diff --git "a/data/dm_maths/full_data_1/1448_11255.jsonl" "b/data/dm_maths/full_data_1/1448_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1448_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the second derivative of 2*k**4 + 3697*k**3 + k**2 - 11*k + 211?\nAnswer: 24*k**2 + 22182*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*-1 + -2.\nAnswer: -7*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57\/371 or 470\/43?\nAnswer: 470\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4054?\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 807525915 to the power of 1\/3, to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2735 - -2749. Solve 4 = -c*p + 32 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 491 = -83. Let c be (-80)\/l + 2\/(-3). Let s(u) = 1 + 3 - 5*u**2 + 4*u + 2. Let p(o) = 6*o**2 - 5*o - 7. Give c*p(j) - 5*s(j).\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*u, 4*l + 0*u + u = 21. Suppose -2*x - 2*x = -2*v - 12, -2*x - l*v = -6. What is the first derivative of -3*a**3 - 3 + 5 + 4*a**3 + a**x wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l + 24. Let n be h(6). Let w be 2 + 8\/((-16)\/n). What is the remainder when w*((-16)\/3*6 - 1) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 29\/25, -27, 0, 13, 8?\nAnswer: 29\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - ((0 - 0) + -3). Let p(d) = -d**3 + 24*d**2 + 8*d - 5. Let y(s) = -s**3 + 21*s**2 + 7*s - 4. Let n(k) = -6*p(k) + 7*y(k). Determine n(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/3021973 and -8\/297941.\nAnswer: 21153811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 19 = -0*v + 4*v, 9 = 3*v + 3*d. Let i be (1 + -1)\/(-6 - -8). Solve -12 = v*p - i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -711515221*u**5 - 277340268*u wrt u?\nAnswer: -14230304420*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1016 = -4*k + 100. Suppose 6*q = 3*q + k. Suppose 0 = 4*a - 255 + 159. Calculate the remainder when q is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3056 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -14. Let z(d) = d**2 - 4*d. Let f be z(4). Suppose -p*g + 0*r + r + 8 = f, 22 = g - 5*r. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 56*j**2. Let t(b) = -b**2 - 17*b - 14. Let i be t(-16). What are the prime factors of a(i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11774618 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -236 + -37520.1.\nAnswer: -37756.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/4 + 107\/5. Let y = -20 + q. Let j = 61\/2 + -33. What is the closest to -1\/4 in j, y, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9242 + 9241. Let h(c) = c**2 - c. Let l(v) = -7*v**2 + 2*v - 1. Determine x*l(g) - 6*h(g).\nAnswer: g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - 23736\/(-759) - (-12)\/(-10).\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/3598 and -32\/9175.\nAnswer: 33011650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1 * -0.1.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 12 = -5*a, -2*j = -7*j - 20. Let b be (2\/(-6))\/((-3)\/27). Suppose -b*v + 2*g + 130 = 2*v, -a*g - 104 = -4*v. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 869030?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342 + 167 - 4*x + 175.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14489 and 187.\nAnswer: 2709443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 4. Suppose -2*q - 292 = -a*w, 0 = -w - 2*w + 4*q + 178. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 10*j - 4 + 4*j - 6*j + 6*j. What is the common denominator of -51\/10 and h(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 779*j - 4452. Calculate the remainder when 5549 is divided by g(6).\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -131*o + 83*o + 144. Let k(r) be the second derivative of 0 + 28*r + 0*r**4 - 1\/20*r**5 + 0*r**2 + 1\/6*r**o. Let k(y) = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*b + 6. Let v be (-57)\/b + (1 - 2). Is 418\/18 + (-4)\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5401603263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 385, 984, 1977, 3562, 5937, 9300?\n\"Answer: 33*p**3 - p**2 + 371*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - (-2 - (-2 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -12*g + 23*g - 10*g. Let d = 6 - -4. Let j(k) be the first derivative of -k**4\/2 + 5*k**2 + 2. Calculate d*o(l) - j(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + 1. Let v = t - 35. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 4*g + 20. Let s be d(-3). Which is smaller: 2791 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*12\/(-144)*(1 + -4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10429 equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 4. Let t be p(9). Let f be (-4)\/10*4\/(-11 + 3). Put f, 1\/3, t in decreasing order.\nAnswer: 1\/3, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36626.877 - 3004.6.\nAnswer: 33622.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 - 378 = -27*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19017, -38294, -57829, -77616, -97649, -117922, -138429, -159164?\n\"Answer: w**3 - 135*w**2 - 18879*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**3 - 7*u**2 + 3*u - 9. Let i be q(3). Let j be (1\/(-3))\/((i\/(-36))\/17). Which is the biggest value? (a) j (b) -7\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffo when three letters picked without replacement from qwwqjjjfqjfjwfo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 45\/1855529 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25489)\/213 + 86)\/((-11)\/(-33)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p. Let c(s) = -13*s**2 - 3*s. Let j(v) = -154*v**2 - 35*v. Let m(q) = -35*c(q) + 3*j(q). Determine a(m(r)).\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*f + 24 = 0, -2132 = -2*t + 2*f - 2150 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 7116, 1, -5, -17, 0 in descending order.\nAnswer: 7116, 3, 2, 1, 0, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17549041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131\/187 - -15\/17. Let j be 8\/30*(-3)\/6. Put -0.5, w, j in ascending order.\nAnswer: -0.5, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19283062 to the nearest integer?\nAnswer: 4391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312258.76 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 5 + 5*s - 6*s)*(-s + s + 2*s**2) to l*s**3 + m + z*s**2 + d*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20508453, -20508448, -20508443, -20508438, -20508433, -20508428?\n\"Answer: 5*a - 20508458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i = 25. Solve 41 = 4*c - i*b, b + 29 = 4*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 264, 944, -189 in decreasing order.\nAnswer: 944, 264, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sey when three letters picked without replacement from lynelhes.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4074*r**3 - 2*r - 6044*r**3 + r.\nAnswer: -10118*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 818\/6 + 96\/(-18) + 5. What is the greatest common factor of 102 and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 1\/3*b**6 + 0*b**4 + 0*b + 0*b**5 + 1\/2*b**2 - 2 + 0*b**3. What is the second derivative of w(p) wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:45 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9497306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6880*o - 6909*o - 580 = 0 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 30*p + 106. Let l be d(-9). What is the nearest to l in -16, -0.4, 2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.2 + -3. Let d(y) = y - 2. Let q be d(5). Let i be 3*((-4)\/(-6) + -2). Which is the closest to u? (a) q (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -1) + (30 - 25)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**3 + 3*j**3 + 3*j**3)*(-204 - 213 + 122*j**2 + 416).\nAnswer: 122*j**5 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -11*f - 1\/2*f**4 + 1\/2*f**3 + 0 + 1\/20*f**5 - 1\/2*f**2. Suppose 0 = 2*l - 2*u - 14, 5*u + 0*u = -2*l. Determine t(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -269*l - 4031. Let h be d(-15). Suppose 0*x + 0 - 8\/13*x**h + 0*x**2 - 8\/13*x**3 - 2\/13*x**5 = 0. What is x?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**3 + 25*d**3 + 1134*d + 5 + 42*d**2 - 6 - 31*d**2 wrt d?\nAnswer: 114*d + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + 2 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.132 + 2.132. Let p(d) = d**3 - 3*d**2 - d + 2. Let g be p(3). Let y be 0 + g\/(-7)*-2. What is the closest to y in l, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -14, 30, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 25 - 15)*(3 - 1 - 3)*(-1 - 2 + 9)*(-2*t + 2 - 2 + 4*t - 3*t - 2*t + 2*t + t - 5*t + (-2*t - t + t)*(2 - 4 + 4) - t + 4 - 4 - 3*t + 5*t - t).\nAnswer: -2430*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 659396648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -223.41 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 2*z**2 + 3*z + 817. Does 72 divide b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/5 + 1\/(-6))*(1 + 1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26463806 and -3.\nAnswer: 79391418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 677871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17513)\/(-10972) - (-4)\/26.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.01 (b) -57 (c) 11 (d) -4\/3 (e) 4 (f) -3.76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1311.563 and -4303.\nAnswer: -5614.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21507\/(-60990) - ((-21)\/10)\/7?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/7327042 and 103\/164?\nAnswer: 600817444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/13)\/(-1*(-1)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 707*i**5\/4 + 53*i**3\/3 - 11*i**2\/2 - 31*i + 30. What is the second derivative of g(c) wrt c?\nAnswer: 21210*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6225 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*v = -3*i + 54, 0 = -i + 5*v + 38. Calculate the highest common divisor of 52 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*t - 6161 - 568*t**3 + 12323 - 6159 wrt t?\nAnswer: -3408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/3))**(-10\/17) assuming k is positive.\nAnswer: k**(-50\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1045*r + 14 = 1031*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -243, 42\/13?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 1. Let h(i) = -3*i. Let b(j) = j + 1. Let d(f) = 2*b(f) + h(f). Let p = 3 - 5. Let a(y) = p*d(y) + 4*v(y). Let u(m) = m. Calculate u(a(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4123\/(-868))\/(-7 - (-189)\/28)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -493 + 905. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 + 610*b**3 + 600*b**2 - 610*b - 605.\nAnswer: 5*(b - 1)*(b + 1)**2*(b + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/133? (a) 0.48 (b) -0.3 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 2*i - 12*i**2 - 7*i**2 + 5)*(3*i**3 - 6*i**3 + 2*i**3).\nAnswer: 19*i**5 + 2*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 381*((1 - 4\/3)*19 + 6). Sort 4, -4, d in descending order.\nAnswer: 4, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1\/7, 35, -26, 2, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28785854*t**3 - 18842473 wrt t?\nAnswer: 86357562*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-4*2\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -3)*-4 + sqrt(17) + sqrt(153)*3.\nAnswer: 12 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 979 + -563. What is o rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5064\/5771 or -1?\nAnswer: -5064\/5771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17576, 70246, 158026, 280916, 438916?\nAnswer: 632026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 + n. Let c be r(1). Let x be 0 + 120 + -2 + 2. Suppose 2*d - x = -3*d. Solve -1 = -c*z + d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222 - -10730 - ((-34)\/(-5) - 1\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.9 (b) 1 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21217908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 103870b?\nAnswer: -1038714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/5 - 504784*c\/5 - 2019072\/5.\nAnswer: -4*(c + 4)*(c + 126192)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + -76 - (-12 + 1 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*z + 120*z = 1986. List the prime factors of z.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -382275 divided by 76455\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from kkyknkkyyyykyk?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8365373*v**3 - 7*v**2 - 1567*v + 3615.\nAnswer: 50192238*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2\/7 + 488*p\/7 - 516 = 0. Calculate p.\nAnswer: -129, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 16709021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1000580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1447485 divided by -289497.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3 - 1368*r**2 + 470580*r - 1860496 = 0. Calculate r.\nAnswer: 4, 682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 821499?\nAnswer: 1642998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, -0.3, -2\/11, 1\/69582, 1\/4?\nAnswer: 1\/69582","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s + 25*s**2 + 31*s - 22*s**2 to q*s**2 + x + w*s and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 6:52 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**3 - 5*s. Let d(m) = 3*m. Calculate d(l(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 - -0.01. Let b = -0.15 + z. Let g = b - -0.22. Put 0.5, g, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 12095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3073023*-4\nAnswer: -12292092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109622 is divided by 36453?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 19 - (-15 + 0 + 16)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3321586.\nAnswer: 2, 1660793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5833\/(-57))\/(2*1\/12). Is b*(8 - (-153)\/(-18)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2002 (base 3) to base 2\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = g - 3, 2*g = -s + g + 1. Suppose -11*q + 34 = 6*q. Suppose -s*o = f - 293, 0 = -q*o - o - f + 438. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 2)\/((-5)\/(-175)). Let k = g + -25. Calculate the lowest common multiple of k and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/33, 2, -3 in decreasing order.\nAnswer: 2, 1\/33, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1300*v + 12968. What is the remainder when n(8) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11419, 11571, 11821, 12169, 12615, 13159?\n\"Answer: 49*p**2 + 5*p + 11365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 26, -18, -46, -52, -30, 26, 122?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26\/9959 - -32546870\/328647. Let k = 1094\/11 - v. Calculate the common denominator of k and -49\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3380 and 5222945.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -380.82 + 378. Let d = 2.72 + p. Let h = -0.5 + 0.3. Which is the third biggest value? (a) 0.1 (b) h (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 7*v - 1. What is p(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -31, -93, -201, -367, -603, -921, -1333?\nAnswer: -1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*x + 900*x**3 - 900*x**3 + 23*x**4 + 85 - 543 wrt x.\nAnswer: 92*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 plus -2.6868?\nAnswer: 116.3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7838 = -28*b + 2326. Is b a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*o + j + 189, 139 = 2*o + j. What is the remainder when 267 is divided by o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 836 divide 1502292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3 + 11, 10*c + 24 = -5*x - 12*c + 5*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.67 - -1.89. Let j = a + -7.56. What is the third biggest value in 5, j, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + l + 4 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1104, -1102, -1100, -1098, -1096, -1094?\nAnswer: -1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2 + 265*f - 209. Determine z(-67).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -l - 9, -o + 5*l - 4 = -49 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7e - 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3388)\/308*(16\/4)\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -2 + sqrt(931))**2 + 2.\nAnswer: -56*sqrt(19) + 3730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387010 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a + 97*a - a - 20*a.\nAnswer: 65*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688997796 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2765092*f**4*j**2 - 79*f**4*j - 1811521*f**2*j + 71*f*j**2 wrt f.\nAnswer: 66362208*f*j**2 - 1896*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.12. Let u = 0.11972 - w. What is u rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 543.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86 in 31, 0.7, 2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2285665*a + 45*a**3 - 2285665*a - 46*a**2 - 43*a**3.\nAnswer: 2*a**3 - 46*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.9 and 8813032617751.\nAnswer: 8813032617757.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5777 and 291?\nAnswer: 5486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 386.6557286 to the nearest integer.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19\/2*z + 15\/4*z**2 + 7 - 1\/8*z**4 + 1\/8*z**3.\nAnswer: -(z - 7)*(z + 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/74, -1, -0.4, -0.5, 3 in descending order.\nAnswer: 3, 1\/74, -0.4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmmbbmbkmbkmmk. What is prob of sequence km?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4))**(-5\/3) assuming z is positive.\nAnswer: z**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161023.\nAnswer: 23, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u = 1056 - 1075 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146.24026 - 146.37. Let y = 0.13 + o. Round y to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13880850.\nAnswer: 2, 3, 5, 29, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 6 + 3. Let n be (-6)\/(-10)*(-10)\/q. Let m = 2.06 + -0.06. Which is the third biggest value? (a) m (b) -2\/13 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*t - 57*t - 336. Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -152 + (-113)\/((-4520)\/3400)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2266 - ((-35)\/20 + (-7)\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/3, -3, 14.6, 0.4, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:37 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 - 2*p**2 + p - 4. Let s be h(-3). Let a be s\/22 - 4\/22. Put -1, a, -4 in decreasing order.\nAnswer: -1, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3979, 6, 1 in increasing order.\nAnswer: 1, 6, 3979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57339 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, 2, 18, 42, 74?\n\"Answer: 4*t**2 - 4*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -293, -4 in descending order.\nAnswer: 1, -4, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/14289 or 0.2633?\nAnswer: -2\/14289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 433 = 5*t - 0*t, -4*t = 2*j - 344. Suppose -t = -f - 22. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493022 is divided by 185.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41208678 and 61813017?\nAnswer: 123626034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6188 - 4\nAnswer: -6192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -153. Let n = 96 - q. Determine f, given that 10*f**4 + f**5 + 5*f**3 - 11*f**n + 13*f**2 - 6*f**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) 282 (c) -62.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, 58, 85, 112, 139, 166?\n\"Answer: 27*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -553*v + 3795 - 1525 - 16648 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.4 + 25.4. Which is the closest to 0? (a) u (b) 1\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52891.\nAnswer: 227, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 k when four letters picked without replacement from iiiiiiiiiikii.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u - 6*u**3 - 6*u**3 - 15*u**2 + 15*u**2 as f*u**2 + z*u**3 + o*u + s and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l - 2, 2*q + 2*l = 46. Suppose -2*n + n = -q. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*4\/12)\/((-7)\/(-21))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 10*r + 14. Let t be v(-11). Suppose c = t*c - 6*c. Let n(a) = 28*a**2 + c*a - 1 - a**3 + 9*a - 21*a**2. Calculate n(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/16 of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 13*o - 13. Let u be s(-3). Let p be (-8)\/36 - 8\/((-61992)\/1695). Which is bigger: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 - 65*t + 24*t + 2*t**3 + 17*t + 30*t to f*t**2 + u*t**3 + m + g*t and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 13*c**2 - 26*c - 9. Is h(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*i = 14*i + 98490. List the prime factors of i.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -186938*r - 1496153. Calculate v(-8).\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, 4, 33, 98, 211, 384, 629, 958?\n\"Answer: 2*t**3 - 9*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -54. Suppose 2*a = -v + 10, -2*v - 5*a = -7*v + 95. What is the lowest common multiple of q and v?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/1162 and -62\/9.\nAnswer: 10458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151 + -1 + 7\/((-7)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1703362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47663704*s**2 - 3*s + 1795418 wrt s.\nAnswer: 95327408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, 38, 137, 326, 635, 1094, 1733?\n\"Answer: 5*m**3 + 4*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m + 61 = 295*m - 2360 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*d + 50529 = -33*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-14) + 3\/(-189)*-9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*r = 4*h - 3, 17 = 5*h - 2*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65623 is divided by 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1062328491 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422, -896, -1442, -2096, -2894, -3872, -5066, -6512?\nAnswer: -8246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 54*v**5 + 540*v**4 + 1584*v**3 + 1888*v**2 + 992*v + 192 = 0.\nAnswer: -6, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18313 - 18295. Are 1\/32 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 3:23 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 1\/6 (c) 2\/9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 10*t - 18. Let h = 24 - t. Which is greater: h or 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/5 - 128*l**2\/5 - 731*l = 0. Calculate l.\nAnswer: -85, -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -v + 3*y, 9*v - 2*y = 6*v - 45. Sort -1, -4, v, -3 in increasing order.\nAnswer: v, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 12*l**2 + 86*l - 338. Determine b(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 42*l**3 - 3*l**2 - l. Let p(i) = -125*i**3 + 10*i**2 + 3*i. What is 7*h(n) + 2*p(n)?\nAnswer: 44*n**3 - n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1040 + -1029. Calculate the greatest common divisor of 1551 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 - u**2 - 3*u - 1. Let l be b(-1). Let s = 29 + -16. Suppose -l*h + 12 = -s. Solve 3*z = 4*j - z + 8, -11 = h*j - 4*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41\/2 - 19. Let a(l) be the first derivative of h*l**2 + 2 + 0*l. Let g(o) = 2*o**2. Calculate a(g(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 19*k**3 - 38*k**2 + 58*k + 108. Let w(x) = -12*x**3 + 25*x**2 - 39*x - 72. Let s(t) = -5*m(t) - 8*w(t). What is the tens digit of s(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 5:53 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-10 + (45 - 7) + -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 14083 = 5333. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 9189, 1\/28?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19450 + -8850. Let u be (-10)\/(-1*2\/p). Round u to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.6 + -1.3. Put -0.2, d, 0.5 in increasing order.\nAnswer: -0.2, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-4\/5)*k*k)\/k)\/k**(-2\/13))\/(k**(-1\/3)*k*k**(-1\/7)*k) assuming k is positive.\nAnswer: k**(-1597\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.16 (b) -0.0214 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from {s: 2, z: 4, c: 2, x: 6, j: 3}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/12*(0 + 0). Suppose 3*g + 0 - 12 = 0. Suppose x - g = -c*x. Solve n + x = 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 360 = -l + 5*l, 38*b = -l + 85*b - 42*b - 426 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 4*l + 3. Let n be o(-2). Suppose 49*k - 42*k - 42 = 0. Suppose k*d + 7 = 205. Calculate the highest common factor of n and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 326 + 44b?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a week?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 1, j: 2, s: 4, w: 3}. What is prob of picking 1 k and 1 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**11*d**(-4)*d**(-2\/85)*(d\/d**(-5)*d)\/d)**(-4) assuming d is positive.\nAnswer: d**(-4752\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -382.661 times -13?\nAnswer: 4974.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.151714 hours in microseconds?\nAnswer: 25746170400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1050 + 159. Let n be v\/7 + 4\/14. Let m be (-6)\/(-15) - n\/(-5). What is the greatest common factor of m and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 3*b + 9, -5*r = -5*b + 6 + 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -190, -220, -250, -280?\n\"Answer: -30*l - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) + 12\/5. Let u(o) = -2*o**2 + 2*o**2 - 2*o + 3*o**2 - o**h. Is 6 a factor of u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 39 - 8*y + 10*y**2 - 58 - y**2 + 54 + y**3. Does 7 divide w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46)\/(-10) + 2\/5. Suppose -7*m = -3*m - 12. Suppose 2*r - m*f = 14, 2*r = -4*f - 0*f. Put r, -1, y in decreasing order.\nAnswer: y, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 336039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 20, -83*w + 11 = -84*w - 5*g - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75 - -64?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)*s*s)\/s*s)**(34\/7)\/(s*s**(-9))**(2\/17) assuming s is positive.\nAnswer: s**(-2200\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 67. Let u be m + -2 + 1 - 2. Factor 0*h**2 - 3\/5*h**4 + 9\/5*h**5 + 0*h**u + 0 + 0*h.\nAnswer: 3*h**4*(3*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127756129.\nAnswer: 53, 45481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 1264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 + 111 - 111 + (-2*u - 4*u + 4*u)*(5*u**2 - 3*u**2 - 3*u**2) + 0 + 0 - 2*u**3 to l*u**3 + a*u**2 + x*u + b and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -30*o + 1771. Does 2 divide m(-58)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.114231 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**2*u**3 - 275*b**2*u + 4*b**2 - 99525*b*u**3 + 3*b*u**2 - u**3 wrt u.\nAnswer: -12*b**2 - 597150*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 579903821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87541 by 1.\nAnswer: -87541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1762271)\/(-74045) - 17\/4*4\/1?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 23*n**2\/2 + 132*n + 42. What is the derivative of x(z) wrt z?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0758 - -1.0758. Which is the closest to -86? (a) 3\/2 (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19148882 to the nearest integer?\nAnswer: 4376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 5:58 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 208594 and -39.\nAnswer: 208555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnn. What is prob of picking 1 n and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/178 and -139\/54?\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:31 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvvvggsgasvgvvvggv. What is prob of picking 2 g, 1 v, and 1 a?\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 4*l = -2*l + 14*l + 5*y + 16, 17*y = -8*l - 100 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 a when three letters picked without replacement from kbnnknadannnbbkk?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 smaller than -231.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 865665786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 76188*a**3 + 1540*a**2 + 140*a + 560. Let u(o) = -1621*o**3 - 33*o**2 - 3*o - 12. What is 3*j(k) + 140*u(k)?\nAnswer: 1624*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*w + 315*w - 47*w + 294*w = 5980 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 62, 85, 92, 77?\n\"Answer: -k**3 + k**2 + 37*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 53. Suppose 5*z + x*q = 82, z - 6*q - 11 = -q. What is the second derivative of 6856*j**3 + 34*j - 6856*j**3 + z*j**5 wrt j?\nAnswer: 320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848627683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2\/59 (c) -2\/5 (d) 4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 150*a - 1008.\nAnswer: 3*(a - 56)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/60 at least as big as 5640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1710\/48)\/5 + 2\/(-16). Let a be 21\/4 + 116\/(-16) + d. Suppose 5 = 4*x + 17, -2*v - a*x = -1. Solve -4*l = -4*z + v, -3*z - z + 1 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*z - 2*d, z - 4*z + 5*d = 1. Suppose 3*m - 23040 = -z*m. Let w be -1*(-50)\/(-4)*m. Round w to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2\/7 - 16*j\/7 - 480\/7 = 0.\nAnswer: -12, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 289787964 a multiple of 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1370 is divided by 145?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 46*j**2 + 198*j + 12. Let m be d(-4). Solve 2*z + 2*z + 4*l = -24, -3*l - m = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -11*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b - 20. Suppose -5*s + r = -r - 123, -3*r + 103 = 4*s. Is 12 a factor of q(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -679296, -679325, -679352, -679377, -679400?\n\"Answer: k**2 - 32*k - 679265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 366334 - 28?\nAnswer: 366306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -43\/13, 406?\nAnswer: -43\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1560.8 - 1561. Which is the closest to q? (a) -5 (b) 8 (c) 2\/3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 28*c**2 + 5*c - 110. Calculate f(28).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 465, 119, 1, -1, 4 in increasing order.\nAnswer: -1, 1, 4, 119, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Let p = 5967 + -5965. Solve y*x - 6 = 0, -p*g - 2*x = g - 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756 = -7*k - 12*k + 15*k. Suppose -3*i = r - 144, -3*r - i + 678 = 2*r. What is the highest common factor of r and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 - 2*p**5 + 3*p**5 + (2*p**3 - 7*p**3 - p**3)*(-4*p**2 + 0*p**2 + 5*p**2).\nAnswer: -7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1808634 is divided by 601833?\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -103?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(14\/(-3))*7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12690\/2068)\/((-144)\/(-132))?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 13. Let x = 426.02 - 426. Put x, -1\/5, v, -0.1 in descending order.\nAnswer: v, x, -0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 9 - 32)*(t + 1 - 1)*(2 + 2 - 2) in the form q*t + f and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111110010 (base 2) in base 14?\nAnswer: -7aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*((-8*m + 6317 - 6317)*(-1 - 2 + 5) + 0*m - m + 0*m)*(-2*m**2 + 6*m**2 - 2*m**2).\nAnswer: -68*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5958800*x*z**3 - 105*z**3 + 33677*z**2 wrt x.\nAnswer: -5958800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 11:53 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 3226, 11202, 26642, 52012, 89778?\nAnswer: 142406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/4)\/g**(-2\/3)*g*g**(-5\/2)*(g\/(g\/(g**1*g*g)))\/g assuming g is positive.\nAnswer: g**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 2*t**2 + 11*t - 14. Let l be k(-5). What is the greatest common factor of 738 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2. Let h(m) = 0*m**2 + 9 - 9 + m**2. What is o(h(v))?\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e + 88b?\nAnswer: 85c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1873*b + 23*b**2 - 7 - 1873*b)*(-2*b + 1 - 1).\nAnswer: -46*b**3 + 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 33 = -4*w, -2*w - 5*o + 3 = -0*w. Let p be 14\/105 + w\/45. What is the units digit of (0 - -1)\/(p - (-5)\/610)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 plus -0.644008821?\nAnswer: 1129.355991179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4584\/(-63) + (2 - (-15)\/(-12)). Let v = x - -423\/7. Calculate the common denominator of v and -35\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 3*b**2. Let o be l(-2). Solve 8 - 3 = -c, o*s = -4*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + 0*l)*(-5*l**2 + 5*l**2 - l**3)*(-323 - 225 - 128).\nAnswer: -1352*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -56, -4, -7499 in descending order.\nAnswer: 3, -1, -4, -56, -7499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-18) - 20\/(-9). Suppose f*j - 4 = j. Suppose 0 = o - 0 - j. Which is the biggest value? (a) -0.1 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(1088) + sqrt(1088) + 1) + (2 + -5*sqrt(1088))*-1)**2 + -5 + 2.\nAnswer: 288*sqrt(17) + 9825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czcquccqqcuzpcu. Give prob of picking 2 q and 1 p.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -18. Suppose -2*l + x*t = 2*t - 6, -4*t - 8 = 0. Suppose 0 = l*f - 2*y - 527, 2*y + 4 = -2*y. Calculate the remainder when f is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 249*n**3 - 254*n**3 - n**2 - 2*n**2 + 0*n**2 + 3 in the form x*n + a*n**3 + j*n**2 + g and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**3*y**2 - 9*o**3 - 2*o**2*y**2 - 2*o*y**2 + 25*o wrt o.\nAnswer: -18*o*y**2 - 54*o - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -12. What is the remainder when r is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/41 (b) -1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/20? (a) -0.2 (b) 4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or -0.14136?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1452) + 2)*-6)**2.\nAnswer: 1584*sqrt(3) + 52308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-9))\/(3\/27). Which is the closest to 1? (a) -0.1 (b) j (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*a + 49*a - 138*a - 10245 = 9985 for a.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 154*((-2)\/(-5))\/((-12)\/15). Let s = y - -87. Suppose 0 = 2*x - s*x + 8. Is x >= 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 33 in descending order.\nAnswer: 33, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 4, 2 in decreasing order.\nAnswer: 6, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -553 + 296. Let a = -102 - b. Calculate the lowest common multiple of a and 8.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/820 and 103\/2460.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14211 to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -19. Suppose v + 3*v - z = 0. Solve -n = n + v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188010741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 9*b**3 + 437 + 3*b**4 - 9*b + 436 - 873 - 3*b**2 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5753 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-1*sqrt(7488) - sqrt(52)))\/(-2*sqrt(64)*5))**2.\nAnswer: 19773\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovdkobbvyoboo. Give prob of sequence ydk.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 855 + -2?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6 - -2)*(-270)\/(-12). Suppose 124 = w + 3*w. Let i be (-2)\/(-3)*(w + -1). Calculate the highest common divisor of o and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.76 + -827.24. Let l = f + 832.99998825. What is l rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) + 2*(sqrt(102) - sqrt(102)*-2) - sqrt(102)))\/(sqrt(6) - (sqrt(486) + sqrt(54))).\nAnswer: 5*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from ihddbbbddcddhki?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 8 (c) 147 (d) -1 (e) 4 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 298 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.471712 millennia?\nAnswer: 77660.544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 11. Let s(o) = o**3 + 5*o**2 - 2*o - 5. Let d be s(c). Suppose d*l - 10 - 15 = 0. Calculate the remainder when 14 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30\/13 (b) 116\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9675, 12441, 15207?\n\"Answer: 2766*k + 6909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -3*h**2 - 1\/20*h**5 + 0 + 7\/6*h**4 - 5\/3*h**3 + 17*h. What is the hundreds digit of s(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2. Let n(y) = 409472897*y. Determine l(n(h)).\nAnswer: -335336106755145218*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -9, -50, -111, -198, -317, -474, -675?\nAnswer: -926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -13, -41, -89, -163, -269?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 34 = 5*h. Let v(p) be the third derivative of -1\/20*p**h + 0 + p**2 + 0*p**3 + 0*p + 0*p**4 + 1\/60*p**6. Find the third derivative of v(t) wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 + -924011?\nAnswer: -923983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -17904637?\nAnswer: 25\/17904637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*l - 508*l = -197 - 155 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*a = 23722, 4*a + 3461 + 14315 = 3*w. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 6*f**2 - 5*f - 8. Let m be a(-5). Let y = m + 15. Is y > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 843*y - 5 + 5.\nAnswer: 843*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -443442 + 259857087\/586. Find the common denominator of l and 71\/44.\nAnswer: 12892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3*x**2 - 2*j**3*x - 2*j**3 - 3*j**2*x**2 + j**2*x - 118*x**2 + 693 wrt x?\nAnswer: -4*j**3 - 6*j**2 - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.080197708 - -4938702\nAnswer: 4938702.080197708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -4, -14 in increasing order.\nAnswer: -19, -14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24215, 48415, 72615, 96815?\n\"Answer: 24200*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1580 + 24777 - 36*h - 32*h + 70*h in the form i + a*h and give i.\nAnswer: 23197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -50. Suppose -m = -2*q + 3. Suppose -5*f + q = -191. What is the remainder when f is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 30537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n - 13 + 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63482 divided by -6.\nAnswer: -31741\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -101 + (72 - 23) - -21\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337 - 0.07.\nAnswer: -337.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -177 - -326. Suppose 2*j = -y - y + 164, -j - a = -2*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 68731674.\nAnswer: -13746334.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)\/(c*c\/c**7*c)*(c*c**(-1)\/c)**(-6\/23))**(-11\/4) assuming c is positive.\nAnswer: c**(-2552\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46\/(-6 + 125\/20). Let j = b + -919\/5. What is the biggest value in -8, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 1. Suppose 4*c - 4 - 12 = 0, 0 = z + 3*c - 32. Let t = 14 - z. Give p(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/42)\/(5*(-40)\/(-350))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683388.\nAnswer: 2, 3, 41, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 162*b + 212. List the prime factors of m(81).\nAnswer: 2, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*o + 14*o + 16*o)*(1 + 2 - 4).\nAnswer: -53*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2668, -10677, -24024, -42709, -66732, -96093?\nAnswer: -130792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.377 rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {n: 2, g: 5, u: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*g - 25, 0 - 5 = 4*a + g. Suppose -d + 3 = -a*d. Solve -m = -d - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (16 + 605\/22)\/(1\/226)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 465, 272, -49, -498?\nAnswer: -1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-6)*(-6)\/9. Let v(l) = 3*l**3 - 2*l**2 + 5*l - 4. Let p(w) = w - 1. Let f(a) = g*v(a) - 6*p(a). Give f(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-80)\/24)*3*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + 522?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**2 + 2827*n**3 + 2*n**6 + 42*n**5 - 94 - 2827*n**3 wrt n?\nAnswer: 240*n**3 + 2520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -1870, 41, -92 in decreasing order.\nAnswer: 41, 5, 3, -92, -1870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3 + 18*y**2 - 30*y + 14 = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-21))\/(32\/(-112))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.3. Let x = -73 + 71. Which is the closest to q? (a) -1\/11 (b) x (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11536\/41 - -13495603\/47970. What is the common denominator of -11\/1248 and u?\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 7 = -5*s, 5*s - 940 = 3*a - 921 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(144)\/(sqrt(8)*-1 - sqrt(8)) - sqrt(18)) - sqrt(18))\/(-1*sqrt(225) - sqrt(225)) - (-5*sqrt(72)*-2 + 5)**2.\nAnswer: -7225 - 12003*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 6*t - 5. Let s be p(-7). Solve -4*r = 5*b + 14, 0 = -3*r + 5*r + s*b + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.44 - -0.23. Let y = f - -0.2409. Round y to three decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4 - 50*u**3 + 240*u**2 + 3200*u + 5120 = 0 for u.\nAnswer: -8, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 9 = -3*q - 5*b, 36*q - 6*b - 60 - 9 = -3*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 8. Let h(y) = y**3 - 10*y**2 + 7*y + 11. Let g be h(9). Let j be m(g). What is the lowest common multiple of (j\/(-8) - -2)*8 and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -132*m**2 - 116*m + 16 = 0. What is m?\nAnswer: -1, 4\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51ba84 (base 15) in base 9?\nAnswer: 7273857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.03, 0.5, 0.7, -2\/11, -2, 3\/8359?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/3 + 22\/(-33). Suppose d*u = 7*u + 39. What is the second derivative of 0*s**3 - 5*s**3 + 4*s - 2*s**3 - u*s wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 357, 682, 1219, 1962, 2905, 4042?\n\"Answer: -f**3 + 112*f**2 - 4*f + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, v: 4, p: 5, f: 4}. Give prob of picking 3 v and 1 y.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2 + 7. Suppose -5*p + 3 = 3*l - 4, -c*p + 13 = -3*l. Is (-3 - l) + 1 + 114 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 16 = -2*o. Let j = o - 4. Suppose -5*z + 30 = -5*v, -j*z = -3*z - 3. Which is the third smallest value? (a) v (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f + 15. Let l(y) = -4*y - 15. Determine -4*l(v) - 5*r(v).\nAnswer: v - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 412 + 147. Let v = 960 - y. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (2 + sqrt(11))*-1)**2*6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 639 = x, 5*x - h + 3*h - 3229 = 0. Let y be 2105\/(-490)*-7 - (-4)\/(-7 - 49). What is the greatest common divisor of y and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1922922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 12*l - 9. Let t be d(11). Let o = 23 + -13. Let j = o - t. Solve -4*s = -4*w + j, -w + 28 = -5*w - 5*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -611 (base 8) in base 2?\nAnswer: -110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5679351.\nAnswer: 3, 631039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5372, 10742, 16112, 21482?\n\"Answer: 5370*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*f = -42*f - 325. Solve -2*s = 5*p + s - f, 5*p - 3*s = 37 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 + 8 + -10 - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2157 = -5*x + 2483. Suppose 2*q - x = -3*y + 7*q, -1232 = -4*y + 4*q. What is y rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -2.8. Let r = q + -14. Let j = r + 7. Which is the third smallest value? (a) j (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246939977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 148*y - 149*y + 5*v, 3*y + 21 = 3*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119958?\nAnswer: 2, 3, 19993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2632497, -5264987, -7897477?\n\"Answer: -2632490*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418025?\nAnswer: 5, 23, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -189785f?\nAnswer: -1897861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfh when three letters picked without replacement from {h: 2, f: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3495 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -641011, -640982, -640953?\n\"Answer: 29*q - 641040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 10 - (-4 - -9) - 30\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -18.33. Let a = 2.669887 - z. Round a to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 778465.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/42*-7*-1*72\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 483266 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 = 10. Which is smaller: t or 7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, g: 1, q: 1}. Give prob of picking 2 q and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -3\/7 (c) -0.6 (d) -181 (e) 1.932\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(15\/20)\/((-2)\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -6. Suppose 3*p = -2*w + 30, -3*p - 3*w + 30 = -4*w. Let f = p - a. Solve n + 5 = f*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4\/5*q**4 + 0*q + 4\/5*q**2 + 8\/5*q**3 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5442 divided by 3?\nAnswer: 1814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4541?\nAnswer: 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*4.49.\nAnswer: -0.4041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/2009 or 0.018?\nAnswer: -27\/2009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756*d - 6895 + 554 = -293 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7119 by -113.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q, -8*q + 4*q - 151 = -i. Let a = -1 - 82. Let f = a + 118. What is the remainder when i is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71*c**4 + 12*c**3 - 2*c*q + 355*c + 18174769*q wrt c?\nAnswer: 284*c**3 + 36*c**2 - 2*q + 355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*r**2*y + 31*i*r**2 + i*r - 375*i*y with respect to y.\nAnswer: 2*i*r**2 - 375*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*a - 388 - 296 = 0, 0 = -m + 2*a + 228. What are the prime factors of m?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*q**3 + 14 + 18*q**4 - 18*q + 6*q**2 - 16*q**4 - 14.\nAnswer: 2*q*(q - 1)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4230 is divided by 1369.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 45 = 5*a, 7 = -2*a + 2984*b - 2981*b for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4915.\nAnswer: 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26115?\nAnswer: 3, 5, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elle when four letters picked without replacement from {l: 3, o: 7, e: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153904207 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 50 = 12*h. Calculate the least common multiple of h and 9.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -125, -187, -249, -311?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*7505.\nAnswer: 2251.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2161, 7576, 16589, 29194, 45385, 65156?\nAnswer: 88501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-58)\/8 + (-6)\/(-24). Let u(r) be the first derivative of r**3\/3 + 7*r**2\/2 - r - 1. Let k be u(v). What is the nearest to 0.2 in 3\/8, 0, k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 1 + 6 + 0.\nAnswer: 8*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -0.2, 0.2, -0.09, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 16*a - 34. Let y be o(13). Find the second derivative of 5*m**5 - m**4 + 9*m**y + 14*m**5 + 14*m**5 - 179*m wrt m.\nAnswer: 840*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6589749 a multiple of 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*z - 1518*z = 3123*z + 559*z - 645590 for z.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 49\/14 - (-3)\/(-6). Suppose n*l - 42 = -2*s, l = -s - 0*s + 14. What is the remainder when l is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-209)\/(-1518)*46)\/(2\/6*1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -347 - -2.107\nAnswer: -344.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiy when three letters picked without replacement from {k: 7, i: 6, a: 1, y: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*h - 62459, 0 = -5*z - 4*h + 331273 - 18978. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 861.7 - -2899.3. Let x = p - 3743.13. Let o = -18 + x. What is o rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 92337, 184694, 277073, 369468, 461873, 554282?\n\"Answer: -g**3 + 17*g**2 + 92313*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3866250702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*a + 4*k, 3*a + 0 = -4*k + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -47 - 40.517\nAnswer: -87.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -0.3, 4, -2\/15, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 4. Let x(m) = -4*m - 12. Let s(k) = 7*p(k) - 2*x(k). Let q be s(7). Suppose -14 = -q*z + z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 380\/35 - -15.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -451668.234 rounded to the nearest ten?\nAnswer: -451670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53214.\nAnswer: 2, 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1466\nAnswer: 5\/1466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40 + -12?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5341528*t**3 - 1883*t**2 + 5684*t.\nAnswer: -32049168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12803*p - 13612 wrt p.\nAnswer: 12803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*x - 6710 = 184*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-5))\/((-2)\/5). Let z(n) = y*n + 3 + 2*n**2 - 3 - n**3 - 2. Let k be z(2). Solve 4*g = 2*d, -k*g + 6 = g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -141\/28, -5\/18, -0.5, 3 in descending order.\nAnswer: 3, -5\/18, -0.5, -141\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 36*w**3 + 4548*w**2 - 3044*w + 508 = 0.\nAnswer: -127, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2 - 5*l + 7. What is o(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1411 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 - 25 = 0. Factor q*a**2 + 70 - 115*a + 463*a**3 + 456*a**3 + 40*a**2 - 924*a**3.\nAnswer: -5*(a - 7)*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 953.89 to the nearest ten.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/1429 + 4280\/10003. What is the second smallest value in 3, f, -35\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-3)\/b)\/(b**(-1)*b))\/(b**(1\/3))**(-22))\/(b**(-3)*b**4)**32 assuming b is positive.\nAnswer: b**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 greater than 10317\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065295 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-12))\/(-1 - (-9)\/12). Suppose 6 = g*f + 16. Let l be 0 - (-2 - (f - (-1)\/(-1))). Is -2\/173 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 7*c**2 - c + 6. Calculate a(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 14. Suppose q*b = -5*m + 7 + 8, -2*m = -b - 6. Solve -4*j - 5*r - 6 = b, -2*j + 2*r - 1 = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3502 - -3510. Calculate the greatest common divisor of 148 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25, 52, 127, 274, 517, 880, 1387, 2062?\n\"Answer: 4*s**3 - s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16831176671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 437071529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -11*v**6\/120 + 5*v**3\/3 + 2*v**2. What is the derivative of q(g) wrt g?\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 10:46 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23113 or -23112?\nAnswer: -23113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*u - 56, 7 = 5*u + 4*x + 90. Let m be 2*(u\/6 - -1). Let y be -5*-3*1\/m. Sort y, 1, 0 in ascending order.\nAnswer: y, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*w + 134. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3491 + 3508 + 0 + (-1 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*j**3 - 11*j**3 - 10*j**3 + j**2 + 44*j**3 - 7*j - 15*j**3 to the form g*j**3 + a + b*j + w*j**2 and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) -21 (c) -5 (d) 1\/50 (e) 19\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54626 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: Let y = 17775 + -10146. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 238801136 + -663389588645\/2778. Let b = 6\/463 - i. Find the common denominator of b and (2\/8)\/((-15)\/(-166)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21885 or 213?\nAnswer: -21885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 12*m**2 - 10*m - 7. Let s = 31 - 20. Let x be h(s). Suppose -248 = -3*l - c, -x*c - 62 = -l + 12. List the prime factors of l.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -15. Suppose 0 = 2*m + 3*z - 16, -5*m + 2*m + 13 = -z. Suppose 3*k + 6 = m*q + 17, 2*q = -k. Solve -k = i*c + g - 0, c = -4*g - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20553?\nAnswer: 3, 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b + 16. Let h(p) be the third derivative of 4\/3*p**3 + 0 + 1\/6*p**4 - 5*p**2 + 0*p. Let r(j) = 7*h(j) - 3*t(j). Differentiate r(k) wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f + 21*f = -44. What is the highest common divisor of 407 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7552 by 4.\nAnswer: 1888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2317 (base 14) in base 6?\nAnswer: 44121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 - 1.7. Let k be (-2)\/5 - (-13)\/(-5). What is the nearest to 0 in k, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 22. Let z = 43 - i. Solve n + 6 = -2*n + 3*g, -5*g = 3*n - z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 3*g - 10. Let u be m(2). Suppose -u*c + 5 = 5. Solve c = -n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + (13 - 3 - 16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((((c*c*c*c**(-1)*c*c)\/c)\/c)\/c))\/c)**(-6)\/((c**(-1\/8)*c)\/(c*c**(-5\/2)))*((c**0)**(2\/93))**(5\/6) assuming c is positive.\nAnswer: c**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2573245 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + b + 4*b = -464, -3*b = 5*u - 580. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 10*g**2 + 12*g + 16. Let q be t(-11). Suppose -q*s = -266 - 9. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5002.3 + -5002.299961493. Round c to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 3566*d**2 + 71620*d + 358600.\nAnswer: -(d - 3586)*(d + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -136*h**2. Let f(g) be the third derivative of g**4\/3 - 811*g**2. What is f(i(c))?\nAnswer: -1088*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uelrb. What is prob of sequence ulru?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36875*h**3 + 23*h**2 + 2431299 wrt h.\nAnswer: -110625*h**2 + 46*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a + 74. What is c(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (5*sqrt(68) - sqrt(68))*5)*1)\/((sqrt(4) - 3*sqrt(4)*-4)*5).\nAnswer: -19*sqrt(17)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 21 = -2*j. Let p be j\/21 + 14\/3 + -1. Let n be 1*((-2 - -2) + 1). Solve n = -t - p*w, t - w - 3*w = 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24365*n - 26*n**2 + 24365*n.\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -400*u**5 - 25*u**4 + 89*u**2 - 4?\nAnswer: -24000*u**2 - 600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 31*o - 50. Let n(k) = -11*k + 15. Determine -11*n(j) - 4*q(j).\nAnswer: -3*j + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146*l**6 - l**5 - 833*l**2.\nAnswer: 17520*l**3 - 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.18 - -1.98. What is the nearest to 0 in -0.09, k, -3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -j + 5*j. Let k = 0 - j. Suppose -2*s = -s + 2*x - 29, -3*s + 109 = -5*x. What is the remainder when s is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -4026.\nAnswer: 362.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 276 = 5*q. Calculate the greatest common factor of q and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 - (31 + -9)) + 4 + 4 + 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/35*-1*(-146)\/438?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-8 - (-9 + 2) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5397545 rounded to three dps?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**4\/4 - 4*o**2 + 4*o. Let i(b) be the first derivative of f(b). Let x(v) = 2*v. What is x(i(y))?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 64785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3\/2 - 283575*o**2\/2 + 708885*o - 567100 = 0. What is o?\nAnswer: 1, 4, 56710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507523907 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1335 is divided by 71?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1414 and 706.\nAnswer: 499142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 221, 440, 653, 860, 1061?\n\"Answer: -3*j**2 + 228*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c. Let t be g(5). Let h be (-6)\/t + 38\/(-5). Let a = 2 - h. What is the smallest common multiple of a and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.1 + 1.9. Let d = 10.8 - q. Let v = d + 0.2. Which is the third smallest value? (a) v (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89714076.\nAnswer: 2, 3, 23, 325051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.5 - 0.5. What is the nearest to -2\/3 in 4, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.10885, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13 - 149 - 72 + 1 - 94 - 61*g. Determine o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 13, -3, -4, 5 in decreasing order.\nAnswer: 13, 5, -2, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.4 - 20.4. Sort c, -3\/5, 4\/5, -36.\nAnswer: -36, -3\/5, 4\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6407206 to the power of 1\/2, to the nearest integer?\nAnswer: 2531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 + 2*s - 2*s + (3*s - 3*s + 2*s)*(-2*s**4 + s**2 - s**2) + 0*s**2 + 0*s**2 + s**5 - s**5 + 1 - 1 + 32*s**3 + 10*s**5 - 32*s**3 - 1 + 1 - s**5.\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 379375453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 99309 divided by 71\nAnswer: 99309\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + (-4 - 0 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -115 - -934?\nAnswer: 81d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23804313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o - 270055*o**3 - 25*o + 47*o.\nAnswer: -270055*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 896724273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*h**3 + 0*h + 7*h - 8*h - 75*h**3 to a*h**2 + x + l*h**3 + f*h and give l.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 12*q + 16. Let m be y(-11). Suppose -3*l - 21 = -2*r + 4, 4*r - 47 = m*l. What is the lowest common multiple of r and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103568 (base 14) to base 2.\nAnswer: 10000101100100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*sqrt(125) + 0 + 4 + 5 + (sqrt(125) - (-1 + sqrt(125))))**2.\nAnswer: 390*sqrt(5) + 1294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35019.62ml in litres?\nAnswer: 35.01962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 11\/120*i**5 + 8*i**2 - 1\/24*i**4 + 0*i + 0*i**3 + 0. Factor f(w).\nAnswer: w*(11*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343 divided by -49.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 17*k**2 - 10. Let x be u(-8). Let h = x + -50. Solve w - 2*j - 12 = h*w, -2*w + 11 = -5*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 3*o**2 + 3*o**2 + 2.\nAnswer: 5*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -327\/118 or -4?\nAnswer: -327\/118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11) + 3 + sqrt(11))**2*-6 + (sqrt(1331)*3)**2*6 + sqrt(1331).\nAnswer: -61*sqrt(11) + 71556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbnn when four letters picked without replacement from bbbnnbnnddbbbn.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 10*d - 19. Let m be g(-8). Let a be (-160)\/(-15) - 4\/m. Suppose -a*b + 300 = -9*b. Calculate the greatest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5262525 (base 7) to base 9\nAnswer: 1171076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1931124642 to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.7 take away 26542?\nAnswer: -26477.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5811.\nAnswer: 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214409 by 16493.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 305?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g - 18. Calculate n(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/10*5\/2. Let k = a + -12. Let g(z) = -2 - 2 + 2*z + z. Give g(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 146702 = 13770. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2029653311.\nAnswer: 7, 47, 67, 92077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/7)\/c)\/c*c\/c**(4\/5))\/(c\/(c\/(c**(-2\/11)\/c*c))*c*c**(3\/7)) assuming c is positive.\nAnswer: c**(-843\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403660321132 minus -0.146?\nAnswer: -1403660321131.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 34548.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 2. Let r(a) = 3. Let d(i) = -6*r(i) + 5*w(i). Let g = -2096 + 2097. Let q(u) = -u + 1. Determine g*d(v) + 6*q(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (5 + -7))*-114. Suppose v = 3*b - 534. What is the greatest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -198\/5 (b) -1\/10 (c) 2\/9 (d) -2\/17 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/14968 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 0*n**2 + 2*n**5 + (-1 + 2*n**2 + 1)*(-2*n**3 + n - n) + (583*n**4 + 493*n**4 - 406*n**4)*(-3 + 3 + 2*n).\nAnswer: 1338*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1612 is divided by 1353.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 - 333888*w = 0. Calculate w.\nAnswer: -111296, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 2*q**3 + 0*q**3)*(-q**2 - 2*q**2 + 4*q**2) - 2*q**5 - 3*q**5 + 2*q**5 - 2*q**3 + 2*q**3 + q**5 + 2*q**2 - 92*q**4 - 3*q**5 + 92*q**4 + 2*q**3.\nAnswer: -7*q**5 + 2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 5*s. Let n be (2 - 4)*(s + 1). Let i(u) = 3 + 0*u - 9*u + 11*u. Give i(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18881 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7095 divided by 1?\nAnswer: -7095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 10*d**3\/3 + d**2 - 218*d - 87. Find the second derivative of p(c) wrt c.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 5143554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1845 (base 13) to base 4\nAnswer: 320112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -923074168649?\nAnswer: 923074168648.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -32237.63471.\nAnswer: -32237.23471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from cdddddddc.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/239 - 1199\/478. Let l = 12.0651 - 12.16. Let w = l + -4.9051. What is the smallest value in w, n, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -47. 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: Calculate the greatest common divisor of 81 and 14044968.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-24)*-2*(273\/4)\/((-12040)\/(-123840)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 2 = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.787 + 188.487. Let v = q + -188. Which is the second biggest value? (a) 4.4 (b) v (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2116588g in milligrams?\nAnswer: 211.6588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/9 - 298256*y**4\/9 - 5964314*y**3\/9 + 894764*y**2\/9 + 17296448*y\/9 - 11928640\/9 = 0. Calculate y.\nAnswer: -149108, -20, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 < 88794\/733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 200 = -3*d. Let m be (-15)\/d - (-70)\/16. Find the first derivative of -11*y**4 - 3*y**m + 10 + y**4 wrt y.\nAnswer: -52*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 10 + 6. Let z be 4\/95*(-20)\/n. Which is bigger: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1911506474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 1. Let j(x) = 20*x**3 + 3*x**2 - 4. Give j(d) + 2*z(d).\nAnswer: 16*d**3 + 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -29*v**2. Let u(k) = 13*k. What is u(m(c))?\nAnswer: -377*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -2.4, 1\/9, 53, 1131?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {r: 1, k: 3, f: 6, g: 7}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20118 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*((sqrt(108)*1)**2 + -4)*5.\nAnswer: 9360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - -3.01. Suppose 0 = -3*w + 5 + 7. Let j be (-14)\/20 + 6\/30. What is the nearest to j in d, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 638 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -19. Let x be 18\/t*-5*(-6)\/45. Suppose -5*z - 3*y = -6*y - 12, -3 = -2*z + 3*y. Solve z*o - 3 = -3*i, -x = o - i - 2*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6705b (base 14) to base 15.\nAnswer: 4e025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2764 + 5?\nAnswer: 2771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 35 + -18 + -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 49059 and 32557 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + sqrt(65) + (sqrt(65) + sqrt(65)*1)*-1 + sqrt(65) + 2*sqrt(65)*3)\/(1*(sqrt(405) - (sqrt(405) + (-1*1*sqrt(405) - sqrt(405))))).\nAnswer: 7*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 + 3 = 0. Suppose -u*f = -3*o + 289, 5*o + 18 = -4*f + 485. Calculate the remainder when o is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 + 9)*(2*z - 2*z - 2*z)*(4*z**3 - z**3 - 5 + 2*z**3) + 0*z + 0*z + z**4.\nAnswer: -89*z**4 + 90*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 744 (b) 0.5 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - 3. Let a be 3 + (1 - (-3 + 3)). Suppose a*o - o + 9 = 0. Let v(w) = 2*w - 4. Determine o*v(q) + 4*p(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 952.9839 litres in millilitres?\nAnswer: 952983.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -9. Let w be (3\/(r\/(-1)))\/(-1). Solve -20 = -4*z + 2*i, 4*i + w - 11 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.07 (b) 240 (c) -5\/3 (d) 2\/7 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5 + 3 = 0, 5*f + 2 = -j. Does f = 7\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103ea6 (base 15) to base 13\nAnswer: -2109a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2212.2 + -0.2.\nAnswer: -2212.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 28*l**2 - 2536*l + 74275. Give j(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 6. Let b be v(3). Suppose -t = -b*n + 8, -2*n - 2 - 2 = -2*t. Find the first derivative of -8 + c**4 - 1 - c**4 + t*c**4 wrt c.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + i + 0*i)*(-10 + 7 - 17) in the form l*i + c and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1\/11 - (22\/((-5566)\/(-24771)))\/(-1))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3 = -5*q, 3*k = -0*k + 2*k - 3*q - 8 + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - q. Let r(j) = -16*j - 32. Let o be r(-2). What is g(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 2:38 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*y + y - 177595 = 0, -3*p + 177597 = 3*y. Suppose s - p = 5*s. Round s to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z - 23*z = -97*z - 110 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2780\/417*(90\/(-25))\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 78*k - 16. Calculate f(5).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -338910336 divided by 4416?\nAnswer: -76746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.4, -10, 0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101177278 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1246 by 24269.\nAnswer: 178\/3467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -22. Let s = 22 + a. Let d = 2.862 - -0.138. What is the nearest to -1 in d, 20, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - 5*b - 15 = 26*q, 10 = -3*q + 5*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 17*j**2 + 7*j + 7. Let u be x(8). Is 2\/279 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4139*f**3 + 8275*f**3 + f + 26 - f**2 - 4137*f**3 + 7*f**4 in the form m*f**4 + t*f**3 + y*f + l*f**2 + q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19313 + -19309.2. Which is the third biggest value? (a) 0.04 (b) k (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 35*s - 147. Let l be g(5). Let k = -1 + 1. Let u(t) = 71 - l - t + k*t. Give u(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -46, 7, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwpwww. Give prob of picking 3 w and 1 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - 6) + 4 - 10) + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587784?\nAnswer: 2, 11, 18043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 27906*l - 21196944.\nAnswer: 3*(l - 706)*(l + 10008)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -31*t. Calculate o(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 4\/19, 36\/47, 4, 1\/60, 1\/5?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1 (b) -6783 (c) 1\/5 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2199*i**3*z + 2*i**2 - 16*i*z wrt i?\nAnswer: 13194*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, b: 1, r: 4, d: 1, c: 1}. Give prob of sequence rrb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30107, 60220, 90339, 120464, 150595, 180732?\n\"Answer: 3*m**2 + 30104*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16544 + 30133. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 9:41 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*n = 109*n - k + 100, 0 = 4*n + 5*k - 59. Solve -n = 8*l + 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - -4) + -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 94549402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 16) + (-8 - (3 - 8)) - -16\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -7*v**4\/48 - 2*v**3\/3 - v**2\/2 - 3*v - 5. Let s(f) be the first derivative of z(f). Factor s(k).\nAnswer: -(k + 2)*(7*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y**2 - 46 + 749 - 703.\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46508*k + 23250*k + 23258*k + k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 59*w + 999. Let k be x(-17). Let s(u) be the first derivative of -u**4\/4 - u**3 + u**2 - 3*u + 14. Determine s(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6003 - 3283. What is the greatest common divisor of 816 and o?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7485 rounded to the nearest one hundred?\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(80\/5)*10*(-5)\/((-150)\/115).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63660201 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbxbxbxwxb. Give prob of sequence wxw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*f**2 - 1)*(-2*f**3 + 4*f**3 - 3*f**3) + 68*f**5 + 51*f**5 + 12*f**4 - 127*f**5 + 5*f.\nAnswer: -4*f**5 + 12*f**4 + 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*o = -76*o + 118616 + 260479. Which is smaller: o or 2989?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, -1, -5, 11 in descending order.\nAnswer: 11, -1, -1.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14124435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 455070 = 3*i - 12*i. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:54 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -57. Let f = -21 + a. Suppose -l - f = -2*w - 0*l, w - 14 = 3*l. Solve 2*h + 7 = -t, 3 = -w*t + t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1292 - -10029. What are the prime factors of y?\nAnswer: 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -624.099 + 624. Let l = 0.201 - p. Let k = 16\/9 + -130\/63. Which is the smallest value? (a) k (b) -2 (c) l (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 6. Let v be h(-8). Let r be (2\/(-10))\/(4\/(-10))*6. Suppose 4*l - 4*i = 30 + v, -r*i - 25 = -2*l. Solve -4 - l = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**3\/6 + 9*v**2\/2 - 3*v. Let r be o(-6). Factor -2\/3*k**r + 0*k**2 + 0 + 2\/3*k.\nAnswer: -2*k*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.024, -0.0176, -5?\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 2 - o**2 - 2*o + o + (-2 - 6 + 5)*(20*o - 52*o + 26*o)*(1 - 1 - o) in the form x*o**2 + l*o + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*x + 0 + 12*x - 7*x + 2*x + (2*x + 2 - 2)*(12 - 9 - 16) + (3*x - 5*x + 4*x)*(1 + 0 + 0) - 1 - x + 1.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-25 + -29 + -4).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00038472558 rounded to 5 decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-22 - (-18 + 2 - -6))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 4, j: 3, s: 9}. Give prob of sequence xxs.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + sqrt(2299) + -1 + 3 + sqrt(2299) + -5 + sqrt(2299))*-1)**2*5 + -1.\nAnswer: 990*sqrt(19) + 103499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 66462.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, o: 5, n: 3, s: 1}. Give prob of sequence ns.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -2) + (15 + 12 - 19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 634*a**4 + 5*a**2 - 15*a + 322. Let m(i) = -i**4 + i**2 - 3*i - 3. Let b(v) = d(v) - 5*m(v). Find the first derivative of b(u) wrt u.\nAnswer: 2556*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - a. Let y be g(0). Suppose 2*h = -y*h + 2*b + 12, 0 = h + 4*b + 14. Let q(z) be the first derivative of -5*z**2\/2 + 3*z + 1. Determine q(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -510*s**5 + 2*s**2 + 7*s + 48.\nAnswer: -10200*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -347*4.\nAnswer: -1388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-6 - (-2 - (-2 + 3 + 1)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + -1)\/((-15)\/(165\/22)). Suppose -3*k - j*a = -90, 15*a = 10*a. Solve 35*s - 15 = k*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvyy when four letters picked without replacement from {t: 6, y: 3, v: 4, c: 1}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*b - 2*b**3 + 8*b - 5*b**5 + 0*b**2 + 0*b**2 + b**5 + (-2 - b**3 + 2)*(0*b + 0*b - 2*b**2).\nAnswer: -2*b**5 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368374844, -368374846, -368374848, -368374850, -368374852?\nAnswer: -368374854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5191 and -872408?\nAnswer: 867217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16962981 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -716 - -1059. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - -2 - 2)\/(-2))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o**2. Let n(y) = 23*y**2. Calculate n(m(u)).\nAnswer: 1472*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.43 + -96.27. Let f = y + 98. What is the second smallest value in 5, f, -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 + 1.45?\nAnswer: 616.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(475)*-2)**2 + sqrt(209)\/sqrt(99) - (-2 + (-2 + sqrt(1539))**2).\nAnswer: 109*sqrt(19)\/3 + 758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 23 - 176 = 0. Let w be (-36)\/12 + -1 + 0. Let j be (-4)\/(-54)*k - w. What is the biggest value in -2, j, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 468219, 468302, 468387, 468474, 468563, 468654?\n\"Answer: g**2 + 80*g + 468138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5570, 11214, 16932, 22730, 28614, 34590, 40664, 46842?\n\"Answer: l**3 + 31*l**2 + 5544*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -37254?\nAnswer: 1\/12418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/106208 and -31\/10.\nAnswer: 531040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*n**2 - 80*n**2 + 2*n - 14*n**6 - 25*n**6 wrt n?\nAnswer: -4680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/5 - 0)*(-3975)\/1590 - -129. Calculate the greatest common factor of 1666 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 2*p + 14. Let j be u(-5). Let i be (-2)\/j + (-5 - -5). Solve 0 = -k + 4 - i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qttzuuttzktuuzttqttz. Give prob of sequence qqu.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166947*n**3 - 55*n**2 - 4742*n - 2 wrt n.\nAnswer: 1001682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 0*q**4 - 3*q**4 + (1 - 1 - q)*(0*q**3 + q**3 - 2*q**3) - 4*q**4 - 9*q**4 - 13*q**4.\nAnswer: -29*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3729.419 - -3734. Let l = 0.119 + t. Round l to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**3 - 2*y**2 - 5*y - 4. Let r(o) = 4*o**3 - o**2 - 4*o - 3. Let s be (1 + -2 + -2)\/1. What is s*m(a) + 4*r(a)?\nAnswer: 4*a**3 + 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/4 - 33647*r**2\/4 - 50475*r\/2 = 0.\nAnswer: -3, 0, 33650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-12)\/(300\/5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-39)\/(-6) - -1. Let a be 32\/f - 8\/(-12). Let q = -6 - -2. Sort q, 4, a in ascending order.\nAnswer: q, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-6*t - 2*t + 3*t) - 23*t - 9*t - 22*t + (1 - 1 - 1)*(4 + 3*t - 4).\nAnswer: -62*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9000, 18003, 26992, 35967, 44928, 53875?\nAnswer: 62808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -399 + 786. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 149434556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 - -80. Suppose 6*m + 3 = t. Let u = 60 - 29. Solve 32 = 5*k - 4*x, -m*k = -6*k + 5*x + u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m**2 - 11*m**2 + 6*m**2)*(-44*m**3 + 53*m**3 - 32*m**3).\nAnswer: 345*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 676 and 5070.\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 96.0586.\nAnswer: 98.0586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -17*h + 24*h. Suppose 28*n - 66 = 6*n. Sort -28, 1, h, n.\nAnswer: -28, 1, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 37*f**3 + 117*f**2 - 119*f + 40.\nAnswer: -(f - 1)**3*(f + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4956, -5018, -5080, -5142, -5204?\n\"Answer: -62*h - 4894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28b2 + 1?\nAnswer: 28b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13641440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 156156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*h + 735 - 21. Calculate the highest common factor of 21 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 5:21 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 153, 134?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yypgyggegyeggglgg. What is prob of sequence gg?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/36954 and -5\/54?\nAnswer: 110862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -137*s**2 - 23*s - 12. Let c(x) = -133*x**2 - 26*x - 14. Give 6*c(y) - 7*h(y).\nAnswer: 161*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -641440 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.25, -0.02, 0?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 4*h + 4. Let x be m(2). Suppose -5*a - 6 = 4. Let j = 0.7 + 0.3. What is the smallest value in j, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**7))\/m)\/m**6)\/(m\/(m\/m**(-4))*m**(-1\/4)) assuming m is positive.\nAnswer: m**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 2109.8, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -136317.6619 to 0 dps.\nAnswer: -136318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2\/13 (c) -21\/40 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (37872\/42606)\/((-172)\/18)\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -7*x**3\/3 - 3*x**2\/2 - x - 10. Let d = 6 + -3. Suppose d + 7 = -5*q. Determine o(q).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3348, 6703, 10058, 13413, 16768, 20123?\n\"Answer: 3355*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*q + 12 + 128. Let o(r) = -11*r**3 - r**2 + 2*r + 2. Suppose 0 = -2*a - 8 + 6. Let t be o(a). Solve -q + t = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3*k = -675. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 + 5 = 0. Let o be 2 + 1\/((-4)\/a). Let u be ((-8)\/6)\/((-5)\/(-15)) + 8. Solve -3*g - u*x = 0, 4*g - 2*x = -o*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156203039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -126044, -125977, -125874, -125741, -125584, -125409?\n\"Answer: -s**3 + 24*s**2 + 2*s - 126069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i + 2. Let b = 42 + -37. Let y(q) = -3 - 1 + 8 - b + 4*q. Give -6*s(j) - 11*y(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1382 divide 2439810588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 12:19 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68541 and 27537?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-57))\/(3\/(-6)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (-20 + 17 + 3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 410 = -s + w, 0 = -2*s - 4*w + 780. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-3 + (0 - 1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3*h + 17*d**3*s + 3*d**3 + 203*d**2*s - 15247*h*s + h wrt h.\nAnswer: d**3 - 15247*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 578 - 8198. Suppose -8*c + 3*c + s = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31009, -61846, -92683, -123520?\n\"Answer: -30837*s - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(128) + 1 + -3 + sqrt(8)\/(sqrt(4)*-3) + 2 + 4.\nAnswer: 2 + 23*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8550?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 1:47 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63132 bigger than 63089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 4) to base 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 296187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/188 and 53\/156.\nAnswer: 7332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 408630560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = 3*a + 2, -a + 5*k + 20 = 0. Suppose a = -2*b + b. Suppose 0 = 3*s - 7*s - 8, b = 3*z - 2*s - 309004. Round z to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 + 80*v - 15. Let h be d(-27). What is the highest common factor of 162 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3 + 1. Let a = -4 + y. Is -2 - (a - 24) - -2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 12. What is b(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from ioooioooiokiiiiiik.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 44863 and 3189.88.\nAnswer: 48052.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 19*u + 191511 = 7*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -322 + 325. Which is the closest to -1.8? (a) -4 (b) -2 (c) f (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372951 is divided by 165.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357 a factor of 36396594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 - -99. Let d be (-7774)\/(-78) + 2*1\/b. What is the highest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8255.425g to nanograms.\nAnswer: 8255425000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40139*q + 10518*q + 16298*q.\nAnswer: 66955*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7a9 (base 12) to base 4\nAnswer: 101301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 10 - 8. Let h = -278 - -272. Let u = h + k. Solve l + u = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 18. Suppose -6 = -3*x - 0, 5*m + 5 = -5*x. Do m and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (253*t - 37*t + t)*(-t + 3*t - 1 - t).\nAnswer: 217*t**2 - 217*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (7 - -6))*72\/96 + 4\/1.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p = 64. Let a be 7 - 13\/(78\/18). Solve 2 = -2*r - z - 10, p = -4*r - a*z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 14.3. Which is smaller: -6 or d?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553240 is divided by 165?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3642*r**3*u**2 - 43*r**3*u + 24*r*u**3 + 170244*u wrt u.\nAnswer: 7284*r**3 + 144*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 0*m - m)*(10 + 2*m + 46 - 21) to u*m + k*m**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12356*a - 28578 - 193145 = 346653 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0094159155914 and -0.62?\nAnswer: 0.6105840844086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 - 3. Let a = -303 - -911\/3. Sort a, 1\/2, x.\nAnswer: x, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141 + 138. Suppose 8 = 4*v, -76 + 7 = 3*n - 3*v. Let z be (-4)\/(-7) + -5 + (-156)\/n. What is the nearest to 0.1 in z, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**6 - 29685*y**5 - 2*y**4 + 15672038*y**2?\nAnswer: 480*y**3 - 1781100*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/60 + c**4\/24 + c**3\/6 - 2*c**2 + 1. What is the remainder when u(-7) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582479 is divided by 2942.\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20926 (base 10) in base 13?\nAnswer: 96a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -213?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14370, -57436, -129204, -229668, -358822, -516660?\nAnswer: -703176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1214*u + 1223*u - 3132 = 0. What is the highest common divisor of 16 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**3\/3 - 7*l**2\/2 - 4*l + 50. Let t(n) = -1. Determine 10*t(o) - 2*w(o).\nAnswer: 4*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 983.383 decades in centuries?\nAnswer: 98.3383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = g - 20, r + 97 - 101 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**5\/40 - t**4\/6 - 5*t**3\/12 - 25*t. Factor o(f).\nAnswer: f*(f - 5)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 + 32*l + 1. Let w be k(-8). Let s(q) = q + 6. Let v(h) = -1. Determine w*s(c) + v(c).\nAnswer: c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f**2 - 49*f + 10. Let n be v(4). Suppose -5*l + 2*h = 7, -15 = 3*l + 5*h + 14. Sort l, n, 1.\nAnswer: l, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from vqvhvqvvqvhqv.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*h + 46977 - 185306, -w = -5*h + 46121. Let n = 72000 + w. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, t: 2, r: 6, k: 5, a: 1}. What is prob of sequence tr?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*u, -7*u + 2*u + 31 = 2*c. Suppose c*z + 0*z = 33. What is the smallest common multiple of 4 and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 62. Suppose -5*p + 30 = 2*x, -5*x = -l*p - 8*x + 35. Let i(d) = 20*d**2 - 5*d - 17. Does 44 divide i(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -1.2, 15, -2\/11?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4 + 14*s**3 + 6*s**2 - 62*s + 40 = 0. Calculate s.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -165*x. Let r(v) be the second derivative of 0 + 0*v**2 + 1\/6*v**4 + 0*v**3 + 7*v. Determine r(z(p)).\nAnswer: 54450*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*j - 7 = -92*j - 5*z - 13, -9*j - 2*z + 26 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - f - 27 - 12 + 1, 136 = -4*g + 608*f - 612*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(3 - 168*f - 3)*(15 + 0 + 13) to h + t*f and give t.\nAnswer: -4704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3538, 8291, 14256, 21433, 29822?\n\"Answer: 606*k**2 + 2935*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6)*(10 - 12). Which is the closest to -1\/4? (a) 18 (b) 2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4\/7, 1\/8, -0.4 in descending order.\nAnswer: 2, 1\/8, -0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/618 and -81\/38.\nAnswer: 11742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19470, 19519, 19568, 19617?\nAnswer: 19666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z = 17*z + 5*g + 9, 3*g = -15 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + v**2 - 1. Let g(l) = -l**2 - l + 1. Let j = 14 + -10. Let x(w) = 2*w - 6. Let t be x(j). Determine t*n(d) + 2*g(d).\nAnswer: 2*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1766082.83 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*-3*(-1)\/3. Suppose y*a + 4*g = 201 + 107, -2*a - 2*g = -122. Suppose -64*s - 79*s + 34 = -252. Calculate the lowest common multiple of a and s.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-75)\/20)\/((-1)\/(-8)). Calculate the remainder when 8\/(-6)*t\/4 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 + 108*r - 2*r**2 + 2*r**4 - r**3 + 103*r - 217*r in the form y*r**4 + n*r + o*r**2 + x + l*r**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -457 by -457.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20856212 + 20856213.0500061. Let g = v - 1.05. Round g to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 6\/(-15) + (4 - (-685)\/25).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1168.1 - -1088. Let v = r - -80. Which is the second smallest value? (a) v (b) -0.08 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b + 6*b = 26*b - 228 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfwwwfwwwwfff. What is prob of picking 4 w?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 190587213 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k. Suppose -5*w - g + 17 = -0, 5*g = 10. Let h(f) = 5 + f**2 - 4*f**2 - w. Let i(b) = -4*b**2 + 3. Let p(d) = -3*h(d) + 2*i(d). Calculate y(p(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*r**3 - 20*r**3 - 12*r**3 - 14*r**3 - 22*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/238 - -353\/952. Let d = 31 + -28.9. Let r = d + -1.9. Which is the third smallest value? (a) r (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2249000 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20339035381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.422 - 1.578. Is z >= -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33686 is divided by 49?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 10. Let n be j(-8). Suppose 0 = -d + 6*d + 10. Is d\/(n\/1)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 73, 204, 531, 1144, 2133, 3588?\n\"Answer: 15*b**3 + 8*b**2 + 2*b + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40059 is divided by 413.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 take away -81272433?\nAnswer: 81272446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (57 - 67 - (-2 - 13)) + 11\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 + 89*b**2 + 24*b + 43. Determine r(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1279 + -2254. Let y = -328 - j. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-5\/9)))\/f*f**(-11\/2))**(-2\/117) assuming f is positive.\nAnswer: f**(127\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -26.2. Which is the closest to 2\/9? (a) -3 (b) x (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 4\/37 (c) 2\/13 (d) -1 (e) 4\/19 (f) -2.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12562 + -12548. Suppose 0*a = 5*a - 30. What is the highest common divisor of a and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 + -120.07. Let f = -0.91 + q. Which is the smallest value? (a) 0.05 (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60584, -121171, -181760, -242351, -302944?\nAnswer: -363539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1140400 - 120?\nAnswer: -1141020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 + -0.1. Let d = -79.72 - -56.72. What is the closest to l in -3, d, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.493823 millennia in months?\nAnswer: 113925.876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2. Let t(k) be the second derivative of -46*k + 0*k**2 + 0*k**3 + 0 + 9\/4*k**4. Calculate t(x(q)).\nAnswer: 27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 2\/3 (b) -0.081 (c) -0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 954 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 - -97. Let m be ((-1)\/p)\/((-4)\/12)*-1. Solve d + m = -1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**3 + 309*n**2 + 348*n - 3712. What is j(104)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 328830 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.75948 years to centuries.\nAnswer: 0.0875948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -21.8. Let k be (-4)\/18 - 64\/(-126). Which is the third smallest value? (a) y (b) k (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179431.\nAnswer: 7, 25633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -1.2 (c) -1.8 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.04513 - 16.\nAnswer: -22.04513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 7:15 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 - 93*l**2 - 608*l - 516 = 0.\nAnswer: -86, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37\/172041 or -1?\nAnswer: 37\/172041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61072 and 92488.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + a**2 + a + 11. Let v be t(0). Suppose 10*o + 5 = v*o. Let q = -34 - -89. What is the greatest common factor of q and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 79\/2 + 40*x + 1\/2*x**2 = 0.\nAnswer: -79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (-629532)\/(-44957))\/((-6)\/(-66))?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x - 20. Let b be 32\/x*1*-5. Let g be (-475)\/(-30) - (-4)\/24. Calculate the greatest common factor of g and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (97\/(-95))\/(14\/35) and (1164\/30)\/((-348)\/145).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 380 + -365. Let c = -5 - -14. What are the prime factors of c\/f - (-504)\/10?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376723038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4429046?\nAnswer: 2, 83, 26681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4736*g - 4683*g - g**2 + 101*g**2 wrt g.\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 17*s**2 + 17*s + 27. Let v be w(-18). Let i be v\/10 + 1\/2. Put 0.3, -2\/5, i in descending order.\nAnswer: i, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -47. What is the smallest common multiple of 3 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/3)*s**(4\/11))\/(s**(-11)*s\/(s*s**4*s)) assuming s is positive.\nAnswer: s**(584\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 4*p**2 + 5*p + 5. Let n be s(-5). Suppose 9 = -2*h + n*h. Is (-2)\/(h*6\/(-2637)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + x. Let l be f(-1). Let h be l\/(12\/34)*-2. Let u be (-1)\/4 - h\/4. Solve -4*v = 4*p - 16, 5*p - 10 = -2*v + u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*v + 26. Let b(z) = 9*z**5 - 11*z. Let a(u) = -4*u**5 + 5*u. Let q(w) = v*a(w) - 6*b(w). What is the second derivative of q(h) wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f**2 + 31*f + 31. Calculate i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 - 6*q**2 + q. Let r = -1632 + 1637. Let v(h) = 2*h**3 - 5*h**2 + h. What is r*v(o) - 4*l(o)?