suppose 2*o + 2*o = -5*n - 20, n - 10 = s*o. Which is smaller: -32\/9 or n?\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 3)*(-4*p**4 + 2*p**4 + 4*p**4 + (-12 + 12 + 3*p**2)*(p - p + p**2)).\nAnswer: -30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 126194043\nAnswer: -7571642.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2. Let i(j) = -7 + 6*j + 7 + 9*j. Determine n(i(f)).\nAnswer: -450*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22*3\/6 + 13. Solve 44*c = -f*c + 476 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47472488, 47472486, 47472484, 47472482, 47472480, 47472478?\n\"Answer: -2*t + 47472490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 9*h**2 + 7*h - 4. Let f be u(-8). Find the third derivative of -26*r**4 + r**2 + 3*r**2 - r**2 + 28*r**f wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/5 + 38*g**3 + 5664*g**2\/5 + 54144*g\/5 = 0. What is g?\nAnswer: -47, -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -5, -14, -37, -80?\n\"Answer: -j**3 + 2*j**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/10304 and 169\/1980?\nAnswer: 5100480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 0, 4, 10, 18, 28, 40?\n\"Answer: w**2 - w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19949129.\nAnswer: 29, 687901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 2*d + 82. Give m(0).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7423278 equal to -7423277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 - y**2 - y - 2. Let t be z(-2). Which is smaller: -177\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 + (-17 - (-20 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/90)\/((-1)\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -107 (b) -180 (c) -1\/2 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.92 - -1. Let j = -2.08 + z. Let m = 231\/824 + -16\/103. What is the closest to j in -2, 0.1, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8038 - 0.1.\nAnswer: 0.7038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2090\/7 - 298. Determine p so that 10\/7*p**5 + 0*p**2 - 6\/7*p**4 - g*p**3 + 0*p + 0 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 4*c - 3*c)*(-c - 4 + 4)*(0*c + 2 - 4 + 3*c).\nAnswer: -3*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-287*j + 574*j - 386*j + (3 + j - 3)*(-2 + 5 - 4))*(6*j - 4*j - j)*(-1 + 4 + 14) to the form z*j**2 + t + s*j and give z.\nAnswer: -1700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325 - -361 - (1 - 4).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68306093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -419 - -418. What is the units digit of (-1 + h + -1)*(-2 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y. Let s be h(1). Suppose 186 - 174 = 4*u. Let v be 1 - (2*-1 - -3). Sort u, v, s.\nAnswer: v, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3447.7744 to the nearest integer.\nAnswer: 3448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 0 + -6 + 12 - (-14)\/(-21). Factor -76\/3*o + 8\/3*o**2 + r*o**5 + 12 - 44\/3*o**4 + 24*o**3.\nAnswer: 4*(o - 9)*(o - 1)**3*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0. Calculate the remainder when 58 is divided by (20 - (1 + -2)) + t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:17 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4214 or -4212?\nAnswer: -4214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 553 divide 4674524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -43, -67, -59, 5, 149, 397?\n\"Answer: 4*u**3 - 20*u**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 4*t + 3*d, -15*d + 80 = -6*t - 10*d. Sort t, -1.2, 0.5, -1.\nAnswer: t, -1.2, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533.8743 years to centuries.\nAnswer: 5.338743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783 = -0*h + 5*h - 798, 4*n + 28*h = 11 + 9 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 29 + 35 = 0. Is (898\/w)\/((-18)\/54) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -20*c**2. Let o(u) = -2*u**2 - u. Let q(g) = g**2 + g. Let h(w) = o(w) + q(w). Give y(h(j)).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -885 divided by -177?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -318 + 511. Let j = 254 - x. Does 61 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 73 = -345. Suppose 4*p = -n*p + 2163. Let d(g) = 3*g - 31. What is the remainder when p is divided by d(19)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2787)\/(-6503) + (-2)\/70)\/(3\/(-120)). Let g = -1.1 - -0.8. Let h = g + 0.3. Which is the closest to -2\/7? (a) y (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110101101110001101110 (base 2) to base 5\nAnswer: 3011022140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13428 divided by 1199?\nAnswer: 13428\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from {y: 1, m: 5, r: 5, c: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 160*g**4 - 2680 - 576*g + 2680 + 12*g**5 + 384*g**2 + 608*g**3 = 0.\nAnswer: -6, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -790, -1578, -2364, -3148?\n\"Answer: t**2 - 791*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287 and 24513859.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472737.\nAnswer: 3, 157579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1182*l**3 - 28*l**2 + 16*l - 7. Let d(f) = -788*f**3 + 20*f**2 - 11*f + 5. Determine 5*a(c) + 7*d(c).\nAnswer: 394*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -900*i**2 + 3527*i + 7051. Calculate z(-2).\nAnswer: -3603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 - 0.07. Let y be (32\/24)\/(2\/(-6 - 0)). Let p be 2\/y*-2 + (3 - 6). What is the second biggest value in 0, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/22)\/((-1)\/4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-56)*52 - 9\/((-252)\/(-8)). Put -1009, -5, -3, o in ascending order.\nAnswer: -1009, -5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-19)\/(114\/12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 377.29772 - -0.00228. What is j rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**11*z*z)**(-1\/5) assuming z is positive.\nAnswer: z**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1740 - -1990. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/9 and (17 + -14)\/((-9)\/105*13470\/(-16)).\nAnswer: 4041","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 greater than or equal to -0.066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - v. Let i be (-3)\/(4\/(28\/21)). Let u(t) = -59*t**2 + 24*t - 1. Let a(j) = i*u(j) - 4*h(j). What is the second derivative of a(l) wrt l?\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.02, 61?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000053643 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t**3 - 2*t - 5. Let u(z) = -10*z**3 + z + 5. Let p(s) = -5*b(s) - 4*u(s). Let h be p(-2). Calculate the highest common factor of 9 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -43.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -798111330 to the nearest 100000.\nAnswer: -798100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145*p**2\/6 + 74201*p\/2 + 44509\/3.\nAnswer: (5*p + 2)*(29*p + 44509)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56.6 - 62. Let p = -5 - d. Sort 1\/4, p, 0.3.\nAnswer: 1\/4, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3)*(-1 + 0 + 0)*(0 + 0 + g)*(12*g + 16 - 16) as k*g**2 + q + n*g and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/(4\/36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2729, 5207, 7459, 9509, 11381, 13099, 14687, 16169?\n\"Answer: 4*w**3 - 137*w**2 + 2861*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 14*y + 34. Let x be s(-11). Let i(h) = h. Let n(q) be the second derivative of 2*q**3\/3 - 3*q. Let m(f) = 2*i(f) - n(f). Give m(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 4, j: 3, x: 3}. What is prob of sequence xo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**3 - 4*q - 2207. Let l(o) = 19*o**3 - 11*o - 6622. Determine 11*d(x) - 4*l(x).\nAnswer: x**3 + 2211","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -2\/41, 5, 3\/4?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/10 + 96\/10. Let q(o) = -5 + 3*o**3 - 2*o**3 - 20*o**2 + 0*o**3 - o + 11*o**2 + 8. Calculate q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {o: 1, t: 1, d: 1, m: 1, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 12515*b + 86421*b - 10966*b.\nAnswer: 87970*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -23142 divided by -7\nAnswer: 3306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = 16. Let d = w + -5. Let o be 37 - 57 - (-41 + 19). Solve -5*x - o*i - 15 = -3, 0 = -3*x + i - d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 2 + 0 + l**3 - 2*l**3 - 3*l. Let k be (4\/(-12))\/((-1)\/(-6)). Let v be j(k). Solve 0 = 4*s, -v*r - 5*s = 4 + 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Let y = -6.0606 - -0.1096. Let w = y - 0.049. Sort w, c, 1 in decreasing order.\nAnswer: c, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/3 - 4*x**3 + 8*x**2\/3 + 16*x.\nAnswer: -2*x*(x - 2)*(x + 2)*(x + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 13. Sort -0.4, 26, p.\nAnswer: p, -0.4, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25370 + 25287 + 290*d - 50657.\nAnswer: 290*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 - 12 = 0. Let i = -6 + b. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 + 71.\nAnswer: 70.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 - 398*z - 1025. Determine j(-77).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*y - 71 = 35, 2*v + 96 = -5*y. Let o = v - -74. Let u be (-1118)\/(-9) - 8\/o. What is u rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 2\/(42\/27). Let o = 0.123 - -7.577. Let y = 8 - o. Sort y, b, -3.\nAnswer: -3, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 16) to base 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -4 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (4 + -1 - 11). What is the fourth smallest value in -3, w, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1801 = -5*m - 17626, 0 = 4*x - 3*m - 12658. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2026*x - 1977*x - 8353*x.\nAnswer: -8304*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 0.2, 2\/43, -14.7176, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -360.6 - -361. Let x(k) = -4*k - k**3 + 6*k**2 + 7 - 4*k**2 + 0*k - 9*k**2. Let d be x(-6). What is the second smallest value in d, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 576 by -4.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-74)\/(-2) + (-4)\/(-2). Let z be 414\/(-10) + 12 + -10. Let n = q + z. Which is the nearest to -2? (a) -4 (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by (-2)\/(-7) + (-4320)\/(-168).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 118 + 437 = 0. Does 21 divide b - (-3 - (-1)\/(4\/12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48\/11 - -262\/55. Let g = 2 + -1. Suppose 4*s - 1 = 5*s. What is the second smallest value in n, s, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17524*c**3 - 2*c**2*n**3 + 3*c*n**3 - 23*c*n**2 + 2*c*n - 76 wrt c?\nAnswer: -105144*c - 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 13 = -2*o - 51, -73 = -5*m - o. What is the remainder when 86 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129716 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 10.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11812 is divided by 1685.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:02 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - -88. Let x = 532\/5 - t. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-15))\/(3\/2085)*-3. What is the common denominator of 8\/(-20)*p\/(-96) and 37\/11?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364913683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - o**2 - 3*o - 2. Let v be t(-2). Let m be (v\/2)\/(-4) - -2. Which is the second biggest value? (a) m (b) 1\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47 + 47 + 16*b**5 + (1 - 1 - 2*b**4)*(0*b - b + 0*b).\nAnswer: 18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + v + 16. Suppose v*i - 3*i - 3 = 0. Let c(j) = 2*j**2 + 8*j + 9. Let u be c(-6). What is the highest common factor of u and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {p: 2, l: 2, t: 6, a: 3, x: 1, i: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j - 126*j - 1280 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*k + 26 = -2*k, 4 = v + 2*k. Let o = -1290 - -1291. Which is the closest to o? (a) -2 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9741166 centuries to decades.\nAnswer: 9.741166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8905 and -0.130231?\nAnswer: 8905.130231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100048 + -10?\nAnswer: 100038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l + j + 2597 = 0, 5*l + 5*j = 3240. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.71 + -1.709998036. What is b rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68761*r - 267481?\nAnswer: 68761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 3:38 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 160?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1 + 4 - 1 - k - 61001*k**3. Suppose 3*v - 91 + 88 = 0. Let c be g(v). What is c rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -9*w + 8*w + 1, -2*w = -10. Put g, -2, -376 in descending order.\nAnswer: g, -2, -376","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/((-486)\/(-36))*3. Put 3\/82, d, 4 in descending order.\nAnswer: 4, d, 3\/82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, z: 2, n: 1, t: 1}. What is prob of picking 1 b, 1 z, and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*s + m + 25, -5*s = 4*m + 29. Suppose -2*r = 3*w, 6*w = r + w. Sort r, 10, s in decreasing order.\nAnswer: 10, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5 = 2*o - 9, 2*y - 4 = -2*o. Suppose -o*b + b - 2*f = -20, -30 = -5*b + 4*f. What is the remainder when 27 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, q: 3}. What is prob of picking 1 g and 3 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -86. Let s be (6\/p)\/(51\/(-6)). Sort -6\/7, 1\/9, s, 5 in ascending order.\nAnswer: -6\/7, s, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 14*z**2 + z + 1. Let k = 289 - 290. Determine r(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075582 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -255073*20\nAnswer: -5101460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-14)\/(f**14\/f))**(-3\/13))**(-1\/28) assuming f is positive.\nAnswer: f**(-81\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066.097 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from {j: 2, c: 6, o: 1, e: 1, n: 8}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7404 and 912.\nAnswer: 562704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000041779275 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Let i(g) = 32897*g**2. Give i(d(v)).\nAnswer: 32897*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 363040?\nAnswer: -363044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -318 + 1c?\nAnswer: -2eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5586 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 298 and 422266.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = i - 4, 21 = i - 5*b. Let w = i - -6. Solve 3*x + 2*k = 4 + 8, -3*x - k = -w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - -12. Suppose c - 47 = q. What is the greatest common factor of 40 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305866277 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 2*q**2 + 2*q + 1. Let p be z(3). Let g be -4*((-3)\/p)\/(-3). Suppose -g*x = x. Solve -3*l = 3*u + 9, x = -l - l + 4*u - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5220 + 2582. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**6\/72 - x**5\/6 - 5*x**4\/6 + 22*x**3\/3 + 14*x - 1. Let d(n) be the second derivative of g(n). Solve d(j) = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 r when three letters picked without replacement from {r: 1, x: 2, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1764 + 56. Let f be 4\/6 + r\/(-12). Let u = f - 51. What is the remainder when u is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68)*-5 + sqrt(68) + sqrt(68))\/sqrt(4).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10430952 and 406?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iori when four letters picked without replacement from {i: 2, r: 3, j: 6, o: 2, v: 6}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -209 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5660\/(-1981))\/(16\/(-7))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-9 - -52) - -9) + 1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -4, -1044 in descending order.\nAnswer: 3, -3, -4, -1044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -1. Suppose -v = n*s - 6*v + 10, -5*s + 30 = v. Suppose 2*t - s*l - 4 = -0*t, 0 = 4*l. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/24 + -4 + 204\/1836?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 1140 = 0. Calculate the lowest common multiple of 399 and s.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4729000 rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(3\/(-5)))\/((-6175)\/741). Which is the third biggest value? (a) 10 (b) 1\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*q - 16 = 3*c, -5*q = -2*c - 8. What is the tens digit of (40\/(-15))\/c*78?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(3\/8)*i))**(-1\/6)\/((i\/(i*(i\/(i\/(i**(-2)\/i*i)))\/i))\/i**(2\/9)) assuming i is positive.\nAnswer: i**(-391\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.126 + 8.634. Round r to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/102410 and 61\/26041400.\nAnswer: 182289800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 4*o - 4*o. Let i(b) = 32*b. Determine l(i(r)).\nAnswer: 64*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*l - a, 0 = 3*l + 2*l - 2*a - 2. Suppose -7*x + 358 - 36 = l. What is the least common multiple of 4 and x?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*u + 7685 + 123347, 0 = 5*u + 5*i - 218380. What are the prime factors of u?\nAnswer: 2, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5457.\nAnswer: 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8898113.34 rounded to the nearest ten thousand?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**4 - 40*f**3\/21 + 34*f**2\/7 + 5450. What is d in z(d) = 0?\nAnswer: -17\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 s when three letters picked without replacement from bslrbblbeybseebybs.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 5*z**2 - 10*z. Let g(l) = -l**3 + 7*l**2 - 15*l. What is -5*g(w) + 7*m(w)?\nAnswer: -2*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7*p = -1000. What is the highest common factor of 380 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v**2 - 3372*v - 18610. Determine d(427).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 13) to base 11.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1559.6 times 0.3\nAnswer: 467.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 27 = 5*d. Let l = 8 + d. Let x be 0 - (0\/3)\/l. Solve w + 0 + 5 = x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a centimeter in micrometers?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 74 - 49)*(-2*x**4 + x**4 + 3*x**4).\nAnswer: -42*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 12*s**2 + s + 48. Calculate d(12).\nAnswer: -1668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -654736171.95 + 0.261?\nAnswer: -654736171.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8506*r**4 + 3*r**3 - 126663?\nAnswer: -34024*r**3 + 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3) + 1 + 480\/(-360)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242 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: What is the value of -36 - (-35 + 62) - (10 - -3)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33964193 is divided by 454.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*x**2 + 549*f*x + f + 334*x**2 + 2*x wrt x?\nAnswer: 2*f + 668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 15*j**2 - j + 17. Let g = 35 + -20. Let h be u(g). Solve -2*l = h*o + o - 1, -2*l + 5*o + 9 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*s + 28 = -4*d - 93*s, -2*d + 10 = -4*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - -3) + (1510 - (-144)\/(-12))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.2828083 to zero dps.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:47 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 569 - 361. Does 26 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.17, -77, -129, -1\/3?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24358, -48726, -73120, -97552, -122034, -146578, -171196, -195900?\nAnswer: -220702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -23. Let q be (3\/(-3))\/((-2)\/8). Let p = q + y. Sort 0.5, -4, p in increasing order.\nAnswer: p, -4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 4*i**2 - 7*i - 6. Let g be a(-5). Suppose -h + g = -6. Calculate the remainder when 37 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51\/14 + -95\/28. Sort -0.4, i, 12 in increasing order.\nAnswer: -0.4, i, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 654125418*r**6 + 562384308*r**2 wrt r.\nAnswer: 78495050160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13559*m - 13604*m = -765 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43198 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 - 7547*f.\nAnswer: -7547*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 3 + 13 - 3*x**2 + 7.\nAnswer: -3*x**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:15 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 7, -7, 81, 1 in ascending order.\nAnswer: -7, -2, 1, 3, 7, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 75. Let s = 3 + -8. Let r = s - v. Which is the closest to -7? (a) -5 (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4214371 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 408*w**2 - 16*w + 16. Let o be t(8). What is o rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 131 - -4?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89742835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/12)\/((-25)\/45)*-5. Suppose 984 = 30*d - z*d. Calculate the remainder when d is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2*2\/(-18). Let v = -1\/3 - n. Let u = -4.26 - -0.26. What is the closest to 1 in v, u, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6)*-4 - (-6)\/(-9). What is the smallest value in c, 1\/5, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 139204 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, p: 11}. Give prob of sequence pmpp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -2*j**5\/75 - 17*j**4\/30 - 32*j**3\/45 - 585. Factor s(l).\nAnswer: -2*l**2*(l + 1)*(l + 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 2*h + 15. What is o(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 + 4516 + 15*q**3 + q**2 - 4516. Give n(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28032)\/(-365))\/(-64))\/(3\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*b**3 + 289 wrt b.\nAnswer: -90*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 5*r**2 + 3*r**2 - 2*r**2 + 5*r.\nAnswer: 6*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 4*g + 17. Let u be p(-7). Are u and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/7 (b) -74.2 (c) -1\/3 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-72)\/378)\/((-4)\/(-14)))\/((-5)\/(-6))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:21 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 162 + 561. Let g = y + -742.57. Let s = g + 20.6. What is s rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*x, -4*g = 22*x - 19*x + 1026382. Round g to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**6\/6 + l**4\/12 - l - 7. Let c(q) be the first derivative of w(q). What is the third derivative of c(x) wrt x?\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(70\/4) + (-1619805)\/(-105) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + u**3 - 3*u)*((-4 + 3 - 1)*(0*u - 10*u - 4*u)*(0 + 3 - 2) + 2*u - u - 2*u + 3*u + 0*u - 4*u).\nAnswer: 26*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 6*-2*sqrt(396)*1)*1)**2 + -4.\nAnswer: -720*sqrt(11) + 57045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 4*w**2 + 6*w + 7. Let l be m(5). Let p = l - 19. Calculate the smallest common multiple of 1 and 4 + -3 - p\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-246 + 87 - 61*n + 193)*(-1 + 1 - 2) to the form j*n + h and give j.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 123291*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 1458947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-166)\/(-249)*28\/35*-27*-5*1.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -27*q + 4680. Is t(0) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 - -4.98. Let k = 85 - 849\/10. Let y = k - 1\/2. What is the third biggest value in i, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1557*p + 1884 = -570*p - 6624 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 21*p**2 - 20*p + 30. Is 12 a factor of v(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -547 + 521 = 2*i. Let h(g) = -g**2 - 12*g + 13. Give h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 94*j**2 + 94*j**2 - j**3 to p*j**3 + b + o*j + q*j**2 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3 - 138*w**2 - 1440*w + 3456 = 0.\nAnswer: -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32.998816 and 164604.\nAnswer: 164571.001184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(143)*-2)\/(sqrt(396)*1 + sqrt(11) - (sqrt(132)*2)\/sqrt(12)).\nAnswer: -16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24257 * 3.\nAnswer: 72771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*1*-5*(sqrt(147) - (sqrt(147) - (sqrt(147) + -3))))**2.\nAnswer: -140400 + 37800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - d - 1. Let f(u) = 35*u**2 + 6*u + 7. Determine f(a) + i(a).\nAnswer: 34*a**2 + 5*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-68)\/12 + 4)*(-141)\/235. Let i(d) = -d**2 - 4*d. Let q(o) = -o**2. Suppose -2*l - 8 = -3*v, 3*l = -0*v + 5*v - 14. Determine h*i(b) + l*q(b).\nAnswer: -3*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from xfkcvlclv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 - -622.16.\nAnswer: 622.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 393 - 293. Suppose 5*k = -0 + o. Calculate the least common multiple of 3 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 6*c + 1. Let z be x(-6). Let h be (8\/16)\/(z\/52). Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/2 - 240\/72*-2*6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 262952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n**2 - 1. Let r(w) = -205*w - 1050. Let t(c) = -17*c - 90. Let s(h) = 3*r(h) - 35*t(h). Determine y(s(z)).\nAnswer: 4400*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 6*g**2 - 2*g + 11. Calculate i(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j - 570. Let w(b) = -b - 114. Determine -3*h(r) + 16*w(r).\nAnswer: 2*r - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 10:55 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 3, m: 1, x: 1, q: 3, j: 3}. Give prob of sequence jyq.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1236670 + 1236665. Suppose -2*t + 20 = 2*t. Sort t, z, -89 in decreasing order.\nAnswer: t, z, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -578, -4, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1735.\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-4 - 12) - (-33 - -13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 6*o + 5*l = -23*o - 315, -7*l - 15 = -2*l for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -3 + 4\/5*a - 2\/15*a**3 + 1\/5*a**2. Suppose j(d) = 0. Calculate d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17 and 6.92677.\nAnswer: 23.92677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {j: 3, i: 6, q: 8, e: 1}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - h - 1. Let o(l) = -l + 2*l + 0*l**3 + 5*l**3 + 2*l**2 + 2 - 3*l**3. Suppose 4*u + u - 5 = 0. What is u*o(s) + 2*w(s)?\nAnswer: 2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-28 + (-2 - -7 - (-13 - -13)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 2*s - 2*j + 30, -5*s + 20 = -j. Suppose 0*n = 3*n - 4*c + 14, -5*c + 35 = s*n. Is 15 a factor of (0 - -37) + 2\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90747615 to the nearest integer?\nAnswer: 9526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*b - 2*b = -22, -3*k + 3*b = 9. Is k != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g - 741 = -13*g. Let l be (3 - 5)\/(26\/g). Solve z + 4*j + 29 = -2*z, l*z + 19 = -2*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -88 (b) 2\/7 (c) -11\/4 (d) -0.083\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977 = -37*y + 3567. Calculate the remainder when y is divided by 41.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a - 2*a)*(a + 0*a + a)*(-a**2 + a**2 + 2*a**2).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*b - 228546 = -191938 for b.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 107004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 5:12 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7310 + 11529. Suppose -2*t = o - n, -t - 2*t + 8439 = 2*o. Let d be 20000\/(-3)*o\/42. What is d rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 0*l**3 + 7\/4*l**4 + 0*l**5 + 0 + 3\/56*l**8 - 11*l + 0*l**2 + 0*l**6 + 0*l**7. Find the third derivative of r(i) wrt i.\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**1*i)\/i)**(-27\/7))**(2\/13) assuming i is positive.\nAnswer: i**(-54\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-70))\/((-256)\/8960). Let y be -3 + 2 + 1 + 6. Solve -y*l + k*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.3 + 21. Let k = 1.6 - 5.6. What is the nearest to -2\/7 in n, -3, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0518+-27\nAnswer: -27.0518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102\/13 - -892\/117. Let r = 0.337 - 36.337. What is the smallest value in r, y, -1\/6, 1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219180 is divided by 36528.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1430*q + 17 = 1426*q, -19 = -3*d + 2*q. Let i(u) = 3*u**2 - 12*u + 17. Calculate i(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -3 - (1\/4)\/(21\/672).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 2990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -16, 4*d + 5 + 5 = 3*v. Let b = v - -17. Solve b = -t + 6*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2. Let l = 212 + -195. Let t(p) = l*p - p + 5*p - 46*p - 2*p**2. Calculate t(w(g)).\nAnswer: -18*g**4 - 75*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 11*s - 17. Calculate i(-9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u - 3. Let z(w) = 28*w - 5. Determine 4*i(r) - z(r).\nAnswer: 8*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 - 237*v - 22154\/5.\nAnswer: -(v + 19)*(v + 1166)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/100 + 24819\/(-10). What is the common denominator of 1\/(-2)*s\/374 and 23\/136?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*u**2 - 201*u**2 - 25 - u + 9 + 10.\nAnswer: 70*u**2 - u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -68*w**2 - 21*w - 92. What is u(-2)?\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 22*p - y - 10 = 0, -62 = -2*p - 3*p - 5*y - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + 4 + (sqrt(220)*-1*-4)\/(-1*sqrt(176)))**2.\nAnswer: -404 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 62, 1\/2, 0.098, 2\/39, -0.4 in decreasing order.\nAnswer: 62, 1\/2, 0.098, 2\/39, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 93897*f**2 + 26*f + 224304*f**2 - 19*f.\nAnswer: 318201*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -625389 and 0.3.\nAnswer: -187616.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 85201303571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3 = r - 8, -11*a - r - 11 = 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -8c2?\nAnswer: 8c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from {w: 1, j: 2, c: 7, d: 1, h: 2, p: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 977290\/561 or 1741?\nAnswer: 1741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4236 (base 8) to base 11.\nAnswer: -1726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*p - 4 = 78*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 386 = -23*q + 25*q, -q - 371 = -2*t. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16435 - 16431. Suppose 12 = 5*b - 3*z, 2*z = 3*b - 5 - 3. Solve b = -0*d - c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j**2 + 982*j - 283. What is the remainder when g(114) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**32\/j**31)**(-21) assuming j is positive.\nAnswer: j**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + 3*f**2 + 162*f**3 + 3*f**2 + 2*f + 2*f**2 - 161*f**3 + 2 as u*f + b*f**2 + p*f**3 + o and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 3*sqrt(243)*-5)**2 + (2 + sqrt(243) + -1)**2*2)*6.