\nAnswer: -2*o**3 - o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3978*k + 35784. Give j(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*i - 4. What is the third derivative of -a**5 + 3*a**i + 2*a**5 + a**5 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5480*j - 10. Suppose 19*i - 12*i = -14. Let p be k(i). What is p rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15399847 or -15399821?\nAnswer: -15399821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 1061\nAnswer: 424.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*4*4)\/(sqrt(225)*-3).\nAnswer: -16*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6762 - -6733. Which is the second smallest value? (a) 0.033 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*t - 1914 + 1812 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153 + 152.795. Let u = n - -0.20499767. What is u rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 4, 20, 52, 106?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8166 - -8440. Calculate the greatest common divisor of x and 5617.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507384 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 9*x**2 - 6. Give n(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let f(y) = -3*y + 96. Give k(f(q)).\nAnswer: 3*q - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*f - 8 = 6*x, -5*x + 3*f - 40 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/2)\/(a\/(a*a\/(a*a**(-19\/4)*a*a))*a*a)*a\/(a**(4\/5)*a)*a*a**(-5\/3) assuming a is positive.\nAnswer: a**(-133\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 1\/(-2)*(-1 - -1). Suppose -w*p + 592 + 384 = 0. Is p a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f + 728 = -5*t, -3*t + 5*f = -5*t - 3*t + 3*f + 49 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnbnnbnnbnbnhbn. Give prob of picking 3 b.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, 2344, 7679, 18072, 35209, 60776, 96459?\nAnswer: 143944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = c + 7*s - 1, 2*s = 2*c + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 526672771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owdo when four letters picked without replacement from ddwoooowooowodowdwwo?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.392 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 5221.\nAnswer: -2088.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1334 - 414 = 0. Round f to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3055 + 3061. Solve -5*p = -3*f - m, 11 = -p + 2*f + 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4786358?\nAnswer: 2, 2393179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*l - 14, 3*l = j + 6*l - 5. Let n(b) be the first derivative of -3*b**2\/2 - 4*b + 2. What is n(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 + -13. Let l = u + -117.0000125. Round l to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5395)\/(-332))\/((-10)\/(-4))*(-8)\/16?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 39472000 to the nearest one hundred thousand.\nAnswer: 39500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/15 - 6056*i**2\/15 - 925298*i\/3 - 63589372\/15 = 0.\nAnswer: -1507, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 5)\/1 + 3. Let p be 27\/4 + (-1)\/(-4). What is the second derivative of r*c**5 + 12*c + 0*c + 0*c - p*c wrt c?\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 7:06 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/44)\/(1602\/(-240834)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5, -5 = 5*b - 3*q + 10. Suppose b = -5*p + 33 + 47. Let t = 5 - -3. What is the highest common factor of p and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2735, 2724, 2713, 2702?\nAnswer: 2691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 89, -1\/7, -5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/((-38675)\/(-175)*2\/13)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23059*g*n**2 - n**2 + 2*n + 638 wrt g.\nAnswer: -23059*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + 2*u)*(3*u**3 + 3*u**2 - 3*u**2) + 5*u**4 - 5*u**4 - u**4 + (4 + 0 - 3)*(-3*u**4 + u**4 + u**4) + 227 - 1869*u**4 - 227.\nAnswer: -1874*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12725 divided by 32.\nAnswer: 12725\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) 24 (c) 3 (d) 0 (e) 2 (f) 320\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -5.85\nAnswer: 1.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + l - 1. Let o(x) = -28*x**2 - 10*x + 155. Calculate 2*o(p) + 18*u(p).\nAnswer: -2*p**2 - 2*p + 292","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.27858nm in meters?\nAnswer: 0.00000009227858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 41. What is the third smallest value in -2\/7, l, -1\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 3*o**2 + 2*o**2)*(-2 + 4*o + 4 - 2*o)*(5*o**2 + 2*o**2 - 5*o**2).\nAnswer: 12*o**5 + 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 7. Let y = 3 - 3. Suppose 2*o + 0*w - 50 = 3*w, w = y. Suppose -5*d + o = -n, 6*n + 2*d = n + 10. Give r(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + x + 4)*(-2*x - 7*x + 7*x)*(38*x - 120*x + 53*x)*(x - x + 2*x).\nAnswer: 116*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 19*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*u - 5 = 0, 3*w - 10 - 3 = -u. Suppose -5*l + 370 = -0*l + s, 74 = l - w*s. Is 37 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2107 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21*(3 + 15\/(-9)). Let h = -4 - 2. Let v be 10\/20 + h\/q. Which is smaller: v or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**2 + 47*h**2 + 157*h**2.\nAnswer: 192*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2027, 451 in decreasing order.\nAnswer: 2027, 451, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 9 - 22*w**2 + 59*w**2 - 16*w**2 - 14 in the form k*w + l*w**2 + j and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1001, -7\/664, -1\/2?\nAnswer: -7\/664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d - 10. What is p(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54372 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10.6393 * 0.5\nAnswer: -5.31965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 19 = 9*v - 4*f, 0*f + f + 7 = 2*f + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -8) + 3 - (13 - (6 - 13))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-41)\/6 + 1\/(-6). Let z = a + 8. Solve 5*s + 21 = z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102411 - 224?\nAnswer: 102132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - w**2 + w - 2. Let a = 4 + -21. Let k = a - -19. Is v(k) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 16 = -4*l, 4*k - 9 + 0 = 5*l. Let n be (-24)\/l + 16\/(-20). Suppose 15 = n*b + 3. Solve b*t - 5 = 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105183387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) 0.9 (c) -1\/4 (d) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 326, -4\/7, -0.008?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2. Let r(t) = -t**2 - 1. Let n = -1 - -16. Let w = n - 14. Let k(c) = -8*c**2 + 2*c - 10. Let y(o) = w*k(o) - 12*r(o). What is 5*g(v) + y(v)?\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 460730629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/221, -2\/3, -3, -0.2, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 43 - 62*v + 26 - 18*v in the form x*v + h and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 8630\nAnswer: 3\/1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -78 + 43 + (23 - 5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -3106?\nAnswer: -3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 11439*k - 3087*k - 1624*k + 10736*k in the form m*k + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7762 = -21995*y + 21999*y + x, -y - 5*x + 1874 = 0. Factor -72*g + y + 2\/3*g**2.\nAnswer: 2*(g - 54)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 3, 0, 325, 1 in descending order.\nAnswer: 325, 3, 1, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p. Let t(q) = 5*q**2 + 20822*q. What is t(g(c))?\nAnswer: 20*c**2 - 41644*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*u + 313*u**2 - 294*u**2 - 10*u**2 as m + j*u + y*u**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from ggcgggggcgcggccg?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -984, -982, -980, -978, -976, -974?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -77907*v + v**2 + 77907*v - 4*v**3. Let q(f) be the first derivative of -f**4\/4 + 3. Suppose 2*l + 4 + 4 = 0. Calculate l*g(j) + 14*q(j).\nAnswer: 2*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 8. Sort t, 4, -2.\nAnswer: -2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-3 - (0 + 194)). What is the highest common divisor of 88 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 146349\/(-11615) + -2 + 26\/10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/6 - (-1 - 0). Which is smaller: -7 or q?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2924 and -1.\nAnswer: 0.2924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-5 + -6 - -22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 55*d - 4511. Let x be w(82). Let g be 1\/6*48\/(-534). Which is bigger: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k + 8*k + 2125*k**3 - 2063*k**3 wrt k.\nAnswer: 372*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 3. Let d(c) = -5*c + 6. Let v(y) = -d(y) - 2*h(y). Let t(x) = 12*x - 4*x - 14*x. Give t(v(j)).\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(84)\/(-1*sqrt(972)).\nAnswer: -sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*u = u + 585, -267 = -2*g + 5*u. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-25))\/(2\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:26 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*31\/(-434))\/(12\/21)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125 - -151. Is 8 a factor of (-4)\/j - (-20604)\/78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 19. Suppose -5 - a = -2*l. Suppose 3*m = -w + 146, 5*w = -l*m + m + 202. What is the greatest common divisor of 24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + a**2. Let j be q(-1). Suppose -j*w - i + 17 = 0, 4*w - 5*i + 12 = 39. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 - 35*w + 51. Calculate y(-17).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.2 (b) 2\/5 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**5\/60 - q**4\/4 + q**3\/6 + 3*q**2. Let h be f(-6). What is the units digit of (-3 + 2 + 16)*h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156*u**3 + 30*u wrt u?\nAnswer: 936*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -2\/2497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -31.689?\nAnswer: 158.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -783856837 + 783856891.00000232. Let d = -54 + v. What is d rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/1811570761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 18 - 18. Let a be f(-2). Does 20 divide (-4)\/a - (-282)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*m - 49, m + 5 = -0. Solve 0 = -y + f - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z - z**2 + z**2 + 3*z**3 + 7*z**3 - 27*z**3 to the form y*z**2 + w*z + d + p*z**3 and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.366865763 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28819631.\nAnswer: 1087, 26513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -16130?\nAnswer: 6452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3622877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.5 (b) 0 (c) 12 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(33)\/(sqrt(396)*-1 + sqrt(11)).\nAnswer: -6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/409 or 1?\nAnswer: 12\/409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -716.94 + 730. Let x = l - 13. Put 0, 2\/7, x in decreasing order.\nAnswer: 2\/7, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2493 - -2493.07. Put 3, y, 0.1, -4\/5 in descending order.\nAnswer: 3, 0.1, y, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2380349 or -2380347?\nAnswer: -2380349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -713\/8 or -2\/11?\nAnswer: -713\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 346629 by 681.\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 + u**2 + u. Let c be m(-1). Calculate the greatest common divisor of c and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d + 11. Let j(a) = -a - 5. Give 7*j(m) + 3*r(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 533266 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 689827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 4664.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*y + 525. What is the highest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1.42 (c) 1443\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 - -200.0646. Round j to 3 dps.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 18 = 3*p, -5*y - 2*p + 13 = -8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0)\/(1\/1). Let v = 1 + i. Sort 2\/13, 3, v in decreasing order.\nAnswer: 3, v, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1008) - sqrt(1008)) + 4)**2 + -1 - ((sqrt(343) + 2)*3 - ((sqrt(343) - 1*1*sqrt(343)) + sqrt(343))).\nAnswer: -302*sqrt(7) + 9081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1284, -1301, -1336, -1395, -1484?\n\"Answer: -x**3 - 3*x**2 - x - 1279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:58 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-711830)\/(-4) + 0\/(-7) - (-33)\/22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**3 + w**2 + w. Suppose -4*p = -2*j, 4 + 6 = -3*j - 4*p. Let c be o(j). Let k = -32 - c. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5497, -10995, -16493, -21991, -27489, -32987?\nAnswer: -38485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/322 at most as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -146, 2, 1131 in decreasing order.\nAnswer: 1131, 2, -2, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -42.007. What is t rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 k when three letters picked without replacement from {t: 4, k: 2, p: 2, f: 3, j: 6, m: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63275 + -24391. List the prime factors of t.\nAnswer: 2, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 7*w - 52 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4482557.\nAnswer: 4482557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 35624753?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:19 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*y + 7783 - 28542, -3*y - 34550 = -5*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.7, 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 11 + 32. Let r be ((-18)\/j)\/((-10)\/(-35)). Let d(h) = 2*h**2 + 4*h + 2. Let b(m) = -4*m**2 - 7*m - 4. Give r*b(y) + 5*d(y).\nAnswer: -2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:32 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145096*u**3 - 16*u**2 - 18346860*u?\nAnswer: -870576*u - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/9)\/((-125)\/(-225)). Suppose h - 1 - 3 = 0. Sort 1, 11, h, j.\nAnswer: j, 1, h, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, c: 6}. Give prob of sequence ggg.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Suppose q*i - 205 = 152. Suppose w + 4*r - 31 = 0, 5*w + 2*r = -0*r + i. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43186 is divided by 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4049*s - 9378*s - 6819*s - 2 - 2354*s.\nAnswer: -14502*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 2*b**2 + 46*b**2 + 4*b.\nAnswer: 44*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913381 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 936.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 25.8. Let x = 3 - g. Let w = -483 + 478. What is the third smallest value in w, x, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(28))*-4 + -2.\nAnswer: -8*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3235267 - -57.23.\nAnswer: 58.5535267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 32*a**2 - 4 + 29*a**2 + 0 + 4*a. Let r be (-20)\/(-5)*1\/(-2). Let w(l) = -10*l**2 + 5*l - 13. Let h(t) = r*w(t) + 7*x(t). Determine h(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 5, 32, -1, -66, 1 in descending order.\nAnswer: 32, 20, 5, 1, -1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*t**3 + t + 34.\nAnswer: 948*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4740 - -9120. Let u = k + -193. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -705648396170058 - -176225807866156829023\/249736. Let o = -7407\/8 + m. Let a = o + -3527541\/312170. Find the common denominator of a and 89\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131 + 1 + 0 + (-2 - -4)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47281601.\nAnswer: 991, 47711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4, -2*h = 3*f - 7 + 2. Suppose -82 = -2*k - 2*t, 88 = 2*k + t + f*t. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 3*t + 6*t)*(t + t + t) + t**2 + 2*t**2 - t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -14. Suppose 6*w = w + b. What is the third derivative of 2*s**3 - s**3 - s**2 + 2*s**w + 0*s**2 wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -139, 10\/17, -4.9?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - j + 2 = -0*r, r - 22 = 5*j. Suppose -k - 2*k = 0, -5*v + 110 = -r*k. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 505 = 5*i, -5*g + 24611*i - 460 = 24615*i for g.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -89, -149, -223, -317, -437, -589?\n\"Answer: -f**3 + 2*f**2 - 51*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1907628?\nAnswer: 2, 3, 71, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 2*l**3 + 2*l**3)*(0 - 1 + 0)*(-14*l - 1 + 1).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {c: 7, h: 1, j: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 1154*c**3 + 21477*c**2 - 99788*c + 104420.\nAnswer: (c - 2)**2*(c + 23)*(c + 1135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1740.151 - -1741. Let f = k - 0.84895896. Round f to six dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a - 7*a - 11*a.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 417.03 - 420. Let i = 2.57 + n. Sort 0.1, i, -36 in decreasing order.\nAnswer: 0.1, i, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -89*t**2 - 101 + 3 + 45*t**2 + 41*t**2 + 18. Let h(w) = -w**2. What is h(k(l))?\nAnswer: -9*l**4 - 480*l**2 - 6400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.9 (c) 0.05 (d) 3.9 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35882 - -141609. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119599, -119609, -119619, -119629?\nAnswer: -119639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 46 + 92. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 216, 488, 860, 1326, 1880, 2516?\nAnswer: 3228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - u + 81 = 0, 2*l + 2*u - 106 = -2*l. Solve 12 = -4*y, -11 = -4*f - l*y + 29*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1088780718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvdbbfdudddbbddbdf. Give prob of picking 2 d and 1 v.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120832?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -299*z - 455. Let b be v(30). What is b rounded to the nearest 100?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = d. Suppose -5*f + d*f = 0. Suppose f = 5*h - 2*t - 23, -3*h + 4*t = -t - 29. Solve i + h = 2*n, -3*n + 7 + 1 = -5*i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37113 * 31\nAnswer: -1150503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 417798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7*x - 2*x - 16 = 0, 4*t = -4*x + 44. Solve 15 = 5*u + 5*c, -6*u = -2*u + 5*c - t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25206333 a multiple of 907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z\/(z*z\/z**(1\/2)*z)))\/((z*z*z*z\/z**(-2\/9))\/z*z*z)*(z\/((z\/(z**(-7)*z*z))\/z))\/z**(5\/3))\/((z**2)**(-36))**(3\/4) assuming z is positive.\nAnswer: z**(785\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.418693961 and -505736.\nAnswer: -505736.418693961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -68668, -68669, -68670, -68671, -68672, -68673?\n\"Answer: -j - 68667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -261, -292, -335, -390?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1317552*v. Let t(o) = 2*o**2. Calculate t(m(q)).\nAnswer: 3471886545408*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 848 + j + 638 + 84 - 1570.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:32 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 less than 40?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 - 1264*s + 199712 = 0. Calculate s.\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 10*u**2 + 10*u - 7. Let t be l(9). Let j(h) = 2*h + t - 3 + 0. Give j(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -2516.\nAnswer: 7\/2516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15790)\/50*(-146 + 41) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -922*f**5\/15 + 199*f**4\/24 - f**3\/2 + 7*f**2 - 93. Find the second derivative of l(i) wrt i.\nAnswer: -7376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*s - 45 = 0, -3*x + 7 = s - 18. List the prime factors of ((120\/x)\/6)\/(1\/106).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-8)*((-12)\/(-8))\/(1269\/1128)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 74*o**2 + 1. Let p be b(-1). Suppose -4*f - 3 = -r, -2*r = 2*r + 5*f - p. Suppose 119 = 3*y - 5*k + r, 5*y - 166 = k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13436 is divided by 78?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n**3 - 2*n**2 + 1. Let j be x(1). Suppose -42 = -z - s, -4*z - 2*s = -71 - 107. Suppose 0 = -j*d - 19 + z. Is 42\/11 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(2 - 6)*16. Let v = z + 99. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11480571 to the nearest integer?\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 = i, -3*i - 20*d = -16*d - 9. Solve 0 = -7*n + i*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s**2 - 823*s - 321. Calculate d(69).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 572 - 3433\/6. What is the second smallest value in 69, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 7*d**4\/24 - 2*d**3 + 19*d**2. Let x be m(2). Suppose 0 = 3*p + 3 - 9, 2 = 3*t - x*p. Solve t*h - 4 = -0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x + 7. Calculate d(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -968 - 2*a + 968.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22932 or 22933?\nAnswer: 22932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59783 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10708717.4 plus 632?\nAnswer: 10709349.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 5*w - 27 = -11*k, -4*k = 2*w - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -745*m + 2. Let f(i) = 2233*i - 6. Give 4*f(v) + 11*j(v).\nAnswer: 737*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28487803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w - 2, -61 = 5*t + 3*w. Suppose 175 = 3*h + 2*h. Let x = h + t. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from rrrvrrvvrv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = -4*d + 13, -9 = -d + 5*r. Suppose 5*z + d*y - 95 = 0, 4*y + 14 = 4*z - 26. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100108357, 100108357, 100108373, 100108411, 100108477?\nAnswer: 100108577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = g - 26. Suppose 5*i - g + 14 = 0. Solve -5*z - 4*w - 17 = -w, 0 = 3*z + i*w + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 23*k.\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 8:57 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -212223 (base 4) to base 15\nAnswer: -b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 4:56 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/(-6)*(-160)\/(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {n: 1, x: 2, k: 1, b: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -16*v**2 + 16. Let y(h) = -17*h**2 + 17. Let f(b) = -4*u(b) + 3*y(b). Find the first derivative of f(j) wrt j.\nAnswer: 26*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99949 is divided by 3996?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(218*r + 134 - 72*r - 70*r - 74*r).\nAnswer: 4*r + 268","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + -1 + -3 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3372 (base 11) to base 13\nAnswer: -2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 279? (a) 5 (b) -13\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 3\/(-21))\/((-18)\/(-63)). Suppose 5*a = -3*u - 21, 0*a = -3*a - 9. Is -3 + 868 - v*u\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5881 is divided by 1136.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*g - 350 - 220 = 222 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((4\/(-408))\/(92\/(-736))).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = n + 2*f + 3*f, -357 = -3*n - 3*f. What is the remainder when n is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*t = -58, -4*t = -4520*s + 4516*s - 56 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 9*i + 2. Let y(j) = -j**2 + 197*j - 6. Let f(u) = -3*s(u) - y(u). Factor f(m).\nAnswer: -2*m*(m + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 65 + 132 - 14*z**2 + 6*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/4 - 2807*t**2 + 101295*t - 912384 = 0 for t.\nAnswer: -11264, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = 3*i + 60, i - 7 + 13 = d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x - q = 2, -q = 5. Let w be (-1)\/(-4) + (-8)\/32. Solve x = g - w*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -4. Let q = -1866 - -1869. What is the lowest common multiple of q and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -25*f**3 + 3*f**2 - 3*f - 3. Let m(g) = 2*g**2 + 74*g - 415. Let y be m(-42). Let t(w) = 50*w**3 - 5*w**2 + 5*w + 5. What is y*r(s) + 3*t(s)?\nAnswer: 25*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 - -6.6. Are -30 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 8*f**3 - 9*f**3 + f**2 + 18*f**3 + 2*f in the form t*f**3 + w + a*f**2 + g*f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (37848\/(-30) + -9)*-5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 12:33 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssmmssmsmmms?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 12666.\nAnswer: 25332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 7*r - 4. Let h(l) = -3*l**2 + 13*l + 8. Let x = 61 - 58. Let j(a) = x*h(a) + 5*o(a). Factor j(q).\nAnswer: (q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 8 = 2*n. Let r be (-1)\/n*13*2. Suppose -5*s + 27 + r = 0. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2 - 651*q - 163 = 0.\nAnswer: -1\/4, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -14 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 4*i - 58414 = -58434, 4*x = -323*i + 1615 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/13 + 4046*m**3\/13 + 323272*m**2\/13 + 2392480*m\/13 + 4656000\/13 = 0.\nAnswer: -1940, -75, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -6\/275?\nAnswer: -6\/275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2fda (base 16) to base 6\nAnswer: 132414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -501 + 481 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002509286 rounded to six decimal places?\nAnswer: -0.000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.71274g?\nAnswer: 0.00971274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -7. Let i = s - 22. Which is the closest to -1? (a) i (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**6\/2160 + 7*t**5\/720 + 5*t**4\/72 - t**3\/3 - 19*t**2\/2 + 303*t. Let h(i) be the second derivative of a(i). Factor h(y).\nAnswer: (y + 2)*(y + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-16) - (-6)\/(-24). Let b be 28\/6 + 1\/3. Suppose 2*l - 4*i + 32 - 8 = m, -b*l - 15 = -i. Which is bigger: l or -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1199249 - 319.1344249. Let c = -319 - i. Round c to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.3 (c) -5 (d) 2.5705 (e) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkepeekekke. Give prob of picking 2 e and 1 k.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -441, -436, -431, -426, -421, -416?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7002927 divided by 46377?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 77 - 8*u**3 + 2*u**3 + 9*u**3 + 79 in the form s*u**2 + v*u + p + w*u**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*m**2 - 19*m**2 + 11*m**2 + (122*m - 107*m - 100*m)*(-4*m + 4*m - m) + (-2*m - 4*m + 4*m)*(-m - 5 + 5).\nAnswer: 97*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/32 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 40*n - 42*n + 2045 - 2045. Let x(p) = 183*p**2 + 3*p. What is x(v(d))?\nAnswer: 732*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -36*h**3 + 6798*h**2 + 1136*h - 381. Give x(189).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**2. Let k(d) be the second derivative of -17 + 2*d + 0*d**2 + 4\/3*d**3. Give z(k(l)).\nAnswer: -320*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-3 + 3 + 4)*(o**5 - o**5 - 2*o**5).\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11542*u*v + 5*u - 65346*v - 9 wrt u.\nAnswer: -11542*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-806)*(-9 + 8)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216125 (base 8) in base 3?\nAnswer: -10200211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4 + 242*j**3 + 6420*j**2 - 54784*j + 81920 = 0.\nAnswer: -64, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)*h)\/(h**(-1\/25)*h) assuming h is positive.\nAnswer: h**(-71\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - -14*(-6)\/12. Find the common denominator of 2678\/(-520) + ((-1)\/(-1) - a) and 67\/58.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13616357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4075 - -4034. Suppose 3*v - 3*a - 654 = -a, 0 = -v + 4*a + 228. Let g = p + v. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 0.03. Let b be (6\/2)\/15*(-8)\/(-12). What is the closest to o in -1.1, b, 1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679646827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - (-13 - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 197*a**3 + 22 - 101*a**3 - 94*a**3 + (0 - 1 + 0)*(40 + a**3 - 40).\nAnswer: a**3 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5185, 18586, 40915, 72172, 112357?\n\"Answer: 4464*x**2 + 9*x + 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - t**2 - 2*t. What is z(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/(-21)*-5*-1*42\/35?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, -2, -7 in decreasing order.\nAnswer: -1, -2, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 4*m = -5*o - 3*m + 9*m + 41, -5*o + 134*m - 3767 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25038702 (base 9) to base 2\nAnswer: 101110101110100010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u - 6*u)*(2 + 4 + 1)*(-u - u + 5*u)*(5 + 2 - 6).\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 47020\/(-14) - (-3 - -1). Let b = 3363 + u. What is the common denominator of 8 + ((-16371)\/54)\/17 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 16\/(-6))*24. Suppose 2*t + 4*s = -22 - 2, -2 = 2*s. Is (t - 2)\/(u\/40) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040802 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 446.0603 litres?\nAnswer: 446060.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**3\/3 + 9*c**2\/2 - 7*c - 94. Determine p(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 - (-70)\/15. Let f be -2*(-2)\/(-8)*6\/(-1). Is v < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3 - 0. Suppose -3*s + 6 - 3 = 0, 4*w - 4*s = 140. Suppose 3*p - w + r = 0. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/66455 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**4\/12 - 251*k. Let a(r) = 240*r + 7. What is a(q(p))?\nAnswer: -240*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/16*(-20)\/15\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, p: 6}. What is prob of sequence pww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 46 - 80*i + 71*i + 115 - 58 + 54. Calculate g(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 37\/5 - (-8)\/(-20). Let y(c) = 6*c + c**3 - 3 + c**2 + 0*c - h*c**2 + c. Let d(p) = -p**3 + 6*p**2 + 8*p - 2. Let a be d(7). What is y(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 726000 = -2*g. Round g to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.189.\nAnswer: -0.0756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 814 and 17908.\nAnswer: 17908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2\/8*21\/42?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24285 in 0.1, 0, -2\/5, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -532 + 532. What is the nearest to q in -2, 2\/9, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -2639?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 99787, -2 in decreasing order.\nAnswer: 99787, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 1, o: 8, m: 2, t: 2}. What is prob of picking 1 o and 1 t?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 1)*(27 + 46 - 24) + 1 + 1 - 1)*(-2*l - 2*l + 2*l).\nAnswer: 292*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 368*q - 33*q - 1038*q to a + j*q and give j.\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9248 = -2*a, 0*a = -2*a + 4*y + 9266. Suppose -3*s - 3*i = -a, s - 4629 = -2*s + 3*i. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/10 - -1) + (-11)\/(-55). Let d(k) = 13 - m*k + 15 + 5*k. Let l(p) = -2. Calculate -2*d(y) - 28*l(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17522 is divided by 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnl when three letters picked without replacement from {n: 12, l: 7}?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:01 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {u: 2, j: 6, p: 7}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = z - 4*h - 40, 92 = 4*z + 5*h. Suppose -26*n = -z*n. Solve s - 2*s = n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -246*c - 4. Let q(g) = -g - 1. Let u(j) = -2*q(j) - w(j). Let t be u(1). Let y = t - 143. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 15*w - 14. Let o be p(-5). Calculate the highest common divisor of 24 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 5*s + 7. Let m be w(-6). Suppose 3*j - m = 2. What is the units digit of 1\/(-3)*(-62 - j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/86 and 59\/262940.\nAnswer: 11306420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3\/3 + 38*k**2 - 112*k\/3 = 0.\nAnswer: 0, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (36 - (-45 - -123)) + 32\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 9:33 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3127 is divided by 194?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okkkokkkkkkkok. Give prob of picking 4 k.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5693959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1581784803 is divided by 1241?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 14.5. Put g, 10, -3 in decreasing order.\nAnswer: 10, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -5, 0.4, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161 or 3358\/21?\nAnswer: 3358\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 2*w + 38, -3*w - 22 - 26 = -5*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 239923\/3 - 79957. Suppose 4\/3*o**3 - 32\/3*o**2 - 8 + h*o = 0. What is o?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 18 + 3*b**2 + 3*b - 6*b - 18. Let y(a) = -4*a**2 + 4*a. Let l be 21\/6 - 6\/4. Let i(k) = 2*k**2 - k - 1. Let t be i(l). Calculate t*y(m) + 7*v(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 9:02 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38048 and 6803168?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**4 + q**2 - 2*q - 5*q**4 + 473*q**3 + 5*q**4 + 5*q - 7*q**4 to k + s*q**4 + a*q + c*q**3 + b*q**2 and give c.\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*199.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/39? (a) 1.6 (b) -4\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3121740.2783 - -696.7217. Let m = z - 3122533.99961. Let g = 97 + m. What is g rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from flfjfjjffffffjfflfj?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21942 + 21922. Let b(t) = -12*t**2 + 10*t - 10. Let d(g) = 4*g**2 - 3*g + 3. Give k*d(s) - 6*b(s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-2*o + 4*o - 3*o)*(-o**2 - 15*o**2 - 5*o**2).\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 5:21 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 684594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 404, 406, 418, 446, 496, 574, 686?\n\"Answer: t**3 - t**2 - 2*t + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11998 + 1139859\/95. Let h = 367899\/10 + -36778. Calculate the common denominator of h and k.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, -0.4, 1\/5, -8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-8) + 412*(-9)\/(-48). Let i = r + -65. Calculate the highest common factor of 117 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (46\/(-24) - 1))\/(13 - (-1166)\/(-88))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 9. Let m be z(6). Suppose 2*t - 6 = -2*r + m*t, 4*r - 36 = -4*t. Let v(x) = x**3 - 5*x**2 + x - 3. Give v(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*w = -394 + 36, 3*l - w = 525. Calculate the remainder when (-3)\/1*(l\/(-12) + 2) is divided by 351\/9*1\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24261, 48492, 72723?\nAnswer: 96954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*o**4 - 7*o**4 - 4*o**5 - 24*o**3 + 42 + 10*o**4 + 58*o**2 - 8*o**4 + 5*o**5 + 103*o = 0. Calculate o.\nAnswer: -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*-1*sqrt(17))**2.\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -64773.01 - 4\nAnswer: -64777.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*j + 71 + 49. Let h be (-2)\/3 - 20\/(-48). Put h, -9, j in decreasing order.\nAnswer: h, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 less than -10591431677869?\nAnswer: -10591431677868.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002112 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60563 is divided by 10092.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzr when three letters picked without replacement from zzvrrrrzzvzzzzzv.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2 - 2*b**2 + 2*b**2 - 3*b**2 + 135*b**3 + 15 - b**2 wrt b?\nAnswer: 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*s**2 - 7*s**2 + 3*s**2)*(4*s - 5*s - s + 1 + 2*s - 1 + (2 + 0 - 3)*(s - 4*s + s) - s + 0*s + 2*s) as p*s**3 + o + l*s**2 + j*s and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140588 or -140589?\nAnswer: -140589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-19)\/j*j**(31\/3)\/j*j)\/(j\/(j\/(j*j**(-13))*j)*j*j\/(j*j*(j\/j**(-26\/7))\/j)))**(2\/49) assuming j is positive.\nAnswer: j**(296\/1029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - q + 27, -3*l + 9 = -q + 4*q. Suppose l*h + 9 = 33. Let z(r) = -2*r**2 + 2*r - 2. Calculate z(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-3 + -2)) + (170 - 161) + -105.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/24*8\/230. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpxx when four letters picked without replacement from {v: 2, p: 1, x: 2, q: 4}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/7, -2\/19, 2\/9, 96?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 310477\/13 - 4\/(-26). Let o = k + 33312. Suppose -4*t + 5*d = -o, -5*d - 22541 + 94046 = 5*t. Round t to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3 and -31\/37?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49000.276 - 964292.\nAnswer: -1013292.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pttwxwrrrttretp. Give prob of picking 1 p and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 1. Let x(c) = -1. Let z(i) = -k(i) + 3*x(i). Let o be -3 + 1 + 0 + -4. What is the remainder when 7 is divided by z(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 102\/21 - (-2)\/14. Suppose 5*m - d = 140, -4*m + 46 + 37 = v*d. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 23 = 5*o, -o + 4*a - 8*a = -16. Let c = 321 - 321.1. What is the second biggest value in c, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 3*q**2 + 1\/20*q**6 + 0 + 0*q + 1\/24*q**4 + 0*q**5 - 16\/3*q**3. Find the first derivative of a(u) wrt u.\nAnswer: 18*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967361103 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2774 and 318718.\nAnswer: 6055642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - (3\/14 + ((-1109590)\/13804)\/61)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -88*f**5 - 1348*f**4 + 15888*f**3 - 15832*f**2 - 84280*f - 51300 = 0.\nAnswer: -513\/22, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 - 860*r**2\/9 + 5808*r.\nAnswer: -2*r*(r - 54)*(r + 484)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 w when three letters picked without replacement from ppcpppwzpcpcwwpppzp.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -1. Let y = m + 8. Solve -y*n - j - 13 = 2*j, 4*n + 8 = -3*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 167, 0.4, 3, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(4*(-4)\/32)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**3 - 2*w**2 + 3*w + 2. Let d be b(-2). Suppose -5*h - 35 = -5*j, 6*j - 2*j + 5*h = 1. What is the greatest common divisor of d and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -14, -16, -10, 10, 50, 116?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 4*q + (0 - 5 + 3)*(1 - 1 - 2*q) - 5*q + 3*q + 4*q + 1862 - 1862 - 26*q in the form o*q + b and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -7. Suppose -2 = 2*f + k*v, 0 = -4*f - f + 4*v + 22. Solve -3*a - f - 10 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Let r(t) = t**2 + t - 1. Let k(y) = -17*y**5 - 7*y**2 - 2*y + 2. Let q(o) = v*k(o) + 2*r(o). What is the third derivative of q(g) wrt g?\nAnswer: -1020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13207 times 839\nAnswer: -11080673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 38*v + 365. Let y be k(20). Which is the closest to 13? (a) -0.1 (b) 3 (c) 1\/3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (13 - (-8 - -16)) - 8 - (26 + -2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvyyyvv. Give prob of picking 1 v and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/70)\/((-3)\/(-42)). Solve -3*t - t = j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440844 = -4*t + 2*y + 721392, 1452801 = 5*t - 4*y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -4 (b) 0 (c) -0.004\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -31. Let o = d - -16. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 12*s - 9. Let z(c) = -11*c**2 - c - 1. Let x be z(-1). Let l be f(x). Solve -l*j = h - 3 - 0, 0 = -4*j + 4*h + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpe when three letters picked without replacement from epkqqpqepppeqpu.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeewew. What is prob of picking 2 e?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82202.91 months to millennia.\nAnswer: 6.8502425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/9 + 88*a**3\/9 + 2954*a**2\/3 + 50132*a\/9 + 41360\/9 = 0. Calculate a.\nAnswer: -44, -5, -1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuul. What is prob of sequence fuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 2033 = -1007. Let d = -147 + f. Solve -d*z + 3 - 28 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = -2*z, 3 = -3*z - 9. Let o(s) = s - 4. Let r be o(x). What is the remainder when 9 is divided by 33\/7 - r\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z**2 + 13*z - 48. What is a(3)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*z - 43, -15 = -y - z + 19. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14214 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513*y - 505*y = 2456. Calculate the remainder when y is divided by 158.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyayaaa. Give prob of sequence yyya.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/16 and 5\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 1:01 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*i**4 - 15*i**4 - 28*i**4 - 3*i**4 + 3*i**4 + i**4 + (-1 + i**2 + 1)*(0*i**2 + 2*i**2 - 4*i**2) + i**4 - i**4 - 2*i**4.\nAnswer: -103*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m**(17\/4)*m)*m)*m)\/m**(-2\/79) assuming m is positive.\nAnswer: m**(1351\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/11)*r)**7)**(-3\/22)\/(r**(-2\/7)\/r*r**(-4)*r*r**(-1\/8)*r*r\/r**(-2\/3)) assuming r is positive.\nAnswer: r**(-6883\/20328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -82. Suppose -25*r + 9 = -b*r. Find the first derivative of -24*w**r + 24 - 786*w + 786*w wrt w.\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200*o - 7*o + 84*o)*(-3 - 2 + 6)*(o - o - o**2).\nAnswer: 123*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 41*b**2. Let u(c) = 2*c - 4. Let i(q) = -q**2 - 3*q + 6. Let p(k) = -2*i(k) - 3*u(k). Calculate g(p(s)).\nAnswer: 164*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 157\/(1884\/(-2208))*(1\/(-20))\/(4\/10)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (0 - 1)) + 3. Suppose -r*h**2 + 3*h + 4*h**2 - h**2 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 0.4, -3.52, 2\/133, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from cteqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 smaller than 696967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyegyygggggy. What is prob of sequence egy?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (230 + 1)*((-4)\/2 - -3). What is the greatest common divisor of 33 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**2*t**5 + 6*b**2*t**4 + 17*b**2 - 3*b*t**2 + 5*b*t - t wrt t.\nAnswer: 300*b**2*t**2 + 144*b**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/6 + 164*n**4\/3 + 325*n**3\/2 = 0. Calculate n.\nAnswer: -325, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 24135*w. Let u(v) = v**2. What is u(t(i))?\nAnswer: 582498225*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j + 262 = -2*y, -4*j + 517 = 3*y. Suppose 2*z = z + j. Round z to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rllrr. What is prob of sequence rllr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**8\/504 - g**7\/63 - 2*g**6\/45 - 2*g**5\/45 + 7*g**2. Factor k(f).\nAnswer: -2*f**2*(f + 1)*(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33313 - 0?\nAnswer: -33313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyoyyy. Give prob of picking 1 y and 2 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1 - 0) + 4 - -229) + 3.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865.6373kg to milligrams.\nAnswer: 865637300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(15\/8))**(-22))**(5\/9) assuming o is positive.\nAnswer: o**(385\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(0 + 3 - 1) - 88 - 109 + 12)*(6*p - 3*p - p).\nAnswer: -378*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (0 + (2 - -1)). What is the tens digit of (b - 0)\/((-6)\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/9 - (-47)\/9. Suppose 5*o = 3*b + 15, -5*o + 9 = -b - 6. Suppose d - 1 = 1. Solve j*n + 3 = -b*m + m, -d*m + n = -6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18829786 - 20039\nAnswer: 18809747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*x + 2*x - 24749, 5*x + 24699 = 4*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -17*l - 3. Calculate x(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from xxgggxeohxwggxgo.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9138?\nAnswer: 2, 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2754.430154 - -0.02466\nAnswer: -2754.405494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**3 - p**2 + p. Let c(y) = 16125*y**3 + 3*y**2 - 3*y. What is -3*b(o) - c(o)?\nAnswer: -16143*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27371 and 2?\nAnswer: 54742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2220457\/6 - -367212. Let c = -2856 - f. Calculate the common denominator of c and 940\/(-75) - (3 - 30\/9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mimommoioomoomm. What is prob of picking 2 m and 2 i?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjckfffcfj. Give prob of sequence cjk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**3*v**4 + 1129*i**3*v**2 + 66*i**3*v - 226*v wrt v?\nAnswer: 60*i**3*v**2 + 2258*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -389.6 + 197.7. What is r rounded to 0 dps?\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -7*q**4\/24 + 217*q**3\/6 - 113*q**2. What is the hundreds digit of j(-42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 54*l**3 + 177*l**2 + 126*l.\nAnswer: 3*l*(l + 1)*(l + 3)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 13*l + 49. Determine w(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Suppose 2*f = -d*f - 4*x + 3, -f + 9 = -2*x. Suppose 0 + 10*k + 1 - 8*k**2 - f = 0. What is k?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8*b**(3\/23))**(-2\/133))**7 assuming b is positive.\nAnswer: b**(-374\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 5*d. Suppose 0 = -3*m - 15, -3*t + d*t + 25 = -2*m. Is (-2 + t)\/((-1)\/(-7)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/256)\/(30\/8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1497443 divided by -14\nAnswer: -1497443\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 - 2*z**2)*(0 - 5 + 4) - 32*z - 17*z**2 + 32*z)*(-5 - 3 + 5)*(1 + 0 + 0)*(-2*z + 5*z - 2*z) to y*z**2 + d*z**3 + n + q*z and give d.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from iqfhq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004817786858 rounded to 6 dps?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/9 + 12*t**2 - 208*t\/9.\nAnswer: -2*t*(t - 52)*(t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**5\/20 + l**3\/6 - l**2\/2 - 5*l. Determine k(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**8\/480 + x**5\/10 - 7*x**4\/12 - 3*x**2. Let n(s) be the second derivative of f(s). Differentiate n(w) with respect to w.\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27779 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**8\/168 + 34*g**7\/105 - g**5\/20 - 5*g**3 - 121*g**2. Find the third derivative of z(b) wrt b.\nAnswer: -120*b**2 + 1632*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(3*y + 0*y - 2*y) - 17479 + 8738 + 8741 + 5957*y.\nAnswer: 5955*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -3 - (-1 - -10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 - 186*o + 1427. Let t be d(-69). Let a(b) = b**2 + b - 1. Let i(w) = 0 + 10 - 11*w - 12*w**2 + 2. Calculate t*a(q) - 2*i(q).\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-14)*6\/120?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**3 + 6*g**2 + 9*g - 3. Let s(m) = 6*m**3 + 6*m**2 + 9*m - 4. Give -4*j(i) + 3*s(i).\nAnswer: -2*i**3 - 6*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2280063.872 to the nearest ten thousand.\nAnswer: 2280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2310*x**3 + 2*x**2 + 9*x - 256 wrt x?\nAnswer: 13860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 2 - 3*k + 0*k**2 + 1\/18*k**4 + 0*k**3 - 1\/30*k**5. Let r(j) be the first derivative of p(j). Factor r(q).\nAnswer: -2*q**2*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 10*t - 280 + 17*t - 26*t.\nAnswer: t - 360","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 231 + -190. Let t = -40.999931 + o. Round t to 6 dps.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -23.8067.\nAnswer: -18.8067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1411332 (base 5) to base 4\nAnswer: -13010213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14332 (base 6) in base 5?\nAnswer: 33123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -7, -14, -21, -28, -35?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 11899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -0.5 (b) 2\/13 (c) 28.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**6\/120 + o**5\/6 - 11*o**4\/24 + 57*o**2. Let l be w(-11). Is l greater than -1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 - 100304*p\/7 + 300894\/7.\nAnswer: 2*(p - 50149)*(p - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {s: 1, d: 3, q: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = 2*c. Suppose -c*b + 3*b + 1 = 0. Let h be -1 + (-8)\/5 - -1. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/(-660)*(-2)\/7*46\/161.\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + p - 5)*(1 + p - 1)*(-13 + 26 + 16).\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 38\/(-39))\/(76\/(-228)). What is the nearest to 0 in o, 7, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13884 and 39?\nAnswer: 13884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10184 + 10706. What is the remainder when g is divided by 132?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - 2*m**3 + m**3)*(-m**2 + 3*m - 3*m) + 16*m**5 - 10*m**5 - 11*m**5 - 25*m**4 - 21*m**5 + 25*m**4.\nAnswer: -25*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 20. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(91) - (sqrt(91) + sqrt(91)*-2))*-2 - sqrt(91))\/(sqrt(77)\/(sqrt(44)\/sqrt(4))).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - (sqrt(120)\/sqrt(3))\/sqrt(4) - 2*sqrt(810))\/(-2*(-2*sqrt(162) - sqrt(162))))**2*1*5.\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 531?\nAnswer: -6903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 4, -5, 2 in descending order.\nAnswer: 33, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(171) + 2)*-5.\nAnswer: 20 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-12) + 21\/12 + 0. Which is the fourth biggest value? (a) 1\/2 (b) o (c) -1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8276.6 rounded to the nearest ten?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 123*w - 62*w - 58*w + 2 - w**2 + 6*w**4 in the form f*w + q*w**4 + n*w**2 + l + a*w**3 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3157, 6313, 9469, 12625, 15781, 18937?\nAnswer: 22093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -243\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**2\/3 - 1660*x + 4976\/3 = 0.\nAnswer: 1, 1244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide -2325*(115\/(-15) + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155*h**3*k**4 - 247*h**3 - h**2*k + h*k**5 + 3*k wrt k?\nAnswer: -1860*h**3*k**2 + 20*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212052 (base 6) to base 8.\nAnswer: -330040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*2*4 + sqrt(110) - sqrt(110) - sqrt(110)*1*-5)\/(-6*-3*sqrt(80)\/sqrt(2)).\nAnswer: 13*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.07 (b) -5\/6 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 34 + (12 - (40 - 9)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 34367280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a century in months?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 + 18*j**2 + 148*j\/3 + 32.\nAnswer: 2*(j + 1)*(j + 2)*(j + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s + 3. Let v be r(0). Let p be ((-26)\/(-13))\/(2\/3). Solve v*y - 11 = 4*n - 2*n, 0 = y + p*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -250b55 + d?\nAnswer: -250b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + f - 1. Let y be r(1). Let m be (2 - 2)\/(2 + 0 + -23 + 17). Solve -x - y = -m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111355 (base 13) to base 15\nAnswer: -7e46d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39731*d + 39712*d - 79443*d - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 67 (b) 11 (c) 0.8393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -716, -1746, -3188, -5042, -7308, -9986?\nAnswer: -13076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2. Let k(j) = -1. Let n(w) = -3*k(w) - o(w). Let i(d) = -d + 11. Let f(v) = i(v) - 6*n(v). Determine f(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 21 - 21 - 15*t. Let r(q) = -20*q - 6. Let l(k) = 6*k + 2. Let g(m) = -3*l(m) - r(m). Give z(g(f)).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 207178 >= 828711\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3681*p + 59233 - 59233 in the form m + o*p and give o.\nAnswer: 3681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-308)\/(-3696)*((-3)\/(-30))\/(4\/(-30)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/14 - -6) + 26\/(-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.0452 to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -101553302 (base 6) to base 15\nAnswer: -250245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140482177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - ((-8 + -2)\/(-5) + -1). Solve -v*q = -5*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/((x*x*x**(-7)\/x)\/x))\/x))\/x*x**(-2\/15)*(x*x**7)\/(x*x**(1\/7)) assuming x is positive.\nAnswer: x**(-29\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*q - 15, 7 - 27 = 5*q. Let f be 2\/8 - 17\/4. Let l be -2 + (-1 - f) - -1. Which is the biggest value? (a) -4 (b) l (c) j (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v - 1. Let n = 8 - 5. Suppose -29 = -n*x - 4*b - b, -4*x + 4 = -2*b. Suppose 8 = -x*l + 2. Give p(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 17*w - 48. Let u be z(3). What is the hundreds digit of (-3)\/(u\/1022)*(-4)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0 (b) -5 (c) -4\/2275\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -7 - (-12 - (-19 - 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1458666845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -156*449\/1347*(2\/7)\/(-2)\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 86. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 11*a - 7. Suppose -4*w + 5*w - 51 = 3*b, -2*w = 5*b + 96. Let v = b + 11. What is the units digit of j(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-5)\/(-10))\/(((-27)\/(-768))\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, g: 1, k: 4, d: 3, a: 3, q: 2}. Give prob of sequence amqk.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.42 and 18.\nAnswer: 18.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*v**2 - 16*v**2 + 155*v**2 to p*v + c*v**2 + m and give c.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 311*q**7\/210 - 17*q**6\/120 - 1535*q**5\/12 + 15*q**2 + 4*q + 7. What is the third derivative of v(h) wrt h?\nAnswer: 7464*h - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -825 divided by -15.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105824, -211648, -317472?\nAnswer: -423296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 487 + 1977 = 0. Let r = -1132\/5 + c. What is the second smallest value in 3, r, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4309 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 25\/4, -203\/8, 3, -73, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1 - 4*r - 4*r + r + 30*r**2 - 22*r**2 - r**3. Let b be o(7). Let x be b\/((-3)\/6)*(-5)\/10. Solve 3*f = -i - 6, 0 = -4*f + 5*i - x + 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -313 divided by 5.\nAnswer: -313\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 650114565 to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**9*z*(z\/z**(-2\/9))\/z*z*z)\/(z**(7\/5)\/z**(-1\/8)) assuming z is positive.\nAnswer: z**(-2269\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*y - 10*y = -2*b - 132, 139*b + 10 = -5*y + 134*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -0.6, -0.4, -206?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480414 and 9036.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -93*i**5\/10 - i**4\/6 - 17*i**2 + 40*i - 1. What is the first derivative of f(z) wrt z?\nAnswer: -558*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 is divided by 74.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 8*x**2 - x - 2. Let s be y(-8). Suppose 5*v = 5*k + 5, 3*v + 2*k = v + s. Let h be v\/(-7) + ((-57)\/21 - -3). Solve h*t = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 2, 64 in ascending order.\nAnswer: -5, 1, 2, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 9*c + 10. Let o(v) = -v**2 - 10*v - 11. Let p(r) = 3*o(r) + 4*z(r). Determine p(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 0) + 32 + -24 + 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.042, 0.3, 80\/6461 in ascending order.\nAnswer: -0.042, 80\/6461, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*t - 3*t - t)*(0 + 0 + t) - 2*t**2 - t**2 + t**2)*(6*t**2 + 0*t**2 + 2*t**2) + 26*t**2 + 17*t**4 - 26*t**2.\nAnswer: -47*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) - (5 + (sqrt(242)*1 - sqrt(242)) + sqrt(242))))**2 - sqrt(242)) + 4.\nAnswer: 99*sqrt(2) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5457065 - 1?\nAnswer: -5457066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 23*d**2 + 24*d - 4. Let z be h(24). Let m = z - -38. Let u be (-51)\/((-2 - -4)\/(-2)). Calculate the greatest common divisor of u and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*o**2 + 518 - 13*o**3 - 6*o**2 + 8*o**2 + 303 wrt o?\nAnswer: -39*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000138739449 to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7167316 or -7167320?\nAnswer: -7167316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + -ccd04c?\nAnswer: -ccd03e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8216611 and 1183.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 5339.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z - 69 = 0. Let c(d) = -d**3 + 20*d**2 - d + 29. What is the smallest common multiple of c(20) and z?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 4, z: 2, g: 1, i: 2}. Give prob of sequence zq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 + 2.4. Let j = 0 - 0.7. Let s = 0.3 - j. What is the biggest value in x, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(6)*2 - (sqrt(36)\/sqrt(2))\/sqrt(3)))\/(1*((sqrt(20)*-1)\/sqrt(10) + (sqrt(8) - (sqrt(8) + sqrt(24)\/sqrt(3)))\/sqrt(4))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11665514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*k - 26. Solve -2*m + k = 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*u**2 - 3 + 9*u**3 - 8*u**3 - 2*u**3 + 10*u**3 to g + m*u**2 + t*u**3 + l*u and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025995459 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 463157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 + 14. What is the remainder when 179 is divided by y(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i + 2*i)*(129 + 13*i - 129)*(-3 + 1 + 13).\nAnswer: 858*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/(5\/390). Let x = r + -85. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121263239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4724, -24875, -75950, -173411, -332720, -569339?\n\"Answer: -2577*d**3 - 2112*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + 0)*4 + (5 + sqrt(539) + 1 - sqrt(539)))*4 + ((0 + sqrt(275))**2 + (sqrt(11) + sqrt(44)\/sqrt(4) + 1)**2)*6.\nAnswer: 136*sqrt(11) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2673) - sqrt(99)\/(sqrt(12)\/sqrt(4)))\/((sqrt(297)\/sqrt(275))\/sqrt(9)).\nAnswer: -50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -305.54 and 39.\nAnswer: -11916.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.688 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8748)\/2673*2090\/(-4332)\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2. Let g(s) = -29*s**3 - 7*s**2 - 1. Calculate -g(u) - 6*j(u).\nAnswer: 29*u**3 + u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -842 times -209?\nAnswer: 175978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38\/(-95) + 4\/10. Let d be (1 + 0 + m)\/(2\/(-70)). What is the remainder when 46 is divided by (-415)\/d - (-1)\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {c: 9, u: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w**2 + 10*w**2 + 12*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8161, -16312, -24465, -32620, -40777, -48936, -57097?\nAnswer: -65260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 21792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 - 117 = -8*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence reer when four letters picked without replacement from vejrjvbjrerbbrevj?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13252 + -23?\nAnswer: -13275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474 = -96*b + 1242 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -28 (b) 3\/7 (c) -1552 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 252198800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46247*x**2 - 52365*x**2 + 98615*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = -2*a. Let w = 1 - a. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005694 to six dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 w, and 2 s when four letters picked without replacement from wskwkiirslsiskskwirs?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 199, 250, 331, 448?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -11 (c) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3735756628 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 17299.\nAnswer: 17299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20694 and 1513338.665.\nAnswer: 1534032.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - -7 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**3*z**3 + 579*p**3 - 3*p**2 - 2*p*z**3 - 3065*p*z wrt p.\nAnswer: 18*p*z**3 + 3474*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 7 = 3*g. Solve 2*x - g = -6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*m = -7*p - 23, -5*p - 4*m - 29 = 0. Let i(o) = -2*o - 1. Let c = 1 - -1. Let f be i(c). Is p greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 588*o - 581*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*w + 7 = 0, -5*k + 5*w - 11 = 2*w. Is (-3 - k)*(3 + 1166) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3\/4, -4.3, 1\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111100220 (base 4) in base 9?\nAnswer: 582036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1594 + -89. Suppose 4*g - z = 191. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 7:01 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46761253?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 1830.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**4 + 227123*i**2 + 10985560*i.\nAnswer: -36*i**2 + 454246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a + 1. Let h = 67 - 60. Let k be r(h). Calculate the greatest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57116965811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*w + 6*w. Solve -r = -0 + w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 11:04 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:38 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -1, 55, 4, -3 in descending order.\nAnswer: 55, 4, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 6*v + 43 = 0. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1010000001011110100100?\nAnswer: -1010000001011110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*u + 15 = 0, 76*m - 71*m - 2*u - 15 = 0. Solve 52*n + m = 55*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28927.\nAnswer: 28927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -19*s**2. Let q(v) be the third derivative of v**5\/60 - 57*v**2. Calculate n(q(k)).\nAnswer: -19*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.23 (b) 3 (c) -14270.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -261*d**3*u**3 + 18*d**3*u**2 - 3*d**3 + 14*d**2*u wrt u.\nAnswer: -1566*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viggiiddvgvaivcgcdcg. What is prob of sequence ca?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + -0.38. Let p = 1455 - 1455.5. Sort 0.1, f, p in descending order.\nAnswer: 0.1, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -229\/4. Let p = 0.1 + 0. What is the closest to p in 0, 5, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 - 2947 = -7*q. Suppose k + 0*k - 5*r = 83, -q = -5*k + 2*r. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 6837*a**2 + 219696*a - 769328.\nAnswer: -(a - 28)*(a - 4)*(a + 6869)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 18 = -2*c + 131, p - c - 27 = 0. Suppose 0 = -3*x - 12, -y = y + x - 26. What is the remainder when p is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 573012477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 789.8436 nanograms in milligrams?\nAnswer: 0.0007898436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 54*y**2 + 27*y - 726. Let g be q(27). Solve k - 7 = -g*c + 5, -2*c = -3*k + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -160 + 157.81. Let f = 1.19 + n. Put -0.4, -2, -7, f in ascending order.\nAnswer: -7, -2, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4537.\nAnswer: 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + p + 2. Let f(q) = -253*q**2 - q - 2. What is f(z) + h(z)?\nAnswer: -252*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-4) - (-7)\/56*-16.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/71)*(g*g**31)\/g assuming g is positive.\nAnswer: g**(2199\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:32 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101422 times -464?\nAnswer: -47059808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2746 - 1373 + 12*u - 1388. Determine c(-5).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7 = -7. Suppose -4 = d - t. Let r(f) = -f + 7. Calculate r(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -9. Suppose 6 + l = 3*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/5 - 46*n**2\/5 - 86*n\/5 - 42\/5 = 0 for n.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 7140.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 11:26 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 25*u**2 + 25*u - 25. Let i be o(-26). Which is smaller: -2\/7 or i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*h**2 - 25*h**2 + 2*h**3 - 41*h**2 - 28*h**2 as v*h + i*h**3 + b + z*h**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + 0 + 1.\nAnswer: 1 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6657 (base 8) in base 10?\nAnswer: -3503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-50)*(11\/2)\/(-11)*(-200)\/(-12)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 202346445 + 11?\nAnswer: 202346456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12757, 12763, 12771, 12781, 12793, 12807?\nAnswer: 12823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 11:02 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v + 1. Suppose 4*j = -5*r + 15, 0 = -r - 3*r + 2*j + 12. Let z be n(r). Does 12 divide (-2 - z) + 4 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -0.017438368.\nAnswer: 0.191822048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 9 (b) 6 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -39. Calculate the least common multiple of b and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13282?\nAnswer: 2, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*s - 21277680. Suppose 21805539 = -3*a + s. Let h be 1\/(-3) - a\/3. What is h rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.2, -2\/159, -3, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**3 - 14*u**3 - 168*u + 178*u**3 - 16*u**3 - 122*u**3 - 16*u**3.\nAnswer: -5*u**3 - 168*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4171019, 4171018, 4171017, 4171016, 4171015, 4171014?\n\"Answer: -r + 4171020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 3:26 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-221 - -151 - -44) + 0 + 5 + -1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3*s - 3*m + 137 + 38, 0 = 3*s - 29*m + 173 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4997 + -4996.9999980135. What is p rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1311 and 1305243?\nAnswer: 30020589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3917537 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145.959 + -0.041. Let z = 159.6 + u. Let o = z - 8.6. What is the nearest to -1 in o, 1\/5, 2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6 + -81)*(-2)\/(-31 + 3) and 19\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1250 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 + 135. Let l = 45 - r. Let z = l - -8.99999984. Round z to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 11*g - 10. Suppose -52*t - 468 = -61*t. Suppose -48*l + 51*l = c + 19, 4*c = 4*l - t. Determine z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 120 = -8*z. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 8619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 6*h**4 + 27 - 15 - h**3 - 8*h + 2*h to the form w*h**3 + g*h**2 + j*h**4 + a + d*h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1510 (base 10) to base 9.\nAnswer: -2057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6429, -7918, -9407, -10896, -12385?\nAnswer: -13874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 18*a**2 - 19*a + 13. Let z be g(19). Let p(k) = k**2 - 2*k + 4. Let b be p(7). Calculate the greatest common factor of z and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 + -15874843.52?\nAnswer: -15874502.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -292*d + 83809. What is z(287)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-52)\/12)\/((-2)\/(-18)). Let h = -2 - d. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -22\/9, 1.1, 0.08, -0.01 in decreasing order.\nAnswer: 5, 1.1, 0.08, -0.01, -2, -22\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 4*n + 6. Let z be (-17)\/3 - (-1)\/(-3). Let g be (6\/(-8))\/(z\/16). Suppose g + 6 = 2*r. Give c(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 258*q - 781. What is m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x**3. Let h be j(-1). Calculate the smallest common multiple of 14 and h + (-3 - -5) + -1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {x: 3, g: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6888958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10056 + 5017 + 4979 + i.\nAnswer: i - 60","meta":{"dup_signals":{},"source":"polynomials__collect_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: Let s = -95 + 110. Let l(f) = 57*f + 576. Calculate the smallest common multiple of l(-10) and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -3.5. Let i = j + 2. Let w = 0.3 + -0.2. What is the nearest to i in -2, 2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + 13700?\nAnswer: 13692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 35836112 divided by -4\nAnswer: -8959028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -177034 and -2743.\nAnswer: -179777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -10. Suppose 0 = -i + 5, -3*c - i = -110 + 60. Solve b*k + m - c = 4*m, m - 15 = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-2)\/(-4) + -1. Suppose -q + 24 = 3*q - 2*o, 3*o = -12. Suppose -4*u - g = q*g - 13, 5*g = -3*u + 16. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/(-30))\/(-2*1\/(-36)). Let f = u + 15. Suppose 0 = g + 5*d - 60, f*g - d - 80 = 4*d. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(57)\/sqrt(3) + 4 + sqrt(304))**2.\nAnswer: 80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1797 + -1000. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssg when three letters picked without replacement from {s: 11, g: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*v = 76*v - 36*v - 1656 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -448, -898, -1348?\n\"Answer: -450*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 17 + 7 = 0. Suppose 4*o = -m + 46. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 9*i = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -21. Which is greater: 0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**3\/3 - 4*r + 15. Let m(b) = b - 1. Calculate m(f(d)).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/15 - 2*r\/15 + 8\/5 = 0. What is r?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Let h = u - -9. What is the remainder when 20 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 30 = -38*o. Let u be o*(120\/66 - 2). Solve -2\/11*x**2 + u*x - 2\/11 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.4 and -1.17161?\nAnswer: -29.758894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.1, 36\/899, 0.5 in increasing order.\nAnswer: -0.3, -0.1, 36\/899, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/21 - (-3096)\/7. Suppose -g = -4*c - 58. What is the second derivative of y - 96*y**2 + 9*y**3 + c*y**2 wrt y?\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364378 divided by 7.\nAnswer: 52054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1068 + -1832. Let y be b\/(-2) + -3 + 6. Suppose -4*c = -9*c + y. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8907253*y - 26721760. Determine p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 - 5*r**2 - 77*r - 160. Let p be q(9). Calculate the greatest common factor of 42200 and p.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 16*c + 21. Let q be v(-17). Suppose 0 = 3*a + 363 - 1227. Suppose q*l = l + a. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 16*i + 2. Let p be n(8). Let w be -1 - (0 + 2) - 1. Let g be (w\/12)\/(p\/(-4)). Sort -3, g, -5 in descending order.\nAnswer: g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 976031 + -976074.000048. Let o = l + 43. Round o to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4437944?\nAnswer: 2, 7, 19, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 + 4?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -8465, -0.34, 0, 2, -1, -3?\nAnswer: -8465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*q + 359, 3*q - 7*g + 2*g - 211 = 0. Calculate the greatest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 8, 0, -52, -3 in decreasing order.\nAnswer: 8, 5, 0, -2, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 10 = -58. What is the units digit of 1*2*(-3 - d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 105, 240, 387, 534, 669, 780, 855?\n\"Answer: -2*v**3 + 18*v**2 + 95*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7744 - 16*y + 15600 + 4*y - 7717. Calculate a(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1353*w = 1840*w + 395*w - 1002*w + 56892 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603834.\nAnswer: 2, 3, 7, 11, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202518745 is divided by 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 142\/12 + 140\/(-168). Suppose 5*k - 13*n - 1618 = -d*n, -3*n - 321 = -k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5886 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -26.15, 2, -2, -2\/9, 54?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o*t**3 + 41*o*t - o - 181596640*t**4 - 1514474*t**2 wrt t?\nAnswer: -6*o - 4358319360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = -2*u - 3*t, 660 = -2*u - 5*t + 4*t. Let n be ((-51)\/(-85))\/(((-21)\/u)\/7). What is the highest common factor of n and 1056?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2714 - -2718. Suppose -f + 3 = 3*w - 5, 2*w - 7 = f. Solve 5*d + w*g - 22 - 1 = 0, z*g = 3*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xibbiibixxbibx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40606740 to the nearest integer?\nAnswer: 6372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - ((-4)\/(-4) + -7)) + 37. Suppose -n = -5*y + 5*m, -2*y - m + 42 = 2*y. Solve -t - 10 = 5*z - 6*t, 5*t = 4*z + y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.023 - 7.023. Which is the fourth biggest value? (a) w (b) -104 (c) -0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2604 and 13392?\nAnswer: 93744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 23*v - 5*x + 387 = 0, -x = -4*v + 1443. List the prime factors of v.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11787 is divided by 251?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 1\/6*a**3 - 1\/2*a**2 - 9*a + 0. Let x be 1*(6 - 3 - 2). Let j(t) = -3*t. Calculate x*j(k) + 2*q(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/150 - 7*b**4\/60 - 8*b**3\/15 + b**2 + 45*b. Solve i(r) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 599ac - -3?\nAnswer: 599b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(616) + -2*sqrt(616) + sqrt(616) + sqrt(616))\/sqrt(11) + 5*sqrt(56)*-1)\/(sqrt(24)\/(sqrt(9)\/sqrt(3)*-1)*5).\nAnswer: 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296598907?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43404*l - 24 = -43408*l. Calculate the least common multiple of l and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from zzzzhmfzfzzhhczzhz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6873*p**3 - 18*p**2 - 3*p - 24*p - 4*p + 7*p + 65. Let s be v(-15). Round s to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(108) + 0 + (sqrt(108)*-4)**2 + (sqrt(108)\/sqrt(6))\/sqrt(6)*-5).\nAnswer: -1723 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-72)\/10)\/3)\/(116\/(-92510)*-29).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 27*p. Let x(d) = -d. What is b(v) + 36*x(v)?\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1747, 1742, 1715, 1654, 1547?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 352.225 and 5?\nAnswer: 347.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22866 and 296.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 306, 628, 1094, 1734, 2578?\nAnswer: 3656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 2*a**2 + 1. Let y be p(1). Let w be y\/(-1 - -2) - -3. Suppose w*q - 123 = -51. Solve 2*o = 3*m + 16, 5*o - o + m = q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 5*v + 10. Let i be k(7). Suppose 4*r = r - 150. Let t be 3\/(-4) - r\/i. Sort 0.1, t, -0.3 in decreasing order.\nAnswer: t, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 11*l - 8. Let u be (-7 + -1)*(-1 - 0). Let m be t(u). Suppose -4*z + 146 = 2*r, -r - m - 28 = -z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11733, 11743, 11757, 11775, 11797?\nAnswer: 11823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 5*b**8\/336 - b**7\/42 - 17*b**6\/2 - 145*b**5\/3 + 10*b**4\/3 + 640*b**3 - 267*b**2 + 1. Determine j, given that f(j) = 0.\nAnswer: -12, -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 5, k: 4, f: 1, t: 1, b: 3}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-744)\/144)\/(2\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:00 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - s - 2. Let v(n) = -16*n**2 - 3*n - 4. Calculate -2*b(o) + v(o).\nAnswer: -18*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 - 9.598\nAnswer: -9.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8242 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**11)*q**13 assuming q is positive.\nAnswer: q**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r - 44. Let c(z) = -26*z**3 - 304*z**2 - 2205*z - 5145. Let o(f) = -5*f**3 - 61*f**2 - 441*f - 1029. Let n(q) = r*o(q) + 2*c(q). Factor n(t).\nAnswer: 3*(t + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 1, p: 2}. What is prob of sequence cp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 + 1999*y**2\/3 + 998000*y\/3 - 1000000\/3.\nAnswer: (y - 1)*(y + 1000)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -9)*10\/(70*-51)\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25, 124, 273, 460, 673?\n\"Answer: -2*d**3 + 37*d**2 + 2*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005065727 rounded to 7 decimal places?\nAnswer: -0.0000507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.42 or -0.16?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 81 = -l + 131, 0 = -4*q + l + 175. Let d = q + -25. Let k be ((-2)\/d)\/(5\/(-6)). Which is the nearest to 0? (a) -5 (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 17*v - 26*v - 3*g + 207 = 0, -v = 6*g + 15 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 5. Let r(c) = c**3 - 16*c**2 + 17. Calculate the remainder when r(v) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2010375 divided by 402075\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.82934 decades in months?\nAnswer: 3939.5208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19079\/7 - 2733. Calculate the common denominator of 612\/870 - 15\/25 and w.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 + 646*o - 9017. Determine w(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i - 6*i + i + 15 + 2*i. Let h be g(-11). Solve 0 = 2*c - 2 + h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251 - 23 = 17*p - 163 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 187681029 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (51*j + 442 - 442)*(-2*j**2 + 3*j**2 + 0*j**2) - 4*j**3 + 2*j**3 + 4*j**3 as z*j**2 + u*j + a + d*j**3 and give d.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t**2 + 3*t + 7*t**2 + 2*t**2 - 2. What is p(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(11\/((-1980)\/(-96)))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -58\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -92 in 1, -5, 3, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 70 = 4*t - 9*t, 0 = -2*v - t + 86. Are v and 44 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -3303, 0.2, -3?\nAnswer: -3303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33352 and 660?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 6*u. Let j(i) = i. Suppose 2*n = 3*n. Let v = -6 - n. Let d(y) = v*j(y) - h(y). Let r(o) = o**2. Calculate d(r(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + j**2 - 4*j - 5. Suppose 7*s - 10 = 18. Let z(n) = -n**3 - n**2 + 3*n + 4. Calculate s*z(k) + 3*g(k).\nAnswer: -k**3 - k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 8724.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + (sqrt(252) - sqrt(252)*-2) + -5.\nAnswer: -5 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**3*c*c*c**(1\/6)*(((c**(-6)*c)\/c)\/c)\/(c**(2\/21)\/c))\/((((c\/(((c**1\/c)\/c)\/c*c*c*c)*c)\/c)\/c)**(-20)\/(c**5*c*c**5)) assuming c is positive.\nAnswer: c**(-209\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1853130 and 35827180?\nAnswer: 107481540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*d - 40 - 50 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/sqrt(2)*1)\/sqrt(2))\/((sqrt(64)\/(sqrt(8)\/sqrt(2)))\/sqrt(8)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(63\/(-14)) + 783. Calculate the greatest common divisor of 142 and m.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2 - 10. Which is smaller: 0.1 or r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, i: 3, z: 5}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k - 3*k - k + 0*k + 0*k - k + (1 - 1 - 2*k)*(1 + 0 - 3) + 1 - 1 + k + 10 - 11*k + 7*k + 5*k to the form u + o*k and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/21)*h*h*(h*h**(-1\/3))\/h*h)\/((h\/(h*h**4))\/(h\/h**(1\/16))) assuming h is positive.\nAnswer: h**(841\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9815 = -1489*i + 49745 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 152, 380, 698, 1106, 1604, 2192?\nAnswer: 2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 187660 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -19. Let u(v) = 474*v + 2292. Let b be u(-3). Calculate the greatest common divisor of w and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -513596388809\nAnswer: 513596388809.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 526, 598, 700, 838, 1018, 1246, 1528?\n\"Answer: j**3 + 9*j**2 + 38*j + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29419955?\nAnswer: 5, 43, 193, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*u**2 + 577*c**3*u - 1245*u**2 with respect to c.\nAnswer: -3*c**2*u**2 + 1731*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115 - 214) + 32 + 59.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 22. Let u = 1.7229 + -1.4229. Which is the closest to 2\/3? (a) u (b) l (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/15 - 2\/15. Let r = 8590 - 8587. Which is the second biggest value? (a) r (b) 0.1 (c) l (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*p + 50*p + 21*p**2 - 103*p.\nAnswer: 21*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -42340133?\nAnswer: 42340134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 y when four letters picked without replacement from fyffeyefeffeff.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2, -44, 35416\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 16. Let h be w\/(-2) + 5 + 54. Suppose -11 = 2*k - h. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/12 + (-2)\/(-6). Suppose -3*l + 5*l = y. Put -5, 3, l in increasing order.\nAnswer: -5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -28*u**2 + 6*u. Let g(p) = 2*p**2 + 2600045 - 2600045. Give q(g(v)).\nAnswer: -112*v**4 + 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 15) to base 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:17 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -131 - -169052.014374\nAnswer: 168921.014374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 362 + -363.099. Let m = t + -112.501. Let w = m - -112. Which is greater: 2\/7 or w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28.323, 2\/415, -1\/28 in ascending order.\nAnswer: -28.323, -1\/28, 2\/415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eccecee. What is prob of picking 1 c and 2 e?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*q + 72*q - 122*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 76.2 and -70875551.\nAnswer: -70875474.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7*d - 9 = 0. Suppose -160 = 4*o - 888. Suppose -5*u = -o - d. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1328684*a + 1070 + 1328681*a - 192)*(3*a**3 - a**3 - 11*a**3) in the form y*a**2 + n + l*a**3 + z*a**4 + p*a and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*j + 1078, -5*o + 2*j + 0*j = -2684. Suppose -o = -12*z + 436. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15.9, -4.23, -1\/3 in ascending order.\nAnswer: -4.23, -1\/3, 15.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*c**3 - 13*c**3 + c - 3*c**4)*(-4 + 4 + 3)*(-4*c + 5*c + c).\nAnswer: -18*c**5 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**3 - 3*x**2 - 3*x - 1. What are the prime factors of p(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 11*s = 6*s - 47, 3*g = -5*s + 7. Calculate the smallest common multiple of g and 47.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -285 + 288. Find the first derivative of -30 - w + 74 - j*w - 14*w**2 + 46 wrt w.\nAnswer: -28*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23210 at most as big as 23218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2992432 and 17954592.\nAnswer: 17954592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 12. Let h be n(8). Let s(k) = k - 5. Let d be s(5). Suppose h*f - 7*f + 36 = d. Solve l - f = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7207130 and 77?\nAnswer: 79278430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14910455 to the nearest integer?\nAnswer: 3861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 536687376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 135 from 1.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1178, 1179, 1180, 1181?\n\"Answer: w + 1177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21283*t**2*v**3 - 11344210*t**2 - v**3 + 4*v + 2 with respect to v.\nAnswer: -63849*t**2*v**2 - 3*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b + 3*z + 1233 = 0, -2*z = -48*b + 44*b + 86 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*m = 9, -4*m = 59*v - 60*v - 3. Let p be 0 - (14\/4 - 3). What is the nearest to -11 in v, 1\/3, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 20, 27, 34, 41?\n\"Answer: 7*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = t - 6*t - 5, -5*t - 45 = -4*k. Let x(h) = 1 + 6*h + 4*h + 6. Is 15 a factor of x(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*h**2 + 6*h - 6*h)*(34 + 100 - 13) in the form o*h + r*h**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 63*q**4\/4 + 371575*q**3 - 1391995*q**2\/4 - 47185*q + 23593 = 0. Calculate q.\nAnswer: -23593, -2\/7, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100111111011001100 (base 2) to base 9.\nAnswer: -717823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -7*a**2\/2 - 33. Let o(k) be the second derivative of -k**4\/12 - 17*k. Calculate o(h(d)).\nAnswer: -49*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - d - 536 = 168, 0 = -4*t + d - 696. Let q be 2\/7 - 5\/(t\/(-10)). Let g(y) = -y + 2. Calculate g(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292280604 minus -0.34?\nAnswer: -292280603.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + (2 + (sqrt(147) - (sqrt(147) - (sqrt(147) + -3 + 2))))*-5 + -1)*2)**2.\nAnswer: 1260*sqrt(3) + 14781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -7. Let b = q - 1. What is the third derivative of b*p**2 - 2*p**3 + 0*p**3 + 0*p**3 wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12757\/3 - -4253. What is the nearest to 0.1 in 0.16, 4\/5, 0, w?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2719.99 + -2720. What is the fifth smallest value in 0.4, 6, j, -5, -4\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 + -395\/6. Let g be (3\/(-3))\/((-2)\/4). Let w be (0*(-1)\/g)\/(-2). Which is the second biggest value? (a) u (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3403 + -3398. Which is the nearest to 1? (a) h (b) 4 (c) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u + 7. Let i be c(-16). Let n = -64 + i. Suppose -n - 27 = -3*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeppepjpeppepjppreep. What is prob of sequence er?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(-1 + (-5*(-2 + sqrt(475))*2)**2*6).\nAnswer: -96000*sqrt(19) + 2299192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6593455?\nAnswer: 5, 11, 119881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 473923, 473919, 473915, 473911, 473907, 473903?\nAnswer: 473899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**4\/12 - 19*t**3\/6 + 9*t**2 + 21*t. List the prime factors of a(-15).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.087 - -0.387. Is -1\/8 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*t = -49*t - 3006. Suppose 0 = -18*j + 2811 + t. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19690 + 19693. Let q(s) be the third derivative of 1\/6*s**5 - 13\/3*s**t + 0*s**4 + 0 + 38*s**2 + 0*s. Differentiate q(w) with respect to w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7221 - 5?\nAnswer: 7214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 65, 270, 689, 1394?\nAnswer: 2457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6320700 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 w when four letters picked without replacement from hwnwnnn.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*t - 5 = 195*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 4305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 2. Let c(y) = -6*y**2 - 15. Let v(g) = 2*c(g) - 15*s(g). Let o(n) = 3*n. Give o(v(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 40 = 5*k. Let p be 17\/(-34) + k\/4. Let t(x) = 35*x**3 + x**2 + x - 1. What is the units digit of t(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-2970)*33*(-162)\/(-2)*-2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*k + 269 + 183*k - 364*k.\nAnswer: k + 269","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 11. Let t(f) = -6*f - 5. Is t(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4, 5*u - 7*u - 4*r + 714 = 0. Suppose u = 2*a - w, 3*w - 777 = -3*a - 258. Is (a\/18)\/(2\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36623*p**4*r**2 + p**2*r**2 + r**2 + 4*r - 520 with respect to p.\nAnswer: -146492*p**3*r**2 + 2*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1582*a**2 - 8*a + 6. What is the units digit of r(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53509 and 31519.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 5599*v**3\/3 + 3*v**2\/2 + 3*v + 42. Is b(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*z - 5 = 10, -z + 21 = 4*o. Let j(q) = -q**2 + 9*q + 13. Let g be j(10). Suppose 2*h + o = g*h. Solve h = a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*q**3 - 33*q**3 + 74*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p + 1. Let m(a) = -a - 1. Let w(s) = -3*m(s) - v(s). Suppose 24*d + 36 = -60. Let t(r) = 4*r - 3. Determine d*t(b) - 6*w(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11784 is divided by 90.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1932436 = 3*b. Suppose -b = j - z, z = 4*j + 1883945 + 48500. Let r = 153112 + j. Round r to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 209852 and 4562.\nAnswer: 209852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 42 - 33)*(4*z**3 + 2*z**3 - 4*z**3).\nAnswer: -118*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-15)*(-9)\/10*(-2)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7398344 years in months?\nAnswer: 8.8780128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.13853 - -0.13853. What is the closest to 22 in 4, 0.6, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*i + 341 = -2*i, 0 = -2*l - 2*i - 142. Let r = l + 76. Let w = 10 - r. What is the biggest value in 2\/3, w, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dklkxxdxlx. Give prob of sequence dl.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 109. Let t = b - -46.1. Round t to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191992 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2067 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7259 and 7297979?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/8 + 945*f**2\/2 + 7563*f\/8 + 1891\/4 = 0.