\nAnswer: 8316*sqrt(3) + 331128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:46 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 7*u - 8. Let h be z(-9). Solve -6*v = -h*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 34 = 4*v. Suppose -7 - v = -4*f. Find x, given that 0*x + 2\/5*x**3 + 1\/5*x**f + 1\/5*x**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*h**3 + 5*h**3 - 10*h**3 + (-1 + 2 + 0)*(-3*h**3 + 0*h**3 + h**3) + 0*h**3 - h**3 + 3*h**3.\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415500, 1662012, 3739542, 6648096, 10387680, 14958300?\nAnswer: 20359962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -24. Calculate the common denominator of (0 + -10)*((-10)\/(-4) - 3) and 2*2\/f*-194.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*i = -6*i - 367, 4*c + 732 = -4*i. List the prime factors of c\/1564 - (0 + (-29210)\/34).\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -17*m**2 + 281*m + 342. Determine q(18).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*h**3 + 2*f*h**2 + 9*f + 3*h**3 + 8*h - 2 wrt h.\nAnswer: -12*f*h + 4*f + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 246b4 (base 16) to base 5\nAnswer: 14233142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, s: 10, f: 4}. What is prob of sequence ese?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 849, 5, 3 in ascending order.\nAnswer: 3, 5, 849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 36*l**3 - 3*l**3)*(-7*l - 3*l + 11*l) + 3 + 2 - l + l**4 - 4.\nAnswer: -40*l**4 - l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**2 + 90*i = 0?\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*r + 0 - 3 + 229*r in the form x + y*r and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 + -43)*(-14)\/(-42)*(-30)\/4. Solve v - 157 = -3*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1368333 (b) 5 (c) -2\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 8*c + 72. What is the remainder when 44 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*j + 5*j - 9, 0 = j - l - 3. Suppose 3*a - 7*a - 2*b = 10, -3*b = j*a. Let c(k) = -k**3 - 6*k**2 - 7*k - 5. Determine c(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 13222030?\nAnswer: 13222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/a**(-6)))*a)\/(((a\/(a*a\/(a\/a**(-8))))\/a)\/a))\/(a\/(a**(-7)*a)*a\/(a**(-1\/5)\/a)) assuming a is positive.\nAnswer: a**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.823 + 0.923. Which is the nearest to -0.1? (a) 2\/25 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 12:37 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -8. Let y(n) = -5*n**2 - 8*n - 10. Let i(d) = -9*d**2 - 15*d - 19. Let t(l) = 6*i(l) - 11*y(l). Does 7 divide t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 221 - -22?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 22. Solve -20*g + 15*g + y = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-1) - 0)*1. Suppose 4*v = m*z + 6, -10 = -z - 4*z. Suppose -6*s = -v*s - 12. Solve s*q + 5 - 21 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) 3 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175050 is divided by 71.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*c - 144 - 150, -4*f = -4*c + 604. Suppose 4*d - c = -d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 955554*n - 76090287243.\nAnswer: -3*(n + 159259)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-124))\/(10\/8000). Let k = g - -34139\/1240. Calculate the common denominator of k and -57\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**5 - 5*o**4. Let v(c) = 0*c**2 - c**2 - c**4 + 2*c**2 - 2*c**2. Let b(f) = -m(f) + 5*v(f). What is the third derivative of b(h) wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - 2*u + 0*u)*(-76 + 345 + 89)*(-47*u**2 + 13*u**3 + 47*u**2) as x*u**4 + p + d*u + n*u**3 + b*u**2 and give x.\nAnswer: -9308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*d - 21600 = -1200*d for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22 - (1 - 1)) + 1. Suppose 5*s = -m - r, 3*m = m - 6. Which is the third smallest value? (a) 4\/5 (b) s (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13557\/33226 + 46\/1347. What is the common denominator of 59\/6 and c?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 743522780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 476 from -22688.\nAnswer: -23164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.1 - 76. Let c = g - -0.9. Let w = -46.99752 - c. Round w to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2033981?\nAnswer: 53, 38377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**2 - 48928*c - 17325820 = 0?\nAnswer: -11867, -365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 165694833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and 150.8187.\nAnswer: 24.130992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3748948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 120, 0.5, -2, -37, 14, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Let k(u) = u**2 + 2*u**2 + 0*u**b - 4*u**2. Let y(c) = -3*c. Let l(i) = -4*i. Let d(v) = -2*l(v) + 3*y(v). Determine d(k(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -223 - ((-75 - 10) + -62).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -2*sqrt(36)\/sqrt(2) + sqrt(18))\/(sqrt(45)\/(sqrt(5) - (sqrt(80) - sqrt(5)) - sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Suppose -2*w = -9*r + 50, -253*w - 22 = -252*w - 4*r. Determine y, given that -w*y - 4\/9 - 14\/9*y**t = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76956 - 76956.37341. Round n to two dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8981723957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + 6 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -100121221?\nAnswer: -100121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 43\/2 of a century?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -183*12\/(-104)*10. Let o = 211 - k. What is the second smallest value in 5, o, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b - 2. Suppose -3*x = 6, 0*a = 2*a + 2*x - b. Let y(u) = 7 + 2*u - 4 + 0 - 1. Calculate y(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -0.3, 3, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -6. Let y be 6\/(-8) - 3\/12. Let m = 9 + y. Calculate the least common multiple of a and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 25. Let a(s) = -1 - s**2 + 0*s - 6*s - 4 + 0. Calculate a(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 3, 2\/15, -23\/3, -361\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 6*i**2 + 7*i + 3. Let l(h) = -h**2 + 33*h + 52. Let o be l(35). Let b be o\/2 + (10 - 8\/1). Determine k(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuuajkkaukuak. Give prob of picking 1 j and 2 a.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 65*m + 1. Let z be h(1). Let g = z + -52. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-6))\/(4\/(-18)). Let t(i) be the third derivative of -5*i**4\/24 + 89*i**3\/6 - 51*i**2. Let a be t(7). What is the highest common divisor of a and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {b: 2, a: 4, i: 2, z: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188176 or 3198994\/17?\nAnswer: 188176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 3*h**2 - 2. Let u be q(2). Let d(l) = -24*l - 70. Let m be d(-3). Suppose -r = m*x + 3, -9 = -2*x - 2*x + 3*r. Solve x = u*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4996433 and 576745?\nAnswer: 6071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**4 - 6747183*m**3 + 2276225945926*m**2 - 1365730439700*m - 910488759048 = 0. Calculate m.\nAnswer: -2\/5, 1, 674718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1844980100 to the nearest integer?\nAnswer: 42953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 6*d + 100. Suppose -57 = -3*l + 3*u, -2*l + 105 = 3*l + 5*u. What is the lowest common multiple of l and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**8\/336 + a**7\/70 + a**6\/24 - a**5\/20 - a**4\/6 - 41*a**2. Factor f(q).\nAnswer: -q*(q - 4)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874041 to the power of 1\/2, to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1435 - 1419) + 3 + 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3 + 10*z**2 + 0 - 9*z + z**3 - 2*z**3 + 1. Let t be b(9). Suppose t*l = -5*h - 0*l + 41, -h = 4*l - 5. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 28 + 4 + 10\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 13*x + 63 = 0. Let h be x\/(-12)*-13*4. Let c = h + 91. Solve -6 = -2*s - c*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2326, 2328, 2332, 2338, 2346, 2356, 2368?\n\"Answer: p**2 - p + 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 371243513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3238 + 1.3237944. What is j rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(-1 + sqrt(108)) - (sqrt(108) + (sqrt(108) + (-1 + sqrt(108))**2)*-6 + (3 + sqrt(108) + -1 + sqrt(108))**2).\nAnswer: -66*sqrt(3) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/3 - 1386*c + 20840\/3.\nAnswer: -2*(c - 5)*(c + 2084)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (26 - 32 - (-12 - -1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1 (c) -1\/3 (d) -2\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2868*k - 4350 = -2911*k + 5692*k for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2343 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s - 24. Let v be t(-10). Let j be v\/6 + (-4)\/(-12). Solve 0*z - j*z - 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -135.135 + 159003263.\nAnswer: 159003127.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16706551777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4.5. Let u = -1 + j. Which is the closest to -0.1? (a) -5 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6415 - 0.1415. What is the third smallest value in 10, -0.3, y?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30959 + -1.74.\nAnswer: 30957.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -376*n**4 + 8*n + 147*n**4 - 304*n**4 + 37*n**4 + 26 wrt n.\nAnswer: -5952*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*i*m*o - i*m - 7*i + 49634*m*o - m - 155566*o - 3 wrt m?\nAnswer: -38*i*o - i + 49634*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04582563 rounded to five decimal places?\nAnswer: 0.04583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 7:43 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/9 - 152*b\/9 + 104\/3 = 0 for b.\nAnswer: -78, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**4\/2 + 2*k**3\/3 + k**2 + 4*k + 1444. Let v(j) = -5*j**3 + 6*j**2 + 6*j + 11. What is -11*t(y) + 4*v(y)?\nAnswer: 2*y**3 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:50 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**3 - 2*w**2 - 14*w + 38. What is the smallest common multiple of o(3) and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22031+1079262\nAnswer: 1101293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h + 1 + 35 - 15 = 0. Let t be 1\/(178\/(-355)) - -2. Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/34619 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4725 = 60*j + 51*j - 36*j. Solve -66*h + j*h + 3*s = 9, -5*h - 2*s + 6 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*a - 9, 5*j + 3*a - 94897 = 0. Let m = -88577 + j. What is m rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqu when three letters picked without replacement from bqquqqu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-27) - 8\/36 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = 2*u. Suppose -u*l + 2 = -3. Is 2\/9 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.115 + 0.215. What is the nearest to 2\/3 in -2\/251, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164124978 is divided by 82062473.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/16*3780\/(-2205) - 6\/(-8)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f + 12. Let o(h) = 9*h + 34. Give -6*o(p) + 13*v(p).\nAnswer: -2*p - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 309615.2l in millilitres?\nAnswer: 309615200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - 2*v**2)*(2*v - 3 + 3) + (5*v - 3*v + 5*v)*(-3*v**2 + 4*v**2 + 0*v**2).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = -9. Let x(q) = -3*q - q**2 + i*q. Let m(o) = -2*o**2. Calculate m(x(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101943774 + 32056201 = -4*y - 5*r, -2*y - 67000010 = -2*r. What is y rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -132912431 and 0.8?\nAnswer: 132912431.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = -14*l - 1120. Let h = 224 - l. Put 0.5, h, -5\/4, -0.5 in descending order.\nAnswer: 0.5, h, -0.5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 386.\nAnswer: 35512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10991 by 147.\nAnswer: -10991\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - (0 + -1 + -4)) - -19\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2825 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 81, 0, -0.1, 1\/5, -0.2, 17?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 113*b**5 + 20*b**3\/3 - 408. What is the third derivative of n(s) wrt s?\nAnswer: 13560*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) 0.79 (c) 5 (d) 9 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -65 (c) 230 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -303310 rounded to the nearest one thousand?\nAnswer: -303000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + ((1*sqrt(1331) - sqrt(1331)) + -2 - (-4 + sqrt(1331)*1)))**2 + 1 + -1.\nAnswer: -88*sqrt(11) + 1346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h - 33. Suppose -23*k + 298 = 68. What is j(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 2}. Give prob of sequence oq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 10*q**2 + 11*q - 16. Determine r(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 16759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n + 1. Let k be (-27)\/(-8) + (-7)\/((-840)\/(-45)). Let m(u) = 11*u + 2. What is k*m(j) - 2*s(j)?\nAnswer: 9*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353001295 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*h**2 + 131*h**2 - h + h.\nAnswer: 299*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196*a**4*p**2 + 5*a**4 - 2*a*p**2 + 176*a*p wrt a.\nAnswer: -2352*a**2*p**2 + 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w. Suppose 0*i + 16 = -i - 3*s, -11 = -4*i + 3*s. Let r(k) = k + 5. Let p be r(-3). Put i, p, w in increasing order.\nAnswer: i, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**7\/1365 + c**6\/260 - c**5\/195 + 3*c**2\/2 - 2. Let w(r) be the second derivative of h(r). Let w(q) = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 6)*(6*i + 34*i**4 + 187*i**4 + 17*i**4) + 2*i**4 + 7*i - 7*i as c*i + w*i**3 + m + x*i**2 + k*i**4 and give k.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 336*w**2 + 1152*w - 50950. Give i(333).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 14*s + 3. Give d(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 53387*h + 17376*h - 24251*h + 13.\nAnswer: -60262*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4438*p. Let q(v) = 264*v**2 - 11*v - 3. What is q(w(f))?\nAnswer: 5199702816*f**2 + 48818*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/744190 and -23\/520.\nAnswer: 38697880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 21*r**3 - 16*r**3 + r**3.\nAnswer: -33*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 + 12 + -28.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -273391*r + 6*r**2 + r**2 - 3 + 273387*r in the form o*r + n + m*r**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69826 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578 divided by 538960.\nAnswer: -289\/269480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 20. What is the remainder when ((-152)\/12)\/(1\/(-3)) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izr when three letters picked without replacement from {z: 1, u: 2, h: 1, i: 1, r: 1, y: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8332773 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1200 and 240?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (4 + -2 + -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -2 + sqrt(500))**2*2.\nAnswer: -160*sqrt(5) + 4008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + -2.3. Round i to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1777*j**3*n + 239*j**3 with respect to n.\nAnswer: 1777*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112090, -448418, -1008982, -1793782?\nAnswer: -2802818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -85*z - 18. Let o be j(10). Is 23 a factor of ((-1)\/(-2))\/((-14)\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - 0.4. Let v = r - 2.3. Which is the nearest to -0.2? (a) -2\/5 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8060302 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4304 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 30128, 1\/9, 72 in ascending order.\nAnswer: 1\/9, 72, 30128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10668983 to the nearest integer?\nAnswer: 3266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 3*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532\/2298*((-5)\/7)\/((-18)\/63)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 30 = -3*o + 4, -3*o - 5*y + 32 = 0. Suppose -6*t + 58 = -o. What is the highest common factor of 9 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 849 - 891.2. What is a rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106668\/5 + 21334. Which is smaller: t or 11\/705?\nAnswer: 11\/705","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -10. Suppose q = -2*g + 6, -7 + 20 = -3*g + 4*q. Suppose -r - g = -4. Solve d*a = 4*x - x + 14, 2*a - r*x - 11 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21519972.\nAnswer: 2, 3, 29, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -39. Suppose 4*u + 5 + 3 = 0. Let x be (-9)\/(-15) - u\/5. What is the greatest common factor of q and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -50 + 45*t + 2077*t**2 - 2078*t**2 - 10. List the prime factors of o(21).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/30*3)\/((-2)\/(-5))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 10. Let q be b(-9). Let p be q\/3 + 1\/3. Let u = p + 12. Solve 4*x = -0*c + 4*c + 24, 0 = 3*c - x + u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.55 - 11.55. Which is the nearest to 2\/3? (a) w (b) 0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**4\/2 - 2*g**3 + 2*g**2 + 2. Factor d(c).\nAnswer: 2*c*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0982382 nanometers?\nAnswer: 0.00000000982382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90249, -90251, -90253, -90255?\nAnswer: -90257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 3 + -1 - 3. Let r = -2 + g. Let v = -0.65 - 4.35. What is the closest to -1 in v, 2\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -0.1, 4, 6\/13 in ascending order.\nAnswer: -0.1, 6\/13, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g = 33*g + 14*v + 85, g - 14*v - 67 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 12 = -6*i. List the prime factors of 802\/8 - (i\/8 - 1).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/((-680)\/64)*-1*110\/(-616)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903468 is divided by 167?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 31*m - 33. List the prime factors of r(18).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4. Let t = g - -2. Suppose -2*w + 4*r + 24 = 0, -2*r + 8 = 6*w - 2*w. Solve -3*l - 3*n = 6, 0 = 3*l - w*n + t + 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18525 and 99555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 11*s - 5. Calculate n(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2399767913 to the nearest integer?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3324 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*w = 42. Let q be (-3)\/21 - 44\/w. Factor 104*f + 5*f**3 - 88*f + 16*f**2 + f**3 - 2*f**q.\nAnswer: 4*f*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 95942*k**2. Let j(t) = -10*t. Give r(j(o)).\nAnswer: 9594200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) - (-4)\/8. Solve 0 = 2*g - 5*d - l*d - 25, 0 = g + d + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*10895.\nAnswer: -2070.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-12))\/((-3)\/(-27)). Solve -2*s + o*s = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*1*sqrt(63)*5)**2 + 1.\nAnswer: 6296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -969*n + 969*n + 158*n**3.\nAnswer: 158*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:51 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78916.13ml to litres.\nAnswer: 78.91613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 135120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/(-330) + (-8 - (-33)\/(-6) - -14) and -17\/240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6529.\nAnswer: 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (107 + -40 - 30) + (6 - -84).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 12) to base 15\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1653760 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - 2*(2 + sqrt(252))) + (sqrt(252) - (sqrt(252)*2 + -3)))**2 + 3.\nAnswer: 24*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 684.\nAnswer: -1\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.47 - -2.7268. Let v = s + -0.0568. Which is greater: -49 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.31 + 0.21. Which is the third smallest value? (a) y (b) 0.2 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i**2 + 62*i + 2. Let n be j(-7). Suppose -14*g + 805 = -n*g. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2. Let s be (11\/55)\/((-16)\/(-10)). Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 516865 - 293865. Round u to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1359.969m?\nAnswer: 135996.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9277?\nAnswer: 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/20)\/(-1))\/((-1)\/(-10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -14*n**2 - 119*n - 5. Suppose 0 = -0*s - 5*s + 4*a - 52, 30 = -3*s + 2*a. Is j(s) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 15. Determine i(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -11 + 25\/3*y**3 + 5\/4*y**4 + 15*y + 35\/2*y**2. Factor g(u).\nAnswer: 5*(u + 1)**2*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - n**2)*(n**3 - 1 + 1) - n**4 + n**4 + 2*n**5 + (-n - 4*n + 4*n)*(-n**4 + n**3 - n**3) + 3*n**5 + 3*n**5 - 3*n**5.\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5040\/480)\/((-14)\/(-3))*-1.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 10*j - 9*j + 44 = 0, -23 = -3*a + 2*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1105 - -8119. What are the prime factors of d?\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 2*k**2 + 2*k - 2. Let l be m(-4). Suppose -q - l = -11. Which is smaller: q or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -8304 - 23294. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 221221212?\nAnswer: -221221130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*c - 20, -2*c = 2*c + 5*r + 4. Let t be (24\/16)\/(2\/4). Suppose 25 = 5*n, t = 3*f - 5*n + 31. Put c, f, 1 in increasing order.\nAnswer: f, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 165*r**3 + 1318*r**2 + 171*r + 1478. Determine k(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3*w*z + k**3*w + 25*k*z - k + w*z - 30*w - 236*z + 9 wrt z.\nAnswer: -k**3*w + 25*k + w - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30186 milliseconds in nanoseconds?\nAnswer: 301860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 5:00 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/2, 1\/35, -4\/9 in descending order.\nAnswer: 1\/2, 1\/35, -4\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.15 and 24.503.\nAnswer: 24.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32688892, 65377769, 98066646, 130755523?\n\"Answer: 32688877*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*p + c, p + 3 - 2 = -3*c. Let v(m) = p + 3*m**3 + 5 - 3*m - 4*m**3 - 3 + 3*m**2. Let f be v(3). Are -7 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.025, -2, -9099?\nAnswer: -9099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 34. Let b be h(17). Suppose 13*q - 10 = 11*q. Solve b = q*o - 0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.1 + -11.9. Let t(v) = -2*v - 4. Let g(u) = u + 3. Let q(d) = 3*g(d) + 2*t(d). Let y be q(4). What is the fourth smallest value in k, 0, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2834 and 84802?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163605 (base 7) to base 16.\nAnswer: 7f1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o + 915*o = -8852 + 30802 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 1204*v - 181202.\nAnswer: -2*(v + 301)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -11*c + 148. Suppose 15*t + 66 = 5*u + 17*t, 0 = 3*u - t - 44. Let j be a(u). Sort -5, 6, 3, j in decreasing order.\nAnswer: 6, 3, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14490048 by -4.\nAnswer: -3622512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (2 + (-1212)\/102 - -7)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxx. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d - 2*v + 10, 6*v - 2 = 2*d. Let l = 0 - 0. Let w = l - d. Which is the third smallest value? (a) 4\/3 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1bd - -12db?\nAnswer: 14a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 + -176. Suppose 3*k - 259 = f*k. What is the greatest common divisor of 37 and k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*a + 19 - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39135459 to the power of 1\/2, to the nearest integer?\nAnswer: 6256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 16*r - 41. Let m be t(4). Suppose m*c - 838 - 36 = 0. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17152 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -403144412 or -403144411?\nAnswer: -403144412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (350\/(-420))\/(50\/(-6)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 56, 1, -0.5, -1\/51, -1\/5?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35707 + 105344. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 124*m**3 - 2112*m**2 + 7884*m + 9720 = 0.\nAnswer: -30\/31, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l - 30. Calculate the least common multiple of (4 - 1)*3 - -1 and c(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*b**3 + 29*b**2 - 6*b**2 + 120*b**3 + 56*b**2.\nAnswer: 63*b**3 + 79*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggbggggggbggbg. Give prob of sequence ggb.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + 18 - 11*t**3 + (20 + 3*t**2 - 20)*(1 - 4 + 8)*(-1 - 1 + 1)*(-2 + 5 - 2)*(0*t + 2*t + t).\nAnswer: -56*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21848, -24130, -27922, -33218, -40012, -48298, -58070?\n\"Answer: d**3 - 761*d**2 - 6*d - 21082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 3408.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 38*p - 9230. Calculate s(-117).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 3*i**5 + 3*i**5 + i**4 + i**5 - i**4 + (3*i**3 + 0*i**3 - 2*i**3)*(-2 + 2 + i**2) + 2 - 2 + 3*i**5.\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1015 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z + 1493 = 1629 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + p + p)*(5 + 12 + 28)*(4 + 1 - 1)*(-2*p - 1 + 1)*(-3 - 2 + 2) in the form z + c*p**2 + o*p and give c.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 279486118?\nAnswer: 279486118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m + 42 = 0. Let b(s) = s**2 - s - 7. Let t be b(-6). What is the highest common factor of t and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g - 83. Let j = 46 + -28. Let v be r(j). What is the highest common divisor of v and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16550054?\nAnswer: 2, 8275027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7530.459 years?\nAnswer: 7.530459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -1\/2*m**2 - 6*m - 1. Let p be i(-8). Which is the smallest value? (a) -1\/3 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 2414439660*h**2 - 2414439660*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -26, -61, -98, -137?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078)\/sqrt(11) + sqrt(2))**2 + -3*sqrt(2)*5.\nAnswer: -15*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/15218605 and 73\/285.\nAnswer: 867460485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/2370 and -43\/17064.\nAnswer: 85320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -63. Suppose -5 - x = -u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(1\/3))\/u**(-2\/9))\/(u*u**(2\/5)\/u)**(10\/7))\/(u*u**(-8)\/u*u**9)**(-46) assuming u is positive.\nAnswer: u**(2960\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(2\/3)\/o)))**12)**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiijjjji. What is prob of sequence jji?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1239*w - 71. Let y(r) = 413*r - 25. Give 6*p(k) - 17*y(k).\nAnswer: 413*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -3, -5, 1 in increasing order.\nAnswer: -5, -3, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2)*k)\/(k**10\/k)*(k*k**(-1\/5))\/((k\/k**(-11\/2))\/k) assuming k is positive.\nAnswer: k**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21768624697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*l - 15 = -8, 0 = 5*l - 5. Suppose 0 = c - 3*p + z*p - 660000, -4*c + 2640000 = 4*p. Round c to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 113\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.45 + 0.55. Let g = -5 + 4.6. Let z be -1 + (-4 - -10) - 3. What is the nearest to 1\/2 in j, g, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.6878575 to 3 decimal places.\nAnswer: 5.688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 - 5*l + 5*l. Let w(v) = -278*v + 406*v - 88*v. Give i(w(r)).\nAnswer: 6400*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2 - -2)*-14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000157735 rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 21 - (4 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 - 14*a**2 - 2*a**2 + a**2.\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 22621*m - 264. Calculate x(0).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.054281 - 6486.\nAnswer: -6483.945719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 205 divided by 1028.\nAnswer: 205\/1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 162173.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1565944 (base 10) in base 5?\nAnswer: -400102234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3658 + 3658 - 3*t**2. Let a(h) = h**2 + h - 1. Let u(i) = -15*i**2 - 3*i + 3. Let w(g) = -3*a(g) - u(g). Calculate w(d(r)).\nAnswer: 108*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5419.\nAnswer: 5419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**2\/2 + 13. Let x(c) = -c**2 - 4*c. Let q(s) = 4*u(s) - x(s). Let g(r) = 33*r**2. Give g(q(y)).\nAnswer: 33*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Let f(o) = -4*o**2 - 2. Give l(f(c)).\nAnswer: 16*c**4 + 16*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 8 - 2)*(0*u - 3*u + 0*u).\nAnswer: 57*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + 0.14819693?\nAnswer: 58.14819693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 60*v**2 - 15*v + 5. Let j(k) = 59*k**2 - 18*k + 6. Determine 6*c(n) - 5*j(n).\nAnswer: 65*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 6. Let o(f) = -5*f + 13. Let y(d) = -6*o(d) + 13*w(d). Let t(m) = -m**2. What is t(y(x))?\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 - -13512b?\nAnswer: 135155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, o: 11}. Give prob of sequence mm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than -44376\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19345 or 19364?\nAnswer: 19345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1535*g**4*i - g**4 - 5*g**2*i + 2*g*i + 7*g wrt g.\nAnswer: 36840*g*i - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -10. Suppose -l*p = -3*p - 111. Let j = p + -22. Calculate the highest common factor of 45 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 11, j: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 123130133131?\nAnswer: -123130133122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.563 - 1.437. Sort y, 0.1, -5, 0 in increasing order.\nAnswer: -5, y, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-46*3)\/((-2)\/21*3). Let u = 945 - s. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 - 449*g - 12406. Determine q(85).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 704.13 to 0 dps.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14259.\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d\/((d**(-1\/4)\/d)\/d)*d))*d**(-6)*d**(1\/3)*d*d\/(d\/((d\/(d*d**0\/d))\/d)))\/((d*(d\/d**(-1\/2))\/d)**(1\/40))**(6\/19) assuming d is positive.\nAnswer: d**(1303\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -711\/8. Let h(k) be the third derivative of -k**6\/120 - k**5\/6 - k**4\/3 + 5*k**3\/3 + 6*k**2. Let r be h(-9). Is p at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 2. Suppose 3*s - 2*s - 7 = 0. Suppose -h - 7 + 3 = 0. Let x = s + h. Let n(f) = -2*f - 1. Calculate x*i(t) - 5*n(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q**2 + 3*q - 1. Let h be a(-4). Suppose -4*p + 66 = 2*p. Calculate the greatest common factor of h and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -57, -59, -61, -63?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131665 is divided by 4829.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70.5 + 5.5. Let a = b + -273. Let u = a + 197.00143. Round u to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18459 is divided by 8714?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -81. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*v - 25. Suppose 4*t - 22 = 2*u, v*t - u - 20 = -t. Let i = t + 63. Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 0.2, -3 in increasing order.\nAnswer: -4, -3, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2264*q**4*t**3 + 4*q**4 - 2*q**3*t**3 + 2*q**2*t**3 + 3*q**2 + 16527*t**2 wrt q?\nAnswer: -54336*q*t**3 + 96*q - 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -924*v**2 - 35*v + 107672 wrt v?\nAnswer: -1848*v - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 468 - 762. Let c = -5 - -1. Calculate the remainder when f\/(-8) - 1\/c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-23 - -33) + -4 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 176? (a) -4 (b) 1\/5 (c) -1 (d) -3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 19 - 1 = 0. Suppose w*m - 63 + 36 = 0. Calculate the greatest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 22369*c. Let j(s) = -8*s**2. What is n(j(d))?\nAnswer: -178952*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 858002 to the power of 1\/2, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 21. Let q be 2\/(-4) + 399\/14 + -7. Calculate the greatest common divisor of q and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/325006 and 53\/310233?\nAnswer: 6825126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*y + 25 = 0, 2*z + 0*y - 3*y + 42 = 0. Let l be -1 + 1\/((-3)\/z). Let n be 9\/(9\/l) + -4. Solve n = 4*k + 6 + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2705.\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 314\/231 + -2\/77. Let m be 3 - (3180\/102)\/10. What is the smallest value in m, 0.05, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 784645?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3 = -3. Suppose -16 = -h*y + 59. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*q - 355 - 5 = 0, q + 247 = 2*f. Suppose f = 6*l + 38. Solve l = -w + 4*m + m, 20 = -4*w + 2*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**2 - q - 3. Let l(b) = 13 - b**2 - 19 + 6. Let n(k) = 6*l(k) - x(k). What is the second derivative of n(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10\/(f\/f**(-2\/9)*f))\/(f**9)**(-1\/5) assuming f is positive.\nAnswer: f**(431\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**3 + 2*d**2 + 3*d + 5. Let t(k) = k**3 - k**2 - k - 1. Let q(s) = -3*m(s) - 15*t(s). Determine z so that q(z) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y - 1. Let i be t(1). Suppose -1 = -4*n + i. Suppose -11 = -v + n. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -32. Suppose -2 = 3*q - z. Suppose -15 = -7*j + q*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1204702.\nAnswer: 6023510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*l - 12 = -88*l. What is the remainder when 431 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, i: 1}. Give prob of sequence oo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 745, 784, 841, 910, 985, 1060?\n\"Answer: -t**3 + 15*t**2 + t + 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 298*j**2 - 22960*j.\nAnswer: 2*j*(j - 56)*(j + 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 2. Let r(d) = 2*d**3 + 10*d**2 + 2*d - 16. Let c(s) = 2*g(s) - r(s). Let b be c(-5). Solve 3*a = -5*x + 16, 3*x = -5*a + 2*x + b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 616, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 1135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 278, -110975 in increasing order.\nAnswer: -110975, 2, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3132132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 123534 a multiple of 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 3, j: 3, x: 2, t: 5}. Give prob of sequence jx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4\/4 + 15986*p**3 - 3577781*p**2\/4 + 1692977*p\/2 + 1756920 = 0.\nAnswer: -1, 2, 55, 63888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2536 - -22.\nAnswer: -2514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010 - 10?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**3 + 8*b**2 - b - 8. Let z be p(-9). Is (2\/4)\/((-2)\/z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfwddaawfww. Give prob of picking 2 d and 2 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -8. Let v be (1\/(-2))\/(c\/384). Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 740\/(-140) + (4 - -1). Sort 3\/7, 4, m, 2.\nAnswer: m, 3\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44.064 - 0.064. Let t = o - 44.01. Let i = -5.01 - t. Which is the fourth smallest value? (a) i (b) -1 (c) 0.6 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17730330439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.9 - -23. Let j = 11.1 - m. Let c = j + -10.0054. What is c rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 5*(3*sqrt(72) - sqrt(72)))*-5 + 4 + -3*sqrt(72) + sqrt(72) + 0)**2.\nAnswer: -2736*sqrt(2) + 233944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5218 + 1118. What is w rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(6\/(-2)))\/(1\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 1 - 21. Suppose b*p - 2 = 10. List the prime factors of -2*(p\/(-2) - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 874*i**3*q**2 - 2*i**2*q**2 + i**2*q + 15*i**2 - 91*q**2 wrt i?\nAnswer: 5244*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 546 = -10*k. Let j = 273 - k. What is the greatest common factor of 26 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14322 * 0.802\nAnswer: 0.11486244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/(d*d*d**(-5)))\/(d**4\/(d\/d**(2\/15))))\/((d**(2\/3)*d\/d**(1\/2))\/(d**(-2\/9)\/(d\/((d*d**(-5\/4)\/d*d)\/d)))) assuming d is positive.\nAnswer: d**(-499\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 211365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**3\/3 - k - 9. Let g(w) be the second derivative of -w**4 + w. Determine r(g(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 3*w**2 + 3*w - 1. Let i be -6*(7\/(-3) + 3). Let o be p(i). Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnpnpnpnpn. Give prob of picking 2 n and 2 p.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 13904.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19333.702 - -19334.50199992. Let j = -16.8 + 16. Let k = j + m. Round k to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31075747763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 888 and 543086?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 2:40 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -97 in 6, 12\/5, -0.1, 331?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**2 + 11*z + 5. Let t be w(10). Let g be 70\/1*(-132)\/24. Is g equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56764222 + -71239102237\/1255. Let s = 5\/502 - a. Calculate the common denominator of 99\/4 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -90\/853, 27, 0.2 in ascending order.\nAnswer: -6, -90\/853, 0.2, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 6. Let s(h) = h + 4. Let a(t) = 2*q(t) - 3*s(t). Let r(o) = 156*o**2. Calculate r(a(m)).\nAnswer: 1404*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 601 + 453 = u, 5*u = 5*v - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 14*b + 5 = 0. Let d be (0\/(-3))\/(4\/(-4) - b). Sort -0.1, -0.4, d in increasing order.\nAnswer: -0.4, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + n + 3*n - 7 = 0, 0 = 5*c - 4*n - 1. Let f be (1\/(-3))\/(-2*c\/12). Let a be (54376\/12 + f)\/(2\/15). Round a to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**4\/2 + 69*u**3\/2 - 429*u**2\/2 + 363*u\/2 = 0?\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**2 + 16. Suppose -11 - 21 = -8*g. Let f(h) = -g*h + 2*h - 7*h + 4*h. Determine n(f(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 10*i - 5*i - 42283, 2*w - 84521 = 5*i. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 k when four letters picked without replacement from {b: 10, k: 1, q: 7}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-295)\/(-35) + -2*3\/14. Let k be (6\/(-5))\/(3\/(-80)). Calculate the greatest common factor of w and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3*n + 6*n)*(3*n**2 - 7*n**2 - 8*n**2).\nAnswer: -36*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 9*d + 11. Let q(y) = -y**2 - 9*y - 14. Calculate -2*a(n) - 3*q(n).\nAnswer: -n**2 + 9*n + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 - 24 = 10*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 116 (c) 0 (d) 2\/7 (e) 4 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 426 + 194. Calculate the greatest common divisor of 20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 76*b + 14. Calculate y(59).\nAnswer: -989","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/11 (b) 1\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9551*v*y**4 - 4436528*v + 15*y**4 + 3*y**2 with respect to y.\nAnswer: -38204*v*y**3 + 60*y**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (0 + sqrt(17))**2 - (-2*sqrt(170))\/sqrt(10)) + 6*sqrt(119)\/sqrt(7)*-6.\nAnswer: -34*sqrt(17) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4422*f - 221100. Give n(-50).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2135 = -2*q + 2467. Let t be (40\/12 - 4)*(0 - 2337). Let k = q - t. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 + 43*d**2 - 4*d + 2. What is the remainder when m(-21) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - -25. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962254653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Suppose -s - 4*s = -q*s. Let k be s*(20\/(-6) - -3) + 0. Is 2\/43 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/192*-9 + (-3736)\/(-64). Solve -52*a = -z*a + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(-4) - (18\/24 + -1). Let v be 11100\/(-2912) + n\/7. Let k = v + -85\/52. What is the common denominator of 19\/11 and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160 - 155. Let d be ((-114)\/(-5))\/((-6)\/(-20)). Suppose d = -r*x + 956. Calculate the highest common divisor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/9990 and 53\/182040.\nAnswer: 1638360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000092091023 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102217 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 19*z**2 - 98*z + 1013. List the prime factors of u(-50).\nAnswer: 31, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-8) + 119\/68 + -2. Put 9, 4, -5, q in decreasing order.\nAnswer: 9, 4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 7*d**2 + 6*d. Let z be c(6). Let l be (z - -1)*(-5 + 4). Calculate the common denominator of -83\/2 and (85\/8)\/1 + l\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329033769*y - 329033769*y + 6*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3177175 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - 3*q**2 + q**2 + (-q + 0 + 0)*(2*q + 0*q - q) + 57*q**2 - 1121 + 1121.\nAnswer: 55*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (47\/(-4) + 1)\/((-5)\/100)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m. Let t be i(1). Suppose -5*f = 3*h + 18, -h = t*f + 2*h + 6. Is 0 + 81 + f\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.079 and 62255.\nAnswer: 62255.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2750392*k**2 - 2750390*k**2 - 2750358*k**2 + 8251142*k**2 + 171 - 171.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.85 - 0.15. Let j = f - -9. What is the nearest to 0.1 in j, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(52) + 3 + -4 + 1 + (2 + sqrt(637) + -4)*-2)**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96117, 96118, 96119, 96120?\nAnswer: 96121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 6:46 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/8)\/(-216))\/(((-195)\/(-60))\/(-13)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -39, 63, 207, 393?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 + 196. Find the second derivative of -17*f + l*f**3 - 4881*f**2 + 4881*f**2 wrt f.\nAnswer: 420*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (13 - -6) - (19 - 16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 83*c + 166. What is h(-1)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1242 + -311?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 980401.9mg in micrograms?\nAnswer: 980401900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/11163360 and 67\/67080?\nAnswer: 480024480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.280283 to three dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -19) + (-3 - (-1 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z - 29. Let j be n(-7). Let p = 61 - j. What is the highest common divisor of 41 and p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*i = 10, 4*y + i - 9 = 2*y. Solve -4*q - y = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 52995 + 511017 = 4*m, -5*g = 5*m - 704985. Suppose -m = -0*x - x. Round x to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 736*i - 420. Let r(h) = -493*h + 280. Let g(y) = -7*r(y) - 5*z(y). What is the derivative of g(o) wrt o?\nAnswer: -229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/((52\/936)\/((-1)\/(-9)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2539 is divided by 170.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1112*b + 7. Let u be i(-1). Is u < 1119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 6*t + 550. Let y = t + -95. Suppose -4224 = -k - y*k. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**4\/36 + 10*j**3\/9 - 17*j**2\/2 + 306*j. Find q, given that x(q) = 0.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 99584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/74 and 101\/8.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16671 - -16666. Suppose -2*m + 12 = -0*m - 4*w, w = -2*m - 8. Sort -23, 0.4, z, m.\nAnswer: -23, z, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - 51. Let r = k - 34.78. Let g = r + -0.22. What is the nearest to g in -1\/6, 1\/8, 2\/17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 6.65406?\nAnswer: -6.45406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -3280924?\nAnswer: -3280926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (171\/36 - 4\/1)*(-1661160)\/(-11430).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 + 103. Let q(h) = -17 + 10 + 5 - 19*h. Is q(j) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q = -3*b - 15, 3*q + 3*b + 9 = 0. Let i be (104\/(-12))\/(4\/q). Suppose 0 = -2*g + 3*d + 6 + 45, -g + i = -4*d. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 440\/77 + -6 - (-23)\/7. Let v(o) = 5*o - 17. Let c(x) = -2*x + 6. What is h*v(f) + 8*c(f)?\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.4 - 0.1. Let a = s + -2.5. Let i = a - -10.754. What is i rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + s + 1. Let w(p) be the second derivative of p**5\/5 - 2*p**4 + 4*p**3 + 12*p**2 + p. Let d = 1686 - 1685. Give d*w(i) - 24*q(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -187, -385, -631, -907?\nAnswer: -1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3 = -23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18422266 - 10805466. What is l rounded to the nearest 100000?\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -189*n + 0*n**5 + 13*n**5 + 184*n wrt n?\nAnswer: 260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -2, 108, 2 in descending order.\nAnswer: 108, 2, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6340*q**2 - 1 + 2968*q + 0 - 3173*q**2 - 3168*q**2 in the form j*q**2 + v + y*q and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54.66089*-0.4.\nAnswer: -21.864356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**0)**(7\/2)*p\/(p\/(p**(4\/3)\/p)*p)*p**3 assuming p is positive.\nAnswer: p**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*n**4 - 10*n**3 + 10*n**3 + 0*n + 0*n + n**4 + (0 + 0 - n**2)*(0*n**2 + 2*n**2 - 3*n**2) as r*n + a*n**4 + u*n**3 + s*n**2 + x and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let t(j) = j**2 - 10. Let q(u) = t(u) - 2*z(u). Calculate the remainder when q(-9) is divided by 2\/(-5)*-45*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1744668, -3489408, -5234150, -6978894, -8723640, -10468388?\nAnswer: -12213138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13433 = -9*z + 3559. Is z a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.7 + 2.69. Suppose -2*z - j - 3*j + 6 = 0, -5*z = -3*j - 15. Let c = 0.2 + 0.3. What is the biggest value in z, c, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12103131+-294273\nAnswer: -294273.12103131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q*q*(q\/(q\/((q*q*q**(-1\/5))\/q)))\/q*q*q*q)**(-3\/29) assuming q is positive.\nAnswer: q**(-57\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2646*a - 2643*a + 3 - 22)*(-2 + 4 + 2) - 2*a + 2*a + a to k + n*a and give k.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - d + 41 + 94, -80 = -r - 3*d. Which is smaller: r or 74?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 r when three letters picked without replacement from srrgsrrssss?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 3:54 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17840*c + 8908*c + 8932*c + 3 - 3*c**3 - 3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 64 - 31 - 33 + 889*s as y*s + m and give y.\nAnswer: 889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 41506479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252, 233, 214, 195?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - p = -83, u - 2*u + 27 = -p. Let a(f) = -2*f - 20. Suppose -12 = m + 4. What is the lowest common multiple of u and a(m)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/17*5\/10\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 divided by -62?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*r**2 - 54*r**2 + 36*r**2 + (0 - 3 + 1 + (-2 + 3 + 0)*(0 + 5 - 2))*(16*r**2 - 6*r + 6*r).\nAnswer: -53*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3)\/(0 - (-1)\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 4*v + 1506. Let o(f) = f - 376. Give 4*l(n) + 17*o(n).\nAnswer: -4*n**3 + n - 368","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -525*r**2. Let n(d) = 13*d. Give q(n(t)).\nAnswer: -88725*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12052a7 (base 12) in base 6?\nAnswer: -202505531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2723201 to the power of 1\/2, to the nearest integer?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8196 is divided by 4094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7752 and 224979.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 378?\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83007?\nAnswer: 3, 23, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -33*f - 10*f - 21*f. Let p(j) be the third derivative of j**4\/12 + 15*j**2 - j. Determine l(p(y)).\nAnswer: -128*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9\/7*((-8)\/(-20))\/(27\/15)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 1 + 0 - 2*a - 2*a + 1 + 2*a**2 - 1 + (24*a + 12*a - 7*a)*(-3*a + a + 4*a) + (-4 - 1 + 4)*(2*a - 2*a - 2*a**2).\nAnswer: 64*a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j\/j**(-5)*j))\/(j\/(j**(-12)\/j)))**(1\/21))**46 assuming j is positive.\nAnswer: j**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -168, -251, -334, -417?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 165690*c**2 - 1373486880*c - 13718304800.\nAnswer: -5*(c + 10)*(c + 16564)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 11:36 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - d**3 - 3*d**2 + 6*d - d**2 - 4. Let w be a(-5). Suppose -10 - w = -n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 287073383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 1287?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/3 >= -2.813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.0305 rounded to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 2:13 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v\/(v*v*v**(-1)*v))\/v)\/v)*v*v*v)**16)**(7\/2)*((v**1)**(-1\/18))**(-1\/42) assuming v is positive.\nAnswer: v**(296353\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(-5*k + 20*k + 2*k).\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48223489 + 7*b + 48223489.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s**4 + 0*s + 116\/3*s**2 - 2\/3*s**5 - 78*s**3 + 0 = 0. What is s?\nAnswer: 0, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i - 6. Let r be m(3). Solve 8*t - 6*t + 10 = r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 6. Determine r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 2*x + 35)*(-2 - 3 + 4)*(2 - 2 - x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1761717 is divided by 1026?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 322713*f**5 - f**2 + 76531 wrt f?\nAnswer: 19362780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -22, -35, -48, -61?\n\"Answer: -13*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2599 and 904?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1964006 is divided by 147.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 16*o + 11. Is w(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3 - -1) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 2620618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 11*w + 15. Let x be c(12). Suppose -x*l = -8*l + 95. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 117, 179, 243, 309, 377?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3729*d**3 + 5539.\nAnswer: 11187*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1313.55008.\nAnswer: -656.77504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -280*w - 3*w**2 + 282*w + 8 + 1 + 10*w**3. Let u(h) = -h**3 - 1. Let p(o) = -2*k(o) - 18*u(o). Determine l, given that p(l) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 99 = 101. Let y be (w - -1) + 10\/5. Let c(g) = -9*g + y*g - 2 + 4*g - 9*g**2. Let h(k) = k. Calculate c(h(m)).\nAnswer: -9*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfoqwdqkd. What is prob of sequence fow?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 33. Let f = g + -24.78. Let p = 0.2209 - f. Round p to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253633333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2281ad - 214?\nAnswer: -2283c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 5471*w**6\/30 + 5915*w**3\/6 - 17*w + 246. What is the second derivative of b(i) wrt i?\nAnswer: 65652*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 2*k - 4. Suppose -2*c + 8 = 5*f - 3*f, 3*c - 22 = 2*f. Let t be (-16)\/(-3) - (0 - (-2)\/c). Determine u(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 1. Let x(u) = u**3 - 8*u**2 + 4*u + 3. Determine 3*t(n) - x(n).\nAnswer: -n**3 + 2*n**2 - 4*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4965494128?\nAnswer: 2, 7, 37, 109, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 15 = -d, 2*d - 14 - 7 = -5*v. Let x = d + -1. Suppose -9 = -x*b - a, 0 = 4*b + b - 5*a. Solve 0 = -0*q + b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 5*h + 56, -1689 = 5*z - 3*h - 1771 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfzzkk. What is prob of sequence dz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 8.2. Suppose -5*d + 3*q = -0*d + 29, 3*d + q = -23. Which is the smallest value? (a) r (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -52. Let a be ((-1)\/((-4)\/(-3)))\/(t\/12). Let x be (1\/(-4))\/(a\/36*-1). Put 5, -2, x in ascending order.\nAnswer: -2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*6\/(-40))\/(1 - 4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 6 - 3 - s + 0*s. Suppose 5*q + 13 + 25 = -p, -p = -4*q - 25. What are the prime factors of o(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6987 and 1233.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**2 - 14*b - 96 + 6 - b = 0. Calculate b.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-4)\/(-70)*-1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*f + 10 = 2, 3*k - 2*f = 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (330\/228 + ((-81)\/18 - -3))*(0 - -3)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.7 and 8?\nAnswer: 29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.8 - 1.8. What is the smallest value in z, -0.12, 5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*w + 313, -4*a = -3*w + 7*w - 252. Which is greater: w or 61?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 756 divided by -9.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 12 = -3*i + r, 4*i + 28 = -3*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37055850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -3, 2\/15, 67, -2, 5, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 11*z**2 + 9*z + 10. Let m be t(10). What is the hundreds digit of 883 - (-2 + -2 + m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122000020101201 (base 3) to base 14.\nAnswer: -12b4224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/61421290 and -8.\nAnswer: 61421290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 9:33 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {m: 4, t: 1, f: 8, d: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*q + 2*f - 20, 4*f = 2*q - 8. Suppose 2*m + 0 = -2*n + q, -2*n + 24 = 5*m. What is the lowest common multiple of 24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 6\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 191*x = -225*x - 2424 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -5 (b) 2 (c) -29\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*m + 14*m + 10*m)*(-3 - 1 + 2).\nAnswer: -84*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4278914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64379938 divided by 1.\nAnswer: 64379938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5645141?\nAnswer: 113, 49957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 6*y - 7. Let b(z) = z - 1. Suppose a - 3*d + 8 = 0, 4*a + 5 = 5*d - 6. Let m(i) = a*s(i) - 6*b(i). Find the first derivative of m(l) wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3\/2, 4.91, 16\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -39*v**2 - v. Let w(m) = 1075*m - 3. Calculate w(g(p)).\nAnswer: -41925*p**2 - 1075*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i + 5943 = 1907941 + 604227. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 11*j - 5*n = 496, n = j - 164. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-30)\/945*21*18\/(-16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, -5385, 0, -2\/9, -4?\nAnswer: -5385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*d - 52*d**2 + 23*d**2 - 17*d in the form l + z*d + g*d**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(770\/(-33))\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 260288 and 3.\nAnswer: 260291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 6*y + 9. Let f be (-28)\/(-12) + 4\/6. Suppose 0 = -2*l - 5 + 1, -f*p - 5*l = -8. What is the units digit of k(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -105, 0.033, -1, 0.3, -5\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 632 divided by 4\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13907 + 13907.12954. Let t = 0.13 - h. What is t rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.8. Let o = 3 - -1. Let r = -3 + o. Which is the nearest to s? (a) -1\/3 (b) r (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 858 - 252 = 0. Calculate the remainder when 1169 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1539930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23.8, 799, -1\/8?\nAnswer: 799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-60)\/(-18))*8\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 797002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(18\/58)*3. Let d be (3\/(-10)*-38)\/(69\/345). Let t = d + a. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8857*n - 151197 - 265082 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 224849\/59 - 4\/(4 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34*(-3)\/(-18))\/((-19)\/1026). Suppose -j + 5*f - 2*f = 0, 3*f = 0. Let u be 2 - j - (1 - 33). What is the highest common divisor of d and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15847\/(-69)*-63*(-28)\/3822\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 659, 659, 669, 695, 743, 819?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991018 is divided by 410?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32 and 9.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -180 + 270. Let l be -25 + -15 + (1 - 0) + 1. Let a = j + l. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u - 1. Let r be 20\/2*(-2)\/4. Let c be g(r). List the prime factors of 1*(c - 3 - 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + 27 + -12 + -8 + -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 21. Let t be m(10). Let c = t + -11. Solve -5*i + 2*i = 3*r - 15, -3*r + 12 = c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - ((-290)\/(-35) - (-20)\/(-70))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(32)*5 + 1*(-3 + sqrt(2)*-1)))**2 + 3.\nAnswer: -608*sqrt(2) + 11571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 16*v**2 + 20*v + 8.\nAnswer: 4*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210210122200 + 111?\nAnswer: 210210200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 122844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(-1 + 1*2*(sqrt(325) - (sqrt(325) - (-1 + sqrt(325) - sqrt(325)))))*3)**2*2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6562 - 2.1.\nAnswer: 6559.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -2.85?\nAnswer: 2.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = 0. Solve -3*w = l + 11, 5*l - l - 4*w - 20 = i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*x**5 - 457*x**3 - 60*x**2 - x - 2553?\nAnswer: -4740*x**2 - 2742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 651.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4776 divided by -24?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(21)\/(sqrt(14)\/(sqrt(4)\/sqrt(2)))*1 + -3).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-258)\/8*(-12)\/(-18). Suppose 0 = 3*s - 0*s + 4*b - 175, 0 = -2*s - 4*b + 114. Let i = s - k. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2799*w**3 - 14*w**2 + 14*w - 1999. Let p(m) = -1399*m**3 - 8*m**2 + 8*m - 999. Let c(r) = -4*h(r) + 7*p(r). Differentiate c(g) with respect to g.\nAnswer: 4209*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 31 = -2*k - 6*j, 0 = 3*k + 2*j - 19. Suppose 0 = w - 3*d, w - 12 = 6*w - k*d. Is 17 a factor of 16 + 0 + (-3)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2 - 138*n - 56. Calculate t(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3188, -3199, -3220, -3257, -3316, -3403?\n\"Answer: -l**3 + l**2 - 7*l - 3181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12325*b**2*r - 11*b**2 + 146*b*r - 2*b - 789887733*r with respect to b.\nAnswer: -24650*b*r - 22*b + 146*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**2 + 8*c - 31. Give h(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3)*n*n*n**(-1\/10))\/(n**(-5)*n*n**(-1\/4)*n*n*n))\/(n*n*n*n\/(n**2\/n)*n*n**(2\/11))**(-24) assuming n is positive.\nAnswer: n**(68759\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 8201644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/84 and 71\/2373?\nAnswer: 9492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 1207874.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47114019*s**4 - 58394871 wrt s?\nAnswer: 188456076*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1 + (0 - 4 + 3)*(-6 - 3 + 6) + 6 + 9 - 8)*(-6*q + 0*q + 7*q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42946 or 1\/6790?\nAnswer: -42946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 1 + 5 - 308*x.\nAnswer: -308*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 5390.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14 + -11)*(1 - 3)\/36. Which is the closest to -1? (a) w (b) 2 (c) 0.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**4 - 3*l**4 + 4*l**4)*(201 - 312 + 162) in the form u + a*l**4 + c*l**2 + z*l**3 + o*l and give a.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*v**4 + 2*v**2 + 53*v - 5289.