\nAnswer: -1, 3782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -6. Let d(u) = -u - 5. Let y be d(o). Solve 5*p - 10 + 0 = y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80*h - 45*h**4 - 32 + 1474*h**4 - 7 - 11 + 1883*h**4 wrt h?\nAnswer: 39744*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*f**2 - 38*f**2 + 77*f**2 - 1320 - 1082 + 185 in the form y + q*f + t*f**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10*-1)\/(-25 + 13488\/540)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 195511 - 95646. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3 - 1)) + (5 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73151 is divided by 31002.\nAnswer: 11147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 720339.7ml?\nAnswer: 720.3397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*b = 2*b + 26, -3*b + 57 = 5*r. Let t(j) be the second derivative of -j**3\/3 - j**2 - 8*j. Calculate the lowest common multiple of t(-2) and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(82\/37884*42).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37463?\nAnswer: 37463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/18 and 109\/468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-7 + (-39)\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*i + 3*g, -i = -4*i + 5*g + 38. Find the third derivative of -25*w**2 + i*w**4 + 40*w**2 - w**4 - w**4 wrt w.\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 0 - h**3 + 5*h**2 - 4 + 7*h + 11 - 3. What is the remainder when 28 is divided by v(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 10 = 0, -2*x - 6 - 8 = 5*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1406981055.\nAnswer: 3, 5, 37, 2535101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30369187?\nAnswer: 30369187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -299 (b) 0.06 (c) 4 (d) -4 (e) -30 (f) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/14 + (-4797)\/(-63). Suppose 2*v + v - 204 = 0. Let r be 2\/2 - j\/v. Is 0 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a factor of 452971564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 + 115. Suppose -3*h - 19 = -7*h - y, -3*y = -9. Let a be (-4)\/(d - (h + -7)). Let b(o) = o**3 + 2*o**2 - 4*o + 2. What is b(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 61 + 19 = -3*r, 5*r - 65 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -82 and 478.\nAnswer: -39196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35963 is divided by 11981?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 740, 1790, 3332, 5408, 8060, 11330?\nAnswer: 15260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 770?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - 3 = 0. Suppose 0*h = s*h - 24. Let c(f) = f**3 + 8*f**2 - 8. Let b be c(-6). What is the greatest common divisor of h and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4460 - -4459.4. What is the biggest value in -5, -0.027, o?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2501 (base 11) in base 10?\nAnswer: -3268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from beeeeeeeieebeebieebi.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -166.\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, 2\/3, -0.2, 6\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(9\/4)\/d)\/d)\/(d*d**(1\/15)*d)*(d\/(d*d\/(d**(-2\/11)\/d)))\/(d\/(d\/(d*d*d*d*d**(4\/3)*d))) assuming d is positive.\nAnswer: d**(-2053\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 + 109 = 4*t - 2*w, -4*w = -2*t - 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(10 + -3 - 4). What is the second smallest value in s, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 149*y + 1049. Calculate w(-7).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 15*y**2 - 14*y + 8. Let v be u(-14). Let n be 3\/(6\/v) - 1201. Is n\/(-45) + 4\/10 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v + 4*q = 1268, -2*v - 4*q + 632 = 0. Suppose -2*u + v = u. List the prime factors of (-6)\/10 - u\/(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22355 + -22355. Factor -10\/19*g**3 + 8\/19*g**4 + m + 4\/19*g**2 - 2\/19*g**5 + 0*g.\nAnswer: -2*g**2*(g - 2)*(g - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3119874.\nAnswer: 2, 3, 17, 73, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 284?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 3252.\nAnswer: 1\/3252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -990 + 2128. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.61 and 9.906.\nAnswer: 10.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -11.4. Let a = -2 + x. Let d = a + -0.8. What is the smallest value in 1\/5, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1455603, -1455596, -1455589?\nAnswer: -1455582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmrrc. Give prob of picking 1 m and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 85486935 to the power of 1\/2, to the nearest integer?\nAnswer: 9246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3584 and 160.\nAnswer: 17920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14685 is divided by 459?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 797573.8km?\nAnswer: 79757380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(265*n + 267*n - 538*n) - 3 + 6*n + 7*n - 15*n to i*n + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -768 + 760. Let t(x) = 15*x - 82*x**3 + 6 + 83*x**3 + 18*x**2 - 8*x**2. Give t(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phh when three letters picked without replacement from phsishw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-55)*11\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u + 3 - 3 - 6*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1128 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 9:01 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.585 - 12.815. Let r = t - -6.23. Which is the closest to -1\/2? (a) r (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (276\/(-10))\/(-58*612\/59160)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 + 7*f**2\/3 - 3.\nAnswer: -(f - 3)*(f + 1)*(2*f - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -85*n**3 + 2*n**2 + 4*n + 4. Calculate q(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 43 (b) -92 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20449273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x - 12. Calculate the remainder when 69 is divided by v(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13740 by 898.\nAnswer: 6870\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4 + 45*z**3 + 44*z**2 - 60*z = 0. What is z?\nAnswer: -10, -2, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1244*m = -1103*m - 1692 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + q**2. Let y be v(1). Sort 5, 1, y in decreasing order.\nAnswer: 5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/15 + 4\/(-6). Let r = 5 + -11\/2. What is the smallest value in r, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0*w + 0 + 8*w**2 - 1\/8*w**4 + 7\/6*w**3. What is the tens digit of b(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/2040480 and 145\/306072.\nAnswer: 6121440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381314708 divided by 95328677.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 + 20 + 10 + 43)*(4675 - 581*k - 4675) as m + s*k and give s.\nAnswer: -30212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 - 77*t**2 + 180*t - 17. Calculate f(36).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 + g**2 - 5*g - 4. Let n be x(-3). Let a be 0\/((10 + -2)\/4). Let z = a - n. Does 29 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/7 - 8024*l\/7 - 1146 = 0. What is l?\nAnswer: -4011, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7184117971 and -757?\nAnswer: 7184117214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, j: 2, x: 9, v: 3}. What is prob of sequence wvx?\nAnswer: 27\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/33086 and 21\/16?\nAnswer: 264688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**3 - 5*c - 5. Let g(b) = b**3 + 1. What is -3*g(y) - w(y)?\nAnswer: 2*y**3 + 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**7\/2520 + d**6\/360 - d**5\/120 - d**4\/12 - 5*d**2. Let c(m) be the second derivative of n(m). Give c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**36*v)**(-4\/3) assuming v is positive.\nAnswer: v**(-152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/3456 and -151\/54.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**3 - x**2 - x - 1. Let u(y) = -14*y**3 - 2*y**2 - 12*y - 2. What is -2*t(i) + u(i)?\nAnswer: -26*i**3 - 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + l - 3*l + (0 - 1 + 3)*(8*l - 13 + 13) in the form v + y*l and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124548?\nAnswer: 2, 3, 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.236*-0.93\nAnswer: 0.21948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*n + 15. Suppose 10*z - n*z = 291. What are the prime factors of z?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 753 = 2*m - 145, 5*b - 4*m = 934. Sort 4, 5, b in decreasing order.\nAnswer: b, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153413820 and 241010.\nAnswer: 1687552020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 60, -1, -1\/68, 0?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 7*t**2 - 8*t - 17. Let y be f(-6). Let q(l) = -11*l - 1. Let h(k) = 21*k + 3. Let d(m) = y*q(m) - 2*h(m). What is d(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.21 (b) -1725 (c) -1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(136) - sqrt(136) - sqrt(136))*-5)\/((-2*sqrt(32))\/sqrt(4)).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0) + (-1 - -182). Suppose z + 89 = 9*r. Factor r*w**2 + 656 + 2*w**3 - 406 - 4*w**3 - 150*w.\nAnswer: -2*(w - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.25 - 17. Let j = 1.4 - k. Let v = -0.25 + j. What is v rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1281 = m. Is (-6)\/10 + m\/(-35) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 444\/20111 or -1?\nAnswer: 444\/20111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lellelhelllleleehll. Give prob of picking 2 h and 1 e.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -27\/5 (b) 0 (c) 2 (d) -96 (e) -1\/12 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 318*i**3 - 21020*i**2 + 456*i + 10801120.\nAnswer: (i - 38)**2*(i + 20)*(i + 374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -3 (b) -5\/2 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1680 and 1967340.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in -11, 4\/7, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/(-10) - 2) + 50\/125. Let c be ((-8)\/(-6) + r)*21\/14. Solve c - 3 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1031, 2, -5, -1, -4.\nAnswer: -1031, -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4633 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47108 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.26 - 3.74. Let w = 0 - m. Sort -5, 1, w.\nAnswer: -5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475*y = 500*y - 144125. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - j = -8, 2 = 2*i - 12*j + 11*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3537784 and 776?\nAnswer: 3537784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t + 12*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + (7 - (-9 - -10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -46 - 272. Let h = n + 89. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*k - 39 = -d, -2*k + 14 = d. Let f be 3\/2*-12*d\/(-54). Is -8 - -14 - -330 - (1 - f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194345 is divided by 32388.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 6*m - 9*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*d**3 - 50*d**3 - 79*d**3 - 99*d**3.\nAnswer: -412*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 108273233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -233*v**4*y - 23*v**4 + 334*y - 11 with respect to v.\nAnswer: -932*v**3*y - 92*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let y = -1 - v. Suppose -2*b + b + 18 = y. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5828000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/993685 and -6\/90335?\nAnswer: 993685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 710*c**2 - 11 - 702*c**2 + 11.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.4 + -7.4. What is the fourth smallest value in -0.2, -0.7, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g + 139*g - 26*g - 25*g - 26*g - 34*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 - (-11 + (-16 - -26) - -34)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(1573) + -1 - (sqrt(91) - (sqrt(91) - sqrt(91)*-2 - sqrt(91)) - sqrt(91))\/sqrt(7))**2.\nAnswer: -28*sqrt(13) + 2549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 3*y**7\/70 - y**6\/10 + y**5\/20 - y**2 + 13*y. Solve g(w) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*i - 0*i. Suppose -i*v = 2*v. Suppose f = -v*f + 6. Calculate the remainder when 20 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(170)*1)\/(-6*1*sqrt(10)) + 1 + 3*sqrt(17) + sqrt(102)\/(sqrt(30)\/sqrt(5)).\nAnswer: 1 + 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 3964544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 - 5*z**2 + z**2 + z**2. Let v(x) = 2*x. Give v(p(g)).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 766828 divided by -8?\nAnswer: -191707\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-5) - -7*1. Suppose o*l - 113 = -29. Suppose -5*m - l = 14. Which is greater: -8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2. Let f = 46 + -66. Let b be f\/16 + (-1)\/(-4). Let h(r) = -r + 3. Let u(v) = 1. Let k(x) = b*h(x) + 3*u(x). Determine k(o(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 3*r - r**2 + 0 - 1\/3*r**3. Let p be s(-10). What is the greatest common divisor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 + 34 - 32*c**2 - 29*c**2 - 34.\nAnswer: -53*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a**2 - 202 - 100*a - 67*a**2 + 16*a**4 + 178 = 0. Calculate a.\nAnswer: -2, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s = 15. Let x = 46 - 41. Suppose 5*z = -20, -q + 5*z = -0*q - 24. Solve -q = b + b + 4*p, -3*b + s = -x*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2129, 4284, 6431, 8570, 10701, 12824, 14939?\n\"Answer: -4*b**2 + 2167*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3544, -52\/3 in descending order.\nAnswer: -1, -52\/3, -3544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3120 + 110?\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + 23*w**2 - 14*w**2 to g + o*w**2 + p*w and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**3 - v**2 + 2*v - 4. Let d = -3 - -8. Let b = d - 9. Let g be 516\/645*(-350)\/(-56) - 6*1. Let y(f) = -f**3 - f + 1. What is b*y(n) + g*z(n)?\nAnswer: -3*n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((3 + 4*(1 + sqrt(396)))*5 - ((-3 + -1*sqrt(396) - -1*(sqrt(396) + -1)) + 0)))**2.\nAnswer: 234000*sqrt(11) + 3998025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96322906 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80069\/45 + -8701\/5. Let u = q - 3097\/90. Find the common denominator of 125\/182 and u.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.89846 weeks in microseconds?\nAnswer: 1752988608000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 10, v: 10}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 114976581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 14*u - 4. What is the remainder when h(-6) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 6. Let g(d) be the first derivative of -d**3\/3 + d**2\/2 + 4*d + 3. Determine g(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*v + 61*v + 40*v + 54*v + 53*v + 53*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -7. Suppose 7*a + 21 + 6 = 69. Solve -i = -c*i - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 978, 908, 802, 666, 506, 328?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 57, 79, 99, 117?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -2*sqrt(891) + -5 - (sqrt(176) + sqrt(176) + 1 + sqrt(176) + 5)) + 1 + 5.\nAnswer: -21*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(117)*4 + 3 + 3)**2 + -3.\nAnswer: 576*sqrt(13) + 29985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 33741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.11 (b) 0.1 (c) 8\/5 (d) -3 (e) 110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 141.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 4:18 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -86.1.\nAnswer: 258.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 + -68.4. Which is the second smallest value? (a) s (b) 1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + i**2 + 11. Let n be g(0). Let f(a) = a - 7. Let w be f(n). Let u be (-1110)\/74*(-2)\/5. Solve -w*p + 2 = u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -52 + 66 - 26?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -350 in 3, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 - (-29 + 11)) + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -320 (b) -1 (c) -13\/623\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 3. Let t(u) = -2. Determine 3*g(d) + 2*t(d).\nAnswer: -3*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944000 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 17*w + 1. Suppose -2*s = -6*s - z + 40, -4*z = 0. Suppose -5*t = -s, -2*l + 2*t = t - 4. Suppose -2*f = -4*p + 3*p, l*p = 6. Calculate x(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21a9a14 (base 11) to base 4.\nAnswer: -32233103223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -1, 4, -3, 2536 in decreasing order.\nAnswer: 2536, 95, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4 + 7 + 4 + o. What is i(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2013 - 2008. Let j(l) be the first derivative of 2*l**3\/3 - 4*l**2 - 8*l + 1. Let i be j(t). Solve 0 = -s - 7 + i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 = -4*m - j, -16 = 4*m + 2*j. Calculate the common denominator of (9016\/(-80))\/23 + -1 + m and 103\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 0.064798?\nAnswer: -0.264798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3132 + 4431?\nAnswer: 13113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-6))\/(145\/116))\/(-5).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1901280852 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, 9, 39, 75, 117?\n\"Answer: 3*v**2 + 15*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35681213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 383 (b) -0.4 (c) -3\/2 (d) -3 (e) 0.03 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + g = -19, -22*g + 23 = 5*l - 19*g. Which is the smallest value? (a) l (b) -2\/3 (c) -16\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2290077?\nAnswer: 3, 53, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2731*p - 2731*p + 5*p**2 - 3 as k*p**2 + g + z*p and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + 4*g**3 + 2*g**3 + (2*g**2 + 2*g**3 - 2*g**2)*(-11 + 22 + 76).\nAnswer: 176*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14182.7 + -14227. Which is the fifth biggest value? (a) -1 (b) -0.1 (c) -1\/6 (d) 3 (e) s\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c - 120. Let h be (c\/9)\/(2\/9). Solve -r = -8*k + 3*k - h, 0 = -2*r - 5*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -18. Let n be 30563616\/r + 4\/6. Let m = n + 1017978. What is m rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -8. Let m = h + 6. Suppose -82 + 220 = 3*a + z, m*z - 138 = -3*a. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, j: 1, p: 1, e: 5}. Give prob of sequence eprj.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 7*i**2 + i + 5. Suppose -4 = -5*p + 4*p - x, -4*x - 33 = -3*p. What is the remainder when u(p) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Suppose -6*k + 2*k = -8. Suppose k*g - 1 = -4*h + 15, -g + h = -t. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 - 22560*n**3 + 12379160*n**2 + 29482581120*n + 8539310749520.\nAnswer: 5*(n - 2734)**2*(n + 478)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1.9 (c) 2\/15 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11992 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 3*c + 5. Let p be v(5). Let z(x) = x**3 + 5*x**2 - 2*x - 7. Let y be z(p). Suppose -2*k - 5 = -y*k, -a = -2*k + 8. Solve -a*m = 11 - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*o + 166*o = 4*k + 27, -5*o - k - 28 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -3 in decreasing order.\nAnswer: 7, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430 and 201690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1225)*2)\/((1*sqrt(405) + sqrt(5) - sqrt(5))*-6).\nAnswer: -35*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 7*f - 5*f - 12, -3*f - 28 = -4*c. Is 37 a factor of 395 - c*3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1111110111000110011?\nAnswer: -1111110111000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (12 - 27) - (-9 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 1\/2*z**2 - z + 4\/3*z**3 + 1\/4*z**4 + 1. Calculate o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007 times 172.7?\nAnswer: 1.2089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 0*v**4 + 0*v**3 + 0 + 1\/2*v**2 - 3*v + 0*v**5 - 1\/10*v**6. Differentiate u(x) wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88854*d = -88864*d + b + 85, 5*d - 3*b - 55 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/21 (b) -6 (c) 0.4 (d) -12 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -24. What is the closest to 1 in 2, 1\/5, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/16777 or 652?\nAnswer: 652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (8 - 12)*3) + -4 + 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/(5\/(-10)). Let j(s) = -2*s**3 - 3*s**2 - 2*s + 4. Is j(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-2))\/(69\/(-46))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g. Let n(y) = -227*y**2 + 2*y. Give n(a(s)).\nAnswer: -3632*s**2 - 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 36 - 76 = 0. Solve -d = -0*s - 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121\/4 - -1093\/36. Let v(w) be the first derivative of 0*w + 1\/27*w**6 - n*w**4 + 0*w**2 + 0*w**3 - 4 - 2\/45*w**5. Suppose v(b) = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**6\/30 + k**3 - 7*k**2\/2 + k. Let m(u) be the first derivative of h(u). What is the derivative of m(c) wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1614, 5800, 12524, 21780, 33562, 47864, 64680, 84004?\nAnswer: 105830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*b + w - 9, 5*b + 21 = -2*w. Let h be 35*-3*2\/(-3). Let k = b + h. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 3*a = n - 175, 0 = n - 1636*a + 1632*a - 33 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(1\/(-15))\/((-4)\/(-12)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 283 - 188. Let x be 200\/((-1)\/2 - z\/(-198)). What is x rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-51813)\/228)\/303)\/((-1)\/(-32))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.041954 + 2.564146. Round q to two dps.\nAnswer: 2.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 242 + 270 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 331235 and 3410?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -8*3\/(-6). Let d = g + -3. Let r(m) = 3*m**3 - m**2 + 1. Let y be r(d). Solve -2*k - 3*z + 3 = 0, -2*k - 2*k = -y*z + 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 4)*(-1 + 0 + 3 - 3*d) in the form k + q*d and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 250 = -76*j - 416 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 43*z**2 + 3028. Let q(h) = -25*h**2. What is u(q(w))?\nAnswer: -2150*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -42279.\nAnswer: -42279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1807, -1669, -1369, -823, 53, 1343, 3131, 5501?\nAnswer: 8537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -221, -0.21, -60, 8?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494 divided by -3.\nAnswer: -494\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.012 + 5. Let f = 280 - 279.358. Let c = f + z. What is c rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2955011735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 88*w**3 - 1 + 347*w**2 + 4 - 350*w**2 + 46*w**3 in the form b*w**3 + i + s*w**2 + l*w and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjuuaks. Give prob of picking 1 u and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1704\/5 + -6371\/20. What is the common denominator of g and -45\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1631*w + 60 = 1643*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 483 = -30*w, 10*w - 42 = w + 7*w - n - 13 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j - 152 + 100 = -292 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*i - 8 = 0, -6*t + 2*i = -1327 + 1275 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*(-3*sqrt(88) + sqrt(88)) + sqrt(88) - sqrt(88))\/((-1*(sqrt(132) + sqrt(132)*3))\/sqrt(12)).\nAnswer: -6*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 183716568 to the power of 1\/2, to the nearest integer?\nAnswer: 13554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (9 - (4 + 11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krrr when four letters picked without replacement from rkrrrrrrrrkr?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/227, -51.7, -1 in decreasing order.\nAnswer: -4\/227, -1, -51.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26545884 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/2 and -28986005 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273 + 490*p + 4*p**3 + 1610*p + 55 + 8*p**2.\nAnswer: 4*p**3 + 8*p**2 + 2100*p - 218","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 + 14*g**3 - 24*g**2.\nAnswer: -2*g**2*(g - 4)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-60 - -71 - (1 - (1 + 7))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1404 divided by 54\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726974181.\nAnswer: 3, 19, 4251311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16473618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 104\/260*55\/2. Which is the fourth smallest value? (a) 8 (b) x (c) -0.3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h = 115. Let w = 5 - 2. Suppose 0 = w*x + 9, 2*s + x - 1 = -0. Solve -i + s*t - 7*t = -15, -2*t = -3*i - h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2. Let k(i) = 17*i**2 - 12*i**2 + 12*i**2. What is z(k(j))?\nAnswer: -578*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 1546.\nAnswer: 15460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 - (3 + (0 - 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.47 - -2.47. Let h = 1 - 4. Which is the closest to -0.1? (a) h (b) y (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -11. Let l = a - 10. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*n)*(-1 - 2*n + 1) - 3*n**2 + 5*n**2 - 3*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73 - 18 - 41*q**2 - 40 wrt q.\nAnswer: -82*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, q: 1, f: 1, v: 6, c: 3}. What is prob of picking 1 c, 2 k, and 1 f?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 9*o**2 + 17*o + 12. Is m(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/1 + 26 + -21 + -51 + -37\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 46. Determine d(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -209*o**3 - 77*o**2 + 286*o + 77. Let u(d) = -11*d**3 - 4*d**2 + 15*d + 4. Let f(i) = -4*l(i) + 77*u(i). Find the second derivative of f(y) wrt y.\nAnswer: -66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 553\/383 + -490157\/363084. Calculate the common denominator of -68\/33 and q.\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4505? (a) 55.8 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -83?\nAnswer: 5\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:25 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, 2, -7 in ascending order.\nAnswer: -7, -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3075 by 5.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1365876, 1365878, 1365882, 1365888, 1365896, 1365906, 1365918?\nAnswer: 1365932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooohoooooooooooooo. Give prob of picking 1 h and 1 o.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + -1 - (-282)\/(-192)*-4 and -43\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0874 + -0.1126. Sort o, 653, -1\/3, -0.1 in increasing order.\nAnswer: -1\/3, o, -0.1, 653","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154326037 is divided by 70.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:18 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*i + 155 = -3*s, 0 = -4*i. Let m = 34 + s. Put -3, 8, 0, m in increasing order.\nAnswer: -3, 0, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**2 - 8*m - 16. Let l(x) = 48*x**2 + 57*x + 111. Let a(i) = 27*d(i) + 4*l(i). Factor a(s).\nAnswer: 3*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(7))**2 - (sqrt(7) - (-3*sqrt(847) + sqrt(847))) - (sqrt(77) + 6*(sqrt(77) - -1*sqrt(77)))\/(sqrt(44)\/sqrt(16)).\nAnswer: -49*sqrt(7) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 284492113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p + 43*p - 27*p = -748 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197952 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 344646052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38, -71, -98, -107, -86, -23?\n\"Answer: 2*z**3 - 9*z**2 - 20*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 19 + 33. Let b = d - -32. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**3)\/o)\/(o\/(o\/o**(-5)))*((o\/(o**1\/o))\/o)**(28\/3) assuming o is positive.\nAnswer: o**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -318*k*w + 50930*k + 44*w with respect to w.\nAnswer: -318*k + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/10)*i)\/(i*i**(-4\/11)*i))\/(i**(-1\/7))**(-38) assuming i is positive.\nAnswer: i**(-4747\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 - 1729\/26. Let w = -144 - p. Let m be w\/(-3) - 6\/9. Solve -5*v - g = -2*g - m, -v + 29 = -5*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502460, -502437, -502414, -502391, -502368?\nAnswer: -502345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -112 in descending order.\nAnswer: 6, -4, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 10*v - 1. Let f be p(-7). What is the common denominator of (12 + 2)*13\/f and -25\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 15*z**2 - 1578*z - 87. Give o(32).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 4694 and -4.1607.\nAnswer: 4689.8393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 8)*(1 + (-372)\/28). Is (-1474 + 0 + 0)*(-43)\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -192*q + 193*q - 2*t, 3*q - 3*t - 45 = 0. Calculate the least common multiple of 582 and q.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00542268 to four decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -54. Suppose -6*t + 284 + 1384 = s. Is t greater than 278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-189)\/(-252)*400\/6. Solve 5*y - 15*y + x = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68587 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 11749500.\nAnswer: 11749500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 + -3. Let b = 0.1 + f. Let m = 4.1 - 4.2. What is the nearest to b in m, 2, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7343825 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-8) - 122\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 49860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 + 97. Let c = r - 183.9. Let s = -35 - -7. Which is bigger: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 12:45 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 8*x**2 + 5*x + 5. Let u = 13 + -8. Suppose 0*y = -3*y + 6, -u*y - 28 = f. Find the common denominator of f and c(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*k + 279*k**2 + k**4 - 58*k**2 + 42*k + 182*k**2 + 58*k**2 - 2*k**3 to t + l*k + w*k**2 + n*k**3 + s*k**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1874\/5)\/((-72)\/(-180))?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1125208 - 3307708. Round r to the nearest ten thousand.\nAnswer: -2180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 66\/(-18) - (-104)\/(-78). Put -2, 2, 23, q in increasing order.\nAnswer: q, -2, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 2*o - 15. Let w be b(-4). Solve 2*p - 3 = -d, -5*d - 28 = -3*p + w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 60*v**2 - 69*v - 126.\nAnswer: 3*(v - 2)*(v + 1)*(v + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 3484852.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354703.\nAnswer: 354703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3021 and 36.\nAnswer: 36252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.6 + 14. Let l = g - 7.1. Let u = l - 1. What is u rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 35. Let a be 41\/1 - -4 - b. Suppose -2*p + 48 = -a. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-450)\/12*468\/(-3). Suppose b = 6*b - m. Let d = b - 701. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 j when three letters picked without replacement from {x: 2, t: 2, n: 3, m: 1, j: 2, h: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 15 = 3*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + -143734?\nAnswer: -143745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v + 5. Let m(q) = -6*q - 5. Let w(z) = -4*m(z) - 5*s(z). What is w(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3707 is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 51059290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1244*g**3 - g**2 + 1. Let q be w(-1). Factor -l**2 + 1244 - l**3 - q.\nAnswer: -l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157 (base 10) to base 12.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94 - (64 + (-130 - -142))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = -21 + 21 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -144?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2808595 is divided by 437.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Let f be o*-3*12\/(-27). Suppose -5*c = 5*z - 8 + 3, f*z + 8 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**2 + 51*a + 7. What is r(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 10. Suppose -2*n + 5*x - 37 = -5*n, -3*x + 67 = p*n. What is the remainder when n is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + k = 2*x + 10, x + 8 = 5*k. Let z = -0.37 + 0.07. What is the nearest to x in -3, z, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -1, -4.\nAnswer: -34, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 6248?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2))\/s**(-40)*(s*s**(-2))**(1\/29) assuming s is positive.\nAnswer: s**(1130\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62 in 5, -0.4, -1\/4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*w + 24 = 426*w. Let i be -6 + (-17)\/w + (-18)\/(-24). Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 253179, 506359, 759539, 1012719?\n\"Answer: 253180*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 933643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46386567583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/14 and 45\/148?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13052 or -13054?\nAnswer: -13052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2451 + -2445. Put -4, a, 3 in descending order.\nAnswer: a, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91)\/(-42)*((-1518)\/2288)\/(-23).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -18*t - 79 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 118, 205, 296, 391?\n\"Answer: 2*j**2 + 77*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enan when four letters picked without replacement from {e: 2, a: 3, n: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 12 + 23 = -2*o, s - 5 = o. Let f = -10 - o. Suppose -2*z = y - f*z + 2, -y + 3*z = -8. Sort -5, -4, y.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 - 0.266. Let z = -0.1 - d. Round z to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.2, 7, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v - 33*v - 46. Which is the closest to -1? (a) -4 (b) v (c) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 233193 - 163850. List the prime factors of q.\nAnswer: 17, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 57. Let d(l) = -29*l**3 - l**2 - 2*l + 25. Is d(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (2*sqrt(48) - sqrt(48)) + sqrt(12))\/(sqrt(216)*-1 - sqrt(6)) + 5.\nAnswer: -4*sqrt(2)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 162895, 163591, 164287, 164983?\n\"Answer: 696*k + 162199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(98))**2.\nAnswer: 14112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*u - 2820, 5*y - 7*u = -2*u - 7055. Is y\/6*9\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/15 + 552\/115 + 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*k*r**2 - 504*k*r + 1588434*k - 4*r**2 - 6 wrt r?\nAnswer: 148*k*r - 504*k - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -31. Suppose 4*p - 2*s - 57 = y, 3*p - 30 = -5*s. Let j = p - -38. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from {r: 7, i: 1, p: 1}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*y - 7 = 0, -18*y + 4*y = 5*z + 53 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvwalvzaavalnllaava. Give prob of sequence wnza.\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (60\/40)\/(6\/20). Let x(t) = -3*t**3 + 4*t**2 - 9*t + 7. Let i(s) = -16*s**3 + 19*s**2 - 46*s + 35. Let q(l) = -2*i(l) + 11*x(l). Give q(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 253.04115 - 253. Let s = 0.036 - l. Round s to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -22. Suppose n - 4*f = i*n + 2, n - 8 = f. Suppose 0 = 5*q - n*q + 9. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + 64 + 24 + -19?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -476 + 2383\/5. What is the third biggest value in 3, -4, 4, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1294 + 1266. Do n and -55\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96870 by 6.\nAnswer: -16145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4649 and 0.14?\nAnswer: 4648.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-7 - -7) - (1 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xwwxykw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + (1 - 3 + 3)*(3 - 2 + 0) - 2 + 1 - 1)*(-m + m + 2*m**2).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -702 divided by -92?\nAnswer: 351\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -672297, -1344648, -2016999, -2689350, -3361701, -4034052?\nAnswer: -4706403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7255 and 981800.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -7 + 2 + -9 + -18\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {y: 9, h: 1, p: 9}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1554 and -0.3.\nAnswer: 1553.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 6 (b) -4 (c) -262 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 19 - 11. Let u(s) = h*s**3 - s + 16*s**3 - 8*s**3 + 24*s**3. What is the tens digit of u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -96, 7726 in decreasing order.\nAnswer: 7726, -40, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2155, 4479, 6817, 9175, 11559, 13975, 16429?\nAnswer: 18927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*t - 208, 4*t + 169 = -4*v + 3*v. Let i = -27 - t. Solve -5*s - 2*o = i - 35, 4 = -3*s + 2*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 + -5)*(-4)\/5. Let v(p) = -p**3 - 4*p**2 - 5*p - 6. Let z(f) = 0 + 0 + 1. Let b(n) = x*z(n) - v(n). Factor b(g).\nAnswer: (g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 131, 203, 275, 347?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -100100101101011000?\nAnswer: -100100101101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15110 - -81487. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -828*0.09\nAnswer: -74.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 39 = -5*y, 5*y = 2*n + 54 - 7. Suppose 0*x + y*x = 231. Factor x*b**2 - 2*b**2 - 3*b**2 - b**3 - 4*b**2 - 36*b.\nAnswer: -b*(b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37714\/3 - -12344. Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*w + 6*w + w**3 - 18*w)*(27*w - 40*w - 32*w) to the form a*w**4 + s + k*w + z*w**3 + q*w**2 and give a.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-14)*m*m)\/(m**(2\/39)*m) assuming m is positive.\nAnswer: m**(-470\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1086900 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.116907 to 2 dps.\nAnswer: -1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000032840934 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 + 1397. What are the prime factors of q?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 76083, 4, 0.3 in ascending order.\nAnswer: -0.1, 0.3, 4, 76083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(3\/(-48)). What are the prime factors of (204\/10)\/(v\/20)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, c: 5}. What is prob of picking 2 c and 2 r?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386486853.\nAnswer: 3, 311, 414241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4098*m + 649. Is j(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c**3 - 3*c + 4. Let z(u) = -u**3 - u + 1. Let w(t) = -2*b(t) + 6*z(t). Find the first derivative of w(h) wrt h.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a factor of 1058240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12324 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.26 in -5, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:21 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41 + 0*k**4 + 3*k**4 - 142 + 30*k - 98 + 32*k wrt k.\nAnswer: 12*k**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -198682.5 and -9086.\nAnswer: -207768.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -1232101102?\nAnswer: 1232101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-3 + 1)**2 - (-6*3*sqrt(132) + sqrt(132))\/sqrt(12).\nAnswer: -25*sqrt(11) + 4852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/1295?\nAnswer: 12\/1295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 11. Calculate the greatest common factor of 38 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/96140 and 37\/249964.\nAnswer: 1249820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - f - 106 = -3*n, 5*n + 4*f - 188 = 0. Suppose 27*i - 19*i - 1432 = 0. What is the remainder when i is divided by n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 0, 3*g = -2*g + 2*k + 1. Let a = 3 + g. Suppose -a*h - 300 = -9*h. Calculate the highest common factor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/140094 and 93\/344.\nAnswer: 560376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/((-8)\/2294) - (-37)\/(-74) is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -451011295*f**2 + 1114*f - 71346 wrt f?\nAnswer: -902022590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 8 - 8 = -5*s - 2, -20 = -4*s - 2*t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -942 - 13294 = -a - 5*r, 2*r = 5*a - 71099. List the prime factors of a.\nAnswer: 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59*c**2*k - 604*c**2 + c - 13*k**2 wrt k.\nAnswer: 59*c**2 - 26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/7, 0.5, -0.4, 417, -2, 0.2 in decreasing order.\nAnswer: 417, 0.5, 0.2, -0.4, -2, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/50 + 4\/(-15). Let y be 1*(3\/1 + -2). Let u = 0.292 + -0.092. Which is the nearest to y? (a) -3 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**2 + 12 + 1\/60*d**5 + 3\/8*d**4 + 0*d + 4\/3*d**3. Let n(f) be the second derivative of i(f). Give n(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-19)\/(-76))\/(2 - 3). What is the nearest to -8\/5 in 2, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.981 - 28. Round w to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*v - 28. Solve -v*n = -4*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(2\/(-43)) + 0. Let j = -299\/7 - l. Let s = 18 + -17.7. Which is the third biggest value? (a) j (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1337 divided by -3?\nAnswer: 1337\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 6. Let k be h(6). Let p = k + 10. Suppose g + 1 = p. Solve 0 = -b + g*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/((sqrt(162)\/sqrt(3))\/sqrt(6)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3040 and -17\/3420.\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 5*w - 2. Let k be i(-7). Do k and -16 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1044162 (base 7) to base 2\nAnswer: -11111011011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03631 + 788376806?\nAnswer: 788376806.03631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s - 287 = 4*d, -3*s = 3*d - 294. Let j = s - 20. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 600782?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 427554766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 - 0.791. Let n = -0.951 + l. Let q = n - -1.5. What is q rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-6)\/(1 + 2). Let y(z) = 17*z + 6. Is 13 a factor of y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaxxaxaaxxx. What is prob of sequence xxax?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6729904c - -5?\nAnswer: -67299047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 8:53 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 508\/(-3810) + (-37262)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 1, q: 4, w: 3, m: 2}. Give prob of picking 1 q, 1 m, 1 w, and 1 t.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**3\/3 - k**2 - 15*k - 2. Let d be o(-8). Suppose b - 19 = 2*r - 3*r, -b - d = -3*r. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/((18\/37377)\/1)?\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 67173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**(1\/17))*n*(n**(-7\/2)*n)\/n)**(11\/7) assuming n is positive.\nAnswer: n**(-1331\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1) + (-52)\/(-4). Is -1 + z + (5 - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1112\nAnswer: -333.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 84*w**3 - 648*w**2 + 2160*w - 2592.\nAnswer: -4*(w - 6)**3*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(15\/40) + (-3)\/(-9). Suppose 4*d + r*g - 655 = 2*g, 4*d - 637 = 5*g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12530\/9 + -1392. Sort 28, l, 1.\nAnswer: l, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -29, -29, -13, 25, 91, 191, 331?\n\"Answer: q**3 - q**2 - 14*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25135716 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 1. Let r(m) = 5*m - 2. Let l be 0*1*(2 - 3). Suppose l*p = -p + 1. Let a be (-42)\/98 - (-2 + (-20)\/14). Calculate a*w(k) + p*r(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 15 = 0, 2*j = -4*a + 3*j - 105. Suppose -b - b = -100. Let g = a + b. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -45*w. Let q(k) = -k**2 + 10*k - 5. Let b(s) = s**2 - 12*s + 6. Let o(v) = 5*b(v) + 6*q(v). Calculate l(o(n)).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52693858*m - 77750117 wrt m.\nAnswer: 52693858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*t - 70 + 399 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 4*m**2 + 3*m**2)*(0*m - 7*m + m) + (0*m**2 - 2*m**2 + 3*m**2)*(0 + 2*m + 0) + 21*m**3 - 26*m**2 + 26*m**2.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41128 and 8536?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 - 97*y + 52. What is the hundreds digit of l(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*g - 210, p = 4*p + 4*g - 91. Let z be 2 + 0\/(-4) - -3. Suppose z*s - o = p, -4*o - 36 = -5*s + s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*o - 16 = o, -2*v - 3*o = 16. Let m(g) = 11*g + 2. Let p(j) = 177*j + 33. Let s(c) = v*p(c) + 33*m(c). Calculate s(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 13*v + 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2052 and 969?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1170554\/3 - 390184. Find n, given that 1\/9*n - l + 1\/9*n**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9120 + 9181. Calculate the remainder when m is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*-1*(0 + (-1*sqrt(4212) - (sqrt(468) + 3 - sqrt(52))) + -2))**2.\nAnswer: 5500*sqrt(13) + 157925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5368 - -1?\nAnswer: 5369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 529 = 1. Let k = -56 + q. What are 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 the value of 36 + -16 - 38 - -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54.5 - -55. Let j = 244.7 + -256. Let l = 11 + j. Which is the closest to 2? (a) v (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1154555 and 470?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**2 + 29*o - 81*o - 59*o - 65*o - 34*o + 432 = 0.\nAnswer: -72, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -31*s + 25*s. Calculate the greatest common factor of 279 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*r - 14 = 4, 0 = 2*s - 3*r - 12. Suppose -t - 10 = -108. Let x = -94 + t. Sort x, -4, s in decreasing order.\nAnswer: x, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25019198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (26\/65)\/(12\/10*1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1601.81637 rounded to the nearest 10?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t - 29*t - 35 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j = -80*j + 2025. Let l(g) = 33*g**2 - 1. Let u be l(-1). Suppose -23*s + u = -j*s. Calculate the highest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 6*d**2 + 2*d + 4. Let n be x(-3). Sort n, 5, -1.\nAnswer: n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 4:41 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.3702 + -0.6298. Let b = 0.024 + -29.024. Let a = -0.06 + -3.94. Put a, 1\/2, g, b in ascending order.\nAnswer: b, g, a, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-180)\/(-480) + 51189\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107748 and 8388.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 10 = -16*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 950 - 913*d + 6*d**2 - 922*d + 2761*d - 924*d to y*d + t + v*d**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3904*b**2 + 5*b - 395648.\nAnswer: -7808*b + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 1, c + r - 6 + 1 = 0. Let a(w) = -11*w**3 + c*w**3 - 1 - 2*w - 11*w**3. Does 17 divide a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -264619 - 376*w**2 + 264619 + (-5*w + 5*w + w)*(-2 - 2*w + 2) - w**2 + 0*w + 0*w.\nAnswer: -379*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 4:55 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 37*s + 3. Let h(z) = 25*z + 2. Let b(q) = -7*h(q) + 5*m(q). Calculate the remainder when 2\/(-8) + 330\/8 is divided by b(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -14. Let t = -4 - -4. Let o = 0 + 1. Which is the nearest to t? (a) -0.5 (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 9 = -5*f - 1, -h - 3 = 2*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 46, 98, 150?\n\"Answer: 52*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (576 - 585) + 0 + 75 - 21?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00101834 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/396 - ((-7368)\/(-132))\/(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - i. Let r(s) = 12*s**2 - 19*s - 2. Let k(n) = -r(n) + 5*w(n). Let g(q) = q. Determine -12*g(p) + k(p).\nAnswer: -2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -201011 (base 3) to base 14\nAnswer: -28d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -12. What are the prime factors of r?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/2 - 3\/10. Let i be (-8)\/(-2) + (-158 - -159). Sort a, -4, i, -1\/4.\nAnswer: -4, -1\/4, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7684 divided by 3842\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/12 and -139\/3852444.\nAnswer: 3852444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-14) - (11172\/(-2128))\/(98\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16742 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4645 + 0.5\nAnswer: 4645.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2428 - -2429. Suppose 4*t + 40 = -5*z, -5*t + z + 2*z = 87. Let s be ((-12)\/15)\/(3\/t). Sort s, -1\/2, l in ascending order.\nAnswer: -1\/2, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 13*w - 1. What is the remainder when 45 is divided by o(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 5:24 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*l**4*r - 3*l**4 - 603*l**2 + r wrt l?\nAnswer: 360*l*r - 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.1, 7, -0.059, -2\/5.\nAnswer: -2\/5, -0.1, -0.059, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1976, 7895, 17760, 31571, 49328?\nAnswer: 71031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8715475513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*(-5)\/((-10)\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s + 42 - 20 - 22.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/(((-12)\/64)\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -18. Let j be (-6)\/(-8) - 7\/(-28). Let h be (z\/(-15))\/j*5. What is the nearest to 1\/3 in h, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 12*a + 25. Let v be c(-10). Let y(u) = -5*u + 10. Let o(z) = -13*z + 20. Let i(l) = v*y(l) - 2*o(l). What is i(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 21 + 25 = 0, 10*x - 121940 = 5*m. What are the prime factors of x?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.4, -76, -0.5, -2, 2, 51, -5?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 361356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 1165*b - 20 + 8 - 4970*b as v + m*b and give m.\nAnswer: -3805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(3\/4))\/(g\/(g*g**(-2)*g)))\/((g\/g**(2\/11))\/g*g*g**(-2\/13)\/g*g*g) assuming g is positive.\nAnswer: g**(-1381\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3900.7645 rounded to the nearest ten?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 1, c: 4, j: 1, n: 1}. What is prob of picking 1 c, 1 j, and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 9) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 + 8*c**2 - c + 4*c**2 + 6*c**2 + 1 - 20*c**2 in the form o*c**3 + w*c + z + s*c**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25\/17 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.9975 - 0.1\nAnswer: -3.0975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9909 + -9902. Let l(k) = -5*k**3 - 7*k**2 - 37*k. Let y(g) = -6*g**3 - 8*g**2 - 37*g. Calculate m*l(s) - 6*y(s).\nAnswer: s**3 - s**2 - 37*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -1\/231*x**7 + 0*x**3 + 0*x**6 + 0*x**4 + x + 0 + 0*x**2 + 1\/110*x**5. Determine m so that r(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.76 and 29.\nAnswer: -22.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 447006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 275 + -274.871. Let b = k + 1.871. What is the closest to b in -0.5, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 47*i**2 - 2*i - 4 - 1 + 30*i**2 - 75*i**2 - 2 - i. Let s(u) = 5*u**2 + 2*u + 1. Let l be s(-1). What is m(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*r**3 + 37*r**3 - 13*r**3.\nAnswer: 250*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.5. What is the second biggest value in o, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 187 = -8*x. Let n = -65 + x. Suppose 24 - n = -7*t. What is the highest common factor of t and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62838433227162.1600009 + -62838430388829. Let o = 2838333 - j. Let l = o - -0.16. Round l to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84743 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 + -3.9. Let o = 4.4 + n. Let g = -1.7964 + o. What is g rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l - 12. Let a be q(5). Suppose a*u - 5 = 4. Solve 0 = 5*v - u*f - 24, 2*v + 2*v = -4*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(((-3)\/(-4))\/((-9)\/(-8))). Solve 3*i = 4*i + m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -871.66 + 1041322628.\nAnswer: 1041321756.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 219366, 219385, 219418, 219471, 219550?\n\"Answer: d**3 + d**2 + 9*d + 219355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g. Let n(y) = 5*y**2. Give h(n(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + r + 2 = -10, 74 - 5 = -9*i + 22*r - 55 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (1 + 0 + -3). Suppose -x = -2*c + 2*w - 1, -14 = -4*c + w. What is the greatest common factor of c and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*v - 6*v + 13, -4*s + 9 = -3*v. What is the closest to 26 in -3, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 7*i**2 + 13*i + 14. Give r(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.247242 rounded to 4 dps?\nAnswer: 0.2472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2455013 less than -2455022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24 - (5 + -5)*(-1 + 0). Let j(t) = t**3 - 24*t**2 + 16*t - 25. What is the units digit of j(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 34*c**2 - 28*c. Let g be h(33). Calculate the highest common factor of g and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 7, k: 1, j: 1, q: 4}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 12:16 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. What is the third derivative of o**4 + 2*o**3 + n*o**2 - 2*o**3 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -154, -168, -168, -148, -102, -24, 92, 252?\n\"Answer: b**3 + b**2 - 24*b - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-6) - 8\/6. Let n = -2 + 4. Find the second derivative of 0*y**i - y**n + y - 2*y**3 + y**2 wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -8\/3*p**3 - 1 + 3*p**2 + 5*p. Let b(f) = -23*f**2 + 17*f + 14. Let u be ((-40)\/8 + -12)*(-3 - -4). What is u*k(s) + 6*b(s)?\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*z - 1)*(2 - 3*z + 3*z - z**2 - z**2 + 0 + 0 + (-2 - 3 + 2)*(-z**2 + 0*z + 0*z)).\nAnswer: -5*z**3 - 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -78*j**3 + 161*j**2 + 21*j - 61. Calculate u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76993 (base 10) in base 6?\nAnswer: -1352241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cb (base 14) to base 6.\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*1*2 - (sqrt(1088) + -2*sqrt(1088) + 4 + sqrt(1088))**2 - ((1*(sqrt(1088)*2 - sqrt(1088)))**2 + sqrt(1088) + sqrt(1088) + -5)) + -1 + -2.\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10322280 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hscmhhjchcmh. Give prob of sequence hcjh.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0 + 0)*(4 - 3 + 1)*(7*l**4 + 0*l**4 + 0*l**4).\nAnswer: 28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - 64. Let y = 255 + u. Calculate the greatest common divisor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -522.\nAnswer: 1\/522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.82 + -17. Let b = r + 0.08. Sort b, -2\/7, 1\/5 in descending order.\nAnswer: 1\/5, b, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 3*j**2 - 11*j - 7. Let r(c) = c**2 + c**3 - 44*c + 45*c - 4*c**2 + 2*c**2. Let z(y) = f(y) + 2*r(y). Is z(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67194.\nAnswer: 2, 3, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 202.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -30*z + 8*z - 392 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -655726 - 0?\nAnswer: -655726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/((-7)\/(-58 - 12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052301 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1003 and -22.676?\nAnswer: -22744.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - n - 118 + 31 + (0*n + n + n)*(-2 + 0 + 1) to the form q + g*n and give q.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 129938 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110051241 (base 6) to base 5.\nAnswer: -1000410340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - (6 - 3))\/(-1). Suppose 3*n - 7 = 2*q, -n + 0*n + 4*q - 11 = a. Suppose 0*m - n*m + 90 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1804404 divided by 300734.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -8\/17, 3?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 30*f**2 - 29*f + 19. Let l be n(-29). Let j(x) = -9*x**2 + 9*x**2 + l*x**2. Let a(s) = -2*s. Give j(a(k)).\nAnswer: 76*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210044 + 366?\nAnswer: 210432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 1463?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 1. Let f(v) = v**3 + 5*v**2 - 4*v - 10. Let i be f(-2). Let z(j) = 5 + 7*j + 0 - i*j. Let u(q) = 5*o(q) - z(q). Let t(x) = x. Calculate t(u(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/28*7*21\/7*-6.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -15, -296*u + 299*u = -o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3007 and 194?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 4*k + 5*k - 1 - 420*k**3 - 9*k.\nAnswer: -420*k**3 - 4*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-2)\/(-6)*7*(-66)\/(-8085)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 208476669 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 51*o + 17250 = 0. Is 25 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -444?\nAnswer: -177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6776685 from 0.\nAnswer: 6776685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/15)\/(h\/(h\/(h\/h**(-18)))*h))\/(h**(-15)*h\/((h\/(h\/(h*h*h**(-4\/17))))\/h)) assuming h is positive.\nAnswer: h**(-1403\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. What is the third derivative of 7*m**3 + m**p - 7*m**3 + 2*m**2 + 3*m**3 wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**25*i\/i**(-14))\/(i**(2\/19))**(3\/4) assuming i is positive.\nAnswer: i**(1517\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 + -0.4.\nAnswer: -184.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*3*(-10)\/645. Let x = w - 104\/387. Let t(n) = -n**2 - 4*n. Let y be t(-5). What is the second smallest value in 5, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + -1 + 135\/((-270)\/(-284))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -21. Let i = l + 1. Let h = 0.27 + 0.03. Which is greater: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 6)*(2 + 0 - 3) + 4 - 1 - 1 + 2 + 0 + 1 + 1 + 2 - 2 + (1 - 1 - 1)*(1 - 2 + 0))*(2*c + 4*c - 4*c).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 713462465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3599 - 3577. Solve b*y + 58 = -8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -72, -78, -104, -162, -264, -422, -648?\n\"Answer: -2*a**3 + 2*a**2 + 2*a - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + -8 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/2 of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -15*o**3 + 781*o**2 - 49*o - 159. Calculate n(52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g = -4*g - 76 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3898, -3865, -3828, -3787, -3742, -3693, -3640?\nAnswer: -3583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 14*j**3 - 145*j**2\/2 - 225*j. What is the remainder when f(4) is divided by 61?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**2\/2 - 5*p - 34. Let c be z(-10). Solve -c*t - 3*l = l - 16, 8 = -2*t + 2*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:33 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2244600 rounded to the nearest ten thousand?\nAnswer: 2240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 33 (c) 3\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/16)\/((-2)\/(-44)). Let x(a) = -34*a + 1. Let f be x(-1). Suppose c + 5*d - 45 = -17, -4*d = 5*c - f. What is the greatest common divisor of t and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18291 and 1750567?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*m + 3087 = 2993 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2430, 0, 2, 0.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450677?\nAnswer: 450677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-40)\/2630*(-1)\/2). Let f = m - -381. Let t = f - 43. Is t a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + d - 1. Let t(w) = -w**2 + 4*w - 1. Let f(z) = -z - 5. Let p be f(-6). Suppose 0*l + o = -2*l - 8, l = -2*o - 7. Determine l*m(h) + p*t(h).\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c = 5*j - 44, -2*j - 2 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4*(sqrt(243) + -1)*5 + -6*((sqrt(243) - (sqrt(243) + 1)) + 0))*-3 + 1)**2.\nAnswer: -79920*sqrt(3) + 880276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208001780 divided by -21826.\nAnswer: 9530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8165*z**2 - 4*z + 964.\nAnswer: -16330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/19)\/p)\/p)\/p**(-1\/3)*p**5*p\/(p\/p**(-4)) assuming p is positive.\nAnswer: p**(-44\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - j - 36. Calculate m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 937\/4 + -234. Find n such that -1\/4*n + 0 - l*n**5 + 0*n**2 + 0*n**4 + 1\/2*n**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89749 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 992 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 - 197*z**2\/2 - 4274*z + 8944.\nAnswer: -(z - 2)*(z + 52)*(z + 344)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5046\/5 - 136567\/135. What is the common denominator of (1 + -4)\/((-81)\/26) and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + d + 25. Let a be b(-8). Let k = a + -58. What is the remainder when k is divided by 2*23\/4*2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 315, -12, -2, 1, 2, -1 in descending order.\nAnswer: 315, 2, 1, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 31, 34, 17, -26, -101, -214, -371?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4512 is divided by 73?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2, 4*k - 4 = 4*m - 0. Suppose -m = 3*l - 13. Solve 2*y - 2*o + l = 0, -o = -3*y - 4*o + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108132677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 492*q + 589*q - 1508*q to p*q + f and give p.\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 2*d - y - 8, 2*d = 4*y + 12. Sort 4, -3, 3, d.\nAnswer: -3, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44a (base 16) in base 8?\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 2. Let y(z) = z**3 + z**2 + 1. Let n = 127 + -129. What is n*y(p) + x(p)?\nAnswer: -2*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5789\/1233 - 34\/411. Let w be 13522\/780 + (-2 - -4). Let q = w + -1\/390. Calculate the common denominator of q and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -480, -482?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 43, 1\/4, 4, 2\/731, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**2*m**4 + 2*l**2*m - 1198*l*m**4 - l*m + 18*l + 4*m**4 + 133*m**2 - 49*m wrt m?\nAnswer: 96*l**2*m - 28752*l*m + 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 5. Let f be (-2)\/v - 25\/(-15). What is the second derivative of -2*j**2 + 4*j**3 - j + 2*j**f + j**3 wrt j?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 7*k**2 + 18*k + 13. Let g(q) = -2*q**2 + 1 + 2*q**3 - 5*q**2 + q - q**3. What is the remainder when f(-9) is divided by g(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -14*k - 6. Let t(c) be the second derivative of 4*c**3\/3 - 16*c**2 + 2*c - 16. Let f be t(5). Let j(i) = -5*i - 2. Calculate f*j(r) - 3*p(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-14)*128\/(-144).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 61 = -33 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.5 to 0 decimal places.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5986 is divided by 71.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -35*c**5 + 200*c**4 - 360*c**3 + 160*c**2 + 80*c = 0?\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 715 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 o when four letters picked without replacement from osooiiosiosss.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -812*u = -3254 - 17046 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9864344 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d**3 + 6\/11*d**2 - 2\/11*d**4 + 0 + 4\/11*d = 0. What is d?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.9315 and 31114?\nAnswer: 31116.9315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 30*w - 2892. Calculate the smallest common multiple of w and 760.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (28\/140)\/(4\/(-465)) and (-4)\/(-20) - 42\/(-890).\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 greater than -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 15. Suppose 0 = -3*u + 2*l + 10, r*u - 1 + 3 = -5*l. Let n be (4\/(-8))\/(u\/(-8)). Solve -b = 4*b + n*s + 11, -3*b - 4*s - 1 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596842 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**7\/3150 - n**6\/900 - n**5\/75 - n**4\/8 - 6*n**2. Let t(g) be the second derivative of f(g). Suppose t(l) = 0. Calculate l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 6. Let s(d) = -16*d + 32. What is -5*l(c) - s(c)?\nAnswer: 11*c - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5400c (base 13) in base 12?\nAnswer: -73899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -7*h + a - 22, -4*a = -67*h - 124*h + 192*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.2236 centuries in millennia?\nAnswer: 43.12236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 827439 + -5?\nAnswer: 827434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 53.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22644 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958 is divided by (-706)\/(-11) - 14\/(-231)*-3.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.08 (b) -4 (c) 3 (d) 2 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/10929?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 31*k + 6. What is a(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 4. Let b = 0 - 3. Suppose 15 = -2*d + k, -d - 1 - 3 = 3*k. Let h(l) = -4*l**2 - 9. Determine b*h(u) + d*y(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -r + 15, 3*r + 40 = -r + 5*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1625?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 4. Let a(x) = -2*x - 7. Let t be a(-6). Suppose t*s + 5 = -20. Calculate j(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 4. Let t be l(0). Let k = t - 5. Which is the closest to 0? (a) -0.2 (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 0.5, 0, 0.0862 in descending order.\nAnswer: 5, 0.5, 0.0862, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 878*u**2 + 284*u + 281. Calculate m(-1).\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**4 + 10*n**3 - 68*n**2 - 236*n - 140. Let f(x) = 3*x**4 - 19*x**3 + 136*x**2 + 467*x + 281. Let l(b) = 4*f(b) + 7*z(b). What is v in l(v) = 0?\nAnswer: -6, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 5 + 0 + 3*n - 1. Determine b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 1. Let p be (42\/35)\/(2 + 22\/(-10)). Let y be 0 - 0 - 2\/2. Let t(c) = 8*c - 7. Determine p*v(o) + y*t(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42751*p - 83487*p - 65672*p.\nAnswer: -106408*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 345\/105 - (-6)\/(-2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 0*s + 0*s)*(-4*s + 0 + 0)*(-26*s - 8*s - 27*s).\nAnswer: -976*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 7:03 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:48 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 g when three letters picked without replacement from qqgqgqqqgqg?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -136\/7 - 194\/7*v**2 + 416\/7*v + 10\/7*v**3.\nAnswer: 2*(v - 17)*(v - 2)*(5*v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 9 + -4 + 3 + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/4 + (-4 - -4). Solve 4*z**2 - 5*z + 3 + z**d - 13 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 464 + 100 = 0. Let w = q + -549. Solve -4*j = j - w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 5317880.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46510 + -443291. Let q = c - -1058781. What is q rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - -83. What is the highest common factor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27962*p - 484 = 55944*p - 27971*p for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 = 5. Suppose -5*n = -2*n + 5*l - 19, -5*n - o*l + 19 = 0. Suppose -n*y - u + 117 = -4*u, -4*y + 172 = 4*u. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.9. Let x be (2\/22)\/(1\/(-6)). Let f = x + 7\/33. Which is the closest to -1\/3? (a) h (b) f (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 1, h: 1, z: 1, t: 1}. Give prob of sequence zic.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3872)\/(-224) + (22 - 37)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 91122651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 1, f: 7, r: 4, b: 2}. Give prob of picking 2 h.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 37483459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-17)*l*l**(-1\/4)*l**(-28)\/(l\/(l**(10\/11)*l)*l))**46 assuming l is positive.\nAnswer: l**(-44873\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 605.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-108)\/18 - -5. Factor 1\/5*a**4 + 147\/5*a**2 + 21\/5*a**s + 0 + 343\/5*a.\nAnswer: a*(a + 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8930?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -i. Let j be 3\/3 + -1 - i. Find the third derivative of -3*p**j + 2*p**3 - 6*p**3 + p**3 wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 + 2*n**3 - n.\nAnswer: -n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-692)\/(-344) - 2)\/(3\/428). Let k = -17567\/2580 + d. Find the common denominator of k and 33\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 52605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -10*u + 42. Let b be (0 + 2 + 4\/u)*10. Calculate the highest common divisor of 21 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453421 is divided by 136.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39520669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 308*0.08\nAnswer: 24.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 6)*132\/(-24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p. Let r(a) = -17*a + 13*a**2 - 20*a**2 + 17*a. Give r(n(j)).\nAnswer: -448*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 8*x**2 + 6*x + 10. Let a be v(7). Suppose -3*n = -5*n + 2. Let g = n + a. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 m, and 1 b when three letters picked without replacement from {m: 1, c: 4, b: 6, t: 4, j: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2420 divided by 25.\nAnswer: 484\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 - 12*q**3 - 4*q**2 + 12*q + 8.\nAnswer: -4*(q - 1)*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16915 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 + 2.5. Sort -5, i, 4 in increasing order.\nAnswer: -5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 25. Let t = -21 + 8. Let s be p(t). What is the lowest common multiple of 5 - 3\/s*-4 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2204 - 2152. What is the remainder when 342 is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-8\/5)\/k)**(-34)\/(k**(-4\/5))**(-11) assuming k is positive.\nAnswer: k**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o + 175. Let v be n(35). Let q(w) = w**2 + 3*w - 8. Let t be q(v). Let a be (2\/8*1)\/1. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6325586537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + g**4 + 4*g + (-57 + 14 + 23)*(2*g**2 + g**2 - 6*g**2)*(g**2 + 2*g - 2*g)*(-5 + 0 - 1).\nAnswer: -359*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 360 - 360. Let d(t) = -t + 1. Let r be d(-1). Solve b*z - 10 = -r*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in -1\/3, 2\/19, 2\/3061?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5184, 5299, 5500, 5793, 6184, 6679, 7284, 8005?\n\"Answer: n**3 + 37*n**2 - 3*n + 5149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((3*sqrt(27) + sqrt(6)\/sqrt(2) + 0)**2 + -1 - ((-2 + sqrt(363))*-5 + 4)).\nAnswer: 55*sqrt(3) + 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 5*w. Suppose 5*u = -t + 24, -w*t - 24 = -2*u - 2*u. Which is the nearest to t? (a) -0.4 (b) 1 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-13)\/15)\/((-8)\/(-84)). Let n = y - -16\/5. What is the common denominator of 3\/(-10)*(-1885)\/78 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-90))\/((-23)\/(-414)). Let f be (-6)\/(-15) + 0 + 0. Determine o so that m*o**2 - f + 2\/5*o = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57842, 57846, 57850?\nAnswer: 57854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*z - 9, -2*a + 7*a - 3 = -z. Suppose a = u - 6 + 3. Suppose -u*v = -2*v - 22. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530 (base 8) in base 7?\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.2 + 10. Suppose -4*m + 13 = 1. Put 1\/7, m, t in descending order.\nAnswer: m, 1\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**3 - 16*m**2 = 0. What is m?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r*r*r**(-2\/15))\/r)))**(11\/4) assuming r is positive.\nAnswer: r**(143\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/3 (b) 4 (c) 239\/5 (d) -1\/5 (e) -2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*x - 180 = 0, 2*p + 4*x + x - 420 = 0. Suppose -3*f - z = -p, -3*z = f - z - 75. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9.00002. What is y rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/2*1*(-3)\/5. Solve 0 = -4*y + 4*m + 9 + n, -15 = -5*y - 3*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3162*a**5 + 3472*a**2 - 5906*a**2 + 5191*a**2 wrt a.\nAnswer: 189720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*s + 5*k - 15 = 108*s, 0 = 3*s - k + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 8, g: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 277863 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((3 - 3) + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029.41 rounded to the nearest 10?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7377*p**2*v + 9*p*v**2 + p*v + 195721*v**2 wrt p?\nAnswer: 14754*p*v + 9*v**2 + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 33*x**2 - 4*x - 34*x**2 - 3 + 0. Give j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-30))\/(1\/12). Suppose -3*f - 6213 + 568 = -4*g, 0 = k*g - 4*f - 5640. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 24*h - 61 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 16*u + 19. Let f(d) = d**3 - 2*d**2 + 5*d - 7. Let w be f(3). Let y be m(w). Suppose a + y*a = 573. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**5 - 127*m**4 - 49*m**3 + 2*m**2 + 41018*m.\nAnswer: 60*m**2 - 3048*m - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-7 + 7 - 7*o**2) + (33 - 33 + 25*o)*(3*o - 3*o - o).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 46 = p, -4*w = -2*p + w + 78. Suppose -114 = 4*u + 58. Let q = -28 - u. What is the remainder when p is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-2))\/(4*(6\/(-15))\/(2472\/(-19570)))\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -bc97 (base 14) to base 15\nAnswer: -9a2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20199 + -13?\nAnswer: 20186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2584 and 1159741?\nAnswer: 157724776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 880 = -4*c, -3*w + 590 + 320 = 2*c. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666 = -2828*g + 2902*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 13*y + 7. Let n be w(12). Let i = 9 + n. Suppose 6*l = -22 + 46. Is l bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5181 divided by -1727.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 477 and 3049779.\nAnswer: 9149337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -2.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -6, 0.3, -0.278 in decreasing order.\nAnswer: 0.4, 0.3, -0.278, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -76, -153, -230?\n\"Answer: -77*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*y + 12749616 = 62*y. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9132 * -0.2.\nAnswer: 1826.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21354)\/(-17795) - 47\/10?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47364 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3149\/1116 + 59\/186. Calculate the common denominator of a and 89\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1152134 (base 6) to base 5.\nAnswer: -3431102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31282 - -13483. What are the prime factors of g?\nAnswer: 5, 7, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 - 3. Let b(v) = 21*v**2 - 9. Let a(z) = -b(z) + 3*y(z). Let h(f) = -f**2 + 968. What is a(h(q))?\nAnswer: -3*q**4 + 5808*q**2 - 2811072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 601 = -4*a + 2*a, a - 598 = -m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 79 and 77 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 3*g**2 - g + 6. Let d be y(-5). Let n = d - -44. Solve 5*h - 2*h - 4*q + 8 = 0, 25 = -n*h - 5*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 12 = -11*i. Suppose -i*z - 5*g = -129, -z + 4*g + 0*g = -43. Suppose 5 + z = 2*s. What is the remainder when 70 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -918, -4, -2.\nAnswer: -918, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0 + 0)*(9*j - 9*j + 5*j**2 - 2 + 2 + 4*j**2 + (5 + 2 - 5)*(2*j**2 - 2 + 2)).\nAnswer: -13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40599, -81272, -121943, -162612, -203279?\nAnswer: -243944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*d + 7625, -2*q - 5*d - 513 = -3548. What are the prime factors of q?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 187879633, 187879628, 187879621, 187879612, 187879601, 187879588?\n\"Answer: -s**2 - 2*s + 187879636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4653\/(-2508) + (5 - 372\/76)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5233231 - 22372\nAnswer: -5255603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/1)\/((-5)\/15*24\/(-16))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**(-4)))\/a)\/a*(a**(2\/7)*a)\/a*a)\/(a**(2\/7))**(-2\/11) assuming a is positive.\nAnswer: a**(-359\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 9 - 6. Suppose -u + 44 = x*u. Calculate the remainder when 31 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4 = d + i, 0 = 3*d + 4*i + 16. Let n be (-35)\/10 - 6\/(-2). Which is the nearest to -1? (a) -1 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/45 and -47\/5401224.\nAnswer: 27006120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c**3 + c**3 + 14*c**3)*(5062 + 5085 - 45*c - 10182) as x + g*c**2 + f*c**3 + y*c + z*c**4 and give f.\nAnswer: -770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322 by -318355.\nAnswer: 322\/318355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 5.7175 and -1\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3\/5 + 54*s**2 = 0 for s.\nAnswer: -90, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -37*o**2. Let d be (12 - 40\/30 - 10)*6. Let h(w) be the second derivative of 1\/12*w**d + 0*w**2 + 25*w + 0*w**3 + 0. What is h(a(j))?\nAnswer: 1369*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9*(1\/(-3))\/(22\/110)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.3571394 to 3 decimal places.\nAnswer: 25.357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2238230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 14 + -11 - (-2 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*r**2 - 246*r + 27 = 0. What is r?\nAnswer: 1\/9, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d + 185. Let c(p) = 4*p + 123. Calculate 8*c(k) - 5*g(k).\nAnswer: 2*k + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/10 - (-66)\/(-110)) + (-1 - -1801). What is the highest common factor of p and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600c (base 14) to base 13.\nAnswer: 7665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/(-10*1\/(-30)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86*a**3 - 184.\nAnswer: -258*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*m = 19, -r + 4*r = -3*m - 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 158 - 152 = -10*m - 330 + 148, 131 = -5*m + 4*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1339204.\nAnswer: -2678408","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 246 - 156 = 0. Calculate the remainder when s is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -253, -3, -14, 2\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 5*s**2 + s + 12. What is f(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1327375\/6 + -221230. Let l = -0.5 + 0.2. Let f = l - -0.2. Is f less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 - n**2 + 5*n**2 + 3*n - n**3 - 3*n**2 to the form q*n**4 + r*n**3 + u + d*n + x*n**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 4 - -16 - (0 - -5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(5) + 1)**2 - sqrt(5)) - -3*(sqrt(5) + -1) - (-1*(sqrt(5) - (1 + sqrt(500))))**2.\nAnswer: -397 - 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 29*s**4\/24 - s**3\/2 - 3*s**2 + 12. What is the tens digit of h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Let b(q) = -5*q - 211. Let m be b(-43). Solve 5*g + n = m*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = 3*b + 2*x, 2*x = 2*b + 6. Let f(g) = -g - 1. Let u(p) = 62*p + 4. Let d(w) = -3*f(w) - u(w). Is d(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 9:52 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95530.07cm in kilometers?\nAnswer: 0.9553007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 34\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1796, -1783, -1772, -1763, -1756, -1751, -1748?\n\"Answer: -s**2 + 16*s - 1811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 7*t**2. Let y be z(-7). Let r = -3.54 - -3.4532. Let m = -0.0068 - r. Which is the fourth biggest value? (a) -2 (b) y (c) m (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 175aa - 0?\nAnswer: 175aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 6*c**2 + 3*c - 1. Give z(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*p**2 + 293*p**2 - 100*p**2 - 95*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 0.5, -838107, -3, 4?\nAnswer: -838107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016187638 to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 431*x**4 + 52*x**3 - x**2 - 26258 wrt x.\nAnswer: 10344*x + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181872 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 7:21 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14941295 is divided by 73.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*z + 1, 18*d = 16*d - 3*z - 1. Suppose -s = -2*y + 11632 - 1335, -d*y + 20573 = 5*s. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 40. Let v(g) be the first derivative of 107\/3*g**3 + 4*g + a*g**2 - 2 + 15*g**5 + 295\/8*g**4. Determine b so that v(b) = 0.\nAnswer: -2\/3, -1\/2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by 4.\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus 4281592044?\nAnswer: 4281592056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 22*c - 212 + 5 = -43*c. Suppose -4*n - 42 = -6*n. What is the remainder when n is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.062 - -6.438. Let i = -6.50005 + n. What is i rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 683635*k + 66329*k - 76874*k.\nAnswer: 673090*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 - 3*s**2 + 16*s + 34. Let k be p(-2). Let x(y) = -y**2 + 21*y - 95. Determine x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-16)*(-4)\/((-48)\/(-4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -11380.928601824?\nAnswer: 11375.928601824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 740 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(-1\/3)\/g)**(-2) assuming g is positive.\nAnswer: g**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202660244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -7. Let s be 6*j*1 + 3. Let b = 3 - s. What is the remainder when 17 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 67 = 1. Suppose 3*h - 24 - 30 = -5*v, -3*h + 5*v + 54 = 0. Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/30 and 149\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.1, 4\/7, -1, 62?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171514278, 171514295, 171514326, 171514377, 171514454, 171514563, 171514710, 171514901?\nAnswer: 171515142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -656, -894, -818, -428, 276, 1294, 2626?\nAnswer: 4272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, d: 8, a: 1}. What is prob of picking 1 a and 2 j?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1385*b - 2115*b - 2015*b - 996*b + 1601*b to j*b + u and give j.\nAnswer: -4910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-30)*((-8)\/16 + 5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -16. Let u = f + 39. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1577, -3102, -4613, -6104, -7569, -9002, -10397, -11748?\nAnswer: -13049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -13 - (5 - 12)) + 58 + (1 - -3).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3211821 is divided by 562?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, q: 1, u: 10}. What is prob of picking 1 q and 1 u?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from mprmyeqpepqqm.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -7*f - 0. Solve -3*b + f = -2*k, 0*b + 2*b = -4*k + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2667, 1\/3, -1, -3\/188.\nAnswer: -1, -3\/188, 1\/3, 2667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7248, -29027, -65326, -116145, -181484, -261343, -355722?\nAnswer: -464621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 15 = 5*f. Let i be (-24)\/18 + 2\/f. Is i\/(0 + -2)*67 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 6*r**2 + 5. Let g be i(7). Let u be 2\/9 - 228\/g. What is the tens digit of u\/(-3)*150\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4215715*w + 3614303.\nAnswer: -4215715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m - 2 - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*v + 8*v + 4*g - 5, -5*v + 3*g = 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + 0 + sqrt(325)*-2 - (-5 + sqrt(325) + -1 + sqrt(325))*-5*2)**2 + -2.\nAnswer: -10980*sqrt(13) + 109019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 0.054.\nAnswer: -0.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000011110011101 (base 2) to base 10.\nAnswer: 100253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -167104614*b**2. Let n(p) = 4*p**2. What is f(n(v))?\nAnswer: -2673673824*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4824 + -2 - (546\/(-13))\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 10*c**2 + 3*c - 8. Let s be n(-4). Let w = s + -76. Solve w = -0*g + 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-21)\/24*(-613656)\/39774.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s**4*s)\/s))\/s*s)\/(s*s**(-9)*s))\/(s\/(s\/s**(-2\/9)))**(-2\/17) assuming s is positive.\nAnswer: s**(608\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2503*c**2. Let p(u) = 6*u. Calculate q(p(j)).\nAnswer: 90108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446173833?\nAnswer: 3, 7, 113, 188021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504053 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -234.462 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 154209.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287010.\nAnswer: 2, 3, 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.15 - -2.15. Let v = 2.24 - 0.04. Let s = v + -2.2. What is the nearest to x in 0.01, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 136*t - 2586. Let u be j(19). Let v = -7\/27 + -2\/27. Which is the nearest to -0.3? (a) 5 (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33147 or 33243?\nAnswer: 33147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464488*i + 22*i**2 - 464488*i.\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187 - 184. Suppose -2*l = -9*l + d*l. Solve l = 6*r - 1 + 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -225 - -448. Suppose -3*g + j = -2*p + 6*p, -p + 32 = -4*g. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**2)\/((q**(3\/2)*q)\/q))**(-47))**(-2\/75))**(8\/9) assuming q is positive.\nAnswer: q**(376\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - 9. Let c = 9 - m. Let h = 459 - 263. Calculate the highest common divisor of c and h.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891186310 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2183.51 and -37.\nAnswer: 2146.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-150)\/4)\/(474\/(-7268)). Put r, -1, 1 in decreasing order.\nAnswer: r, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*q = 16, 2*n = 4*n + 2*q - 8. Suppose -3*p - 2*p + 1501 = -3*y, 3*p + y - 895 = n. Calculate the greatest common factor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*a - 11 = 2, -f - 5*a = 5. Let w(y) = y**3 - 4*y**2 - 5*y + 4. Let g be w(f). Suppose 5 = n - g. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70*(-6)\/96 - ((-759)\/(-23) + -39)?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*u = -2 - 18, 4*m = -4*u - 40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*3*(5994\/(-243) - -26)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 19*h. Let m(n) = 17*n + 11. Suppose 17*q - 22 = 19*q. Let o(c) = -6*c - 4. Let u(i) = q*o(i) - 4*m(i). Calculate u(l(z)).\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2472 - -2?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 633 - 1248 + 615 + 20641*x to i + w*x and give w.\nAnswer: 20641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 715609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -713 + 2555. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.966795 millennia in months?\nAnswer: 35601.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3696*c + 3680*c = 304 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + 2 - (-2 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/(1\/(-9)). Let n be 6\/(-27) + (-2768)\/(-144). Solve 15 - 19*c - n - c - 5*c**p - 7*c**3 - 28*c**2 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -134, -50, -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 2*x**4 + 26 + 0*x**4 + x**4 + 3*x**4 - 2*x**4 + (1 - 1 - 2)*(5*x**4 - 4*x**4 - 2*x**4) in the form i + l*x**4 + w*x**3 + n*x**2 + o*x and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3810, 12098, 20362, 28602, 36818, 45010, 53178?\nAnswer: 61322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 19 + 3, 24 = 4*k + 2*n. Let a be (2\/(-3))\/((-28)\/(-3318)) + k. Let c = -69 - a. Calculate the highest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001110 (base 2) to base 13\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q - 1. Let h = 8 - 6. Give b(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18900102 divided by 484618?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2578*d**3*n**3 - 145*d**3*n**2 + n**2 wrt n.\nAnswer: -15468*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3353 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (26\/(-4) + 9\/6)*-1. Let o be 67 + 24 + -1 + h. Let b = o + -536. What is b rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -49419, -49103, -48785, -48465, -48143, -47819?\n\"Answer: z**2 + 313*z - 49733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-11 - 0)) + 7 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - -1111?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -2, -5, 5, 2, -35 in increasing order.\nAnswer: -35, -5, -2, 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*o**2 + 3*o*q**2 + 201*q**2 wrt o?\nAnswer: 72*o + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.201895 to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -70820813 != -70820813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430804?\nAnswer: 2, 13, 17, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**4\/4 + 4*j**3 - 8*j**2 - 36*j - 71. Let q be t(-13). Solve u + q*m = -10, 0 = -2*u - 5*m - 0*m - 17 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.83 + -25. Let u = -0.03 + z. What is the third biggest value in -0.5, 0.1, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8568847 is divided by 46.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-64)\/8)\/64).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-2 + -8 + 0). Suppose -3*a = 4*h - 19 - 9, h - 3*a + 8 = 0. Suppose 2*q + 5*n + 25 = h*q, q = -5*n - w. Solve 1 = -2*t - q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 18*b + 1. Let q(g) = 37*g + 3. Let o(t) = -5*m(t) + 2*q(t). Is o(-1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 22 = 2. Suppose 4*u = 6*z - 2*z + 76, -l*z = 10. Calculate the remainder when u is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(42) + sqrt(378)) - sqrt(42)*-2*6)\/(sqrt(1350)*2).\nAnswer: 8*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2850000*j + 4. Let g be a(-4). Let b be -2 + (-3)\/((-6)\/g). What is b rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297594 is divided by 4273.\nAnswer: 2757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o = 152*o. Which is the closest to o? (a) 130 (b) -1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41837 + -4?