\nAnswer: 124*v**3 + 4*v + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*-2*sqrt(85) - (sqrt(85) - (-1*sqrt(85) + sqrt(85)))*5)\/(-4*((sqrt(605) - (sqrt(605) - sqrt(605)*2)*5) + sqrt(605) + sqrt(605))).\nAnswer: 3*sqrt(17)\/352 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 177, 55 in increasing order.\nAnswer: 5, 55, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153122 - -3?\nAnswer: -153115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -f + 50, 3*w + f = -f + 40. Let m be -21*-1*w\/14. Suppose -5*k = -2*h - m, -5 = -k - 1. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -180, -202, -242, -306, -400, -530?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3*t = x - 4, -2*x + t = -8. Let w(s) = -s**2 + 35*s - 26. Let y(a) = 4*a**2 + 30*a. Let g be y(1). Let m be w(g). Solve -m = -p - x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 147 = 6*m. Let r = m - -186. Is r a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 604212209 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**7\/735 - n**5\/210 - 25*n**2 - 4*n + 2. Let t(z) be the first derivative of o(z). Determine x, given that t(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-124)\/(-8) + -4). Let a = r - -38. Solve 0 = 7*z - 2*z - a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/12 and -79\/496818.\nAnswer: 993636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 996, -5, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-8)\/((-8)\/2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 1)\/((16\/(-4))\/(-16)). Solve -4*l = -5*z + 11, 4*l = i - 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -572, 93, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -123 (b) -0.838 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**4. Let x(q) = -q**3 - 5*q**2 + q + 4. Let l be x(-5). Let c(d) = -9*d**4 + 5. Let p(s) = l*c(s) - 4*o(s). What is the derivative of p(a) wrt a?\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5455967 - -973482\nAnswer: 6429449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 3*j + 196. What is the remainder when j is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-8)\/(-3)) + (-93)\/54.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59905 or 3037?\nAnswer: 59905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from pnnblsnlsssa.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i - 5*i - 13*i + 65 to the form v*i + f and give f.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 - 2*i + 3. Let d(w) = 7*w**2 + 4*w - 7. What is -2*d(h) - 5*z(h)?\nAnswer: h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -150 - 63. Let k = 438 - x. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(0 - 2*t**3 + 0) + 0 + 0 - 3*t**3 + (-2*t**2 + 5*t**2 - 2*t**2 + 7*t)*(7 - 7 + 6*t)*(2 + 0 + 2).\nAnswer: 17*t**3 + 168*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 366*v**2 - 135*v - 611. Is b(30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-2)\/90*-3). Solve u = -3*z - 0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**5 + 24*p**4 - 3*p**3 - 204*p**2 - 252*p = 0.\nAnswer: -7, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7699509 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13867*q**5 - 2*q**4 + 2*q**3 + 55*q**2 - 63*q - 7.\nAnswer: -832020*q**2 - 48*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*g**4 + 2*g + 14.\nAnswer: 612*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 160*y**3 - 17*y**2 + 34*y - 8. Let c(g) = 3*g**3 - g**2 + 2*g - 1. What is 51*c(k) - 3*r(k)?\nAnswer: -327*k**3 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 54*i + 159. Let x be b(-3). Sort x, 0.06, -6.\nAnswer: -6, x, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3\/2 - 1265*q**2\/2 + 137691*q + 418752 = 0.\nAnswer: -1454, -3, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439.16928 rounded to 1 decimal place?\nAnswer: 1439.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37287581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(1728))\/sqrt(6) - (((sqrt(36)\/sqrt(24) - sqrt(6)) + sqrt(6))\/sqrt(3))**2*-2.\nAnswer: -24*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 12*b - 9. Let a be t(11). Suppose n - 5 = -a. What is the second derivative of 82 + n*y + 4*y**2 - 82 wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -9, -22, -31, -30, -13, 26?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2643*h**2 - 7929*h - 15858. Let z(p) = -3*p - 6. Determine -s(a) + 2643*z(a).\nAnswer: 2643*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (1 + (-2 + sqrt(192) - sqrt(192))))*3 + -3 + sqrt(192) + -1*sqrt(192)*-2)**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356639677?\nAnswer: 1609, 221653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4333 (base 9) in base 13?\nAnswer: -15b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 7*r**2 - 31*r - 48. Let n be h(4). Solve 5*v + 17 = n*s, -40*s + 21 = -5*v - 38*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70.9 + -71. What is the closest to a in -0.5, 16, -3\/2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f*i*t - 15091*f*i + 1064*f*t**2 - 216*f*t - i**2*t**2 + t**2 wrt i?\nAnswer: f*t - 15091*f - 2*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 675.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:02 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 733225, 733235, 733245, 733255, 733265?\n\"Answer: 10*k + 733215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.81553l in millilitres?\nAnswer: 59815.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-9)\/(-3))*3. Suppose -m - 84 = r*m. Put -2, 0.2, m in increasing order.\nAnswer: m, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -14, -24253, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 1167*(-2)\/3. Let t = h - 5449\/7. Find the common denominator of 16\/24 + 0 + 18 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61702995553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**5\/15 - a**4\/24 - 5*a**3\/6 - 85*a**2. Let o = -14 - -20. Let c(p) = -5*p**2 - p - 6. Give o*n(z) - 5*c(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 282\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 297 and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10049209?\nAnswer: 983, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*y - 143 - 82. What is the remainder when 119 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26 - (1 - (3 + -4)). Let q be 2\/12 + 45840140\/l. Suppose 0 = -b + 4*h - 1909988, -q = b + 2*h - 0*h. Round b to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2. Let o(s) = 692*s + 1. What is o(t(z))?\nAnswer: -692*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, s: 1, o: 2, e: 1}. Give prob of sequence oo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssccss. Give prob of picking 2 s.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddddkk. Give prob of picking 1 k and 1 d.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5515202 (base 8) in base 12?\nAnswer: -5b5316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39\/11 - 306\/77. Let m be ((-22)\/3 + 3)*-3. Suppose 5*l + 4*i = -m, -2*l + 8 = -3*l + i. Which is the closest to 2? (a) -0.2 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*j**4 + j**3 - 64870*j + 139732924?\nAnswer: 64*j**3 + 3*j**2 - 64870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = -2*r, -h + 6 = r - 3*r. Let c(l) = -6*l**2 + 0*l**2 + h*l**2 + 3*l + 2 + l**3. What is the remainder when 26 is divided by c(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.997 + 28. What is r rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1088 - 38*t - 5*t + 43*t - 1836*t**2 wrt t?\nAnswer: -3672*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) + (-2*sqrt(140) - sqrt(140)) + sqrt(140) - sqrt(140))\/sqrt(5))\/((sqrt(56)\/sqrt(2))\/sqrt(7)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95326086*a**2*h**2 - 18121033*a**2*h - 4*h wrt h.\nAnswer: 190652172*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364640.\nAnswer: 2, 5, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a day in seconds?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2834*w**2 - 442110*w - 937. Give s(-156).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 24 = -m, 0 = 3*m - 0*m - 3*y - 45. Determine v so that -m*v**4 + 5*v**3 + 18*v**5 + v**2 + 6*v**4 - 15*v**3 - 3*v**2 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - f**2 - f. Let r(l) be the third derivative of l**6\/15 + 7*l**5\/60 + 7*l**4\/24 - 287*l**2. Give 35*o(q) + 5*r(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**3 + 3*m**2\/2 - m. Let f = -24 - -31. Suppose f + 3 = -3*g + 4*c, -4*g - 4 = 4*c. Give v(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011234324 (base 5) to base 14.\nAnswer: -3b719b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 45) + 0 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2 - 54*x - 2219. Give p(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 6\/((-18)\/(-15)). Let f = -10 - y. Let i be (-56)\/21*(-1 + f\/4). Is i at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386032 divided by 9?\nAnswer: 386032\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.1 + -5. Let v = -0.6 + d. Suppose n = 3*n. What is the closest to -1 in v, n, 1\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51604015 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7)*-30*13\/(-52)*14. Which is smaller: 746\/25 or r?\nAnswer: 746\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34 + -0.06. Let z = -1681 - -6723\/4. Let r = 51\/2 - 26. What is the nearest to 2\/3 in z, j, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**0*w))\/w**(-14\/5)*(w**(-1\/3))**41)**50 assuming w is positive.\nAnswer: w**(-1780\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1883*b**4 + 1836.\nAnswer: 7532*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvutyguufyfyfffvf. What is prob of sequence fygv?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (30 - 2) - (21 - (9 + -1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (-106 - (-334 + 80))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5611 + 16834\/3. Which is greater: k or -0.0381?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 406 + -406.1. What is the nearest to v in -2, 4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892476373.\nAnswer: 47, 113, 168043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -33*x**5\/20 - 41*x**2 + 162*x + 84. Let n(m) be the first derivative of v(m). Differentiate n(b) with respect to b.\nAnswer: -99*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186\/(-124)*(-8)\/42*(-279)\/(-1023).\nAnswer: 6\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23614398 divided by -83739?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*p - 1151 + 738 = 847 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**3 - 153*l**2 + 20932 with respect to l.\nAnswer: -3*l**2 - 306*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 3 - z + 0*z**3 + 4 + 2*z**4 in the form p*z + j*z**4 + u*z**2 + i*z**3 + t and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*d + 36, -v - 4*v + d = 21. Let l = v - -1. Suppose -5*p - i - 17 = 0, p + 2 = -3*p + 5*i. Is p less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*w**2 - 1\/3*w**5 + 0*w**3 + 1\/3*w - 2\/3*w**4 + 0.\nAnswer: -w*(w - 1)*(w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/15)\/(2\/3). Let p be 5*((-3)\/3)\/1. Let c = p - -6. What is the smallest value in c, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-354)\/2891*7\/(-3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1204*a**2. Suppose -57*j - 3*d - 24 = -61*j, -4*j = -5*d - 32. Let s(g) = 86*g**2. What is j*c(n) - 43*s(n)?\nAnswer: -86*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1\/4)\/g)*g**14*g)\/(g\/(g*(g\/g**(-8))\/g))**(-8\/9) assuming g is positive.\nAnswer: g**(329\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211 + 0?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158689\/14 + -11329. Calculate the common denominator of (336\/(-240))\/((-12)\/(-95)) and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -61. Is 706\/6 - y\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/451 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1846083\nAnswer: -7384332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, -0.3, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*q + 3 + 9, 4*v + 6 = 2*q. Let w = q - 0. Solve h + 4 = -w*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*g = 36, 0 = 3*u + 5*g - 15 - 17. Suppose -4*w + 11 = -9. Find the first derivative of -u + w*z - 3*z + 3 wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 32*u + 38 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1808 + 1805. Which is smaller: o or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*(f\/(f\/(f**11\/f)))\/f))\/f**(-2\/57))\/(f\/((f\/(f\/f**(-3\/10))*f)\/f)*f*f*f**18) assuming f is positive.\nAnswer: f**(-17251\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let c(h) = -395116266*h. Calculate c(q(m)).\nAnswer: 790232532*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.97 + 14. Let v be 54\/18 - 19\/7. Sort f, 4\/7, v in increasing order.\nAnswer: f, v, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62a3 (base 15) to base 2.\nAnswer: -101000101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 10:55 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 172, 357, 542, 727, 912, 1097?\n\"Answer: 185*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 302869016\/2763 - 109616. What is the common denominator of x and -79\/3070?\nAnswer: 27630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/6*(-828)\/(-552).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 8*g - 12*g + 3*j, -6 = -3*g + j. Solve -4*q - g = p, 4*q - 11 = -5*p - 0*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) + (520\/(-15) - -5). Let c = 37 + l. Solve 2*u + c + 0 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -631 + 17290. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 0*j**2 + 1017263251 - 1017263251.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17525, 17551, 17623, 17765, 18001, 18355, 18851?\n\"Answer: 4*c**3 - c**2 + c + 17521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4239, 4266, 4257, 4194, 4059, 3834, 3501, 3042?\nAnswer: 2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (11 - (16 - (8 - -1)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v + 15. Let y(a) = -a**2 + a - 9. Let l(f) = x(f) + 2*y(f). Determine l(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/26*(1 + -2 - 3). What is the closest to -8 in z, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -23397.\nAnswer: 350955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/12 + (-17)\/4. Let q be ((-6)\/r)\/(3\/8). Solve 0*s = -2*s + q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -928545314*d**4 + 32691742?\nAnswer: -3714181256*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*i + 25, -5*x + 4*i - 1 = 1. Find the second derivative of 45*m**2 + 1 + 6*m**x - 9*m - m + 3*m wrt m.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 38*h - 8*h - 1 in the form t + j*h and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a hour in seconds?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 86. Let y = 4 + -6. Which is the nearest to -2? (a) y (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 0*b**2 - 4*b**2. Let a(h) be the third derivative of 1\/60*h**5 - 2*h**2 + 0 + 0*h**3 + 0*h**4 + 0*h. What is l(a(w))?\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 29. Let z(w) = -4*w**2. Determine z(s(v)).\nAnswer: -16*v**2 - 464*v - 3364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -9*d + 10. Suppose -2 = -6*i + 5*i. Find the first derivative of 0*s**i - 1 - d*s**2 - 5*s**2 + 5*s**2 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 2403?\nAnswer: 2355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - i**2 - i - 3. Let q be y(-2). Suppose 3*d - 1478 = -5*p, q*p - 1474 = -2*p + d. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885235692 to the power of 1\/3, to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10362774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.47336 to the nearest integer.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3168990, -6337892, -9506794, -12675696, -15844598, -19013500?\nAnswer: -22182402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)*d**39 assuming d is positive.\nAnswer: d**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -156d (base 15) to base 3\nAnswer: -20022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1 + (13 - 17 + 43)*(2 + 5 - 5)*(0 + 1 - 3))*(-3 - 1 + 5)*(0*m**4 + m**4 + 0*m**4) - 2*m**4 + 7*m**4 + 3*m**4.\nAnswer: -151*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*s**3 - 88\/5*s + 26\/5*s**2 + 64\/5 = 0 for s.\nAnswer: 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 v when three letters picked without replacement from rvvvrvvvvvvvvrvrvvv?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**4\/8 + 19*f**3\/2 + f**2. Let x = -2061 - -2061. Does 19 divide j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1138 or 1818?\nAnswer: 1138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-10)\/24)\/(-5))\/(8118\/(-2178)) and -131\/48.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 5:47 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/25*(-5)\/(-2). Solve -8 = -2*x - t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131702489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*n = -16, 2*l + 2*n + 10 = 5*l. What is the tens digit of (-22)\/1*(-1)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 13*i**2 - 123*i - 282. Calculate d(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 56. Suppose 3*n - 21 = 2*p, -2*n = -2*p + j - 23. Suppose 3330 = -n*c - 1520. Round c to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11243444 + 3?\nAnswer: 11244002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2\/4 - 21423885*q\/2 - 152994282831075\/4 = 0.\nAnswer: -7141295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6328, -12718, -19004, -25180, -31240, -37178?\nAnswer: -42988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 - -11245?\nAnswer: 11344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1108347 and 1108352 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3211 and 57641649.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - i. Let a be h(-1). Suppose -2*n - 4*n + 18 = a. What is the derivative of -3 + 2*k + 4*k + n*k wrt k?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158195018?\nAnswer: 2, 79097509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-975)\/(-390)*1\/(-7)*(-2)\/(-30).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*b + 4*b**3 - 6*b**4 - 3*b**2 - 7*b**3 + 4*b**2 - 4*b**2 wrt b?\nAnswer: -144*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -14. Let q(z) = -z**3 + 4*z**2 - 4*z + 1. Let j be q(5). Let l = k - j. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67.91 - -63.91. Which is the nearest to j? (a) -1 (b) 4\/3 (c) -2\/5 (d) 0.068\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 3:24 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12103202223 + -12?\nAnswer: -12103202301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:28 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - o**2 + 79*o + 78. Give c(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7) + (sqrt(28) - sqrt(7))*-5) - sqrt(156)\/(sqrt(48)*-6).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, -0.2, 1\/5, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266 - -445. Let y = 703.97 - f. What is y rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247731, -247729, -247725, -247719?\nAnswer: -247711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 4*j = 12*i - 144, -3*j = 3*i - 84. What is the remainder when i is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p - 3*p)*((2 - 2 + 2*p)*(-2 + 0 + 1) + p + 3 - 3).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z)**(-2)\/((z*z**1)\/(z*z\/z**5*z)) assuming z is positive.\nAnswer: z**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51107333.\nAnswer: 83, 615751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 13*n - 25. Suppose 0 = -y + 4*z - 3, 2*y - 3*y - 4*z = -37. Let w be t(y). Let s = w + 141. Calculate the highest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -20.1.\nAnswer: 221.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -935*m**4\/8 + 1357*m**3\/3 + 4576*m**2. What is the first derivative of i(q) wrt q?\nAnswer: -2805","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 88\/(-99)*-75*12\/(-10). What is the smallest common multiple of 13 and 5\/10*3*h\/(-30)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 344, 400, 526, 752, 1108, 1624, 2330, 3256?\n\"Answer: 5*p**3 + 5*p**2 + 6*p + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from toxjtkeo. What is prob of sequence xe?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4959270, -4959269, -4959266, -4959261, -4959254, -4959245?\n\"Answer: u**2 - 2*u - 4959269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3603\/2 + 1751. Let a = k - -52. What is the second biggest value in 1, -2\/7, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4893684335 rounded to two decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a476731 - 0?\nAnswer: 11a476731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -37608 take away 0.3?\nAnswer: -37608.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -230672422 - 2?\nAnswer: -230672424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -63. Suppose j + b = 3*j. Find the common denominator of (-113)\/j*1*(-8)\/20 and -29\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -974054, 1.\nAnswer: -974054, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 99823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 889640, 1778872, 2667298, 3554516, 4440124, 5323720?\nAnswer: 6204902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -2*j + 8, 3*j = -3*u - 94147 + 94150 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100011010110 (base 2) in base 8?\nAnswer: 54326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -323 - -611. Let v = -45 + q. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t - 300 = 0. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 9*p**2 + 5*p + 2. Let s be m(7). Let w = -93 + s. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57052 (base 12) in base 8?\nAnswer: 342176","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let -68\/7*u**2 + 10\/7*u**5 + 106\/7*u**3 - 8\/7*u - 8*u**4 + 16\/7 = 0. Calculate u.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43416 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.1 + -7. Let d = -0.1 + i. Let g = d - -1.000004. What is g rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 3*h + 4 - 5)*((-h + h + h)*(0 - 1 + 3) + h + 8*h - h) + 3*h**2 - 4*h**2 + 0*h**2 + (h - 4*h + h)*(-2*h + 4*h - 3*h).\nAnswer: -9*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -221 (c) 8 (d) -1 (e) -0.19 (f) 0.3 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f - 18. What is j(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 18 = -2. Let f be (4\/(-6))\/(s\/18). Find the third derivative of -m**2 + f*m**2 + 2*m**4 + 0*m**4 wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6291420 divided by 13677?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**4 + 790*w**3 - 4615*w**2 + 8390*w - 4560 = 0.\nAnswer: 1, 2, 3, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4216962915?\nAnswer: 3, 5, 11, 43, 67, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 899 + -803. What is the units digit of 13802\/15 - p\/720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0162 and 2.\nAnswer: -0.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -25*n**2 - 12*n - 24. Calculate y(-6).\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**4 + 147*j**3 + 40*j**2 + 2*j + 25368 wrt j.\nAnswer: -8*j**3 + 441*j**2 + 80*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.21 - 0.21. Let b = a + -12. What is the nearest to 1\/3 in b, -2\/3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54675 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 45 = -6*p. Let d be (-1)\/(p\/6)*1\/(-50). Let l = -68\/525 + d. What is the nearest to 5 in 2\/7, l, 1\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-8)\/180 - 8\/(-36). Let l(p) = p**3 - p**2 + 4*p + 4 - 2*p - p. Give l(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5249609 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 2*k**2 + 0*k + 3\/160*k**5 - 1\/48*k**4 - 7\/1440*k**6 + 0 - 2*k**3. Let l(r) be the first derivative of t(r). Factor l(m).\nAnswer: -(m - 1)*(7*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 8*b - 3. Let u be a(7). Suppose u = -m + 3*m. Suppose -m*c = -c - 5. Solve -c*l + 0*l - 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173523738 to the power of 1\/3, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 50. Let w(a) = a**2. Give w(q(y)).\nAnswer: y**2 - 100*y + 2500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m = 3*m. Let z(g) be the first derivative of -5 - 1\/2*g**2 + m*g + 4\/3*g**3. What is the second derivative of z(d) wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2880\/(-224))\/((-1140)\/1064).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 161 - 166 + 327 - 9*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*j + 6. Let c be 13\/(-5) + j\/(-15). Let m = c - -4. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42399 smaller than 42400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 + 99 = -8*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**4 + 12396*m**3 - 24801*m**2 + 12402*m = 0.\nAnswer: -4134, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18336 divided by -4584.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2952 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 3*s - 25 = 0, s = 3*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.61031 centuries in months?\nAnswer: 61932.372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -0.5 (c) -240 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 646\/32 + -32 + (-509)\/(-16)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2395, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2659\/98 + 1340\/49. What is the fourth biggest value in 9, 0, -2\/15, -0.5, s?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -4)\/(-21*1\/63203) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*y + 51*y + 56*y + 193 + 574 - 161*y in the form z + m*y and give z.\nAnswer: 767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.3, -21\/73?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -856695, -856738, -856781?\nAnswer: -856824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2451?\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -238529.\nAnswer: 4\/238529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 12*x**2 - 9*x - 12. Let h be b(10). Let v = 334 + h. What is the least common multiple of 48 and v?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 980908*z**2 + z - 980931*z**2.\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 4*a**2 + 4*a**2)*(-3 + 3 - a) + 2*a**2 - a**3 - 2*a**2 - 3*a**3 - 3*a**3 + 7*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10383017933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**5\/10 + 649*n**4\/12 + 815*n**3\/3 + 17*n + 22. What is the second derivative of r(m) wrt m?\nAnswer: 12*m + 1298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.2589 + -0.3?\nAnswer: -25.5589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + -44. Let i = -75.5 - c. What is the closest to -2 in -1, 1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7}. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(209) - (sqrt(209) - 1*sqrt(209)))*3 + sqrt(209))\/(sqrt(275) + (sqrt(275) - (sqrt(275) - (sqrt(275) + sqrt(275)*1))))*4)**2.\nAnswer: 32*sqrt(19)\/15 + 5089\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2. Let k = -2412 - -2412. Let t(q) be the third derivative of 0*q**3 + k*q + 1\/6*q**5 + 0*q**4 - 17*q**2 + 0. Give i(t(n)).\nAnswer: 200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 68*b - 2*b)*(2 - 2 + 2)*(-424 + 200 - 200 - 33 - 377) to the form i*b + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**2 - 28495*p - 9472050 = 0.\nAnswer: -315, 6014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/3 and 4*-1 + (-196)\/(-30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fafffffaafffffaaffa. What is prob of sequence fff?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmkyp. What is prob of sequence pkp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.520332s?\nAnswer: 8520.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/15 + 28*m\/3 - 46\/5.\nAnswer: -2*(m - 69)*(m - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 18*n + 136. Suppose 0 = 2*g - 27 - 9. Let z = g + n. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 43, 8558652 in increasing order.\nAnswer: 5, 43, 8558652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17919129 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (5 + -3)*-7. What is the first derivative of m*q**4 + 4 - 12 + 0 - 4 wrt q?\nAnswer: 44*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)*1 - -2. Let o be (2 + 1)\/a - 0. Suppose 380*q = 384*q + 16. Put o, -5, q in decreasing order.\nAnswer: o, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 15, 5*t + 0 = y + 20. Suppose -25 = -t*l + 30. Let v = -52326 - -52331. Is l bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/273 and 97\/104?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 92\/(-5) - 3\/5. Let j = -17 - x. Suppose -7 = j*o - 3. Let k(w) = -3*w**2 - 2*w + 2. Give k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 3*z**2 - 4*z**2)*((0 + 0 + 2)*(-4 + 2*z + 4) + 242*z - 126*z - 139*z) - 4*z**3 + 2*z**3 - z**3 + (-5*z + 0*z + 2*z)*(0*z + 2*z**2 + 0*z).\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 17, v: 2}. What is prob of picking 3 o?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-34)\/34)\/((-1)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 11:04 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 7 - 29 = 0. Let o be (-8)\/(-2224)*292\/7. Let k = o - 1\/139. What is the smallest value in k, 5, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -5340113?\nAnswer: 5340121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 673*h - 10498. Give u(14).\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/3 - 10*h**3\/3 - 8*h**2 + 17*h - 44. Let f(p) be the first derivative of d(p). Factor f(z).\nAnswer: -4*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/1 + -21)\/(-1). Let n = -14 + i. What is the nearest to 1 in n, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6478 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: Calculate prob of sequence igj when three letters picked without replacement from {q: 1, i: 8, c: 1, j: 2, g: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143 is divided by 219?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-2\/9)))**(2\/91) assuming l is positive.\nAnswer: l**(-4\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.70278 nanoseconds in days?\nAnswer: 0.00000000000191785625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005022677 rounded to 6 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8562718.\nAnswer: 2, 4281359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -87, -2\/3?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -383*z + 32013. Give o(82).\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v + 0 + 1\/2*v**4 - 2*v**2 + 0*v**3.\nAnswer: v**2*(v - 2)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**2*b + 5*a**2*m - 3*a*b**2*m - 186*b**2*m - b**2 wrt a.\nAnswer: -6*a*b + 10*a*m - 3*b**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44514153 (base 6) to base 9.\nAnswer: -2473346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2. Let i(c) be the third derivative of c**5\/30 + c**4\/24 - 77*c**2 - 1. What is y(i(w))?\nAnswer: 8*w**4 + 8*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvt when three letters picked without replacement from {v: 1, o: 1, r: 1, z: 3, t: 7}?\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9939 + -3377. List the prime factors of p.\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 104*b + 1615.\nAnswer: (b - 85)*(b - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*q + 3485 = 5*a + 74*q, -4*a = 3*q - 2788. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, o: 1, d: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-32 - 11 + 8)*(-z - 2*z + 2*z + (0 + 1 - 3)*(-4*z + z + 5*z) - 5*z + 2*z + 4*z + 5*z - 3*z - z - 3*z - z + 5*z).\nAnswer: -140*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/22 + 6\/33.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0817401 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 35*q - 85 + 24 = 2*j + 15, 5*j - 36 = 3*q for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - (1617\/28)\/(-11). Let w(f) = -f**3 + f**2 + f + 4. Let h be w(0). Let r = 3 - h. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 divided by -7875?\nAnswer: -59\/2625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkk when three letters picked without replacement from zwfkkzjfkkzzwzfkjpkj.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 1. Let r(x) = x**3 - x - 2. Let h(p) = p**2 - 4*p - 4. Let n(a) = -23*a - 134. Let z be n(-6). Let k be h(z). Give k*m(i) - 3*r(i).\nAnswer: i**3 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 387, 774, 1161, 1548?