\nAnswer: 41833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r + 20. Let c(k) = -4*k - 10. Let o(h) = -5*c(h) - 3*s(h). Let j be o(-9). What are the prime factors of 10\/(1 - j)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4 and 65\/160332.\nAnswer: 160332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/9 and 32\/1641.\nAnswer: 4923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ommmrmmroromrm. What is prob of picking 1 o and 1 r?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-489)\/(-2)*(196\/3)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 5)*(0 + 2). What is the highest common divisor of a and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-1)\/(-2)*3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*m + 229 - 229 + 2*m + 4 - 4 + 0 + 0 + m + (-2 + 1 + 0)*(3 - m - 3) to u*m + d and give u.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + (-1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*t + t - 34, -3*s + 130 = -5*t. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 - 8*d**2 + 3*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/1*15\/(-27). What is the biggest value in 0.1, r, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -303, -4, 2, -6, 3 in descending order.\nAnswer: 3, 2, -4, -6, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80799519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14, -1, 32, 91, 182, 311, 484, 707?\n\"Answer: a**3 + 4*a**2 - 6*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2865701 is divided by 955233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:40 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 l when three letters picked without replacement from dldddlddssdlddddldds.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184888, 369778, 554666, 739552, 924436, 1109318?\nAnswer: 1294198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 3*n + a + 872, 4*n + 2*a + 936 = 0. Let x = 122 + n. Let r = x + 185. What are the prime factors of r?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2447 + 146*j + 104*j + 1250 + 1200 + (-5 + 4 + 3)*(2*j + 0*j - j) to the form x*j + s and give x.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - q - q = -27, -2*c - 2*q = -44. Let i = 47 - c. Calculate the remainder when 118 is divided by i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:33 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(441)*-2)*2.\nAnswer: -sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 410*t - 188 = -406*t, 55 = -4*y + 4*t - 141 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 10*g**2 + 11*g - 11. Let b(p) = p**3 - 11*p**2 + 12*p - 14. Let z(o) = -4*b(o) + 5*t(o). What is z(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7597683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h - 18. Let f(m) = -m + 5. Let n be f(-5). Let x(w) = -w**3 + 10*w**2 - 5*w + 35. Let s be x(n). What are the prime factors of d(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.148, -21, 2, -2\/3, -4\/3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -73. Let k be 4\/6 + 8\/(-12). Solve -r + a = -k*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44678548 to the nearest integer?\nAnswer: 6684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 168\/5 (b) -0.21 (c) 119 (d) 0 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0, -3, -1, -5, -14 in descending order.\nAnswer: 0, -1, -3, -5, -14, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0.5. What is the closest to x in 0.3, 2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 75891, 75887, 75881, 75873, 75863, 75851, 75837?\n\"Answer: -b**2 - b + 75893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k\/((k**0*k)\/k))\/((k\/k**2)\/(k\/k**(-3\/10))) assuming k is positive.\nAnswer: k**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11117, 2, 1 in decreasing order.\nAnswer: 2, 1, -11117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from tjtjttttjsjtjj.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -31*y**2 + 2*y + 1. Let t(j) = -155*j**2 + 11*j + 6. Let x(z) = -11*q(z) + 2*t(z). Let g(a) = 2*a**2. Calculate g(x(i)).\nAnswer: 1922*i**4 + 124*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*a**3*w - 4*a**2*w - 2*a**2 + 558*a*w wrt a?\nAnswer: 666*a*w - 8*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 416 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by 147017?\nAnswer: 122\/147017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4 + 132*b - 245*b**2 + 246*b**2 + 168*b - 2.\nAnswer: b**2 + 300*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12992 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31731?\nAnswer: 3, 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by 116.\nAnswer: -23\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22022 and 2?\nAnswer: 22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p + 3*o, 0 = 5*p + o + 5 - 17. Let f(a) = 13 - 14 + a + 0*a**2 - 2*a**p. Let u be (-4)\/4*(1 + -2). Calculate f(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021810461 rounded to five dps?\nAnswer: -0.00218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/18)\/((-12038)\/468 - -26)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25543 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (41 - (-2 + -3)) - (24 + -18).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 157*h - 260742 - 74458. Calculate the remainder when h is divided by 100.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -64. Let o be (-24)\/16*10\/t. Solve 5*l + 4*y + 23 = 0, l - y - 3*y - o = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 5. Suppose v*b - c - 10775 = c, 3*b - 6476 = -c. Let r = b + -4457. What is r rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 116284163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9451 = -52*s + 6461. Let t be (-4)\/26 + s\/468. Factor 3\/2*o**2 - 1\/2*o**4 - t*o + 1\/2*o**3 - 1.\nAnswer: -(o - 2)*(o - 1)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 10:03 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -291, 11, 2\/17 in descending order.\nAnswer: 11, 2\/17, 0, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8e3faa (base 16) to base 12\nAnswer: 3156ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6480, -15082, -25804, -38646?\nAnswer: -53608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 - (-1 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + n**2 + 2*n)*(133*n - 132*n - 7 + 60) in the form y*n + p*n**2 + t + u*n**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Let l = 4 + g. Suppose 0*x = 5*x - 20. Solve 0 = x*h + l + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 - 612536*n\/3 - 816720.\nAnswer: (n - 612540)*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.2, -1.6, 0.9 in descending order.\nAnswer: 0.9, 0.5, -0.2, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 + 2*x + 3. Determine o(-4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27610 - 27610 + 15*p**2.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 191, -1, 1, 1\/6, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46c (base 13) to base 10.\nAnswer: -766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/11 + 41704*l\/11 + 4653786\/11 = 0 for l.\nAnswer: -111, 20963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -90.9473.\nAnswer: 36.37892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -129, -96, -27, 78, 219?\n\"Answer: 18*p**2 - 21*p - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877 is divided by 135?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21780 is divided by 1037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -9336?\nAnswer: 9338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -20. Let j = w + 5. Sort 2\/9, j, 3 in descending order.\nAnswer: 3, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121653558 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1750 divided by 7088\nAnswer: 875\/3544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 22*p + 19. Let b be m(-19). Let y = b + 46. Calculate the highest common divisor of 56 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acao when four letters picked without replacement from chmahhaho?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 16624435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37308195 to the nearest integer?\nAnswer: 6108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*s - 88*s + 3431 + 1471 = 0 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 1872.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -20*o - 36. Let j be t(-6). Suppose -j = -6*q + 18. What is the greatest common divisor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 + 390\/40 + -2. Let l(v) = 2*v - 2. Let d be l(3). Suppose d*q - 8 + 4 = 0. What is the nearest to c in -2\/7, q, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(0 + 16\/12). Let i(f) = -f**3 - 3*f**2 + 5*f + 2. Give i(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 36*k**2 + 15*k + 32. Calculate the remainder when q(36) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013522070165 to five dps.\nAnswer: 0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/60 + 1940*m**2. Let y(z) = 39*z. Let n(f) = -8*f. Let b(v) = 24*n(v) + 5*y(v). Calculate b(u(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-96)\/(-18)) + 4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52501630 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 8}. Give prob of picking 1 i and 1 p.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -22*h + 9*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*p - 19 = 0, -2*o - 3*p = -12 + 1. Differentiate -13*r + 1 - 4*r**2 + o*r wrt r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101671?\nAnswer: 293, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/5 + 824*h**3\/5 - 127308*h**2\/5 + 8741816*h\/5 - 225101762\/5.\nAnswer: -2*(h - 103)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1926 divided by 111326?\nAnswer: -963\/55663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 116598, 116612, 116626, 116640?\n\"Answer: 14*a + 116584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**6\/120 - 7*f**5\/60 - f**4\/24 - 5*f**3\/6 - 85*f**2\/2 + 121*f. Let u(s) be the first derivative of h(s). Give u(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47311582 is divided by 3208?\nAnswer: 3206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 40*i - 18*i)*(0 - 16 + 3)*(-2 + 1 - 25*i + 29*i)*(4 - 2 - 3).\nAnswer: 1352*i**2 - 338*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675542.8mg to nanograms.\nAnswer: 675542800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7*-3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -112885855.\nAnswer: -112885855, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + d + 8, 0 = -5*v + 8*v - 3*d + 30. Which is bigger: v or -99\/10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 6*a**2 - 3*a - 7. Let l be v(-6). Let o = -9 + l. Solve 2*k - o*g - 17 = g, 2*g + 10 = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 - 3)*(-2040*s + 0*s**2 - 2*s**2 + 2044*s) as u*s + n*s**2 + p and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38455, -38442, -38419, -38386, -38343?\n\"Answer: 5*t**2 - 2*t - 38458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 5:32 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5 + 5. Suppose 2*w + 9 + 59 = 4*p, 0 = -p + 3*w + 17. Calculate the remainder when p is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5148336 by 1716112.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -41, -1, -162, 5, 21 in decreasing order.\nAnswer: 21, 5, 0, -1, -41, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23836, -47654, -71474, -95296, -119120, -142946, -166774?\nAnswer: -190604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 74316*i + 891644. Give q(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 830, 1839, 2848, 3857?\n\"Answer: 1009*c - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1505929, -1505925, -1505921?\n\"Answer: 4*q - 1505933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654 (base 9) in base 12?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 3, -0.6, 9, -17.2, -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmyzmmzzommm. Give prob of picking 2 m.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 4*w**3 - w**3)*(-21 + 21 - 9*w - w + 1 - 1 + (4*w - 6*w + w)*(3 - 1 + 0)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618715 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16.8, -2, -3, -16\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81830432.\nAnswer: 2, 2557201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 - 56. Suppose -s + 2*k = -t*s + 15, -k - 10 = -s. Suppose 2*l - 34 = -2*b, -s*l + 3*b - b = -92. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 0*k**2 - 18*k**3 - 3*k**2 - 2*k + 2*k**2 + 0 - 1. What is the remainder when 35 is divided by n(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 23834?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 694192 and 393536.\nAnswer: 397077824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180870390 and 690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93\/1899946 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66266 or 66260?\nAnswer: 66266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (6 - 3 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.5 - 5. Let u = 0.5 - i. What is the second biggest value in 0.1, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 19*t + 5. Let g = -3279 - -3260. Calculate i(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2944 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -9, -25, 2, 5.\nAnswer: -25, -9, -2\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2090 and 103\/63440.\nAnswer: 13258960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -18. Let o be 34\/10 + j\/15. Suppose o*z = 16 + 5. Calculate the greatest common factor of 21 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1089601 or -18523218\/17?\nAnswer: -1089601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/12 - (-1)\/4. Let q be (((-6)\/10)\/(-3))\/(112\/(-840)). Let j = 0.3 + -0.4. Which is the nearest to j? (a) g (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -264.5 to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 7*l - 2*l + 97, 4*l = 2*s - 182. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 + 131. List the prime factors of z.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36731 = -498*t - 22653 + 17552 for t.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 4 + 6*h + 3 - 2*h**2 + 2. Calculate d(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4015*y = -4108*y - 4371 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78678635 and 6743883?\nAnswer: 236035905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 17*x + 24. What is the units digit of h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-37)\/(-9842)*-28 - (-1)\/(38\/348616). Calculate the highest common factor of p and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -1434?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*a + 26 = 0, -4*a + 0*a - 12 = -j. Solve -2*y = -5*q + 4*q + 7, 3*y - 6 = -j*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j. Let c(u) = 7*u. Let r = 21 + -13. Suppose -4*a = -r, 5*m + 1 + 15 = -2*a. Calculate m*k(n) - 3*c(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 5*k - 11, 538*h = 536*h - 3*k - 20 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87058087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1198*i - 6986*i - 2430*i + 3.\nAnswer: -8218*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 10*k + 2. Suppose -1 = 2*n + 2*g + 1, -3*g - 9 = n. What is the remainder when n is divided by j(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:49 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 63*n**3 - 8*n**2 - 58*n + 336. What is the tens digit of s(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1946710 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 430763.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 7 = -f, -12*f + 4*j - 1 = -9*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g. Let l = 4 - g. Suppose -52*q = -49*q - 9. Solve 0 = -z + 5, q*n = n + l*z - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**3 - 7*z**2 - 12*z - 10. Determine u(-5).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*u**2 - 8*u**2 + 49*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 181*f + 1731. Calculate a(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28465428 and 20.\nAnswer: 142327140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322828*h**3 + 21*h**2 - 44*h**2 + 23*h**2.\nAnswer: 322828*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 9 + -6 - 2. Suppose 123 = 3*v + 5*i, r*i = -0*i - 12. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 29*c + 19. Let o be g(-14). Let a(q) = -3 - 3*q - 2*q - 3*q. Let w be a(-1). Solve 1 = 3*r + o*b, -w*r - 2*b = -6*b - 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -168? (a) 0 (b) -3\/8 (c) -24 (d) 3 (e) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 2*x. Suppose 5*r + 4 = 3*r. Let l(d) = -2*d**2 - 2*d. Let t(s) = r*l(s) - 3*m(s). Factor t(f).\nAnswer: f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/16, 545, 2?\nAnswer: 545","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1272 (b) 1\/4 (c) 4 (d) -0.2 (e) -4 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5762 (base 14) to base 11.\nAnswer: -10449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24032414 - -20033?\nAnswer: 24103002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 15 (b) 1\/9 (c) -14\/13 (d) -1.6 (e) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 4\/13 (c) -88.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 12438565\nAnswer: -4\/12438565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 48 + 4883*c + 48.\nAnswer: 4883*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6.489045us?\nAnswer: 0.0000000000751046875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5014, 40277, 136054, 322603, 630182, 1089049?\n\"Answer: 5043*d**3 - d**2 - 35*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i - 13. Let j be d(-9). Suppose 4*a = f + j - 1, 4*a + 2*f - 34 = 0. Solve 3*u + 4*y + 21 - 4 = 0, a = -4*y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 479 - 473. Suppose -i*b + 586 = -404. Calculate the highest common divisor of b and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-20))\/((-32)\/(-16)*(-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + (-104)\/20)\/((-55)\/(-25) - 2). Sort -1, -5, i, -3, 15.\nAnswer: i, -5, -3, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + 0*f)*(44 + 80 - 5)*(4*f + 5*f - 13*f)*(-2 + 1 - 1)*(-f - 2*f + f) - 3*f**3 + f**3 + 0*f**3.\nAnswer: 3806*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-2)\/(-1) - 2. Let j(b) be the third derivative of b**5\/60 + b**3\/6 + 8*b**2. Let f be j(g). Is 4 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53.018 - 53. Let f = -4.982 - s. Let j = 1 + -1. Which is the nearest to f? (a) 1\/3 (b) 2\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4)*-3)**2 - (sqrt(17) + (sqrt(17) - (sqrt(17) - (sqrt(272))**2)*-2)).\nAnswer: -4*sqrt(17) + 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**2\/2 + 131. Let w(b) = b - 3*b + b + 7*b. Give w(a(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 + 9*i**2 - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67250 + -67239. Let h = 339 - 132. What is the remainder when h is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 50637122 and 50637123 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 296243020 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/9368 and 109\/168624.\nAnswer: 168624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {y: 1, x: 2, o: 1, n: 1, f: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 9) to base 15.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 5. Let n be l(4). Is 16 a factor of ((-24)\/n)\/1*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l. Let u(m) = 540288*m + 1152. Let d(q) = -2344*q - 5. Let z(o) = 1152*d(o) + 5*u(o). Calculate s(z(x)).\nAnswer: 3456*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/10 + 6*z**2 + 61*z\/10.\nAnswer: -z*(z - 61)*(z + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 279037?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4545*b = 4217*b - 22960 for b.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let g(h) = -2*h**2 + 7*h + 7. Let i be 0 + (-5)\/(5\/(-2)). Let y(c) = 0 + 3*c - i + 5 - c**2. Let k(f) = -6*g(f) + 14*y(f). What is k(o(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31748 + -31678. Suppose r + 735 = 4*r. What is the highest common factor of n and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y - 69. What is q(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 961*m**5\/5 + 2121*m**2\/2 + 1278. Find the second derivative of h(v) wrt v.\nAnswer: 11532*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**3 - 4269*s**2 + 3749346*s + 3753616 = 0.\nAnswer: -1, 1238, 3032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*c = 2, -14*d + 16*d + 2*c = 2. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p + 22. Let m be q(-10). Suppose 0 = 4*z - 2*j - m - 4, -4*z + 9 = -j. Let t(c) = 12*c**3 + 2*c**2 + 5. Is t(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.10537 and 459.888.\nAnswer: 459.99337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -234 - 2512624?\nAnswer: -2513161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**(-15))\/o))**11 assuming o is positive.\nAnswer: o**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 39) + (6 - -1) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*i)*((-4 + 1 + 4)*(2 + 1 - 4) - 21 - 3 - 22) to the form g + k*i and give k.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 w, and 1 j when three letters picked without replacement from bwbbbbwjwbbjjw?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/20*(-25)\/(-10). What is the biggest value in 2, 120\/7, r?\nAnswer: 120\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52.8067 + -2.23446.\nAnswer: 50.57224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 4*m**2 - 5*m - 2. Let i be x(-3). Suppose i*y - 1 = 3. Solve -y - 1 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*x**2 + 242344*x - 48468.\nAnswer: -4*(x - 12117)*(5*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.9 - -7.95. Let l = j - 0.05. Let y be 736\/46*1\/6. Which is the biggest value? (a) l (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -64. Suppose 0 = -3*f - 3, 5*k - 42 - 47 = -f. Is 9 a factor of 450\/21 + k\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5172*l**2 + 155164*l + 95. What is v(-30)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10924763, 21849528, 32774293, 43699058, 54623823, 65548588?\nAnswer: 76473353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {a: 2, m: 1, s: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.3. Let n = -23 + 18. What is the closest to c in 3\/5, n, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6374.005cm to millimeters.\nAnswer: 63740.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 33 = -f, -12475 + 12803 = -41*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -6. Let l = -2.013 + 3.813. What is the third biggest value in l, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3722*h**4 - 3*h**3 + 38*h**2 - 307071597 with respect to h.\nAnswer: 14888*h**3 - 9*h**2 + 76*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (429\/63)\/(-11) + (-2)\/(-6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + (sqrt(264)\/sqrt(6))**2 + 0 - (sqrt(44) + -1 + 1) - ((sqrt(4400)*1 + 3)**2 + -2*sqrt(4400) + 3).\nAnswer: -4368 - 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**4\/24 + 2*c**3 + c**2. Let r be 180 + (12 - (-1 - -8)). Suppose 0 = 18*h + r - 59. What is j(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.517 or -2?\nAnswer: -0.517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4264379 divided by 33\nAnswer: 4264379\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13701632*u**4 + 14414246 wrt u?\nAnswer: -54806528*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(10)\/sqrt(2)) + -4 + sqrt(48) - (0 + sqrt(15)\/(sqrt(50)\/(sqrt(20)\/sqrt(2)))).\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -50\/83 (b) 90 (c) 3 (d) -5\/3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 3:44 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(425) + 0))**2 + 3.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7237643 centuries?\nAnswer: 0.07237643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 3*g**2 - 2*g. Let r be d(-2). Let h = -16 + 12. Let b = r - h. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143203 divided by -591.\nAnswer: 143203\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 d when four letters picked without replacement from tftdttttdtfttdtftd?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0)**(35\/2)*l*l*l**(-1)*l*l*l*l**(-1)*l*l*l assuming l is positive.\nAnswer: l**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 29*x + 45350 = -33*x, 249446 = 11*w - x. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2712369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2 - (1 + -2)). Suppose t - y - 55003 = 0, -60878 - 104119 = -m*t - y. Round t to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 548, 916, 1124, 1172, 1060, 788?\n\"Answer: -80*t**2 + 608*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/13 (b) -0.036222 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -8. Let a = 44 + -50. Let p be a\/(-9)*(2 + 1). Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 3, 0.4, 2, 27.1, -0.5.\nAnswer: -0.5, -0.11, 0.4, 2, 3, 27.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 449, 450, 451?\n\"Answer: m + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 61 = -477. Suppose -4*k - 3*n + 218 = 0, -3*k + 123 + 44 = 4*n. Calculate the remainder when m is divided by k.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c - 39*c = 48 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230782095 to the nearest integer?\nAnswer: 15192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -31 (b) -2\/9 (c) -3 (d) 132.6 (e) -0.1 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3.098652 milligrams?\nAnswer: 0.000000003098652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826770 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25b1 + 3?\nAnswer: 25b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9230.\nAnswer: 2, 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*m - 11 - 4, 0 = -5*m + 25. Let i(n) = -6*n - 12. Let l be i(-8). Suppose y - 5*y = l. Put o, 5, y in ascending order.\nAnswer: y, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10\/19 - -12\/95. Which is the third biggest value? (a) -5 (b) y (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111305?\nAnswer: 5, 113, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 51222, -24, 3 in ascending order.\nAnswer: -24, -4, 3, 51222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -13, -3 in increasing order.\nAnswer: -13, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/8)\/(63\/462). Let j = -37\/2 + y. Is 0 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4995 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1)*1 - -1. Suppose b = -w + 49249 + 25751. What is w rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8420, -8405, -8390?\nAnswer: -8375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -151*u**6\/6 + 585*u**2\/2 - 4*u - 29. Differentiate p(z) wrt z.\nAnswer: -3020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z + 4 = 0. Which is smaller: z or 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275107.\nAnswer: 7, 39301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*k = -156*k - 8298. What are the prime factors of k?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 319?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Let t(q) = 5*q - 20. Let g be t(5). Suppose 0*v + 3*b + 8 = -y*v, 3*v + g*b = -14. Solve a - v = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217510?\nAnswer: 2, 5, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7782 (b) -284 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**6\/360 + u**5\/20 + u**4\/6 + u**3\/2 - 3*u**2\/2 - 2*u + 2. Let z(y) be the second derivative of n(y). What is z(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 47\/60071 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-195)*(-75)\/210. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 13*g + 3. Let x be u(-13). Let v(o) = 11*o**2 + o**x - 6 + 4321*o - 4321*o. Let p be -2*4\/4 + -9. Determine v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 4110?\nAnswer: 4110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -12. Let x(i) = -4*i**3 + 8*i**2 - 7*i - 2. Let b(z) = -7*z**3 + 15*z**2 - 13*z - 3. Let j(v) = n*b(v) - 5*x(v). Calculate j(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 + 854*w**2 - 2 + 6.\nAnswer: 854*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*i + 3. Let s be 0 + i - 72\/4. Let q = 14 + s. Let c(u) = -2*u + 2. Let t(y) = -y + 1. Give q*c(a) + 11*t(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 8*k**2 - 17*k + 2. What is the units digit of w(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420119043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.82 * -10.\nAnswer: 28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 30 = 4554*g - 4553*g, -9*n - 81 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 47\/8. What is the fourth biggest value in -2\/15, d, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 62*j. Let z(f) = 2*f**2. What is q(z(u))?\nAnswer: 124*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7828 by 4.\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/12 and 61\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxhuhhhyxxhu. Give prob of sequence hhxh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z + 5*v = -85, 0 = -4*z + 5*v - 171 + 181 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*n**2*r*v**3 - 4*n**2*r*v**2 + 3*n**2*r*v + 2*n*r*v**2 + 43*n*v**3 - 2*n*v - 32*r*v**3 - 2*r*v + v**3 - 58*v**2 wrt v?\nAnswer: 126*n**2*r + 258*n - 192*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**2*p**2 + h**2*p + 565*h**2 + 352*h*p + 2*h - 12400466*p**3 wrt p?\nAnswer: -2*h**2 - 74402796*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 13. Suppose 5*l + 44 = 129. Let n = l + d. Calculate the lowest common multiple of 5 and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.61 + -3.39. Sort 0.1, -18\/11, l.\nAnswer: l, -18\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/20 + (-9)\/(-4). Suppose 0 = 4*i + 4*u + 24, -4*i + 3*i = -t*u + 3. Let b(c) = -c + 3. What is the units digit of b(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -1\/6, -0.07, 294 in ascending order.\nAnswer: -4\/5, -1\/6, -0.07, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.167 and 2089.\nAnswer: 2089.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from ciifiiomifiicv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 57965 divided by 57965\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 + (-4 - 0) - -20) + (-1 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**15\/g)\/(g*g*g\/g**(-16))*(g**(-2\/43))**(-1\/10) assuming g is positive.\nAnswer: g**(-1074\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 1261575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2045\/720 - (-38)\/171. Let j(t) be the first derivative of -u*t**4 - 3 + 33\/8*t**2 + 9\/4*t + 7\/12*t**3. Factor j(m).\nAnswer: -(m - 1)*(7*m + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(252)*-2*-4 - (sqrt(252) - (-1 + -1*sqrt(252)))))**2.\nAnswer: -288*sqrt(7) + 36292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:50 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 1:34 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4558\/3 + 1518. Let y = 260 + -262. Which is the nearest to -38? (a) y (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 + b**4 - 6*b**4 + (35*b**3 + 8*b**3 + 7*b**3)*(-7*b + 3 - 3).\nAnswer: -352*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i + 78 = 0. Calculate the greatest common factor of 156 and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 10*q + 11. Let p be v(11). Factor p*o**2 - 2*o**2 - 2*o**2 + 2*o**3 - 2 - 2*o**2 + 6*o.\nAnswer: 2*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/(-9))\/10 - 1058\/(-18). Suppose -2*m + o = -m - 3*s, 3*s - 127 = -2*m. Let a(n) = 62 + 7*n**2 - m. Let f(l) = -l**2. Determine f(a(i)).\nAnswer: -49*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6484440 = -94*g - 26*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 731*b**2 + 0*b - 728*b**2 + 0*b. Let v(x) = -16 + 61*x**2 + 34*x**2 - 93*x**2. Give v(u(r)).\nAnswer: 18*r**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2297 + 2306. Solve 23*c - a = 20*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 8. Let l be n(-12). Suppose -l*a = -6 - 10. Suppose -a*s = -0 - 48. Solve s = -0*b + 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 7) + (3 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -785*16\/(-60)*3 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95*y**3 - 25*y**3 - 51*y**3 + (-2*y**3 + 3*y**3 - 3*y**3)*(0 + 1 + 0) + 3*y**3 - 2*y**3 - 2*y**3 + 2*y**3 + 0*y**3 - 4*y**3.\nAnswer: -176*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 24 = -5*i, 64*y - 22 + 24 = 63*y - 3*i + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330596887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 5 + 49*c**2 + 4.\nAnswer: 49*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/95)\/((-14)\/90335*-29).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85904 is divided by 137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -161.777681 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(33)\/((-3*sqrt(27))\/sqrt(9))*3 + -5)*3)**2*6.\nAnswer: 324*sqrt(11) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/3*(-645)\/12. Let m = l + -73. Which is greater: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiryyziyzziiyrii. What is prob of sequence rw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*m + 89 = -120*m - 4*p, -p = 7*m - 151. Calculate the remainder when 13059 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007154700117 rounded to 5 decimal places?\nAnswer: -0.00715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-5 + 2) - 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 18. Let z be v(6). Suppose 3*b - 6 = 5*u + z, -3*u = -4*b + 24. What is the remainder when 7 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*p + 2 = -4, 3*o + 12 = -4*p. Suppose 5*z = -o*z + 25. Suppose -z*b - 4 + 9 = 0, 26 = 3*t + 2*b. Solve -4*y - t = -i - i, y = 5*i + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60784 and 24302.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 744557184 divided by 3024?\nAnswer: 246216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -98.6+-7.524\nAnswer: -106.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2843 + 6481. Does 42 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 11. Suppose 0 = -4*k + a - 4. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -141\/356510 and 69\/356510?\nAnswer: 356510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06774 to 3 dps.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -49*l - 15. Let a(f) = 73*f + 20. Determine -5*a(x) - 7*b(x).\nAnswer: -22*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3788 - 3792. Sort d, -0.4, 32\/7, -1 in descending order.\nAnswer: 32\/7, -0.4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57725561 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*k = -5*z + 67 - 23, -2*z = -3*k + 40 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -31433, -0.1, -4, -29, -2\/11, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -994352\/11 + 90458. Let v = r - 62. Find s such that 2\/11*s + v - 2\/11*s**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 7048*u + 215040.\nAnswer: -4*(u - 30)*(u + 1792)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (52 - 55)\/((-6)\/4). Let y(i) = 5*i + 2*i - i**2 + i + 2*i**x - 6*i. What is y(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261162 is divided by 29018.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/1700*289)\/(2\/8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13262488 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 + 17*u + 2. What is o(-9)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-96)\/120 + (-21)\/(-45))*(-1 + -17). Let c(f) = 3*f**3 - 17*f**2 + 2*f - 10. Give c(j).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 7 = 63. Let u = 26 - q. Suppose d + u = 2*r + 2*d, -5*d = -2*r + 28. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1686 + -1681. Let v(u) = u**3 - 3*u**2 - 10*u - 5. Calculate v(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.8 + 0.287?\nAnswer: 173.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -10 + 5 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/48)\/((-6)\/40). Solve 15 = 5*g, 5*x + d*g = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 56*z**2 + 50*z + 403. Let c be f(57). Solve -c*h + 2*v = 4, 2*v + 7 - 2 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.67 minus 3669276?\nAnswer: -3668621.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5557 + 0.1557. Sort r, 1\/219, 2\/13 in descending order.\nAnswer: 2\/13, 1\/219, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23351415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, x: 1, c: 2, m: 1}. Give prob of picking 1 k, 2 c, and 1 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b**2 - 2*b + 6. Let a(j) = -5*j**2 - 2*j + 5. Let d = 841 - 836. Suppose 20 = -0*n - 3*n - 2*i, 5*n = d*i. Determine n*a(r) + 3*o(r).\nAnswer: 2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/216720 and -109\/5418.\nAnswer: 216720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 41*m - 38*m)*(3 + 2*m**2 - 3) + m**3 + 0*m**2 + 0*m**2 in the form y*m**3 + t*m**2 + h*m + w and give y.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 90 + 142 = 0. Suppose -h - 10 = l*z, -h - 4*h = -5*z - 25. Which is smaller: h or -50\/3?\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73535742 - -4?\nAnswer: 73535746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12 and 108919874.\nAnswer: 108919886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - (7 - 3)) + 2. Suppose 5*f + 2*w - 354 = 0, 2*f - 4*f + y*w + 156 = 0. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = 4. Suppose -j*r = -r - 27. Let x = -55 + 154. What is the highest common divisor of r and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03062 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25070.\nAnswer: 2, 5, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-4)\/3*(-4752)\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 12530880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*x**2 + 12*x**2 - 7*x**2 - 7*x - 2*x**5 wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110317056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, -72\/7, -0.2, 0.2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03553 + 0.16447. Put t, -2\/13, -160, 0, 3 in descending order.\nAnswer: 3, t, 0, -2\/13, -160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 16 - (-7 - ((-10 - 11) + 7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.2 + -36. Let b = -0.8 - m. Which is greater: 0.27 or b?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 9. Suppose -2*l - 24 = -6*l - 4*z, l = z + 6. Suppose -s - l*p = -p - 4, -3*s - 3*p = -i. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {q: 4, n: 1, v: 1, f: 4, r: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 9:11 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*d**3 - 265*d**3 - 1056*d**3 - 7*d**3.\nAnswer: -1612*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 457676383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 11744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3180570?\nAnswer: 2, 3, 5, 106019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 - 6483*a**2 - 45102*a + 284328 = 0. Calculate a.\nAnswer: -2154, -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30612363 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s + 48*s + 168 = 107*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -42. Suppose s*p = 4*p + 2. Sort p, -10, 4.\nAnswer: -10, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 696495415 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*l**4*y + 14*l**3 + 2*l**2*y - 726*y with respect to l.\nAnswer: -116*l**3*y + 42*l**2 + 4*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -1, -13, -29, -49, -73, -101?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:37 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 25 - 41)*(d - d + 3*d).\nAnswer: -126*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 101001110000101001 (base 2) to base 14\nAnswer: 4649b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 67 = 5*s, 3*s = -r + 24 - 71. Suppose 0 = v + 2*v - 30. Let g be -2 + v*(-6)\/s. Solve -3*y - 1 - 3 = 2*z, -4*y - 6 = g*z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5210 + -1396. What are the prime factors of p?\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.56954 millennia in years?\nAnswer: 23569.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*j + 6 = -3*q, -8 = 4*q - j. Let h be (-2)\/(q - 0) - -1. Suppose 2*c = 5*c. Solve c = -4*i - h*n, 0 = -2*i + n - 0 - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 + -127. Let s = n + 29.2. Let p be (-8)\/6 - (-10)\/(-60). What is the nearest to -4 in p, -2\/7, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17297844 - -69838640. Let z = 95440796 - w. Suppose 5*l + 8*l + z = 0. What is l rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51318492, -102636983, -153955472, -205273959?\nAnswer: -256592444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2)*(3 - (-2 + 30)). Let g = 50 - u. Which is smaller: g or 9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-370)\/(-70) + (-2)\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.5 (b) -8 (c) 0.4 (d) -0.2006 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.09406+-104.95611\nAnswer: -105.05017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 - 0.156. Let b = q + -0.013901. Round b to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2. Let p(f) be the first derivative of f**2\/2 - 62. Calculate p(w(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3*-402174.5\nAnswer: 1206523.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 2*t + 1. Let k(r) = -2*r**2 + 3*r + 3. What is -15*h(f) + 6*k(f)?\nAnswer: 3*f**2 - 12*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 178*a + 2163. Give g(-100).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/396)\/(2\/(-6)). Which is the nearest to -1? (a) h (b) -1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = -79 + 73 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-3)*-4)\/6. Let j be (-64)\/800 + ((-38)\/75)\/2. What is the nearest to -2 in -1, t, j, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1025, 2\/9, 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 21. Suppose 356 = 4*s - 4*v, -j*v = 4*s - 3*s - 64. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 674?\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -339.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*q**3 + 7*q**2 - 297*q wrt q.\nAnswer: -84*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-12)*(3 - 0))\/((-4)\/11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -3\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, 4, 2, -0.2, -1394.8, 0.29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1479, -2211, 0.3.\nAnswer: -2211, 0.3, 1479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**5\/2 + 57*b**4 + 216*b**3 - 1005*b**2 + 2253*b\/2 - 396 = 0.\nAnswer: -33, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2861121246 divided by -6?\nAnswer: 476853541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216 + 298. Let u = 461 + s. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1556 - b - 1556 - 9*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -637 - -679. Suppose 3*m - c*q + 39*q = 171, 2*q + 230 = 4*m. What is the greatest common divisor of m and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 458626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2769840925 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h - 28*h + 9656 = 78*h. Solve 58*a = h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - 5 - 20 - (-89 + 134)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69769 = -66*z + 70*z + 5*u, 5*z = -u + 87248. List the prime factors of z.\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*i - 34. Let q = -12 + 25. Let a = 22 - q. What is the remainder when i is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -541206*5.\nAnswer: -2706030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261 - -0.039.\nAnswer: 261.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114333408?\nAnswer: 2, 3, 7, 56713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 7:23 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*9 + -190*56\/1176\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b. Let h(r) = 486 - 15*r**2 + 23*r**2 - 7*r**2 - 127. Determine h(n(v)).\nAnswer: 49*v**2 + 359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b + 14. Let w(c) = 6*c - 9. Let s(o) = 5*p(o) + 7*w(o). Let g be s(-4). Suppose 17*y = g*y - 26. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3006\/5 - 27364\/45. Calculate the common denominator of d and 126\/10 + (-1 - 0).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**3 - 33 - 1382*w - 1367*w - 6*w**2 + 4*w**3 + 2739*w. What is the remainder when f(-6) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34384049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6*135\/(-90).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2 (b) -4.6 (c) -136\/9 (d) -1\/12 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142\/3 - 281\/6. Let u(h) be the first derivative of l*h**3 + 3\/8*h**4 - 2 + 0*h - 1\/5*h**5 - 1\/2*h**2. Suppose u(f) = 0. What is f?\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aarr when four letters picked without replacement from aaaaaaraarara?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - t - q - 415, 0 = 3*t - 2*q - 315. Suppose -68 = 7*x - t. Put 1, x, 7 in ascending order.\nAnswer: 1, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**2\/7 + 269534*u - 8175752\/7.\nAnswer: -2*(u - 314452)*(3*u - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -25. Let d = -17 + m. Let r = 0.3 + 0.7. Which is the nearest to -0.1? (a) r (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41239 - -1049.\nAnswer: 42288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k**3\/4 - 3*k**2\/4 - 8913*k\/4 - 8853\/4 = 0 for k.\nAnswer: -227\/19, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 75*m**2 + 6*m - 6. Calculate a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/50 and -87\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/3)\/(c\/(c**(-2\/17)\/c))*(c*c**(-1\/4)\/c)**48 assuming c is positive.\nAnswer: c**(-754\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 128012687 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2225 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + 9022. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -154*v + 50899. Give c(329).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = g. Suppose -g*s = -8 - 0. Let t = 14 + -6. Solve -4*q = -s*q + t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -65\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703299.4 grams to kilograms.\nAnswer: 703.2994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-13)\/(-65))\/(2\/1030)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 1, s: 2, g: 1, i: 1, m: 1}. What is prob of sequence zsb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 20 + 4. Let o = 1 - c. Let y be 1\/o - (-5)\/25. Solve 0 = -y*x - 2*x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 82 = -1680*l + 1682*l, -11*k - 3*l + 116 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 265*b**2 - 84*b**2 - 199 - 96*b**2 - 87*b**2 in the form c*b**2 + v + x*b and give v.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 5876 - 5876 + 2*h**2 + 2*h**2. Let b(s) = 1600*s. Give r(b(u)).\nAnswer: 5120000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + t)*(448 + 472 - 887 - 2*t + 14*t**2) to a*t**2 + k*t + y + g*t**3 and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3911*b**2*c**2 - 18*b**2*c + 58*b**2 + 2*b*c**5 wrt c.\nAnswer: 7822*b**2 + 40*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947901071.\nAnswer: 13, 72915467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, 6634, -5 in descending order.\nAnswer: 6634, 131, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 110 = -415. Let p = w + 309. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4906.8 - 29.\nAnswer: -4935.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9*o - 21. Let h(i) = -4*i - 10. Let u(k) = 13*h(k) - 6*m(k). Let x be u(8). Let s be x\/3 - (-160)\/8. What is the highest common factor of 48 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -11) + -39 + (26 - 28) + -3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z - 3. Let c be x(-2). Suppose -5*u = -2*d + 15, 0 = -d - d - 5*u - c. Let f = -70 + 74. What is the nearest to 1 in d, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 138487 (b) -2\/7 (c) -1\/4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.742 - -0.642. Sort p, -2, 10\/153.\nAnswer: -2, p, 10\/153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -26. Suppose 0 = -3*r + g - 0. Solve -r*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257433 is divided by 1800?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130055*d*p + 933433*d + p**2 with respect to p.\nAnswer: -130055*d + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 * 0.2\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1336193, -1336194, -1336195?\nAnswer: -1336196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 224\/3*(8 + -5). Calculate the greatest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -464.6 + 463.6. Which is the nearest to 2\/7? (a) l (b) 0.3 (c) -4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18682 + 18510. Put -4, 5, 3, b in decreasing order.\nAnswer: 5, 3, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3016?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k + 53. Let l be u(-7). Let m(x) = -14*x - l*x + 20*x. Let f(p) = 54 - 102 + 10*p + 48. Determine f(m(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 + -157. Solve 0 = y*b - 3*x + 2*x - 6, 5*x = -4*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132099 + 37314 = -3964*u - 56535 for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**8\/1008 + 29*a**5\/60 + 6*a**2. Let l(m) be the third derivative of b(m). Let p(o) = -o**2. Give l(p(i)).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639970263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1)*(-27)\/(1134\/(-12))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -1, 63, 177, 353, 603, 939?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.12 - -9. Let p = d + 2.12. Let k = 0.2 - -0.2. What is the third smallest value in k, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -920 divided by 66?\nAnswer: -460\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 + 45*m - 7. Determine h(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1023 - -34311?\nAnswer: 33266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -36*-6.6\nAnswer: 237.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 3\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*z + 907233, -396*z + 907233 = 3*f - 391*z. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10*h - 863 = -4*t, 3*h - 681 = -3*t. Calculate the lowest common multiple of 18 and t.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1804\/(-260))*(175\/10 + -20).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2. Let y(s) = -1621*s**2 + 10. Give y(l(b)).\nAnswer: -1621*b**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1305, -5296, -11945, -21252, -33217, -47840?\n\"Answer: -1329*f**2 - 4*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 411257, 1.\nAnswer: -2, 1, 411257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391 is divided by 1346?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12688, -12862, -13124, -13480, -13936, -14498?\n\"Answer: -u**3 - 38*u**2 - 53*u - 12596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44657 is divided by 11125?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/14)\/(9\/((-315)\/10)). Solve -10 = 5*o - 2*v, -w*v + 2 = -o - 0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 59, -7414?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(320)*-1*-4)**2 + sqrt(320) - sqrt(320)) + sqrt(320)) + -3.\nAnswer: -20483 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7977 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 574566 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19651.8 and -0.3.\nAnswer: 5895.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 30 (c) -4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from {x: 2, w: 3, p: 3, u: 1, k: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 4*s**2 + 3*s - 2. Suppose -6 = 2*x, 6*n + 5*x = n + 15. Suppose -n = 2*l, -5*l - 18 = 2*z + 7. What is q(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3\/6 - 474253*g**2\/6 + 28115081308*g\/3 - 140569478440\/3 = 0.\nAnswer: 5, 237124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 18570, 1, 89, -6 in ascending order.\nAnswer: -6, 1, 89, 18570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h + 100. Let g be p(-10). Suppose 6*k - g = 2. Solve k*y - y = -3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 388.862784 + -368.976. Let c = a - 18.8867833. Let i = 1 - c. What is i rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/7 or -68.7?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54980 + 5753?\nAnswer: 60733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127794 and 354.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000265804 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 30 = o, 324*o + 60 = -2*k + 329*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -119 - -253?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 7*h**4\/4 - 27*h**3 + 2*h**2 + 281*h - 269. What is the second derivative of d(x) wrt x?\nAnswer: 42*x - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -3 (c) -1.68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u - 76. Give v(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5460979681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956896 is divided by 343.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:39 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19\/56 + 3\/56. Which is the second smallest value? (a) j (b) -5 (c) -0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43764201 to the nearest integer?\nAnswer: 6615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31, -72, -117, -166, -219, -276?\n\"Answer: -2*o**2 - 35*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence attt when four letters picked without replacement from aaatattatttta.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -37 (b) 0.2 (c) 5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 9\/4*630\/(-135)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 8788.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 597950885?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3 - 91401*d**2 + 274242*d + 365640 = 0.\nAnswer: -30470, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -15. Suppose 0 = 6*u + 131 + 37. Let s be (q\/6)\/(3\/u). Calculate the highest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 92 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*x - 12018. Let v = -1409 - x. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away -3.23?\nAnswer: -12.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 117.4*0.1\nAnswer: 11.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/5 - 32714*k**2\/5 - 134346382*k\/5 - 932426894.\nAnswer: -2*(k + 35)*(k + 8161)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 32 = -5*h - 3, 2*h = 2*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzs when three letters picked without replacement from {h: 1, c: 4, g: 1, s: 1, z: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -34522560 (base 7) to base 4\nAnswer: -23203333323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, -6\/11, 940\/7, 2\/9, 1510?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9266 - -0.6266. Let i = -5.06 + 0.06. Which is the third smallest value? (a) i (b) -0.5 (c) -2\/3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) - (-22740)\/(-28425)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - b**2 - b + 5. Let c be v(0). Let m(l) = -l**3 - 2*l**2 + l - 1. Let s be m(-3). Solve 5*u + 0*r - c = 5*r, -4*r - 8 = -s*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -16. What is the first derivative of v - 4 - 116*b**4 + 122*b**4 wrt b?\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 8*b - 2. Let z(l) = l - 1. Let i(d) = v(d) - 4*z(d). Let o be i(-3). Calculate the highest common divisor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Suppose -5*c + 2*m = 4 - 125, 3*c - 73 = m. Let p be (10\/c)\/(2\/10). Let i be y(p). Solve -i*d = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4 + 2. What is the third derivative of -44*z**3 - 17*z**2 + 132*z**3 - 68*z**i wrt z?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -171123, -342241, -513359?\n\"Answer: -171118*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 4, -0.2, 14\/9, -0.1 in descending order.\nAnswer: 4, 14\/9, 3\/5, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 321 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-328 - -334) + (-1 - (-1 - 0)) + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + 35. Let x = 39 - 28. Let q be y(x). Solve -2\/3 - 7*l**3 - 3\/2*l**4 - 14\/3*l - 61\/6*l**q = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 121 + 94 = 0. Suppose -2*c + 4 = 0, l = 5*b - 4*c - 34. Let k = -6 + b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2002561?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -3*g**5\/100 - 6369*g**4\/20 - 13521387*g**3\/10 - 28705904601*g**2\/10 + 12001*g. Solve z(f) = 0 for f.\nAnswer: -2123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 69.2. Which is the smallest value? (a) -2\/15 (b) 4\/3 (c) q (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74608 or 0.1?\nAnswer: 74608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -12*u + 4. What is n(4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/(-180)*2 + 2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.2 (c) 2\/15 (d) 0.1 (e) -202 (f) -1 (g) -0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*q - 48 + 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (142\/(-497))\/(1*(-1)\/7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -93\/2*j + 0 - 3\/2*j**2 = 0.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*s*z**2 + 5*s*z + 64*s + z**2 - 46*z + 6700 wrt z?\nAnswer: -124*s*z + 5*s + 2*z - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven quarters of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42848230 by 19.\nAnswer: -2255170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 rounded to the nearest 10?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1011\/10 + 101. Let p = 1.51 - 1.45. Which is the second biggest value? (a) 1 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -0.649, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-9) + 0)*39\/(-182)*-7. Solve -5*y = 7*y + s*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 64.2149.\nAnswer: -449.5043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -186*n + 782. Determine o(-1).\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 26, 13, -30, -115, -254, -459, -742?\n\"Answer: -2*s**3 + 3*s**2 + 10*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-105)\/(-10)) + 4640\/3008?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 279*-1234\nAnswer: -344286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5508 - -38557\/7. What is the nearest to -0.1 in 5, 1412, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-10)*(-5)\/(-2). Suppose 37 = 3*i - 5*k, 3*k - 2*k - 7 = -p*i. Suppose h**i + 3*h**3 - h**2 + h**3 + 2*h + 5*h**2 + h**2 = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 6*o - 18 = -8*h + 14*h, 7*o + o = -4*h + 12 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 4 (b) 185 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*s + 10*s = -390, -3*l = 3*s - 252. Calculate the remainder when 9717 is divided by l.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -432481.4 to the nearest one thousand.\nAnswer: -432000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*c**5 + 5*c**5 - 12*c**5 + (4 - 4 + 1)*(-8*c - 2*c**5 + 8*c) - c**5 + 2*c - 2*c.\nAnswer: -29*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a24798 (base 11) in base 7?\nAnswer: 41022640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**5\/5 - 32. Factor k(d).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.03 (b) -3 (c) -2 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32645, 65292, 97939, 130586?\nAnswer: 163233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3)*2*(-18)\/(-8). Calculate the remainder when 71 is divided by 20\/60 - 71\/z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/20 - 3*n**4\/4 + 202*n**3\/3 + 161*n**2. What is the first derivative of g(s) wrt s?\nAnswer: 6*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f - 23*f - 42*f + 79*f + 6. Let t(q) = 1. Let s(o) = -6. Let b(k) = -s(k) - 5*t(k). Determine -6*b(u) + c(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 57, -2, -0.3, -4394?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2ca42 + 2?\nAnswer: 2ca44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22447905*x**3 - 24798472*x?\nAnswer: -134687430*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(45)\/(-3*-4*sqrt(9)) + -2 + -3).\nAnswer: -36 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*x + 207 = 0, 0 = -h - 4*h - 5*x + 555. Suppose -h + 43 = -5*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4702573 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284993 is divided by 53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 427377 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 501227\/5 - 100239. Let 24\/5*f**2 + 8\/5*f**3 + 1\/5*f**4 + u*f + 16\/5 = 0. What is f?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 52850606 and -2711?\nAnswer: 52853317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 541 + -547. Put 1, j, 0.4, -16, 1\/5 in descending order.\nAnswer: 1, 0.4, 1\/5, j, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09489 + 0.19489. What is the closest to -4 in n, 3, -3\/4, 5\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10720 divided by 2?\nAnswer: 5360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17619679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.748 + 1.748. Sort q, -1\/8, 4, 0.1.\nAnswer: q, -1\/8, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -2531*t**7\/70 - 849*t**4\/4 + 3950*t**2. Find the second derivative of c(h) wrt h.\nAnswer: -91116*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-96)\/(-28) - (-12)\/21. Suppose 4*j = 16 - i. Suppose 75 = j*f - 45. What is the highest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose -354 - 78 = -p*s. List the prime factors of s\/22 - (-4)\/22.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1305 + 85 = 35*d + 235. Solve -d*v + 10 = 5*x - 37*v, 8 = 4*x - 2*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(612))*4 - 1*(sqrt(612) - (sqrt(612) + 2 + sqrt(612))))**2.\nAnswer: 600*sqrt(17) + 15400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(20) + (sqrt(200) + -1*sqrt(200))\/sqrt(10) + sqrt(20))\/sqrt(4) + ((sqrt(5) - (sqrt(245) + -1 + sqrt(245) + sqrt(245)))*-2)**2.\nAnswer: -157*sqrt(5) + 8004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1239, 2306, 4085, 6576?\n\"Answer: 356*c**2 - c + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -24. Suppose -i*g = -52 - 488. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.1 + -6. Let k = -1.1 + f. What is the nearest to 1 in -0.2, -5, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -350, -2.979, -2\/7, -0.4.\nAnswer: -350, -2.979, -0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + 0 + (-11 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-48))\/((-40)\/(-66)). Let y(o) be the second derivative of 1\/10*o**6 + l*o**5 + 11\/12*o**4 - o**2 + 0 - o + 1\/6*o**3. Factor y(x).\nAnswer: (x + 1)**2*(x + 2)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -44*p + 5953. What is c(131)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 3*c**6\/10 - 42*c**5\/25 + 3*c**4 - 8*c**3\/5 - 152. Factor y(k).\nAnswer: 3*k**2*(k - 2)**2*(3*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*r**4*v - 70*r**3*v + 3*r**2*v - 277*r**2 + 2*r*v + v wrt r?\nAnswer: 1368*r*v - 420*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3\/2))\/z**6*((z*z**(-2\/7)*z)\/z)**41*(z**(-7)\/z**9)**24 assuming z is positive.\nAnswer: z**(-5015\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7056 = -17*v + 1487 + 5312. Calculate the remainder when v is divided by 282.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**2 - 10370*k + 5376845 = 0. Calculate k.\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*u - 112*u - 112*u + 319*u - 277 as t + f*u and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154361.\nAnswer: 163, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24309 and 39738?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**4\/6 - b**3 + 49*b**2. Let z(t) = t - 1. Calculate -o(u) + 5*z(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/(660\/462)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*g - 60, -42 - 33 = -5*g + 5*y. Suppose -4*r - g = -0*r. Calculate the remainder when 1*-19*5\/r is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0*d)\/d)**(-11))**(-46) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - m)*(-20*m + 9*m - 19*m) + 914*m**2 + 8537*m - 8537*m in the form p*m**2 + c + t*m and give p.\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179 + 325. Let z = g + -269. Which is smaller: z or -122?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/2527?\nAnswer: -2\/2527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v = 732*v + 22765 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(52) - (((sqrt(468)*2 + sqrt(468))\/sqrt(9))**2 + sqrt(52))) + (-5*sqrt(52)*-1)**2).\nAnswer: -4992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) -2302 (c) -7 (d) 0.2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 8*p - 28. Give d(-14).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8009140.\nAnswer: 2, 5, 400457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-48) - 4158\/7728.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/6*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*j - 87. Let w(t) = 114*t - 6. Let d be w(1). Let s = d - j. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.420365265 and -38.\nAnswer: -41.420365265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122 + 126 - 209 + (4 + 0 - 2)*(-2 + 1 + 0))*(-10*u + 80 - 80).\nAnswer: -370*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3774)\/222 + (-7 - -6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5427 and 0.7481?\nAnswer: 0.40599387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*d + 565*d + 513*d = 1666*d - 648 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-180)*(-5)\/((-25)\/162) - (-45)\/30.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 102007581 divided by -39\nAnswer: -2615579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8110.0006554 - 8110. What is r rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6513 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1895 or 1900?\nAnswer: 1895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p\/(p**(-4)*p)*p)\/p)**43*p**(7\/3)*p**(-12)*p)**2)**(-1\/17) assuming p is positive.\nAnswer: p**(-1238\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 1. Let l be u(-5). Suppose -l*k + 3*k + 1 = 0. Let x(p) = p**3 - 1. Calculate x(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80\/189 or 0?\nAnswer: 80\/189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 120*v**2 - 5*v + 120.\nAnswer: 5*(v - 24)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 - 73. Let m be (-70)\/6 + (-19)\/v. Is 4 a factor of 4*(9\/12 + -2)*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 10*p = 6. Suppose -3 = h + p*a - 2, 2*a = -2*h - 4. What is the least common multiple of 30 and 12\/(6*h\/18*-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803091163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43204 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 6*q. Suppose -c - 8 = 3*c, 3*c + 22 = -4*b. Calculate x(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1369 = -4*s, -3*s = -4*s - 5*b + 331. List the prime factors of (-8)\/(-28) - s\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 12*k - 1. Let y(z) = 2*z**2 - 13*z + 7. Let m = -1 + 7. Let q be y(m). Give w(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(15\/(-20))\/((-168)\/416).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-21)\/(j\/j**(-2\/11))*j*j*j**(-4\/11)*(j*j**(-2\/49))\/j assuming j is positive.\nAnswer: j**(-11096\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -6027314\/99 at most -60881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 24*q**2 - 55*q + 96. Give n(26).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 10*g - 160. Let a(y) = y**2 + 20*y + 320. Let l(u) = -2*a(u) - 5*s(u). What is the first derivative of l(q) wrt q?\nAnswer: 6*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/51 + -1 - (-826)\/(-1071). Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -0.076 (c) 1014.98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 - 809 = -9*f. What is the lowest common multiple of f and 464?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1975*x**2 + 3124*x**2 + 5 - 5.\nAnswer: 5099*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 - 299 = -46*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2) - (-2)\/4. Suppose -s*j - 2*w + 52 = 0, 0 = -3*j + j + 4*w + 52. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106997263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34088*x = 34962*x + 68172 for x.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -156.1896 - -0.1896. What is the third biggest value in v, -5, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/51 and -53\/1962922.\nAnswer: 5888766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 3*b**4\/2 + b**2\/2 - 83*b. Let j(l) = -3*l + 3*l - l**2 + 2*l**2. Calculate j(u(t)).\nAnswer: 324*t**4 + 36*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 287 + -43. Let q = c + 38. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b + 10. Let h be k(-3). Let d be (h - 20)*(-1 - 0). Let o = d - 14. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*232)\/2*(-208)\/832.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7195 - 32888 = 571*a - 140*a for a.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/5 and -57\/18110.\nAnswer: 18110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2050467 + -729267. Round j to the nearest ten thousand.\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 242, 440?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12127\/9 + 1343. Suppose 0 = -4*d - 4*n - 1 + 5, -7 = 5*d + 2*n. Which is greater: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1251, -3183, -5799, -9099, -13083, -17751?\n\"Answer: -342*m**2 - 906*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:08 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c + 27 = 75*c - 21*c - 29*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -185.5 + 185. Let q = -1\/2 - 7\/6. Which is the biggest value? (a) 2\/15 (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.3 - -3.3. Which is the nearest to 1? (a) 0.2 (b) h (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-5\/8)*q)\/q**(2\/3))\/(q**5*q**(-4)) assuming q is positive.\nAnswer: q**(47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16997.\nAnswer: 23, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(3 - (9 + -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 + 7*p + 5. Let t(l) = -11*l**2 - 13*l - 11. Determine -13*h(k) - 6*t(k).\nAnswer: k**2 - 13*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.042 from -6.334.\nAnswer: -6.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 28*d + 15. Let z(p) = 52*p + 32. Let j(l) = 11*s(l) - 6*z(l). Give j(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*h*l**2*x - 9*h*l - 3402*h - 52449*l**2*x + 7*x wrt l?\nAnswer: 54*h*x - 104898*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126\/1355 + 1103\/2710. Factor 0 - q*o**2 + o - 1\/2*o**3.\nAnswer: -o*(o - 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.13 and 0?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6460778503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 58*a + 0 + 1\/10*a**6 + 0*a**2 + 0*a**3 - 149\/12*a**4 - 3\/20*a**5. Find the third derivative of l(d) wrt d.\nAnswer: 72*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168707 is divided by 84338.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(3*1\/(-21))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-1)\/(-5) + (-69)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/((-238)\/(-4)) - (-14384)\/17. What is the remainder when ((-7)\/21)\/((-6)\/y) is divided by 24*2*(-1)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 5024.\nAnswer: -3\/2512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -8. Suppose -n*l - 147 = -5*f + 869, -610 = -3*f + 2*l. What are the prime factors of f?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 983736 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01042 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113489 is divided by 234?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550107 = 5*f - 24*f. Let x be (-4)\/(-10) - f\/45. What is x rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in fifty sevenths of a week?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + -1. Let t = -1.2926 + 0.2926. Let q = -39.8 - -40. Which is the closest to 32? (a) u (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 5:50 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(38)\/sqrt(2) - sqrt(19))**2*1 - (sqrt(76)*2)**2).\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54377513 to the power of 1\/2, to the nearest integer?\nAnswer: 7374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22874, -91532, -205972, -366200, -572222, -824044, -1121672?\n\"Answer: -f**3 - 22885*f**2 + 4*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 5. Let s(m) = -276*m + 460. Let t(l) = -92*b(l) - s(l). Let u(d) = -d. Calculate u(t(z)).\nAnswer: -92*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - (46 - (9 - -17)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.38 + 3.78. Let l = 3.958 - 0.428. Let f = a - l. Round f to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47882, 3, -32, -2 in descending order.\nAnswer: 47882, 3, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -149.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 i, and 1 k when four letters picked without replacement from {u: 3, a: 4, z: 1, c: 2, i: 4, k: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y + 3*y - 22*y**2 + 3*y**3 - 12*y**3 + 7*y**3 to the form a*y**2 + l*y + k*y**3 + q and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/((-8)\/(-16)*-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1719320991 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -20.9. What is the nearest to 30 in 0, 2\/11, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*-2*(sqrt(1400) - sqrt(1400)*1))\/((sqrt(18) + sqrt(18) + sqrt(162)\/(sqrt(9)*1))\/(sqrt(144)*3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98208 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6657 (b) 0.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 25 = -6*u. Suppose 35*i - 4 = 9*i - 4. Solve -4*t + u*t - 1 = i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*z + 38891 - 37274 = 0 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*i + 6 = 0, 10 = -2*v - 0*i + 5*i. Suppose -a + 5*t - 16 = -0*t, v = -4*t + 20. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004281260697 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*n = -3, -2*y - 2*n + 21 = n. Suppose 4*g = -16, -5*o - y*g + 0*g = -393. Let c = o + -37. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-2 - 0) + 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1 + sqrt(17))*-2 - (-4 + sqrt(68)\/sqrt(4) - sqrt(17)))**2.\nAnswer: -96*sqrt(17) + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2586 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + 0.03. Let s = d - -5.98. Let w = s - 3. Sort -5, -2\/3, w.\nAnswer: -5, -2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1206)\/(-2211))\/(((-1)\/(-4))\/((-66)\/(-8))). What is the greatest common divisor of r and 873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-9)\/c)\/c)\/c)\/c)**(-45) assuming c is positive.\nAnswer: c**585","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l = -34*l + 121. Let n(b) = b**3 - 4*b**2 + 11*b - 11. What is the hundreds digit of n(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(5*(-32)\/(-40))*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from klvlkvkkk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 76, -5, 17362, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + j - 144, 0*l + 3*j = l - 38. Let c = l + -45. Suppose -5*q + 2*q + 4 = c*y, 4 = -q - 2*y. Solve -2*p + 10 = 4*v, -5*v = -6*p + q*p - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-178)\/(-6) + 4\/12. Let b be (-28 - 0)*4\/8. Let r be 205\/35 + (-2)\/b. What is the highest common factor of r and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 3*z**2 - 1\/24*z**4 - 17 + 0*z - 1\/30*z**5 + 0*z**3. What is m(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 345679614 to the nearest integer?\nAnswer: 18592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*9\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (28 - 23)*18\/(-5). What is the units digit of 107\/(-6)*4*h\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69777053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 2*a**4\/3 - 5*a. Let p(c) = -c. Calculate p(g(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 698157.79 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.49?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000366399 to 7 dps.\nAnswer: -0.0000366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 8:04 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*s + 4, 1 = 2*s + 5. Let a be ((-54)\/45)\/(3\/h). Let w**4 - w**a - 3*w**2 + 3*w**4 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316819001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.36 - -19378956.\nAnswer: 19378954.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 121.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15041517 by 5.\nAnswer: 15041517\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1 - (-13 - -1)) + (102 - 104).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*r**5 - 9*r**4 + 49*r + 2 wrt r.\nAnswer: 140*r**3 - 108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121 and 5?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 2:07 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593 = c + 2*o, -o + 1765 = 67*c - 70*c. Is c greater than or equal to -589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*(-15)\/1250*(9660\/23)\/14\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021999068 a multiple of 3222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**30\/((k\/(k**4*k))\/k)*(k\/((k\/k**33)\/k))\/k*k**(-1\/12) assuming k is positive.\nAnswer: k**(815\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u. Let s(v) = -36*v**2 - 101*v + 9. Give i(s(p)).\nAnswer: 144*p**2 + 404*p - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydyfbqbbfbbf. What is prob of picking 2 y and 1 b?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4129 - 4849 + 17*w - 15*w - 1228 as r*w + t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*o + 26 = -54, 0 = -4*f + 2*o + 334. Differentiate g - g + 6*g**4 + 437*g**3 + f - 443*g**3 with respect to g.\nAnswer: 24*g**3 - 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596897113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -14. Let w = -53.2 + 48. Let f = x - w. Which is the smallest value? (a) -5 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 n when four letters picked without replacement from {x: 4, k: 1, m: 4, n: 6}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + 217705*f + 28*f**4 - 217872*f - 26*f**4 to the form r + t*f**3 + a*f**4 + l*f + y*f**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2278 and 15042.\nAnswer: 17132838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*v - 2*v + 196, 0 = 2*q - 3*v + 129. Let f be 6\/8 + -1 - q\/32. Solve t + 8 = 5*t, -5*t = -f*r - 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3235672*m - 5512864 wrt m?\nAnswer: -3235672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 24*r**2 + 26*r + 29. Let h = -6657 - -6634. Give q(h).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 58 = -2*w + 30, 3*w + 4*y = 112. Let j be 0\/(-2 - -1) + w. Let l = j - 29. Calculate the least common multiple of 10 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-24) - (-7)\/(-756)*-69. Sort 4, 1\/8, s, 0.5 in decreasing order.\nAnswer: 4, 0.5, 1\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.9 - 27.7. Let m = r - -34. Let f = -0.3999698 + m. Round f to 6 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 + -80. Suppose -2*t + 2*a = -18, 3*a = -m*t + 7*t - 1. Suppose -396 = -t*n + n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1121 - -1031?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3602 + 6271. What are the prime factors of j?\nAnswer: 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v - 3. Let x be d(-18). Let t = x + -84. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 21. Suppose -5*g + 5*m - 27 = -7, 4*g - 3*m = -l. Which is the third biggest value? (a) 1\/4 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 32*u + 93. Determine z(10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402 (base 8) to base 9.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*m + 4, -23*m + 19*m + t - 4 = 0. Solve -4*w - 3*a = -8*a + 4, m = 2*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 99*n**2 - 81*n + 114. Give w(100).\nAnswer: 2014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1388047 and 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0541 plus -2153528?\nAnswer: -2153528.0541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-830180)\/(-247800) + 1\/(-7). Let n = -12\/295 + j. Find the common denominator of -49\/58 and n.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (8 - 10)) + -10 + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289125 by -57825.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 - 32 + 2*u**2 - 4*u**2 - 8*u**2 + 9 in the form b*u + y + p*u**2 and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1875, 3704, 5535, 7368, 9203, 11040, 12879?\n\"Answer: u**2 + 1826*u + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 2936210*g + 2936205.\nAnswer: 5*(g + 1)*(g + 587241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 2\/673 (c) -0.3 (d) 5 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f - 3. Let v be i(-2). Let r be -3 + 2 - v*-1. Let x be 12 - (4 - (r - 0)). Solve 3*m = m - x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.79361g?\nAnswer: 8793610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 24 - 0. Suppose 1 = -b - 3*i, -i + 3 = -u*b + 12. Suppose -j = -2*p + 94, -82 = -b*p + 3*j - 8*j. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -255*j**3*w**4 - 293*j**3*w - j**2 - 9833*w**5 + 107*w - 2 wrt w?\nAnswer: -3060*j**3*w**2 - 196660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71679 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 13. Let n = -985\/2 - -493. Which is the closest to -1\/4? (a) -1\/2 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 5*r + 6*r)*(5*r - 4*r - 4*r) + 2*r**2 - r + r + (r - r + r)*(-3*r + 2*r - r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.203315 - -0.00609.\nAnswer: -0.197225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639 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: Suppose 4*p + 14 = -2*m, 0*p - 11 = -2*m + p. Suppose -5*l + 90 = -5*i, -64 = -3*l + 2*i + m*i. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((13 + -26)\/26)\/((-3)\/72)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 3543\/61 (c) -1\/4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55320156 or 55320152?\nAnswer: 55320152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8*46.\nAnswer: -82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iviiivh. Give prob of picking 1 i and 1 v.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**3\/6 + 10*x + 1. Let j(g) be the first derivative of f(g). Let s(y) = 14*y. Determine j(s(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 177*h**2 + h + 2. Let r be w(-1). Let y = -882\/5 + r. What is s in 2*s**2 - y*s - 2\/5 = 0?\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -946, -1285, -1876, -2737, -3886, -5341?\nAnswer: -7120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45.73 + 43.8. What is i rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 1124*n - 519*n - 605*n.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -374 by -91.\nAnswer: 374\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, s: 9, o: 2}. Give prob of picking 2 s.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = f - 5*b, -4*f + 123 = -3*f - 4*b. Let y(o) = f + 4*o - 123. Let n(l) = 5*l + 30. Let i(u) = -1. Let m(p) = -30*i(p) - n(p). What is y(m(k))?\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 26*h**4\/3 + 290*h**3\/3 + 318*h**2 + 790*h\/3 + 100\/3 = 0.\nAnswer: -5, -1, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 984461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598467.\nAnswer: 3, 199489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.4894048 to 1 dp.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-123682)\/941551 - 2\/47?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2087, -2352, -2665, -3032, -3459?\nAnswer: -3952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.07932544 rounded to 2 decimal places?\nAnswer: 9.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**3 - 59590*t**2 + 252915*t - 6 wrt t?\nAnswer: 18*t - 119180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922938.\nAnswer: 2, 3, 101, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62840 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 15 = -737*n + 741*n, -9*c - n = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1522067 * -3.\nAnswer: 4566201","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n - 4. Suppose -5*d - r - 4*r = -35, 6 = -2*d + 3*r. Calculate the smallest common multiple of d and x(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 44 + 9 = -5*f, -f = s - 10. Solve c - f*z = 25, 4*z - 2 = -4*c + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Calculate the greatest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 0*q + 5\/2*q**2 - 1. What are the prime factors of t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 28 + 0*m + 2*m - 32 + m. Suppose -3 = -0*p - 3*p + 4*i, -2*p + 2 = -5*i. Let y = p - -2. Give s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-165)\/6)\/5*(-4 - -2) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 17857440?\nAnswer: 17857448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 26*b - 103. Let w be f(21). Calculate the smallest common multiple of (-6)\/w - (19 - 30) and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - j = 0, -473*j + 471*j = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9641 rounded to two dps?\nAnswer: -1.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + 13 + 86 + -55?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -254*s + 65. Let u be p(-9). Suppose 3*r + 245 - u = -5*d, -d + 1411 = 2*r. List the prime factors of r.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + sqrt(117) + 0 + sqrt(117) + 2))**2.\nAnswer: 540*sqrt(13) + 4437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x = 24*x + 196. Let l(w) = -w**3 - 29*w**2 - 27*w + 36. Let b be l(x). Which is greater: 0.3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33781.07 rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/754278 and 47\/618.\nAnswer: 77690634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*k**3\/3 - 107*k**2\/3 - 98*k - 72.\nAnswer: -(k + 2)*(k + 12)*(7*k + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -37*p + 45. Let u be k(6). What is the remainder when 161 is divided by -5 - u*(-5)\/(-15)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -1\/378*q**7 + 95*q**2 + 0*q**3 + 0 - 1\/60*q**6 + 2\/135*q**5 + 0*q**4 + 0*q. Factor n(k).\nAnswer: -k**2*(k + 4)*(5*k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 16 = -4*w, -6 = -v - 2*w + 2. Suppose 5*x + 15 = 3*p - 20, -x - 4*p + 16 = v. Is x*1\/4*-7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3496*u**3 + 3496*u**3 + 127*u**5 - 4*u**5 + 2*u**5 + 0*u**5 + (-u**3 - 2*u**3 + 4*u**3)*(0*u**2 - u**2 + 2*u**2).\nAnswer: 126*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1747 + 1742. Let s = -41.8 - -37. Let a = s - -5. What is the nearest to a in 1, 4, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(171)*-6)\/sqrt(9))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z - 3*t - 7 = -64*z, -2*z + 10 = -2*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 56*o + 13*o - 126*o + 56*o. Let r = 0 - 0. Let t(i) = 0 + r + 26*i. Determine t(z(q)).\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2401\/6*y + 1\/6*y**3 + 49\/3*y**2 + 0 = 0 for y.\nAnswer: -49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 693152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2201112021 (base 3) to base 10.\nAnswer: 53602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -487*w**4 - 162*w + 316*w + 2*w**2 - 155*w - 1185*w**4 in the form m*w**3 + s*w**2 + g + t*w + u*w**4 and give u.\nAnswer: -1672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5 - 27848\/40. Let k = i + 5603\/8. Let n = -143\/4 - -769\/20. What is the common denominator of k and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 9*m**2 + 10*m - 3. Let b be h(7). Let z = b + 6. List the prime factors of z\/10*36\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113 by -6.\nAnswer: -113\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3 + 3 - 2*w. Let t(k) be the first derivative of -2 + 0*k + 3\/2*k**2. Calculate t(l(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 8:00 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -12*f - 4. Let y be s(-2). Suppose -15 - y = -3*c + 5*d, 2*c - 17 = -3*d. Calculate the remainder when 36 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11143 (base 5) in base 12?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -577.\nAnswer: 2\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 49, 77, 115, 169, 245, 349, 487?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tthh when four letters picked without replacement from twthwttwhhthhwtt.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-264)\/(-198)*(0 + 3). Solve -b*p = -q - 17, -3*p + 14 - 15 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*z + 12 = 0, -12 - 30 = -q - 3*z. Suppose y + 281 = 2*c, c + y - 565 = -3*c. Calculate the remainder when c is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 331151255\/200718 - 4\/100359. Let c = t + -1642. Calculate the common denominator of c and 7\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 1. Let o(q) be the second derivative of -31*q**3\/6 + q**2 + 1607*q. Give 2*h(j) + o(j).\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 829886891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81196.\nAnswer: 2, 53, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + 1 + -1)*3. Let v = -961 + 1153. What is the greatest common divisor of n and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2751 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1\/m*m)\/m**(-2\/21)*((m*m**(-1\/4)*m)\/m)\/(m\/m**(-4)))\/((m**(-2\/5)\/m)**(15\/8)*(m\/(m*m\/m**(-1\/4)))\/(m**1\/m)) assuming m is positive.\nAnswer: m**(121\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1055*f - 1049*f = 12. Let o be 1*4 + (-4)\/(-4). Solve f = -3*w + o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -3730, 3?\nAnswer: -3730","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*x = -108*x + 232*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2\/3 (c) -26 (d) -132 (e) -0.4 (f) -3 (g) 3\/115\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -1090?\nAnswer: -1091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83.2 - 84.43. What is s rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - (1 - (1 - -1)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 55. What is the remainder when a(-12) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001002330 (base 4) in base 6?\nAnswer: -15155032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 1 + 11*f - 12*f + 2 as s*f**2 + b + n*f + t*f**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -25*a**3 + 16*a**2 - 14. Let q(w) = -9*w**3 + 5*w**2 - 5. Let c(t) = -4*o(t) + 11*q(t). Give c(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 883*v**2 - 882*v**2 - 1 + 1755*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 5*b - 21. What is a(-10)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/156 and 61\/2640.\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0*m + m + 0*m)*(-6 - 3 + 4).\nAnswer: -5*m + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 5)*4 - 3. Suppose l*q - 32 - 3 = 0. Is q at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:43 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -17, -3\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1*-2)\/(-2)*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n - 3. Let h be v(4). Let k(o) = -o + 1. Let q(s) = -s + 2. Let t(g) = 6*k(g) - 7*q(g). Let f be t(h). Solve 3 = -d + f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 + 4*u**2 - 3*u + 3*u**2 - 4*u**2 in the form o + k*u + i*u**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -0.44, 2, -0.5, -2?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) -3 (c) -9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -65, 23, 3, -14 in descending order.\nAnswer: 23, 3, -1, -14, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/20 and -111\/11180.\nAnswer: 11180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 4434824?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a hour in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-13) + (-9080)\/(-130). Suppose 0 = -3*v - 3*m + 134 + r, 0 = -4*v + m + 292. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 536 divide 100525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3788.386 centuries in years?\nAnswer: 378838.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 7:02 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7194, 6587, 5980?\nAnswer: 5373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5255499 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1695, 1690, 1685, 1680, 1675?\n\"Answer: -5*c + 1700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 22*y**2 - 13*y + 84. Let s be x(-10). Solve 2*k = -2*z + s, 0 = 4*z + 3*k + 2*k - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/7 + 1314*k - 1463832\/7.\nAnswer: -(k - 9036)*(k - 162)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 y, 1 s, and 1 i when four letters picked without replacement from issysscsqcccicssc.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 6*q + 5. Let y be x(-6). Suppose y*k - k = 16. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -6?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 103*s**2 - 8*s - 1478. Is t(48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 43*o**2 + 2*o - 137. Is x(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/5 + 24*x\/5 + 32.\nAnswer: -4*(x - 10)*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127806624 by -16.\nAnswer: 7987914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*f - 1408 = -31*f + 8*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/14 and 15\/1078.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063119760?\nAnswer: 2, 5, 3449, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 602 and 344.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 8*l**2 + 6*l + 10. Let p be v(7). Suppose -2*u + u = -2*s - 16, -2*s = 10. Solve -u - p = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**4 + 16*b**2 - 3. Let n = -1 + 5. Let w(m) = -3*m**4 - 16*m**2 + 4. Let z(o) = n*g(o) + 3*w(o). What is the third derivative of z(t) wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112500 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 0*y + 48 = -z, 3*z = -y + 16 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 18020.34579 to 0 dps.\nAnswer: 18020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5627 is divided by 1861.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508 + 1592 = 7*d. Is 50 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*n**6 - 30*n + 3*n**2 - n**2 - 8*n wrt n.\nAnswer: 3240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6588138.9 hours to weeks.\nAnswer: 39215.1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1.243 (b) 0 (c) 3\/4 (d) -10\/7 (e) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16129? (a) -0.3 (b) -2 (c) -1\/30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1396 is divided by 461?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -60*m**2 + 699*m - 1316. Determine s(9).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -84, -147, -210?\n\"Answer: -63*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 5*k**2 + 7*k + 9. Let g(y) = 15*y**3 + y**2 - y. Let m be g(1). Let c = 9 - m. What is r(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 475520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 37394510082692+-22\nAnswer: 37394510082670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 12:56 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (7 + -3)) + 3 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11435\/4 + -2875. Calculate the common denominator of g and -62\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.2027?\nAnswer: 0.04054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 1, u: 1, k: 1, m: 1, r: 2}. What is prob of sequence urr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8*(-6)\/8)\/3. Factor 11 - 11 - 12*b**2 + s + 20*b - 10.