\n\"Answer: 387*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5 + 8\/5*c - 2\/5*c**2.\nAnswer: -2*(c - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 148619*d**2 + 171682595*d + 49775732377.\nAnswer: (d + 581)**2*(d + 147457)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 = -8*s + 382. Suppose s*o - 4*o - 2*o = 0. Solve l = 3*m - 3, o*l - l = m + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j - 4*g - 10, 5*j = -5*g. Suppose j*n = -0*n + 3*k + 18, 3*k - 22 = -5*n. Put n, -5, 0.4 in descending order.\nAnswer: n, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-5 - (-5 + 4 - -2) - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 167*u**6\/30 + u**4\/24 - 161*u**3\/6 - 176*u**2 - 2*u. Find the second derivative of a(t) wrt t.\nAnswer: 4008*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -43, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 27*x - 4. Let p be m(-27). Let v be p\/2*(-70)\/20. Suppose 6 = -z + 4*z. Solve z*c = v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ammui. What is prob of sequence amu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**5 - 191307*c**4 - 3052251213*c**3 - 76012251045*c**2 + 2781255451392*c - 17330979815424 = 0. What is c?\nAnswer: -31872, -47, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17969.6320057 + -17968.612. Let g = b - 1.02. Round g to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 186\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(66) + -6*(sqrt(66) + 4*sqrt(66) - sqrt(66)) + sqrt(66) - sqrt(66)))\/(6*(sqrt(486) + -2*sqrt(486))).\nAnswer: 23*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h - 2*h)*(-95*h - 117*h + 154*h)*(-3 + 2 + 2).\nAnswer: 58*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19164019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9a979 (base 16) to base 3\nAnswer: -1012011121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7044 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 62. Let j be h(7). Suppose -q = z + 2*z - j, 4*q = 2*z - 4. Is q >= 1\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448756 and 3410.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*l - 100. Let p = 20 - l. Suppose -2*c - y + 227 = p, 0*c = -c + 2*y + 106. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**4 + 3*a**4 + 4*a**4 + (0*a**2 + 2*a**2 - a**2)*(-3*a + a**2 + 3*a) + a**4 - a**4 + 2*a**4)*(-976 + 976 - 40*a).\nAnswer: -160*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-4)*(-12)\/(-21). Let q(p) = -22139*p**v + 2 + p + 2 - 361*p**2. Let g be q(-4). What is g rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.64 - 105.64. Let t = k - -104.99921. What is t rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 1) + 5 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 391 + -389. Suppose -3*i - 15 = -3, -3*i = -m*g + 12. Solve 2 = -5*d + 2*o, g*o = o - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2225 divided by 29.\nAnswer: -2225\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 79*g + 1488. Let c(f) = f - 2. Let l be c(4). Suppose -3*s + l*s = -10. What is the remainder when j(50) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15d7 - -4?\nAnswer: 15db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*o**3 + 678*o**2 - 678*o**2 + (-6*o - 5*o + 4*o)*(-4*o**2 - 13*o**2 + 5*o**2) to b*o**3 + k*o + m*o**2 + w and give b.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = -297 + 72. Is 10\/q + (-106713)\/(-45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2066*f - 6207. Determine a(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90\/271 + -268\/2439. Put -0.3, p, -4\/5, 16\/7 in descending order.\nAnswer: 16\/7, p, -0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/10)\/((-46)\/(-115) + (-7)\/35). Let f be 2 - (38\/16)\/1. Which is the third biggest value? (a) p (b) 0.6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 818759.3.\nAnswer: 818763.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2611842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16031976 less than 16031976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(20\/8)*(0 - 1). Calculate the remainder when 38 is divided by 6\/i + 80\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742185 is divided by 33735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-51) + ((-819)\/119 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -4 - -2) + 2 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4347 and 32256.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1403861 and -0.477.\nAnswer: -1403861.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5565, 11431, 17297?\n\"Answer: 5866*o - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28491965*d**2 - 4 + 28486773*d**2 + 3447*d + 4 wrt d.\nAnswer: -10384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2718 - 4*s**2 + 2716 + 2721 - 10861 + 2706.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143000 + -12301?\nAnswer: -155301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 + 44. Let t = u - -318. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1\/(-42)*-12.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1103014114 - -240?\nAnswer: -1103013324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 8 = -4*p, 2582*p + 10 = -3*k + 2587*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8db8c (base 14) in base 11?\nAnswer: 216461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15810 - 5271 - 5260 - 3*v - 5270.\nAnswer: -3*v + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 62*w**3 - 124*w**3 + 64*w**3 + w**4 + w - 5*w to the form d*w**2 + s*w**4 + o + v*w + t*w**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.353 + 1.647. Sort 21, b, 0.5.\nAnswer: 0.5, b, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 201913440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/((p*p\/(p\/((p**6*p)\/p))*p)\/p))\/p)\/p**(-4)*(p**(2\/3))**44*(p**(3\/11)\/p**5)\/(p*p**(-5)*p*p**(-5)) assuming p is positive.\nAnswer: p**(1010\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/56 and 1\/126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -2. Let h(k) = -2 + 6*k - 5 - k**3 + 5*k**2 + 2. Is 13 a factor of h(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*j**4 - 2)*(-j - 3 + 3) - 8*j**5 - 23*j**5 + j**5.\nAnswer: -33*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 3*r - 2. Let p be l(-3). Suppose g + 2*g - 12 = 0. Let z = p + g. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:31 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 51300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r**2 - 13*r - 6. Let v(w) = -7*w**2 + 12*w + 5. Give 5*s(n) + 6*v(n).\nAnswer: -2*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 3:42 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2048 + 3*a + 2048.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.63898294874 and 0.17.\nAnswer: 3.80898294874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -97 - (541 - 387)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 342*x - 251 = 343*x, 0 = -4*y + 4*x + 508. Solve -112*m + y*m = 36 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400934923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1369520 and -149\/180.\nAnswer: 12325680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 13*x**2 + 22*x. Let g(a) = 5*a**2 + 8*a. Let y(o) = -11*g(o) + 4*r(o). Let z(p) = 7*p. Determine z(y(k)).\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*c**2 + 353*c**2 + 352*c**2 - 5 + 355*c**2 + 347*c**2 - 1409*c**2 + 352*c**2.\nAnswer: 5*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -38097 to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 - 12 - -8) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*q - 2412205 = 322835. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. List the prime factors of (5*14)\/(2 + z).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 7, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 5*h + v - 13, 3*h - 6 = 3*v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 11 = 5*g - 9, 0 = 5*g + 4*v - 10. Suppose -f - g = -14. Let j be ((-18)\/f)\/((-3)\/(-12)). Round j to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43288, -43167, -42864, -42289, -41352, -39963?\nAnswer: -38032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13337142 or 13337143?\nAnswer: 13337143","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25567429 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = n - 19, 0 = -4*n - 5*r + 31. Solve 2*v = -n*f - 8, 6*f = 4*v + f + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from {g: 12, v: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 134865 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178 - -177.6. Let p(h) = h - 6. Let q be p(7). Which is the second biggest value? (a) q (b) 1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-7) - (-435)\/203. Solve -y*l + 6*l - 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Let h(g) = 3*g**2 - 7*g**3 + 2*g**2 - 5*g**t. What is h(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411914587.\nAnswer: 7, 43, 1368487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9738 + 175211\/18. What is the common denominator of u and -61\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 = -2. What is the third derivative of 14*q**6 - 3*q**5 + 3*q**5 - u*q**2 - 16*q**6 wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 24 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -17. Suppose h = -y - 4 + 28. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-5)\/w*w)\/w)\/w)\/w**(4\/3)*(w**1)**(-23\/5))**23 assuming w is positive.\nAnswer: w**(-4462\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -944 + 943.8. Which is the nearest to 0? (a) -2\/17 (b) x (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303573*r - 303932*r = -15437 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.169 * 224.5\nAnswer: -262.4405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -38, 0, 4, -0.52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -285209?\nAnswer: 1426045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.025 - 31.538. Let r = m - 0.087. Round r to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -403*u**5 + 17*u**5 + 2*u - 78*u**5 + 94 + 231 wrt u?\nAnswer: -9280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 101090600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.995 and -785068?\nAnswer: 781142.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*h + 3*c + 12069 = -92*h, -4*c = h - 4028. Calculate the remainder when h is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 + 6.25. Let m = s + 0.8. Let h = 5 - m. What is the second smallest value in -0.3, 5, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9674676, -19349354, -29024044, -38698752, -48373484, -58048246, -67723044, -77397884?\nAnswer: -87072772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, 1 in decreasing order.\nAnswer: 1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -6, -4, 4, -5, 8 in increasing order.\nAnswer: -6, -5, -4, 4, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + (((sqrt(95) - (sqrt(95) + -2*sqrt(95)*-2)) + sqrt(95))*-1)\/((sqrt(180)\/(sqrt(4)*-3))\/sqrt(9))))**2.\nAnswer: -1800*sqrt(19) + 38875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22\/(-10))\/(2\/(-30)). Suppose 0 = 13*d + 7 - b. Suppose 0 = 3*t - d*t - l - 1, 5*l + 5 = 0. Solve t = -0*h + 4*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-62) + (31559936\/(-174840))\/(-688).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1950\/225*(-3)\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d + 37*d = 2*t - 27, 4*d + 4*t - 84 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -98. Let r = -5 - -6. Find the common denominator of r*(j\/(-33) - -2) and 17\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 12. Suppose n - 6*n + 1800 = a. Round n to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52229121?\nAnswer: 3, 7, 41, 60661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/120 + y**5\/15 + y**4\/24 + y**3\/3 + 29*y**2. Let l be (-66)\/18 - 2\/6. Calculate v(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jajja?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 + 2 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 14*u - 4. Put 4, u, 7, 16 in ascending order.\nAnswer: u, 4, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o - 0*o. Let w be (-4)\/o*(-18)\/(-156). Let l = 58\/39 - w. Is l < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -7 (b) 3 (c) -0.03 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 118 - 51)*(z**2 + 0*z**2 - 5*z**2).\nAnswer: -436*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 - 366*h**2 + 3*h**4 + 156*h**2 - 2 + 3 + 207*h**2 - 4*h in the form x*h + i*h**3 + j*h**2 + r*h**4 + t and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21847)\/(-21) - (-26)\/(-78).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**3*(b\/(b*b**(-13)))\/b*b assuming b is positive.\nAnswer: b**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 6*f**3 - 14.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*p**3 + 4*a*p**2 - 556*a*p + 14*a - 2*p**3 + 24*p + 204209 wrt a.\nAnswer: 3*p**3 + 4*p**2 - 556*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 5)*(p - 3*p + 0*p) + 471*p - 256*p + 389*p + 251*p as k*p + u and give k.\nAnswer: 851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -166, -2\/19, -11?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 - 55*d. Let n(u) = -32*u**2 + 12. Let o(s) = 27*s**2 - 10. Let l(g) = 5*n(g) + 6*o(g). What is l(b(x))?\nAnswer: 18*x**4 - 660*x**3 + 6050*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*k + 3\/4*k**2 - 3\/2 = 0 for k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 282 - 5*j + 9*j**2 - 282 in the form l + x*j + g*j**2 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.871 + -0.809. Let u = 3.08 + k. Let x = 258\/5 + -52. What is the closest to 2\/7 in u, x, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4134270 (base 10) in base 9?\nAnswer: 7701133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2045 and 10975950?\nAnswer: 4489163550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1118 - 10210*z**2 - 1671 - 4533*z + 4533*z with respect to z.\nAnswer: -20420*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.597 - -2.097. Let g = 2\/79 + 75\/158. Put 1, g, w in ascending order.\nAnswer: g, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-14) - 22\/(-77))\/(-1). Let f(v) be the third derivative of v**5\/60 + v**4\/24 + 2*v**2. Give f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/46*2 - (-5394)\/667. Let o(g) = 216 - h*g - g - 217. Determine o(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r, 0 = 4*x - 3*x - 5*r - 120. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*p)*(0 + 2 - 1) + 1 + 2*p - 1 + 3*p - 2*p + 0*p - 2624 + 49*p + 2624 to d*p + a and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/(-2))\/(-6*7\/(-231)). Let a = -104 + o. What is the second smallest value in a, 0.4, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:13 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 570966 and 8651.\nAnswer: 570966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v = 4*f - 4, 4*f - 4*v - 4 = 0. What is the smallest common multiple of f and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 18*j - 31. Give z(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*c**2 + c - 75*c**2 - 27*c**3 - c.\nAnswer: -27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4*f - 6 = 0, 2*z - 9 = 5*z - 3*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 3*k - 24. Suppose 0*r + 71 = 5*a - 4*r, 87 = -3*a - 12*r. Solve 0 = -5*y - a - k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 15 = 3*h, -h + 2 = -5*j - 3. Suppose j = -4*z + 11 + 29. Calculate the remainder when 18 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/9 + 36692*h**3\/9 - 1802270*h**2\/9 + 8093800*h\/9 = 0. What is h?\nAnswer: -18395, 0, 5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 5, 2, 3.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.209+-2289791\nAnswer: -2289790.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -107 and -122.\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 105*y + 3711. Determine a(-39).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 - 205. Let u = x - -93. What are the prime factors of (u + 16\/(-4))\/6*549?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.03?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1991 + 30*m**2 - 1991.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 32054 = 51482. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.4067 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/238 and -52\/53431.\nAnswer: 106862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 62*b - 57 = 0. Let p(t) = -1. Let l(x) = x**3 + 2*x + 7. Calculate b*l(v) + 4*p(v).\nAnswer: v**3 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**4 + 85*l**3 + 315*l**2 - 405*l = 0. Calculate l.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1 + 1 - 2*l. Let w(v) be the third derivative of 0*v + v**2 + 0 - 1\/12*v**4 + 0*v**3. Give u(w(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**14\/v*v*v**(-4\/3)\/v)**(-47)*((v\/(v\/v**1)*v)\/v)**(-9\/10)\/(v**(-1\/2))**44 assuming v is positive.\nAnswer: v**(-15817\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 9) to base 5.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232\/(-406)*(-7)\/34.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 6) + (-44)\/33*774\/4. Are u and -291 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 - 7 + 116*t + 3*t**4 + 112*t - 227*t as o*t + d*t**4 + f*t**3 + i + l*t**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 11*a + 167. Let w be s(-15). List the prime factors of (0\/(-4 + 0) + w)*448.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9794346 nanometers to centimeters.\nAnswer: 0.00000009794346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1011299 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 13*w + 33. Let g be q(10). Let i(b) = -b**3 + 7*b**2 - 6*b + 9. Let x be i(6). Solve g*l + x = 6*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*p - 22, -p - 10 = 2*o - 6*p. Factor o*f**2 - 19*f + 9*f - 35*f + 40.\nAnswer: 5*(f - 8)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 6120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250*s**4 + 259*s**2.\nAnswer: -6000*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 181 = 5*o, 3*o + 6209 = -4*v - v + 6100 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*t - 38640 = -16*t. What are the prime factors of t?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 3, p: 10, x: 5, g: 1}. What is prob of picking 1 g and 1 j?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50984 = 16*j - 51400 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -231? (a) 3\/5 (b) -0.7 (c) 179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -600*q**3 - 4*q**2 + 2*q - 4. Let m(g) = g**3 - g**2 + g - 1. Calculate -i(x) + 4*m(x).\nAnswer: 604*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/5 (b) -1\/3 (c) 3 (d) 20 (e) -0.0202 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2317.06 + 2317. Let n(z) = z**2 - 4*z + 1. Let w be n(3). Let j be 0 - w*(-1)\/9. What is the second biggest value in j, 1\/8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + p = 9 - 22, 3*p = l + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111110000 (base 2) in base 11?\nAnswer: -837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -7 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 79. Let v(j) = s*j + 6 - 27*j + 30. Let d be v(12). Calculate the highest common factor of d and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*a + 37*a + 11*a + 7 to the form y + g*a and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2844 + -17179\/6. What is the common denominator of 51\/11 and i?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 23*q**2 - 38*q**2 + q**3 + q**3 + 0*q**3 + 3 to the form g*q**3 + y*q**2 + p*q + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 + 2*d**2 - 4*d - 2. Is o(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + sqrt(11) + -5 + sqrt(11)*-2 - (1 + sqrt(396) + -3 + sqrt(11)))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 12. Let l(v) = v**2 + 4*v - 7. Let n be l(z). Suppose n*h + a - 191 = 0, 4*h - 5*a = -18 + 165. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/40 + z**4\/6 - z**3\/3 + 7*z. Let x(j) be the second derivative of o(j). Calculate x(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (4 - 2 - (14 - 2)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 93, 120, 173, 264, 405?\n\"Answer: 2*s**3 + s**2 + 10*s + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 112675*w**3*y**3 - 71*w**2*y**3 - 97*y**3 + 71728*y**2 wrt w?\nAnswer: 338025*w**2*y**3 - 142*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(9\/(-24)*1)\/(-1). Which is the third smallest value? (a) -0.1 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17768, 35532, 53296, 71060?\n\"Answer: 17764*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 35*g - 1354. What is u(35)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 + 70. Suppose -s = -5*z + 5, 5*z + 10 + 0 = 4*s. Sort 3, c, s in descending order.\nAnswer: s, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*w**2 - 3*w**2 + w**2 + (-19*w**2 - 21*w**2 + 8*w**2)*(10 + 14 - 18) in the form a + r*w**2 + i*w and give r.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 487292 to the power of 1\/2, to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*u = 9, 3 = l + 54*u - 52*u. Let w(c) = -6*c - 64. Let p(v) = 2*v + 21. What is l*w(m) - 10*p(m)?\nAnswer: -2*m - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1029, 2121, 3213?\nAnswer: 4305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 1:39 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -2 + -83 - -71?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2 = -7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72936792251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5928 and 624.\nAnswer: 11856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12590 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 2*v - 1. Let n(f) = -f - 1. Calculate 4*n(w) - 2*o(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*w + 6\/5*w**3 + 0 - 8\/5*w**2 = 0 for w.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -15)*(2208\/2560)\/23.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123037.8055 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -78. Suppose -5*n - 10 = 5, 5*n = 3*s - 191088. Suppose -146309 = i*g + s. Round g to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 16*i - 4*z = -6, z + 30 = 5*i. Let r = -1 + i. Solve -6 = -0*d - r*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.1 and -0.224?\nAnswer: -0.6944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/3)\/((-76)\/(-266))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 336903\/(-14640) + 5 + 18.\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -6) + 3 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 50*z + 565. Let h be b(-33). Sort h, 12, -37, 0 in descending order.\nAnswer: 12, h, 0, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 201514 + 2?\nAnswer: 201520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -4 (c) 158\/9 (d) 4 (e) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from qwqwwddwqwdaqdqwqdq.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 9*w + 31*w**2 - 6 + 26*w**2 - 60*w**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2537724 (base 9) to base 7\nAnswer: -14521351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (sqrt(2448) + -1 - sqrt(2448))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-414)\/(-345))\/(14\/(-30))*(-182)\/(-52)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -147637.6 and -1233?\nAnswer: 146404.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5328)\/8640 - 3\/(-4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 55*g + 112. Let k be z(-2). Let o(h) = 3*h**3 - h**2 + h + 1. Let a be o(-1). Let l be (6 - k\/(-3))\/(a\/(-1734)). Round l to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Let j be (-2 - -5) + (-25200006)\/h. Round j to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379951495 a multiple of 4235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45443000 rounded to the nearest one million?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (12 - 3)) + 0 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25782048 <= 25782048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/2*(-289 - -85)\/204\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(91) + (sqrt(91) - ((-1*sqrt(91) + sqrt(91) - sqrt(91))*-2 + sqrt(91))))\/((sqrt(112) + -4*sqrt(112) + sqrt(7))*-2).\nAnswer: 3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/31, 2\/13, -2\/11, 4, 7.5?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6 = -3*o. Let h = -301 - -302. Let d(n) = 0 + n**2 + 4*n**3 + 0. Let a(z) = -z**3 - z**2. Give h*d(m) + o*a(m).\nAnswer: m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (57\/(-38))\/(2\/(-8) + 0). Is 7 a factor of ((-36855)\/(-25))\/7 - q\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (-1*sqrt(300) + 3)) + sqrt(300) + -1 + 4 + -5 + sqrt(300)*2*-6)**2.\nAnswer: 900*sqrt(3) + 24325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4654048.\nAnswer: 2, 7, 79, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/((-27)\/(-8690)) - (-1)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 7:36 PM?\nAnswer: 79","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6 - 4*j + 0*j + 5*j - 6. Let v(b) = -43*b + 2. Determine y(v(t)).\nAnswer: -43*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 < -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/11)\/f*((f\/(f**(-4\/7)*f))\/f)\/f*(f**(-13)*f)\/f*(f\/(f*f\/(f*f\/(f\/f**(-14)*f))*f*f))\/f*f assuming f is positive.\nAnswer: f**(-2504\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2865)\/7640)\/(2\/4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**5 - 492*u**4 - 366*u**3 + 19716*u**2 - 54063*u + 35208 = 0.\nAnswer: -163, -8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 6. Let j(r) = r + 1. Let m be j(z). Let o(g) = 0*g - 4*g + g + 2*g - 5*g**2. Calculate o(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) - 14\/(-6). Let s = -37 + 22. Let h be (-21)\/s - c\/(-5). Solve 4 - h = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -126.8, -1\/3, -0.1, 3, 8\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 15*h - 33. Let j be d(-2). Solve j = 4*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*x - 2366 - 3813 = 139 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*f - 16, 3*x - 2*f = 2*x - 7. Suppose h + x*t = -2*h + 79200012, h = t + 26399996. Round h to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 1, x: 3, t: 4, v: 2}. What is prob of sequence xjt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 + 34552*g**3 - 71007508*g**2 - 15580947984*g - 813394749456.\nAnswer: -4*(g - 4421)**2*(g + 102)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 9*z - 9. Let p be v(8). Calculate the common denominator of 23\/7 and p + ((-17)\/(-6))\/((-1)\/7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 - -1b4496?\nAnswer: 1b44b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.3 (b) 4 (c) -4 (d) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 2*y**2 + 4*y + 37. Calculate d(-5).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 1620.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by -5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - 3*(sqrt(125) + 2))**2 - sqrt(40)\/sqrt(512).\nAnswer: 959*sqrt(5)\/8 + 536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -443 + 448. Let v = 1 + -1. What is the closest to -2 in -1, p, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 28*l**2 - 53*l + 19. Calculate f(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.011 - 5.011. Put 8, -0.4, -6\/11, p in ascending order.\nAnswer: p, -6\/11, -0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - 1.94. Let w = 175 + -175.462. Let o = w - 0.038. What is the second smallest value in m, -0.01, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + 2 - 4*y + 3*y + 9*y + 3*y - 6*y - 13*y + 129 - 129 + (4*y + 0*y - 2*y)*(-1 - 4 + 3) - y + y - y + y + 2 - 2 - 3 - 2*y + 3 - 3 + 5 - 2*y + 3.\nAnswer: -17*y + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246327, 246383, 246439, 246495?\nAnswer: 246551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-1)\/(-2)*-26. Let g(m) = 10*m + 2*m + 14*m + 2*m + k. Let q be g(5). Calculate the highest common factor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 14.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 16. What is the remainder when 37 is divided by l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 (base 4) in base 15?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 91*v**2 - 65*v**2 + 156*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Suppose 2*w = -h + 9. Let d = 5366 - 5371. What is the smallest value in d, 4, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 162\nAnswer: -7\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159203, -318132, -477061, -635990, -794919?\nAnswer: -953848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2533*-0.0492\nAnswer: -0.01246236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 707022857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13)*m)\/(m*m**(-7)*m*m*m)*m\/(m*m**(-3\/10)*m)*m*m**(-9) assuming m is positive.\nAnswer: m**(-177\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 52980893.\nAnswer: -52980889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2443 divide 31177431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 1513?\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1041 by -1041.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(13*x**3 + 497*x - 497*x + 2*x**5).\nAnswer: -4*x**5 - 26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986858303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.55 + 18. Let z = r + 6.75. Let i = -7 + z. Is i at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25695 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 81, 165, 249?\n\"Answer: 84*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 = 0, 0*j + 3*j = 5*l - 34. Suppose l*k = a + 2*a + 15, 3 = k + 4*a. Factor -3*b - b**4 + 2*b - b**2 - b**5 - 1 + 3*b**2 + 2*b**k.\nAnswer: -(b - 1)**2*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 3*p - 2*p - 581 - 4*p + 677 to the form v*p**3 + l + b*p + z*p**2 and give l.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -184, -3 in decreasing order.\nAnswer: 4, 3, -3, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008.6 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3.6693 - -1538.7\nAnswer: 1535.0307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 37.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 210387 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 6*w - 16. Let p be (-1 - -2)*(0 + w) + 4. Solve -3*n + 8 = -n + d, -26 = -4*n + p*d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*c - z - 12, -3*c + 4*z = -4. Let h be (-1)\/(8\/(c\/1))*0. Suppose -u + 43 - 7 = h. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24*(-9)\/(-432))\/(2\/(-44)))\/(-7)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**14)\/(m*m**7*m)*m**(2\/105)*m*m**(-6\/19)*m assuming m is positive.\nAnswer: m**(-40492\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (148\/(-10))\/((-20)\/(-400)). Let f be (n\/(-518))\/(1\/7). Solve 0 = -s - 4*t + 1, 19 = f*s - 3*t + 4*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 8)*(2 - 7). Let i be (-294)\/(-35) + (-4)\/n. What is the common denominator of (-4)\/i*15*6 and 33\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*t + 270, t - j - j - 54 = 0. Let z be 2\/12 + 3\/t. Which is the third biggest value? (a) -2\/11 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -55?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 64\/4 - (-1 + 3). Let n be (-1)\/(t\/4 + -1). Do 1 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 2*x**2 + 0*x**2 + 5*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 2 + 2 + (-3 + 4 - 3)*(7*o - o - 4*o) - 2 + 2 - o + 3 + 4209*o - 5070*o - 3 to the form g + k*o and give k.\nAnswer: -867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111633 is divided by 988?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50\/111 + -8867\/4218. Calculate the common denominator of i and ((-57)\/(-8))\/(27\/(-84)).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66\/8 + (-2)\/8. Let v(o) = -9*o**2 - 8. Let h(a) = 6*a**2 + 5. Calculate n*h(t) + 5*v(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -467\/403 - -24\/31. Let b = w + 27\/104. Sort 0.5, b, 4 in ascending order.\nAnswer: b, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -454684.41 to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 - 4*q**2 - q - 4. Let r(j) = -5*j**3 - 3*j**2 - j - 3. Calculate 3*h(b) - 4*r(b).\nAnswer: 8*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -19. Let z be 2\/m + 16\/3. What is the units digit of z - 1 - (3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from lllkkkkkkkkkkkkk?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**3 - 546*t**2 - 2206*t + 9. Give w(-4).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from bgbzbbbhbbhbg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(9)*-1) + sqrt(11))**2 + 5 + sqrt(275).