\nAnswer: -4*(b - 1)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108620828.\nAnswer: 2, 587, 46261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 0*q + 2*q. Let b(a) = -a + 1. Let w(f) = 8*f - 19. Let u(t) = -4*t + 9. Let z(m) = 9*u(m) + 4*w(m). Let n(x) = 10*b(x) - 2*z(x). What is n(g(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 350.7 - 348. Let o = 2.700000088 - h. Round o to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-33))\/((-10)\/(-11))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**3\/2 + 15*l**2\/2 - 2*l. Let t be k(-4). Solve -b + 0*b - t = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 550, 2079, 4600, 8113?\n\"Answer: 496*h**2 + 41*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 0*h - 30 = h, -a - 15 = -2225*h + 2219*h for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 465 = -470 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*l - y, -5*y + 1 + 18 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -251.077\nAnswer: 50.2154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -134, -274, -414, -554?\n\"Answer: -140*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39369585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20.31 * -12.44\nAnswer: -252.6564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, a: 2, p: 6, r: 1, z: 3, d: 1}. Give prob of picking 1 d, 1 z, and 1 g.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 376 + -255. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1*b*b)\/b**(-2\/41))**(9\/11))**(2\/81) assuming b is positive.\nAnswer: b**(250\/4059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 15*c**2 - 14*c + 5. Let f be s(14). Suppose -70*h = -33*h - 185. Solve f = -h*o - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 4*p**2 - p - 5. Suppose u - 27 = 1. Suppose u = -5*k + 8. Determine b(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290*c + 1287*c = -3*u + 66, 28 = u + c for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 2 - 2 + (4 - 4 - 2*f)*(-5*f + 0*f + 3*f))*(4 - 4 - 2).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -2*j - 3*l + 52, 6*l + 3502 = -j + 3618 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 945223 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1406858 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + (-5 + 5 + (sqrt(1331) - (sqrt(1331) + 2 + sqrt(1331))))*3)**2 + -1.\nAnswer: 264*sqrt(11) + 11994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 9:55 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10142 + 28*c**3 + 10142.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 4*j**2 + 12*j + 1. Let n be y(6). Let p(s) = n - s**2 - 145. Let c(r) = 4*r**2. Calculate c(p(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4 + 0*w**2 - 3*w**2 - 4*w - w**3 + 8 + 0*w. Let m be s(-5). Suppose 0 = -o + 4*y + m, 2*y - 4 = 3*o - 250. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d**2 + 3*d**2 - d**2)*(7 - 5 + 7)*(-2*d + 0*d + 4*d).\nAnswer: 72*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(3) + -5 + 4))**2.\nAnswer: -16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-90) + (-49)\/30)*1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.4 - -106.6. Let j = -134 + w. Which is the third biggest value? (a) 0.1 (b) j (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 1. Suppose 3*n - 4 = 2. Calculate the least common multiple of i(n) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*f - 8, 6*c - 8*c + 4*f + 12 = 0. Factor 5*m**c + 59*m + 13*m + 8*m - m**2.\nAnswer: 4*m*(m + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37255 divided by 7451?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 639705349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 12:13 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 85 = 4*x. Calculate the remainder when 83 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 6 + 1 + 9)*(-3 + 4 + 2*h - 3).\nAnswer: 2*h**3 - 2*h**2 + 8*h - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1815 = 3*n - 5*x, -n + 4*n - x = 1827. Suppose -7*f = -2*f - 4*s - 637, -5*s = 5*f - n. Is 30 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*t**4 - 12\/7 + 8\/7*t**2 + 16\/7*t - 16\/7*t**3.\nAnswer: 4*(t - 3)*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3553578 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 4. Let y be u(0). Let g(s) be the third derivative of -s**5\/60 + 3*s**4\/8 - s**2. Let z be g(5). Solve 0*h + z = y*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979655 is divided by 1184.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - (17\/(-102) - (-5)\/(-6)). Which is the smallest value? (a) w (b) -1 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/5 - 72*b\/5 - 224\/5.\nAnswer: -4*(b + 4)*(b + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = s - 8. Solve 0 = -j - 3 + s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d\/d**(-2\/57))*d*(d\/(d*d**47\/d))\/d*((d*d**22)\/d)\/(d**30*d) assuming d is positive.\nAnswer: d**(-3194\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 2*b = 80 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 943421 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144056 and 8?\nAnswer: 144056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and 192\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -411*l**2. Let v(o) = 12*o**2 - 4*o + 8. Let m(x) = -10*x**2 + 3*x - 6. Let j(p) = 4*m(p) + 3*v(p). What is d(j(r))?\nAnswer: -6576*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7196 and 29428?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*l + 216 = 0. Let z be (l\/42)\/(-1 + 2). What is the biggest value in z, -2\/5, -3, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 5. Let j = 78.8 - 78.4. Which is the second biggest value? (a) j (b) q (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 5348.\nAnswer: 5348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 2*q - 20*q**3 + 10*q**3 - 240*q**2 + 229*q**2 to o + m*q**4 + h*q**3 + w*q + u*q**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3528*p**3 + 3602*p**3 + 3530*p**3 + 3539*p**3 - 14196*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 27*g**2 - 80*g - 416. Determine m(25).\nAnswer: -1166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-28)\/(-12) - (-25)\/3. Let x(p) be the third derivative of p**5\/60 - 3*p**4\/8 + 6*p**2. Give x(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107491?\nAnswer: 17, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 918 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65277316 by 4.\nAnswer: -16319329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 968\/352*(98\/(-11))\/(-7)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**3 - 72*s**2 + 21*s + 66. Give u(14).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3 - (-9 + 0)) + 7 + -23.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 + 89. Let l = -1.9 + 2. Let m = -6 - -5. Which is the closest to 1\/2? (a) l (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45739760.\nAnswer: 2, 5, 11, 51977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*x**3*z**3 + 3*x**3*z**2 + 11*x**2*z**2 + 2*x*z**4 + 13*z**4 wrt z?\nAnswer: 18*x**3 + 48*x*z + 312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95268 is divided by 9525?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -300, -17, -150 in descending order.\nAnswer: -17, -150, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -25. What are the prime factors of (-2 - (-147 + 0)) + (-5 - z)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, t: 1, k: 1, d: 2, b: 6}. Give prob of sequence hkh.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2027, -3, -62, 1, -37 in descending order.\nAnswer: 2027, 1, -3, -37, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**0)\/s)**(2\/35)*(s\/s**(-1))**(12\/11) assuming s is positive.\nAnswer: s**(862\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.2, -0.3, -6663, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 5*y**2 - 6*y - 21. Let q be d(-5). Let l be 4\/6 + 6*(-124)\/q. Let m = -80 - l. Solve -2*g + m = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 2, j: 1, g: 1}. Give prob of sequence ua.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1155.016 + 0.1\nAnswer: 1155.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(7 - 3 - 2). Suppose n = 5*j - 8 - 32. Let q be j\/(-4) + 2 + 0. Is q <= -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 r when three letters picked without replacement from icirririic.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -2 (c) -4 (d) -0.07 (e) 2\/201 (f) -55\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (18444\/(-1908))\/(-2 + 30\/(-18) - -4*1)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2 - 2930*x - 1239375 = 0. What is x?\nAnswer: -375, 3305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13*80\/(-13520)*-143\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -69*t - 1. Let l(x) = -139*x - 2. What is 5*i(s) - 3*l(s)?\nAnswer: 72*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -237*w - 94511. What is s(-399)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**3 + 182*p**2 - p + 34. What is the remainder when 1707 is divided by k(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 292\/17, 2\/7, -3, 1, -149?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*u**4\/3 - 4720*u**3\/3 - 19046*u**2 + 52392*u - 32760 = 0. What is u?\nAnswer: -13, 6\/5, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5847314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1 + (1 - -15). What is the remainder when 32 is divided by (-2)\/(-1 + 15\/s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 5*f + 0*f)*(1 + 0 + 1) - 38*f + 3*f - f + 0 + 0 + 44*f + 9*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 9*m - 12. Suppose -5*y - 5*j = -j - 31, -2*y = -5*j + 14. List the prime factors of m*((24 - (-2 + -2)) + y).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 133*i**5\/5 - 5*i**3\/3 - 7*i**2\/2 - 116. What is the third derivative of l(r) wrt r?\nAnswer: 3192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -490*c - 20410. Give q(-41).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - 1) + (-144 - -132) + 9 + 0 + -6.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7332 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -23\/2. Suppose 2 = 2*t + 2*d - 0, 4*t - 5*d = 22. Sort -1, s, t.\nAnswer: s, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1238*h**2 + 1231*h**2 - 3703*h**2 + 1204*h**2.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 11:50 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122864?\nAnswer: 2, 7, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4960*v - 19189 wrt v.\nAnswer: 4960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*i - 117. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 12*p**2 - 9*p - 14. Let q be i(11). Suppose z - 5*z + 20 = 0, -z = -5*v + 15. Solve 0 = v*x - 12 - q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 7664886.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + i**2 - 12. Let u = -130 - -130. Determine g(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 5*h**2\/2 - 4*h - 19. Determine f(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486205737 is divided by 2484?\nAnswer: 2481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6. Let i(z) = -z**2 - z - 6. Let h(c) = 3*i(c) + 4*l(c). Factor h(x).\nAnswer: -3*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39390*o**4*w**3 + 1000*o**2 - 10*o*w**3 + 2*o wrt o?\nAnswer: -945360*o*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 422 + -243003?\nAnswer: -242031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109932964.\nAnswer: 2, 27483241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:39 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)\/sqrt(4) - 1*sqrt(567).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -129831*n - 7400373. Determine l(-57).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102222 (base 3) to base 15.\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i - 15*i + 5*i = -360. Calculate the remainder when 3118 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, s: 1, t: 1, j: 1, k: 2, y: 2}. Give prob of picking 1 s, 1 y, and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8.003*-69.2\nAnswer: 553.8076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-102)*1*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34a7e - -1?\nAnswer: 34a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5010479, 5010593, 5010793, 5011085, 5011475, 5011969, 5012573?\nAnswer: 5013293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 - -212. What are the prime factors of y?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/7)\/(h**(-7)\/h))**31 assuming h is positive.\nAnswer: h**(1612\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*c - 41*c + 5*o = -26, -5*o = 3*c + 24. Let p(g) = -g**2 - 9*g - 10. Let b be p(-7). Solve 0*k = -k - b*z - 12, -k = -c*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, 44, -4 in descending order.\nAnswer: 44, 5, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -s. Suppose -4 = -w + 2*d, -5*w - 4 + 12 = s*d. Suppose 50*b - 166 = -16. Solve -b*i + k - 9 = -i, -5*i = w*k + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2470 + 116*c**2 + 15*c + 1214 + 1257)*(0*c - c - c + (4 - 2 - 3)*(-3*c + c + c) + c + 3*c - 5*c) to the form u*c**3 + h*c**2 + p + b*c and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 581*p + 533 wrt p?\nAnswer: 581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + w + 8, w - 135 = 4*a - 136 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 + -103. Suppose -c = 7*c - z. Let a(t) = -7*t + 17. Let p be a(c). Solve -2 = -w + p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h + 2. What is s(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5040 by 80.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7316 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -73. Let q(r) = -r + 12. Let n be q(10). Solve 0*s - n = 2*t + s, -t - s = i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 23 = 46*p - 48*p, -2*p - 8 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20650505 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14133655?\nAnswer: 5, 83, 34057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**5\/s*s*s))\/s**(-2))\/(s*s**(-2\/9)*s*s**(-5\/3)) assuming s is positive.\nAnswer: s**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2040 + 2054. Let u(c) = -3*c - 19. Calculate u(w).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r + 5. Let k(j) = -2*j + 2. Let l(h) = -2*a(h) + 5*k(h). Let x(q) = -4*q**2 - 78. What is x(l(d))?\nAnswer: -16*d**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-12) + 38\/8. Suppose 3*s = -s + 8, 56 = -q*v + 3*s. Let p = v - -14. Solve -4*c + 16 = p*u, -8*c - 4*u + 17 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 4) to base 13.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 6*i - 8. Let o be z(6). Let u = o - -11. Suppose -2*r = u*r. Solve -q - 2 = v, 3*q + r*q = 5*v - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 24. Let s(f) = 3*f + 41. List the prime factors of s(z).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g - 4206 - 630 = 0. Does g = 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 223*d - 150*d. Let s(b) = -9*b + 46. Determine s(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Suppose 1 - 3 = -q. Suppose -2*g + g + q = 0. Solve -j = g*j + o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 9*m - 5*m + 16 = 0, -1 = s - 3*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-386)\/(-12) + (-8)\/48 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 4 = 23*c. Let u be (c + -3)*(1 + (-71)\/1). Let t = u - 53. Calculate the highest common divisor of t and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 s, and 2 x when four letters picked without replacement from {c: 3, s: 3, x: 3, f: 2, e: 1, t: 2}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-3 + -92)*6\/(-10). Let b = -56 + c. Let v(o) = 5*o - 3. Calculate the smallest common multiple of v(2) and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 0, 9*y + 156 = -2*g + 4*y. Let d = g - -114. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 10*r**2 - 11*r + 5. Suppose -11 = d - 2*d. Let t be q(d). Solve -9 = -t*p + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 4332975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/388 and 55\/1356382.\nAnswer: 263138108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1219, -4826, -10837, -19252?\n\"Answer: -1202*f**2 - f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-11 - -6) - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -2*f**7\/945 + 11*f**6\/270 + 4*f**5\/135 - 22*f**4\/27 + 3*f**2 + 5*f - 13. Find m, given that q(m) = 0.\nAnswer: -2, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/5)*v)\/v**(-1\/28))**(-39) assuming v is positive.\nAnswer: v**(-13299\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 2*s + 2. Let v(j) = -39*j**2 - 27*j - 27. Let x be (15 - 6)\/(4\/12). Calculate x*i(g) + 2*v(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7420 (base 8) to base 10.\nAnswer: -3856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 303, 419, 537, 657, 779, 903?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -214 - -243. Solve -27 + c = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -13. Which is greater: 1\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**2 + 52650*t - 113914705 = 0?\nAnswer: 3043, 7487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -327 - -338. Which is the smallest value? (a) q (b) -1 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14173130 divided by 5\nAnswer: -2834626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -978, -976, -974?\n\"Answer: 2*t - 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 30 + 2. Let w(o) = -2*o + 105 - 104 + 0*o. Determine w(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 6*k**2. Let m(c) = 9*c**3 - 215*c**2 + 5*c. Give m(a) + 4*o(a).\nAnswer: a**3 - 191*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(1008) + sqrt(1008))*-1 + ((sqrt(1008)*-1 - sqrt(1008)) + -2 - sqrt(1008) - sqrt(1008) - sqrt(1008) - sqrt(1008)))*-1 + -5)**2.\nAnswer: -576*sqrt(7) + 64521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3363 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(100\/(-45))*(-8)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-327)\/(295935\/(-2534))*220\/(-14)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.714 - -15.796. Which is smaller: h or 0.9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 192 - 63. Suppose 33 = -3*z - j. Let w be (6\/z)\/(2\/6). Sort w, -0.4, -0.5 in descending order.\nAnswer: w, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ece (base 16) to base 7\nAnswer: 14023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -26, -51, -88, -137, -198, -271?\n\"Answer: -6*v**2 + 5*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(-33 + 33 + 31*n) as z*n + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -154 - 3?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -1. Let b be (1 + -10)\/(t\/(-27)). Let z = 15 - 6. What is the greatest common divisor of z and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -83, -346, -785, -1400?\n\"Answer: -88*q**2 + q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5886 = -13*y + 6672. Calculate the greatest common divisor of y and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -1518.6?\nAnswer: -7593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (84\/(-1))\/((-2)\/2). Let n = 416\/5 - i. Which is the closest to -2? (a) -3 (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**6\/42 + 8*y**5\/35 - 25*y**4\/28 + 38*y**3\/21 - 2*y**2 + 8*y\/7 - 20. Factor s(a).\nAnswer: -(a - 2)**3*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2))**(-36)*(p**(-1))**(-24))**(-8\/7) assuming p is positive.\nAnswer: p**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 + 61. Let f(u) = u**2 + 1. Let h(q) = -6*f(q) + z(q). Let v(t) = t**2 + 2*t. Let w be v(-2). Is h(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 625027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 - 144*k**2 - 6. Determine p(-48).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224714.\nAnswer: 2, 7, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -536419 - -926419. Round j to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1498 = a, h + 16*a - 1526 = 19*a. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2282*c - 41. Let s(h) = 3424*h + 66. Determine 5*s(b) + 8*u(b).\nAnswer: -1136*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/16974 and -91\/738.\nAnswer: 16974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3687\/7 + 527. What is the biggest value in -0.1, f, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 - g**2 - 5*g**2)*(-4*g**2 + g**2 + 4*g**2 + (-g + g + g)*(0*g + 2*g - 4*g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u + 33. Let o(x) = -2*x - 17. Suppose -5*b = -12 + 37. Let n(t) = b*o(t) - 3*v(t). Let k be n(-7). Solve k = -2*c + 3*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9 = 0, 4*y - i - 223 = 106. Let m(h) = -7*h - 10. Let t be m(-10). Let a = y - t. Calculate the greatest common divisor of 46 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {j: 8, k: 8, g: 1}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2814626896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10139.3*0.08\nAnswer: 811.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 41534268 divided by -2218\nAnswer: -18726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190419267*n**2 + 239010*n - 75 = 0. What is n?\nAnswer: 5\/7967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/180 + 3*s**2\/2 + 4*s. Let o(c) be the first derivative of b(c). Solve o(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 1694938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2196 and 1055178.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 978.6178 hours in milliseconds?\nAnswer: 3523024080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-432)\/(-10) + 2\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.244 + 0.044. What is the third biggest value in a, -6, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1966 divided by 2.\nAnswer: -983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -67320 divided by 1530\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -254*l + 244*l + 30 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 + g**4 - 3*g**4 - 4 + (6*g + 2*g - 10*g)*(-3*g**3 + 4*g**3 - 3*g**3).\nAnswer: 2*g**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31482, 105156, 227930, 399798, 620754, 890792?\nAnswer: 1209906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2. Let j(b) be the first derivative of b**5\/120 + b**3\/3 - 33. Let m(i) be the third derivative of j(i). Give q(m(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*v = -8, -5*h + 24 = -v - 0*v. Suppose 11 + h = d. Let g(x) = 11 + x + d - 27. Let k(j) = -7*j**2. Give g(k(o)).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 720 and 1182000.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from pppypppyppppyp.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 - 3*i**2 + 3*i**2 + (3*i - 3*i + 2*i**2)*(0 + 1 - 2) + 5*i**2 + 37 - 37 as g + j*i + k*i**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -185 - -187. Let t be (-6)\/(-3 + 4) + 3. What is the nearest to 1\/2 in c, 3, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 0.066\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 not equal to -2756.144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1123617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 15*c - 199. Let m = -835 - -812. What are the prime factors of i(m)?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, -0.1, -2 in decreasing order.\nAnswer: 95, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 116010?\nAnswer: 116012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -456, -414, -338, -216, -36, 214, 546?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**4\/6 - 2*m**3\/3 - 5*m**2. Let y be x(1). Let q be (y\/16)\/(1\/62). Which is smaller: -32 or q?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 499.894 - -20379\nAnswer: 20878.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -51*g**2 + 10386*g + 20976 = 0?\nAnswer: -2, 3496\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 0*l**3 - 3*l**3)*(5 - 3 - 1 + (-1 + 0 - 1)*(4 - 3 + 1) + 8 + 2 - 2).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 24. Let g(l) = -2*l**2 - 50*l + 16. Let h be g(-25). Suppose 5*o = 5, h = 5*q - 4*q + o. Calculate the remainder when d is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = 3. Let o(n) = 2*n**3 + n. Let k be o(a). Let c(w) = -w**3 - 3*w**2 - 2*w - 4. Let b be c(k). Solve -9 = s + b*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 70, -564, -1452?\nAnswer: -2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/(t**(-2\/17)\/t))\/t)\/t)\/t**(-16))**(-2\/5))**(-2\/27) assuming t is positive.\nAnswer: t**(1096\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*n + 55*n = -240. Solve n*d = -2*b - 21, 15 = -0*d - 3*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, 0, -6, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y - 0. Solve 0 = -2*j + 3*a + 25, -y*j + 4*a = -23 - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/16*(-8)\/(-6)*(-3)\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5*h**6*h**1*h\/h**(-1\/9) assuming h is positive.\nAnswer: h**(118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 4*(-2 + sqrt(363) + -3) + -3)*5)**2.\nAnswer: -48400*sqrt(3) + 157300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 200738641\/6 bigger than 33456441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 11*w**2 + 2*w + 23. Suppose -9*g - 61 - 38 = 0. Let d be f(g). Solve n - 3 = -4*x + 6, -n + d = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 11) to base 9\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*y + 90, 0 = -t + 6*t + 2*y - 78. Calculate the least common multiple of t and 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.38174 + -9.251. Round i to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 + 319 + 983 + 14)*(-3*l + 2*l - 4*l) to k*l + f and give k.\nAnswer: -6670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 19. Let s = b - -6. What is the least common multiple of s and 11?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 262\/50035 or 0?\nAnswer: 262\/50035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 2, 136 in descending order.\nAnswer: 136, 2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -473, -1609, -3825, -7481, -12937, -20553?\nAnswer: -30689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 1 + 0 + sqrt(68))*6.\nAnswer: 6 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396131415 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 1 - 1)*(-197 + 69 + 49 + 79 + 10283*k).\nAnswer: 10283*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/1 - (-1 - -2). Let p = o - 1. Calculate the lowest common multiple of 8 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - 65. Calculate the lowest common multiple of 13\/s + 31\/6 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 207*m - 10440. What is p(-119)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -163 in decreasing order.\nAnswer: 0, -4, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 21000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, a: 1, f: 1, n: 8, v: 2}. Give prob of picking 1 a and 1 n.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/783 and -26\/3?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -85100564 + 4?\nAnswer: -85100560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(130)*1)\/((sqrt(70)*2)\/sqrt(7) - sqrt(10)*2*-5).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.4 times -0.5?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 + -3. Suppose -2*l + 13 = -g, g - 5*l = 4*g + 50. Let f be (-4)\/g - 81\/135. Sort f, d, -5, 1 in descending order.\nAnswer: 1, d, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4169503 and 30327.\nAnswer: 137593599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, w: 1, p: 5}. What is prob of picking 2 d and 2 p?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5277 is divided by 573.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*a**5*c - 7*a**4 + 5150*a**3*d - 5*a**2*c*d + 2*a**2*d - 4*a**2 + 3*a*c - c*d - c - 29 wrt a.\nAnswer: -4320*a**2*c - 168*a + 30900*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*n + 32*n. Solve n*a - 16 = 4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 39, 72, 113?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -4 + 3 + -3. Solve -8 = q*r - j + 3*j, -j - 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -11. Suppose v + d - 41 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 8, -1 in ascending order.\nAnswer: -8, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-3\/2)))**39*(((s\/s**2)\/s)\/s)**0 assuming s is positive.\nAnswer: s**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - d - d = 0, -5*h + 3*d + 19 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 60*m**2 + 1138*m - 5911. Determine f(-76).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - -43105?\nAnswer: 43113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 + 4*b - 2*b - b.\nAnswer: 6*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 6*z - 12. Let x be p(-9). What is l in -7*l**4 + x*l**2 - 5*l**5 - 9*l**2 + l**4 + 8*l**5 + 2*l - 5*l = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) -0.5 (c) -1362 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001205278 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 1\/((-1)\/(-2)). Suppose -3*l - 18 + a = 0. What is the tens digit of l\/(-4)*(-380)\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.8 - -2.2. Let v = -2.8 - -13.8. Let q = v - s. Which is the second smallest value? (a) 0 (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/(-15) + 4*(-1)\/(-10). Suppose -2*y = -2*k + 1280, -h*k - y + 2566 = y. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -18658.\nAnswer: -37316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1 + 0 + sqrt(243))*-2.\nAnswer: -36*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 + -3 + (8 + 5 - 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 - 2589920?\nAnswer: -2589900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c - 12. Let s be k(-3). Suppose s = -2*r + 6*r - 2020. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 7102*r**5\/5 - 670*r + 1957. What is the first derivative of m(y) wrt y?\nAnswer: 28408*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngie when four letters picked without replacement from {n: 1, i: 2, g: 1, e: 1, z: 1, y: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(sqrt(3)*-2*-1 - sqrt(3888)).\nAnswer: 4 + 34*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -1780*d**7\/7 + 442*d**3\/3 + 2*d + 1064. What is the third derivative of a(l) wrt l?\nAnswer: -213600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2898 and -1423?\nAnswer: -4123854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.72 - -1.59. Let k = -0.972 - x. Let l = k + -0.13. Round l to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1164 + 119 = 1480*w - 1408*w + 1187 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-15) + 27\/(-5). Let a(g) = 6*g - 3. Let q(x) = 4*x - 2. Let z be -1 + (-1 - -10 - 1). Calculate b*a(d) + z*q(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2465 (base 8) to base 12\nAnswer: -931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + l - 9 = -3*x, x = -5*l - 11. Suppose 0 = -4*v - 0*v - x*p, -5*p - 3 = 2*v. Solve -b - 1 = v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - 2e42?\nAnswer: -2e14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609067007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, f: 4}. What is prob of sequence fj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (322\/72 - (-9940)\/(-4473))*64\/(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnnntnnnntnnnnnnntnn. Give prob of picking 3 n.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h**2 - 135*h + 120. Let b be l(15). Calculate the greatest common divisor of 384 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17818 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/10*f**5 + 3\/2*f**3 + 0*f + 0*f**2 + 0 - 4\/5*f**4.\nAnswer: f**3*(f - 5)*(f - 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20225 is divided by 2204?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4482 is divided by 499.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -26 + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/2 + u**3\/6 - 3*u. Let g(w) = w**2. Let q(r) = -2*d(r) + 10*g(r). Factor q(k).\nAnswer: -2*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 8:43 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59300715 to the power of 1\/2, to the nearest integer?\nAnswer: 7701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 0 + 0 + 2*y - 5*y + 4*y + (-4 + 1 + 2)*(-y + 0*y + 0*y) - 5*y + 3*y + 0*y - 3 + 3 + 2*y + 264 - 264 - 23*y.\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 34*k**2 - 140*k + 21. Determine s(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14d41a (base 15) to base 4\nAnswer: -3311301103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 0, -252*f + 253*f - 416 = -c. Calculate the greatest common divisor of 192 and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f\/(f*f**2)*f)\/f**(-12))\/((f*f\/(f\/(f**0\/f))*f)\/f**(-1\/10)) assuming f is positive.\nAnswer: f**(129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-8\/11)*((((r*r**(-6))\/r)\/r)\/r)\/r*(r*r**(-15)*r)**(-2\/7) assuming r is positive.\nAnswer: r**(-463\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 29*a - 32*a + 855, -15 = -3*a. Solve l - 17 = 5*y, -5*l - n*y = -211*y - 13 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dypd when four letters picked without replacement from {h: 1, d: 2, p: 2, y: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2650160*b**4 + 199694*b - 9.\nAnswer: -31801920*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 5*b + b - 2)*(-5*b + 4*b + 6*b).\nAnswer: 15*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -12*s**2 + 47*s + 981. Calculate y(-13).\nAnswer: -1658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7842304.\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/15 and 31\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/14)\/((725\/(-105))\/145)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/2)*a)\/(a**(1\/21)\/a))\/((a\/(a**(-21)*a))\/a*a**29*a) assuming a is positive.\nAnswer: a**(-2081\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1124 and 20513.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(2\/15)*u*u)*u*u**(-2\/3)\/u*u**(3\/5)\/(u\/(u**(-5)*u)) assuming u is positive.\nAnswer: u**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/90195 and -19\/737022?\nAnswer: 25795770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzuzzzuuzuuzuuuzzu. What is prob of picking 3 z?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.2? (a) -4 (b) 6 (c) 0.4 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16047139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + g - 2. Let p be o(-2). Suppose u - 80 - 55 = 0. Suppose -q = -p*q + u. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13608 + -0.08608. Put 18, 5, 4, t, -0.1 in ascending order.\nAnswer: -0.1, t, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 7. Let s be p(6). Let i = 18 - 13. Suppose -22 = -4*h - 2*t, 0*h - 2*h - i*t + 31 = 0. Solve -4*f - s = -4*l + h, -f - 7 = -3*l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -46, -1, -5 in increasing order.\nAnswer: -46, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300016 and 103037848?\nAnswer: 8824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 9*c + 15. Give v(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 26 + 5 + -14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 630313 (base 12) to base 7\nAnswer: 16136262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1200 from 677.\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 268\nAnswer: 5\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/51101 or 1?\nAnswer: 1\/51101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.6 - 17. Let w = 29 - 143\/5. Which is the smallest value? (a) 1\/8 (b) g (c) w (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n, 0*n + 140 = d + n. Suppose -17*i = -299 - 41. What is the greatest common factor of d and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(4 + 7\/(-2)). Let s = 52 - c. Suppose -4*q = 3*g + q - 9, 2*g + 5*q = 6. Solve 0 = g*y + 5*x + s, -3*x - 27 = -4*y - 0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -0.2, -52, 2\/13, 2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271667.\nAnswer: 11, 24697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j - 37*j. Does -1\/45 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15985530011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 211 = -196. Let h be 58\/k + -7*(-12)\/630. Solve 4*i + 28 = h*f, -5*f = -4*i - 2*f - 26 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18532 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 7:09 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5 = -103. Is (-12971)\/i - 2\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4005 - 2334. Let o be 314 + (2 - 2)*9\/(-9). Suppose k - o = x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*m + 4*o - 3784, 4*o = 8. What is the least common multiple of 40 and m?\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 10101010000100101011110?\nAnswer: 10101010000100101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0068116 to 4 dps.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 160117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471281877.\nAnswer: 3, 11, 233, 20431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -159*p - 1352 + 1357 + 37*p. Let o be i(-4). What is the greatest common factor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19ed5 - -22?\nAnswer: -19eb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - -22. Let k = 27 - c. Let p = k + 23. What is the highest common divisor of p and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 8 = -2*t, -97*l + 102*l - 3*t = -26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127807 and 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 40*l**2 - 8*l - 48. Let b(r) = -2*r**2 + r + 2. Give -8*b(i) - h(i).\nAnswer: -24*i**2 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 50\/3. Let o = -0.03 + 0.53. Suppose 4*b - 12 = -4*z, z - b - 3 + 4 = 0. What is the smallest value in o, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 5*w - 4. Let c be 3\/12 - 75\/12. What is the units digit of r(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -87*p**2 - 33*p**3 + 179*p**2 + 13 - 92*p**2 wrt p.\nAnswer: -99*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {o: 5, m: 2, s: 2, n: 9, w: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011111110101011111 - -100?\nAnswer: -1000011111110101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14599424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.233 + -0.617. Let n = -6.85000168 - z. Round n to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 18. Suppose s + w - 59 = 0. Suppose 6*t - t - s = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/3))**8\/(b**(3\/16)*b*b*b**2\/b) assuming b is positive.\nAnswer: b**(359\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4))**43)**29*(a*a*((a**2\/a*a)\/a)\/a)\/a*a**(-2\/11)*(a*a**(-6)\/a*a)\/(a*(a*a\/(a*a\/a**(1\/2))*a)\/a) assuming a is positive.\nAnswer: a**(-13967\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7866 and 6226813.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = y + 4, -7*y + 9*y - 7 = n. Solve -2*x = -n*i + 19, 15*x = 12*x + 5*i - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 255, 512, 771, 1032, 1295, 1560, 1827?\n\"Answer: r**2 + 254*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -546 or -3277\/6?\nAnswer: -3277\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2120 + -7aa0?\nAnswer: -5980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/6*24\/90. Let k be (3\/4)\/(1\/(-2)). What is the nearest to 0 in k, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -12 - 3*k**3 + 2*k**3 + 5. Let q = 9 - 2. Let z be (-96)\/(-18) + 3\/(-9). Let i(p) = p**3 + 5. Determine q*i(h) + z*b(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byz when three letters picked without replacement from zhhhynzyykkb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*j + 10 - 522. Let z(h) be the third derivative of 0*h + 5\/24*h**4 + j*h**2 + 5\/3*h**3 - 1\/24*h**6 + 0 - 1\/6*h**5. Solve z(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - s)*(-2 + 1 + 0) + 1 + s - 1 - 3*s + 3*s + s - 16*s + 94*s + 48*s as z + h*s and give h.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*m - 0*m, -4*h + 10 = 3*m. Calculate the remainder when 45 is divided by m\/3 + (35\/15 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -9*h**6\/40 + h**5\/30 + h**4\/24 + 3*h**2. What is the tens digit of p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26495, 52992, 79489, 105986?\n\"Answer: 26497*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccmc when four letters picked without replacement from cmmmcmmmcccmm?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142164.\nAnswer: 2, 3, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (90\/21)\/(-2)*42\/24. What is the fourth smallest value in 0.5, 0.4, 0.2, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*q + 103*q + 24 = -2*n, -n - 10 = -2*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(700)*1*-4*-5 + ((sqrt(700) - (sqrt(700) + (-3*sqrt(700) - sqrt(700))))*2 - (2 + sqrt(700) + 1)))**2.\nAnswer: -2820*sqrt(7) + 1546309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 4*q**2 + 3*q. Let t be w(-3). Let h(i) be the first derivative of t*i**2 - 1\/9*i**3 + 1\/4*i**4 - 1 + 0*i + 1\/18*i**6 - 1\/5*i**5. Factor h(m).\nAnswer: m**2*(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -3, 2, -7 in descending order.\nAnswer: 35, 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5050003*m**2 - 4*m - 2. Let c(n) = n**2 - n. Let d(l) = -3*c(l) + j(l). Let y be d(-2). What is y rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1719 + 1718.938. Which is the biggest value? (a) 17 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6979*z**3 + 1471*z**2 + z + 1?\nAnswer: 41874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 9*n - 1. Let z(g) = -2*g**2 + 17*g + 1. Let m(k) = 7*w(k) + 4*z(k). Suppose -3*b + 8*b = 15. Give m(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -8. Let p = -0.3 - 0.7. What is the third biggest value in i, p, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 31*w**4\/12 + 144*w + 2. Let f(p) = 2*p**2. Calculate f(z(y)).\nAnswer: 1922*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -3. Let a be (-6)\/63 + 2\/(-6). What is the smallest value in k, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/9 - 572*i**2\/9 + 20732*i\/9 - 20164\/9.\nAnswer: 4*(i - 71)**2*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*44.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 1 = 4*z + 3*z + 119, -4*z - 72 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.0108 (c) 2\/109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, -58, -99, -144, -193, -246?\n\"Answer: -2*l**2 - 31*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 280\/9*s + 52\/3*s**2 + 2\/9*s**4 + 34\/9*s**3 + 176\/9 = 0. Calculate s.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18325*c*m*u**2 - 6*c*u**2 - m*u + 2*m - 401*u**2 + 17*u - 1 with respect to c.\nAnswer: 18325*m*u**2 - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 2, x: 1, o: 1}. What is prob of picking 1 x and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.7, -1, -1.6 in descending order.\nAnswer: 1, 0.7, -1, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 331 = -3*k + 477, s = 2*k + 213. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*o = 160, 2*s - 5*o - 19 = 51. What is the least common multiple of 50 and s?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1976672*a. Let i(s) = -2*s. What is i(n(p))?\nAnswer: -3953344*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**4 + 21846*r**3 - 109078*r**2 wrt r.\nAnswer: -96*r + 131076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 94*c - 31)*(3*c - 3*c + c)*(-4 - c + 4).\nAnswer: 94*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m. Let s(t) = -15*t - 5 + 10*t + 3*t - 35. What is s(g(b))?\nAnswer: 12*b - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 3532.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -410 <= -408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.97 + -0.03. Let v = o + 8. What is the closest to -0.1 in v, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2746502 is divided by 3121?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t + 613 - 314 = 0 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 10012102?\nAnswer: 10012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 z, and 1 p when three letters picked without replacement from zpwurwuwurr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1841 - 915 = 212*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*c = -12, 0 = -13*o + 10*o - 5*c + 20. Suppose -2*n - 3*i = -507, o = -5*n + 2*i + 937 + 283. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -135842*o - 52. Suppose 0 = -8*b - 18 - 30. Let a be l(b). What is a rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i + 18. Let a be q(0). Let v be (4\/a*3)\/((-1)\/9). What are the prime factors of 4\/v + 1 + (-308)\/(-3)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446 + 4104 = -5*t. Let v = t + 1482. Suppose -3*p - v = -4*m - 2*p, -p + 286 = 2*m. List the prime factors of m.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 12*z**2 - 21*z - 21. Calculate w(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -854 - -853. Which is the closest to g? (a) -10 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/26 + (-1100952)\/(-14328600). Let a = 6843041\/2479950 + d. Find the common denominator of -21\/10 and a.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*i = 105*i + x - 859, -4*i + 3436 = -5*x. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 4751735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 + (-2)\/3 - 1. What is the nearest to w in -3, 2, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/5075 and -163\/117450?\nAnswer: 822150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = 4*a, 10 = 4*a - 3*a + 4*v. Let c(j) = j**2 + j + 2. What is c(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8036 - 4986. Determine x so that -128*x**2 - 3062*x**3 - 155 + 85*x + 4*x**4 + 27 - 325*x + p*x**3 = 0.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.46718 + -0.478. Let q = -109.63918 + b. Let g = 113 + q. Round g to one decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263785893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -35\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70443 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: 13410101 (base 5) to base 7\nAnswer: 1113526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 16\/5, 2\/9, -60\/29, -24?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3145 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/37888 and 101\/2048.\nAnswer: 75776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-28))\/(((-30)\/(-240))\/((-4)\/(-104)))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 + 4. Suppose -h + 0*w = -2*w + 1, 2*h + 5*w = 16. Let p be 0*(-3)\/(6\/(-2)). Which is the nearest to h? (a) -1 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 255195388?\nAnswer: 765586164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2 and -155\/378?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*q = 2769, q + 577 = k + 6*q. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*t**4 + 0 - 51*t**4 - 4 + 32 wrt t.\nAnswer: -64*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) -12 (c) -77 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 28 = 2*r + 2*p, 2*p + 7 = r. What is the first derivative of r + 31 + 13*b**2 + 44 - 5*b**2 - 5*b**3 wrt b?\nAnswer: -15*b**2 + 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 1.5. Which is the nearest to y? (a) -0.4 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -252*c**3*h**3*o**3 + 2*c**3*h**3*o + 10*c**3*h**2*o**2 + 2*h**3 + 2*h**2 wrt o.\nAnswer: -1512*c**3*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 + 6*b**2 + 6*b. Suppose -16*x - 6 = -13*x. Let l be j(x). Does 40 divide (-3124)\/(-26) - l\/(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v. Let i(g) be the first derivative of 29*g**2\/2 - 4*g + 1572. Give i(d(k)).\nAnswer: -58*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 5*l + m - 80, l = -3*m + 24. Put -1, l, -2 in descending order.\nAnswer: l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 1. Suppose -4*d = 3*b - g - 25, 0 = 4*d - 4*b + 4. Let k = d + -1. Solve -14 + 2 = k*z - 3*t, -2*t = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50026470?\nAnswer: 2, 3, 5, 13, 128273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430573851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-138186)\/(-26) - 3) + (-4)\/(-26). Suppose 0*x = 8*x - q. Suppose -8*r = -4*r - x. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 37*l = -3*l + 21*l + 1121 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -26*q**3 + q**2 + 3*q + 2. Give a(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**8\/560 + 3*l**7\/560 - l**6\/240 - 2*l**3\/3 - 15*l**2. Let g(z) be the first derivative of m(z). Factor g(w).\nAnswer: -3*w**2*(w - 1)*(2*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-91))\/(((-30)\/20)\/(6\/(-4)))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 51087399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133733435 divided by -605.\nAnswer: 221047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7826\/(-1677)*(-9)\/(-6)*74\/(-7).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 3*r + 2*r + r - 4*r + r + (-r + 3*r + 0*r)*(2 + 1 - 4) - r - 3*r + 3*r + (-73 - 59 - 138)*((2 - r - 2)*(5 - 3 - 4) - 4 + r + 4) - r + r + r.\nAnswer: -816*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or 95\/2877?\nAnswer: 95\/2877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.16 + 0.16. Which is the closest to 1\/3? (a) k (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*d = 71*d + 21. Suppose -2*n + 326 = 2*f, -8*n = -5*f - d*n + 795. What are the prime factors of f?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*m + 1, 0 = -5*z + 2*m - 2 + 21. Let i(t) be the first derivative of -3\/2*t**2 - 1 + 0*t - t**z. What is the second derivative of i(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 302823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 138036715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -222155 (base 8) to base 2\nAnswer: -10010010001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, h: 11, u: 4}. What is prob of sequence hhui?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8060 = 2*f + 6409, 0 = 5*t + 2*f - 24115. What are the prime factors of t?\nAnswer: 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 0*k - 8*o + 3 = 0, -3*o + 5 = 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107522113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 378 = -g. Let t = g + 141. Is 8\/(-2) - -2 - (t - 1230) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by -45?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 - 12*k**2 + 18*k - 8 = 0. What is k?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 18.23\nAnswer: -6.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.104 and 0.3108 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 57. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 120*a**2 + 765*a + 1350.\nAnswer: 5*(a + 3)*(a + 6)*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 820823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52085.13 litres?\nAnswer: 52085130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (6 - -11 - 19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54930 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p. Let k = -10 + -117. Let d = 219 + k. Let i(y) = -92 + 4*y + d. What is i(u(m))?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2380 and 34986?\nAnswer: 349860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -m + 9. Find d, given that 9*d**3 + 12*d + 18*d**m + 8\/3 = 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/10 (b) 1\/30 (c) 7488\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/2 (b) 1\/5 (c) -10 (d) 1379\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*h + 10*h - 9*h**2 - 19*h)*(-7*h**2 - 10*h**2 + 3*h**2) - 27*h + 27*h - 4*h**4 to the form x*h**4 + z + c*h**3 + o*h**2 + v*h and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 5*o - 14. Determine y(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 6068*q**3\/3 + 641*q + 7929. Find the first derivative of k(c) wrt c.\nAnswer: 12136*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.1144 (b) -2 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(4\/(-2*2)). Let j be (-11)\/2 - (-1)\/(-2). Let q(a) = -30*a**2 - 185*a - 29. Let u be q(-6). Sort u, j, x in decreasing order.\nAnswer: u, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**6\/6 - f**5\/12 + f**4\/12 + 799*f**3\/2 - 8*f**2 - 2*f - 19. What is the derivative of t(c) wrt c?\nAnswer: 60*c**2 - 10*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-135)*-579 - (-6)\/45. Suppose -b + 48748 = v*j - 10*j, 2*j - b = 32497. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11641)\/254439*3\/7\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-6 - (-3 - -1)) + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 667*j**2 - 18*j + 94. Is c(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 29849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 14*d + 4*t - 604, 3*t + 6 = 0. Calculate the smallest common multiple of 63 and d.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(30)\/sqrt(6)*-1 - 2*sqrt(245)).\nAnswer: 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -120400 to the nearest one thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 + 3956*k**2 + 106885*k\/3 + 31672.\nAnswer: -(k - 11877)*(k + 1)*(k + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -207*l + 206*l. Suppose -197 + 57 = -5*d. Suppose -4*u - 5*v = 2 - 6, -2*u + 4*v = -d. Solve -4 - u = l*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wowwwwoww. What is prob of sequence wow?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140 + 136. Let c(s) = -s - 5. Let x(r) = -r - 4. Let q(b) = v*c(b) + 5*x(b). Let z(u) = -165*u**2. What is z(q(w))?\nAnswer: -165*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 807?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 6*k + 11. Let o(b) = -3*b - 4. Let q be 4\/(-1 - (-3 + 3)). Let p be o(q). Is h(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.043 and -3?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 233898 and 55690.\nAnswer: 1169490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004967 to 7 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 2 + 19*j + 3)*((0 + 2 - 3)*(-19 - 5 + 39) + 1 + 1 + 0).\nAnswer: -195*j - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9460548933 rounded to two decimal places?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5292861 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -86. Let k = 49 + v. Let w be 4\/(-14) - k\/(539\/(-1974)). Calculate the greatest common divisor of w and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*62\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6866 + 4918 = -143*f - 4089. Let v(y) = 4*y**2 + 4*y - 5. Let d be v(-6). Let s = d + f. Solve -k = -s*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -16. Let q = -9 + c. Suppose 2*f + q*f - 226 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = w. Suppose w*l = -5*d + 17, 0*d - 2*d - l = -5. Solve d = 2*m - m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 + 7*v**2 - 368 + 402. Let d(c) = c**2. What is p(d(u))?\nAnswer: 4*u**4 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*d**2 + 753*d**2 - 6289*d**2 - 3669*d**2.\nAnswer: -9376*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55860)\/(-4284) + (-4)\/102.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25979614 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 14*l**2 - 44*l - 121. Determine b(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33491929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*i**2 + 158*i**2 + 120*i**2 + (-2*i**2 + 4*i**2 - i**2)*(13 - 2 + 0).\nAnswer: 273*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 - -30. Let j = q + -122. Solve -2*c + j*b = -b + 8, 2*b - 24 = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-12))\/((-3)\/(-12)). Put 1\/6, -1\/7, g in descending order.\nAnswer: 1\/6, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(1539) - 2*sqrt(475)*3)**2.\nAnswer: 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1551 + 85163?\nAnswer: 83512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(sqrt(68)*-2 - sqrt(68)))\/(-5*-2*sqrt(4)*5).\nAnswer: -18*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56704749.\nAnswer: 3, 1783, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 808163*n**2 + 2*n + 27. Let b be w(-7). What is b rounded to the nearest one million?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 84 - (-4601 - -4490).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -818, -1639, -2460, -3281, -4102, -4923?\n\"Answer: -821*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*g - 55, -3*b = 115 - 130. Solve 4*y - 3*o = -22, -y - 2*o + g = 3*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -543\/7 - -3265\/42. Let g(c) be the second derivative of 0*c**3 + 0 + 0*c**2 + 0*c**5 - o*c**4 + 7*c + 1\/15*c**6. Find u such that g(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73425440 by -1760.\nAnswer: -41719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16033, -16028, -16019, -16006?\n\"Answer: 2*y**2 - y - 16034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1319 - 639. What is the first derivative of t - 704 + 40*p**3 + 6*p**3 + 46*p**3 wrt p?\nAnswer: 276*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-5)*795\/106. Suppose 68*q - n*q = -3504. List the prime factors of q.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-21))**(-2\/81)\/(d\/(d*d**(-32))*(d**1\/d)\/d) assuming d is positive.\nAnswer: d**(-823\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-1250)\/(-2496) + 2\/(-1). Let u = h + 205\/936. Factor 2\/9*y**2 + 4\/9*y + u.\nAnswer: 2*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (474 + 758 - 206)*(-2*u + u**3 + 2*u) + (-u - 1 + 1)*(-2*u**2 + 0*u + 0*u) + u**3 + 0*u**3 - 2*u**3.\nAnswer: 1027*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 127*f**3 - f**2 + 5*f - 5. Let t be w(1). Let a = -24 - -42. What is the highest common factor of t and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1700) + (sqrt(1700) - (0 + sqrt(1700))))**2*1.\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-35) + 280\/196.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**3\/3 - 3*f**2 + 1. Find the second derivative of h(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccdododddodocdoddcod. Give prob of sequence ocdo.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*z + 8*z - 16*z)*(2*z - 2*z - z) - 3*z**2 + 2 + 0 + 1 + (1 + 4 - 1)*(-2*z**2 + 3 - 3) in the form a*z + s*z**2 + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/2 + 13*r**3 - 459*r**2\/2 + 918*r - 702.\nAnswer: (r - 6)**2*(r - 1)*(r + 39)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*h + 24*h = -444 - 126 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 161? (a) 5 (b) 1\/18 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npppppppnp. What is prob of sequence npp?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 721*o - 503 + 503 to the form f + a*o and give a.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105\/114301 or 0?\nAnswer: 105\/114301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 116 = -4*a, 4*a - 6*l + 3*l = 100. Calculate the remainder when 109 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28096696019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -13*r**3 + 15*r**2 + 15*r. Let n(f) = 6*f**3 - 7*f**2 - 7*f. Let l(s) = 4*d(s) + 9*n(s). Let a(t) = 3*t**3 - 5*t**2 - 5*t. Calculate 3*a(y) - 5*l(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -511 + 513. Suppose 1 = -2*q + 3*s - 5, 16 = -p*q - 2*s. Let u(v) = 4*v - v + 7 - 4*v. Give u(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6972.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1551 divided by -1551?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 <= 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 4, 1\/10, -1\/6, 5\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**3\/3 - 4*p**2 - 5*p + 4. Let s be 129*((-6)\/3)\/6. Let n = s - -51. Calculate v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*b + 32 - 32 + 3*b - 5*b + b + (0 - 1 + 3)*(2 - b - 2))*(b - 3*b - b)*(-14 + 1 + 50) as s*b + c + d*b**2 and give d.\nAnswer: 6438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/9)\/n)\/n**(2\/11) assuming n is positive.\nAnswer: n**(-73\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 0, -17, 5 in increasing order.\nAnswer: -17, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/7 + 20976*z**2\/7 - 54513450*z\/7 - 2552198588\/7.\nAnswer: -2*(z - 5267)**2*(z + 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-139884)\/60 - 4\/(-10). Let w = -1359 - m. Calculate the remainder when 35 is divided by (2\/6)\/(18\/w).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (0 + 2 - 1)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -378.4 - -690.827. Let y = r + 41.76. Let x = y - 354. What is x rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnwwzww. Give prob of picking 4 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1. Let w(u) = 3*u + 267. Let o be w(-77). Let p(a) = 2*a**2 - 18. Give o*h(i) + 2*p(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/27))**(1\/3)\/(q**4)**(-7\/2) assuming q is positive.\nAnswer: q**(1159\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -104\/7 >= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 16*v - 6. Give h(8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1693 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*d**2*q**2 - 77*d**2 - 7*d*q**3 - 17734*d*q**2 + 4*d*q + 20*d - 3*q wrt q.\nAnswer: 138*d**2 - 42*d*q - 35468*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8217 and 1551?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**5\/180 + a**4\/12 - a**3\/2 - a**2\/2 + 3*a. Let x(g) be the first derivative of z(g). Factor x(p).\nAnswer: -(p - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/3024 and 1\/616.\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331 divided by 6586?\nAnswer: -1331\/6586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223 by 1172909.\nAnswer: 223\/1172909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggmg when four letters picked without replacement from {g: 5, m: 11}?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*t + 19, t + 8 = 4*r - 5. Let g(u) = -u - 11. Let w be g(-14). Let h(l) = 3*l**t - l**3 - 2*l**w - 2*l**2 + l**3. Calculate h(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41*17\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2168 or -2166?\nAnswer: -2168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8842 + -62243?\nAnswer: -71085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 40a65 (base 12) to base 6\nAnswer: 1451005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/156*1*3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -1117 + 1089, 2*y - 4*l - 2352 = 0. Calculate the least common multiple of y and 1309.\nAnswer: 13090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 407287707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + 9*v**2 + 2*v**2 + (-4*v**2 + 5*v**2 + 0*v**2)*(-2 + 5 - 4) + 3 - 3*v**2 - 3.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -35 + 4 + -26?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 5*l - 5 = -2*a, -2*l + 10 = 2*a. Let c = -2 - -3. What is the smallest value in l, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3))**(-1\/21)\/(k**(-1\/9)\/k*k**6))\/((k**(-1))**24)**(-36) assuming k is positive.\nAnswer: k**(-6082\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 5*u - 8, -3*x = -4*u + 7. Let s be (-2 - x) + -3 + 2. Let y = -3 - -3. Put y, 2, s in descending order.\nAnswer: 2, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-3 + (7 - -6)) - (1 - 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -419, -817, -1211, -1601, -1987?\n\"Answer: 2*o**2 - 404*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/6 and 76\/609.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-52766)\/35)\/((-12)\/(-10))*-3.\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2290, -102, -2 in increasing order.\nAnswer: -102, -2, 2290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2 - 7. Let w be (-8)\/(-40) - (-314)\/k. Let s = 96 - w. What is the greatest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -517*f. Let j(z) = -12*z + 46*z - 20*z - 16*z. What is j(r(g))?\nAnswer: 1034*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*w - 4. Let r be ((-159)\/11)\/3 + (-12)\/66. Sort 2, w, r in decreasing order.\nAnswer: w, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 49?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2299447931.\nAnswer: 11, 17, 23, 534631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 214*w + 0*w**4 + 1\/2*w**3 + 0 + 15\/2*w**2 - 87\/20*w**5. Find the second derivative of k(g) wrt g.\nAnswer: -522*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15030 (base 8) to base 15.\nAnswer: 1ea5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1391.579 (b) 0.03 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 52.19856 and -536.94.\nAnswer: -484.74144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58, -50, -52, -70, -110, -178, -280, -422?\n\"Answer: -q**3 + q**2 + 12*q - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0. Let r = 4 - 3. Let w = -2.65 + -0.35. Sort r, m, w in decreasing order.\nAnswer: r, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -344.919 and -440.\nAnswer: 151764.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4551523 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116.28 - -111. Let c = -5.28000241 - s. Round c to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -163*z**2. Let h(i) = 2*i. Determine h(r(n)).\nAnswer: -326*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - a + 1 - 5 = 0, -14 = -3*f + a. What is the remainder when f is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 18, -3, 131 in increasing order.\nAnswer: -4, -3, 7, 18, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 + 3*h**4 - h**4)*(3 - 1 + 0) + (6*h + 10*h - 5*h + (0*h - h + 2*h)*(-3 + 3 + 2))*(-4*h**3 + 3 - 3).\nAnswer: -48*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a decade in months?\nAnswer: 1608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*h**2\/2 + 43167*h\/2 - 1599 = 0. Calculate h.\nAnswer: -533, 2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31446 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 0.037120238757?\nAnswer: -4.037120238757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 855 divide 26691140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and -60?\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22274430*o**3 + 3440099*o - 1 wrt o.\nAnswer: -133646580*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {g: 13, b: 5}.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*f**2 + 1638*f - 1638*f)*(-13*f + 4*f + 5*f) in the form w*f + h*f**3 + b*f**2 + m and give h.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 23730\/600)\/(0 - 12\/10)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13*o**3 + 13*o. Let p(b) = -b. Let t be -1*(12\/(-15))\/((-30)\/(-75)). Suppose -2 = -3*j + y - 43, -2*j = t*y + 22. What is j*p(f) - i(f)?\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhttttkktkkttttkttt. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2606 - 8407 + 33*s**3 + 5796.\nAnswer: 33*s**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -1, 2, -4 in increasing order.\nAnswer: -60, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 0) + -155 + 160\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/(-3)*(14\/16 - (-12)\/(-24)). What is the biggest value in 5\/2, 3, -15, m, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeehcces. What is prob of picking 1 e and 1 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21153073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 479, 826, 1175?\nAnswer: 1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 12) to base 11\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 87003?\nAnswer: 348012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*u - 486. Let g = u - -697. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 3, -69, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 24, 9, -0.3, -0.71, 1, -25?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 215 or 214?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-760)\/266*91\/(-78).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*q, -12 + 116 = 2*d - 2*q. Suppose -46 = -4*o + 14. What is the remainder when d is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**4\/6 - 2*b**3 + 14*b**2. Let z be q(4). What is the third derivative of 20*j**4 - 32*j**4 + 54*j**4 - z*j**2 wrt j?\nAnswer: 1008*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyaynyn.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 5*y - 1. Let j(d) = d**2 + 3*d + 3. Let g be j(0). Let a be 2\/(-6)*g*(-8)\/(-2). Calculate c(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**8\/20160 + p**7\/1680 + p**6\/360 - p**5\/6 + 10*p**2. Let w(m) be the third derivative of o(m). What is w(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 156 + -36 - (1 + -1 + -3). Suppose 0 = -d - 23 + n. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*r - 146, -2*r = 1 + 3. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203360.38 rounded to the nearest one hundred?\nAnswer: 203400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2706 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 - 3*d**2 - 77*d - 3. Let m(r) = -r**2 + r - 1. Give 3*m(z) - q(z).\nAnswer: 3*z**3 + 80*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p = -3*o - 13, 5*p + 4*o + 2 = 0. Suppose 2*z + 3*b - 9 = 9, 6 = -2*z + 3*b. Find the second derivative of -4*s**3 + 0*s + 2*s - p*s**z wrt s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3 - 440*x**2 + 2584*x - 3424 = 0?\nAnswer: 2, 4, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -806. Let m = 1137 - a. List the prime factors of m.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 9*h**2 - 4*h + 39. Let v be u(9). Solve v*d = 2*r + 15, -27 + 32 = d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43280 and 18?\nAnswer: 389520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-14) - (-3)\/6. Let a(p) = p**2 + 2*p + 2. Let o be a(-2). Suppose g + o*s = -4, -4*g - 2 = 5*s + 8. Which is greater: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73220 + 207301. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -43. Let g = -3.7 - 1.3. What is the second smallest value in 4, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(77) + 6*2*sqrt(77) + sqrt(77))\/sqrt(7).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 28*w + 220. Let f be y(-25). Let z = -140 + f. Let m(j) = -3*j + 7. Let q(n) = -2*n + 4. Let r(a) = -3*m(a) + 5*q(a). Calculate r(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -140927?\nAnswer: -140922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92.6 + -93. Let r = -0.2 + -0.1. Let u(h) = h**3 + 15*h**2 + 13*h - 9. Let t be u(-14). What is the second biggest value in z, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.59, -66, -1?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175192 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 109*c - 232. Determine y(54).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 426 + -365. What is the remainder when c is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -2141959176.\nAnswer: -2141959175.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*a - 22*a + 252 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2846 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 - -cdcb?\nAnswer: cdab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1980229\/120 + 16502. Calculate the common denominator of -121\/20 and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + -0.4. Let g = f + -4.4. Sort 5, 2\/7, g in decreasing order.\nAnswer: 5, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256996681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -23 - -19 - (-20 + 1). Suppose -p + 5*b = -15, 5*p + 11*b = 6*b - w. Solve -4*z - 20 + 12 = p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v + 108. Let r be p(21). Suppose 4 - 3 = d. Solve -c + r = -d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1009227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.9769239 to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0 = -54. Let n = x - -36. Calculate the remainder when 34 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 8:45 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*-1 - (-3)\/6. Solve -5*l + u*b + 3*b = 3, 2*l - 3*b = 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*21\/(-28).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3838.828ml to litres.\nAnswer: 3.838828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34\/5 of a meter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4 - 2 - 3 = -11, 18*t + 114 = 4*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2)\/(12\/(-60))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, -27, -34, 5 in ascending order.\nAnswer: -34, -27, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1208 + 4*x**2 - 3*x**2 - 4*x + 336*x + 1207 as w*x**2 + l + c*x and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6715217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -1\/6*n**4 + 0 - 23*n**2 + 0*n**3 + 0*n. Let z(g) = -10*g**2. Give z(q(o)).\nAnswer: -160*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -35*h + 390. What is the greatest common factor of 1670 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - (-102)\/84 - (-1)\/7 and -71\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g - 1. Suppose 8 = v + 3*v. Give n(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 + 7*a - 12. Let c be m(5). What is the hundreds digit of 4204\/14 - c\/(-182)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 + 4*m**3 + 14*m**3.\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0475 or -243?\nAnswer: -0.0475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.86116 + 6.17187.\nAnswer: 2.31071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m + 104 + 61 - m - 5*m**2 + 28*m. Let t(w) = 6*w**2 - 37*w - 163. Let u(b) = 5*d(b) + 4*t(b). Differentiate u(x) with respect to x.\nAnswer: -2*x + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 34. Let r = -97 + 108. Calculate the remainder when s is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59212*x**4 - 149*x**3 + 3*x**2 - 98021097*x.\nAnswer: 710544*x**2 - 894*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 55*n + 9. Let k(a) = 27*a + 4. Let x(b) = -4*d(b) + 9*k(b). Let m(j) be the third derivative of -j**5\/20 + 383*j**2. Calculate x(m(g)).\nAnswer: -69*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-135)*(-99975)\/310.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-24)*-9*(-1)\/(-2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z + 10. Is n(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127\/9 - -43\/3. Let h be (-4)\/(-18) - 14\/63. Suppose h = 5*n + 20 - 25. Which is the closest to p? (a) -0.3 (b) n (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.145 to one dp.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -416*j + 9. Let o be d(-4). What is the derivative of -22*q**3 + o*q - 1673*q + 9 wrt q?\nAnswer: -66*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5\/7 + 51*n**4 - 74931*n**3\/7 + 2297703*n**2\/7 - 21425304*n\/7 + 4893348 = 0. What is n?\nAnswer: -238, 2, 17, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15209 is divided by 54.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 18*p. Let k be y(-6). Suppose k = -5*o - 185 + 240. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 22 = 3*w, 20*w - 14*x - 11*x + 27*x - 30 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 3*j - 4*p - 2, 3*p = -4*j + 181. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 - (-7 + (0 - -4) - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 252 + 583. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*d + 7 + 20, -o - 3*d = -6. Suppose 0 = -l + 4*l - o. What is the lowest common multiple of 7 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 + 1. Let c(d) = -d + 7. Let k be c(8). Give m(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18088, -18093, -18092, -18079, -18048, -17993, -17908, -17787?\nAnswer: -17624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 1. Let x = 1 + o. Let q = -0.06 + 2.06. What is the third smallest value in x, q, 2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqcc. What is prob of picking 2 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/66 and 64\/141.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21337 + 21344. Let o(s) be the third derivative of -s**5\/60 + s**4\/4 - s**3 + s**2. Let l(z) = -z**2 + 7*z - 7. Determine r*o(d) - 6*l(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 2*i - 2. Let n = -17 + 19. Let t be q(n). Suppose -t*d - 4*v - v + 27 = 0, 3*v - 33 = -2*d. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9, -29*i = r - 33*i + 1. Let y be (16 - -1) + -1 + 2. Suppose -3*k + z = -11, -3*k = 2*k - 2*z - y. Put k, r, 5 in increasing order.\nAnswer: k, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82132 is divided by 27377.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -2\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -292 - -435. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 464696670921 + 9.\nAnswer: 464696670930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 211976629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11796612 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 7*r**2 - 3*r**2 + r - 3*r**4 - 1 + 7*r**2 + r**3 as i*r**4 + z*r**2 + w*r**3 + y + c*r and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 - -92. Let h = 63 + x. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let m(r) = 14*r + 1. List the prime factors of m(x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*l - 2342 - 24 = 1234 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/9, 4506, -5\/2 in decreasing order.\nAnswer: 4506, 0.5, -2\/9, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 5 + 5 + 1 - y. Let k be n(-3). Suppose -5 = -r, -2*j = 2*r + r - 9. Put -5, k, j in increasing order.\nAnswer: -5, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k**2 - 31*k - 4. Give l(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2131 - -3023. List the prime factors of z.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4032 and 3528.\nAnswer: 28224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21504 divided by 64\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1652 is divided by 275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 2938.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, i: 1, h: 1, w: 1}. What is prob of sequence iw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 50\/356987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 91 - 2*a + a - 91. Let f(o) be the second derivative of o**4\/3 + o. Give c(f(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 7, 19, 29?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2784 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -192 - -187. What is the third biggest value in 3, -37, t?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56285\/24 - 2347. What is the common denominator of r and 121\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131077 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j - 3. Let h be m(-2). Let x = 17291\/17 + -1017. What is the closest to 0.1 in h, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2267 - 2266.1. Which is the smallest value? (a) 2 (b) -2\/459 (c) -0.4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1773 + -2884832\nAnswer: -2883059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 11*y**3\/6 + 13*y**2\/2 + 3552*y. Give u(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45967546 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c - 11*c + 19*c + 30*c)*(3 - 1 + 0)*(0*c + c + 0*c).\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5\/5 + 51*u**4 - 5289*u**3\/5 - 5547*u**2\/5 = 0 for u.\nAnswer: -1, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -6 (b) 0.1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 153) + (3424 - 3325).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1605, -1582, -1545, -1488, -1405?\nAnswer: -1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 7*z - 36 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*((h*h**0\/h*h*h)\/h)\/h*h*(h\/h**(-6))\/(h*h\/h**(-4\/5)*h))\/((h*(((h*h\/h**0*h*h)\/h)\/h*h)\/h)**35*(h**(2\/7))**36) assuming h is positive.\nAnswer: h**(-3713\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159956984 and 16824.\nAnswer: 5608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-105)\/((-15)\/35 + 30\/(-28)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4553389.\nAnswer: 53, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i. Let f(x) = -395*x + 1950. Let v(n) = -n + 26. Let g(m) = 2*f(m) - 150*v(m). What is j(g(b))?\nAnswer: 1920*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25338 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/195 and 16\/21.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 11*q**2 + 13*q + 8. Let d be p(-12). Let n(j) = -4 - 5*j + 1 - 9*j. Is n(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 226*a**4*b**2 - 2*a**4 - 4390*a**3 - 3*a**2*b**2 - 2110010*b**2 wrt a.\nAnswer: 5424*a*b**2 - 48*a - 26340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(3 + (sqrt(1216)*-2 + sqrt(1216))*1) + -3*(sqrt(1216) + -1*sqrt(1216) + 4) + 5)*-3)**2.\nAnswer: -10944*sqrt(19) + 178353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 72*l**2 + l + 3. Is u(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200574 is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 4*q - 3. Let c(b) = 1. Suppose 2*n + 4 = 3*n. Determine n*c(t) + v(t).\nAnswer: -2*t**2 + 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, j: 7, e: 4}. Give prob of picking 2 j and 2 e.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153123.02 - 154803. Let u = 1655 + a. What is u rounded to zero dps?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12266 (base 12) to base 11.\nAnswer: -174a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182329 is divided by 424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -13. Let o(r) = -44*r + 356. Let h be o(8). Put 9, -18, c, h in descending order.\nAnswer: 9, h, c, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)\/(-1*sqrt(12)))\/(sqrt(6)\/sqrt(8)) - (-4*(sqrt(176) + -1 - sqrt(11))*1 + 4))**2.\nAnswer: -160*sqrt(11) + 1164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18450 and 1450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 8*w\/3 - 10\/3.\nAnswer: 2*(w - 5)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5 + 2370*d**4 + 62181*d**3 + 288318*d**2 - 75264*d - 1538208 = 0. What is d?\nAnswer: -763, -21, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 14 = -4*d, 9 - 1 = p + d. Suppose -3*b - 4*x - 25 = -9, -4*x = -p*b - 32. Let a = 93 + b. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:04 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9652439?\nAnswer: 31, 103, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22655059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 535.5 + -535.49965762. Round r to six decimal places.\nAnswer: 0.000342","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**3 - l**2 - 5. Let c be o(0). Let b(w) = 2*w. Let q be b(2). Put 0, q, c in ascending order.\nAnswer: c, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 6*s**2 - 2*s + 28. Suppose 3*b + 6 = 0, -4*b + 0*b = 4*j - 12. Calculate the remainder when h(j) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 2342672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 less than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = -3*b, 3*c + 2 = -5*b - 0. Put 14, -3, c in ascending order.\nAnswer: -3, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*u**2 + u**4 - 5*u**2 + 0*u**4 + 5 + 20*u**2 to the form d*u**2 + k*u**4 + x*u**3 + a + t*u and give d.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 8:12 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g - 116305 = 9*g. What is the remainder when g is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ca7 (base 15) to base 10\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -54\/19, 2, -2\/5, -9, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*q - 4*q + 68 = 0, -4*q = -2*n + 60. Let m = n + -30. Solve -m*v = -v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/14 - 85\/(-204)*6.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1513907?\nAnswer: 563, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000416714 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-13)\/(130\/12))\/((-2)\/(-10)). Let n be (1 + -2)\/(1\/c*3). Suppose -5*o + n*o = -108. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21721*t**3 + 2*t**2 + 17526*t wrt t?\nAnswer: -130326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 11:57 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -267, -274, -211, -18, 365, 998, 1941, 3254?\n\"Answer: 10*d**3 - 25*d**2 - 2*d - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owt when three letters picked without replacement from {c: 2, o: 1, t: 2, j: 1, w: 1, x: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 - 0.1. Let w be ((-1)\/(-3))\/((-1)\/(-3)). Let b be 2\/1 - (-49)\/(-7). What is the third biggest value in y, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (400*m**2 - 401*m**2 - 4 + 93)*(-4*m - 5 + 5)*(1 + 1 - 1).\nAnswer: 4*m**3 - 356*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001064 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5176*c**4 + 34*c**3 + c**2 - 1288*c. Let v(u) = 647*u**4 + 4*u**3 - 161*u. Let s(l) = 2*k(l) - 17*v(l). Find the second derivative of s(g) wrt g.\nAnswer: -7764*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1169*l + 38. What is the thousands digit of s(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-2\/9)*(n**0)**(5\/14))\/((n**(-2\/9))**(1\/12)\/(n**2)**(3\/5)) assuming n is positive.\nAnswer: n**(329\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 - 68*r**3 + 142*r**2 - 72*r = 0.\nAnswer: -36, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 6054, -2 in descending order.\nAnswer: 6054, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/7 - -8\/21. Suppose -17 - 8 = -5*z. Suppose -4*g - 4 = 4*b, -b + 5*g - 1 = -0*b. What is the nearest to q in 2, b, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.47 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/(-65) - 4\/(-20). What is the closest to s in 3, -2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21\/2 (b) 5897 (c) -5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**2 - p - 50*p + 8*p.\nAnswer: 14*p**2 - 43*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 593\/644 + -108\/161. Which is the closest to h? (a) -1 (b) 0.5 (c) -1\/2 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 234 - 1151. Let v = -191 - d. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/((-12)\/120). Is 3165\/6*(-12)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 4*i**3\/3 + 15*i**2\/2 - 7*i - 18. Suppose -l + 32 = l. Calculate the remainder when r(-6) is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -504*j**3 + 33*j**2 - j + 135. Is w(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 899.4088nm?\nAnswer: 0.8994088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/88 + (-310)\/22. Let b be (-1 + (-1 - 2))*14\/i. Put 18, b, 1, -4 in decreasing order.\nAnswer: 18, b, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4665, -8584, -12513, -16446, -20377, -24300, -28209, -32098?\n\"Answer: c**3 - 11*c**2 - 3893*c - 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 1\/3*g**3 + 0*g - 4 + 0*g**2. Let c(f) = 3*f**2. Calculate c(d(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1. Let q(d) = d**2 - 16. Let v(j) = 5*q(j) + 5*w(j). Let g(y) be the first derivative of v(y). Let t(m) = 3*m**2. Give g(t(x)).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.40916 millilitres in litres?\nAnswer: 0.07940916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12.2998210799 and -0.02011.\nAnswer: 12.2797110799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -263.327461 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 + 32363*a**3 + 7037065*a**2 - 32363*a - 7037064 = 0 for a.\nAnswer: -216, -1, 1, 32579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 7*a**2 - a - 7. Let s be t(-7). Solve 0 = -4*x - 2*z - 4, 0 = 5*x - 4*z - s*z - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -22.7. Let i = o - -42.3. Let w = 32 - i. What is w rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -41523.2756?\nAnswer: 41526.2756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/4*272\/(-476)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108.5, -0.3, 1, 0.2, -0.5, 2 in ascending order.\nAnswer: -108.5, -0.5, -0.3, 0.2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*12\/8 - 21. Let t = 22 + f. Let r(g) = -g + 1. Let y(i) = 12*i - 9. Let v(b) = 9*r(b) + y(b). Calculate v(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 4, 0.4, 262 in decreasing order.\nAnswer: 262, 4, 0.4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018439 to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502601 is divided by 6184?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8544 + -8528. Calculate the remainder when 7454 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175960 divided by 35192\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331\/9 + 34\/153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 27. Let j = 14 + f. What is the highest common divisor of j and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(363) - ((sqrt(33)*-1)\/sqrt(11) - sqrt(3)))**2 - (sqrt(3)*-1*-5)**2*-2*-3) + -4.\nAnswer: 26*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + 2*sqrt(120) + sqrt(120))\/sqrt(6))\/sqrt(4).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**9*o)\/o)*o**(-5))\/((o\/o**(-6\/7))\/(o**(-5\/4)*o))*o**5*o**1*o*(o*o\/(o\/(o\/(o\/(o\/(o*o**(2\/7))))))*o)**16 assuming o is positive.\nAnswer: o**(541\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4284 and 20144628.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -563\/220 - -7\/44. Is d less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 6*q**2 + q + 8. Let l be v(-6). Let s be ((-1 - -1)\/2)\/2. Suppose s = 4*y - l*y - 14. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 1\/120*t**6 + 2\/3*t**3 + 0 + 0*t + 2*t**2 + 1\/10*t**5 + 3\/8*t**4. Factor b(a).\nAnswer: (a + 1)**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n*x**3 + 1088057*n*x + 37*x**3 + 625*x - 15 wrt n.\nAnswer: 2*x**3 + 1088057*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3 + 13. Let y be (-10)\/(0 - (-2 - -4)). What is the nearest to 0 in y, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*s + 3*q, 13*s - 10*s + 8 = q. Suppose 0 = 4*a - 6*a - 6. Sort a, -83, s in decreasing order.\nAnswer: a, s, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4245\/(-1132))\/(-1*(-30)\/144)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.828992724 to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a factor of 16515702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22431223 (base 5) to base 14.\nAnswer: 538d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.30921 + -0.22921. Which is bigger: 229 or n?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11860 is divided by 3359.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 10*z**2 + 10. Calculate y(-5).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 4:19 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1\/4 (c) 7\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**5\/60 + 119*q**4\/24 + 39*q**3 - 2048*q**2. Find m, given that w(m) = 0.\nAnswer: -117, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -21*v**3 - v**2 + 6*v - 10. Let u(l) = -14*l**3 - l**2 + 4*l - 7. Determine -5*k(y) + 7*u(y).\nAnswer: 7*y**3 - 2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c + 2*w, 0 = -4*c + 5*w + 28. Suppose -c*z + 9 = 1. Solve u + 2 = -2*h, -z*h + 4*u = 5 + 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*r - 430 = -1750. Let u(n) = 15*n - 6. Let s(x) = 23*x - 9. Let h(l) = -5*s(l) + 7*u(l). What is the least common multiple of h(-3) and r?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*n + 81*n + 2836 = 366. Solve n*o = 110*o - 60 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l**2 + 4*l - 4. Let s(k) = -13*k**2 - 3*k + 3. What is 3*f(v) + 4*s(v)?\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -6aea0de?\nAnswer: 6aea0da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (175\/135)\/((-1430)\/858).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2898 and 15525?\nAnswer: 217350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*z = -3*c + 291, c - 107 = 3*z. Is c a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 7*o**2 + 6*o + 2. Let a = -20 - -14. Let f be b(a). Solve -f = u + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105784 and 28.\nAnswer: 105784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23437202 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -617 - -c2?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1670932875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73524 and 31007076?\nAnswer: 6684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.5, 20.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5659103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 5, 4, 5085, -0.5, -3\/26?\nAnswer: 5085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 2*q + 6*q + 2*q + q - 2*q + (4 - 2 + 0)*(4*q + 0*q - 5*q))*(-1 + 473*q**4 + 1 + 12439*q**4).\nAnswer: -25824*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((-1)\/(-7) + (-108)\/(-756)). What is the fifth biggest value in -3\/5, -6, -4, o, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2. Let m(x) = -16*x + 3. Let c(h) = -11*h + 2. Let t(s) = 8*c(s) - 5*m(s). What is t(j(z))?\nAnswer: -8*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135207, -135204, -135201, -135198?\nAnswer: -135195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 25?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 417692?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 2)*(m + 3*m + 0*m)*(0 - 3 + 1 + (0 + 2 + 0)*(3 + 0 - 2) + 2 + 0 + 0 + 4 + 0 - 5 - 2 + 7 - 3).\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 2 + 9*g + 8*g)*(-g + 235 - 624 - 401) to the form n*g**2 + c + j*g and give c.\nAnswer: 1580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -10*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 61\/5 - (6 - (-116)\/(-20)). Let a be z\/6*(8 - 0). Suppose 69*i = 65*i + a. Solve 3 - 11 = -i*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22324 minus -0.4?\nAnswer: -22323.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 20 = 2*o. Let d = o - 7\/2. Let u be (86\/(-92) + 1)\/((-9)\/12). Which is the biggest value? (a) 3 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.4, -675\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 4*x**2 - 6*x - 2. Let u be i(-2). Find the second derivative of 10*b + u*b - 27*b**5 + 7*b wrt b.\nAnswer: -540*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*g - 146024, 166*g + 364991 = 171*g - l. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q - 60. Let g be o(11). Calculate the highest common factor of g and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/5)\/(s\/(((s\/s**(-2\/19))\/s*s)\/s)*s))**(-23\/4) assuming s is positive.\nAnswer: s**(598\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -24, -33?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 402664 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/9 + -3 - -2 and -73\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-11) + (-350)\/(-110). Let v(r) = r + f*r + 0*r. Let n(j) = 3*j**2. Determine v(n(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0594 and 1.\nAnswer: 1.0594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148 - 132. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20149 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*j**4 - 18\/5*j**2 + 24\/5*j**3 + 0*j + 0.\nAnswer: -6*j**2*(j - 3)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 - -0.06. Let k = 0.98 - b. Let l = k + -4. Put l, -4, -1\/4 in descending order.\nAnswer: -1\/4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 6*w**2 + 38*w - 17. Let c be x(-10). Suppose -c*v + 17 - 209 = -4*i, 5*i - 251 = v. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rurrirrrrrrrurur. Give prob of sequence ur.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -6, -45 in descending order.\nAnswer: 4, 1, -6, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012181395 to the power of 1\/2, to the nearest integer?\nAnswer: 44857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*j - 1722 - 828. Suppose -2*r + 3*f + 45 = 0, -5*f - 98 = -4*r - 13. Calculate the highest common factor of r and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -135 - 58*i**4 - 368 - 130*i**4 + 31*i + 35*i - 65*i wrt i.\nAnswer: -752*i**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 2.78\nAnswer: -0.1112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0 + 12*k**2 + 0*k + 31\/2*k**3 + 15\/4*k**4. Differentiate p(q) wrt q.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**3 - z + 10. Let x(p) = -p**3 - p**2 + p + 1. Let q(d) = g(d) - 5*x(d). Is q(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319939318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 7 - 7 + (0 + 4 - 6)*(2*h + 0*h - h) + 0*h - 3*h + 2*h)*(-1 + 2 - 2)*(2099 - 7089 + 2867) to the form v*h + x and give v.