\nAnswer: 5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5826560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {q: 13, i: 6}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**4 - 3925*v**3 + 2*v**2 - 642688*v - 3 wrt v.\nAnswer: -24*v**2 - 23550*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f**4\/5 + 1376*f**3\/5 - 15686*f**2 - 10580*f = 0. Calculate f.\nAnswer: -2\/3, 0, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/509633 equal to 489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.412502 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-2)))\/d)**33\/(d*d\/(d\/(d\/d**(-2\/13))*d)*d*d**(-3\/2)) assuming d is positive.\nAnswer: d**(841\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51844937323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 33.72798 milliseconds?\nAnswer: 33727.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 51.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 41*q**2 + 68*q + 42. What is z(-22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*g - 5*g + 14943 = -242*g + 49*g for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 606*c**2. Let r(l) = 225*l**2 - 124*l**2 - 102*l**2. What is w(r(d))?\nAnswer: 606*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 623722335 rounded to the nearest 100000?\nAnswer: 623700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -208215851?\nAnswer: -208215843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-12) - (-2)\/3. Let m(x) = -x**2 + 26. Let z be m(w). Suppose -z*l = -29*l + 57. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 30 = 13*d + 4*o, d + 5*o - 41 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 11*y**2 + 19*y - 23. Let x be a(9). Find the common denominator of (x\/(-6) - 2) + 350\/30 and -81\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3. Let t = -276 + 278. Let v(z) = -2*z**2 + 4*z**3 - 4*z**3 - 5*z**3 - 4*z**3 + z**t. Calculate 8*j(r) - 3*v(r).\nAnswer: 3*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1741)\/(((-3)\/(-522))\/(9\/(-54)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/66*(82\/20 - 4).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/1014 and ((-25425)\/3549 + 7)\/((-24)\/7).\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44.02 + -44. Put 0.2, 3\/2, u, 2 in descending order.\nAnswer: 2, 3\/2, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7311*v**3 - 118*v - 41 wrt v?\nAnswer: -43866*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113880 and 12.\nAnswer: 113880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 12 = 2. Let h be (4 - (-1 + w)) + 3. Let y(d) = -d**2 + 16*d - 55. Let v be y(h). Solve 3*k + v = -f - 8, 0 = 4*k - 4*f + 28 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/2*(-10 + -2). Suppose 7*p = 2*k + 4*p, 5*k - 25 = -5*p. Suppose k*q - c = -2*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(12)\/sqrt(4) - sqrt(3)) + (sqrt(192) - sqrt(192)*-2 - sqrt(192)) + -3)**2 + -1.\nAnswer: -32*sqrt(3) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfsshzbyhbsfbz. Give prob of sequence fs.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -97. Let t = k - -52.18. Let p = -0.08 + t. Which is the closest to -2? (a) -2\/3 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t - 3. Let u(g) = 3*g. Give -2*s(v) - 6*u(v).\nAnswer: -4*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 3*o - 10, -10 = -11*o + 6*o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {b: 2, q: 9}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2261 * 3\nAnswer: -6783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 46 = -n, -z = 13*n - 11*n - 101. What is the remainder when 157 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p. Let l(t) be the first derivative of t**4\/6 - 15*t - 3. Let k(o) be the first derivative of l(o). Determine h(k(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 35*m**2 - 39*m + 103. Let u be l(36). Put 2, -3, 9, u in descending order.\nAnswer: 9, 2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 29007357 + 29007357.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-5))\/((-4)\/(-10)). Let x(n) = -n**3 + n**2 - 1. Let g(w) = 8*w**3 - 6*w**2 - w + 5. Give v*g(a) + 6*x(a).\nAnswer: 2*a**3 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 868 and 198562.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 160600 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*h + 6 = 0, -13*h = -12*h - 3. Sort j, 1, 5, 14 in descending order.\nAnswer: 14, 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-798)\/1365 + 1 + 1 + (-225)\/125.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132445986?\nAnswer: 2, 3, 22074331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165563599 divided by 3?\nAnswer: 165563599\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 40 = -5*z, 0*r + 5 = 2*r + 5*z. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhieeieehiheehei. Give prob of picking 2 i and 1 h.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/((-94)\/2115).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**3 - 9*q**2 - 3*q - 10. Let z(o) = -o**3 - o**2 - 1. Let t(x) = g(x) - 6*z(x). Let f be 2\/7 + (-184)\/56. What is t(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.383949ms to seconds.\nAnswer: 0.007383949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -3, 275, 6.\nAnswer: -3, -2, 6, 8, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)*-3)\/(sqrt(144)\/sqrt(3) - sqrt(12)).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 194\/(-1649) - 156\/(-459). What is the fourth biggest value in -70, f, -2\/9, 1?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -67. Find the second derivative of -2*y**v - 4*y**5 - 2*y + 27*y**5 - 17*y wrt y.\nAnswer: 420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*g**3 - 6*g**2 + 724*g + 70752874 wrt g.\nAnswer: -117*g**2 - 12*g + 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + d - 10. What is l in -2*l**2 + d*l**3 + 2*l**5 + 0*l**4 + 0*l**4 + 4*l**3 - 6*l**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + -2.183189.\nAnswer: -86.183189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4340 - 43477\/10. What is the common denominator of l and 290\/(-12)*(-12)\/(-15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4653075 divided by 5\nAnswer: -930615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from cbe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 896709?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*h**3 - 178*h**2 + 116*h + 48.\nAnswer: 2*(h - 12)*(h - 1)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/11 (b) 108 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6669 and 16168620.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*q - 4629, -5*c - q + 8528 - 813 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -326881 + -3289898.73.\nAnswer: -3616779.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*l = 1, -13 = 2*c - 3*l - 36. Suppose -n = c*n - 25. Suppose 0 = 6*u - 4*u - 4. Solve 6 = -3*o, -n*q + u*o + 0*o = 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13095130*q**4 - 5*q + 111649?\nAnswer: 157141560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117640531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28844, 57689, 86534?\n\"Answer: 28845*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 4595 = -760. Suppose -316*a + j*a = -3383. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 3*l**2 + 8*l + 1. Let z be f(2). Let y be (0 - z) + (-1700)\/(-476). Factor 12\/7 + y*h + 2*h**2.\nAnswer: 2*(h + 3)*(7*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 - 12 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1053) + (-2 + sqrt(1053) - sqrt(1053))*2 - 3*sqrt(156)\/(1*sqrt(192) + sqrt(192)))**2.\nAnswer: -69*sqrt(13)\/4 + 61957\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-50)*4\/(-2)*-8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*t + 11 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 + 59. Let w be (8\/v + 2 - -2)*2. Find the second derivative of -7*x**3 - 10*x + w*x**3 + x**3 - 3*x**3 wrt x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 1 + 1)*(-2*j**3 + 2*j**3 + j**3 + (3 - 3 + 2)*(-j + 2*j**3 + j) + 0*j**3 + j**3 + 2*j**3) as z*j + r*j**4 + f*j**3 + i + d*j**2 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.1 (b) -43 (c) 2\/37 (d) -34 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (-2*(-1*sqrt(84) + sqrt(84)) + sqrt(84) - sqrt(84)))\/((sqrt(48)*1)\/sqrt(4)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52839 by -1.\nAnswer: 52839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 4 - 2 - 0. Suppose l + 11 = 2*q - c, 2*q = 3*l + 13. Is 2 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 167 = 14*c - 0*c - 17*c, 2*x + 4*c = -100 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123994 - -228341. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6677106 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 9. Give u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(4*(-3)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13893, 55460, 124739, 221724, 346409, 498788?\nAnswer: 678855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41753933 - 14*z**3 - 41753933.\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (4 - 2\/8). What is the smallest value in 4, -1.5, 3\/5, i?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 62*r + 45*r - 90*r. Let h(c) be the second derivative of -c**5\/120 - c**3\/6 - c. Let t(f) be the second derivative of h(f). Give w(t(a)).\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 521825\nAnswer: -23\/521825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, -13581, -3, -2 in descending order.\nAnswer: 4, -2, -3, -17, -13581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/3 + -6. Suppose -10*k + 7 + 0 = -13. Which is the biggest value? (a) k (b) -3\/10 (c) p (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1017 - -1290. Calculate the highest common factor of 117 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.007 - -1.993. Which is the nearest to r? (a) 4 (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125807 and 3751?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3235663207.\nAnswer: 7, 23, 367, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13.62, 3\/13.\nAnswer: 3\/13, 3, 13.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 87544*i + 2625418. What is k(-30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-8) + ((-25)\/20 - -1). What is the smallest common multiple of 7 and (-12)\/s + 30\/(-10) - -2?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 4*d - 3*j - 24 = 0, 12 = d - 4*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 7 - (-4 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -6, 3 in descending order.\nAnswer: 3, -6, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 + 4*q - 4. Let l be 1*(-2 + -1 + 6). Let p be z(l). Is 5 a factor of -4 - (p + 2\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -12.75718.\nAnswer: -38.27154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-504)\/(-360))\/((-1)\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/1632 and 99\/90258848.\nAnswer: 270776544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8715?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101c37 (base 14) in base 8?\nAnswer: 2044371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*3*10\/(-45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p - 1. Let k be o(1). Suppose -52155 = -0*w - k*w. Is (-3)\/12 - w\/(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15e - 44c6c?\nAnswer: -44b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - w. Let t be 18\/(-14) + (-2)\/(-7). Let q be x(t). Which is the second smallest value? (a) q (b) -4\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.37909022 to 2 dps.\nAnswer: 28.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4 + 21534*b**3 - 3738456*b**2 + 146262402*b + 1634894523 = 0. Calculate b.\nAnswer: -9, 93, 7001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(2))\/sqrt(7) - 2*sqrt(2)*-6)**2 - ((-5 + sqrt(8)\/sqrt(4))**2 + sqrt(10)\/(sqrt(5)*2)).\nAnswer: 19*sqrt(2)\/2 + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 101?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-2*n - n + n)*(-53 + 157 + 66)*(5 - 3 + 0).\nAnswer: -1360*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n\/n**(-13))**(4\/13) assuming n is positive.\nAnswer: n**(36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1439477342 or 0?\nAnswer: 3\/1439477342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1122872, 2245763, 3368654, 4491545, 5614436, 6737327?\nAnswer: 7860218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 852\nAnswer: -51.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 c when three letters picked without replacement from {e: 1, c: 14}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68 or 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - -4.2. Let w = 0.0863 - 1.0863. Let d = 46\/27 - 376\/189. What is the nearest to w in d, k, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9082 - 8953. Solve -m - 5*b = 2, 127*m - l*m + 4*b + 10 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10581 - 6820. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6188\/(-156) - -40)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 - -1.5. What is the closest to -1 in t, -5, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2. Let w(f) be the second derivative of 4*f + 0 + 5\/4*f**4 + 0*f**2 - 1\/3*f**3. What is w(x(l))?\nAnswer: 135*l**4 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlq when three letters picked without replacement from {v: 7, l: 3, r: 1, q: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*2 + 4\/2. Suppose 76*n = 5933 - 5629. Put 3, n, -3, x in ascending order.\nAnswer: -3, x, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**4\/4 - 22719*x**3\/4 + 197844*x**2 + 214887*x - 407052 = 0?\nAnswer: -2, 1, 36, 7538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4677, 9359, 14047, 18741?\n\"Answer: 3*u**2 + 4673*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/(g*g**(-1\/4)))**(-3\/19) assuming g is positive.\nAnswer: g**(-63\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2*y. Suppose 3*v - 12 = 2*b, -b = 5*v - 1 - 6. Let o be 24\/10 + 4\/(-10). Put o, y, b in decreasing order.\nAnswer: o, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3922908 divided by -33\nAnswer: -118876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**3 - 2*t**2 - 21*t - 16. What is s(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*q = -156, -2*i = 4*q - 8*q - 312. Do i and 157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458715 greater than 1458718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, w: 10}. What is prob of sequence wddw?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + k**2. Let a be t(-1). Let h = a - -1\/4. Sort -1, h, 4 in decreasing order.\nAnswer: 4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -125 in -1, -3\/4, 63, -0.15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -17276471?\nAnswer: -17276474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/(-35) + (-9)\/(-15))*-95. Suppose -34 = -3*z - k. Solve -b = 4, 9*c - 4*b = z*c - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33594739, 67189494, 100784247, 134378998?\n\"Answer: -y**2 + 33594758*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0, 7\/8 in descending order.\nAnswer: 7\/8, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4*2\/(-6))\/(-61 - -75)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6433627020?\nAnswer: 2, 3, 5, 107227117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.26612538, 3 in decreasing order.\nAnswer: 12, 3, -0.26612538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25672884 is divided by 9897?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n. Let i(j) = j**2 + 11*j + 3. Let p be i(-11). Let m(f) = 3 - f - p + 0. What is m(z(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22371069 divided by 73.\nAnswer: 306453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16))\/((-5)\/100).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6)*21\/(-14) + (-255519)\/191884?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -244 - -240.316. Let d = -0.316 + b. What is the closest to -5 in d, -4\/5, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5)*(-5)\/6. Let x = 0.6 + -0.1. What is the closest to 2 in 1\/4, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/6, -2\/23, -3, -3\/4, -2\/1485, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(0 + 2\/12). Let f = u - -128. What is the highest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, 4, -3, 0.01.\nAnswer: -3, -2, 0.01, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1094039\/15 + -72978. Let f = -2465 + 7267\/3. Let m = f - l. Which is bigger: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1613 - 1723.3. What is l rounded to the nearest integer?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -123*g**2 + g - 1. Let w be n(1). Let z = w + 217. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -0*u + u - 22, 2*u - g = 8 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*9\/3 + 5. Let x(o) = n*o**2 - 89*o + 89*o. Let c(r) = 6*r. Determine x(c(p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 27*p**3 - 3*p**2 - p - 7. Let d be l(5). Suppose b - 3*g + d = 0, 2*b + 6580 = 4*g + g. Round b to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5*n + 15, -n + 4*n + 7 = 4*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-322)\/(2940\/(-210))*-2*(-1)\/(-10).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 2)*1 + 1. Let j = 126268 + -126256. What is the fourth smallest value in n, j, 2\/11, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17604, 35203, 52802, 70401, 88000, 105599?\nAnswer: 123198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48821.\nAnswer: 48821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0507715 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6 = 4*u, 5*u + 4*o + 4 - 25 = 0. Suppose f - 96 = -f. Calculate the remainder when f is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510398997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3294, -13216, -29754, -52908, -82678, -119064?\nAnswer: -162066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029)*-5)\/(sqrt(3) - (sqrt(108) - sqrt(108)*2)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2485, 2484, 2483?\n\"Answer: -x + 2486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -3. Let u(o) = o - 3. Let t be u(r). Suppose 0 = -t*d - 5*i + 31, -2*i = i + 3. Calculate the remainder when 22 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1048 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {v: 1, s: 3, q: 1, k: 4, h: 6}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 10*f - 18. What is the least common multiple of 10 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 30, 23, -22\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 287, -7\/15, -112, 4, 5\/6 in ascending order.\nAnswer: -112, -7\/15, 5\/6, 4, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -22. Suppose -20*y = -367 + 67. Calculate the highest common factor of d and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.751 + 375.249. Let a = v + -376.1035. Round a to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 114*m + 10. Let c be j(-7). Let k = c - -1545\/2. What is the common denominator of k and (-340)\/8 - 2*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 38 = -2*n, 5*n - 4634*x = -4629*x + 65 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*j - 17. Suppose 2*f - 24 = -2*c - 0*c, 0 = 4*f + j*c - 47. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84840.82 to the nearest ten.\nAnswer: -84840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:30 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 16*j - 26. Let v be h(-4). Let u = v + 269\/3. Let k = 0.2 - 1.2. What is the biggest value in u, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 - ((-9316)\/68 - -37)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v - 129 + 529. Suppose c + 22 = v. Solve 0 = 4*i + 2*x + 6, -5*i + 15 = -4*x + c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*g - 5 = 0, 0 = q + 2*q + 4*g - 37. Suppose 0 = n, -5*n = x - 8 - q. Let l = x + -10. Put 4, l, 2\/5, 3\/5 in ascending order.\nAnswer: 2\/5, 3\/5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1) + 24\/(-4). What is the lowest common multiple of (u\/(-21))\/(29\/(-15) + 2) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117 - 111. Let u(h) = 19*h**3 + 13*h**2 + 13. Let w(l) = -3*l**3 - 2*l**2 - 2. Give b*u(p) + 39*w(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -5\/8, 1.2, 4, 85?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*s + 633*s - 337*s + 2017*s + 1.\nAnswer: 2166*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-63304)\/(-20))\/((-85)\/(-25) + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104018 + 27391 = 1708*c + 23805 for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2\/169, 0?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 150899*k. Let g(y) = 7*y. Calculate g(n(p)).\nAnswer: 1056293*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3 - 55248*o**2 + 763085376*o = 0.\nAnswer: 0, 27624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*m + 6, 0 = 3*f - m + 8 - 0. Let r be (-3)\/f + 3 - (3 - 0). Put 5, -2, r in increasing order.\nAnswer: -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2107 to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5 + 6*j**4 - 8*j**3 - 2*j**2 + 9*j - 4 = 0. Calculate j.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17095652.94000026 + 17095652. Let l = c - -0.94. What is l rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**5\/5 - 507*g**4\/5 - 26448*g**3\/5 - 529548*g**2\/5 - 791424*g - 5999616\/5 = 0.\nAnswer: -93, -42, -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*18\/(0 - 1). Suppose -a = 2*y + y. Let g be ((-20)\/(-15))\/((-1)\/y). Solve 0 = -w - 5*i + 15 + g, 5*w - 4*i = -30 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*12\/(-270) - 4\/(-6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 4, 2, -439 in descending order.\nAnswer: 4, 2, 1, -5, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85140 and 48.\nAnswer: 340560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - k - 4*k + (2 - 1 + 0)*(-2*k + 0*k + 3*k) + 0 + k + 0 - k + 2*k + 3*k + (4 - k - 4)*(-4 - 1 + 3))*(-k**4 - 18 - 30*k**3 + 36*k**3 + 40).\nAnswer: -7*k**5 + 42*k**4 + 154*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28982825899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -m + 2, 0*m + 2*m + 4*j = -20. Let n be (-2)\/m + (-147)\/9. Round n to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 k when four letters picked without replacement from {c: 1, v: 9, k: 6, f: 2}.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/312, 10, 0, 1\/6, 314 in ascending order.\nAnswer: -1\/312, 0, 1\/6, 10, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2662)*2 + sqrt(2662))*1*-4)\/((sqrt(96)\/sqrt(4)*6)\/(sqrt(96)\/(sqrt(24)\/sqrt(3)))) + -2.\nAnswer: -22*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = 7*h. Let v be 2*(-2 - -1) + h. Which is the second biggest value? (a) -1\/3 (b) v (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {n: 2, w: 1, d: 4, m: 2, r: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -8025\nAnswer: -48150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**4*m**3 - 16613*j**4*m**2 - m**3 - 2028*m**2 - 7*m wrt j.\nAnswer: 8*j**3*m**3 - 66452*j**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2592)\/(-43200))\/(108\/(-24))?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 19 = -4*i, 3*n - i - 31 = 0. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 - 10\/(-4). Calculate the greatest common factor of l and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103190999.\nAnswer: 1279, 80681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 9\/1155017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/5)*x**(-2\/31)*x**(-9)*x**(-3\/4))**(-1\/46))**(-32) assuming x is positive.\nAnswer: x**(-22852\/3565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11525 by -5.\nAnswer: 2305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15752.25 and -443.2?\nAnswer: 15309.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**4 - 16*w**2 + 4*w**3 - 4 + 3*w**4 - 8*w**4 wrt w?\nAnswer: -72*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 21 - 2 - -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/6, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 121\/806662 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3578*b + 5667*b - b**2 - 9246*b - b**2.\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19057 - -19100. Solve 43*b = 80*b - u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28848 and 1803?\nAnswer: 28848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**6\/30 - 71*n**4\/12 - 81*n**2 - 132*n - 136. Let t(q) be the first derivative of j(q). Differentiate t(k) wrt k.\nAnswer: 4*k**3 - 142*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a factor of 592311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b - 53*b - 88 = 368 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 = c, 0 = 3*s + c - 11. Suppose 3*v + o + 1 = 0, v + 2*o = -0*v + 8. Put v, s, 34, 2 in increasing order.\nAnswer: v, 2, s, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 25847591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-1)\/(-2)*1). Let t(r) = r**2 - 3*r - 1. Let f(o) = -3*o**2 + 8*o + 3. Let j(s) = -3*f(s) - 8*t(s). Give j(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 252\/21 + -1 + -4 + -2. Solve -11*x + m*x - 6 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2 - 2*o - 4. Let k be u(-2). Suppose 6*w - 2*w = k. Which is bigger: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1287?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 104 + 14 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4700936?\nAnswer: 2, 587617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -5 (b) 2\/7 (c) -5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59805, 59807, 59809?\n\"Answer: 2*w + 59803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114615872 and 3200.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-24)*(-6)\/(-27)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (4 + sqrt(320)*-2)) + -3 + 4*-1*sqrt(320)*2 + -5)**2 + -5.\nAnswer: 960*sqrt(5) + 8139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 17*z + z)*(0*z + 2*z - 4*z)*(5 - 6 + 18) + z - z + 2*z**2 + (3*z - 4*z + 2*z)*(0*z + 4*z - 3*z).\nAnswer: -473*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 223736 and 7?\nAnswer: 1566152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.738 and 0.2.\nAnswer: 0.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c - 2. Let j be q(-4). Suppose o = -4*o + j. Find the common denominator of -2\/5 and o\/(-11) + 710\/(-88).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21300 or 20919?\nAnswer: 21300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16010 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 + 68. Suppose 16 = -2*x + 3*j, -40 = n*x - 0*x + 3*j. Find the common denominator of (-1)\/x*(-1)\/33*-652 and 101\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.18, -5, 4.903, 0, 0.1, -4 in descending order.\nAnswer: 4.903, 2, 0.18, 0.1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1060.327ml?\nAnswer: 1.060327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 11*p - 3. Let w be n(-3). List the prime factors of w\/((-15)\/6 + 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**4\/12 - 7*r**3\/6 - 30*r**2. What is a(11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 699996 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-33 + 71 - 33) + 1 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1930 divided by 77838.\nAnswer: 965\/38919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(((h\/(h**(-7\/6)*h))\/h)\/h)*h)*h)**(1\/76) assuming h is positive.\nAnswer: h**(-5\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 163800643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.05 + -7.3. Is x smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 998198.9\nAnswer: 99819.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4407 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 52322 to the nearest 1000.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -19 - -11 - 20) + 74\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5173110 by 10305.\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 50. What is p(15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Let v = -309.7 - -306.7. What is the second biggest value in v, m, -1\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -5*z. Suppose h = z*v + 3, 2*v + 1 = 4*h - 11. Suppose v = 5*b - 48 - 2. What is the least common multiple of b and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170134\/19 or 8953?\nAnswer: 8953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l + 275. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 + 3*j + 3. Let y(r) = -6*r + 23. Let h be y(4). Let i be b(h). Solve i*u - 2*p + 0 - 16 = 0, p + 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voxroovvoovro. Give prob of picking 1 o and 1 x.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.27. Let r = -0.081 - 0.419. Which is the nearest to -1\/2? (a) r (b) 1\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*((sqrt(78) - 2*sqrt(78)*3) + -3*1*sqrt(78))\/(sqrt(54)\/(1*sqrt(576) + sqrt(576))).\nAnswer: -512*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (8 + -18) - (-2 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 746 (c) 1\/6 (d) -3 (e) -0.0429 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 152.\nAnswer: 3, 4, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*q + 11*q + 50. Suppose -q = 2*f, -5*z = -46*f + 41*f - 3705. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvj when three letters picked without replacement from {j: 5, v: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -15815.7155 to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87962*f**6 - f**2 - 9317*f + 3.\nAnswer: -10555440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19790 or 257278\/13?\nAnswer: 19790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15672 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x + 32 = -52 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 28*g - 32.\nAnswer: 4*(g - 1)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/11))**(1\/3) assuming y is positive.\nAnswer: y**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25261, 50527, 75801, 101083?\nAnswer: 126373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*h + 169, -2*f = -5*f - 3*h + 417. Let d = f + -153. Let t(s) = s**2 + 10*s - 3. Calculate t(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/4 (b) -0.048 (c) 191 (d) 3 (e) 0.3 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 435071900 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 6 + (0 - 0). Find the third derivative of -4*f**2 + 5*f**2 - f**4 - l*f**2 wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 5:23 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7032 (base 10) to base 16\nAnswer: 1b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((1 + -2 + 3)\/(-17))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1031230 to the nearest ten thousand.\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12655831 and 22043.\nAnswer: 3149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1970, 2421, 3158, 4175, 5466, 7025, 8846, 10923?\nAnswer: 13250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 1\/4*b**4 + 0*b**6 + 0*b**2 + 0 - 2\/21*b**7 + 3*b + 0*b**3 + 0*b**5. Find the third derivative of t(u) wrt u.\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iso when three letters picked without replacement from pphhaoiiioospoo.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(1100) - sqrt(1100)) + -4 + 6*sqrt(1100)*-1 + sqrt(1100)*-2 + -1)**2*-2*4.\nAnswer: -9000 + 800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 57*i**2 - 6*i. Let w(y) = 58*y**2 - 5*y. Calculate 4*u(c) - 5*w(c).\nAnswer: -62*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595727.\nAnswer: 11, 31, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3903 (b) -0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxbbktbbbkbxbxbpkbx. Give prob of picking 1 b and 2 k.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58906545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjj when three letters picked without replacement from {j: 3, z: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 21 = 26*x, -6*x + v = -14*x + 5*x + 37 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - 6*x - 8. Let d(w) = 5*w**2 - 12*w - 16. Let f(v) = -4*d(v) + 7*m(v). Calculate the remainder when 21 is divided by f(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s**2 - 11*s. Let r(q) = 7*q**2 - 6*q. Let g = -2 + 13. Let i(n) = g*r(n) - 6*f(n). Let x(v) = -v**2 - 2711 + 2711. Determine x(i(l)).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*z + 2 - 1 = 0, 3*w + 5*z = 18. Is 5 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3582*v + 1787*v - 49 = -1796*v for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*f + 16. Suppose -k + 6*k = -n + 22, 22 = f*n + 4*k. Let s(x) = -x**2 - 11*x. Let w(v) = -2*v. Determine n*s(d) - 11*w(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 1.8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -124 + 21 + -6 - (24 - (-30 - -62))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q - q)*(0 + 1 - 3) + 2*q - 3*q + 0*q + (0*q - q + 0*q)*(3 - 2 - 2).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4636 - 9282 - 6*c**2 + 4646.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8)*c)\/c**12)**(-16) assuming c is positive.\nAnswer: c**304","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*h - 4*h - 26, z = 4. Suppose -9*p = -h*p + 2028. What are the prime factors of p?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssmssssssssms?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m**3 + 4598036*m**2 + 5619776*m + 1021776 = 0 for m.\nAnswer: -127722, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -434 divided by 31?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 573, 1193, 1909, 2763, 3797, 5053?\nAnswer: 6573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 727034316 * 0.1\nAnswer: 72703431.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n + 60 = 52*n. Suppose -6 = -n*y + 44. Let u(d) = -d**3 - 3*d**2 + 5*d + 5. Let x be u(-4). What is the second smallest value in y, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/6)\/(63\/168))\/(200\/36).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n. Let j(a) = -8*a. Let u(o) = 28*d(o) + 4*j(o). Suppose -f = x + 2 - 1, 0 = 3*x - 5*f + 3. Let l be u(x). Let s(g) = 2*g - 2. Give s(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20082 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10704963*w**2\/5 + 28765692*w + 96621660.\nAnswer: 3*(1889*w + 12690)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(112) - sqrt(900)\/sqrt(12).\nAnswer: -19*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161512 and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 102, 271, 584, 1089?\n\"Answer: 8*i**3 + 17*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, y: 4, s: 4, j: 5}. What is prob of sequence jssj?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 39*t**2 - 5*t - 60. Is c(-37) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368550896 and 692?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.63 - -6.33. What is the nearest to -1\/2 in -2\/7, -2, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 15*v**2 - 95*v + 23. What is m(7)?\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-112)\/7)\/8)\/(5*(-9)\/360).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11122121 (base 3) to base 8.\nAnswer: 6477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 0 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -10*w + 14*w + 17, -3*x = 3*w - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7999?\nAnswer: 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4972009 to the nearest integer?\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29190.\nAnswer: 2, 3, 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2795791 - 2795791 + 8110*q.\nAnswer: 8110*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 9:06 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -5*m**2 + 3\/2*m**3 + 0 - 1\/24*m**4 + 0*m - 1\/60*m**5. Determine k(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1017*g + 532*g - 78810 = -835*g + 231110 for g.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -32617, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7660 divided by 383?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 12, h: 3}. Give prob of picking 3 k.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 3 = -43 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 42282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8496 is divided by 2808?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*s - 1)*(-17 + 17 - 8*s) - 4*s**2 + 3*s**2 + 0*s**2 in the form b*s + d*s**2 + n and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, x: 8, k: 1}. Give prob of sequence fx.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33611718527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 319 = 5*f - 6, f - 5*u - 41 = 0. Suppose -2*r = 5*n - 29, -5*n + 17 = 4*r - f. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/5 (b) -2\/15 (c) -4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146662054 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1706*d - 50. Let c(g) = -853*g + 30. Calculate -5*c(x) - 3*v(x).\nAnswer: -853*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10408?\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 925*j**4 + 380190*j**3 + 38878365*j**2 - 38622940*j - 636540 = 0.\nAnswer: -206, -3\/185, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 8. Suppose 6 = -k + 4*r, -3*r + 4 = -k - n*r. 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 (c**2 + 0*c**2 + 0*c**2)*(1 + c - 1 + (c + 3*c - 3*c)*(1 - 1 + 1)).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 474.825 - 481. Round j to one decimal place.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/3 + 41048*b**3\/3 + 737406*b**2 + 9948420*b = 0.\nAnswer: -20470, -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4) - (sqrt(7) + sqrt(7) + 0 + 4))**2*-3*4.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhhqghhqbglnhl. What is prob of sequence gghl?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17262709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5 = -11*z. Let i be 13 - (-3 - 0 - z). Let a = -73 - -88. Calculate the highest common factor of i and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*z = -77*z. Solve z = 9*l - 6*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(99) - sqrt(99) - (sqrt(891) + 1*sqrt(891) - sqrt(11) - sqrt(11)).\nAnswer: -13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133243030 (base 5) to base 4.\nAnswer: 2212100313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*o**3*z**2 - 6*o**3*z + o*z**3 - 2*o*z - 2*o + z**3 wrt z.\nAnswer: 72*o**3 + 6*o*z + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 82?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x - 16. Let a(t) = t + 1. Let p(b) = 2*a(b) + d(b). Differentiate p(f) wrt f.\nAnswer: -3*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45 and -60.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2. Let b(i) be the second derivative of -11*i**3\/2 - i**2\/2 + 26*i. Determine b(s(f)).\nAnswer: -66*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41 - -337?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 - 20)*(1 + 1 - 3)*(-3*d - 2*d + 3*d).\nAnswer: -40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9186364, -9186369, -9186388, -9186427, -9186492?\nAnswer: -9186589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.325 times -104.6?\nAnswer: -33.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuquuq. Give prob of picking 1 u and 1 q.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d864ef + -4?\nAnswer: -d864f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkgg. Give prob of sequence gk.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5150 * 0.00978.\nAnswer: -50.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -244.9627 + 245. Let h = -0.038 + w. What is h rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 584512 and 896?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*sqrt(19)*1.\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*h**5 - 76*h**5 + 18*h**2 + 63*h**5 wrt h?\nAnswer: 2400*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 13. Let y be h(-9). Suppose 4 = y*b + 2*x - 2, b - 4 = 2*x. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001110 (base 3) to base 4\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 50, 0, -53 in increasing order.\nAnswer: -53, -31, 0, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -865541 equal to -865553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-seven halves of a litre?\nAnswer: 48500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-14)\/2 + 4). Suppose -4*q - 256 + 280 = o. Solve q = -3*f - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6869, 117, -3, 4.\nAnswer: -5, -3, 4, 117, 6869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s, -s = -2*d + 2*s + 50. What is the second derivative of -10*h - 3*h + d*h - 89*h + 94*h**4 wrt h?\nAnswer: 1128*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 24 = -3*p + y, 4*y + 6 = -2*p. Let l be -38*-2*5\/10. Let f = l + -35. Solve -p*n + 2*a = -23, -f*n - 6 = -n + 3*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/5, -659, 4966 in descending order.\nAnswer: 4966, 2\/5, -0.1, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let t(f) = 2*f - 2635. Give q(t(a)).\nAnswer: -2*a + 2635","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -36.1. What is the biggest value in x, -4\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*8\/(-38). Let d = -1382\/9 + 154. Let g = 2 - -3. Put z, g, d in ascending order.\nAnswer: z, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 44*b**3\/3 + b + 9. Let t(z) = -z**2. Determine c(t(n)).\nAnswer: -88*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -96420 divided by -9\nAnswer: 32140\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 116094576?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - 19. Let n be (2 - -2332)\/(0 - 3\/c). What is n rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/13, -21.03, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 35*a**2 + 65*a - 19. Let z be g(36). What is the highest common divisor of 50 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 304306 = -4*b, -5*b - 2*v = -521496 + 141091. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201620?\nAnswer: 2, 5, 17, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -666 + 665.98. Let m = -0.12 - -2.12. What is the third biggest value in -0.3, g, -0.5, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 + 0.16?\nAnswer: 120.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35571.\nAnswer: 3, 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2\/3 - 72656*q - 217972\/3 = 0.\nAnswer: -1, 54493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p. Let n be (-8)\/3 - 2\/6. Let y(j) = j**2 - 2*j - 1. Suppose 0 = -5*h + 8*h - 6. Suppose -h = -4*z - 10. What is n*f(v) + z*y(v)?\nAnswer: -2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/4 + 13*(-1596)\/1092?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8664.3 rounded to the nearest ten?\nAnswer: -8660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8035, 8023, 8011?\nAnswer: 7999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2062255 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**38*a**(-3)\/a**5)**33 assuming a is positive.\nAnswer: a**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f**2 - 7 + 22 + 0*f**2 + 13 wrt f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4653 is divided by 65.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 614 + -617. What is the biggest value in l, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -238*x + 67. Let q be g(0). Suppose 3*o - f - 180 = 17, -8 = 4*f. Which is smaller: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -8. Let k(m) = 2*m + 0*m + 12 + 21 - 35. Let l(x) = -2*x - 4. Let h(s) = 3*s + 5. Let y(n) = -3*h(n) - 4*l(n). What is t*k(i) - 4*y(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 + 0.03. What is the nearest to -0.1 in -2, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.7861793 rounded to the nearest integer?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8660*h**4 + 7*h**2 + 1121*h + 8. Let s(c) = 5773*c**4 + 5*c**2 + 747*c + 5. Let l(b) = -5*d(b) + 7*s(b). Find the second derivative of l(p) wrt p.\nAnswer: -34668*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 26. Let s = 7 + i. Suppose -s = -0*w - 2*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 3*r**2 + 7*r - 8. Let i be a(-5). Let z(c) = -3*c**3 + 20*c**2 + 16*c - 4. Is z(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 -105, -191, -343, -573, -893, -1315?\nAnswer: -1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11001011111000100 (base 2) to base 15\nAnswer: 20de3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(108) + sqrt(27))**2 - (-3*sqrt(147))**2) + 1.\nAnswer: -1079 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 5 + (4 - 2 + 0)*(-4 + 1 + 2) + 0 + 4 + 0)*(-45*s**4 - s + 29*s**4 - s) in the form q + n*s + v*s**2 + k*s**4 + h*s**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3522?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 36 = -3*r + 5*j, 3*r - 11 = j. Determine x so that -x**4 + 4*x**r - x**3 - 4*x**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20661\/14 - 1477. Let i = 12\/7 + g. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356.93*0.0212\nAnswer: -7.566916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 21 = -42. Solve 5*w - 3*v + 2*v = -1, f*w + 2*v - 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 6*c + 1. Let w = -10 + 6. What is the least common multiple of 8 and j(w)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {z: 1, g: 2, w: 4, i: 1, u: 3, l: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.3 - -5.3000073. What is u rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151946076 rounded to the nearest one hundred thousand?\nAnswer: -151900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(7*14\/(-147)*9)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**2 + 696*w - 350*w - 346*w.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004319954 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (-6 - (11 - -14 - 51))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1219 + -827. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 520 = 2*d + 4*w, -4*w - 16 = 0. Suppose -6*k + 0*k + d = 0. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113278444*f**6 + 541*f**2 + 90502*f + 1 wrt f.\nAnswer: 13593413280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a**3*p - 225*a**3*r - a**3 - 2*a*p**4*r - 39*a*p**2 + 2*a*r wrt p?\nAnswer: 3*a**3 - 8*a*p**3*r - 78*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/14)\/(35\/(-98)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1736*v + 3195 = 1970*v + 7374*v + 701235 for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -199 (b) -0.3 (c) 3 (d) 0.5 (e) 1\/14 (f) 3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1193866.\nAnswer: -2\/596933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 132*y**3 + y**2 + 28*y - 28. Calculate w(1).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 31 (c) 183868\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 954446 by 208.\nAnswer: 477223\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/30498627 and 77\/45.\nAnswer: 457479405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6 = 3*i. Suppose 0*c - 5*c + 170 = i*j, -j = 4*c - 66. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764317 (base 8) in base 10?\nAnswer: 518351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p - 54. Let z be x(10). Let i be (z\/(-24))\/(10\/135). Let u(g) = g - 5. Give u(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/4 of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1199, 4719, 10563, 18737, 29247, 42099?\n\"Answer: d**3 + 1156*d**2 + 45*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 13 = -5*t + 42, t + 3*h + 9 = 0. Let k be t\/(-6) - 5\/((-15)\/2). Sort k, 1, 3\/4, 4 in decreasing order.\nAnswer: 4, 1, 3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.4 less than -375725.745?\nAnswer: -375802.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 421286 (base 9) to base 13\nAnswer: 89bcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015947083 rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169643115?\nAnswer: 3, 5, 19, 198413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*2*7\/126*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from itiitsiit?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190535039 to the nearest integer?\nAnswer: 13803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 39 + 21. Let w = u + -26. Solve -5*y + 4*t - 13 = -41, 0 = -3*y + w*t + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -16*u - 6. Let x = -0.1 + -0.4. Which is the closest to -1? (a) -0.1 (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**3 + 4*v**2 + 1. Let d be 42\/(-9)*(-126)\/147. Let g(y) = -y**2 - y. Determine d*g(i) + l(i).\nAnswer: -3*i**3 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -119 and -119 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**2*y**2 - 24107982*s**2 - 787944*s*y**2 + 3*y**2 wrt y.\nAnswer: -2*s**2*y - 1575888*s*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 208*f**2 + 11*f + 50. Is u(10) a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Suppose 3*i - 44 = i - 2*x, 3*i - 4*x - 38 = u. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.32 + 9.32. Which is the smallest value? (a) 23 (b) o (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from {t: 8, d: 4, a: 1, j: 1, k: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is bb435 (base 14) in base 3?\nAnswer: 212001012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009165658 to 7 decimal places.\nAnswer: -0.0000917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 - 21 = -4*g, -2*g = -2. Let q(t) = -2*t**2 - 23*t + 13. Let s be q(m). Solve -2*f + s = -5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1443 is divided by 720.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 6*h + 5. Let b = -14 - -9. Let p be w(b). Solve -5*o + 4*k - 3 = -p, 0 = -3*o + k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 13312.\nAnswer: 93184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/2 - 115*z**4 - 12121*z**3 - 147214*z**2 - 222863*z\/2 + 270881 = 0. Calculate z.\nAnswer: -67, -13, -2, 1, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (9 + -5 + 20)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -1\/9 (c) -3\/2 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2608, 2648, 2750, 2944, 3260, 3728, 4378?\n\"Answer: 5*o**3 + o**2 + 2*o + 2600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*x - 8, 5*x + 8 = -3*t + 7*t. Let a = 5 - -4. Suppose 4*i = -5*l + 12, 0 - a = -3*i - 4*l. Solve i*k + x = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31100, -65514, -99928, -134342, -168756?\nAnswer: -203170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) -968 (b) 3\/7 (c) -189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 903.6175t to milligrams.\nAnswer: 903617500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 + (-684)\/(-60))*5. Let z(r) be the third derivative of -1\/150*r**5 + 1\/60*r**4 + 0 - l*r**2 + 0*r + 0*r**3. Factor z(u).\nAnswer: -2*u*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35282927 or -2?\nAnswer: -35282927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2499784 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)*b*b**10 assuming b is positive.\nAnswer: b**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1840)\/(-874) + (-4)\/38. Suppose 0 = 2*d - 0 - 4. Suppose -4*p = -2*l + 20, d*l + 0*p - 5 = p. Solve 4*c - 14 = 2*y, -y - q*y - 4*c - 11 = l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**2 + 1\/12*h**4 + 5\/6*h**3 - 8*h + 0. Calculate y(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from mmmhhhhhmmhhhmmhmm?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(4\/19))**(-2\/43)*((p*p**(-6\/25)\/p*p)\/p)\/((p\/((p**(-5)\/p)\/p)*p)\/p) assuming p is positive.\nAnswer: p**(-169052\/20425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6131000 to the nearest one hundred thousand.\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (45\/(-30))\/((-1)\/(-3)). Is w less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 10. Let f(q) = q**2 + 2*q - 1. Let r be f(-4). Let o(a) = -2*a + 7. Let d(w) = r*o(w) - 5*n(w). What is d(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00450181105 rounded to four dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 2. Let p be u(-4). Suppose -2 = -2*q - p. Sort -5, 4, q in ascending order.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 4*b - 8. Let w(k) = 2 + 0 + 4*k - k**b + 3. Calculate w(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 48. Calculate the greatest common factor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 626\/1413 + 2\/1413. Sort -4, 1\/5, -0.1, v in increasing order.\nAnswer: -4, -0.1, 1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81728225 to the power of 1\/2, to the nearest integer?\nAnswer: 9040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*o = 0, -2*l = l - 3*o - 3. Suppose -6 = -2*y + l*y. Which is smaller: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - w**3 + 6*w**3 + 1)*(21 + 3 - 1).\nAnswer: 115*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12543 take away -3?\nAnswer: -12540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 15*i - 11. Let m(z) = z + 7. Let k(x) = 2*x + 7. Let o(a) = -3*k(a) + 2*m(a). Let j be o(-5). Is t(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(-135) - (47\/(-9) - -3). Suppose 0 = a*n - 5*n + 4*o + 19669, 3*n + o = 19694. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 25*k + 74. Let p be s(8). Let z(j) = -j**2 + j - 1. Let a(d) = -d**2 + 4*d - 2. Calculate p*z(y) - a(y).\nAnswer: -y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0395 from -14.\nAnswer: -14.0395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 + 3.07. Let j = 0.7 - 3.7. Let l = -0.04 - 0.46. Put j, z, l in descending order.\nAnswer: z, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(2*7\/(-14)). Let f(k) be the first derivative of 2*k**2 - k + 1. Let q be f(1). Solve 5*c + n + o = 0, -n = -q*c + 3*n - 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 - 3*d**4 + d**4 + (0*d + 0*d + 2*d)*(-5*d**3 + 0*d**3 + 4*d**3) + (-1 + 0 + 2)*(3*d**4 + d**4 - 3*d**4).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35034 - -35035. What is the nearest to 1 in -1, g, 698?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/147 + -151\/294. Suppose 5*n = 7 + 33. Let o(d) = d**3 - 8*d**2 + d - 8. Let f be o(n). What is the biggest value in -0.3, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*u**4 - 559*u**3 - u**2 - 1513*u - 698 wrt u.\nAnswer: -564*u**2 - 3354*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 25*b**2 + 15*b - 50. Let x(m) = -m**3 - 12*m**2 + 8*m - 25. Let t(j) = 2*r(j) - 5*x(j). Let y be t(-11). Are 14 and y non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1700) + 1 + sqrt(1700) - 6*sqrt(1700)*3)**2.\nAnswer: 435200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10}. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -340*i + 331*i - 4 + 12 + 13*i**2. Is b(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*n - 2193 = 0, -4*n - 502 = -4*a + 1238. Suppose -w + 4*t + 305 = 0, 0 = -2*w - t + 137 + a. Suppose -5*d + w = 4. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 943918143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbrsrbbsb. What is prob of picking 3 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:07 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(8))**2 + -4 - (sqrt(32) + -4)) + (sqrt(18) - sqrt(2)) + 2 + ((0 + sqrt(2) - sqrt(2)) + 0 - sqrt(2)) + -1.\nAnswer: -3*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18) + -4*5\/(-180)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*m + 45*m + 20. Let o(s) = 3*s**2 - 8*s - 4. Let c(x) = -8*x**2 + 24*x + 13. Let k(q) = m*c(q) - 11*o(q). What is k(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 5*o**2 + 3*o + 1. Let m be g(-4). Suppose 11 = -m*l + 71. Solve -l = 2*s - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 4*x**2 - 5*x - 4. Let c be r(-3). Let p be -2*(c - (-9)\/(-6)). Calculate the common denominator of -95\/14 and -3 - p\/44*214.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12 - -9)*-17*(-1)\/(-3). Suppose -y = -6*q + 19. Solve -q = 3*r + d, -r + d = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l = -3692 + 3988 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -0.21, -19207, 0.3?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1483872 and 2682384?\nAnswer: 69741984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - w**2 - 14*w + 8. Let p be q(4). Which is greater: -2\/439 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-12)*(-34)\/(3536\/12)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p + 24. Let x(n) = 47 - 31 + 7*n + 0. Determine -5*f(t) + 8*x(t).\nAnswer: t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2. Let q be (1*n\/1)\/(-4). Let p(w) = w**2 + 20*w - 45. Let f be p(-22). What is the closest to f in -2\/13, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2928*d - 2956*d - 392 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/34 - 115\/238. What is the smallest value in 1, h, -2\/27?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 + 1311*q**3 - 118560*q**2 + 664812*q = 0.\nAnswer: 0, 6, 118, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 49. Let k = 3.7 - -1.3. Let w = j + k. Which is bigger: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**3\/4 - 10994623*s**2 + 87956996*s - 175914000 = 0.\nAnswer: -43978500, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*d - 92*d + 9911 = -3*q, -32 = -4*q. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Suppose 5*w + s*f - 3*f - 197 = 0, 5*w - 5*f - 185 = 0. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5532638, 5532658, 5532692, 5532746, 5532826, 5532938?\nAnswer: 5533088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -312*r - 115*r + 76*r to the form m*r + c and give m.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*w - 237. What is the common denominator of 12\/(-100)*30\/4 and w\/(-18) - (-2)\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - a + 0*a - 10*a - 5*k + 60 = 0, 3*a - 32 = -5*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 3*d**2 + 9*d - 11. Let a be z(5). Let n be ((-9)\/12)\/((-2)\/a). Suppose -9 = 15*f + 6. Sort n, 5, f in increasing order.\nAnswer: n, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 118999160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 47*d = -98 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + -2.7. Which is the third biggest value? (a) 2\/7 (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - f + 62907, -14*a + f = -10*a - 83862. What are the prime factors of a?\nAnswer: 3, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14 - (3 - (0 - -1)). Let y = -20 - x. What is the common denominator of 3\/2 and 27\/8 + (y - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = i + 4*j - 6, 3*i - 2*j = 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence loil when four letters picked without replacement from {l: 7, i: 9, o: 2}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 20. Let i be g(6). Suppose 18 = i*j - 22. Find the first derivative of -j - 6*l + 16 + 6 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5938.9 times -301.3?\nAnswer: 1789390.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 - 3*i**2 + i**2)*(0*i - 3*i**2 + 0*i) + (75*i - 31*i - 34*i)*(2*i**3 - 9*i**3 + 0*i**3) in the form c*i**2 + q*i + j*i**4 + x*i**3 + t and give j.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 1) + -1 + (51 - 57)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36\/7 + 33\/14. Let w = s - 7. Is 0 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 277*c - 26 - 583*c + 363*c to the form z + v*c and give v.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhlhlhh. Give prob of picking 2 h and 1 l.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*(-1)\/(-10)*3695\/1478?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 331445962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 564846431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1529*m + 2356 - 2495*m - 5979 with respect to m.\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 - -130. Solve c*q - 4*f = 4, -8 = -5*f + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3407\/39 - 14118491\/161616. Is -1 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 1 = -3*m, 194*t - 189*t = m - 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2)*1*8\/40?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n - 6 = 0. Solve 0 = -4*u + 2 - n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2393 + 1803 = -218*w + 2898 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from yyaayaaaaaaaaaa?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1163*r + 1. Let f(x) = 17*x. Give 4*f(s) - l(s).\nAnswer: -1095*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-8))\/(1\/2). Let g be 3\/(12\/5) + i. Let u = -39\/2 + 21. What is the biggest value in 0.1, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3636*y + 3633*y - 7265*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) -3\/2 (c) 5 (d) -1\/43326\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18296897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 + 6*q + 4. Let x(u) be the first derivative of -u**2\/2 - 3. Let i(y) = -b(y) - 6*x(y). What is the first derivative of i(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - -170. Let m(z) = z**2 + 340*z - 21705. Let f be m(55). What is the greatest common factor of f and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.28 and 0.001?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*o**4 - 115*o**3 + 206*o**2 - 35*o - 48.\nAnswer: -(o - 1)**2*(o + 16)*(8*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 111 = -64 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3\/5 + 24*r**2 - 1071*r\/5 - 2646\/5 = 0. What is r?\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1606 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/4 of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i - 64. Suppose -83 - 21 = -52*w. Calculate the remainder when i is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.72 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4\/7 (b) -2\/13 (c) 3409 (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**6\/360 - 17*d**5\/180 + 7*d**4\/36 + 16*d**3\/9 - 2154*d**2. Solve f(c) = 0 for c.\nAnswer: -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*h**4 + 11\/5*h**2 + 2*h**3 + 0*h + 0 = 0. What is h?\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 85116, 85094, 85038, 84930, 84752, 84486, 84114, 83618?\n\"Answer: -3*i**3 + i**2 - 4*i + 85122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 1200.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -12. Suppose -5*p - 5 = i, x = -4*p + 1. Calculate the remainder when 34 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 + 4*b**3 + 571705*b - 571705*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1012 = -17760*g + 17738*g for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 14*o - 4. Give x(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v - 3. Let u be m(4). Let k = -38 + 64. What is the greatest common factor of u and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 3.5. Let n be (0\/1 + 0)\/((-5)\/(-5)). Let k = -0.99 - -1.29. Which is the nearest to n? (a) -2 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2. Let v(s) = 23*s + 278*s - s. What is t(v(u))?\nAnswer: 90000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -18*t + 12. Let n(w) = 7*w - 5. Let j be (4 + (-48)\/18)\/(1\/(-9)). Let x(o) = j*n(o) - 5*z(o). Let k(p) = -11*p**2. Give x(k(d)).\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49550.\nAnswer: 2, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-303)\/202 - (23\/(-1) + 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - 8. Suppose -2*y - i - v*i - 12 = 0, -4 = 5*y + i. Suppose o + 2*n + 7 - 42 = y, 219 = 5*o - n. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 + (-125677)\/(-45). Let w = r - 2790. Calculate the common denominator of (-12)\/(-9) - 16\/(-54)*12 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3229, -3243, -3273, -3325, -3405, -3519?\n\"Answer: -l**3 - 2*l**2 - l - 3225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 6) + -1 + (-8)\/20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + sqrt(1088)*1 + 3 + -3 + 0 + sqrt(1088)*1)*-4.\nAnswer: -20 + 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a9 + -11a6?\nAnswer: -10b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -37128 equal to 205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1434155, -1434214, -1434311, -1434446?\n\"Answer: -19*u**2 - 2*u - 1434134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 608652 divided by 6?\nAnswer: 101442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 2*t + t)*(48 - 447 - 171).\nAnswer: 570*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 37, 4886.\nAnswer: -7, 37, 4886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**3 + 345885*w**2 + 3459305*w + 3113415 = 0.\nAnswer: -9, -1, 69187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867375.\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -23883.083119?\nAnswer: -23883.083119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -40*j - 150. Calculate the smallest common multiple of f(-5) and 30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (4 + -2))\/(-2 - -3). Suppose 0 = -4*b - 2*g + 10, n = 3*b + 3*g - 8 + 2. Suppose 8*j + 2*z = 4*j + 38, 0 = b*j - 4*z - 12. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**2 + z**2 - z**3)*(-284 + 288 + 194) to j + u*z**3 + a*z + n*z**2 and give u.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 485 and 2861209.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = -2. Suppose -3*j + c = 2*v, -4*j = -2*v - 12 - 16. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1334\/(-184) - (-10)\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14132 - 13925. Calculate the remainder when o is divided by 72.