\nAnswer: -4246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {t: 2, x: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6691.93 - 6763. Let n = i + 1.07. Let u = n + 70.1. Is u at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 6 (c) -3 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 9*j - 6. Let k be q(3). Suppose -k*x + 2 = n - 0, 5*n - 10 = -2*x. Which is the smallest value? (a) -2\/9 (b) -4\/5 (c) n (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1803, -1787, -1757, -1707, -1631, -1523?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14719 is divided by 14258.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -44. Suppose i - w = -9. Put -5, 2, i in increasing order.\nAnswer: -5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(44\/(-2478))*(-3034)\/31857.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m. Let d(q) = 34*q - 1 - 1 + 7 - 5. What is d(p(w))?\nAnswer: 102*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 0 + sqrt(539) + 0 - (2 + (sqrt(539) - sqrt(539)*-1))) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 4*k. Let c be u(-3). Is 15 a factor of c*1 + 306\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h - 4. Let t(w) = -6*w + 4. Let b be (-175)\/56 - (-9)\/72. Calculate b*o(k) - 4*t(k).\nAnswer: 3*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 321547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8368390 divided by -5?\nAnswer: -1673678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*r*x**2 + 12*g**3*r*x - 10*g**3 - 25*g*r*x**2 - r*x**2 - 4*x**2 wrt g.\nAnswer: 12*g*r*x**2 + 72*g*r*x - 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-9)*(-140)\/196?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from uavht.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3*x = 17, -3*p + 2 = -7*p + 2*x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (15\/3)\/10 - (-364)\/(-299) and -93\/506.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 6. Suppose -5*m + 8 = -3*g, -4*g = 4*m - 2*m - 24. Let h(r) be the third derivative of r**4\/12 + 5*r**3\/6 - 9*r**2. Give m*x(o) + 5*h(o).\nAnswer: 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/5? (a) -3 (b) -3.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**8\/168 + 26*h**7\/735 + h**6\/21 - 4*h**5\/105 + 1802*h**2. Solve k(w) = 0 for w.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-4) - 12\/16. Let o be ((-16)\/(-10))\/(a\/(-10)). Find the common denominator of -89\/8 and ((-2)\/6)\/(o\/(-108)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -690 + 688. Which is the nearest to 5? (a) 3 (b) d (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 393 - 2b069?\nAnswer: -2a9a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 924 + -205. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 0)\/(2\/30*-3). Let p = 16 + x. Is 20*p\/2*-1 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**4\/20 - 2*k**3\/5 - 11*k**2\/10 - 6*k\/5 + 19. Solve g(c) = 0 for c.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63884 or 63863?\nAnswer: 63884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, -129, -673, -1533, -2703, -4177?\nAnswer: -5949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -b + 4*a, 5*b = -0*b - a - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**26)*l**(-13))**(2\/73))**11 assuming l is positive.\nAnswer: l**(286\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 27, -15048, 1\/3, -0.4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a + 12 - 102. Let w(q) = 2*q + q**3 + 17*q**2 - 5*q - 7*q**2 + 2. Let r be w(-9). Calculate the highest common factor of r and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmafmmmyyymz. What is prob of sequence yy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 3\/7*w**7 + 0*w**4 - 3 - 4\/3*w**3 + 0*w**6 + 0*w + 0*w**5 + 0*w**2. What is the third derivative of h(u) wrt u?\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/9)\/(2\/1). Let i = 427 - 428.64. Let v = -1.44 - i. What is the third biggest value in b, v, -0.2, 2\/37?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = 3, 0 = -4*z + k + 22. Suppose -z*v = -v - 170. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**7\/8820 + g**6\/1260 - g**5\/420 - 32*g**4\/3 + 170*g. Let i(c) be the third derivative of l(c). Factor i(r).\nAnswer: -2*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.2, 4, -0.15 in decreasing order.\nAnswer: 4, 0.2, -0.15, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 80*y**2 - y - 2. Let j be x(-2). Suppose c - 3*u - 61 = 0, 13*c + 2*u = 10*c + 194. Calculate the highest common divisor of c and j.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2 - 12584*t + 12580 = 0. What is t?\nAnswer: 1, 3145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.13222 to the nearest integer.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3357641*z**2. Let w(t) = 8*t. Give w(d(b)).\nAnswer: 26861128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 365394276 by 513916.\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26504 by 26504.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -1.4. Let k = 3.3 + j. What is the nearest to 1 in -0.3, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 13) + (1 - 0). Let a be (6\/4)\/((-3)\/t). Suppose -4*y - 44 = -a*q + 41, -2*y - 49 = -3*q. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -22, 2, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 269143 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 63687.35 kilograms in tonnes?\nAnswer: 63.68735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 217260 and 23430.\nAnswer: 2389860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*a**2 - 2*a**2 + 10*a + 7*a**2 - 3*a**2 wrt a?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 1. Suppose -q + 5*q = 4. Let d be l(q). Suppose -2*x + 3*x = -i + 4, -5*x = 4*i - 15. Sort d, 9, i in descending order.\nAnswer: 9, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 51 - 0. Suppose 5*k - 5*s = 45, -5*k + g = s - 22. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7198?\nAnswer: 2, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326603?\nAnswer: 47, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19274 + 18796. What is the biggest value in -0.2, -0.3, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*m**2 - 3066*m**2 - 4611*m**2.\nAnswer: -7851*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.2, 2, -2\/11, 7\/5, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 220\/3*z + 4\/3*z**2 + 688.\nAnswer: 4*(z + 12)*(z + 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.9. Let b = -174 - -50. Let w = -124.1 - b. What is the second biggest value in -0.5, w, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.9898062 nanograms?\nAnswer: 0.0009898062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -161)*(-2)\/6. Suppose -4*k - 2*m - r = -143, -3*m - 45 = -3*k. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4 + 20853\/102. Let w = -203 + i. Is w at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95245890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 647997241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 7*b**2 + 10*b - 6. Let t = 11 + -3. Let w be g(t). Suppose 2*j - w = -4. Solve -5*l + 2*n - 5 = 0, -j*n = -2*l + 5*l - 18 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 4. Suppose 4 = -3*r - 4*f - 25, r + p = -2*f. Let k(q) = 2*q + 0*q + 25 - q**2 - 21. Give k(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161 - -297. Let p = 347 - r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 + 97072*z\/5 - 97074\/5.\nAnswer: 2*(z - 1)*(z + 48537)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70.53 - 42.77. Round v to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -7. Solve 0 = -4*p - 3*o, -n*o + 1 = 6*p - 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471485360 rounded to the nearest 100000?\nAnswer: 471500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**2 - 9614728*a + 9614732 = 0.\nAnswer: -2403683, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3 - 4)\/(-1))\/1. Let r be (-7*(-2)\/7)\/((-2)\/c). Let b be (r\/21)\/((-3)\/36). Solve t + t = -b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (-3 + 7 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*i - 3162 + 46*i - 163*i + 58*i as j*i + q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -50, -152, -346, -662, -1130?\nAnswer: -1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*a**2 + 0)*(102*a + 4258*a + 2357*a - 1548*a).\nAnswer: 15507*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 0) + -5 - -27?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 338019889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 50, 39, 24, 5, -18, -45?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 29 = 4*q + 19, -v + 3*q + 25 = 0. Which is bigger: v or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/10 + 33\/6. Let n be 2 - 2 - -1 - -1. Suppose 2*o - r - 1 = 2, -n*o + v*r - 17 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k - 6. Let u be d(-4). Solve -u*t = -5*x + 20, 0 = -x - 7*t + 4*t - 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**3\/7 + 7. Factor p(a).\nAnswer: -3*a**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 1. Let g be a(-3). Let q = 69 - 70. Let c = 14770 - 14766. What is the third biggest value in q, c, 0, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 195.35 to zero dps.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 0) + (11 - 8)*(-29)\/(-12).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50841\/(-2646) + 114\/6?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 1\/12*x**4 + 0*x**3 - 68 - 1\/2*x**2 + 2\/3*x. Factor i(p).\nAnswer: (p - 1)**2*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 80*f - 540. Calculate the remainder when 2010 is divided by k(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1151*v - 1073*v + 5850 = 0 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92508 and 4744.\nAnswer: 185016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*25\/10*(-1)\/2. List the prime factors of 94*(q\/10)\/(-1 - 2).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -0.1, 0.1, 76, 4\/3 in decreasing order.\nAnswer: 76, 4\/3, 0.1, -0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 4. Let q be 310\/(-372) + 2\/(-24)*2. Let y(m) = -1. What is q*u(o) + 4*y(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i + i + 5*i. Let k(d) = -40*d. Determine k(t(h)).\nAnswer: 80*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*a + 2. Let y be ((-6)\/(-5))\/(a\/5). Is 19 a factor of (-32)\/y*(-171)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/6)\/7 + 770\/(-572)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 2 = -2*t, 3*t = 4*u - 26 + 23 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Let r be (-7)\/21 + 20\/6. Find the third derivative of -r*u**6 - 3*u**6 - a*u**2 + 5*u**6 wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 1. Let r be n(-6). Let i be r\/(-36) + (-6)\/(-27). Put i, -0.1, 2 in descending order.\nAnswer: 2, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -195, -130, 1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*f + 1 + 12*f - 1 - 36*f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 261 by 3.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n**3 + 5*n**2 + 7*n - 4. Let t(l) = 13*l**3 - 10*l**2 - 15*l + 9. Suppose 186*s = 2*y + 183*s - 3, 2 = 3*y - 5*s. What is y*g(d) + 4*t(d)?\nAnswer: -2*d**3 + 5*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1442 (base 5) to base 16\nAnswer: f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 272074220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*m - 60*m + 24*m + (3*m - 4*m + 3*m)*(-3 + 1 + 0 + (-1 - 1 + 3)*(-2 + 0 + 1) + 4 - 5 + 3 - 7 + 1 + 2).\nAnswer: -98*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.64959 hours in minutes?\nAnswer: 5018.9754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*v + 127*v + 138*v + 130*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 1. Suppose 3*w - 8 + 23 = 0, 0 = -n + w - 53. What is the smallest common multiple of x(6) and n\/(-7) - (-2)\/(-7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 7*b**2 - 2*b**2 + 0 + 0 - b**2 - b**2 - b**2 + 3*b**2 + (b - 5*b + 2*b)*(4 - 4 - 3*b))*(196*b + 2 - 343*b - 175*b).\nAnswer: -2898*b**3 + 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p. Let c be (-2)\/6 + 65\/15. Let l(k) = -c*k + 7*k - k. Give m(l(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 13, t: 3}. What is prob of picking 1 t and 3 s?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(196\/(-105))\/(-14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*r - 222, 4 - 7 = -y. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1712 - -1711) + (1 - 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**7\/420 + y**6\/360 + y**3\/2 + 3*y. Let r(i) be the second derivative of j(i). What is the third derivative of r(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1699 times -139?\nAnswer: 236161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75.4 + 77. What is f rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -471 + 469. Is m >= -0.0483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 2691*m - 1743*m - 2 + 2077*m - 2.\nAnswer: 3025*m + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (435 - 5036 - 2537 - 297 - 3516)*(d - 2 + 2) to the form p*d + m and give p.\nAnswer: -10951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-32 - -26) - (-2 + 7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 726*i**2 - 64728*i - 247104.\nAnswer: 3*(i - 312)*(i + 4)*(i + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aay when three letters picked without replacement from {a: 3, i: 4, x: 4, z: 6, y: 3}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1130224*w*y**3 - w*y**2 - 4*w - 2*y**2 + 2*y + 395 wrt y?\nAnswer: -6781344*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 668375.8 millennia in decades?\nAnswer: 66837580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 62 = -3*x - p, x - 46 = -3*p. Let d = 32 - x. Let k = d + 29. Solve 0 = y - 3*o + k + 6, 2*y + 4 = -o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**5\/180 - o**4\/72 + 2*o**3\/3 - 14*o**2. Let r(k) = 0. Calculate k.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(384)\/(sqrt(8) + sqrt(32)\/sqrt(4)) - ((sqrt(84) - sqrt(21))*1)\/sqrt(7).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uufsoqqovuuvuufu. Give prob of sequence vso.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1730 + 1734. What is the biggest value in 2\/7, -0.08, 0.4, u, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5311 * -53.4.\nAnswer: -81.76074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2*z + 16 = 0. Let g(j) = 3*j - 17*j**3 + z*j - 13 - 11*j. Let r(q) = -8*q**3 - 2*q - 6. Give -6*g(h) + 13*r(h).\nAnswer: -2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**2 + 3*n - 3*n + 14*n**2 - 39*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -v - 3*v + 32, -4*w = 2*v - 36. Let k be (3\/2)\/(3 + 1). Let y be ((-2)\/12)\/((-1)\/2). Put v, -2, y, k in ascending order.\nAnswer: -2, y, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767827786 to the power of 1\/3, to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/7 - (3 + -3). Let p = -0.08 + 4.08. Suppose -2*w - w - 3 = 0. Which is the nearest to w? (a) 0 (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/35 + ((-9)\/7 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215 - 120. Let l be 15\/(-6) + i\/38. Solve -d - 2*y + 3 = -2*d, 4*d + 4*y = l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 149306250*d. Let r(x) = 3*x. What is c(r(w))?\nAnswer: 447918750*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44377, -44381, -44385, -44389, -44393, -44397?\nAnswer: -44401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 - 26\/(-6). What is the greatest common divisor of 28 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2 + 13, -5*b + h = -25. Let v(m) = 0*m + b*m - 6*m**2 + m**3 - 4 + 9. Let s be v(5). Solve s*k = 3*k - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25775 in 0.1, 2\/5, 1512?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 12781 = -3*j, 2*u + 13942 + 7308 = 5*j. Suppose -5*p + j = -3*i, -4*p = -5*i - 1661 - 1751. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a factor of 1229592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 6, 2\/9, 2\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**6\/120 + 2*s**5\/15 + s**4\/3 + 13*s**3\/6 + 2*s**2. Let f be z(9). What is the derivative of -1 + f*b + b - 2*b wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/5576*-246 - 93\/(-9).\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-five quarters of a minute?\nAnswer: 825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:55 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.590877 seconds to minutes.\nAnswer: 0.35984795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3224235 and 315?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + l = g, -l = g. Solve g = 3*v + 4*c + 10, 0*c + 3*c = v - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**3 + 24*j**2 - 5*j + 56. Let f(c) = c**3 + 5*c**2 - c + 11. Let s(y) = -11*f(y) + 2*m(y). Calculate s(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h - 27*h - 31*h**2 + 13*h + h wrt h?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -8.9. Let l = v + 6. Let z be (-5)\/21 + 28\/42. What is the nearest to l in -0.4, -1\/7, z?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.42 and -263101.9?\nAnswer: -373604.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1514 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86558482*u**3 - 1337*u + 4093*u**5 - 86558482*u**3 wrt u.\nAnswer: 81860*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025031 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/428 and ((-291)\/1358)\/(12\/266).\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-13)*s*s**(14\/3)\/s*s)**10)**(-1\/60) assuming s is positive.\nAnswer: s**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/8*51\/((-12852)\/120).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 972, 940, 868, 738, 532, 232?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1 - (0 - 3)). Suppose 30 = q*i + 3*i. Calculate the lowest common multiple of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(-1)*b)\/b)*b)**(8\/7)\/(b\/b**1)**(12\/7))\/((((((b**(2\/3)\/b)\/b)\/b)\/b)\/b*b**0)\/(b**(2\/5)*b*b)**(-2\/59)) assuming b is positive.\nAnswer: b**(47581\/6195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 - 7100*f**2 - 21264*f = 0.\nAnswer: -1772, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -211 in 8\/11, 4\/27, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - 6*w**2 + 5*w)*(-275*w**2 - 108*w**2 - 318*w**2).\nAnswer: 4206*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + r + 1. Let p(x) = 10*x**2 + 8*x + 8. Suppose -39*i = -46*i + 168. What is i*a(n) - 3*p(n)?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 136, 192, 270?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 111, -2.\nAnswer: -2, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 = 2*d. Let h be ((-9 - d)*14)\/(-2). Let v be 2\/9 - (-122)\/18. Calculate the highest common factor of h and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1 + 3\/1. Suppose a*v - 5*j - 45 = 0, -2*v + 2*j + 30 = 5*j. Calculate the highest common factor of 120 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17466087 and 7060.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/11*z**2 + 0 + 2\/11*z**3 + 28\/11*z.\nAnswer: 2*z*(z - 7)*(z - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -8) + 5 + (-2 - (9 + -7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9734c8 (base 14) to base 13.\nAnswer: -10a2a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/2 + h**3 - 19*h**2\/2 - 10*h = 0.\nAnswer: -5, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/5 and 62\/265.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 11*k + 21. Let m be x(13). Sort 3, 2, 1, m in descending order.\nAnswer: 3, 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(48\/8) + (2 - 4). Which is greater: x or 1\/185?\nAnswer: 1\/185","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 11 = 29. Let a(t) = -6*t**2 + 3. Let o(h) = -2*h**2. Let s(n) = -1. Let u(w) = o(w) - s(w). What is f*a(r) - 17*u(r)?\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b500 (base 13) to base 6\nAnswer: 311444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794.439369 rounded to two dps?\nAnswer: 2794.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 9. Calculate the smallest common multiple of 14 and (s\/(-7) + -1)*7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -180 in -31, 8, -4, -8, 0?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/42)\/((-149)\/(98042\/1128))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -26637149\nAnswer: -26637148.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and -189844.\nAnswer: -284766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-140)\/(-20))\/(1\/(-3)). Let j = -46\/21 - -1108\/525. Find the common denominator of 1 + (i\/48)\/7*178 and j.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(63)\/sqrt(9)*2) + 4 + (-2*(sqrt(190) + (sqrt(190)*-1 - sqrt(190)) + sqrt(190)))\/(sqrt(70)\/(sqrt(7) + sqrt(7)*1)).\nAnswer: sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 220 - 28. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/12 + (-1 - (-25)\/20). Solve -3 = 3*f + p*y, -2*f - 3 = 2*y + y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -2*o + 1\/42*o**4 + 0*o**2 - 1\/21*o**3 + 1. Let b(w) be the first derivative of q(w). Factor b(s).\nAnswer: 2*s*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**3 + 3*s**3 + 4*s**3 + (-6*s**3 + s**3 + 3*s**3)*(-5 + 2 - 2) + 3*s**3 - 4*s**3 - s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**3 + 36*u**2 + 6*u - 7*u**3 + 3*u + 58*u + 77*u.\nAnswer: 2*u*(u + 6)*(u + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1399)\/(-4) + (-15)\/(-60) is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 12535711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 3*j**2 + 4*j + 7. Let s be b(6). Does 19 divide 4\/22 - 1834\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 - 10*y - 5. Let h be v(4). Suppose -i + 0*i + 42 = 2*g, -4*i + h*g = -212. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5*p + 45, 1 = 2*b - 2*p - 1. Let m = -10 - b. Let u(q) = q**2 + 5*q - 6. Let w be u(m). Solve w = -0*i - 4*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -213426.511 + 213247. Let q = -179 - y. What is q rounded to 2 dps?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1261*t + 1262*t - 55. Let m be (-355)\/t - (-1 - 6). Which is the closest to m? (a) -1 (b) 0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2435 - 2268 + 5122)*(4*z**5 + z**5 - 3*z**5).\nAnswer: 838*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3285 and 8541?\nAnswer: 42705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -c - 4*g, 2*c + g - 22 = 5*g. Let f be 4\/(c - 2) + -1. Let m be ((-2)\/(-1) - 2)*1. Solve 5*k + 11 = -f*l, -4*l = -m*l + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**6*l + 1820*f**6 + 4*f**2 + 2485*l + 2 wrt f?\nAnswer: 360*f**3*l + 218400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 87125 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 34391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 12*w**3 - 50*w**2 - 57*w + 92. Let k(r) = 5*r**3 - 25*r**2 - 28*r + 44. Let j(v) = -9*k(v) + 4*y(v). Solve j(l) = 0.\nAnswer: -7, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-170)\/(-75) - 23659\/(-885)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9477 divided by 81\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/14300 and 127\/8925400?\nAnswer: 116030200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -9. Let s be 6 + (3 - (-3)\/(-3)). Let r = 44 - s. Calculate the highest common divisor of q and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3316*p = 12108*p - 703360 for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 27. Which is the nearest to w? (a) -0.03 (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) - 5*(sqrt(133) - -6*sqrt(133))))\/(sqrt(7) - -5*sqrt(175))*-5.\nAnswer: -175*sqrt(19)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-56)\/(-56))\/(4\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1034, -2067, -3100, -4133, -5166?\n\"Answer: -1033*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, 20, 67, 144, 257, 412?\n\"Answer: d**3 + 6*d**2 - 2*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -32. Let z be 2\/(3\/(36\/r)). Suppose -7\/4*p + 1\/2 + 2*p**2 - z*p**3 = 0. Calculate p.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 6. Suppose -d = -2*z - 0*z. Solve 2*g + 5 = 5*h, g = -5*h + 4*g + z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 513*d**2*t**4 - 13*d**2 - 5199*d*t**4 - 19*d - 5768 wrt t.\nAnswer: 2052*d**2*t**3 - 20796*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -164316117?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = -14*u + 9*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*t - 424 = 2*v, 0 = 5*t + 20. Suppose -2*c + 3*x = -146 - 6, 4*x = 2*c - v. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1, -3\/2, 1.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*o + m - 10 = 0, -5*o + 6*m = -32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 20, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 2*f - f)*(2209*f + 1299*f + 1864*f) in the form y*f + i*f**2 + w and give i.\nAnswer: -5372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395955 is divided by 2761?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*l, 2*y - 3*y + 4*l - 84 = 0. Let m be (-3)\/(15\/2) - y\/10. Suppose m = v + 6. Solve v*f = j + 3*f + 10, -5*f - 26 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -769 + 772. Find the second derivative of 6 + 77*q**3 - 25*q**f + 60*q - 69*q + 102*q**3 wrt q.\nAnswer: 924*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*(-8 - -6) - -1. Let q(c) be the third derivative of 13*c**2 + 0*c**3 - 1\/12*c**5 + x*c**4 + 0*c + 0. Let d(n) = 4*n. Give d(q(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 19 + 5. Is (h\/(-2) - 12)*-1 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200222 - -10?\nAnswer: -200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Suppose -3 = -n*w - 1. Let x = 2 - 2. Which is bigger: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 47.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 24 - (-71 - -3)) + -12 + 17?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(f - f + f) + (-25573 - 127*f + 25573)*(1 + 2 - 1) + (1 + 4 - 6)*(3*f - 5*f + 3*f).\nAnswer: -254*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 334667555 to the nearest integer?\nAnswer: 18294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 27*k - 1791 = 0. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**7\/504 + t**5\/60 - t**4\/2 - 6*t. Let u(y) be the third derivative of v(y). What is the derivative of u(b) wrt b?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45521 is divided by 702.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Suppose -x*u - 55 = -11. Let m = u - -19. Solve -5*k - 3*s + s + m = 0, 6 = k - 4*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21709776 and 704.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 276\/(-24)*(1 + -7). Let v = k - 65. Calculate the smallest common multiple of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/((((k**(4\/15)\/k)\/k)\/k)\/k))))**17 assuming k is positive.\nAnswer: k**(1207\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 16. Let f = 4 - 1. Differentiate s**2 - 3*s**j + f + s**2 with respect to s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**3 - 2*y**2 + 20*y - 6. Let p(z) = -z**3 + z - 1. What is -6*p(n) + r(n)?\nAnswer: n**3 - 2*n**2 + 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**5 + 3*m**5 + 0*m**5 + (m**4 - 2*m**4 - m**4)*(1 - m - 1) + 4*m**5 - m**5 - 2*m**5 + 2*m**5 - 2*m**5 - 2*m**5)*(-8 + 32 + 13).\nAnswer: 74*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.06871 to two decimal places.\nAnswer: 9.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.230756 and 5?\nAnswer: -11.15378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2894 + -2894.12592. Round t to three dps.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197680 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -5. Let y(k) = 2*k**2 + 13. Let v be -12 + (-100)\/(-10) + (-10 - 1). Let a(d) = -d**2 - 6. Let t(p) = j*y(p) + v*a(p). Let f(r) = -r. Give t(f(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 6*u + 60. Calculate p(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4 - 4. Let u(d) = -d**3 - d**2 - 6*d - 4. Let g be u(f). Let q = g + -23. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 28*o**2 - 5198367 - 7*o + 5198367 + 4*o**3. Let s(i) = i**3 + 9*i**2 - 2*i. Give 2*l(b) - 7*s(b).\nAnswer: b**3 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -71082500 to the nearest one million.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -2\/17 (b) 1\/8 (c) -2\/9 (d) -393\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/13 + 1294*o**2\/13 + 400*o + 5208\/13 = 0.\nAnswer: -2, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/9)\/(40\/16 + (-18)\/4). Determine m, given that 24 - 8*m + r*m**2 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 22*q**2 - 1797*q + 11120. Calculate i(28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 28*c + 378. Let h be g(-13). Is -153 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.79.\nAnswer: 0.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4354?\nAnswer: 2, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvjjjjjjvjjqqqjjj. What is prob of picking 1 j and 1 q?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 4*g - 8. Let c(i) = i - 2. Suppose -3*d - 3 = 0, 4*d + 1 = -2*w + 5*w. Let m(t) = w*v(t) + 4*c(t). Let s(h) = 35*h**2 - 2. Calculate s(m(x)).\nAnswer: 35*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40741689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrrz when four letters picked without replacement from {z: 2, r: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(252)*-2 + (sqrt(252) + -2*sqrt(252) + 0 - sqrt(252)) + 4 + 1.\nAnswer: -60*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.218928624 take away 74?\nAnswer: -73.781071376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 - 1)*(0 - 3*d + 0) to l + f*d and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**6\/120 + 3*r**5\/20 + r**4\/24 + 3*r**2. Let p be d(6). Suppose -p - 46 = -5*q. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 13. Let r(f) = -f - 4. Let t(i) = 2*h(i) + 7*r(i). Let j be ((-9)\/(-18))\/((-5)\/(-80) - 0). Determine t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/5 + (-24)\/(-15). Solve n = -4*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = h + 3*h - 76, 0 = 2*h + 5*z - 38. Calculate the remainder when 74 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73073583 is divided by 3653679.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139699070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -12, 0, 0.04, -922?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191 - 185. Which is the smallest value? (a) 7\/4 (b) 1 (c) p (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/((-4)\/(-18) + 49\/63) + 5. Solve -16*m + b*m = 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3599\/13 + 277. Sort l, 1, 0.3 in descending order.\nAnswer: 1, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32\/9 + 47\/9. Let j = -803 - -806. Let k = 0.5 + -0.3. Sort k, g, j in decreasing order.\nAnswer: j, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2 + 27*a + 500. Calculate the smallest common multiple of n(13) and 481.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let y = -61 - -64. Let b(p) = -p - 8*p + 2 + 9*p - 4*p + 2*p. Calculate y*b(c) + 4*h(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycyysyybsyyyy. What is prob of picking 2 s?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 13*q**3 - 25*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzvqhhqqhmm. What is prob of picking 1 m and 1 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7075 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 8*y**2 + y - 5. Let r be o(8). Suppose -r = -5*q - 28. Let a(t) = -9*t**2 - 4*t + 5. Let n be a(q). Round n to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.16 + -0.48. What is a rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 3*h + h)*(6 - 3 - 4) - 7176 + 3592 + 127*h + 3585 to x + l*h and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*d + 35359 = -196*d + 246589. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1738352 and 15106.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4556 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4252 bigger than -4253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1221*o**5 - 20*o**4 + 227*o**3 - 46*o**2 - 4*o - 887119 wrt o?\nAnswer: 73260*o**2 - 480*o + 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6667, -1, 5, -2.\nAnswer: -2, -1, 5, 6667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10930, -21884, -32822, -43738, -54626, -65480?\n\"Answer: y**3 + 2*y**2 - 10967*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -3*l**4\/4 + 3*l**3\/2 + 7*l**2\/2 - l + 152. Let q(u) = -2 + 5*u**2 + 0*u - 5*u - 2. What is 4*f(w) + 7*q(w)?\nAnswer: -w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**7\/210 + i**4\/12 - i**3 - 5. Let f(o) be the third derivative of z(o). What is the derivative of f(w) wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14826, 14696, 14568, 14442, 14318, 14196?\nAnswer: 14076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4456222.\nAnswer: 2, 19, 117269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n = 0. Suppose -3*t = -j - 15, n = 3*t + 7*j - 2*j + 3. Let c be (t\/(-5))\/((-12)\/90). Solve -4*w + 2*h + c = 0, 2*w - 12 = -6*h + 4*h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/16)\/(2\/(-240)*-4))\/(129234\/(-2240056)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48781 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 11*x**3\/6 - 9*x**2\/2 - 9*x + 3. Let q(i) be the first derivative of s(i). Is 18 a factor of q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**(2\/15)*d)**35 assuming d is positive.\nAnswer: d**(406\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.027 (b) 0.1 (c) -14 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a40b75a + 1?\nAnswer: 6a40b75b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -61*l - 2. Let b be d(1). Is (-986)\/(-18) - 14\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4693437 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*q - a = 83*q + 19770, 2*q + 2*a - 9880 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.156, 0.4, 1, -0.5?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*s = -1495 - 1140, 0 = 5*m - 2*s - 2635. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 997891 times 16\nAnswer: 15966256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285133244 to the power of 1\/2, to the nearest integer?\nAnswer: 35849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + z. Let w be i(0). Suppose 24 = -2*a + 20. Let k be (a + 3)\/(5\/((-50)\/(-5))). Solve -20 = -4*r, 3*r = -k*x - w*x + 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -27 (b) -0.17 (c) 6 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -11a1435?\nAnswer: 11a142a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-195)\/(-12) + (-1)\/4. Let h = -1 + b. Calculate the remainder when h is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**3 - 5*u**2 + 8*u - 166. Let i(n) = -8*n**3 - 6*n**2 + 9*n - 165. Let v(h) = 6*i(h) - 7*t(h). Is v(0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -26*m + 10132003. Let o(n) = n. Calculate t(o(u)).\nAnswer: -26*u + 10132003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13211 (base 9) in base 5?\nAnswer: 241140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*m + 29 = 0, 2*b = 3*m + 23 - 7. Let u(y) = -7 - 3 + 14*y**2 + b*y - 7*y**2 + y**3 + 2. Calculate u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 19918?\nAnswer: 99590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(200) - (sqrt(200) + -1)*5)*2*1)**2 + -3.\nAnswer: -1600*sqrt(2) + 12897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*-1*sqrt(104) + (sqrt(104) - -1*1*sqrt(104)))\/((sqrt(72) - -5*-1*sqrt(72))\/sqrt(9)))**2.\nAnswer: -325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/191 or -1?\nAnswer: 3\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 6. Let b = -9 + 10. Suppose 2*x + b - v = 0. Solve 3*n - x*g = -5*g, -4*n - 5*g = 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.891137 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 12\/131 (b) 5 (c) 1\/4 (d) 1 (e) -0.1278\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 + 121836*x**4 + 487384*x**3 + 731096*x**2 + 487404*x + 121852 = 0. What is x?\nAnswer: -1, 30463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1259285027 and 389?\nAnswer: 388.8740714973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 11*d**2 + 27*d - 12. Determine p(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 467500?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let w(o) = -2691*o. Give h(w(p)).\nAnswer: 5382*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {g: 1, n: 1, h: 4, m: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 1 - 1)*(87*m + 2156 - 45*m - 43*m)*(-2*m**2 + 0*m + 0*m).\nAnswer: 2*m**4 - 4312*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -157*c + 146*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**6 + 2*t**5 + 9922*t**3 - 18656*t**2 - 3*t.\nAnswer: 120*t**3 + 120*t**2 + 59532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - (-452)\/92) + (-511904)\/(-184). Let l = 19179 + x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*s + 32*s + 81*s - 93*s.\nAnswer: 100*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/18)\/(-2)*(-2769)\/3692*6\/(-82).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19516033289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 8*q + 9. Let u be k(9). Suppose -2*c - y + 0*y + 9 = u, -3*y = 4*c - 17. Solve -4*a = -3 - c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifths of a microsecond in nanoseconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:31 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 + 4.04. Let b = -6766.5 + 6766.6. What is the nearest to b in f, -0.7, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/9 - -2\/45. Which is the closest to 2? (a) 9 (b) -2\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 65360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6c21 + 558?\nAnswer: -66c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, c: 7}. Give prob of picking 4 u.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 25*i**2 + i + 6. Let m(q) = -12*q**2 - q - 3. Let b(p) = -3*g(p) - 7*m(p). Is 3 a factor of b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-18)\/42) - 3. Sort 14, -5, 0, l in decreasing order.\nAnswer: 14, l, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 133.\nAnswer: -29\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(39\/2)\/(x**(-6)*x*x\/x**(-4)))\/((x**1)**(-10\/3)*x**(-2\/9)\/(x\/(x*x**(-2)*x))) assuming x is positive.\nAnswer: x**(-269\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212541 or 2\/35?\nAnswer: -212541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -29, -5.\nAnswer: -29, -5, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-100)\/(-160)*1\/45. Let r = -135\/8 - -17. Let x = r - v. Which is the closest to 1\/7? (a) x (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 14*a - 4. Let z(r) = -42*r + 14. Determine -20*g(o) - 6*z(o).\nAnswer: -28*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*((sqrt(192) + sqrt(192)*2 + sqrt(192))*-1 - 6*(sqrt(192) + 1))*-3 + 1 + -5)**2.\nAnswer: 313920*sqrt(3) + 6232681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*s - 1593 = -4789. Put s, 1\/9, -0.4 in ascending order.\nAnswer: -0.4, 1\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5348689 >= 5348728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44\/91 - -5331\/455. Let w = -16933\/57 + 889\/3. Calculate the common denominator of t and w.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 8. Let a be (-3)\/3 + 8 + -4. Sort 4, a, f in increasing order.\nAnswer: f, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 253, 0.1, -381, 0.2?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.043 - -461.957. Let n = c + -463.00001214. What is n rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23588897 by -548579.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 1)\/(3 + 24\/(-9)). Suppose o = -5*c - 4*v + 7, 3*c + 4*v = 4. Solve c = 5*k + 3*j - 31, -k + 2*j - 1 = -j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 211 - 214 + 2003 + 6*n - 213 - 1361.\nAnswer: 14*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-154))\/(((-560)\/35)\/112).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.599 * -5.46.\nAnswer: 3.27054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**4\/6 + u - 319. Let f(w) be the first derivative of -4*w**3\/3 + w - 1. Calculate f(r(n)).\nAnswer: -16*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/9 - 16*n**4\/9 + 2638*n**3\/9 - 3748*n**2\/3 - 9744*n = 0. Calculate n.\nAnswer: -42, -4, 0, 9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5764907*i**2*q - 8*i**2 - 8884*i - 47*q**3 - 10 with respect to q.\nAnswer: -5764907*i**2 - 141*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 2:53 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/(-272)*(-1)\/(-65)*-4. Suppose 7*h = 10*h. Is h at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**9*a*a)\/a*a**10*a**(3\/11)*a**4\/a)**(-31) assuming a is positive.\nAnswer: a**(-2139\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Express -29*c + 831 - 831 in the form z*c + m and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2\/7, -23, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 129*l**4 - l**3 - 2*l + 144*l**4 - 2*l to the form f*l**4 + z*l + k + o*l**3 + b*l**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13096 - 0.41031. Let q = -0.28 - j. Round q to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**4 + 51*h**3 + 87*h**2 - 51*h - 90 = 0. What is h?\nAnswer: -15, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 448293*n**3 + 106662*n**2 - n + 1 wrt n?\nAnswer: 2689758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 239, 343?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 897932, 1795865, 2693798, 3591731?\nAnswer: 4489664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 23274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1.269\nAnswer: -5.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 18*f**5\/5 - f**4\/6 - 5*f**2\/2 + 34*f. Find the third derivative of x(r) wrt r.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = d + 8, -4*d = -4*l - 0*d. Suppose -2*w - l = -2. Let s(v) = 7*v**2 - v - 1. Calculate the least common multiple of 6 and s(w).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(r*r*r*r\/r**(1\/4))))**3*r**0\/(r\/(r\/(r*r*r**(-4)*r))*r))**(-23) assuming r is positive.\nAnswer: r**(-759\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7*y = 57. Let n = -13 + y. Let c = 22 - n. Calculate the remainder when 30 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r - 68 + 68. Let d(t) = -2*t. Determine d(w(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*n**3 + 33 - 33 + (64*n - 37*n - 35*n)*(0*n**2 + 2*n**2 - 5*n**2))*(1 + 1 - 1) - n**3 + n**3 - n**3 as d + o*n + r*n**2 + w*n**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*s - 4, 4*s - 26 = -12*n + 11*n. What is the least common multiple of 39 and s?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -1125?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -166 greater than 1518.787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -130.38 (b) 0.2 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-3)\/(-5))\/((-3)\/15). Solve -4*y + 2*y = l - k, 2*l - 5 = 3*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2084 - -9014. Is b a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0008 + 14776.\nAnswer: 14775.9992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, -292.\nAnswer: -292, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15905, -31331, -46759, -62189?\n\"Answer: -v**2 - 15423*v - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.7. Let l = -1.1 + -2.9. Let q = l - -1. Which is the third biggest value? (a) y (b) q (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 0. Let q(k) = 366*k + 14271. Let l be q(-39). Put 179, l, 5, h in increasing order.\nAnswer: h, l, 5, 179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17689947 by -1.\nAnswer: 17689947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3402 and 729?\nAnswer: 10206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 400 = -5*g - 385, -11 = -2*f + 3*g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from eqvevvqqqeevqvv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 20. Let z = t + 0. Suppose -3*p + k = -701, -p + 1155 = z*p - 5*k. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*g**3 - 4331 wrt g?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 2*g = -7*d - 415, -3*g + 1236 = 3*d. Let r = -411 + d. Solve 0 = 7*h - r*h + 25, 2*l - 4*h - 28 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (3 - 0 - 4) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 2)*(-2*t + t - t)*(4*t - 2*t + 2*t) to m*t**2 + v*t + z and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/(4485\/(-169))*(-774)\/(-2236).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32559027 divided by 1713633.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784212.\nAnswer: 2, 3, 11, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -707181403710 minus -588?\nAnswer: -707181403122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/41 + (-197442)\/(-64247)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2855*u - 2855*u - 4*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -247107, -988248, -2223423, -3952632, -6175875, -8893152?\n\"Answer: -247017*v**2 - 90*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**9\/252 + 3*b**8\/112 + 3*b**5\/10 + 55*b**2. What is the third derivative of j(y) wrt y?\nAnswer: -240*y**3 + 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**2 + 117045*n = 0. What is n?\nAnswer: 0, 39015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*y + 12. Suppose -s + 448 = v - y*s, -9 = 3*s. What is the greatest common divisor of 26 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 705350*y**5 - y**2 - y - 67825?\nAnswer: 42321000*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9501316 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.8301 litres to millilitres.\nAnswer: 3830.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/60, 0.4, -0.117112, 0, 4 in increasing order.\nAnswer: -0.117112, 0, 1\/60, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 21*y + 13. Let w be i(-11). Suppose l = -a + 850, -a = -w*l - 505 - 339. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1127)\/84*(3 - 4)*27*12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5824.965 + -5837. Let j = -0.122 + 0.187. Let m = x - j. What is m rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/13, 0.06, -3, 0.2, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbvkbvyvv. Give prob of picking 1 k, 1 y, and 1 b.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((405\/18)\/5)*24\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -435230 + 5305?\nAnswer: -425521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*n = -40, 3*n - 1 - 5 = -3*s. Let b be 5 - (2*-2)\/(-2). Solve b = -2*p + s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -386 + 391. Solve -4*x = 2*z + x - 16, 3*x = -f*z + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 8*h**2 - 7*h + 3. List the prime factors of b(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7632 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2 + 4. Suppose 7*z + n*h - 71 = 4*z, -77 = -3*z + h. Solve 4*w = -w + z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - 1 - (19887 + 2). Is (2 - 3)\/((-4)\/o*-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 - -108. Let y = x + 91. Find the second derivative of y*p - 24*p + 10*p**3 - 27*p - 2*p**2 - 18 wrt p.\nAnswer: 60*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -601, -66, 25?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + (sqrt(1008) - sqrt(1008)*-2) - sqrt(1008) - sqrt(1008)) + sqrt(1008))*-3*2)**2*1.\nAnswer: -1728*sqrt(7) + 145188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 962 and 296.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 + 191. Let f = z - 48. Solve -l = -5*l - f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.109415 + -1\nAnswer: -0.890585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19393 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h - 1. Let u be n(-3). Suppose -c - 112 = -u*p - 4*c, -3*p - 4*c + 65 = 0. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 10 = 0, 2*c - 3*f - 4 = 23. Solve 3*d = -5*r - c, -13 = 3*r + d + d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 + 0*a**3 - 2*a**3 + (26 - 4*a - 27 - 2*a + (3 - 3 + 2)*(3 + a - 3))*(-a**2 - 4*a**2 + 3*a**2) to m*a**2 + v*a**3 + b*a + s and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22927 + -22929. Put -9, m, 2, -3 in increasing order.\nAnswer: -9, -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6123 and -2835.\nAnswer: -8958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 3*v + 5. Let p be q(2). Suppose -2*z = p*z - 10. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**5 - 1644*y**4 + 111980*y**3 - 1208276*y**2 - 43367088*y + 186050816 = 0?\nAnswer: -16, 4, 47, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 89?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/27*3)\/((-68)\/(-17))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 40*x - 10. Let p be q(-16). Is 10 a factor of 5*(-6 + 5) - p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 1198910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Let w(a) = -a**3 + a**2 + 4. Let u be w(g). Suppose 3*m - m = u. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 296160?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 + (0 - (8 - -2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 412, 942, 1472, 2002, 2532?\n\"Answer: 530*s - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/7 + 564*o**3\/7 + 13522*o**2\/7 - 293976*o\/7 - 91080 = 0. Calculate o.\nAnswer: -253, -42, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 7:25 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + 13 + 101*j**3 - j**2 + 0 - 4 - 9 + 10*j to the form r*j + q*j**2 + l*j**3 + g*j**4 + d and give l.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 8. Let l(w) = -3*w - 6. Let s be 8*1*6\/12. Let u(n) = 6*n - 11 + 2 + 16 + 6. Determine c*l(p) + s*u(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -13) + 33 + -11 + -37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*p**4 - 2165428*p**3 + 147985830*p**2 - 1 wrt p?\nAnswer: -1056*p - 12992568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Suppose u - 128 = -2*t + 169, -k*t - 5*u + 456 = 0. Calculate the highest common factor of t and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/45)\/(-7)*6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83108429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1667 (base 10) in base 5?\nAnswer: -23132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/2835 + 121897\/11340. What is the common denominator of -99\/184 and r?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723353131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*h)*(-h - 2 + 2)*(8 - 2 - 4).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19, 3, 45, 113, 213?\n\"Answer: u**3 + 4*u**2 + 3*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*t - 7*t = -3805, -2*t - 2542 = -2*p. Calculate the highest common factor of p and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71.47 - 124.44. Let z = q + 0.97. Let o = z - -47. Which is the second smallest value? (a) 2 (b) 1 (c) o (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 9*q. Let h(l) = -28*l. Give -3*h(c) - 8*z(c).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10442822669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.19097655 and -5.\nAnswer: -6.19097655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3163686444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 110478 bigger than 110404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 + 142. What is the greatest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1163070 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/3)\/((-9)\/(-27))*6. Let v be 1\/((-2)\/21) + (-5 - -9). Is o != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -12*h - 16*h. Suppose 4*d + h*y + 6 - 124 = 0, -y = -d + 31. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 1, y: 1, c: 2, l: 6, z: 4}. Give prob of picking 1 z, 1 q, and 1 l.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*k**2 + 47\/5 - 1\/5*k**3 + 93\/5*k.\nAnswer: -(k - 47)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 1 - (-7)\/(-21) - 79\/(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (861\/(-70028)*-1342)\/((-1)\/(-2)*-1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(3)*-5)\/((sqrt(27) + (sqrt(27) - sqrt(54)\/sqrt(2)) + sqrt(27))\/sqrt(9)) + (-2*sqrt(1470))\/(-1*sqrt(6)*-4 + sqrt(6)).\nAnswer: -53*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 + 2*t**2 + 2*t**2)*(3 - 5 + 0)*(-8 - 28 + 0) - 3*t**2 - 4*t**2 + 5*t**2 to the form y*t + v + w*t**2 and give w.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bff when three letters picked without replacement from fbgffggffbfbfbggf?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-224)\/(-22) + (-20)\/110. Let r be 8\/1*5\/m. Let t = -3.5 + 4. What is the second smallest value in 0.4, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1.2346.\nAnswer: -1.2346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 72*d = 70*d - 110, 2*d + 6 = 0. What is the highest common divisor of k and 689?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 25, 21, -1, -47, -123?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 + 32673*i**4 + 490545*i**3 + 2453475*i**2 + 4089750*i.\nAnswer: -3*i*(i - 10906)*(i + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 465383541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 4. Let y be 4\/(-1) - (-1)\/(-1). Let m(r) = -r + 2. Let i(f) = y*m(f) - 3*p(f). Determine i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 405186 or 1215554\/3?\nAnswer: 405186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 11. Let b be m(11). Suppose 14 = 5*u + 2*y - y, 3*y - 12 = b. Let j be 2 + -2 + 3 - u. Solve 0 = 3*t - j - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = w - 3, -4*w = -0*x + 2*x + 2. Let u(o) = o**3 + 11*o**2 + 9*o - 7. Let m be u(-10). Let z = w + m. 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 -0.000068 rounded to six decimal places?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -131*m**4 - 106*m**4 - 2 - 74*m**4 + 113*m**2 - 13*m**4 wrt m?\nAnswer: -7776*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 92 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436525777.\nAnswer: 29, 15052613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6*d. Let b(n) = -n**2 - 8*n + 3. Let f be b(-6). Suppose d*q - f = -q + 2*j, -11 = -q + j. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 19*y + 4. Let b(z) = -37*z - 9. What is 2*b(o) + 5*r(o)?\nAnswer: 21*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 10*r**2 + 6*r - 16. Calculate the remainder when x(-11) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, -9.7, 3 in decreasing order.\nAnswer: 3, -4, -9.7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5+-237\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**2\/3 - 79100*y\/3 + 26365 = 0.\nAnswer: 1, 15819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130.998 - 1.202. Let w = 131 + j. Is w bigger than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 7) to base 6.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(112)*3*-3)**2 + 2)*3.\nAnswer: 108888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:18 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142876 + 237876. Round i to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2))**(2\/99)*w**2\/w*w**(2\/15))\/(w*(w**4*w)\/w*w**5\/w)**(-16) assuming w is positive.\nAnswer: w**(71846\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/(z*z**(-2\/9)))\/((z*z**1)\/z**3)*(((z\/(z\/(z*((z\/z**(-1\/2))\/z)\/z*z*z)*z))\/z*z)**(9\/2))**(-12) assuming z is positive.\nAnswer: z**(-724\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v = 90. Let a = -13 + v. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042626038 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8769 or -8764?\nAnswer: -8769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/(7*4\/(-378))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 9*d + 6, -4*a - 2*d + 110 - 90 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13039 is divided by 621.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.033 + 1.967. Let r(b) = b**2 + b - 3. Let i be r(-2). What is the third biggest value in i, 0.42, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4800\/(-864))\/((-16)\/(-6)) - (-2)\/24. Put r, 0.3, -27, -2\/5, 41 in decreasing order.\nAnswer: 41, 0.3, -2\/5, r, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -608.497 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 331, 931, 1809, 2971, 4423, 6171?\n\"Answer: u**3 + 133*u**2 + 194*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 3*g - 17, 3*g = o + 2*o + 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 8 + 7 - (-70 + 98)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 151, 108, 101, 142?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -502, -1099, -1924, -2977, -4258?\nAnswer: -5767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) + 234\/15. Suppose 1 = -5*h + u. What is the smallest common multiple of (9 + (-152)\/16)*(-16 - 0) and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -229*t - 38. Let d be z(-4). Suppose 2*k + k = 2*f - d, -6*f + 2650 = -5*k. What are the prime factors of f?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 - g**2 + g - 1. Let p be n(1). Let j = p - 7. Let d(s) = -2*s**2 + 69*s + 111. Let i be d(36). Put 0, i, j in ascending order.\nAnswer: j, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**2 + 24 - z**2 - 60*z**2 - 24.\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 3401314?\nAnswer: 3401311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(25)\/sqrt(5) - sqrt(5))*6)**2 + (1*sqrt(5) + -4 - (sqrt(245)*-1 - sqrt(245))**2).\nAnswer: -959 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -157379, -314853, -472327?\n\"Answer: -157474*l + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 2*u - 2. Let n(o) = o**3 - 3*o**2 + 3*o + 3. Suppose 0 = -5*j + 5*x + 35, -j + 0*j - 5*x = -1. Suppose d = j - 9. Give d*b(z) - 2*n(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkm when three letters picked without replacement from {m: 1, k: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74073?\nAnswer: 3, 24691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 422040596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 0*n**2 + 0*n - 7\/2*n**5 + 0 + 6*n**4.\nAnswer: -n**3*(n - 2)*(7*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 25. Let y be 4\/10 - 74\/10. Let t = p + y. Solve u + 12 = 4*d, -4*d - 2*u - t = u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111110101010110011 (base 2) to base 14.\nAnswer: 2cb2dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 + 3*p**2 + 3*p - 3. Let n(i) = 6*i**3 + 10*i**2 + 8*i - 8. Let h(v) = -3*n(v) + 8*r(v). Factor h(o).\nAnswer: -2*o**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 19 - 26 = 0. Let f = s + 15. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 589 + -130\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 5*u + 34, -9*d + 41 = -4*u + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/8 + 257*k\/8 + 7661\/4.\nAnswer: (k + 94)*(k + 163)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -5 (b) 5624 (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-27)\/(-90)))\/(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 30745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2818 > -2819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6675 is divided by 835.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 + 72. Let a(k) = k**2 + 3*k - 2. Let v be a(-4). Solve j - v = -3*u, -j + 0*j = -r*u + 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:05 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*j**2 + 30*j**2 - 3 + 2*j**4 - j**4 with respect to j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1433 - b?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507.8 - 0.58.\nAnswer: -508.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-14) - (-121471)\/343. Suppose 2730 = 3*a - m. What are the prime factors of a?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 14920491?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -25. Suppose t*l + 5696 = 18*l. Suppose l = 9*c + 533. Calculate the highest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 474*z**2 - 130*z**2 - 14*z**2 + 4*z + 72*z**2.\nAnswer: 402*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-64))\/((-2)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5 + 24780*q**4 + 1913364*q**3 - 10013034*q**2 + 14186841*q - 6111954 = 0 for q.\nAnswer: -8182, -83, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k**2 - 6 + 6*k + 0*k**2 + 2*k**3 - k**3. Let y be f(6). Let z = -12 + y. What is the highest common factor of 162 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.4, 4\/11, -0.04806 in increasing order.\nAnswer: -0.04806, 0, 4\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 525 - 525. Let s(i) be the third derivative of 0*i**3 - 7*i**2 + 0*i**4 - 1\/15*i**5 + d + 0*i. Let y(j) = 4*j**2. Determine y(s(t)).\nAnswer: 64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 56503647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9663, 19327, 28989, 38649, 48307, 57963?\nAnswer: 67617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 18*v**2 - 54*v. Let d be u(3). Suppose 4*w = -c + 6*w + 24, -4*w + 12 = d. Calculate the greatest common divisor of 12 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11039.5 to the nearest one hundred.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2727907 and 868?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 10020210?\nAnswer: 10020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 979 - 979 - 35*a**3 + 12*a**2 wrt a?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 555, 554, 553, 552?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3842513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = -27*o + 48*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 595 or 212?\nAnswer: 595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1230, -14, -0.01152.\nAnswer: -14, -0.01152, 1230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 - -0.8. Let q(d) = d**3 + 7*d**2 - 3*d - 6. Let r be q(-8). Let s = r + 93\/2. What is the smallest value in 0.1, s, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*x - 4*x. Suppose 0 = c - x*c - 84. Does 10 divide (1 + c\/6)*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 6 + 28)*(0 + 5 + 2)*(-2 + 2 + 2*j) + (4*j - j - 2*j)*(2 - 1 - 2).\nAnswer: 503*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 52*u - 533. Give x(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 14*z - 1. Let m(w) = w**2 + 30*w + 208. Let x be m(-12). Determine l(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1232156879.99999768 + 1232157347. Let n = -467 + w. What is n rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376779 is divided by 1656?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/((-180)\/14))\/((-14)\/(-66))*-2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 16*l**2 + 8*l - 14. Let s be z(17). Suppose j = -c + s, -2*c + 1231 = 3*j + 2*c. List the prime factors of j.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315374690?\nAnswer: 2, 3, 5, 7, 6263689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 1. Calculate the remainder when 4 is divided by r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(39)\/sqrt(3) - -1*sqrt(832).\nAnswer: -4 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjzz when four letters picked without replacement from {j: 1, z: 5, m: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -25610781 minus 46?\nAnswer: -25610827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 65 = -5*f + 15, 0 = 4*f + 2*l + 32. Let g be f\/(-10)*(-8)\/12. Let v(j) = -j**3. Let z be v(1). Which is bigger: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by -55.\nAnswer: -162\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29751 and 2457939.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 40488?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -54*t - 35. Give f(-8).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1 + (-1 - -2). Suppose d*t + 2*u = 10, -u = -t + 6 - 2. Let k = -215 - -218. Are t and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -246, -987, -2448, -4863?\nAnswer: -8466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r - 25*r = -28*r - 286 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 81 + 474 = 4*i, 5*p - 390 = -3*i. Suppose 3*x - 5*h + 4*h - i = 0, 4*h = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:10 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 54*l**3 + l**2. Suppose g - 3*u = 13, -5*g + 2*u + 9 = u. Is o(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187260 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/8))\/v)\/v*v**(1\/4)*(v**14)**(4\/13) assuming v is positive.\nAnswer: v**(331\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -670.4 - -3123.076.\nAnswer: 2452.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 3*u + 96. Calculate w(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, l: 4, u: 1, p: 3, q: 3, e: 2}. Give prob of sequence upee.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2191941 or 2191942?\nAnswer: 2191942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*u - o + 27, o = 5*u - 12. Suppose u*y - 13 = -c, -5*c + 0 = -5. Solve 2 - y = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 346. Let t = x + -207. Let i = t - 120. What is the second smallest value in 1\/7, -12, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -58106, -1\/3, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1351 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxhxxhxhhh. Give prob of sequence xxx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 257803315?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(25\/((-4600)\/161))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3729 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 37 + 2*r - 5\/12*r**4 + 25\/3*r**3 - 125\/2*r**2. Factor q(a).\nAnswer: -5*(a - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2) + 1 + sqrt(34)\/(sqrt(14)\/sqrt(7)).\nAnswer: 1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91109?\nAnswer: 31, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2978577, -5957163, -8935763, -11914383, -14893029, -17871707, -20850423, -23829183?\nAnswer: -26807993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 2 = -11*h. Let z be (h\/(-3) - (-116)\/(-60))\/2. Which is the nearest to -0.1? (a) 4\/5 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 2772174*l**2 - 1921214993985*l - 30740149584400.\nAnswer: -(l - 1386095)**2*(l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*f, -26 = -4*b - 37*f + 34*f. What is the remainder when (-120)\/(-42) - b\/(-35) is divided by -1*(1 - 0 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 708.9954cm to meters.\nAnswer: 7.089954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7714971 millennia in centuries?\nAnswer: 7.714971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1701) + (sqrt(1701) + -2*sqrt(1701))*2)*5)\/(4*sqrt(7)*-1 + ((sqrt(84) - -3*sqrt(84) - sqrt(84) - sqrt(84)) + sqrt(84))\/sqrt(12))*-5.\nAnswer: -225*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 3*c + 1. Let t(j) = -j**2 - j. Calculate 2*k(s) + 7*t(s).\nAnswer: s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1449 or 0.11253?\nAnswer: 0.11253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 98.\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -22. What is the remainder when 95 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Let n(h) = -23*h - 178. Let v(c) = -115*c - 975. Let f(o) = -11*n(o) + 2*v(o). Does 3 divide f(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 17387*l - 156749. Determine v(9).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.2 (c) 2\/186873 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*p, 0*g = -g - 5*p + 7. What is the smallest common multiple of g and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 87 = 16*u, 3*o + 106*u - 109*u - 9 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 20*w**2 - w. Calculate the remainder when i(1) is divided by 1 - (2 + -9 + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-4 + 1 + 112\/14. Suppose -20 + 24 = -2*c. Sort -3, 17, a, c.\nAnswer: -3, c, a, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.4 - 6. Let k = 7.9 - 8. What is the biggest value in v, 0.04, k, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333962?\nAnswer: 2, 37, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -215 + 242?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*t + 29*t - t)*(2 + 1 - 1).\nAnswer: 78*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1585 = 53*v - 58. Let a be (24\/10)\/(2\/5). Solve -3*n - a = 3*o - 3, -5*n + v = -4*o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(3 - (-3 + 7)). Suppose 5*j = a + 2098, 2089 = 5*j - a + l*a. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 0*u + l - 1 = 0, 4*l + 12 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 464, 1003, 1622, 2321?\n\"Answer: 40*b**2 + 419*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 + -83. Suppose 0 = 4*u - 3 - 9. Let a be (-68)\/(-8) + u\/6. Calculate the greatest common divisor of a and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 - 2*d**2 - d - 1. What is the remainder when m(2) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 2. Give f(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207464\/27 or -7684?\nAnswer: -7684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8292\/(-22))\/(-6) - 2\/(-11). Which is the biggest value? (a) z (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**3\/3 + l**2\/2 + 5*l. Let d be j(-1). Solve r = 3*r + d*o, 3*r = -o - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j + 12*j + 13*j - 3*j.\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 5*a + 2*a - 68 + 68 + 2*a + (-2 + 4 - 1)*(4*a - 6*a + a))*(-4*a + a + 0*a)*(5 + 2 - 6).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11792 (base 10) to base 3\nAnswer: -121011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-174)\/(-18) - -1 - (-1)\/3. Let i = 377 + -256. Calculate the highest common factor of i and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 266*d**3 - d**2 - 2*d**4 - 105 - 2*d - 82 - 265*d**3 + 28 in the form a + n*d**2 + m*d + u*d**4 + t*d**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + j - 1. Let i be 0 + -5 - (-3 + -1). Let q(r) = -2*r**2 + r - 1. Let p(d) = i*q(d) + h(d). Let v(l) = -4*l. Calculate v(p(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 8229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -32 - -35 - (4 - 1). Suppose -322 = -2*x + 2*p, i*x - 2*x = -p - 324. Calculate the remainder when x is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 459*x - 463*x + 1.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 16*k**2 - 35*k - 3060. Calculate u(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1743584800 to the nearest 1000000.\nAnswer: 1744000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1776190196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Let p(w) = 5*w - 1. Let x(v) = 3 - 4*v - 6*v - v + 0. Let i(z) = -13*p(z) - 6*x(z). Determine i(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6 - 3 + 3 + z. Let r be w(6). Suppose r = 3*b - 9 - 12. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32913, -39321, -45731, -52143, -58557?\nAnswer: -64973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584b16 (base 14) in base 8?\nAnswer: 13366100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15656 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -10*l + 2. Let w be k(9). Let m = w - -269. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**(-1\/2)))*s*s)\/s)**(-3\/14)*(s\/s**(-8))\/((s*s**3)\/s*s)*(s**(-1)\/s*s)**(-45)\/(s**(2\/5))**26 assuming s is positive.\nAnswer: s**(5499\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.2, 45505, -96 in descending order.\nAnswer: 45505, 0.2, -0.2, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -32*t + 3. Let d(y) = 2 + 2*y - 33*y + 0*y. Let r(b) = -3*d(b) + 2*s(b). Let o(a) be the second derivative of -a**3\/6 - 681*a. What is r(o(i))?\nAnswer: -29*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2143 - 10?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325 + 594*o + 340 - 1000 + 335.\nAnswer: 594*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4860 = 2*i - 2*k, 9715 = 4*i + 2*k - k. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53016 - 500?\nAnswer: -53516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeveqkokefkkvo. What is prob of sequence qvvo?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.935 + -30. Let r = -0.245 + f. Round r to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -m + 22, 6*m = 3*m + 2*h + 15. Solve -3*w = 5*l + 25, w - 3 = -m*l + 11*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11615866 minus -3?\nAnswer: -11615863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -101201010 (base 3) to base 16\nAnswer: -1e7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5088 at least -157758\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -273\/5. Sort y, -2, 1, 0.4 in decreasing order.\nAnswer: 1, 0.4, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1184796, 4739173, 10663134, 18956679, 29619808, 42652521, 58054818?\n\"Answer: 1184792*r**2 + r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/5170 and -113\/210?\nAnswer: 108570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1204 + -662. Let p = 774 - f. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-48) + ((-298)\/(-596))\/((-6)\/(-4)). Factor 1\/4*k + 0 + i*k**2 - 3\/8*k**3.\nAnswer: -k*(k - 1)*(3*k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*q - 14, 62*p = 3*q + 64*p - 21. Let m = 22 + -1. Calculate the greatest common factor of m and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 474077090\/9 - 7574283953\/144. Let i = -76041 + b. Calculate the common denominator of i and -31\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19859, -19906, -19983, -20090?\n\"Answer: -15*p**2 - 2*p - 19842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 + 568913 - 568913.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 727782206 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 + 19 - 14)*(-5*s + 5*s - 6*s)*((3*s**3 + s**3 - 3*s**3)*(-8 - 2 + 0) - 3*s**3 + 5*s**3 - s**3).\nAnswer: -4320*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 5*f**2 - f - 5. Give k(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*a - 35*a + 2120 = -106*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(-17*b + 2*b - 10*b - 13*b + (-1 - 5 + 4)*(-3*b + 3*b + b)).\nAnswer: 120*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 7:39 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8730*h**2 + 8731*h**2 + 8730*h**2 - 26192*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 67093.113 to the nearest 10.\nAnswer: 67090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 - 1273 = -5*p. Calculate the highest common divisor of p and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1694 is divided by 185.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80109391 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l + 5. Let k be n(4). Let p be k*(48\/15)\/(-4). What is the greatest common factor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/20*-25*(-36)\/10.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -34?\nAnswer: -9\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**3\/3 + 1. Let q(t) = -5*t**2 + 2*t**2 + 0*t**2. What is q(w(x))?\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180714470.\nAnswer: 2, 5, 41, 367, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**8\/24 - 8969*y**7\/105 - 1277157*y**6\/20 - 109215071*y**5\/6 - 77854483*y**4\/6 + 5420*y**2. Factor b(m).\nAnswer: -2*m*(m + 427)**3*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118247 + -354559\/3. Determine g, given that 34\/3*g**2 + 2\/3*g**3 + 98 + b*g = 0.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18254153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149\/1690 - -2\/169. Let z be (-48)\/504*(1 - 7). Sort -0.4, z, d in descending order.\nAnswer: z, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 211 = 4*v, 3*m + 2*m + 64 = v. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -34\/5*n**2 + 56\/5*n + 24\/5 = 0.\nAnswer: -6\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6175 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0*(-4 - 135\/(-36))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(-99 + 99 + 47*a)*(0*a + 0*a - a**2) to the form c*a + z*a**3 + k*a**2 + t and give z.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3 and 149\/4038.\nAnswer: 4038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293843, -587690, -881537, -1175384, -1469231, -1763078?\nAnswer: -2056925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 574375177 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1347543 and 1197816?\nAnswer: 10780344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + 7896\/(-364) + 81?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4323 + -4288. Calculate the remainder when 199 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 0 + 0*j**4 + 0*j - 2*j**2 + 0*j**3 + 1\/60*j**5. Let p(k) = 4*k**2 - 5*k**2 + 4*k**2. Calculate r(p(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g**2 + 116*g - 243. Calculate w(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 8:02 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4307, 4211, 4129, 4061, 4007, 3967?\nAnswer: 3941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/4))**(-23)*(b**(-2\/3)*b)**3 assuming b is positive.\nAnswer: b**(-111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a342 - -3?\nAnswer: 1a345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -71*i**3 + i**2 + i + 1. What is v(-1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 4*c**3\/3 - 2*c**2 - 4. Determine u so that n(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*o**2*q**2 + 4*o**2*q - 4*o*q + o + 53955*q**3 + 198*q + 1 wrt q?\nAnswer: 100*o**2 + 323730*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 0 - 1)*(-2*l**2 + l - l)*(-3*l**3 + l - l).\nAnswer: 54*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/975 and -33\/455.\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f**3 - f**2 + 1. What are the prime factors of v(3)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -659 = -659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 2*m**2 + 5*m + 6. Let y(j) = -j**3 + 3*j**2 - 6*j - 7. Let o(p) = -6*b(p) - 5*y(p). Determine o(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 27*o**2 - 19*o - 45. Let d be y(-14). Is 24 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 - 8*b - 21. Let c(l) = -5*l**2 + 9*l + 27. What is 6*c(x) + 7*m(x)?\nAnswer: -2*x**2 - 2*x + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -31*z - 62. Determine b(15).\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0 - -3)\/12)\/(17\/(-51)). Let g = -0.0534 - 1.9466. Which is the nearest to -0.2? (a) j (b) 4 (c) -2\/3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**5*v)\/((v**(-2\/5)\/v)\/v)*(v\/(v\/(((v\/(((v**(-3\/7)*v)\/v)\/v))\/v)\/v)))\/(v**(-3)*v))**(-40))**(-38) assuming v is positive.\nAnswer: v**(115216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 239023805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -4af7?\nAnswer: -4afe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3268913.66 to the nearest 100.\nAnswer: 3268900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -4412.\nAnswer: -2206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 310*d + 32. Determine k(108).\nAnswer: -1480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 + 9 = 0. Let k(u) = u**2 - 7*u - 11. Let c be k(10). Let a be 18*(1 + -3 - -3). Solve 5*z + g = -g + c, -4*z + a = q*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 12*q + 4. Suppose x = -5*m + 51, -14 = -2*m - 0*m - 2*x. Let w be p(m). Suppose -6*d = -w*d + 1467. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 23889.\nAnswer: -1\/23889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + t = -1146 + 1150, 0 + 10 = 5*h + 5*t - 0*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 808349.8mm to meters.\nAnswer: 808.3498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-4)\/32)\/4.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*q + 8784 = -7428 - 14853 for q.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, 2\/5, 6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:16 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 48312?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -775 - -6211\/8. Calculate the common denominator of c and (18\/12)\/((-6)\/(-130)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 - 1018*q**4 - 2*q**3 + 5795*q**2 wrt q?\nAnswer: 120*q**2 - 24432*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/4)\/(15\/(-20)). Let h be (-82)\/(-6) + f\/6. Let p = h - 10. Solve -5*l - p*r + 29 = 0, -5*l + 5*r + 5 + 15 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1373 and 0.4.\nAnswer: -549.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o**3 - 1043*o**2 + 4381*o - 4225 = 0.\nAnswer: -25, 13\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 113633 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*k + 41853, -11234 - 9689 = -2*k - 5*o. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -3.12 (c) 1\/5 (d) 2342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 + (63\/(-6) - -3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 2612*b + 852818.\nAnswer: 2*(b + 653)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 - 35 = -2*y. Suppose -y = 2*g - 5*o, -2*g + 0*o - 5*o = 90. Let z = 63 + g. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15280 or 15278?\nAnswer: 15278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n, 4*v = -3*n - 0*n - 5. Let s(x) = x**3 - 4*x**2 - 17*x + 66. Let m be s(3). Sort 2, 3, v, m in decreasing order.\nAnswer: m, 3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1865, -7123, -15947, -28337?\n\"Answer: -1783*s**2 + 91*s - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 21 = 4*b. Let t be (-6)\/(-24) + (-57)\/(-12) - 3. Solve -3*g = t*y - 1 - 0, -g + b = 4*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 - -76?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20275740 rounded to the nearest one hundred thousand?\nAnswer: 20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(2\/(-2*1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5646*w**3 - 12*w**2 + w + 372. Let i(q) = 5649*q**3 - 15*q**2 + 2*q + 372. Let t(r) = -4*d(r) + 3*i(r). Find the third derivative of t(u) wrt u.\nAnswer: -33822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 0.206, -2\/15 in descending order.\nAnswer: 1, 0.206, -0.1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-1)\/(-16)). Let c be (1 + 9)*(-2)\/(-4). Find the first derivative of -2*b**3 - 5 + c - 3 + z wrt b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -122*h**3 - 7*h**2. Let r(l) be the first derivative of 41*l**4\/4 + 2*l**3\/3 - 2121. Calculate -7*r(j) - 2*z(j).\nAnswer: -43*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*14\/(-1071)*-3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 7*y**2 + 8*y - 7. Let i be z(6). Suppose 0*c = -3*c + 12. Suppose -5*o + q - c*q + 66 = 0, -58 = -4*o - 5*q. Solve i*d + o = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiikik. Give prob of picking 2 i and 1 k.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 954 and 17982.\nAnswer: 953046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 198*f + 7130. Let s be t(50). Solve 9*c - 2293 = -s for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5, 3*h + 7 = s - 2*h. Find the third derivative of 0*a**2 - 2*a**6 + 4*a**s + 6*a**6 wrt a.\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(22)\/((1*sqrt(33))\/sqrt(3)))**2 - ((sqrt(2) + 0)*3 - (sqrt(2) - (-3 + sqrt(2) + sqrt(2)))*-6).\nAnswer: -15 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5887*-1.\nAnswer: 5887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.02 - 0.02. Let x = s + -3.1. Let u = x + 0.5. Which is the third smallest value? (a) -1 (b) u (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 8*g**2 - g - 14. Let y be q(-8). Let u be 2\/y*0 + 50. Let t be u\/28*(-8)\/40. Is 0 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-528) - (-1825)\/165\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2615 times 1.73?\nAnswer: 4523.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 + 3 + -4 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82310.\nAnswer: 2, 5, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:39 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 9*l - 69. Sort l, -2\/15, 0.3, 0.4 in ascending order.\nAnswer: -2\/15, 0.3, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ettt when four letters picked without replacement from {t: 11, e: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10 = 2*i, 3*x - 5*i - 25 = 2*x. Suppose x = -2*w + 4*w. Suppose -4*a + 0*a + 28 = w. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p + 344 = -1224. What is the remainder when 435 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -30, 2\/7, 297?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48801981 divided by 144813?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*i**2 + 15*i**2 + 7*i**2.\nAnswer: 70*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 256*t**2 + 69*t - 17670. Calculate y(256).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0 - 4 = -4*n, -20 = -5*n - 5*r. Solve -3*f**4 - 10*f**3 + 8*f**n + 11*f**4 - 4*f**2 - 2*f**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-1 - 14\/6). Let h(u) be the second derivative of u**5\/20 + u**4 - u**3\/2 - 4*u**2 - u - 17. What are the prime factors of h(t)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 8*j - 194 = 6*j, 108 = 3*y + 4*j. Let k = y - 16. Factor k - 69*t + 73*t + 5*t**3 - t**3 - 16*t**2.\nAnswer: 4*(t - 3)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1344 (base 6) to base 11.\nAnswer: 2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dghhdqhoqghq. What is prob of sequence dgq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9. Suppose -107*y + 5*b = -111*y + 38, -5*y = 3*b - 28. Solve 4*d = -2*x - y*x + 12, w = d - x - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*s = 74, 0 = -2*p - 2*s + s + 42. Let y = 52 - p. What is the remainder when 50 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29621397607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 18 = 11*f. Let m = 15 - f. Calculate the least common multiple of m and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**5\/6 + 4*k**4 + 15*k**3 - 44*k**2\/3 - 7*k\/2 = 0.\nAnswer: -3, -1\/5, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 503751?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1730, 6549, 14594, 25877, 40410, 58205?\n\"Answer: 2*x**3 + 1601*x**2 + 2*x + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 - 1555472*b\/5 + 1555473\/5.\nAnswer: -(b - 1)*(b + 1555473)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29982993 is divided by 1763704.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -48. Let j = l + 32. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-1 - 147 + 19)*(-2*i**5 - 2*i**5 + 0*i**5) - 3*i**4 - 2*i**5 + 3*i**4 - 3*i**5 - i**5 + 3*i**5 + (-2*i**3 - 3*i + 3*i)*(-2*i**2 + 1 - 1).\nAnswer: -515*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (44 - 11)) + 3 + 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24139911?\nAnswer: 3, 8046637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 8:46 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-6 + -6) - ((9 - 15) + 15)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*c - 12, 4*a = 4*c + 12. Suppose 81 = a*i - 111. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 286\/5, 0.1, 0.7, 0.17, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-3))**(-2\/13))**(-4\/27))**(11\/4) assuming q is positive.\nAnswer: q**(88\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 16. Suppose -5*y + 69 + 11 = 0. Let b be t(y). Solve b = -2*x - z + 3, 0*x - 2 = -3*x - 4*z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*z - 240, 2*y + 236 = 4*y - 2*z. List the prime factors of y.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((p*p*p**(3\/8)*p*p)\/p)\/p)**(12\/11) assuming p is positive.\nAnswer: p**(81\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(5*y + 0*y - 4*y) + (25*y + 41*y - 6*y)*(-2 + 0 + 1) as q + r*y and give r.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/12 (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 926399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 4*s - 4. Let j(t) = -t**2 + t + 1. Suppose -5*h - 28 = -58. Suppose 26 = h*v + 8. Give v*w(c) + 12*j(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.1. Let w = 7 - 5. Let v = 4 - 2. Which is the closest to w? (a) v (b) -2\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/15 - 32\/80. Solve -3*j = -6*j - 15, i = -2*c + 3*j + 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 5*f**2 - 5*f. Give s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - 2 - 7*x**2 - 2*x**3 - 3 - x**4 to the form v*x**3 + q*x**4 + c*x + m + a*x**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*r - 12, -2 = w + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 42614559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/10*(-10)\/(-4). Let j = -75.799 - -76.799. What is the nearest to 0.1 in w, j, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150.4 + -150.336. Which is the second biggest value? (a) t (b) 4 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 7:28 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, b: 10}. What is prob of sequence beeb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*p**3 - 40*p + 3*p**4 + 13 - 15 + 34*p**3 to c + w*p**3 + l*p**2 + r*p + m*p**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -5\/3561 (c) -0.5 (d) 0.5 (e) -2\/59 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08 or -1394677?\nAnswer: -1394677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times 16\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 2. Let h be p(6). Let r = -15 - -18. Suppose -h*u + 37 = -r. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3151210, -6302425, -9453640, -12604855?\n\"Answer: -3151215*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2181*u**2 - 1330*u**2 - 750*u**2 + 4.\nAnswer: 101*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.3 + 8.4. Let o = f - 14. Let h = -4 + 26\/7. What is the nearest to h in 5, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -354*q**4*y - 7*q**4 + 3*q**3*y - 2*q**3 + 32865*q**2 - 4*y wrt q.\nAnswer: -8496*q*y - 168*q + 18*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**2 - 350874*f - 64662384 = 0.\nAnswer: -184, 117142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + j = 43126 - 6158, 10*j + 60 = 0. Is h a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11076 and 0.12.\nAnswer: 1329.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 91\/15, 10, 0, -1 in ascending order.\nAnswer: -1, 0, 91\/15, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1879*v - 1809*v - 3430 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22705062 and 0.4?\nAnswer: -9082024.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*g + 93*g - 103*g + 139*g.\nAnswer: 266*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:14 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/39 (b) -5 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 - 2*l**4 - l**4 + (l - 2*l**2 - l)*(-6*l + 6*l - l**2) to the form z*l**3 + t*l + w*l**4 + k*l**2 + s and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -1, 7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2 + 966*v - 73700 = 0. What is v?\nAnswer: -550, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12779447\/90 + 141992. Find the common denominator of 49\/15 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14723581 to the power of 1\/2, to the nearest integer?\nAnswer: 3837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 863.4 + -863. Put -6\/23, -0.3, b, 2 in ascending order.\nAnswer: -0.3, -6\/23, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 211*d**2 + 36*d - 218. Is g(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23)\/(-18) + -5 + (-235)\/(-45). Let m = -0.122 - 0.078. What is the third smallest value in 1, s, m, -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*142\/18*(4 - (11\/(-22) - -3)).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minus -7134450417?\nAnswer: 7134450661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1348354\/1110)\/137 - 9.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 838489977.8 and -27.\nAnswer: 838489950.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p - 92 = k, -2*p + 104 = 2*k. Calculate the smallest common multiple of 33 and p.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjtvjjcmcxmcc. Give prob of sequence jc.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**10*n*n)\/n**(-2\/11))**6*n**(-8)\/(n**(4\/7)\/n)*n\/(n\/n**(1\/7))*n*n*n**(5\/6) assuming n is positive.\nAnswer: n**(31645\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from {o: 2, c: 1, g: 2, a: 1, b: 2, t: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-13546)\/4632732*1*9\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(70\/25) - 1\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 75\/7 (b) 1 (c) 0 (d) -4\/5 (e) -2 (f) 213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 120*((-1188)\/16)\/(-11). Let m = v + -1623\/2. Which is the third biggest value? (a) 35 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + (-3 + 1 - (-32 + 50)) + -17 + 25?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/11 and -93\/1994552.\nAnswer: 21940072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-21)\/t*t\/(t*t**(2\/27)))\/(t**11*t**(-8\/5)) assuming t is positive.\nAnswer: t**(-4249\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5500*h + 106 - 95 + 33092*h - 11.\nAnswer: 27592*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326399?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 171*k - 1237 - 4901 = 0 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 8. Let y(q) = -2*q - 64. Calculate -4*r(j) + y(j).\nAnswer: -10*j - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*k + 25 = 5*i, i + 7 = -5*k. Let m be (k\/(-3))\/((-5)\/(-60)). Let h = m - -3. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.574 + -0.426. Let w = 20 + -37. Let f = d - w. Put -0.3, 1, f in descending order.\nAnswer: f, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 616 and 28721?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 3:08 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333481756.\nAnswer: 2, 31, 2689369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 7. Let c be f(-7). Let d(x) be the second derivative of 0*x**2 + 3*x + c*x**3 + 1\/100*x**5 + 0 + 1\/60*x**4. Factor d(s).\nAnswer: s**2*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9322 + -9317. Solve -7*g + x = -t - 3*g, 3*t - 3*g + 6 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 + 289 = 7*k. Calculate the greatest common factor of k and 704.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1126170 or 1?\nAnswer: -1\/1126170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*l**3*z + 33*l**3 + 6520*l*z + 1250*l wrt z.\nAnswer: 27*l**3 + 6520*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1156, 1662, 1\/8, 0.5, 2\/3?\nAnswer: 1662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -25 - 15*(-56)\/42. What is the nearest to 0.5 in 1, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -11*h + 17. Let o(b) = -21*b + 28. Let c(v) = -5*d(v) + 3*o(v). Give c(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:09 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 378693563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1800 + -1721. What is the greatest common divisor of j and 553?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22849014 + -42?\nAnswer: -22849056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -889, -1774, -2651, -3520, -4381, -5234, -6079?\n\"Answer: 4*r**2 - 897*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y\/(y\/(y\/(y*y**(-6)\/y)*y)*y)))*y)**(-1\/57)*y*y\/y**(-22)*y*y*(y**18\/y)\/y assuming y is positive.\nAnswer: y**(795\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*w - 10. Solve w*x + 4 = 2*u, 6*x + 20 = x - 5*u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 11*n**2 - 2*n - 11. Calculate j(11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*k - 10 - 11, k = 2*l - 8. Suppose -5*c + l = -5. What is the second derivative of 0*d**c - 4*d**2 - 2*d + 2*d**2 wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 2871165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5398957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/1414120 and 173\/2280?\nAnswer: 80604840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4585249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(2) + sqrt(16)\/sqrt(8) + sqrt(2)) - -2*sqrt(85)\/sqrt(5))**2.\nAnswer: 833\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1123*y**2 + 48*y + 4. Let b(f) = f**2 + 8*f + 1. Determine -6*b(i) + g(i).\nAnswer: 1117*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5 + g**2 + 9*g - 1 - 4*g. Let b(i) = -5 + 4*i - i**2 + 6*i**2 - 4*i**2. Calculate -7*b(j) + 6*z(j).\nAnswer: -j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.2 + 5.8. Let l = -8.6 + j. Let r = 2 + l. What is the second smallest value in -0.1, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 1899096.621026?\nAnswer: 1899097.121026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*(d*d\/d**(-6)*d)\/d))**28\/(d**9)**(1\/19))**(4\/19) assuming d is positive.\nAnswer: d**(-14932\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 5) in base 10?