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 1640 = 4*z + 1636, -5*m + 5 = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*j = -90, 33 = i - 4*j - 23. Calculate the highest common divisor of i and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-570)\/(-25))\/((1016\/(-4572))\/(5*2\/18))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 2:51 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*s**2 + (-10 + 10 - 5*s)*(41*s + 310 - 310))*(0*s + s**3 + 0*s).\nAnswer: -207*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 254*i - 11889. Determine w(194).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 3 = -17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/7 (b) -47 (c) -1\/11 (d) 1.1 (e) -5\/3 (f) 3\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19\/42 + 1\/6. Let t = 4\/69 - -118\/345. Suppose -2*w + 3*w + 2 = 0. What is the nearest to t in m, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*a + 45 + 271, -162 = -h - 3*a. Let b(c) = 17*c + 6. Let m be b(-6). Let y = m + h. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-10) + 72\/40. Calculate the remainder when 26 is divided by 6*3*p\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*p**3 - 5494*p + 5494*p)*(-4*p + 4*p - p) - 2*p**4 + 3*p**4 - 2*p**4 + 4*p.\nAnswer: -64*p**4 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8426848 divided by -16.\nAnswer: -526678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1499\/7 - 7467\/35. Put 2\/7, 101, 0.2, h in decreasing order.\nAnswer: 101, h, 2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 29*r**2 - 3*r + 72. Determine h(29).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 830 + -842. Let k be 6\/(-36) + (-1 - 2114\/n). What is the greatest common factor of 75 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*k + 3*d, d - 5 = -2*k - 2*k. Solve 5*c + 26 = -4*m + k*c, 2*m - 5*c = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 933 divide 101166657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5 + 2*t - 4*t**4 + t**2 + 3*t**4 + 2 to a + r*t**4 + d*t + i*t**3 + w*t**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**6\/v))\/v**4)\/(v**0)**(-29)*(v**(-5\/2)*v**(-6))**(-3\/4) assuming v is positive.\nAnswer: v**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.794+-48.54\nAnswer: -49.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*p - 2433, 2*p = -k + 100 - 1084. Put 1, -3, p in descending order.\nAnswer: 1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 26250?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2640 and 22720?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, n: 4}. What is prob of sequence ann?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and ((-144)\/(-27))\/(-2 - (-8)\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3448783243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8.8, 0.3, 1956?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 8) to base 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-8)\/3)\/((-80)\/(-240)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 38*b**2 - 2*b - 10. Let y(g) = -g**2 + 1. What is -l(w) - 10*y(w)?\nAnswer: -28*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a - 1420 = -24*a. Is 1\/(-1 + (-712)\/a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*o + 3*a, o + 6*a = 2*a - 11. Let z(t) = t**2 - 10*t + 11. Let q = -32 - -54. Calculate the least common multiple of q and z(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 8:25 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9021 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 4. Let i be h(5). Let j = 85\/112 - 1\/112. Let d be (-1)\/5 - (-85)\/175. What is the biggest value in i, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 51 = 4*a, -5*z - 55 + 12 = -2*a. Solve -3*g = -d + g + 1, 2*d = -3*g - a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/168)\/(4\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*h - 16. Let z(v) = -v**3 + 4*v**2 + 5*v + 7. Determine z(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -226519510 divided by -16179965\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/30 + h**2. Let s(r) = 5*r - 25. Let t(p) = p - 6. Let y(m) = -6*s(m) + 25*t(m). Calculate y(a(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/9)\/((-25)\/3 - -9)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkb when three letters picked without replacement from kbbk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 = -2*i, -3*g + 2*i - 8 = 7. Put g, -1, 0.5 in ascending order.\nAnswer: g, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 6507 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 8*s = -2*s - 2849320. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - j = -11, -22 + 2 = -5*k + 5*j. What is the common denominator of (-1)\/k*(-315)\/6 and -1*(52\/(-40) - -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3.9, 1\/18, -3039 in decreasing order.\nAnswer: 7, 3.9, 1\/18, -3039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*r)*(-10*r**3 + 8*r**3 - 22*r**3) to the form n*r + m*r**4 + k*r**3 + w + i*r**2 and give m.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10 = 4*u - 6, -4 = -u + 2*v. Suppose u*n - 46 = -18. Let c = 27 + n. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 152\/9. Let a = -0.2 - -2.2. Let d be 5304\/(-816)*(-4)\/91. What is the closest to d in 12, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9272450 is divided by 118?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2459 is divided by 55.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2\/15 (b) 0.2 (c) -0.3 (d) 123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 59. Which is the biggest value? (a) h (b) -0.115 (c) -0.5 (d) 3 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/3 + (-4)\/2*-11 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71460501 a multiple of 1863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f**2 - f + 116. Let y be s(0). Suppose -3*t + y = 4*v - 10, 5*v - 77 = -2*t. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 184*i**2*n + 13*i**2 - 5*i*n + 19489*i + 711*n wrt n.\nAnswer: 184*i**2 - 5*i + 711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 302*f + 18*f**3 - 21*f**3 + f**2 - 295*f in the form z*f + k + u*f**2 + w*f**3 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 21*g - 258. Let s be v(9). Solve -105 = -9*l - s*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -22, -10419, -4 in ascending order.\nAnswer: -10419, -22, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*k + 365*k = -15118 - 5978 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11515, 2 in increasing order.\nAnswer: -11515, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3412579860.\nAnswer: 2, 3, 5, 83, 228419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.5. Let z = 10.76 + 499.24. Let g = z - 505. Sort 0.05, t, g in descending order.\nAnswer: g, 0.05, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 1071*c - 27158. Calculate z(26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -99*z**2 + 10392*z + 320. What is s(105)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-32 - -26) + 31\/5). Sort 2, 3, -4, l.\nAnswer: -4, 2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 6*t - 1. Let d be j(-4). Suppose -d*w - 3630 = -18*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*i + 648 = -258*i. What is the greatest common factor of i and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -15*5\/(100\/(-12)). Suppose -4*w + 4 + 48 = 0. Let l = w - i. Calculate the highest common divisor of l and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115633 = 23*j - 18*j - n, -5*j + 2*n + 115636 = 0. Let f = -35074 - j. What is f rounded to the nearest one thousand?\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.775 minus 6222?\nAnswer: -6090.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0 + 10. Let z**2 - 7*z**2 - 14*z**2 + r*z - 7*z = 0. Calculate z.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 12*g**2 - 12*g + 8. Let f be r(-10). Let i = 77 + f. Let w(d) = d + 5. Let v be w(-5). Put v, -5, i in decreasing order.\nAnswer: i, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, 33, 70, 121, 186, 265?\n\"Answer: 7*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24026 and 738.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -17, 1, 3.\nAnswer: -17, 2\/13, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (0 + 7 + -19 + 4 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 6:37 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 4*c + 14. Does 30 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001439755 rounded to five decimal places?\nAnswer: 0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 102 = -19 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 86.346 * 2796\nAnswer: 241423.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - y. Let o be m(1). Suppose o = 5*w - 0 - 10. Suppose 3*r - 3 = -w*f, 2*r - f + 3 = 5*r. Calculate the smallest common multiple of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2101.9 not equal to -169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**8\/16800 + d**7\/2100 - d**4\/12 - d. Let h(w) be the third derivative of f(w). Solve h(l) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 10*m**2 + 30*m - 34. Is 10 a factor of v(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 6*h - 3*h)*(57 - h - 89 + 90) as f*h**2 + l*h + u and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7\/8, 1\/9 in decreasing order.\nAnswer: 7\/8, 1\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/6 - (-5)\/15. Let w(m) = 2*m - l*m + 0*m. Let x(k) = k**2 + 6*k + 144. Let i(j) = j + 24. Let q(z) = 6*i(z) - x(z). Calculate w(q(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0403704 to five decimal places.\nAnswer: -0.04037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 - 3*s**2 + 12*s + 7. Let z be r(-5). Suppose 3*a - z = -47. Let k = 27 - a. Put 4, -7, k in decreasing order.\nAnswer: 4, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 4, 0, -1 in descending order.\nAnswer: 4, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(6\/4) - 84\/(-2). Suppose -5*h + 154 = -g, -h - 4*g + k = h. What is the remainder when 239 is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 2*u**3\/45 - 8*u\/15 + 5. Solve a(y) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/7 + 1242426*j\/7 - 385905591369\/7.\nAnswer: -(j - 621213)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**2. Let h(a) be the second derivative of -a**4\/12 - 3*a. Determine -33*h(q) + 6*y(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + a + 1. Let j(w) = 3*w**2 - 42 + 16 + 42 - 30*w. Let z(u) = -2*u**2 + 20*u - 11. Let n(f) = -5*j(f) - 7*z(f). Let c be n(10). Calculate h(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 48 = 5364. Suppose 0 = 4*m - 0*m - 3*k + 5387, -k - 3 = 0. Let u = d - m. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-4))\/4*-10. Suppose q*n - 578 = 1182. Suppose t + 33 = n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1581 or -12657\/8?\nAnswer: -12657\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-1274)\/(-4)))\/(28\/(-392))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-91)*(-7)\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*l - 131 - 21. Let d(r) be the first derivative of 1 + 0*r**2 + 0*r + 1\/3*r**3. Determine d(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 547 divide 2411091985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p**2 - 21*p + 16. Let c(n) = -28*n**2 + 64*n - 48. Let r(a) = 5*c(a) + 16*k(a). Determine g so that r(g) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 5:46 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 3)\/((-1)\/(-3)). Calculate the common denominator of (-65)\/(-8) + (18 - 18) and (-2)\/4 - 10\/y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5035, 9919, 14803, 19687?\nAnswer: 24571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a15 - 4?\nAnswer: a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/sqrt(3) + sqrt(18))*-4)\/sqrt(6).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4\/11 - 11416*w**3\/11 + 11404*w**2\/11 + 57064*w\/11 + 34242\/11 = 0.\nAnswer: -1, 3, 5707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 34*m + 72. Let n be i(6). Solve 0 = 9*q + n - 111 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -3*sqrt(637) + 2 + sqrt(637) + (sqrt(637) + (sqrt(637) - (sqrt(637) + 3)) + sqrt(637))*-6 - ((1 + sqrt(637))*6 + -4)*-6)**2.\nAnswer: 10304*sqrt(13) + 337997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {m: 1, x: 1, q: 3, c: 1, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11771*c - 702. Let t(r) = r. What is t(d(y))?\nAnswer: 11771*y - 702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 + 1837*v - 463546. What is p(181)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 52. Suppose 29 + 21 = g*b. Suppose 4*m = 3*l - 87, 2*l - 13 - 34 = -m. What is the highest common divisor of l and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*((sqrt(84)*-2)\/sqrt(12) + sqrt(56)\/sqrt(200)).\nAnswer: -18*sqrt(7)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -62. Which is the fourth smallest value? (a) 0.2 (b) x (c) -3\/2 (d) 6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 6\/11, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u*u**(2\/13))\/((u\/(u\/((u*u**(2\/5))\/u*u)))\/u*u*u)**(1\/7) assuming u is positive.\nAnswer: u**(369\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4342 and 61.\nAnswer: -264862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b**3*q**2 + 2*b**3*z + 137*b**3 + b**2*z + 2206275*b*q**2*z + 190360*b*z + q*z wrt q.\nAnswer: -8*b**3*q + 4412550*b*q*z + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (222 + 162 - 762 + 279)*(2 - 4*l + 4*l - 2*l) to n + y*l and give n.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2. Let w(l) = -4*l + l + 8*l. What is w(s(t))?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpprprl. What is prob of sequence rr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 7. Let n(w) = 20*w**2 - 4*w + 5. Let i be n(1). Suppose i = -5*r + l, -3*r + r = 4*l + 26. Give y(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 63.99999969. What is t rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -87? (a) 0 (b) 0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-6 + (11 - 7)). Solve 0 = -4*q - t*v + 8 + 4, -4*q = -2*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z. Let h(o) = -3*o - 13. Let y(j) = -j - 7. Let c(i) = 2*h(i) - 5*y(i). What are the prime factors of c(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - b**2 - 2*b - 2. Let r be q(3). Suppose -3*m + 14 + r = 0. Suppose -g = -5*z + m, 4*z - 2*g = z + 13. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(6\/29))\/(g\/g**(16\/5)*g))\/((g\/g**(6\/17)*g)\/(g\/(((g*g*(g\/(g**(-40)\/g))\/g)\/g)\/g))))**36 assuming g is positive.\nAnswer: g**(-3518892\/2465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 182*s**2 + s + 28. Let v be i(3). Let g = -934 + v. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**6\/360 - 2*q**5\/15 - q**4\/24 + 35*q**3\/6 + 45*q**2 + 1. Let w(r) be the second derivative of a(r). Determine w(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(sqrt(15)\/sqrt(3) - sqrt(5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59.09713 + 58.93. Round s to three decimal places.\nAnswer: -0.167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15127975 to the nearest integer?\nAnswer: 3889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**4 - 13*x**3 - 8*x**2 + 48*x = 0.\nAnswer: -4, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 85506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -36. Solve 3*a = -5*d + 8*d - 27, -4*a - 31 = -o*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 116 (b) -5 (c) 0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*w**3 - 10 - w**3 + 56*w - 59*w + 2*w**3 + 4*w**2 to the form c*w**2 + s*w + y*w**3 + x and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6 - -3. Let o = 1 - 0. Let h = o + y. Which is the second smallest value? (a) h (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 31*g + 3*f + 24 = 0, -f = -2*g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -833 + 835. Suppose 0 = -h*u - 4*v + 48, 5*u + 7*v - 10*v = 68. Suppose 0 = -3*r + 2*r + 5. Solve -u = r*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -178*p**5\/5 + 17*p**2 + 2*p + 32. Find the second derivative of z(q) wrt q.\nAnswer: -2136*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*o + 6, -4*j - 5*o - 293 + 339 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 6. Sort g, 5, 4 in decreasing order.\nAnswer: 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 292837229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Factor -g*f - 4 + 0*f - 2*f - f**2.\nAnswer: -(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 20. Suppose -q + k*q - 39 = 0. Is q <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-357)\/(-15) + (-1)\/(-5). Let m = c - 36. Let i = m - -9. Sort 0, i, 3.\nAnswer: i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4602, 4607, 4616, 4629, 4646, 4667?\nAnswer: 4692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-12))\/(((-116)\/24)\/29)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 = -4*q. Suppose -4*w = 4*i - 788, q*w - 3 = 4*w. Suppose 3*a - i - 67 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 + 19875605058 + 5*f**2 - 19875605058.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = -16*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438797 to the power of 1\/2, to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 143 + 252. Suppose -u - 11 = -5*m. Does 4 divide (48\/m)\/(4\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + 1)*(-6*s**2 + 3*s**2 + s**2) - 6*s**2 - 41*s**2 + 71*s**2 in the form b*s + w*s**2 + t and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/34938 and -97\/19410.\nAnswer: 174690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14*r + 61. Let i be j(-4). Let k be ((-15)\/9 - -2)\/(4\/12). Sort i, -2, k, 0 in ascending order.\nAnswer: -2, 0, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.64 - 0.64. What is the fourth biggest value in 5, 3\/7, h, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 846, 732, 604, 456, 282, 76, -168?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -561*w**2 - 7*w + 2. Let n(h) = -280*h**2 - 4*h + 1. Calculate 7*n(s) - 4*p(s).\nAnswer: 284*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5091 or -5392?\nAnswer: -5392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33754084?\nAnswer: 2, 7, 13, 47, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-90)*12\/32. Let c(f) be the third derivative of 0*f**5 + 0 - f**2 + 0*f**4 - j*f**6 + 0*f - 1\/3*f**3. Find the first derivative of c(n) wrt n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 5. What is the remainder when (-4 - -40)\/1 + -4 is divided by p(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 43\/(-129)*(1 - 1). Is s < 203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/21 + (16 + -8 - 118\/14)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - z - 5. Let x be j(-7). Suppose 6*a - 2*y = 3*a - 138, y = -a - 46. Let w = x - a. Put 5, 8, w in decreasing order.\nAnswer: 8, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 693 and 65219?\nAnswer: 586971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4656811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*r**5 + 81*r**4 - 45*r**3 + 3*r**2.\nAnswer: -3*r**2*(r - 1)**2*(13*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7))**(-1\/25)*(p*p**(-7\/5)\/p)\/(p*p\/(p\/p**(-9))) assuming p is positive.\nAnswer: p**(1153\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 1 - 39*(-14)\/(-7). Let c = 111 + s. Calculate the highest common divisor of c and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b**2 - 2*b**2 + 1 + 0 to the form f*b + n*b**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/3197 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {q: 1, d: 1, l: 2, e: 1, t: 2, a: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 6*c = -0*c. Suppose -2*x - 2 = -6. Suppose c = 3*t - 3, 0*k + t = k - x. What is the lowest common multiple of 7 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181412.\nAnswer: 2, 7, 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 times 0.29329?\nAnswer: 0.733225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172\/693 - -2\/77. Is 1 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*q + 29*q. Let k = -2 - -4. Suppose q = h - 5 + k. Solve s - 1 = -h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 40*s**2. Suppose 8*l + 14*l - 836 = 0. Let w(p) = -3*p**2 - 103*p + 30*p + l*p + 35*p. Calculate w(i(h)).\nAnswer: -4800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.287*1.2087\nAnswer: -0.3468969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529879189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -16.5. Let c = 108889247 + -108889263.00000045. Let d = j - c. What is d rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 0.78.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkfnjrnlnlrj. What is prob of picking 1 r and 1 j?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -2*b + 10, 5*w = -4*b + 3*w + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.29 - 24.29. Let p = n + 23. What is the closest to 2\/7 in 4, p, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 86 = 4*w, 0 = 3*w + 2*w - 4*y - 112. Suppose -6*r + w = -2*r. Let k = 328 - 336. What is the smallest value in k, 1, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + -101000011101011100010?\nAnswer: -101000011101011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -1*7\/(-5). Let i be 0 + (0 - 0) + 1. Which is bigger: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257957 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 9:28 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -136, -2\/19, -2\/3 in ascending order.\nAnswer: -136, -2\/3, -2\/19, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 48*c - 383. Let u be z(8). Suppose 5*g - 442 - 838 = -5*r, -3*g - 4*r + 770 = 0. List the prime factors of (u - 9\/6)\/((-1)\/g).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -588, 2, -38, 8.\nAnswer: -588, -38, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.055\nAnswer: 0.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 134*x + 4579. Let v be z(70). Solve 3*s - 123 = -v for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1892, 3787, 5682, 7577?\n\"Answer: 1895*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7449*b**3 - 2*b**2 - 62*b - 1793091.\nAnswer: -22347*b**2 - 4*b - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 5*a - a + (2 - a - 2)*(2 + 1 - 2) + 5 - 5 - 4*a + 0*a + a + 0*a)*(4*a + 0*a - 2*a) + a**2 - 7*a**2 + 2*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2611\/5 + -535. Is -12 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13, -5, 159795?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-304)\/(-342))\/(4\/6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -985*d - 1. Is p(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 2\/9, 0.3, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from varar. Give prob of picking 1 v and 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:57 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*k - 498 = -68, k = h - 100. Solve 449 = 43*g + h for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2057, -2039, -2023, -2009, -1997, -1987?\n\"Answer: -o**2 + 21*o - 2077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 8629 + 8239 = 0 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 49. Put -7, m, -5 in ascending order.\nAnswer: -7, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -266837, -266840, -266845, -266852, -266861?\n\"Answer: -o**2 - 266836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 14*b - 28. Let v be q(10). Suppose -11*c + 15*c + 12 = n, -v = 4*c. Solve -19*y + 21*y - 6 = n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/44 and 111\/392.\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 24 = 2*u. Suppose -7*o = -u*o + 80. What is the first derivative of 1 + 11 + 0 - 2 - o*t wrt t?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.3688?\nAnswer: -0.11064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.52 and -0.595?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 14472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2.93 times 4\nAnswer: -11.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - -1*sqrt(8064) - (sqrt(168)*-1 - sqrt(168))\/sqrt(3))\/(-2*(sqrt(200) + (-1*sqrt(200) + sqrt(200) - sqrt(200)) + sqrt(200))).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.81923 + 0.013214.\nAnswer: 0.832444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**2 - u - 2. Let k(s) = -7*s - 27. Let b be k(-4). Let n(a) = -a**2. Determine b*f(g) + 6*n(g).\nAnswer: 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 2. Let x(q) = 2*q + 4. Let n(a) = 13*s(a) - 6*x(a). Let v be n(-2). Solve -t + v*t + 4 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59772, 478250, 1614134, 3826128, 7472936, 12913262, 20505810?\n\"Answer: 59784*r**3 - r**2 - 7*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = h - 1, 5*h - 7 = 3*j. What is the smallest common multiple of (j + 63\/(-15))*-5 and 4\/(-14) - 132\/(-21)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29343*c + 58690*c - 29342*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((145\/(-100))\/(-29))\/((-2)\/12))\/((-15)\/75)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*p - 348*p = -174*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 6)*(-2*i + 33*i**4 - 196*i**4 - 184*i**4).\nAnswer: 347*i**4 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 2*c**2 + 2*c - 1. Let d be z(2). Solve 4*y - 13 - d = -3*o, o + y = 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10521468 by -3.\nAnswer: 3507156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 5. Suppose -10*m + 280 = t*m. Suppose 2 - m = -o. What is the greatest common factor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/11395930 and -97\/3506440.\nAnswer: 45583720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4949703 < -64346140\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1 less than 11?\nAnswer: 18.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 8\/3, -5, -16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54680?\nAnswer: 2, 5, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -11. Let a be ((-68)\/8 + r)*-2. Suppose 8*o = a*o - 75. Solve 0 = -4*m + 5 + o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.551 to 1 dp.\nAnswer: 37.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 2*t**3 - 2*t. Let u(h) = 34*h**2 - 3*h + 1. Let k be u(2). Let a(q) = 271*q - 136*q - k*q. What is a(j(c))?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 32 (c) 11631 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/5 of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 1. Let t be g(-2). Suppose -5*h - 2*w + 5 = 0, -12 = 2*h - 4*w + 10. List the prime factors of t - (2 - (-4)\/h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1794684 and 96464265.\nAnswer: 385857060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1308, 3161, 5556, 8493, 11972, 15993?\n\"Answer: 271*p**2 + 1040*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 77554*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)*-1*3)\/(sqrt(4)\/sqrt(2)*-5 - sqrt(2)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 441 + 434 - 24*v - 809 - 39*v to w + i*v and give i.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g + 14. Let m be h(-1). Suppose -11*r + m*r - 5*q + 80 = 0, -10 = -2*q. Solve 5*t - 4*u + r = -14, 0 = -5*t + u - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*i - 48 = -168*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + (-1*(sqrt(245) + -3))**2 - (sqrt(880)*1)\/(sqrt(99)*6)).\nAnswer: -380*sqrt(5)\/9 + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001495 rounded to 6 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215281.\nAnswer: 11, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323853 is divided by 80748.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2286 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:48 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 4. Suppose 0 = 4*d - 12, d - 15 = 5*o + 13. Let m be y(o). Is 3 - m - (-23 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 62*(2\/(-11) - (-17010)\/308*3). What is the highest common factor of g and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4674.87 from -1245101.\nAnswer: -1249775.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 105671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/20*(-45)\/(-18). Let m be 24\/(-156) - j\/13. Solve -3*f = 5*t, m*t - 4*t = 4*f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6594 divided by 18.\nAnswer: -1099\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -11*x**5\/20 + 7*x**2. Let t(u) = -10*u - 8*u - 3*u + 20*u. Calculate m(t(k)).\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1100221, 5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**3 - 47352*z**2 - 140327460*z - 1119591200 = 0.\nAnswer: -5915, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/138*((-426)\/288 - -3) and 129\/460?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, x: 5}. What is prob of picking 2 d and 2 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -68992 divided by 56\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a micrometer in nanometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -650220 (base 7) in base 6?\nAnswer: -2230543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {h: 5, n: 9, w: 2, c: 2}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r**5 - 1644386*r**4 + 19365316*r**3 - 54805656*r**2 - 13153392*r = 0. Calculate r.\nAnswer: -2\/9, 0, 6, 91343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -0.54 (b) 28\/3 (c) 2\/3 (d) -2\/9 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 343 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-690)\/460*(-3)\/(-9)*58?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9236394 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 21. Which is smaller: -13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608378880 to the power of 1\/2, to the nearest integer?\nAnswer: 24665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 962, 3835, 8622, 15323, 23938?\n\"Answer: 957*m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*p + 14932 = -15643, 0 = 3*k - 5*p - 18349. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -199, 4, 220 in descending order.\nAnswer: 220, 4, 2, -5, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 113*a**2 - 37*a - 3. Let r(f) = f**2 + 12*f + 1. What is 3*r(k) + x(k)?\nAnswer: 116*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 658 and 3102?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/4))**(-10))**(-48)\/((k**8*k**(-1\/3)*k*k)\/((k*k**(-8))\/((k\/(k\/(k**2\/k)))\/k))) assuming k is positive.\nAnswer: k**(1030\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 j when three letters picked without replacement from {j: 2, r: 1, n: 2, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 + h**2 + 4*h**2 + (-h**2 + 3*h**2 + 0*h**2)*((2 - 3 - 1)*(1 + 13 - 2) + 3 + 3 - 4) as t + i*h**2 + w*h and give i.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 a factor of 623970828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q + 11 - 81. Let l(a) = a**3 - 8*a**2 + 7*a + 7. Give l(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 32. Let h be d(18). Suppose 0 = h*m - 7*m + 18. Find the common denominator of 79\/m + 8\/16 and -47\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123189597?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, 3, -1, -24790 in increasing order.\nAnswer: -24790, -1, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) + 0 + -1 + sqrt(847))*5)**2 - (-4*sqrt(448) + (sqrt(343) + -5 - sqrt(7)))**2)*-5.\nAnswer: -399840 + 6800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -37. Let t = -3 + 7. Let s(k) = -k**3 + 4*k**2 + 2*k - 6. Let i be s(t). Solve 0 = 3*v - g, -6*r + r + i*v = -15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f + 22. Let c(t) = 4262 + t + 4251 - 8520. What is -10*c(h) - 3*v(h)?\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111.33496779 + 0.1.\nAnswer: 111.43496779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 5*n - 2019 = 5*u, -987 = -2*n - 5*u. What are the prime factors of n?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 908 + 390. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148477035.06 + 586.\nAnswer: -148476449.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(70))\/sqrt(5))\/(-4*sqrt(6)\/sqrt(3)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03912 - -0.03921078. Round y to six dps.\nAnswer: 0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818 at most as big as 1816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -28 - w + 0*w**3 + 3*w**4 + 0*w**2 - 2\/15*w**6 - 2\/5*w**5. Find the third derivative of l(h) wrt h.\nAnswer: -96*h - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10 = 5*o. Suppose -3*k + t - 1 = o, 0 = t - 3. Suppose 0 = -d - k*d + 20. Calculate the remainder when d is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 minus 0.2752221?\nAnswer: -31.2752221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}