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Suppose 2*h - h + 4*r = 25, -t*r + 15 = 0. Solve h*s - 17 = -2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 56 = 12. Let n = -0.07 + 3.07. Which is the second smallest value? (a) -1 (b) n (c) j (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 8. Suppose 0 = u + m*q + 17, 4*u - 2*q - 10 - 12 = 0. Solve 0 = -v - u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022032 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - v + 1. Let g(f) = 507*f**3 + 6*f - 6. Determine -g(l) - 6*x(l).\nAnswer: -495*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11769701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -17149 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178\/10 - ((-1156)\/(-170) - 7).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1440.9999241 + 1441. Round q to 6 decimal places.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 37 - 11. Let q = b + 30. Suppose -q*w + 9 = -3. Let g(k) = k**2 - 2*k - 1. Determine g(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1070, -1072, -1074, -1076, -1078?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j**2. Let f(t) = 1338*t**2 - 358*t. What is f(r(c))?\nAnswer: 108378*c**4 + 3222*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 534727637 to the nearest ten thousand.\nAnswer: 534730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 589 - 575. Suppose -7 = -q + 2*h, 7*q - 27 = 2*q + 2*h. Calculate the remainder when l is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a + 2661284 = 609217. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211304635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 2*a - 11. Let i(t) = -4*t - 37. Let r be i(-9). Let q be 2 + (r + 0 - -5). Let v be c(q). Solve 2*g = 7*g + 25, -3*u = 5*g + v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82340149609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*g + g - 339, 3*g - 2*x - 349 = 0. List the prime factors of g.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*x + 181 = -479, -2*r = 2*x + 268. Let a = 155 + r. Suppose -4*i = 2*c - 20, c - 2*c + 5*i = 4. Calculate the remainder when a is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/25)\/(4\/(-10)). Suppose 0 = 4*n + 8, 6*x - 2*n = x + 49. Suppose -u*d + x - 3 = 0. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m - 115. Let i = m - -46. Calculate the highest common divisor of i and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 2*x**2 + 10*x + 5. Let r be w(5). Let u be 5\/(0 - 25\/r). Suppose -k - 32 = -3*k. Solve 0 = -u*t + k, o + 0*t - 12 = -2*t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 2*g + 140 = 0. Let d(z) = -z**3 + 15*z**2 - 17*z + 14. Let x be d(g). Which is bigger: -29 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -16*k + 272. Suppose r = p - 6*p - k, r + 67 = -4*p. Let o = 222 + r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**3 + 43*r**2 + 27*r - 24. What is t(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + z**2 - 5*z + 35. Let m be g(3). Let q = -2 + 5. Sort 6, -1, m, q in descending order.\nAnswer: 6, q, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -0.2 (b) -3 (c) 8\/5 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23397 (b) 1\/2 (c) 1485\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -9*j + 22, 0*j = -p + j + 12. Let q(l) be the third derivative of -p*l**2 + 0 + 1\/60*l**5 + 2*l**3 + 0*l + 1\/24*l**4. Give q(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114552941.\nAnswer: 114552941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 3. Let j be v(0). Suppose j*o + 31 = 8*o - 2*l, -16 = -5*o - 3*l. Suppose -16 - 34 = -o*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -579, -312, 135, 762, 1569, 2556, 3723?\nAnswer: 5070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/265, -1\/4, -0.4.\nAnswer: -0.4, -1\/4, 2\/265, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 2*z**4 - 96250*z**3 + 192502*z**3 - 96253*z**3 + 1 + 15*z**2 to r*z**4 + j + g*z + k*z**3 + t*z**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19942404 divided by 9971202.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3*1)\/(5 - 6). Suppose -j + y + 5 = s*y, 11 = 4*j - y. Let m(q) = 2*q + 1. Let p be m(5). Solve -3*a - j*h + 27 = 0, -4*h + 20 = 3*a - p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 68813395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3052669, -3052668, -3052667, -3052666?\n\"Answer: y - 3052670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 7:00 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) + 5 + sqrt(68) + (sqrt(68)*-3)**2)) + 3.\nAnswer: -614 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + (-1 - -3) - (-43 + 41)) + -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 - 1.6. What is the third biggest value in -1, f, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13 + 0*u**2 + 15*u - 4*u**2 + 19*u**2. Suppose -5 = r + 3*j + 1, -2*r + 5*j = 12. Let f(m) = 7*m**2 + 7*m + 6. Calculate r*b(n) + 13*f(n).\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b - 1. Let m be b\/10 + (-96)\/(-15). Solve -m*z - 20 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 + 2*t + 1. Let r be 2 + (1 - (4 - 3)). What is the remainder when q(r) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 1. Suppose 295*q + 36 = 301*q. Let y(l) = -6*l - 5. Suppose 0 = 8*v - 182 - 58. What is q*y(d) + v*s(d)?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -4068372\/13, -4, -2\/3, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -27. Let a be (-26)\/(-6) + u\/27. Calculate the highest common divisor of 25 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or 0.20531?\nAnswer: 0.20531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 491224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57 less than 1074580712176?\nAnswer: 1074580712176.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 10*p + 2 - 7*p - 4*p**3 - 24 + 9 as i*p + x*p**3 + v + j*p**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5\/15 + 574*g**4\/15 - 38*g**3 - 574*g**2\/15 + 572*g\/15 = 0.\nAnswer: -1, 0, 1, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2 - k**2 - 5*k**4 - 4*k**4 - 4*k**5 - k**2 - 6*k**3 = 0. Calculate k.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9262.63881 - 8972.642. Let x = a + -290. Round x to four decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**4 + z**2 + z. Let i(q) = -7*q**4 - 4*q**2 + 3*q. Let l(b) = i(b) + 4*u(b). Find the second derivative of l(s) wrt s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42087823 or 42087822?\nAnswer: 42087823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14*(-196)\/(-56).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2 - 2769*p + 27390 = 0. Calculate p.\nAnswer: 10, 913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80476.99 grams to tonnes.\nAnswer: 0.08047699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 w when three letters picked without replacement from {u: 9, m: 1, y: 7, w: 2}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 9 = -4*r + 44, 3*r + 83 = -4*m. Let b = 21 + m. Let l = 21 + b. Calculate the remainder when 50 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**2 - 4*b - 9. Let s(o) = 17*o**2 - o + 8 + 6*o - 14*o**2. Let a(j) = -3*s(j) - 2*t(j). Calculate a(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 7*q**2 - 8*q - 3. Suppose 22 = 3*f - 5*i, -2*f + i = 4 - 14. Suppose 2*m + f = s, 7*s = -3*m + 4*s - 24. List the prime factors of w(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:25 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5*(0 + sqrt(700)*5))**2 + -1)*1.\nAnswer: -2624994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -250 - -184 - (-15 - -32).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4571486 or -4571488?\nAnswer: -4571488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*r + 91*r + 19*r**5 + ((-1 - 1 + 4)*(-4*r + r + 2*r) + 3*r - 2 + 2 - 1 - 4*r + 1)*(-5*r**4 + 3*r**4 - 3*r**3 - r**3).\nAnswer: 25*r**5 + 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -16)*(-15)\/12*-1. What is the greatest common divisor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10 = 0, 0 = -i + 4*a + 15 + 7. Calculate the remainder when 34 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53623007278 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 + 1 = 0. Let n be -2*(44\/(-8) + h). Suppose 5*g + 2*s = 190, -n*s = 2*s - 25. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 14002953 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 208 = 76. Let f = 143 - w. Solve 2*o = -5 + f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 784\/44 + ((-285)\/(-55) - 5). Let p be (-3 + 55\/y)*-58 - -3. What is the third smallest value in 2, -0.1, p, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, r: 3, p: 9, t: 2, i: 2}. Give prob of picking 1 d and 2 i.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 3, z: 2, j: 1}. Give prob of picking 1 j and 2 o.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 11. Suppose -3*q = 2*q + 5. Let v(l) = -1. Let y(s) = q*m(s) + 4*v(s). What is the units digit of y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 247459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -19*k**3 - k - 2. Let w be c(-1). Is 19 a factor of 2236\/w - (60\/27 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80538\/45032 - (1 - (-19)\/(-13))\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 32 and 1953?\nAnswer: 1921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3*(sqrt(154) + sqrt(154)*2) - sqrt(154))\/(sqrt(44)*2))\/((sqrt(28) - (sqrt(252)\/(sqrt(18)\/sqrt(2)) - sqrt(28)))\/(-2*(2*sqrt(4) + sqrt(4)))).\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 62. Let b(a) = a**3 + a**2 + 14*a + 2. Let l be b(0). Solve 4*u = 5*d + l + 3, 0 = -2*u - 4*d + o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-5) - (7 + -6). Let v(h) be the first derivative of 0*h**3 - j*h**5 + 0*h**4 + 2 - h**2 + 0*h. Find the second derivative of v(p) wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(162) - (-5*sqrt(162)*-2 - sqrt(162))) + -1*sqrt(162)*1)\/((sqrt(60) + sqrt(2160)*-2)\/sqrt(10)).\nAnswer: -108*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t - 2*t**5 + 7*t + (0 - t**3 + 0 + (t**3 - 5 + 5)*(5 + 0 - 3) + t**3 - 2*t**3 + 2*t**3 + 4 - 4 + 3*t**3)*(3*t**2 - t**2 + t**2).\nAnswer: 13*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.6. Let b = 0.58 - 0.6. Let i = -0.98 + b. Sort d, 4\/3, i in ascending order.\nAnswer: i, d, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -843*j*s**3 + 87203*j + 123811985*s**3 wrt j?\nAnswer: -843*s**3 + 87203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/80 - (-15224)\/(-5). Let j = t + 57869\/19. Factor -2\/19*y**2 - j - 16\/19*y.\nAnswer: -2*(y + 1)*(y + 7)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99*i*q - 2*i*r + i + 27*q*r - r wrt r.\nAnswer: -2*i + 27*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/17416 and -23\/6220.\nAnswer: 87080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -10068 and -1854815.\nAnswer: -1864883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h**2 + 5*h**2 + 3 + 17*h - 15 - 18*h + h**3. Let a be f(4). What is the closest to a in 1, 3\/5, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3449*k + 32 = 4*t + 3448*k, 2*k = -8 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/(1\/2). Let o be 0 - (g - (-1 + 2)). What are the prime factors of o - (20\/(-2) + -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 11749*t**4\/4 + 4711*t**2\/2 - 1506. Find the second derivative of l(c) wrt c.\nAnswer: 70494*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87340135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10980103115 + 28304505664. Let h = -17324402461.00000029 + m. Let l = h - 88. Round l to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90421867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2. Let x(d) = -13*d. Determine x(j(r)).\nAnswer: -65*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 9*t**2 + 22*t + 3. Let x be s(11). Sort -3, 8, 0, x in descending order.\nAnswer: 8, x, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*q + 28, -2*h - 2 = -2*q - 4. Suppose 3*j - h*j = -14. Calculate the highest common divisor of 77 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 3. Suppose 0 = j, 2*f + j = -2*j - 20. Let l be o(f). Solve -2*q - 5 = 3*d, 4*d = 7*d - q - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2313, 4, 1218, 3 in decreasing order.\nAnswer: 1218, 4, 3, -2313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32021 is divided by 151.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 48.64905m?\nAnswer: 48649050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3554447 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + q - 4*q + 27 = 0, -3*q = -2*d - 48. Is 19 a factor of 2*(-4)\/(8\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Suppose p = -5*d + 3*d + 6. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -19777, -5, 23 in descending order.\nAnswer: 23, 1, -5, -19777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3068\/3 - -110431\/108. Calculate the common denominator of t and 103\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891071061?\nAnswer: 3, 297023687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - t - 13 = -4, 0 = 3*t - 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 divided by 2?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149 - -135. Let x be (0 - (-40)\/c)\/(22\/(-385)). What is the highest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f - 5. Let h(r) = -17*r + 9. Let s(d) = -6*h(d) - 11*i(d). Let m be (-4)\/6*(-6 - -9). What is s(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17529171.\nAnswer: 3, 11, 647, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.01*6527924\nAnswer: -6593203.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -907\/63 - -100\/7. Let v = 0 - 4. Sort i, v, -0.01 in increasing order.\nAnswer: v, i, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 124*z + 164. Let d be w(2). What is the greatest common factor of d and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 9:02 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 630, 641, 674, 741, 854?\n\"Answer: 2*c**3 - c**2 + 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -344*b**2*n**2 - 678058102*b**2 + 162769*n**2 wrt n.\nAnswer: -688*b**2*n + 325538*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**3 - p**3 - 2*p**3)*(-6*p + 2*p + 3*p) + 8 - 2481*p**4 + 2479*p**4 - 4*p + 2*p**2 + 3 to y*p**2 + x + r*p + d*p**4 + b*p**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1083 divided by -3\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 20. Let d be (8\/(-6))\/(((-10)\/(-3))\/(-10)). Solve 0 = v*j - d*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1969809592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 111232 divided by 316\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16626*l = 2194*l - 131740 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4744320643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*a - 4. Suppose -22*b - a = -8*b. Let g(w) = -5*w - 6. Let u(i) = -i - 1. What is b*g(x) + 3*u(x)?\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(1854\/(-465) + 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5.13 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 2*w**2 - 5*w - 2. Let u be n(-3). Suppose f - 1 = -2*f - u*i, 2*f = i - 3. Suppose -3*c - 5 = 2*c. Is f smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {r: 1, k: 1, l: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + sqrt(8)\/sqrt(4))**2 + (sqrt(200)*-1 - sqrt(200))**2 - (sqrt(200) + (6*2*sqrt(200) - sqrt(200)) + sqrt(200))**2).\nAnswer: -65988 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29008 + 29008. Let c = -0.3 + -3.7. Let t be ((12\/(-10))\/(-2))\/(-1). Sort c, 23, p, t.\nAnswer: c, t, p, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = v - 5*d, 3*d + 0*d - 507 = -3*v. What is the highest common divisor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 35. Let s be x(17). What is the units digit of ((-6)\/(-54) - 2842\/s) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/2, -0.5, -15954?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 e when four letters picked without replacement from {r: 2, e: 5, k: 6}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78791 is divided by 241?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 9*j. Let u(l) = l + 4. What is the lowest common multiple of g(-8) and u(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 26?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 5, y: 3}. What is prob of picking 1 y and 1 k?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 10*t - 21. Let j be f(-12). Suppose 5*a = 4*a - 5*i + 96, -j*a + 342 = -3*i. Let c = a + 41. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - l)*(0*l**2 - l**2 + 2*l**2).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 8. Suppose 2*y + y = t. Solve y*u = -3*u + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**1))**(-49)\/((z**(-2\/21)*z)\/(z\/(z\/(z*(z**(-2\/9)\/z*z)\/z*z)))) assuming z is positive.\nAnswer: z**(-3095\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7*8205\nAnswer: -57435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 2 - 2)*((2 - 2 - 2)*(5 - 2*g - 5) + 3*g - g + 0*g) - 2*g**4 - 2*g**4 + 6*g**4.\nAnswer: 14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19\/914 (b) -2 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -30*s. Let g be d(-1). Suppose -19 = -5*p + 41. Calculate the greatest common divisor of g and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*q**2 - 278*q**2 - 2*q**3 - 5*q**3 + 696*q**2.\nAnswer: -7*q**3 + 757*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16758 + 16660 - 360*z**2 + 723*z**2 - 364*z**2.\nAnswer: -z**2 - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {c: 6, w: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 642735.9mm?\nAnswer: 642.7359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n = 24. Suppose -w = -2*i + n, -3*w = -7*w. Suppose i*m - 24 = 5*h, 0*h + 27 = 5*m - 4*h. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 12 - 20 - -4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/(-1505))\/(6\/(-20)))\/((-34)\/(697\/41)).\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 12 + 4*x**3 + 17*x**3 + 10*x - 5*x**2 - 24*x**3. What is the units digit of j(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*sqrt(180) - (sqrt(180) + 1 + -2) - ((-3 + sqrt(180))*-4 + -4 + 0))**2.\nAnswer: -1932*sqrt(5) + 95269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2374750 (base 8) to base 14\nAnswer: -1303a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*n**4 + 15*n**5 - 90*n**4 + (n**4 + 0*n**4 - 3*n**4)*(0 + n + 0) - 93*n**5 - 8*n**2 + 95*n**5 + 27*n**2.\nAnswer: 15*n**5 + 19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -16*o**2 - 19*o - 60. Let z(w) = -w**2 + 2. Let m(h) = -c(h) + 4*z(h). What is the units digit of m(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1. Let d be -1 + o\/(1\/(-1)). Suppose d*p + 5 = p. Solve 5*y - 5*j = -p, 0 = -5*y + 2*j - 3*j + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 635818*a*z - 8*a - 3654395*z + 4 wrt a.\nAnswer: 635818*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/14 + 6\/((-126)\/51)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -899, -1, 0, -31 in increasing order.\nAnswer: -899, -31, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Let m be j(5). Suppose -5*u + 0 = -m. Find the second derivative of 3*h**u + h**2 - 6*h**2 - h wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.06, 2\/1907, -4\/9, 3\/8, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2569202 and -3.\nAnswer: 2569199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 m, and 1 t when three letters picked without replacement from {o: 2, t: 1, w: 1, x: 1, m: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/23400*-25)\/(3\/4)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 13. Suppose -3*s = -12 - 0. Which is the nearest to 0.1? (a) 0 (b) l (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 185, 280, 359, 416, 445?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1384886 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 936 less than -7.9829?\nAnswer: -943.9829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 512 divided by 2\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.201 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*a = 3*a - 1471, s - 501 = 3*a. Let j = s - 476. Solve j*f - 8*f = -15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + 2132022334?\nAnswer: 2132022321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2 - 10643774*w + 10643776 = 0 for w.\nAnswer: -5321888, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -22*h - 25. Which is the third biggest value? (a) -0.5 (b) -5 (c) -1\/14 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5056224 (base 7) in base 6?\nAnswer: 20525000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**6\/120 - p**5\/60 + 10*p**3\/3 - 3*p**2. Let j be d(0). Solve 5*t = 3*i - 0 - j, t + 4 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 71, -8, -2\/9, 26, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -112734183, -225468364, -338202545, -450936726?\n\"Answer: -112734181*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**3 + 925*i**2 + 53040*i + 882180 = 0?\nAnswer: -78, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 157 = 1152. Let r = m + -184. Solve r*y + 5*c = 8*y, 8 = 4*y - 2*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1072 and 871?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 + i + 41 + 52 - 255 + 60 - 17*i.\nAnswer: -16*i - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x**2 - 37 + 37.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17675645 times -5?\nAnswer: 88378225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - 0.1. Let b = 13.23 - 0.23. Let k = b + -14. What is the nearest to 1\/2 in z, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5217 - 5145. Calculate the greatest common divisor of 369 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96662 (base 16) to base 11.\nAnswer: -390921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(-14))*i\/((i**4*i)\/i) assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 2, t: 6, z: 6, j: 1, h: 2}. Give prob of sequence wj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1195100 and 740?\nAnswer: 1195100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-1725)\/(-60))\/(885\/708)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 6*v**2 - 21*v + 6. Calculate o(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b*b**(1\/3))))\/(b\/(((b*b\/(b\/(b**(5\/3)*b)))\/b)\/b)))**(-4\/13)*b**(-1\/5)\/(b\/(b**(2\/7)*b))*(b**(-1\/2)*b)**(6\/7) assuming b is positive.\nAnswer: b**(94\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 45*a - 820 - 195. What is the greatest common divisor of a and 1088?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53117 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:06 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/180 - 8\/60. Which is the nearest to -0.2? (a) -1 (b) -1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-3\/5))*z\/(z\/(z**(-1)\/z)))**(-1\/11))**(-9) assuming z is positive.\nAnswer: z**(-117\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -2)*(16\/(-12))\/(-2). Let o = 23\/48 + 3\/16. Put o, -2\/13, u in decreasing order.\nAnswer: u, o, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 74.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18591 and -0.17.\nAnswer: 3160.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176 - 134. Suppose -m*n + 32*n = -960. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 987, 2031, 3077, 4125?\n\"Answer: v**2 + 1041*v - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 29*y + 293080. Is ((-21)\/2)\/(51\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 divided by -2\nAnswer: -123\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/9)\/((p\/p**(1\/23))\/p*p)*(p**(-12)\/p*p)**10 assuming p is positive.\nAnswer: p**(-25130\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2010\/7, 1.2, -658 in increasing order.\nAnswer: -658, -2010\/7, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -233032332 (base 4) to base 6\nAnswer: -4051410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147146 is divided by 7611?\nAnswer: 2537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13638397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 + 10 - (-1 - -1)) + 87. Let h = d + -118. List the prime factors of h\/(-11) + (-2 - -3)*83.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from unnuinninijsjqqnji.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4023\/5 + -804. Which is the closest to 0.2? (a) 2\/21 (b) -12 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c + 122. Let i = -1243 + 1256. Determine d(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2081555 at least as big as -2082034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244316805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 349 - 105. Let d = v - 154. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308.3054 kilograms to tonnes.\nAnswer: 0.3083054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/1*(-6)\/55.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c\/(c\/c**(-6))))\/c)\/c)\/c**(-1\/4)*c**6\/(c\/(c**(-2)*c)))**(-1\/18) assuming c is positive.\nAnswer: c**(-37\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {k: 3, m: 3, h: 1, v: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -377*p**5\/5 - 493*p**3 - 700. What is the third derivative of y(j) wrt j?\nAnswer: -9048*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, 144, 21, 0, -1 in descending order.\nAnswer: 144, 21, 17, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbg when three letters picked without replacement from wwwgblggblwbllb.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 13*p - 6 + 7)*(3*p + 2*p - 3*p)*(-41*p**2 - 362*p**2 + 56*p**2).\nAnswer: -9022*p**4 - 694*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 46*z - 1. What is s(46)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 331, 487, 623, 733, 811?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(sqrt(128) + 5)*5.\nAnswer: -40*sqrt(2) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 + -1 + 1 - (-22 - (-28 + (-54 - -57))).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -88\/4575 in 0.2, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -645, -280, 717, 2664, 5879?\n\"Answer: 53*q**3 - 2*q**2 - 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + (-4 - 0 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(1300) + sqrt(1300).\nAnswer: -4 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 25*q - 17. What is the remainder when 97 is divided by l(2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265, 963, 2099, 3679, 5709, 8195?\nAnswer: 11143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 48 + 428 = 4*y, 2*d = 5*y + 261. Suppose -4*l = -840 - d. Suppose -4*c + l + 45 = 5*r, -113 = -2*r - c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.65 in 3\/7, -11560, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -4\/7 (c) -1\/4 (d) -0.037 (e) 0.04 (f) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44298 divided by 1.\nAnswer: -44298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**5 + 4*y**3 + 3*y. Let a(d) = 5*d**5 - 3*d**3 - 2*d. Let j(w) = -4*a(w) - 3*m(w). What is the second derivative of j(i) wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) -0.4 (c) 6 (d) -2\/53 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76875*z**2 - z**3 - 38448*z**2 - 38427*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32288 + -3487067\/108. What is the common denominator of v and 19\/1719?\nAnswer: 20628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-16)\/y*y\/y**23 assuming y is positive.\nAnswer: y**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k**3 + 22*k**3 + 38*k**3 - 67*k**3 - 19*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 7 = 3*h, -l + 6*l = h - 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, 3, 6, 11, 18, 27?\n\"Answer: m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 13. Let q be m(10). Suppose -q*n + 30 = -4*n. Suppose -5*u = -0*u - n. Solve 0 = -2*l + 2 + u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -355300 - 6?\nAnswer: -355306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536.5359 rounded to the nearest ten?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132530 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, c: 1, d: 3, h: 2, x: 1, f: 1}. What is prob of sequence jd?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -690522 divided by 115087?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-20)\/12)*-18. Suppose 3*i + 5*m = 179, 3*i - 4*m = -p*m + 176. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 129)\/((-70)\/28). Let n = g - -11977\/235. Calculate the common denominator of -34\/3 and n.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 367.74284.\nAnswer: -147.097136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100112100010001 - 0?\nAnswer: 100112100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23416076 minus 1?\nAnswer: 23416075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**3 - 4185735*t**2 - 8371485*t - 4185745 = 0.\nAnswer: -1, 837149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.55 - 1.45. Which is the fourth biggest value? (a) -1\/3 (b) 1 (c) v (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -9, -1\/6, -23, 1\/6, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 645.7969 to one decimal place.\nAnswer: 645.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 11*n**4 + 29\/8*n**8 + 0*n**6 - 2*n + 0*n**2 + 0*n**5 + 0*n**7 - 1 + 0*n**3. What is the third derivative of z(f) wrt f?\nAnswer: 24360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 6*b**2 + 5*b + 5. Let t be l(-5). Suppose t = 4*z + 13. Suppose 40*q = -46 + 6. What is the smallest value in -5, z, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18421 and 459511?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15726553.\nAnswer: 15726553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*(3 + (((sqrt(400) - 3*sqrt(400)*-1) + sqrt(400))\/(-3*(sqrt(8) + sqrt(16)\/sqrt(2) - sqrt(8))))**2)*5.\nAnswer: -25504\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 1*(4 - 1). Let j(t) = -9*t + 62. Let m be j(d). Which is the closest to m? (a) -0.5 (b) -12 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -b - 23, -5*b - 16 = -2*v - 3*b. Let s be v\/(40\/(-24)) + 4. Solve -5*i - s = -6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 4 + (-1 + 1 + 2)*(-1 + 1 - 2))*(-2*w**2 - 2*w**4 + 2*w**2) in the form r*w + t*w**3 + h*w**4 + x*w**2 + c and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126 - 128.85. Let w = -0.05 - -0.2. Let k = h - w. What is the smallest value in 0.2, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 78*c - 19. Is x(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 - -450232003?\nAnswer: 450231524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3359, -6649, -9871, -13025, -16111?\n\"Answer: 34*b**2 - 3392*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 8 = p, 10 = 2*y - 4*y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1563968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + (1 - 2) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16644 - -16938. Calculate the lowest common multiple of 60 and n.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.4, 1007, 0.5, -5, 0.25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 11. Let x = r - 3. Which is the biggest value? (a) 4\/7 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(2 + 2\/(-2)). Suppose 3 = -i*z - z. Let l be (4 + 6\/z)*2. Put l, -2, 5 in increasing order.\nAnswer: -2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5568)\/(-2781) - (0 + 2). Let h be 5\/(-20) - 21305\/7416. Let d = g - h. Calculate the common denominator of d and 75\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v - 23. Let g(l) = -5*l - 12. Calculate -7*g(w) + 4*r(w).\nAnswer: -w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a + -1a1?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-9) + 236\/1224. Let m = 321 + -292. Let f = m + -29. Is f bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52.758 + -272.332. What is o rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/20 - 2*n**3\/3 + 9*n**2. Let x(o) be the first derivative of j(o). Let v(b) = -2*b + b + 2*b. Determine x(v(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15393*w - 9995 wrt w?\nAnswer: 15393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 3*y + 7, p + 5*y = 2*p + 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**4\/24 - a**3\/2 - 171*a**2. Let d(u) = -8*u + 20. Calculate -3*d(j) - 20*r(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2)\/(-12 - 2162\/(-235))\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1924*x + 9572. Determine f(-5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50173422?\nAnswer: 2, 3, 13, 29, 41, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1528*u**3 + 1518*u**3 + 1602*u**3 - 4667*u**3 - 103*u**2 + 103*u**2.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(2 + 3*x - 6*x + 2*x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 1. Let l be n(-1). Let w = -468 - -471. Solve 0 = 5*q - 2*m + 10, -w*q + 4*m = 2 + l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*z + 3*z - 8*z)*(4 + 5 - 5)*(3*z - 4*z - 3*z) to q*z + m*z**2 + f and give m.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688853533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 14 = -y, 209*m - 205*m = -3*y + 36 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5 - 2*c**3 - 49*c**2 + 36*c**2 + 3*c + 4. Is z(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {f: 1, s: 5, t: 7, v: 3}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*h + 85*h - 102 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 3*i**2 - 6*i - 8. Let x = -70 - -74. Let o be q(x). Calculate the greatest common factor of o and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229280355?\nAnswer: 5, 31, 7930841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*(133\/(-322))\/19.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95786*a - 95782*a - 10*a**2 + 39*a**2 - 95787*a + 287355*a.\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 15. Let h be y(7). Let c be (-13)\/(-5)*h + -3. What is the second smallest value in -0.1, -2\/15, c?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 11*p**2 + 12*p - 4. Let k be c(-12). Let b = k - -16. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.23 and -55162.7?\nAnswer: -12687.421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -1000 + 1015 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - (4 - -11)\/5. Let 24*s - 92*s**2 - 2 - 55*s**4 - w*s**4 + 10*s**4 + 120*s**3 = 0. What is s?\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*s - 43 = -4*s, 51 = a + 2*s. Let j = a - 44. Suppose p = -j*p. Solve 3*o + 6 = -p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*f + 42*f**2 + 5*f**6 + 22*f + 2*f**4 - 16*f**6 + 73*f**6 wrt f.\nAnswer: 7440*f**3 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -191137 at most -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -136? (a) 8\/11 (b) -1\/16 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q - 29*q - 13*q - 14*q**2 as m + o*q**2 + b*q and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s - 4 + 3*s - 18*s - 4. Let x be i(-3). Let r = -46 + x. Solve 0*n + r = -3*n, -4*n - 21 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -9.5. Let m = 28.17 + -28. Let u = -0.37 + m. Which is the third biggest value? (a) u (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810 is divided by 434.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 547818563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2 - 31716*f + 125738082 = 0 for f.\nAnswer: 7929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -106 and -106 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 21*d**3 - 2*d + 1. Suppose -5*j = -2*j + 60. Let g = 21 + j. What is the remainder when 57 is divided by w(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/2 + 113*f**2\/2 - 651*f\/2 + 963\/2 = 0 for f.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -40. Let j = l + 17.3. Let p = -28 + 28.2. Which is the smallest value? (a) p (b) 2\/15 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -9206.872.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1419921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*i + 18, 5*i + 0*j = 4*j - 24. Which is greater: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -13) + (6 - (34 - 2)) - -5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8764 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - -1. What is the least common multiple of (-12)\/36 + (-209)\/(-33) and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 9518675.\nAnswer: 76149400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**6\/120 - p**3\/2 - 3*p. Let v(j) be the second derivative of b(j). Let y(f) = -2*f. Calculate y(v(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**6\/72 + c**5\/60 + 2*c**3 + c**2. Let l(o) be the first derivative of k(o). What is the second derivative of l(w) wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -5223717.\nAnswer: 1\/5223717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -22. Which is the second smallest value? (a) -2\/15 (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00237032 to 5 dps.\nAnswer: -0.00237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40994117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5 - 5 + 0*g - 2*g. Let f be o(-7). Suppose -2*n + f*y = -22, 5*y - y = 3*n - 27. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -57*s - 395. Let h(i) = -45*i - 316. Let o(t) = -11*h(t) + 9*z(t). Calculate o(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -22\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*p + 274*p + 0 + 0.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 552283 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 1519 and 486717?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -176751.317 to the nearest 1000.\nAnswer: -177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 339326980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 - 80 = -4*t, 0 = -2*t + 5*u + 18. Suppose -o = 2*i - 2 - 27, i + 5*o = t. Calculate the highest common divisor of i and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 48355.\nAnswer: -2\/48355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**6)\/q)**(-20)\/(q**(-3)\/q*q\/(q*q**(12\/7))) assuming q is positive.\nAnswer: q**(-940\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 21 - 219 = 0. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 40.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6188 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 + 13*n + 37. Let w(a) = -4*a**2 + 13*a + 37. Let x(i) = 3*b(i) - 2*w(i). Let r be x(15). Let d(j) = j**3 - 6*j**2 - 7*j - 7. Calculate d(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -37\/7 (b) 5 (c) -8 (d) 2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8748983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560617?\nAnswer: 560617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**4\/12 + 2*c**3\/3 + 5*c**2 - 4984*c. Give b(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91748 is divided by 18296?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s + 47. Give k(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - ((-20 - 0) + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-488)\/48 + (2 - 148\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d + d + 2*d)*(1 - 3 + 3) + d - 4 + 4 + 0 + 0 - 2*d)*((2*d + 2*d - 3*d)*(2*d - 3 + 3) + 2*d**2 + 0*d**2 + 0*d**2).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9 + ((-250)\/(-35) - -3))\/(4\/117082)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 39. Let g be (-32)\/6*(-9)\/3. Suppose 2*v = -n, 4*v - g = -4*n - 0*v. Calculate the greatest common factor of n and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977934803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2666, 2635, 2586, 2513, 2410?\nAnswer: 2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 11*f**4\/3 + 24*f. Let p(m) = -m. Let b(z) = -3*z. Let q(v) = -2*b(v) + 10*p(v). Determine c(q(s)).\nAnswer: 704*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + (5 - 6) - (-22 + 8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 15*l - 19*l. Let j = 126.99 - -30.91. Let c = j + -158. Sort -0.3, l, c.\nAnswer: -0.3, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 31*a**2 - 3*a - 7. Give j(-2).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899590 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 3*p**2 + 2*p)*(-p + p - 3*p)*(0 - 3 + 0) - 8*p**3 + 2*p**3 - p**3 + (-17 + 17 + 4*p**2)*(-5*p - 2*p + 5*p).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 503965210 to the power of 1\/2, to the nearest integer?\nAnswer: 22449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -5 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 4*u - 5*y, 483*y - 30 = 2*u + 479*y for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.33 - 7.9. Let c = u + -57.43. Let x = 57.0000133 + c. What is x rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -430\/3133 - 4\/241. Which is the closest to 1? (a) -5\/6 (b) r (c) -3 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -508132 + -136.\nAnswer: -508268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 1565640*f - 9393804.\nAnswer: -(f + 6)*(f + 1565634)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44746*y**2\/11 - 16258*y + 584\/11.\nAnswer: -2*(y + 4)*(22373*y - 73)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 609172?\nAnswer: 5482548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47770000 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 - 2*h**2 + 2*h - 891. Let b be l(0). Is b greater than or equal to -890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 1058 - 1250 = -6*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/21 - (-24)\/(-14). Let w(f) = -4*f**3 + 3*f**2 + 4*f - 2. List the prime factors of w(b).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18, 24, 30, 36, 42, 48?\n\"Answer: 6*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.83719 to one dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194827.\nAnswer: 194827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**7\/6 - x**6\/120 + x**5\/15 - 13*x**3\/6 - x**2 - 13*x. What is the third derivative of a(z) wrt z?\nAnswer: 840*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369 = 21*m + 19*m + m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y + 7. Determine x(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 279 - 421. Let t = v + 28. Let d = t + 122. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24025464 (base 8) to base 3\nAnswer: 100212221001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + j**2 + j. Let b(p) = -4*p**3 - 7*p**2 - 9*p + 25. Let l(y) = -b(y) - 2*t(y). Is l(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 108*n + 496. Give x(50).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, q: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/(-84))\/((-62)\/217).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 14*g**2 + 20*g + 58. Let j be l(15). What is the highest common factor of 532 and j?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66 - 12*q + 66 + 2*q**5 + (2*q + 4*q**5 - 2*q)*(-4 + 5 - 3).\nAnswer: -6*q**5 - 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:40 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 35) + (-3 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.0765 and -53?\nAnswer: -322.0545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1188100341 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrsgsjgsjljjsgggs. What is prob of picking 1 l and 1 j?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 1 + 3)*(-1 + 2 + 1)*(-n - 2 + 2) as s + i*n and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 2*f + 3*f)*(3*f**3 - 2*f**3 - 3*f**3) + (-2*f**3 + 4 - 4)*(-5*f + 3*f + f).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 17*o**3 - 3*o**2 + 25*o - 69. Let y be i(7). Suppose 5*c + l = 9654, 3*c + 9*l - 6*l - y = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/25*(-4 + 3 + 77\/22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128580731 to the nearest integer?\nAnswer: 11339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huxb when four letters picked without replacement from hcbxuubuuxxxwhhuwuw?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 1)*(2 - 2 + 2*c) - c + 2*c - 2*c - 4 + 3 + 4 + 2 - 5 + 4234*c to the form s*c + a and give s.\nAnswer: 4239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30614261?\nAnswer: 30614261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107856?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -403 (base 10) to base 4.\nAnswer: -12103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 10*g**2 + 11*g - 8. Let p(b) = 2*b**3 - 19*b**2 + 23*b - 16. Let n(l) = -5*j(l) + 3*p(l). Factor n(a).\nAnswer: (a - 4)*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 4 - (-57 + 19) - (0 + 1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -2 - (-1 - 2) - -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58370474111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + d0?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 31323*s**2 + 9*s - 22. Let f be o(4). Is f\/198 - 2\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**15*w)\/((w**9\/w)\/w))**(-47) assuming w is positive.\nAnswer: w**(-423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*g - 616*g = 154 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*m - 29 = -2*m, 19*v + 3*m - 45 = 0. What is the smallest value in v, -3, -0.2, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x + 29. Let i be c(-4). Solve 2*r = -2*r - 3*p - i, -p = 2*r + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*k, 2*k + 1 = 5*k + 4*a. Suppose 5*b - 3*v - 27 = 0, 4*v + 19 = 5*b - 12. Is k greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*o = -y - 14, 9 = 3*y - 4*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3779011 + -107185061.\nAnswer: -103406050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -135*y**4\/4 + 64462857*y**3\/4 + 86309510*y**2 + 29127983*y + 2387540 = 0.\nAnswer: -5, -2\/9, -2\/15, 477508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 110\/385*(-2)\/(-4)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 45, 42\/5, 1\/7 in increasing order.\nAnswer: 1\/7, 1\/2, 42\/5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579 + 551 = -4*i - 2*a, 24 = 5*i - 3*a for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1905\/3329 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2 + 31*f + 1 + 15*f**2 - 29*f. What is t(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 1 = h, h + 579 - 596 = 7*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -2. Let n(w) = w - z - 4 - 1. Let m = -1951 + 1951. Give n(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 + 33*q**3 + 48*q**2 - 528*q = 0. Calculate q.\nAnswer: -4, 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4*d - 36, d - 29 = 4*j - 9*j. Suppose -8 = -9*l + j*l. Let z be 0 - 1 - -27 - l. What is the greatest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 0.2, 12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-25))\/((-203)\/(-35) - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 7*s**2 + 20*s + 53. Is 6 a factor of y(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4348428 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = k + 12*k. Suppose 7*v = 2*v - k*c - 2636, -v - 541 = -4*c. Let y = -366 - v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {l: 1, o: 1, t: 2, d: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 4*y - 14)*(3*y**3 - 3*y**3 + 2*y**3) + (6 - 4 - 3)*(y**4 + 4*y**4 - 4*y**4).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 4.6\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/9 - 92*y**3\/9 - 962*y**2\/9 + 736*y\/3 - 128.\nAnswer: -2*(y - 1)**2*(y + 24)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/187 and -67\/125256.\nAnswer: 1377816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/5)*((g*g\/(g\/(g**(-5)\/g)))\/g)\/g*g*g\/(g*g**(-2\/9))*(g*g**(-2)*g)\/g*g*g assuming g is positive.\nAnswer: g**(-188\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p + 56*p + 45 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*v + 806403 = 134*v - 100230. Is 41 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231 by -231.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -96*s**3 - 9*s**2 + 8. Let t(l) = 24*l**3 + 2*l**2 - 2. What is 9*t(f) + 2*w(f)?\nAnswer: 24*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/4 - 3\/(-6). Let y = s - -12. Solve -2 + 27 = -y*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11202 (base 4) to base 3.\nAnswer: 111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (117\/(-33) + 2)*(-2)\/4*2 and -13\/53?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 8*p + 24. Let f = -2\/21673 + -1365155\/2644106. What is the common denominator of -4 - p\/(-54)*69 and f?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1865775 and -17919.\nAnswer: -1883694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141899*u**3 - 440462*u wrt u.\nAnswer: -851394*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(sqrt(75) - sqrt(3)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 11553 + 2658 + 5487 - 4142 as r*t + l and give l.\nAnswer: 15556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2336241 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 290 and 3.\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 8*a - 1136. Let m = a - 104. What is the highest common factor of 18 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*f, -p + 0*f = -3*f. Put 2, -2, p in increasing order.\nAnswer: -2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = -3. Let s = -3 - a. Let d = 12 + s. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7206 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-12))\/((-2)\/4). Find the third derivative of -3*f**3 + f**m + f**3 - f**2 - f**2 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1080 = -5*h. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -2*1\/(-2). Suppose 2*u + 3*i - 6 = 7, y = -5*u + i + 7. Solve -7*v = -u*v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10743 plus -0.0314?\nAnswer: -10743.0314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2. Let h(f) = -2*f**3 + 5*f**2 - 2. Determine h(v) - 5*w(v).\nAnswer: -2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.2 less than -6597?\nAnswer: -6548.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1355*b*s**3 + 5*b*s**2 + 2*b*s - 122*s + 359 wrt s?\nAnswer: 8130*b*s + 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15029?\nAnswer: 7, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 0.1 (c) -1\/10 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8339 divided by 1\nAnswer: -8339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2600 and 520?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 14. Suppose m = 4*b - 18. Suppose -32 = -b*s - 95. Which is smaller: -0.03 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 + 6 = 0. Solve -3*r = c*d + 15, -r - 2*d = -0*d + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.275086 times -72.1?\nAnswer: 19.8337006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(405) + -1) - (sqrt(405)*-1 + -3))**2.\nAnswer: -378*sqrt(5) + 3694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279265*m - 92340*m - 93462*m - 93464*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzhvhzzczvh. Give prob of picking 1 h and 1 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -405752\nAnswer: -162300.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316146 + 2*v - 316146.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.34 - -0.06. Let h = m - 1.4. Let z = -1.2 - h. What is the third smallest value in -2, -3\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 472 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41003333.\nAnswer: 7, 5857619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**8\/2520 + x**7\/630 - x**5\/90 + x**4\/36 + 2*x**3\/3 - 2. Let j(a) be the third derivative of q(a). Factor j(l).\nAnswer: -2*(l - 1)**3*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25400 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52.87 - 681.73. Round y to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmxmvmkmw. What is prob of sequence mwv?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 856 and 378840348.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2510 - -2510. Solve -2*x + 3*c = -1, -5*c + 3 = -x - t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Suppose -6*s + s + 20 = j. Suppose 4*u - s = 8. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = 14*a - 2383. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8492, -16982, -25472, -33962?\nAnswer: -42452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*x + 39 = -13 - 92 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 11:22 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*n**3 + 49*n**2 + 853*n - 29*n**2 + 3*n**4 - 899*n wrt n.\nAnswer: 36*n**2 + 126*n + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110903486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a + -172a?\nAnswer: -1747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/4)\/(c\/c**(-4))*(c*c\/c**2*c)\/c*c**(3\/4) assuming c is positive.\nAnswer: c**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -388 + 387.4. Sort -4\/5, 4, o, 0.4 in decreasing order.\nAnswer: 4, 0.4, o, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, 75\/26, 0.191?\nAnswer: 75\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwnnwnnnwwwnwwwnnwwn. What is prob of sequence wwnw?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6157219 is divided by 106158?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(6*sqrt(112))\/(sqrt(4) - sqrt(40)\/(-1*sqrt(10) - sqrt(10))))**2.\nAnswer: 114688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**4 - 776*d**3 - 24080*d**2 - 174048*d = 0.\nAnswer: -14, 0, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - u + 3. Let q(p) = p**2 + 20*p + 47. Let h be q(-17). What is d(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5596?\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*t - 63 = 7686. What is the remainder when t is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 4 = 14*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -25. Suppose -f*r + 97 = -29. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5337717 - 117410539\/22. Suppose -5*o + 3481 = 4*a - 0*o, 0 = -3*a - 2*o + 2616. Let d = t - a. What is the common denominator of 83\/18 and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 16.46, -1\/15, -39.2?\nAnswer: -39.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.02274407 rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 53593 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10134 - 10094. What is the highest common divisor of 1330 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 10, z + 2*z + 5*k = 94. What are the prime factors of (z*-1)\/(-2) + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**4\/12 - 26*f**2 - 2. Let w(l) = 46*l + 2. Give s(w(q)).\nAnswer: -92*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = w + 4*w. Suppose -4*v + 1 = b, 13 = b - 5*v + w. Suppose s - 14 = -5*o, 1665*o - 2 = 1670*o - 3*s. Solve 3*r + b = -o*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, y: 1, q: 2, t: 3, v: 6}. What is prob of sequence tt?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/8)\/((-12)\/(-208)). Does 18 divide (-958)\/q + (-16)\/(-104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -33. Suppose o = -r, 107 = 2*t - t - r. Suppose -3*y + 6*y - t = -5*x, -4*y - 3*x + 139 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 78*m**2. Let d(c) = 10*c - 4. Let b(r) = 8*r - 2. Let z(w) = 8*b(w) - 4*d(w). Determine x(z(a)).\nAnswer: 44928*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.5448 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:53 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/12)\/((-1)\/2*-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + -2592?\nAnswer: -2574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**5\/(p*(p**4*p)\/p*p))\/(p**(1\/2))**(1\/3))**10)**14 assuming p is positive.\nAnswer: p**(-490\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 5867538?\nAnswer: 29337690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6490 by -3.\nAnswer: 6490\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**4 - 19*m**3 - 17*m**2 + m wrt m?\nAnswer: -24*m - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -4\/7, -2, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**4\/24 + p**3\/6 - 156*p**2. What is b(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 - 105\/20. Let n(o) = o**3 + 4*o**2 - 6*o + 2. Let h be n(i). Suppose 0 = -5*q + 5*r + h + 33, 5*r - 25 = 0. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 28 = a. Let y = a - -10. Suppose 0 = 4*r - 0*b - b - 234, 3*r - y*b - 180 = 0. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Let w be y\/3 + (-196)\/(-21). Calculate the common denominator of 2\/w + (-277)\/(-40) and -57\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 428271 - 613723. Let g = k - -63452. Round g to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 703258*t**3 - 758494*t**2 wrt t?\nAnswer: 4219548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quouuvvqfvdd. What is prob of sequence qvdf?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1176 + 1331. What is the remainder when m is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 10 = 5*f, -2*f - 6 = -3*s + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*w + 9*w + 65*w**2 - 15*w - 13*w**2 + 38 + 4 wrt w.\nAnswer: 104*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 + 83*d**2\/2 + 1052*d + 4160.\nAnswer: -(d - 104)*(d + 5)*(d + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13727 and 105709?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 5*l**4 - 2 + (2*l**2 + 3*l**3 - 2*l**2)*(-7*l + 0*l + 2*l).\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - x = 2*x - 79, -46 = -d + 5*x. What is the remainder when d is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/39, -52, -3\/32, -5 in descending order.\nAnswer: 2\/39, -3\/32, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4\/7 - 8546*t**3 + 119650*t**2\/7 - 59826*t\/7 = 0.\nAnswer: -29913, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxmz when four letters picked without replacement from bzbbmbbbbbbzxbmz?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 81757, 81679, 81551, 81373, 81145?\n\"Answer: -25*z**2 - 3*z + 81785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9025368 and 20.\nAnswer: 45126840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 18*q**2 - 39*q - 95. List the prime factors of y(-10).\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 0*j**2 + 4\/15*j**3 - 2\/25*j**5 + 1\/10*j**4 + 0*j + 2. Determine c, given that x(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, -1, 1, -8, -13 in descending order.\nAnswer: 1, -1, -2, -8, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-32) + 70\/8. Let o = -244 - -254. Suppose -16*q = -21*q + o. Solve -2*a - b = q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-936)\/(-16) - 6\/4. Let m = h - 41. Suppose -5*z - 1 = -m. Solve -3*r = -5*a - 7, 7*r - 3*r = z*a + 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*y + 10*y = 9154912. List the prime factors of y.\nAnswer: 2, 59, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i**2 + 3*i + 2. Is v(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(264))\/(sqrt(32)\/sqrt(4)*3))\/((sqrt(192) - sqrt(192)*-1*-6)*-5).\nAnswer: sqrt(11)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 11 = -4. Solve -3*h = -6*h + c*f - 21, -2*f - 6 = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6\/467 + 868\/5137. Put -3\/5, -2\/9, 0.5, z in descending order.\nAnswer: 0.5, z, -2\/9, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3 - 2. Let a(b) be the first derivative of 1\/3*b**3 + 1\/4*b**4 - 2 + b + 1\/2*b**2. Let x(p) = 4*p**3 + 2*p**2. Determine j*x(n) - 2*a(n).\nAnswer: 2*n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 12420*p**2 + 225688*p - 2598336.\nAnswer: -4*(p - 3123)*(p - 8)*(p + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a5 (base 14) in base 13?\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -3)\/(5\/(-5075)). Let l = c + -2109\/2. Let k = -265827\/63986 + 3\/4922. Find the common denominator of l and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 207, 790, 1759, 3108, 4831, 6922?\n\"Answer: -s**3 + 199*s**2 - 7*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-7))\/(18342\/(-7133)))\/(130\/12).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85\/207 - 2561\/7245. Which is the second smallest value? (a) -0.2 (b) z (c) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - 9. Let d = -20 - j. What is the remainder when 28 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + 4*(-2*sqrt(468))**2 - (1 + sqrt(637) + -2)**2.\nAnswer: 20*sqrt(13) + 6850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 15. Let c(b) = 41 - q - 20 - b**2. Let s(m) = -9*m**2. What is c(s(x))?\nAnswer: -81*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.1, 3, 1, -0.4, 1\/11, 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idfd. Give prob of picking 1 f and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78.814 + 0.186. Let g = x - 79.0066. What is g rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681314979 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/3*((-4)\/6)\/((-59)\/(68499\/(-430)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 3)*(-2 + 3 + 5) + 0 + 0 + 1 - 3 + 1 + 4 + (-1 - 2 + 1)*(-1 + 3 - 1))*(1 - 1 - 2*x**2).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(9\/5)\/f))**11 assuming f is positive.\nAnswer: f**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 6*n - 2. Let a be f(-5). Let b be (2\/2 - -3) + (-12)\/(-3). Let r be ((-18)\/(-84))\/(b\/(-28)). What is the nearest to a in 0, -0.5, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 892.8 - 3658.08.\nAnswer: -2765.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - -0.8. Let k be (130\/30)\/(-13) + (-5)\/21. Let r = 150 + -1052\/7. Sort r, s, k, 2.\nAnswer: k, r, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 3 - 10 + 4 - 748*t - 5.\nAnswer: -748*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 0.3 (c) 5 (d) 2\/107 (e) -2\/1663\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**4\/12 + v**3\/6 - 6*v**2. Let r be s(-2). Suppose -15 - 5 = -r*j. Calculate the remainder when 14 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -335 + 336 - (-1 - (-21 - 0)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 586, 542, 498, 454?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {e: 9, i: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-12) + (-1)\/4. Suppose -l + 2*r - 11 = y, 8*l + r + 66 = 3*l. Let n = 22 + l. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5495962519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 60*g + 55. What is the remainder when 384 is divided by q(60)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41140.9 rounded to the nearest 100?\nAnswer: 41100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34836, 138120, 310252, 551226, 861036, 1239676?\nAnswer: 1687140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 7*m**2 - m + 19. Suppose 0 = 2*y - 3*d + 14, 0 = y - 2*d - 0 + 7. Let b be -1 - 1 - (y + -2). Let t be q(b). Solve 5*p + 3 = -t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5939568 years in decades?\nAnswer: 0.05939568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -964396+14.6\nAnswer: -964381.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1770151 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 - 38\/(-6). Let g(r) = -33*r + 16*r + 12*r + 7. Let n(q) = 9*q - 13. Calculate a*n(w) + 11*g(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 13*k - 3*k - 29 + 29.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3580 and 18940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(1\/4*-6)*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*f + 38*f + 4*f**2)*(6 - 4*f**2 - 6).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 33*p + 7 = 35*p, 3*j = -p - 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 46350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5179077 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106433386.\nAnswer: 2, 37, 67, 21467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/11 - -31\/55. Let k = -1\/5 - x. Suppose t = j + 4, 2*t + j + 0*j = 5. Which is the second biggest value? (a) t (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g. Let d be (-1 - (-2)\/3)*(2 + -8). Let q be d\/((-3)\/(-6)*1). Let o(t) = 0*t - 3*t + q*t. What is o(r(b))?\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpneqenqqqhpqqqhq. Give prob of sequence npq.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14 + -0.13491.\nAnswer: -0.27491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 8 (b) 2 (c) 0.6 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b + 6. What is the derivative of -h**4 + 4*h**4 - 2*h**4 - 3 - b*h**4 wrt h?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*j - j = 20, -5*i + j = -20. Let h(s) be the third derivative of 1\/3*s**3 + 0 - s**2 + 0*s - 1\/6*s**i + 1\/15*s**5. Give h(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - f**2 - f. Let o be q(-1). Suppose -3*v = o*c + 14, 0 = -c - 3*v + 7*v - 7. Let i(s) = -2*s**2 - 15*s - 8. What is i(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(11) + (sqrt(33) - sqrt(66)\/sqrt(2))\/sqrt(3) + (sqrt(99)\/(sqrt(9) - sqrt(9)*-3))**2 + sqrt(11)).\nAnswer: 11\/4 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 4*h - 36, 96*h = -5*c + 95*h + 29 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -45*v - 5465. Determine j(-118).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -70 - 5?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.8766 * -49.3.\nAnswer: -1620.81638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 200.0516kg?\nAnswer: 200051600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 19*h**3 + 5*h**2 + 5*h - 5. Suppose -312 + 257 = -11*r. Let b(g) = -104*g**3 - 28*g**2 - 28*g + 28. What is r*b(z) + 28*x(z)?\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2973*r + 32570. Calculate i(11).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 656133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 37818, 4.\nAnswer: -4, -3, 4, 37818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*1*sqrt(84)*-3)\/((sqrt(12) - sqrt(768))*-4 - (sqrt(12) + (sqrt(132) + sqrt(132)*1)\/sqrt(11))).\nAnswer: 36*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -0.1 (c) -9.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -23. What is the remainder when m is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123011 + -112?\nAnswer: 1122233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -k + 3*s, -k = k - 2*s + 8. What is the first derivative of -10 + 4*w**3 + 14 + 0*w + k*w wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + y + 3, -4*y + 19 = -2*w - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-148)\/(-2442) + 47\/11 + -8.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*i)*(1 + i - i + i).\nAnswer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 392.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -5 + sqrt(2) + (sqrt(2) - sqrt(8)\/sqrt(4)))*-2)**2 + 4.\nAnswer: -40*sqrt(2) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -14 + 5 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9949 - -10007.41. Round z to the nearest integer.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1888630688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55169191\/2 or -27584596?\nAnswer: -55169191\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, v: 4}. What is prob of picking 4 u?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 41 + -92 + 44?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357172 is divided by 455?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*f - 10, 5*f + 3*r + 52620 = 52614 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let f = -1.1 - z. Let y = 193\/5 - 39. What is the biggest value in f, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24683?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 464.9673mg?\nAnswer: 0.0000004649673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3. Let d be (-8 - p - -1)\/(-2). Let k(f) = -139*f - 15009. Let n be k(-108). Solve -d*i + 0*w - 9 = 3*w, -n*i - 5*w = 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039157 is divided by 1302?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -156, -607, -1358, -2409, -3760, -5411, -7362?\n\"Answer: -150*z**2 - z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 7*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -22?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 222032471 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22075\/9 + 2453. What is the nearest to p in -10, 2, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 15.4, 0.18, -41, -5 in increasing order.\nAnswer: -41, -5, 0.1, 0.18, 15.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 148 = 514. Suppose v + 569 = 4*z. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 2, -18 in decreasing order.\nAnswer: 2, -1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7 + 10 - 2*t**2 - 3. Let b(y) = y**2 + 21. Calculate b(n(v)).\nAnswer: 4*v**4 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -10. Suppose 2*b = -w*b + 485. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 5 + 2*o**2 - 4 + 4*o + 5 + 0*o**3. Let r be k(3). Let d be (-2)\/(-3)*(-3)\/6. Is d smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 604 and 48.\nAnswer: 7248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 2*s - s + 0*s - 2*s + (3*s - 3*s + 2*s)*(-2 + 0 + 1) + (6 - s - 6)*(-4 + 13 + 3) in the form d*s + k and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (81\/4)\/((-9)\/(-48)). Let t be -1*(-2 - (-1 - 1)). Suppose t = 2*i - 0 - 24. Calculate the greatest common factor of i and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 13, k: 3, u: 1}. Give prob of picking 1 u and 3 k.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*g + 10 = 0, -3*c + 6*c - 2 = -5*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 5*w**4\/6 + 4*w**3 + 4*w**2 + 4*w + 36. What is the remainder when 336 is divided by x(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1405902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*p. Suppose -5*u + 3*j + 12 = 0, 13 = 3*u - p*j + 4*j. Solve -a - 4 = u*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 754926?\nAnswer: 21137928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-12)\/18*5\/2. What is the second biggest value in o, -1, -9\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(18)\/(sqrt(6)*1) - sqrt(6)\/sqrt(2)*-5))**2 - ((-6*(-2 + sqrt(3))*-6)**2 + -3).\nAnswer: -5181 + 5184*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-1)*(-2)\/(-5). Let p be (-4)\/(-2) - -1*r. Let k be (-1508)\/p + (-3)\/5. What is k rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-15 - -5) + 5\/(75\/(-78)). Sort -2, 0, 6, x, 2.\nAnswer: x, -2, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {i: 4, m: 2, v: 5}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + 31223301221?\nAnswer: 31223301103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1431 and 45?\nAnswer: 7155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167575 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-112)\/(-63) + (-2)\/(-9). Suppose -2*j = -2*v + j + 7, v = 5*j - 7. Calculate the highest common factor of o and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 161301, 641233, 1441119, 2560959, 4000753?\n\"Answer: 159977*f**2 + f + 1323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24245761279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -0.3, -1\/3, -0.04729, 0.5?\nAnswer: -0.04729","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00140341 to five decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3 - 199881556*m**2 + 605415742 with respect to m.\nAnswer: -6*m**2 - 399763112*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*20\/330*-1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1257142 divided by 82\nAnswer: 15331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 344196789 to the nearest integer?\nAnswer: 18553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -151 (base 10) to base 8\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-3))\/((-6)\/9). Let v = b - -11. Suppose m - 2*q = 3*m - 12, 27 = 5*m + 2*q. What is the least common multiple of m and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 109 - 116 = -5*a, -2*a - 2*l + 102 = 0. Suppose -h + 17 = -2*v, -3*v + 2*h - 27 + 1 = 0. Let g be (-71)\/v + 6\/a. Is g bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 3\/10*m**5 + 0 - 11*m + 4\/15*m**6 + 0*m**2 + 0*m**3 + 0*m**4. Find t, given that k(t) = 0.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62099.88168 rounded to the nearest 100?\nAnswer: 62100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1656.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2230 - -3816. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 7. Let k be j(9). Suppose -2*y = -3*g - 16, -5*y - k*g + 3*g = -40. Find the third derivative of w**2 - 9*w**3 - 10*w**2 - 7*w**3 + y*w**3 wrt w.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2096*h = 4*f - 2092*h - 100, -f = -38*h + 92 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1506, 4, -3, 164 in increasing order.\nAnswer: -3, 2, 4, 164, 1506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h**3 + h**3 - 3*h**3)*(3*h**2 - 2*h**2 - 3*h**2) - 12*h**5 - 7*h + 7*h)*(4 + 3 - 4).\nAnswer: -24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 86262 from 2.\nAnswer: -86260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 8*u - 268 = -10*u - 7*u for u.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -16. Let g = -38 + r. Calculate the remainder when g is divided by ((-855)\/(-36) + -23)\/(((-3)\/48)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 + 112*l + 2*l**2 - 112*l + 2*l**4 + 5*l**3 in the form v + x*l**3 + p*l**2 + q*l + n*l**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-5))\/((-8)\/(-80)). Is 7 a factor of l*(9\/12 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 16, e: 1}. Give prob of picking 1 f and 1 m.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 6:37 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2) + 1)*0. Suppose w = 4*n - 0*n. Is (3 - 5)*(n - 24) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2190000 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*o**5 - o**4 + 374*o?\nAnswer: -160*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.084 - -0.016. Put -5, -6\/29, a in descending order.\nAnswer: a, -6\/29, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/24 + 2 + (-5)\/20. Let z(y) be the second derivative of 0*y**2 + 3*y - 1\/12*y**4 + q*y**3 + 0. Find the second derivative of z(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-2)\/6)\/((-7)\/42)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*v + (-2*v + 3*v + 0*v)*(-3 + 4 + 0))*(-12 - 3*v + 12 + (-v + 2*v - 3*v)*(0 - 4 + 3)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - (-1)\/4. Let r(t) be the first derivative of 1 + t**3 + l*t - 2*t + t. Differentiate r(f) wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -134 + 11\/3*b**3 + b**4 + 3*b**2 + 0*b - 1\/5*b**5. Factor j(f).\nAnswer: -f*(f - 6)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.63 - -1.346. Let g = -0.79 + o. Let d = 3.826 - g. Round d to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*sqrt(171)*2)\/(-5*sqrt(144)).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -p + 7. Let i = p + 33. Let s be i\/(-3) + (-4)\/12. Which is the second smallest value? (a) -0.4 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -427 divided by 61.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b*b**16)\/b))\/b*b*(b*(b**(1\/9)\/b)\/b*b*b)\/b*((b*b\/b**(-6))\/b)**(-2\/49) assuming b is positive.\nAnswer: b**(-893\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 150603.\nAnswer: -1\/50201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, k: 5}. What is prob of sequence ll?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/891*36)\/2.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9 + 0 = -3*p, 0 = -4*p + 12. Suppose -g - 7 + 9 = t. Suppose 4*v + g*q = 462, 2*q - 230 = -0*v - 2*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/6))\/s)\/s*s**(-4\/3))**(1\/18) assuming s is positive.\nAnswer: s**(-13\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 2*f**2 + 10*f + 8. Give u(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 1, a: 1, x: 1, u: 1}. What is prob of picking 1 x and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 + -6 + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2394 and -5317.7.\nAnswer: 12730573.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 - 16605*b**4 - 1134995*b**3 + 49825*b**2 + 3371730*b - 2269960 = 0.\nAnswer: -67, -2, 1, 3388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10197?\nAnswer: 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4059*j + 2568 - 2568)*(j**2 + 3*j**2 + 0*j**2)*(-1 + 3 + 1) to q*j**2 + p*j**3 + l + t*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 414988 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2 + 690*y + 7711 = 0.\nAnswer: -11, 701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Let m = 6 - k. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*p - 15*p**2 - 42*p + 3*p**2 - 7*p**2 + 3*p**2 + (-p - p + 4*p)*(0*p - 4*p + 3*p) - 3*p**2 + 8*p - 8*p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5)*(-i**3 + i**3 - 2*i**4).\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200902064 and 3760?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -12. Let w = -11 + 8. Sort -2, u, w.\nAnswer: u, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21883 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*j**2 - 77*j**2 - 40*j**2 - 76*j**2 - 78*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 369*l**2 + 141*l\/2 + 3\/2 = 0. What is l?\nAnswer: -1\/6, -1\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -338*l**4 + 28002*l**3 - 50832*l**2 + 23328*l.\nAnswer: -2*l*(l - 81)*(13*l - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25969517*b + 147488633?\nAnswer: -25969517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919 is divided by 241?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {p: 1, l: 2, j: 3, d: 1, q: 8, o: 5}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/27)*f)**34 assuming f is positive.\nAnswer: f**(850\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/3 - 14*z - 715\/3 = 0. What is z?\nAnswer: -13, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 2*m**7\/7 + 8*m**6\/3 - 24*m**5\/5 - 46*m**4 - 278*m**3\/3 - 84*m**2 + 1328*m + 1. Suppose z(v) = 0. Calculate v.\nAnswer: -7, -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 48. Let y be (23*w\/(-15))\/(476\/(-142)). Let j = y + 7\/170. Calculate the common denominator of -103\/10 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -68 (b) 42 (c) 1 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 49 = k, -25 = -n - 5*k - 30 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in -0.39, 4, -2, -2\/9, 0.09?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 345013425*b**2 + 688928315 wrt b.\nAnswer: 690026850*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 k when three letters picked without replacement from asssska.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 76?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173*n - 225*n + 171*n)*(-6 - n**2 + 6).\nAnswer: -119*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - -25 - (-5 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1924 + 11*q + 1924.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + v + 19, -3*k + 14 = -k - 2*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 16 = s, -2*s + 4*y = -3 + 1. What is the remainder when 9 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 474, 950, 1426, 1902?\n\"Answer: 476*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.466 - -55.634. Let i = u + -100.4. Round i to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4784 - 0.6184. Put 0, x, -2\/3, 1, 2 in increasing order.\nAnswer: -2\/3, 0, x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + 32 = -481 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, y: 3, o: 6, m: 1}. What is prob of sequence nmoy?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 895 - 895 + 13*h - 2 - h + 2 + (-6*h + 0*h + 3*h)*(2 + 4 - 4) + 2*h + 0 + 0.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, w: 1, t: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*t**2 + 615*t**3 - 40*t**2 - 1990*t**3.\nAnswer: -1375*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/770 and 107\/80?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-10 + -11 - -12) + 17).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4426*g - 518784 = -182408 for g.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -0*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0374 + 8.9974. Let s = v + -9. Let x = 0.03 + s. Round x to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + 12. Let v be g(11). Let z = -13 - v. Suppose c - z*p = -3*p, 21 = -4*c - p. Sort 1, 4, c.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11012 + 1?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**2 + 6831688*i + 34158340 = 0?\nAnswer: -1707917, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 916. Is 34 a factor of s(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/2 - 1 - 10. Let x = q + 12. Suppose 0*f + 11 = 3*f - n, -2*n = x*f - 23. What is the smallest common multiple of f and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1705 (base 8) to base 4\nAnswer: -33011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 27 = 9. Suppose -4*k + 201 = -x + 6, -x = -m*k + 187. Let a = -15 - x. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(125) + -4 - ((sqrt(125) - (sqrt(125) + 1))*-3 - sqrt(125)) - (sqrt(45)\/(sqrt(45)\/sqrt(5))*2 + -1))**2.\nAnswer: -128*sqrt(5) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12413 - 12850 = 23*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, p: 3, i: 3, l: 2, a: 2, y: 2}. What is prob of sequence pal?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.5 - 0.3. Round q to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.21572963 to two dps.\nAnswer: -47.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6584922*q**6 + 2*q**2 - 169*q - 2750 wrt q?\nAnswer: -790190640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 3:42 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 16*c**2 - 25*c + 26. What is s(-14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14 = -i + 2*f, 4*f = 0. Calculate the remainder when 18 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*w + 7. Suppose w = -2*b + 11. Let c(x) = 59 - 30 - 31 + x. Give c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + 3 + sqrt(304) + 0 + -5 + sqrt(304) + 1 + sqrt(304) + 3))**2 + 2.\nAnswer: 864*sqrt(19) + 24770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 41 = -13. Let q = 106 - 105. Which is greater: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -140*b**2 + 7. Let o be s(3). Let z be o\/(-42) + (-2)\/(-12). Solve -x = -6*x - 5*l + z, -4*l = -8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 576787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 332*v - 78*v + 254 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6728751949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67318 and 347.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2560171093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216\/324*(18\/16)\/(-1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -11*f**4\/12 - 5*f**2\/2 - f - 80. Let t(q) = -12*q**2. Calculate t(i(d)).\nAnswer: -1452*d**4 - 1320*d**2 - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-1)\/((-3)\/(-18)). Let p = -6 - h. Let q(m) be the second derivative of -m**4\/12 - m**3\/3 - m**2\/2 - m. Give q(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 0.4669326706.\nAnswer: 0.7669326706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2579 + 2581. Let o(n) be the second derivative of -n**5\/20 + n**4\/12 + n**2 - 5*n. Determine o(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 61356*w + 368142. What is j(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 1187210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 45\/(-12))*-56. What is the common denominator of ((-55)\/30)\/(16\/u) and -9\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 677*q**3 - 4*q**2 - q - 8. Let n be (0 + 4)*3\/(36\/21). Let u be b(n). Round u to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (0 - 0) - (193 + 0 + -181).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 13 = 2*q - z, -4*z + 38 = 2*q. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p = -4, -2*p = -4*c + 14. What is the greatest common factor of c and 272?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 34 = -4*x + 26, 2*x = -4*m - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*p - 17 = 11, 61 = 3*c - 5*p. Find the third derivative of -264*i**3 + 264*i**3 + 55*i**2 + c*i**4 wrt i.\nAnswer: 408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 12 + -13 + 40 + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-2 - 0) + 2 + 5. Suppose g*r - r - 1345 = 0. Is r a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -934 + -562504.269922?\nAnswer: -563438.269922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**3 - 3*j**3 - 2*j**3)*(14*j - 19*j + 8*j) + (j + j**4 - j)*(-5 + 0 + 3) in the form n*j + f*j**3 + p + v*j**2 + i*j**4 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 9*g = -3*g - 143 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*m + 73 + 42 + 13 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -19. Let w(q) = -q**2 - q. Let p(b) = -4*b**2 - 4*b. Calculate t*p(a) - 26*w(a).\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/20)\/((((-2442)\/1295)\/22)\/1)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32201.03313 rounded to the nearest 10?\nAnswer: -32200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 20. Let d = 1 + -1. Suppose d = 2*w - 3*w - 5, -15 = -5*m - 3*w. Calculate the lowest common multiple of v and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 8437*c**2 + 17799960*c + 17791524.\nAnswer: (c + 1)*(c + 4218)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4564, -2567, 2850, 13397, 30784, 56721, 92918, 141085?\nAnswer: 202932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 174327537 times 3?\nAnswer: 522982611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -109*v**4\/12 + 409*v. Let a(p) = -p**2. Give q(a(h)).\nAnswer: -109*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -33. Suppose -v*u = -12*u - 4. Let h(i) = -2*i + 4. Let x be h(-4). Solve 0 = y + u*y + x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28200002\/(-3) + 16\/24. Round d to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15\/3016492?\nAnswer: 15\/3016492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/2148274 + 37059044\/2830350995. What is the common denominator of -9\/10 and v?\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, -3\/5, -44894?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-24)*((-40)\/440)\/(12\/(-22))?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-5 - 5)\/((-24)\/4 - -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3809 and 472609.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2233041210 + -4?\nAnswer: 2233041203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhhhhhr?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5 = -4*y - 8*t, 3 = -4*y + 3*t. Put y, 0.2, -7\/2 in ascending order.\nAnswer: -7\/2, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.9394 from -311631.57.\nAnswer: -311643.5094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002950648 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 739992?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f**5 - 111*f**4 + 237*f**3 + 66*f**2 = 0.\nAnswer: -11, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 303635.\nAnswer: -28\/303635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31850353?\nAnswer: 31850353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from cccbbcbcccccccbccb?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - 10\/(-5))\/(-2 + (-127)\/(-2)). What is the nearest to 0 in 0.1, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 1. Let o be k(3). Let n(g) = g**2 + 3*g + 6. What is the tens digit of n(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 times 941?\nAnswer: -149619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -p + 2. Let z = p + -98. What is the first derivative of 22 - 6 + z + 8*k wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - v = v - 2, -4*v = 5*i - 6. What is the common denominator of (-2)\/(-5) - 96\/(-35) and i*2\/((-12)\/(-58))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-114)\/9 - 3\/9. What is the units digit of (6 - 2)\/((-2)\/v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(66\/(-176))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14043104 - 41?\nAnswer: 14043013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 38*l + 41*l + 22, 0 = -3*w + l + 14. Let a(v) = -10 + 9 + 4*v + 6. Determine a(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*q**3 - 88*q**3 - 182*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3 + 3, 0 = 5*f - 5*n - 15. Does 5 divide (-159)\/(f - (-13)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137388 + 151908 = 42*c. Is c at least as big as 6888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from mlwqiii.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 1 + 4. Suppose 4*x - 3*j = -18 + 2, y*x = 3*j - 20. What is the units digit of (0 + 2)\/((-2)\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -5*a + 118. Let q = a - 80. Let j be ((128\/(-140))\/8)\/(q\/10). Which is smaller: j or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r. Let y(k) = 10*k. Let p(z) = 12*d(z) + 5*y(z). Let t be p(-2). Let f = t + 1. Is f greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/56*(18 - 15)\/(16 + 385\/(-22))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -349*y - 4. Let j(w) = 173*w + 2. Give -4*h(c) - 9*j(c).\nAnswer: -161*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(33)\/sqrt(3) + 1 + sqrt(891) + (0 + sqrt(891))*4 - ((0 + 0 + sqrt(11))*1 + (sqrt(704)*-1 - (sqrt(11) - 1*sqrt(11))*-3)).\nAnswer: 1 + 53*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35849*h**4*k + h**3*k - 448*h - 86594040*k wrt h.\nAnswer: 143396*h**3*k + 3*h**2*k - 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60875401, -60875409, -60875419, -60875431, -60875445, -60875461?\n\"Answer: -n**2 - 5*n - 60875395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -46. Suppose -u*j + 15 = -5*y, 0*j - y - 5 = -j. What is the least common multiple of j and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g = 2*a - 344 + 282, 0 = 2*g + 4*a - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1156*d**3 + 108*d - 4 wrt d?\nAnswer: -6936*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5*t = -2*t + 13, 2*i - 2*t = -10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2147\/76 + (-3)\/(-4). Calculate the highest common divisor of t and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2594 + -2596.1. Let c = -2.047970641 + -0.052032059. Let y = c - a. What is y rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303233569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + 11. Suppose 4*a + 5*z - 27 - 56 = 0, 5*a = z + b. What is the greatest common divisor of a and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 8. Determine l(-25).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 21 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = z, -8*r + 3*r - 2*z = -3852. Suppose 124 - r = 18*f. Let m = -21 - f. Solve -p + m = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0826642673 to 5 decimal places.\nAnswer: 0.08266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**4\/8 - n**2 + 5. Let v(c) = 21*c**2. What is v(b(r))?\nAnswer: 189*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.3 + -6. Which is the nearest to -0.2? (a) 0.2 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 13*o**2 - 28*o - 7. Let t be f(-11). Suppose -3*w + 34 = 4*c, -t = w - 4*w + c. Calculate the smallest common multiple of w and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52.64398 - -185.38592. Let g = 238 - h. Let r = g - -0.03. What is r rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/21 - 3)*-7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 4959.\nAnswer: 5950.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203310?\nAnswer: 2, 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 4*b + 2*b)*((4 - 4 - b)*(-2 - 2*b**3 + 2) + 2*b**3 - b**4 - 2*b**3).\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 385 * 3\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -1. Let s be c\/35 + (-134)\/(-7). Suppose 0 = -2*x + 3*x - s. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**4\/3 + d**2. Let l(r) be the third derivative of 19*r**4\/24 + 127641*r**2. Give l(h(k)).\nAnswer: 152*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23928, 47850, 71772?\n\"Answer: 23922*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -686.904624 + 686.9. What is d rounded to four decimal places?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5044818 divided by -4\nAnswer: -2522409\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*w + m + 22, 5*w - 3 = -3*m. Suppose -5*x + 0 + 10 = 0. Let v(b) = -2*b - b**w - 6*b**2 - 3 + 2*b**x + 8*b. What is v(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*v + 36 = 85*v + 90*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 2*o + 2*o + (-4*o + 8*o + 3*o)*(0*o**2 + 3*o**2 - o**2) + 11*o**3 - 6*o**3 + 3*o**3 + 4 - 4 + 2*o**3.\nAnswer: 26*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/21))\/t)\/(t**(4\/21)\/t)*(t*t**(-1\/46))\/t**(-11\/2))**(4\/15) assuming t is positive.\nAnswer: t**(13988\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*t + 5. Let f(b) = b**3 + 34*b**2 + 70*b + 195. Let p be f(-32). Sort 5, -5, p, t in descending order.\nAnswer: 5, p, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -1, -0.3, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332, -661, -990, -1319, -1648?\nAnswer: -1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*1 + -3 - (-4 + (sqrt(153) + -2)**2) - (-6*(sqrt(153) + sqrt(153) + 1 + sqrt(153)) + -4*(sqrt(153) - (1 + sqrt(153))))**2) + -3.\nAnswer: -49735 - 201*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n, 3*i - i - 5*n = 1130. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -462205, -462218, -462231, -462244, -462257, -462270?\nAnswer: -462283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7424447.\nAnswer: 337, 22031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4065 and 2?\nAnswer: 8130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35 + -2 + -2 + 4. Let z = -28 + u. Calculate the highest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 667*r + 667*r. Let k(w) = 67*w**2. Calculate k(q(j)).\nAnswer: 67*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.22 - 1.22. Let d = -4.16 - 0.84. Let p = 0.1 + -0.2. What is the closest to 1\/4 in d, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-3))\/(5\/(-5)))\/((-6)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.6? (a) 0.12 (b) 1 (c) -3 (d) -2\/3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -115, -2407, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(5616)*2)\/(-1*(sqrt(48)*1 + sqrt(48))).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 - 3*x**3 - 2*x**3 + 6*x**3 - x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - ((10\/2)\/5 - -1). Find the third derivative of 16*z + 22*z**d + 22*z**2 - 26*z**2 + 9*z**2 + 2*z**4 - 2*z**4 wrt z.\nAnswer: 1320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 0.9. What is the biggest value in w, -0.1, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-14672)\/(-49) - 14 - (-4)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 19*h + 412. Determine b(-14).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 76*a. Let s(i) = -i. What is s(j(z))?\nAnswer: -76*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*z + 821*z - 7921 = 71459 for z.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 44*h**2 + 137*h + 537. What is u(-41)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3353184 to the power of 1\/2, to the nearest integer?\nAnswer: 1831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205262\/145 - (-8)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4991.1 + 4995.2983. Let h = 0.01 + 4.19. Let n = a - h. What is n rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 411*s**4 + 16740*s**3 + 258000*s**2 + 984000*s - 5760000.\nAnswer: 3*(s - 3)*(s + 20)**3*(s + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551354451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 441698613 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3014, -12063, -27180, -48395, -75738, -109239, -148928?\n\"Answer: -5*z**3 - 3004*z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**5\/55 - 25*y**4\/44 + y**3\/33 + 25*y**2\/22 - 1830. Find p, given that o(p) = 0.\nAnswer: -25, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -16*y**2 + 5*y - 44. Let t(x) = 15*x**2 - 6*x + 44. Determine 4*h(f) + 3*t(f).\nAnswer: -19*f**2 + 2*f - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 8*j**2 - 4*j + 4. Suppose 2*m - 4*w = -2, -12*m + 124 - 20 = 5*w. Give c(m).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 12 (b) -7 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 47 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/11 in 9, -3\/2, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3\/16 (b) -421 (c) 11 (d) -0.14 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**3 - 4*k. Let a(d) = -d**3 + d + 1. What is -2*a(w) - o(w)?\nAnswer: -4*w**3 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v - 2. Let c be f(1). Find the second derivative of c*x - 2*x - 6*x**3 + 0*x**3 wrt x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(34)\/sqrt(2))**2 - sqrt(68)\/sqrt(64)) + -4.\nAnswer: -sqrt(17)\/4 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - z = -t - 951, -4*t - 4*z = -1268. Let v = t - 207. Suppose v = d + 4*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 15, 229*x - 224*x - 1984160 = s. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2, 1\/3, 4\/7, -588, 3\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/143 and -89\/234?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00572*5.\nAnswer: -0.0286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 75663254 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 217 + 467 + 467 + p - 67 in the form b + c*p and give b.\nAnswer: 1084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(2\/5)*b\/(b**8*b))\/(b**(-6)\/((b*b*b\/(b\/(b*(b\/b**(1\/3))\/b)))\/b)) assuming b is positive.\nAnswer: b**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171) + 1 + -1))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -29*k**6\/30 + 167*k**2\/2 + 140*k. Differentiate m(r) with respect to r.\nAnswer: -116*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 7*m + 28. Solve 7 - 23 = -m*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 594?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.04 - 5. Let c = -62.84005 - -62.8. Let n = v + c. What is n rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -34*n**3 - 240*n**2 - 12396*n - 86669. Calculate w(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5852 + -76074\/13. Which is the nearest to 78\/11? (a) 1 (b) w (c) 1\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 5, 1, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 - 14*x + 54. Give b(9).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 6*x**2 - 5*x + 94. What is t(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/r**(-2))**36*(r**(-2\/5)*(r**(-2\/7)\/r)\/r)\/(r\/r**4*r*r**(-6)\/r) assuming r is positive.\nAnswer: r**(2237\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11641*f + 11646*f + 30 = -3*m, 4*m + 17 = f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**2 + 12*l + 2. Let v(f) = -f**2 - f. Let a(k) = -k**3 + 4*k**2 - 4*k + 84. Let j be a(6). Determine j*v(r) - m(r).\nAnswer: 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 32 + 8 = -5*y, 2*y = p - 10. Does 15 divide (p\/(-2))\/(8\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -578 + 3?\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:18 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65\/6 - 19\/2. Solve 4\/3*q**3 + 2*q**4 - 2\/3 - 2*q + 2\/3*q**5 - i*q**2 = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*r + 5 = 0, -2*n = -4*r - r + 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 286.25 - 0.05. Round z to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**4))\/(q\/q**(-1\/2)))\/(q**2)**7)**(2\/43) assuming q is positive.\nAnswer: q**(-23\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50.7 - -50. Let d = -0.9 - h. Let r = 0.1976 + d. What is r rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2030, -4051, -6066, -8075, -10078, -12075, -14066?\n\"Answer: 3*s**2 - 2030*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 91dd0 + 1?\nAnswer: 91dd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 40. Let t = -964 - -940. What is the common denominator of (515\/(-927))\/(10\/t) and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 56 = 3*t, y + 4 = 2*t - 3. Let q = y + 15. Solve 4*g - u - q*u - 1 = 0, -5*u = -g - 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3110*a - 7 + 9 + 935*a - 2 as z + b*a and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 - -129?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 18 = 4*m, -4*x - x = 2*m - 6. Let i be (-4)\/(4\/4 + m). Solve -i*g + 3 = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 6*s**2 + 6*s - 7. Let u(k) = -4*k + 24. Let n be u(4). Let r be ((-20)\/n)\/(3\/(-6) + 0). What is x(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23388 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 143\/4 + (-6)\/(-24). Suppose 34*t - 12 = j*t. What is the units digit of -2 + (-1376)\/t + (-10)\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-438)\/9*6\/(-4). Suppose 3*z + 2*j = 43, 2*z + 3*z - s = -4*j. Let i = 3 + z. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2700301\/6192 - 699\/688. Let v = -785 - -1223. Let n = v + x. Calculate the common denominator of -24\/5 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s = 34*s + 1, 0 = 3*w + 4*s - 1244. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0.8 (c) -5 (d) -4 (e) -31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 3*t**2 + 3*t. Let d be w(2). What is g in -76*g**3 + 7 + 9 - 15*g**4 + 100*g**d + 43*g**4 - 4*g**5 - 64*g = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*d - 4 = 0. Let n(f) = -f**3 + 5*f**2 - 2*f - 3. Let x be n(d). Solve 0*c = x*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20076596 is divided by 2147?\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.31 + 0.38. Which is greater: -0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5889 is divided by 66?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b - 17 + 17 + (1 - 4 + 2)*(0*b - b + 2*b) + 0*b - 3*b + 12*b + (2 - 3 - 1 + (3 - 4 + 4)*(3 - 1 - 1) + 5 - 1 - 3)*(1 + 2*b - 1).\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3 - 20*s**2 - 54*s + 72 = 0.\nAnswer: -3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 143392 < 143395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 150 + -2599812?\nAnswer: -2599672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27985 * -0.4.\nAnswer: -11194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -31*s - 977. What is t(-33)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 538 or 11296\/21?\nAnswer: 538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.26, -5, 2, -2?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -127f + 42?\nAnswer: -123d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32151\/155404 or -1?\nAnswer: -32151\/155404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -12343423?\nAnswer: -12343421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s + 53. Let k = -822 + 828. Calculate the remainder when 10 is divided by t(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-15)*15\/(-2). Let i = r + 2. Sort i, -2, 4.\nAnswer: i, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468135 = -37*x + 244004. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831584973 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.2 + -5. Let g = 5 + -7. Let i = 13 - 13.1. What is the closest to w in -2\/11, i, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 0 (c) 1\/5 (d) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p - p + 85 - p. Let m be t(-22). Is 2\/(-16)*m - (-52372)\/32 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/d*(d**(-2\/7)*d)\/d*(d**0)**(-40))**(-46))**(-40) assuming d is positive.\nAnswer: d**(-80960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1 + 4 - (-10 - (-2420)\/200).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 24 - 3*h**2 + 20 + 4 + 135*h to the form j*h**2 + m + q*h and give q.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*f + 173 = -3*f, -x + 37 = f. What is the highest common factor of 55 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -765, -3068, -6905, -12276, -19181?\n\"Answer: -767*a**2 - 2*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwyhhffwfhhhwff. What is prob of picking 1 f, 1 w, and 1 h?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 11 = 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q**(-9)*(q\/q**(-3\/5))\/q**(-6\/13))**(-2\/21) assuming q is positive.\nAnswer: q**(-566\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 0*z**2 + 4*z**2)*(345 + 340*z - 345)*(0*z + 2*z + 0*z).\nAnswer: 1360*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r**3 - r**3 + 2*r**3)*(3*r - 2*r - 3*r) - 17*r**2 + 19*r**4 + 17*r**2 to the form y*r**4 + l*r + k + d*r**2 + z*r**3 and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -659b625 + 2?\nAnswer: -659b623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -101?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -27, 2\/15, -0.1, -9, 10.9?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947399 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 3*v + 17, 5*x + 748*v - 745*v = -37 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-7) + 6\/21 - -13. Suppose u = -h + 5*i - 5, 0 = -2*h - 3*i + 33. Find the first derivative of m - m - m + h*m + 21 wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.11 (c) -3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 0.5, -4, 2\/5, 22\/17?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -347 + 408. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/(sqrt(10)\/sqrt(5) + sqrt(2)) - sqrt(27) - (-2*sqrt(189))\/sqrt(7) - ((6*sqrt(363)*3)**2 + 0).\nAnswer: -117612 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 0.1 (c) 0.01 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (75\/10)\/(1\/(-86)). Let f be j\/(-10)*(-2)\/3. Let h = 83 + f. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 3*c - 4. Let o = 14 + -3. Let g = o + -15. Let j be p(g). Solve -3*z - 1 = -2*r + 6, j = 2*r + 2*z - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4 - 2 + 191669*c.\nAnswer: 191669*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 713880472 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-14)\/u**(-14\/3))**(-1\/18))**(-2\/59) assuming u is positive.\nAnswer: u**(-28\/1593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31\/4, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/20 - 289*a**4\/4 + 83521*a**3\/2 + 312*a**2 + 2*a. Find o, given that y(o) = 0.\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n - 3. Let h(f) = 10*f - 5. Let q = 2 + 4. Let s(t) = t - 13. Let x be s(q). Let g(o) = x*l(o) + 4*h(o). What is the derivative of g(y) wrt y?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by ((-4)\/12)\/(2\/(-102)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11583671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 2*m + 1. Let h be z(2). Sort 1, -18, h.\nAnswer: -18, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23997800 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3037, 12141, 27315, 48559, 75873?\nAnswer: 109257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -22. Let n be i\/(-6) + 996\/360. Do n and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 - 2*a**2 - 1. Suppose 3*i - 53 = -i - 5*l, 5*i - 5*l - 55 = 0. What is the remainder when c(3) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 13 + -12 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -147*1162\/40 - -1. Let q = 4273 + i. Let o = 390 - 1593\/4. What is the common denominator of q and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 337048.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*y + 11 + 97 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 6*x + (x + 0 + 0)*(2 - 1 - 3) - 16*x - 26 + 26)*(3 - 4 - 3)*(3 - 5 + 1).\nAnswer: -68*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1948*c**3 - 9*c**2. Let w(l) = 1946*l**3 - 12*l**2. What is -3*w(n) + 4*z(n)?\nAnswer: 1954*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 1\/2 (c) -4 (d) -0.21 (e) -3\/4 (f) -7.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9476?\nAnswer: 2, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/2))**(2\/21)\/((i*i**(-18)*i)\/(i**(-6\/13)*i*i)) assuming i is positive.\nAnswer: i**(1609\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -10. What is the least common multiple of 6 and 21 + (-2)\/w*-1?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21402, -31753, -42104?\nAnswer: -52455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28258 and 2?\nAnswer: 28258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 24. Suppose 35 = -5*y - 6*c + 2*c, 2*y = -2*c - 14. What are the prime factors of (-5 - y) + k + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18)*-10*111\/740*-147\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 700588?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/2 + 6 + -3821. Suppose -3*d + 5*j - 5782 = 0, j - 3*j = -d - 1929. Let p = d - a. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 4, -3, -2, 14, 1825 in descending order.\nAnswer: 1825, 14, 4, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -16*w**2. Let u(o) be the first derivative of 5*o**3\/3 - 73. Let f(g) = -5*d(g) - 14*u(g). Let a(i) = -12*i. Give a(f(l)).\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172*a*o**2*w - 35*a*o*w**2 - 2*a*w**2 - 4*o**2*w**2 - o**2*w + 2*o*w wrt o.\nAnswer: 344*a*w - 8*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4190208 and 2244.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 3*n - 5. Suppose 2 = 2*x - 8. Suppose -r - 2*d = -11, x*r - 14 = 3*d + 2. What are the prime factors of i(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 19 + 5 = 0. Let g be 1\/(2*4\/w). List the prime factors of (g + -109)\/(-4) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 957*s**3 - s**2 + 5*s - 4. Suppose 4*p - 88*u + 4 = -90*u, -p = 2*u + 7. Let q be k(p). What is the highest common divisor of q and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -404649003 - 4.\nAnswer: -404649007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, -4, -13, 67 in decreasing order.\nAnswer: 67, 12, 1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-24))\/(115\/184)*(-462)\/220?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*q**2 - 42*q + 42*q)*(6*q - 4*q + 0*q) + (-1 + 2 + 2)*(0*q**3 - 6*q**3 + 4*q**3).\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 33678238*v**3 - 2*v + 33678234*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2515521217 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 668548 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-90)\/10)*1. Let r(p) = -p**3 - p**2. Let w be r(-2). Suppose -7*m = -w*m - 6. Solve l = m*b - v, 6*v = 3*v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/6597 and 13\/12461.\nAnswer: 112149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-102)\/(-21) - (-7 - -12). Which is the smallest value? (a) -0.1 (b) -0.2 (c) x (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**5\/120 + d**4\/12 + d**3\/6 + d**2. Let c(f) be the first derivative of r(f). Calculate c(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(180) + -1 + 5 - (-1*sqrt(180)*1 - sqrt(180)) - (3 + sqrt(180) + 3 + 3)))**2 + 5.\nAnswer: -4320*sqrt(5) + 26825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 + -113. Sort 4, 20, 1, i in decreasing order.\nAnswer: 20, 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 1 - 4*o**3 + 2*o**3)*(2*o - 2 + 2).\nAnswer: -2*o**4 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.5 - -32. Let q = h - -7.5. Sort -3.1, -4, q in descending order.\nAnswer: q, -3.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 740.3158ns to milliseconds.\nAnswer: 0.0007403158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 10*w = 3*j + 5, 0 = -4*w + 8. What is the nearest to -1 in j, 0.4, -10, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5133 (base 8) to base 7.\nAnswer: -10505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -30, -29, -30, -33, -38, -45?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-136)\/20 + (-100)\/(-125) - (-360 - -2) is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11271521 (base 10) to base 3\nAnswer: -210012122121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 35. What are the prime factors of (-510)\/(-8) + b\/(-16)*-6?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - i + 5. Let m be g(3). Suppose 5*y + m = -4*u + 52, u = -2*y + 14. Let b = -33 - -131\/4. What is the third smallest value in 0.1, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*u + 24 = u, -f - 4*u + 15 = 0. Let d(c) = 5*c**2 - 2*c - 1. Let p be d(f). Suppose -2*m + p*m = 48. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168568 and 348?\nAnswer: 14665416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1170, 1621, 2230, 3003, 3946, 5065?\n\"Answer: l**3 + 73*l**2 + 225*l + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4656)\/4268 + (-102)\/88.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2270475 (base 8) to base 7\nAnswer: -5155056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -537.00000229 - -537. What is a rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 549 or 222927\/406?\nAnswer: 549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = p + 9. Let k(t) = 6*t**2 - 36*t - 13. What is the remainder when 112 is divided by k(p)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/32469 or 0?\nAnswer: -2\/32469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -5*o - 5*z + 195, -z + 215 = 4*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(4800)*-1 + 4).\nAnswer: -12 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-5 - 56 - (-10 + 0)) - -1) + -4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/279408514 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 2*r**2 + 7*r**2 + (-15 - 34*r**2 + 15)*(5 - 3 - 4).\nAnswer: 75*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.91 - -1.11. Which is the closest to t? (a) 2\/31 (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1299 by 520806.\nAnswer: 433\/173602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*d**2 + 3*d + 242?\nAnswer: -60*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2*u)\/(u*u**2*u))**24\/(u**(-11)*u**2)**18 assuming u is positive.\nAnswer: u**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4608377?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 110*v - 2047. Is 3 a factor of f(61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, b: 4, k: 1, n: 3, z: 1, h: 2}. What is prob of sequence bhnn?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(52) - (sqrt(52) + sqrt(260)\/(sqrt(25)\/sqrt(5)))) + sqrt(52))\/(sqrt(48)\/sqrt(1200)) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 7. Let u(r) be the third derivative of -r**4\/24 - r**3\/6 + 2*r**2. Let q be u(7). What is the units digit of z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2172227, 8688913, 19550055, 34755653, 54305707, 78200217?\n\"Answer: 2172228*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871752482.\nAnswer: 2, 281, 739, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**2 - 15136650*d = 0.\nAnswer: 0, 3027330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 2*x**2 + x**2)*(1 - 1 - 2).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/38063?\nAnswer: -1\/38063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 10:56 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159388946*p**3 + 312*p**2 + 49489.\nAnswer: -956333676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6. Let m = s - -4. Let u be -1 - 1*1*-1. Solve u = -2*p - m*n - 31, -n = 4*p - 2*n + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5766419*m**3 - 11532391*m**3 + 5766386*m**3.\nAnswer: 414*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) - (-1876)\/49. Suppose h = j + 11. Calculate the common denominator of h and 2\/(-3) - (-71)\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*v**2 + 446*v + 443*v - 889*v.\nAnswer: -267*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*a**2 + 256 - 77*a**2 - 11*a - 202 in the form x + y*a + j*a**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**7\/70 + n**6\/10 + n**5\/4 + n**4\/4 + 5*n**2\/2 + 4*n. Let c(k) be the first derivative of d(k). Let c(h) = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -12*i - 19*i - 8*i + 17*i. Let g(o) = 35*o + 1. Give g(r(t)).\nAnswer: -770*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m**3 - 7*m**2 - 8*m. Let o(t) = -t**3 - t**2 - t. Let g(u) = -10*u**2 - 58*u - 8. Let j be g(-6). Let c be (j\/3 + 6)*21. What is c*o(q) + 2*h(q)?\nAnswer: -2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 30*h - 101. Let u be s(4). Let t be -5*((-78)\/(-45))\/u. Solve 1\/3*q - t*q**2 + 1\/3*q**3 + 0 = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10 = 3*c, 0*p + p = c + 10. Let k(n) = -n**3 - 5*n**2 - 2*n - 1. Let r be k(-5). Let v = c + r. Solve 3*q = -d + 2, 2*d - 5 = -q + v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 740, 1433, 1996, 2429, 2732?\nAnswer: 2905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5867, -5759, -5579, -5327, -5003?\nAnswer: -4607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5906 smaller than 5906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 6:56 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**7\/280 - z**4\/8 + z**3\/2 + 2*z. Let l(u) be the second derivative of t(u). What is the first derivative of l(g) wrt g?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8909*z - 5*z**2 - 8909*z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 325941?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 791, 795, 791, 773, 735, 671, 575?\n\"Answer: -x**3 + 2*x**2 + 5*x + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*(-234177)\/5)\/((-4698)\/(-7830)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c + 3*c - c)*(2 + 6 + 1)*(2*c + 5*c - 5*c) to the form s*c**2 + y*c + x and give s.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - (5 + -1 + -138)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7863 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 48*x - 25*x + 388 = 0, -5*z + 4*z + 4*z = 5*z - 11*x + 101 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659967 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -10 + 17 + -8 + 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*j**4 + 1 + 10564*j**3 + 85*j**4 - 3*j**2 + 10577*j**3 - 21138*j**3 in the form o*j**3 + c*j**4 + v*j + t*j**2 + n and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y - 9*y**2 - 26*y + 20*y - 37*y + 23*y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + l**3 + 0*l**3)*(-2 - 7 + 2)*(-2 + 6 + 1)*(l + 0 + 0).\nAnswer: 105*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1313 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8425, -0.4, 5, 2\/11, 6\/5.\nAnswer: -4, -0.4, 2\/11, 6\/5, 5, 8425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -1\/7, -11.005, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-6)*(-90)\/75. Solve 5*t = 5*x + 5, -x - v*t - 30 = -41 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 707 + -1537. Let r = 833 + v. Let w = -4.87 - 0.13. What is the nearest to w in r, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679347.\nAnswer: 3, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 203839 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -92*z**3 - 2*z**2 + 2. Calculate o(1).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*x + 5*a - 2 = -45*x, -a = -2*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 209 - 5*6\/(-5). Suppose b + 3*b = 344. Calculate the greatest common factor of b and n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 + 0 + (2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = 10*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 3. Let m(g) = 6*g + 33. Let t(l) = -m(l) + 3*y(l). Let b be t(-9). Solve 6 = -0*u - b*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-4))\/(31\/(-62))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/3 + 4334*r**3\/3 + 4*r**2 - 51992*r\/3 - 69344\/3 = 0. Calculate r.\nAnswer: -2, 4, 4334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 3?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-4 - (-4 - -4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 837 + 1274 + w + w + 2*w**2 to the form p + y*w**2 + b*w and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 + 0)*(0*a - 2*a + 4*a)*(-21*a**2 + 12*a**2 + 10*a**2) to b + n*a + x*a**2 + o*a**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01785242878 to six decimal places.\nAnswer: -0.017852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*m + 226 + 260 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 41*s + 16*s. What is the third smallest value in -1, 1.6, 2, s, 4.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -7*p + 4. Let q = 22 + -16. Let r = q - p. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005842862 rounded to seven decimal places?\nAnswer: -0.0000584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52070349 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13723142687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**4 + z**3 + 6*z**2 + 4*z + 4. Let d(y) = -2*y**4 - y**3 - 12*y**2 - 8*y - 9. Let v be (-80)\/6 - 2\/3. Let t(g) = v*b(g) - 6*d(g). Factor t(p).\nAnswer: -2*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -2.63 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3\/3 - 27668*s**2\/3 + 110720*s\/3 - 36912 = 0. Calculate s.\nAnswer: -6921, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -430*s**4 - 10*s**3 + 646 with respect to s.\nAnswer: -1720*s**3 - 30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**4\/4 + 3*j**3 - 12*j**2 + 13*j. Factor d(q).\nAnswer: -3*(q - 4)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b + 224 + 231. Let w = 193 + b. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56008.2nm in meters?\nAnswer: 0.0000560082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 700?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -137, -271, -407, -545, -685?\n\"Answer: -b**2 - 131*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -1\/4, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/5)\/(f\/(f\/(f*f\/((f*f\/f**19*f*f)\/f)*f))) assuming f is positive.\nAnswer: f**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3 = 35 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 4*l - 96. Does 13 divide (-2)\/((l\/(-39))\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/989 or -1?\nAnswer: 4\/989","meta":{"dup_signals":{},"source":"comparison__pair_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: Sort -2, 1, -4, -123 in descending order.\nAnswer: 1, -2, -4, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.77 (b) 0.5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010000100100011 (base 2) to base 14.\nAnswer: -708a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 6*p + 10. Let s be t(-2). Let o(f) = 6*f**2 - 2. Let j(i) = 7*i**2 - 3. Give s*o(a) + 4*j(a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 r when four letters picked without replacement from {r: 3, b: 3, v: 5, s: 2}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/15 + 7516*g**2\/15 + 7514*g\/15.\nAnswer: 2*g*(g + 1)*(g + 3757)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/3)*x**(-2\/11)\/x assuming x is positive.\nAnswer: x**(-50\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 10, -23*m + 25*m + g - 374088 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**2 + 5475*n = 0. Calculate n.\nAnswer: 0, 1095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -695 + 691. Sort 2\/9, q, 0.\nAnswer: q, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 31*c**3\/3 + 3*c - 61. Let y(j) = 17*j**2. What is s(y(h))?\nAnswer: 1054*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37\/4 - 9. Let m = -1.04 - -1.54. Sort c, m, 5 in ascending order.\nAnswer: c, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/25)\/((4 + 354\/(-90))*-6). Sort s, 4, 0, 255, -1 in ascending order.\nAnswer: s, -1, 0, 4, 255","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/15 - (-115)\/25. Suppose 0 = -5*g + b*x - 10*x - 52990, -x - 31798 = 3*g. What is g rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 27*c + 2. Let p be o(-14). Is 97 a factor of ((-3032)\/p + 6)*(-18)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2 - 1152*s - 17387. Give g(-272).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 - 93*r + 93. Calculate t(30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -3892566?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5214.72 - -5111. What is v rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4998*a**3*i**3 - 2*a**3*i**2 - a**2*i - 290*i**2 - i wrt i?\nAnswer: 29988*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13781 is divided by 201?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-26))\/(-1 + (-36)\/(-39)). Let n(c) = -3*c + 4. Let z(t) = -3*t + 4. What is w*n(v) - 3*z(v)?\nAnswer: 3*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 43*d - 3920 = 0. Let q = d + -278. Are -24 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4005 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 7, k: 3}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/192*-4)\/(4\/(16\/6))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10474717.33941 plus 5?\nAnswer: -10474712.33941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*r**2)*(-2 - 1 + 1) - 28*r - r**2 + 28*r + 2 + 2*r + 1 - r**2 - 2.\nAnswer: -6*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-9) + 4\/((-16)\/(-14)). Let w = 0.0525 - -4.9475. What is the closest to 5 in w, t, -0.7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87249930 divided by -66603?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1 + (22 + 2 - 11)*(-5 + 6 + 2))*(-2*a + 2*a - 2*a**2).\nAnswer: -80*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6) + -2 - -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533776080?\nAnswer: 2, 3, 5, 619, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 69 = -7*r, -2 + 53 = 5*r - 4*t for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -468 - -473. Let j be 7 + n + -12 + -5. Let b = 4 + -5. Sort b, j, 0 in decreasing order.\nAnswer: 0, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2555333 (base 6) to base 7\nAnswer: -1121550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82998 and 9540?\nAnswer: 829980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/345)\/(6\/4). Let x = m - -424\/1035. Let u = -100\/3 - -33. Sort u, x, -2 in descending order.\nAnswer: x, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 823*h**2. Let j(f) = -100308*f. Give j(v(q)).\nAnswer: -82553484*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1992 and 1\/1152.\nAnswer: 95616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 1349?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82093.3g to milligrams.\nAnswer: 82093300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-8))\/((-1)\/23)*-14)\/(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -180 + 184. Suppose z - 3 = 0, -r + n*z - 7*z = -10. Solve -9*b = r - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -11*r + 14*r. Suppose 0 = 10*w - r - 25. Calculate the least common multiple of 14 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.11, 7\/61, -1\/4?\nAnswer: 7\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 206, 254 in ascending order.\nAnswer: 2, 5, 206, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3984288469?\nAnswer: 7, 71, 8016677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.1, 86.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1084 - -1255. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**4\/12 + 3*j**3\/2 - 2*j**2 - 4*j. Let p be a(8). Let i be (-3)\/6*p + 2. Solve i = -b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 13*y + 2. Let a be d(13). Suppose 3 = 2*j - c, -4*j - 4*c + 2 = -a*c. Calculate the smallest common multiple of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -11 - (158 + -169)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11096980, 11096984, 11096990, 11096998, 11097008, 11097020?\n\"Answer: n**2 + n + 11096978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 9) to base 7.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s + 53*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1. Let h(b) = -14*b + 8. Give h(i) - 6*j(i).\nAnswer: -14*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/27 in 0.6, -4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3601, -4, -3, 6, 3 in ascending order.\nAnswer: -4, -3, 3, 6, 3601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 230*a**2 - 3073*a + 10584.\nAnswer: -(a - 216)*(a - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -8599*v**2 + 6595*v**2 + 11897*v**2 in the form j + l*v + u*v**2 and give u.\nAnswer: 9893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 33 = -b + 31, 4*b + 1 = 3*a. Is ((-188)\/(-12))\/(b\/(-57)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.12 and -0.019.\nAnswer: -0.28728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 55. What is the closest to -1\/2 in v, 3\/14, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5854*z**3 + 19*z**2 - 5855*z**3 + 11 + 0 - 18*z. Calculate w(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, -5, 1, 7 in descending order.\nAnswer: 7, 1, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -10 - (-16 + 11). What is the nearest to 2\/3 in v, 0.3, 1, 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c - 347. Let y be r(6). What is y rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6906*f**4 - 30339 with respect to f.\nAnswer: 27624*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 63. Suppose -z + 19 = 5*y, -s - 1 = -5*y + 5*z. Suppose -55 = -5*t + 6*f - 11*f, -3*t + 2*f = -18. Solve 4*i + 2 = j - 4, 0 = -y*i - t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s - 26. Let t(i) = i - 9. Let o = 1723 - 1715. Calculate o*t(j) - 3*y(j).\nAnswer: -j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-30\/11)*i*i**14\/i assuming i is positive.\nAnswer: i**(124\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005053991 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 957 and 47677102.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-354)\/(-42) + -8. What is the second smallest value in 1\/4, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*w = -12 - 93, 67 = 2*g + 3*w. Round g to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/231?\nAnswer: 8\/231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 12\/11, 5, 11 in decreasing order.\nAnswer: 11, 5, 12\/11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b**3 - 9*b - 9. Let u(r) = -r**3 - r - 1. Suppose -2*m + 1 = -1. Suppose 70*o - 18823 = -29*o - 19714. What is m*c(d) + o*u(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6560 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 11 = -g, 0 = 5*g - 4*y + 5 - 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 3*k**2 - 4*k - 5. Let c(d) = -3*d**3 - 5*d**2 - 7*d - 9. Let f be 10*8\/20 + 1 + 0. Calculate f*h(g) - 3*c(g).\nAnswer: -g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - 13. Suppose 5*t + 62 = 2*n, 1 = t + 4*n + 9. Let a = t - o. What is the highest common factor of 66 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u + 5*h + 31 = 0, 3*u - 3*h = 24. What is the remainder when u + -5 + (-100)\/(-1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 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: Let l be 4\/(-14) - 16\/(-7). Suppose -58*j + 2*h = -57*j - 2, -75 = -5*j - 3*h. Solve 2*f = 3*q + 5*f - j, l*f = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let x be h(1). Suppose 5*a + c - 11 = 0, -5*c - x = a - 8. Solve 0*m - 4*t = a*m - 2, -2*t - 2 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*k - 274*k - 272*k + 810*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 684887*n**2 + 10273306*n + 9. Give d(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 12:47 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36851738153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211688.\nAnswer: 2, 47, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - 11. Let g be (-27)\/6*4\/1. Is o at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 1904*h - 226576.\nAnswer: -4*(h + 238)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67248 and 67248?\nAnswer: 67248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkcqkccckccccckck. What is prob of sequence cq?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 - 51 = -7*z. Let m = z - -35. Suppose -2*n + 184 = 3*n + 4*r, 0 = 5*n - m*r - 176. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -838?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 13, 7, 1, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = 8*s + 98. Let q(k) = -3*k + 2. Let r be q(-8). Calculate the highest common divisor of r and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/105)\/((-3)\/21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1653*y - 1651*y + 3*q - 30, -y + 30 = -q. Suppose -h + 5*z + 6 + 11 = 0, -4*z = -5*h + 64. What is the highest common divisor of h and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v + 49 = -3*w, 0 = 3*v + 4*w - 68. Suppose g = -3*g + v. Suppose 6*h = g*h. Solve h = f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeveeeekee. What is prob of sequence kv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 203689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*i = -8, 2*i = 12 - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2\/(-8)*(-3564)\/594?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 - 2 + 2)*(30 + 28 - 57) to i*c**2 + t + b*c and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-102)*3\/18*-2\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(350)*-1 + 5*sqrt(42)\/sqrt(3))\/(-5*sqrt(2)*-1 - (sqrt(2) + sqrt(162)*-1)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 16 = -7*x. Suppose -2*m + 3*c = m + 168, -x*m - 230 = 2*c. Let j = 81 + m. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 643, 2575, 5757, 10153, 15727, 22443, 30265?\nAnswer: 39157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-72)*-4*(-3)\/(-312)*48?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.2? (a) 2 (b) -0.056 (c) 15.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*f - 25 = 0, 5*f + 17 = -5*g + 6*f. Let b be ((-12)\/18)\/(2\/3). Put 3, b, g in increasing order.\nAnswer: g, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*l - 18*l - 10. Suppose 2*v - 55*n + 58*n = 23, l*v = -3*n + 44. Solve 0 = -5*d - 4*r - v, 4*d + 3*r - r + 8 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 20. Let y be q(8). Let d(r) = 2*r - 8. Let f be d(y). Let f*b**2 + 2\/11*b**3 + 4\/11 - 6\/11*b = 0. What is b?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6*z - 12. Let g = 683\/860 - -1\/172. Which is the second smallest value? (a) z (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (5 - -6) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Let y(p) = 0*p - 3*p + 4*p + 5. Let t be y(-3). Is x less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.75 - 0.23. Let n = -0.12 + u. Let t be 2 + (4\/(-20) - 2). Sort n, t, 5\/6.\nAnswer: t, n, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-140))\/((-3)\/7*(-9520)\/3400).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 5:03 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1)\/(20\/((-160)\/(-216)))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (-2*sqrt(7) + sqrt(7))*3)**2 + 1*sqrt(343).\nAnswer: 7*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53474876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a day in minutes?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u - 21*u - 13328 = -s, -3341 = -u + 2*s. Suppose -6*f + 2427 = -u. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((36360\/16)\/9)\/(1\/6)?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*s**2 + 10*s**2 + 19*s**2 + 16*s**2 - 2 + 5*s**2 + 28*s**2.\nAnswer: -45*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 1, v: 1, h: 2}. What is prob of sequence vh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 8:18 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 52 = 3*x, -x - q = -11 - 3. Let f = x - 17. Suppose 0 = -f*r + 40 - 2. What is the remainder when 47 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2676 = -0*m. Let k = 347 + -1064\/3. Calculate the common denominator of m\/(-220) - (-12)\/66 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.17 - 11.242. Let o = -0.072 - v. Put 0.3, 1\/8, 1\/6, o in decreasing order.\nAnswer: o, 0.3, 1\/6, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 680 - 684. Let i(u) = -u**3 - 4*u**2 - 3*u - 4. What is i(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 4*h**2 + h**2)*(12 - 12 + 4*h)*(-6 - 4*h + 6).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7\/5, -5\/4, 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6318 = -5*f, 4036 - 240 = 3*f - 4*g. Let o be (-1106)\/(-5) + (-1)\/5 - 2. Suppose f + o = r - p, -3*r - 2*p = -4439. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -1.6 (c) 0.04 (d) 2\/3 (e) 1238 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**5\/20 - 2*l**4\/3 - 2*l**3 + 9*l**2\/2 - 15*l. Let c be b(-5). Let d(f) = -f**2 - 7*f + 2. Calculate d(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -525, -1014, -1505, -1998, -2493?\nAnswer: -2990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 4, q: 2, d: 1}. Give prob of picking 2 q and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*d + 69*d + 32*d in the form a + l*d and give l.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**6\/3 + 42*x**5 - 3*x**4 - 1244*x**3\/3 + 837*x**2 - 630*x + 8287. Factor z(y).\nAnswer: 2*(y - 1)**3*(y + 3)*(y + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 294 = 170. Let n = q - -166. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4)**(-5\/7))**(-12)*(x**5\/x**(-3))\/((x*(x*(x**(1\/4)*x)\/x*x)\/x*x)\/x)**49 assuming x is positive.\nAnswer: x**(-1903\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26847801, 53695591, 80543375, 107391153, 134238925, 161086691?\n\"Answer: -3*i**2 + 26847799*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 401, 436, 457, 458, 433, 376, 281?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4. Suppose 0 = -4*q - 2*z + 14 + 68, j = -q + 5*z + 15. Let a be ((-88)\/3)\/(2\/(-15)). What is the greatest common divisor of a and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*a + 125*a + 90. Suppose 101 = 4*n - 5*o, n + o + 4 = 27. Calculate the remainder when a is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*y - 4*m, -3 = -2*y + 3*y - 5*m. Suppose 425 = -y*w + 19*w. Solve -5*v + 0*v = -25, -d - 4*v + w = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 2*m - 55. What is n(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1 + b + 2 + 2*b**2 - 3*b + b**3. What is the tens digit of s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k + 53. Let f be r(-12). Are 1 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-72)\/14)\/((-18)\/63). What is the highest common factor of 10 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**1\/d))\/d)**(2\/3)\/(d*d*d**(-2\/5)\/d*d)**(2\/5))\/((d**1)**(-48)*(d\/(d*(d*d\/d**4)\/d))\/(d*d**(-1\/3))) assuming d is positive.\nAnswer: d**(1109\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1423399810?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9418 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21735 (base 8) to base 5.\nAnswer: -243211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 642467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n + 3*n)*(67 - 214 + 80 - 30*n).\nAnswer: -120*n**2 - 268*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2124, -1 in decreasing order.\nAnswer: 3, -1, -2124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 20 = 0, -166*z - 5*v = -171*z + 294420. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.093 - -0.093. Let a be (-9)\/(-15) - (-2)\/(-4). Is s at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14)**28 assuming z is positive.\nAnswer: z**392","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:35 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + t - 1. Let g(b) = 4*b**2 - 8*b + 3. Let h(j) = -5*a(j) - g(j). Let z(p) = 3*p**2 + 8*p + 5. Calculate 8*h(i) - 3*z(i).\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -31*128.65\nAnswer: -3988.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*4\/(-12) + 1. Let j(y) = y**2 - y - 2. Let m be j(w). Suppose p + 2 + 2 = m. Is -4 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**2 + 99840*i + 498401280 = 0.\nAnswer: -9984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 39 = 3*r + 90, 9 = -3*r. Let z be (1 - 2)\/(1\/(-16)). Calculate the highest common divisor of a and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a milligram in micrograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2*p**2 + 3*p**2)*(0*p - p + 4*p + (-2*p + 4 - 4)*(-2 - 2 + 3) - 3 + 3 + p).\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from mjnocmji?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632338512 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 9*a**3 + 2*a**3 - 22*a**3 + 9*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from potpfbffbbbb?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*r = -0*k + 4, 3*k + 5*r - 7 = 0. Let n be (-50)\/175 - (-1 + (-60)\/14). Put 0, 2, n, k in decreasing order.\nAnswer: n, 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/6 - 863*t**3\/2 + 3880*t**2\/3 - 862*t.\nAnswer: t*(t - 2586)*(t - 2)*(t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 1160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 = -5*i - 11, 4*i + 2*f + 2 = 0. What is the second biggest value in 0.5, 4, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + d + 1. Let a be q(6). Suppose i - 26 = 74. Let j = i + a. What is the greatest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(68) - 1*sqrt(68)*1 - (3*-1*sqrt(68) + sqrt(68))))\/(1*1*-1*sqrt(4)*-5).\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2804113.\nAnswer: 13, 41, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (sqrt(1900) + (sqrt(1900) + 1)*5)**2.\nAnswer: 600*sqrt(19) + 68432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -18*h + 12. Calculate the remainder when 80 is divided by s(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4))**(33\/7)*((p*p\/(p**(-1\/6)\/p)*p)\/p*p)**(5\/9) assuming p is positive.\nAnswer: p**(-6253\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 929*o**2 - 385*o**2 - 334*o**2.\nAnswer: 210*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86153516 is divided by 240.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p**2 - 21*p - 3. Let o(z) = -3*z**2 - 7*z - 1. Let t(h) = -2*l(h) + 7*o(h). Let j be t(-7). Sort 2, j, 0 in descending order.\nAnswer: 2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181\/118 + -2\/59. Let y = -34 - -32. Sort -3, x, y.\nAnswer: -3, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 461 + 28*l**3 - l - 3*l**2 - 453. Let i be g(2). What is the highest common divisor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*n + 4*m, -4*n + 34 = 5*m - 18. Suppose w - n = 7. What is the highest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-27)*c*((c*c**(-7\/2))\/c*c*c)\/c)\/(c**34*c**(-19)))**15 assuming c is positive.\nAnswer: c**(-1305\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2520 and 840?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -10 - 2007\/(-225)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1330, -5372, -12108, -21538, -33662, -48480, -65992?\n\"Answer: -1347*m**2 - m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 3*p**2 - 6*p**2 + 79.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*0*2\/((-10)\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 912017400 to the nearest one million.\nAnswer: 912000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15669 is divided by 1128.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68161 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 44 (b) 0 (c) 499 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/5 - 1656\/30. Let y = m + 65. What is the smallest common multiple of y and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/68621 or 0?\nAnswer: 2\/68621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4254096 < 4254097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 - 5*g**2 + 7*g**2 + 2*g**2 - g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28738 - 3?\nAnswer: 28735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -411\/28 - -101\/7. Suppose 0*f + 2*f = 0. Let x = 0.2 + -0.7. Sort u, x, f in ascending order.\nAnswer: x, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2803515193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 1983d2?\nAnswer: 1983d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 5*x**2 - 2*x + 1. Let d be f(6). Let c be 16\/(-72) + d\/(-9). Let r = 69 + -66. Solve 10 = c*a + p, 0 = 3*a + 3*p + r - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {f: 2, e: 1, g: 2, v: 2, p: 2, d: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 1.80427?\nAnswer: 0.0180427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 541348808 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -0.1 (c) 1\/4 (d) 0 (e) 0.2 (f) -21\/199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055767 rounded to 4 decimal places?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1776876775\/777 - -2286843. Let l = u + -2\/111. What is a in l - 2\/7*a**2 - 2\/7*a + 2\/7*a**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 + 70. Let f be (-18)\/w*12\/(-54). Which is the biggest value? (a) -0.2 (b) -1\/4 (c) f (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 - 3. Let c = -46 - -49. Let l(p) = 4*p**2 - 2. Suppose -3*u - 2*u + 5 = 5*n, -3 = -4*u - 3*n. Let r = -2 - u. Give c*l(f) + r*j(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqeq when four letters picked without replacement from rlrrrrrbulqllqeq.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**5*n**3 - a**3*n**3 + 85*a**3 + 297*a**2*n + 3*a*n**3 wrt a.\nAnswer: -180*a**2*n**3 - 6*n**3 + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let d(q) = 622*q**2. Calculate g(d(v)).\nAnswer: -622*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or 7675\/51?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 3 - (-2 + -8) - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.27 + 0.63. Which is bigger: 2\/13 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 17 + 33 + 21*p)*(-1 + 4 - 1)*(-3 + 5 + 2)*(p - 1 + 1).\nAnswer: 168*p**2 - 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 - 10*a - 12. What is the remainder when o(-3) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + n)*(2 - 771 + 277)*(-2*n**2 + 3*n**2 - 2*n**2) as u + m*n**3 + y*n + o*n**2 and give m.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7211, 1\/2, 429.\nAnswer: -7211, 1\/2, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(56)\/(sqrt(8) - sqrt(8)*2) - sqrt(7)) + 1 + sqrt(175) + 2*(-2*sqrt(70)*1)\/sqrt(10) + -5))**2.\nAnswer: 288*sqrt(7) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1150 and 3680?\nAnswer: 18400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -p + 129, -3*p + 55 + 284 = -4*l. Calculate the greatest common factor of p and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 8*k + 115. Let m be d(-15). Suppose -m*l - 17 = -77. Solve 11 = l*o - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 3*l + 15, -19*l = -2*y - 15*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*b**3 + 3\/5 - 4\/5*b - 1\/5*b**4 - 2\/5*b**2.\nAnswer: -(b - 3)*(b - 1)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2377*v - 2381*v + 4500. Calculate the greatest common divisor of v and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 4*h - 16 = 0, 3*q = 7*q - 5*h + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i**2 + 3*i + 3. Let u(c) = -7*c**2 + 4*c + 4. Suppose 2*w + 6 = 2. Let g be w\/(0 - (-2)\/4). Determine g*u(p) + 5*y(p).\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2 + 18 - 8 - 4*m. Let n be g(3). Which is the closest to 0.1? (a) 6 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 32. Let g be j(-15). Let f(p) = -p**3 + 5*p**2 + 4*p + 8. Let s = 21 - 15. Let c be f(s). Is c greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 1742*p - 3424*p + 1883*p.\nAnswer: 201*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/80*-4*4.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84351 is divided by 437?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10197834 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040 (base 8) in base 4?\nAnswer: 120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cipttpttttptppwiippc. What is prob of sequence tc?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -3*y. Let l(a) = -2 + 8*a + 3 + 0. Determine l(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 497*z**2 - 10*z + 5. Is q(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - v - 15 - 22, 4*v - 62 = -2*a. Let m = a - 25. Let u be 11*(2 - -13 - 5). What is the highest common divisor of u and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36.718 from -0.03.\nAnswer: -36.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 70406861?\nAnswer: 70406861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/4*(-5)\/15?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 39 = -4. Let l(i) = 4*i**2 - 16*i - 7. Let h(q) = 3*q**2 - 11*q - 5. Let a(g) = y*h(g) + 5*l(g). Find the second derivative of a(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m + 3*m - 3*m - m - 5. Let f(s) = -2*s + 3. Give -8*f(t) - 5*x(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 15 - 2 = 2*y, -2*y = -5*d - 23. Let r be y + 5 - (-1984)\/(-260). Let c = r + 42\/13. What is the biggest value in -2\/25, -0.1, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**3\/6 - d**2\/2 - 14*d. Let s be l(1). Solve 0 = -4*u + h - 0 - 4, s = -u + 3*h - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1178*f - 1177*f + 2352*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*t + 36*t**3 - 13*t + 6*t - 78 wrt t?\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62081891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - 1.2. Let u = 0.07 - 3.07. What is the nearest to -4 in 1, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (486\/(-621))\/((-255)\/(-3910))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 - 4*o**3 - o - o**3 + 3*o**3 in the form v*o**3 + g + j*o + u*o**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -66*r + 68*r - 3 + 3. Let b(x) = 10*x + 4. What is q(b(o))?\nAnswer: 20*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwvppos. What is prob of picking 1 v, 1 s, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*j + 27 = 4*x, 4*x - 25 = -j. Find the common denominator of x*4\/((-32)\/(-27)) and (-348)\/16 + 4\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 5:54 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395315?\nAnswer: 5, 79063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1344 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 35 = 2*q, 5*q - 4*k - 53 = -0*k. Suppose -49 = 12*h - q*h. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 10. Let v(s) = -s**3 - s. Let d(c) = -4*c**3 + c**2 - 5*c. Suppose 4*n = -3*f - 5, 2 = 4*f + 5*n + 7. Give f*v(t) + h*d(t).\nAnswer: -t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2886*p - 18 = 2852*p + 152. Sort -5, p, 31, -11, -2.\nAnswer: -11, -5, -2, p, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l + 107 = -48. Sort 19, l, 5, -4 in descending order.\nAnswer: 19, 5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100002130 (base 4) to base 15\nAnswer: 146e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 4*v**2 + 5*v + 6. Let p be a(5). Suppose 2 = -2*d + p. Suppose d = 2*m - m. Solve t + 2*n - 1 - 4 = 0, -2*n = 2*t - m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7 = -9. Suppose -6 = -4*l + j + 4, 0 = y*l + j - 6. Solve u - 2*i = 0, -l*i + 7*i = 4*u - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -13, -5 in increasing order.\nAnswer: -14, -13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 288, 286, 286, 288, 292?\n\"Answer: r**2 - 5*r + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1275)\/18 + ((-12)\/3)\/(-8). Let r = 71 + f. What is the closest to r in -1\/6, -2, -3\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 14 + -9 + 4)*1. Solve 2*d = -w*c + d + 14, -19 = 2*c - 5*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76974402 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + -30. Let u be s\/20*6\/(-5). Let y = 6 + 0. What is the highest common factor of y and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131 + 133.03. Let j = q - 2.0109. Round j to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-8)*36\/162. Let k(u) be the second derivative of 1\/3*u**3 - 2*u**2 + g*u**4 + 0 - 3*u. Factor k(d).\nAnswer: 2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1264)\/(-790)*(-25)\/(-940)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -6. Let w be 8\/24 + (-14)\/(-3). What is the second derivative of 0*k + k + w*k**5 - 6*k**m wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*x - 1\/7*x**2.\nAnswer: -x*(x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -1451, -3481, -6323?\nAnswer: -9977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7749 (base 13) in base 12?\nAnswer: 9753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 197819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*(-2 + (sqrt(13) + sqrt(13) + sqrt(13)*-2)**2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1091360 and 109136?\nAnswer: 1091360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 + 237*i**2\/5 + 16353*i\/5 + 3223.\nAnswer: -(i - 293)*(i + 1)*(i + 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.8148158 rounded to 3 dps?\nAnswer: -6.815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 + 5)*(3*d - 3*d + d)*(3*d**2 + 0*d**2 + 0*d**2).\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 99 = -34. Let z = -144 + 142. Let b be 728\/12*(21\/6 + z). Calculate the greatest common divisor of b and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1734 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3192775 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22752111 and 20001?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 717 divided by -1?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -31*i - 24. Let z(n) = 1085*n + 837. Let j(a) = -279*b(a) - 8*z(a). Let p(d) = 46*d. Give j(p(q)).\nAnswer: -1426*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 = 4*c. Suppose 6 + 1374 = c*x. Suppose 34 - 119 = -y - 5*s, 4*y = 2*s + x. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 119498 + 343221 + 503090.\nAnswer: m + 726813","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -37. Which is the biggest value? (a) t (b) -3 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 14*o - 29. Calculate the remainder when g(12) is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*r - 330 = -484*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052493?\nAnswer: 2052493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 11. Let w be (-9)\/(-6)*80\/24. Solve 0*z + z = f*m - w, -2*m + 3*z + 5 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31.4 and -8?\nAnswer: 251.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10*(-1)\/6.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.1, -1\/39, -0.2?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25144942 is divided by 29687.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 53. Suppose 0 = 78*d - 81*d + 60. Let w be g(d). Is 7 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 10 - 19 - -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x + 4*x + 0*x)*(0 - 4 + 2) + 0*x - x - x)*(-3*x**2 + x**2 + 3*x**2) - 41*x**3 - 10*x**3 + 13*x**3 + (-2 - 1 + 2)*(3*x**3 - x**3 - 3*x**3).\nAnswer: -45*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 190*n**2 + 8980*n + 17160.\nAnswer: -5*(n - 66)*(n + 2)*(n + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**4\/4 + j**2\/2 + 4*j - 3. Let h be n(-3). Let w = h - -36. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -26 - 94. Let q be -3*((-4)\/(-6))\/(-1). Let t(a) = -a + 11. Let y be t(7). Solve 0 = 2*r + m - 2*m + q, -r + y*m - w = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/20648 and 53\/22462443.\nAnswer: 179699544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(12\/4) - -2. Let k(o) = 13*o**2 - 2*o + 1. Let h be k(q). List the prime factors of ((-30)\/(-4))\/(h\/24).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -800, -1639, -2478, -3317, -4156, -4995?\nAnswer: -5834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -82, 13 in descending order.\nAnswer: 13, 1, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:30 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-216))\/(12\/(-144)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 662 = -7*f + 3749. Suppose 0 = -439*q + f*q - 216. Suppose 5*y + 124 = 5*a + y, 2*y = -4*a + 94. Calculate the highest common factor of a and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 14 + 0 = -2*z, 5*z - 4*k - 23 = 0. Suppose 0 = 3*w + 3*a + 3, 2*w + 2*a + 2*a = 0. Let j be w\/z*(-60)\/8. Solve -j*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 4*u. Let i = -1 + 2. Suppose -y + i = -u. What is the lowest common multiple of y and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7640 - 4?\nAnswer: -7644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35993\/2 + 18922. Let p = 909 - v. What is the common denominator of 89\/8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 11*y + 54. Solve 0 = -3*o + 5*w + 10, 0 = 5*o - o - 2*w - y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1 - -5) - -1 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 977 (b) 0.1 (c) 1 (d) 3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -112*f + 108*f. Let x be (4 - f\/2) + (-195)\/(-18). Factor -4*c**4 + 4\/3*c - 20\/3*c**2 + 0 + x*c**3.\nAnswer: -4*c*(c - 1)**2*(3*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + n - 13. Let u(y) = -666*y**3 - 2*y**2 + 4*y - 8170. Let m(x) = 6*q(x) - u(x). Differentiate m(a) with respect to a.\nAnswer: 1980*a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124665 is divided by 1233.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 10*j**2 - 13*j + 25. Let b be z(11). Solve -3*k - 3*r + 4*r + 4 = 0, -b*k - 16 = -5*r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3\/(-5))\/(4\/(-40)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + -62. Let n(q) = -72*q + 130. Let x be n(-9). Let v = x - 400. What is the greatest common factor of o and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, 80, 175, 308?\n\"Answer: 19*r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 586953024 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - r**2 + r + 7. Let o = 170 + -123. What is the remainder when o is divided by t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 11) to base 15\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-15 - 1 - (-285 + 303))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(24\/71271))\/(60\/880) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/20 - 71\/180. Let o = y + 2\/45. Which is bigger: o or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -9. Let j be (12 + -14)\/(h\/34). Let k = 31 + j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225*y - 3216 = 1345*y + 384 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23376 is divided by 8202.\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -647*f + 20546 - 22487 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**5\/20 + u**4\/12 + u**3\/6 + 3*u**2\/2 + u. Let n be ((-222)\/15)\/((-10)\/25). Let b = -37 + n. Determine y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2059 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8256 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45670 less than 45668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7155629?\nAnswer: 13, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -776.\nAnswer: 155.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101118 by -770.\nAnswer: -50559\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-12) + 533\/78 + 7. What is the highest common divisor of t and 3444?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*t, -6*u - 6351 = -10*u - 3*t. Does 53 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 65*o - 44. What is the remainder when h(-52) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (41 + -14 - 25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 + -1)*4\/(-6). Let c = 9 + d. What is the smallest common multiple of 7 and c\/(-4) - 19\/(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 h, and 1 c when three letters picked without replacement from hyboocbys.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/2)\/j*j**37 assuming j is positive.\nAnswer: j**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + 111*((-2036)\/(-24) - 1\/2)?\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -61. Suppose -13 = -o*l - 7*w + 2*w, 0 = -5*l - 4*w + 14. Suppose -22 + 26 = -l*i. Which is the closest to -0.3? (a) 0.2 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -19*d - 296, -208*y - 26 = d - 203*y for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 762870 + 37?\nAnswer: 7628a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05815 + -2.94185. Let x = 1.5 - 11.5. Let w = -3 - x. What is the nearest to 3 in d, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 0.05 (c) -0.5 (d) 1\/9 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2692 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x - 2*v - 2, -9 = 3*v. What is a in 361*a**x - 337*a**4 - 4*a**2 - 14*a**5 + 0*a**2 - 6*a**3 = 0?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283292, 283295, 283300, 283307?\nAnswer: 283316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -32*l**3 + 3*l + 4. Let u be r(-1). What is the highest common divisor of 143 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) -0.02 (c) 41 (d) 8.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 - 56*u + 10. What is y(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*o - 13, 2*w + 14 = -2*o + 6. Solve 0 = 3*s + w - 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-1\/4))\/q)**(-3\/11)*(q*q**(-3)*q)\/q*q**(-5)\/q assuming q is positive.\nAnswer: q**(-367\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 + 28. Suppose 12*i = 5*w + 17*i - 375, 0 = w - 5*i - 93. Let f = w + q. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 9) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -242 and -973\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((((((p*p**(-7\/2))\/p)\/p)\/p*p*p*p)\/p)\/p)*p))**(-5\/4) assuming p is positive.\nAnswer: p**(55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**27)**(-2\/61) assuming u is positive.\nAnswer: u**(-56\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3063139 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7c9 + 5?\nAnswer: -7c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 16*p + 91. Calculate the remainder when f(17) is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0 (b) -3\/7 (c) 39 (d) 5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293 - 293 - 36*b.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -4*r + 5*v, 2*v - 150 + 1030 = 174*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*g - 51 = 0, 0*g - 2*g - 34 = 2*c. Let o = -96 - -114. Let d = c + o. What is the closest to 2\/3 in d, -4, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + -26574124?\nAnswer: -26574112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 50 = l + l, 3*l - 5 = -f. Let v = f - 15. Suppose -5*z = -4*c, -10 = -0*c + 2*c - 5*z. Solve 3*n + t = 2 + c, n - v*t = 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 4*f + 4. Let v be y(4). Suppose v*m - 30 = -m. Calculate the remainder when (-27)\/18 + 15\/(-6)*-9 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198993473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -307.7 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 28*t**2 - 32*t - 19. Calculate n(27).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.02 * -0.4.\nAnswer: 6.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-41148)\/13923 - 1\/(21\/(-6)). Let u = 48\/17 + z. What is the second biggest value in -97, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cltc when four letters picked without replacement from {l: 3, k: 1, c: 2, f: 11, t: 1}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462340, -462329, -462320, -462313, -462308, -462305?\nAnswer: -462304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1) + 2 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1392 and 107475392.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3\/2 - 4*k**2 + 139*k\/2 - 119 = 0.\nAnswer: -17, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7726148 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 1, -70 in ascending order.\nAnswer: -70, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7149, -7140, -7131, -7122?\nAnswer: -7113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 30 + 8 = -3*f, 3*f - d - 34 = 0. Solve 7*g = f + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 8 = -2*t. What is the second derivative of -4*o**5 + 0*o + 4*o + o**t - o**4 wrt o?\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f - 45 + 6 - 2*f. Let t be c(9). What is the third biggest value in 0.2, 1\/6, t, -2\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/9388 and -19\/272252.\nAnswer: 272252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -84155, -84159, -84163, -84167, -84171, -84175?\n\"Answer: -4*t - 84151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(192) - (sqrt(192) + -5 + 1 + sqrt(192))) + sqrt(15)\/((sqrt(275)\/sqrt(5))\/sqrt(11))).\nAnswer: -8 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**4 - 312*l**3 - 635*l**2 - 399*l - 80 = 0.\nAnswer: -1, -1\/2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*y + 84289067 - 84222903 = 0 for y.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -1 (b) 3 (c) 2\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 7:21 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -24\/9762083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 255 + -249. Is -6 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 16 + 28 + 16 + 4770*x.\nAnswer: 4770*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 + 49*k + 51. Let v be y(17). Solve 0 = h + v - 19 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13763, -13753, -13729, -13685, -13615, -13513?\nAnswer: -13373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -617 + 161 = -12*p. Suppose 72*m - 272 = p*m. Put -7, m, 1, -2 in ascending order.\nAnswer: -7, -2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8*h + 3675 = 0. Suppose -4*y - y = -h. Let i = y - 80. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*s - 509 - 1414 - 993 = 0. What is the greatest common factor of s and 6939?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 54*v**2 + 11*v - 8*v - 52*v**2 + 6*v in the form c*v + x*v**2 + d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00560628 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.35 + 0.35. Let i = l + 16.00125. What is i rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19524*u + 39041*u - 19518*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*r = 1. Suppose 3*j + 2*u = -1, 0 = 2*j - 2*u + 3*u - r. Let i = 12 - j. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -11310?\nAnswer: -11223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.392 - -0.392. What is the nearest to -2\/7 in -4, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 3:06 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -3\/4 (c) -2\/3 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 18 + -7 + -6 + -14.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.3, 0.2, 1, 304, -21.\nAnswer: -21, -0.4, 0.2, 0.3, 1, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*m**4 - 18*m**4 + 6926 - 6950 - 4*m**3 + m**2 in the form v*m**4 + p*m**3 + a*m + g + o*m**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.9 and 0.02.\nAnswer: 0.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.8 - 13. Let d = -3 - -2.9. What is the nearest to d in -2, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2091*n - 30192 = -2907*n for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in -0.2, 2.2, 1\/14, 0, 6?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 1, e: 2, j: 3}. Give prob of picking 1 b and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8731 + -8456. Let t = 27 + -2. Calculate the highest common divisor of q and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k**(-1\/2)*k)\/k)*k\/k**(1\/24)*(k*k**(-8\/7)\/k)**(3\/10) assuming k is positive.\nAnswer: k**(1777\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 17. Let m be 45293676\/d - 12\/(-30). Let w = 729368 - m. Round w to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - s = -4142 - 2449, -2*d + 6*s + 13182 = 0. What is the greatest common divisor of 117 and d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43\/4 - 11. Suppose 4*d - 12*d = 32. Let b be d*(-6)\/12*2\/26. What is the smallest value in 1\/4, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3429 or 0?\nAnswer: 2\/3429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -282 - -289. Which is smaller: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7682 and 1702.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15052, 15053, 15062, 15079, 15104, 15137?\n\"Answer: 4*m**2 - 11*m + 15059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a decade in months?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 346970 and 4082?\nAnswer: 346970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2976 - 36.2976. What is the nearest to -2 in 3, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**7\/42 - 4*z**6\/3 + 3*z**4\/4 + 90*z. Find the third derivative of a(t) wrt t.\nAnswer: -60*t**2 - 960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 2, q: 1, v: 1}. What is prob of picking 1 v, 2 j, and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*m + 1695*m + 267*m.\nAnswer: 1813*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + (-57 + 66 - (-2 - 23) - 21)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 41*d**2 + 81*d - 97. Let j be o(-43). Is j not equal to 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 69140*w - 414785. Calculate b(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 10*q**2 + 16*q + 122. Determine n(-10).\nAnswer: 962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 5*m**3 - 2*m**2 - 37*m**3.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17267 is divided by 642?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 58241 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40.04 + 40.03924. Round s to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -7*u + 4*u - 6, 3*v + 5*u = -6. Let d be (-20)\/((-2)\/(4 + v)). Let x be 17 - -6*(-3)\/(-6). Do d and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x + 5 = 0. Which is smaller: x or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 3*o**3 + o**2 + 5 + 8 + 2 - 2*o - 3*o**2 to the form w*o**2 + f*o + i + c*o**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 11*r + 49. Let d be m(-14). What is the greatest common factor of 28 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 22*m + 1. Let p be o(-19). List the prime factors of -1 + 2 + p\/(2\/(-1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82674866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 6*m + 18831. Let j = 12411 + m. Round j to the nearest 100.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/4165 and 199\/1530.\nAnswer: 74970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 10:02 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 19930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*r - 5*z - 20, -r - 2*z = 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*p - 21*p + 4*h + 2, -4*p - 2*h = -26. Let o(w) = 0*w**3 + 3 - 2 - w**3. Let f(d) = 9*d**3 + d - 6. What is p*o(g) + f(g)?\nAnswer: 3*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from sqsjqqsssqjsqs.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 141865 times -3.2\nAnswer: -453968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 15*v. Let i(n) = n**3 + 11*n**2 - 74*n. Determine 2*i(o) - 11*y(o).\nAnswer: 2*o**3 + 17*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*y - 8. Suppose -4 = -y*p + p, 0 = 5*x + 3*p - 376. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 + -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(931))**2 + 0 + 5 - (4 + (sqrt(19)*-3*-6 - (-1 + sqrt(19) + -1))).\nAnswer: -17*sqrt(19) + 930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 - -72. What is the nearest to 1 in -5, g, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*u + 12, 0 = -3*x - 3*u + 6*u. Suppose 4*g = -2*m + 3 + 17, -5*g = -4*m - 25. Calculate the lowest common multiple of g and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -q + 4*v, 4*q + 122134 = 3*v + 122151 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*h + 1188 = 0, -3*j + 3*h - 1577 = -7*j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.69, -13\/4, 3, -0.2 in increasing order.\nAnswer: -4.69, -13\/4, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + 14 + -27 + 11 + 1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10264339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318126 is divided by 77534.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 6*j**2 + 4*j + 2. Let u be i(4). Let m = -17 - u. Does 13 divide 0 - (-26 + 2) - m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3.6 (c) 0.346 (d) -4 (e) 0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 38*f + 45*f)*(6 + 5 + 8).\nAnswer: 1539*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/7? (a) 5 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 636, 3, 1 in decreasing order.\nAnswer: 636, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Let m = 30 - 14. Let y = m + -12. What is the remainder when y is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(76) + sqrt(19)))**2*2.\nAnswer: 3800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26742427 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 5*n**2 + 6*n + 7. Let t be r(6). Solve t = 5*a - 4*l, 6 = 2*a + 2*a - 3*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 16727489\nAnswer: 16727489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 225\/78)\/(3\/4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12\/25 - -106\/325. Let h = -8.63 - -6.63. Sort h, -2\/3, 1, q.\nAnswer: h, -2\/3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**2*q**3 - 54*b**2*v**2 - 5*b*q**3 + 13*b*q**2*v**3 - 735*q**3*v**3 + 7*q**2*v**3 + q**2 wrt q.\nAnswer: 18*b**2 - 30*b - 4410*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 433047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 863*b**3 + 2*b**2 + 3*b + 2. Let d(y) = 6 + 0*y - y - 7 + 8. Let k be d(9). Let t be l(k). What is t rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44432\/21 or -2117?\nAnswer: -2117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 40. Let z(c) = -12 + w*c**2 + 4*c + 9*c**2 + 11 + 12*c**2. List the prime factors of z(-2).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2594\/3 - 865. Let o = -22 - -15. Let h be ((-2)\/(-35))\/((-1)\/o). Which is the nearest to 0.1? (a) 0.3 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c - 2. Let i(k) = 7 - 10 + k**3 + k + 6*k**2 - 8*k. Let h be i(-7). Let p(u) = 5*u + 1. Determine h*x(f) - 7*p(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -8*s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -117. Let v = d + 4. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 0.5 (c) -0.035 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -362287, -362334, -362393, -362464, -362547?\nAnswer: -362642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 7*g**2 - 17*g + 4. Let q be k(9). What is the remainder when 32 is divided by (q\/130 - (-19)\/10) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scwsv. Give prob of picking 1 v and 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 334154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 10:10 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 16. Let f be o(6). Let x be (84\/(-2) - 3) + -1. Let a = -41 - x. Solve f*z = a*z + 4*t - 18, -3*z - 5*t + 21 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2. Let d(u) = -u**2 - 1. Let k(y) = 11*y**2 - 22. Let j(c) = -22*d(c) + k(c). Calculate j(h(a)).\nAnswer: 33*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 18811 + 18811 - 3*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/179 + 937\/2506. Find the common denominator of -14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 160*z**3 + 153*z**3 - 2.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11 - 15)*9\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11)*r**(-6))**(2\/39) assuming r is positive.\nAnswer: r**(-136\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiixiiniiinx. What is prob of picking 1 n and 2 i?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1715, -2078, -2685, -3536, -4631?\n\"Answer: -122*u**2 + 3*u - 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.2973 times -1771\nAnswer: 2297.5183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/3283 and 46\/63?\nAnswer: 29547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d**2 + d**2)*(4 - 4 + 2*d).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z - 15. Let w be i(8). Let j be -2 + 4\/(5 - w). Which is the nearest to 1\/4? (a) j (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*a + 8. Suppose -a*k - 4 = -4*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8909 divided by -1\nAnswer: 8909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7815, -15624, -23437, -31254, -39075, -46900, -54729?\n\"Answer: -2*b**2 - 7803*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Suppose 2*z = m - 5, m + q*z + 7 = 4*m. Let v be 2 - 0 - (2 - 2). Put v, -4, m in increasing order.\nAnswer: -4, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*z + 4 + 0 - 3 + 25*z.\nAnswer: -6*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 2*o - 1. Let p = -11 + 14. Let y be ((-1)\/(-2))\/(p\/(-6)). Let k be v(y). Solve w - 2*r = -1 + k, -4*w - r = -8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -6. Does 9 divide (-27)\/(-2)*y\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2691 and -7.02.\nAnswer: 2683.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2176*s - 128376. Calculate x(-59).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34069?\nAnswer: 7, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -341*p + 2. Let d(j) = 682*j - 5. Let s(r) = -6*d(r) - 14*u(r). Let g be s(1). Find the first derivative of g*i**2 - 684*i**2 - 16*i**4 + 9 wrt i.\nAnswer: -64*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94741\/36 or -2631?\nAnswer: -2631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 0.4 (b) 309 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 68 = -143 - 57 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 199471.96 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 - 2 = -4*r, 5*r - 3*d = 10. Let j = r + -2. Solve 4*o + 5 = o - 2*v, 4*o + 4*v = j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 56. Let g = -101 + 141. Suppose d - 3*h - 60 = -3*d, h + g = 3*d. What is the remainder when b is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*o - 13958 - 5230 = 0 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3128173*m**2 - 1885066*m.\nAnswer: 6256346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13408 + -3?\nAnswer: -3.13408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381159294?\nAnswer: 2, 3, 1163, 54623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 24 + 66. Let d(z) = -16*z - p*z + 16*z. Let f(h) = 3*h**2. What is f(d(x))?\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 1. Let m(d) = -d. Let w(t) = -t**2 - t + 1. Let g be w(0). Give g*c(o) - m(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 500067 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -10. Let h be (-15)\/(-10)*f\/(-6). Solve -7*q = -h*q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5260? (a) 5 (b) -1 (c) -1\/2583\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (308\/66)\/((-4)\/6). Is (-233)\/o + 2\/(-7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x + 2916 = 25*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16 + 143\/(-52))\/((-4)\/16*-1). Let c be -76 - (0 - (-1)\/(-1)). Is i <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11389*g*m**2 + 111884*g - 4*m**3 wrt m?\nAnswer: 22778*g*m - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 + 3)*(-7 + -4 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*j - 101, 2*q - 3*q + 17 = -2*j. Suppose -2*h - 5*z = -q, -2*h - 2*z - 7 = -19. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911454249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/(-132) - 139\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 6*w + 5*w - w + 0*w - 2*w + (-3 + 2 + 3)*(4*w - 2*w + 2*w) + w + 1 - 1)*(4*w - 5*w - w - 1).\nAnswer: -8*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 4\/8*-2. Let o(r) be the second derivative of -r - 2\/7*r**f + 1\/21*r**3 + 0 + 1\/42*r**4. Let o(l) = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1294 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*h - 93*h - 3 = -3*u, -3*h - 2*u = 8 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**4\/6 - 1541*z - 2. Let b(h) be the second derivative of -h**3\/6 - 27*h**2\/2 - h. Determine b(c(j)).\nAnswer: 2*j**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 6023*q - 12045. Calculate j(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, h: 3, t: 3, g: 5, e: 4, w: 1}. Give prob of picking 1 h and 2 e.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 523 times 0.062\nAnswer: 32.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5410.\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w + 1\/2*w**2 + 0 - 1\/6*w**3. Suppose 2*m + 8 = -2*n, -3*m + 2*n + 20 = -3*n. Determine d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 11*w - 12 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 7\/22, 4\/9, 3, -4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*g - 331*g - 18 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let f(w) = -7*w + 5. Let g be -1*2\/(-13) + (-380)\/(-65). Let t(s) = g*v(s) + 3*f(s). Find the first derivative of t(y) wrt y.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 9*m + 4. Let a be g(8). Suppose 4*j - 8 = -0, -2*j = 2*z - 8. Let w be z\/4 - 2\/a. Let x(s) = 6*s**2. Calculate x(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 24, 38, 52, 66, 80?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2076)\/3287)\/(0 + (-6)\/57).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15521, -15711, -16029, -16475?\n\"Answer: -64*h**2 + 2*h - 15459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i = -40. Suppose 4*r - 175 = -q, -r + 0*q + q + i = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/4334 and -57\/20.\nAnswer: 43340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -k + 2, 2*g - 1120 = -2*k. Let b = -565 + g. Let s(t) = -t**2 - 4*t - 5. Calculate s(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((((sqrt(960) + sqrt(60))*-2 + sqrt(60))\/(sqrt(48)\/(3*sqrt(4))))**2 - (-6*(-2 + sqrt(720))*6)**2).\nAnswer: -934661 + 62208*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*a + 495 = -61*a - 188*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -1 - -5 - 4. Let z be 3\/(-6)*(-4)\/6. Does z = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 78. Suppose 4*n = l + 8. What is the least common multiple of 6 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4389028?\nAnswer: 2, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 237414 divided by -118707\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10806 is divided by 966?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351820 is divided by 796?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56681?\nAnswer: 56681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -499?\nAnswer: -2495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/13 (b) 0 (c) -266.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -719*k - 7293. Determine c(-10).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 2. Suppose 0 = -v - 2 + 7. Let m be g(v). Let o = -409 - -419. Solve -3*a = -5*x - m, 1 - o = 5*x - a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6033.43 to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 42*l + 47. Give n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11 - 4 + d**2 + 80585*d - 80565*d. Give q(-19).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*a**3*f*l**3 + 203094*a**3*f*u**2 + 4*a**2*f*u + 26*a*f*u**2 + 161*a*l**3*u**2 + 71*l**3*u**2 wrt a.\nAnswer: 594*f*l**3 + 1218564*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - o - 3)*(89 - 89 - 8*o) - 53 - 5*o**2 + 21*o**2 - 15*o**2.\nAnswer: 9*o**2 - 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5432408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23970089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/16232 and -39\/34931264?\nAnswer: 34931264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 342 and 304?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 14) to base 15\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1622? (a) 0.1 (b) -1\/2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.11, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*n + 224*n**2 + 78*n - 25*n - 226*n**2 - 24*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(14) + sqrt(126)\/sqrt(9)*-1)\/(sqrt(3136)\/sqrt(7)) + 0)*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/4*-4 + 5. Let t = n + -4. Calculate the least common multiple of 7 and 12 + t\/(-1 + -4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -413*a*w**2 - 902*a*w + 283817557*a + 11*w**2 with respect to w.\nAnswer: -826*a*w - 902*a + 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1589452?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3128 divided by 34\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -0.097, -83 in ascending order.\nAnswer: -83, -25, -0.097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/15, 562, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*o - 15*o + 14 - 14. Let g = 10 - 39\/4. What is the fourth smallest value in o, g, -1\/3, 2\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2 - (-5 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3258712 divided by 344.\nAnswer: 9473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -32, -2, -4 in descending order.\nAnswer: -2, -4, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -381*w - 2. Let t(l) = 3*l + 2. Determine a(z) + 2*t(z).\nAnswer: -375*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -22 - -10 - 13) + 0 + 43\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76\/(-6)*(3 + -6) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/21)\/(16\/96)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/6*142\/(-8875).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 92100.37 meters?\nAnswer: 92.10037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 12:13 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 771989371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 20) + 9 - (0 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/5 - 1014*u**2\/5 + 164016*u\/5 - 8239968\/5 = 0. Calculate u.\nAnswer: 99, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-5180))\/(31\/(-248)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/20)\/((-1)\/(-12)). Let p be (2\/50)\/(-42*19\/(-23940)). Factor -2\/5*a**3 - l*a + 2\/5 + p*a**2.\nAnswer: -2*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.119419256 to 4 decimal places.\nAnswer: 0.1194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -822967\/805 + 5112\/5. Let t = 8\/23 + v. Solve -3\/7*k + t*k**3 + 9\/7*k**2 - 6\/7 - 3\/7*k**4 = 0 for k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -29 - (-3678 - -3690)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2742.19 - 2775. Let f = v - -33. Which is greater: 2\/7 or f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c + 15 = 3*f, f = -3. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 408801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-28) + (-526)\/(-14) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 201 or 189?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/10)\/((-21)\/(-70)). Solve 4*r + 5*u = -t, 4*u + 18 = 5*r + 2*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 14*j - 1. Let x = 1861 + -1877. Determine i(x).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/12*1*8. Let k = y + 5. Let m = -6 + 6.3. Put m, k, -2\/9 in ascending order.\nAnswer: -2\/9, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u = -9747 + 8674 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 - 42 - 16*s**2 + 3*s**2 to t*s**2 + x*s + k and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 10*q**2 - 66*q - 113. Determine l(5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*i + 14*i - 45. Is ((-1394156)\/(-84) - 2\/21)*i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*(x*x**(-2\/3))\/x)**23*((((x**(-3\/8)*x)\/x)\/x*x*x*x*x)\/x)**(-3\/8) assuming x is positive.\nAnswer: x**(10187\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 252*b**2*o - 80415953*b**2 - 42591*b*o with respect to o.\nAnswer: 252*b**2 - 42591*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63414 and 1248.\nAnswer: 1014624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 2. Let s(h) = 2*h**2 - 2*h - 89776. What is s(a(m))?\nAnswer: 8*m**4 - 20*m**2 - 89764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + 2*m**2 - m**4 + 2*m**4 + 2*m**4 + 2*m**4 + 0*m**2 + m**4 + 0*m**2 + (0*m**3 + 3*m**3 - m**3)*(m - m + 2*m).\nAnswer: 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6948 = -k + a - 669, -3*k - a + 18849 = 0. List the prime factors of k.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-36))\/(230\/(-368))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17.7 and -9.\nAnswer: -26.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 514, -0.78, -2, -65, -2\/5?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 s, and 1 x when four letters picked without replacement from expxtexppsxx?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1 (c) -3 (d) -1 (e) -0.039 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 2*d**2 + 0*d**2 + (2 - 2 - d)*(2*d + 2*d - 5*d) + (-3*d - d + 7*d)*(-d - 1 + 1))*(23*d**3 - 17*d**3 - 126*d**3).\nAnswer: 120*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*6*1\/3. Suppose -3*n + 12 = 3*i, -2*n = -5*i + 2*n + 29. Suppose -i*s = -b - 22, -3*b + 4 - 2 = 2*s. Sort s, 7, u.\nAnswer: u, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -2 + 2 - -1. Suppose 2*y + 35 = 3*t + 184, -4*t + 215 = j*y. Let g = y + -252. What is g rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23761356421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(100)\/sqrt(4) - sqrt(25))\/(sqrt(80) - (sqrt(80) + (sqrt(80) - (sqrt(80)*-1 + sqrt(80))))) + 0)**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*l - 501 = -324 + 453 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 10*o**2 + o + 14. Let r be w(-10). Solve 12 = 2*h + 2*h - 4*i, -24 = -5*h - r*i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 + 72*u - 233. Give i(3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11274\/11 + -1026. What is the common denominator of -23\/3 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s - 72. Let h(u) = 8*u - 12. What is the remainder when w(-29) is divided by h(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -36 - (-5 + -5 + (-3 + 10 - -11)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4778*s - 19107. Determine t(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -22*f - 17. Let p be u(-4). Suppose -7*t - 1 = -p. Calculate the smallest common multiple of t and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1 - 2 = -k, -4*k = -5*f - 4. Suppose -2*s + 8*s - 24 = f. Suppose -u = 3*z - 1 - 173, s*u = 0. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 77*g**2 - 288*g + 31. What are the prime factors of u(66)?\nAnswer: 43, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 + -0.2. Let g = v + -0.48. Is g at most -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 0*d + 0*d)*(64*d - 32*d - 33*d - 3)*(-3 + 3 - d).\nAnswer: 2*d**4 + 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116693846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -196307.7355 rounded to the nearest ten?\nAnswer: -196310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -4\/159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**5 + 2966035*k**4 + 14830090*k**3 + 23728100*k**2 + 11864040*k = 0.\nAnswer: -593202, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8583 - -8606. Solve -4*b - g = 2*l + b, -13 = 4*l - b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188401 is divided by 188392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19161\/1975130 - 1\/2630. Let v = g + 23787\/26285. Suppose 59 = -2*z - 3*p, -p = -z - 31 + 9. Calculate the common denominator of z and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3 (b) 5 (c) -0.1 (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4721 = 7*m + 7872. Is m\/(4 - 11) + -4 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58946.\nAnswer: 2, 29473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 200 = l. Let j = l + -35. What is the highest common factor of 75 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x\/x**(14\/5))\/x)*x)*x*x**(-1\/14)*x)**(-5\/13) assuming x is positive.\nAnswer: x**(131\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/36 and -20\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**4))\/p**3)\/((p*(p**(-1\/4)*p)\/p*p)\/p**(-4)) assuming p is positive.\nAnswer: p**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 27034300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 639 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v + 14. Calculate p(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 494177409 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -478710 by 3.\nAnswer: -159570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/1156*-34*((-736)\/(-20))\/2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 4) in base 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -189562.\nAnswer: -18956.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 4}. What is prob of picking 2 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 383, 575, 769, 965, 1163, 1363?\nAnswer: 1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9304 take away -4.77?\nAnswer: -9299.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40460 - 3818. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, e: 2, i: 4, o: 4}. What is prob of picking 2 o and 1 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f + 42. Is d(27) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182 * 246.11\nAnswer: -44792.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5 - 16*o - 49*o + 4*o. Is q(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooo. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4708, 4675, 4600, 4465, 4252?\n\"Answer: -3*z**3 - 3*z**2 - 3*z + 4717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.009*-26094\nAnswer: -234.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/550 and -47\/22.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*f + 22*f**2 + 1 + 111*f - 207*f - 2.\nAnswer: 22*f**2 + 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 172.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -403 + 403 - 43*i**3 - 3*i**3 + 0*i**3 + i**3 - 4*i**3 - 2*i + 2*i + (-i + i - 2*i**3)*(-2 + 1 + 3) to h*i**3 + b*i + w + n*i**2 and give h.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 14. Suppose -r = w - 7. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(68))*4 - (sqrt(68) - (-2 + sqrt(68) + 4)**2)) + -2*(4*sqrt(68) + -2 + 2).\nAnswer: -2*sqrt(17) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 1\/90*a**5 + 1\/4*a**3 + 5*a**2 + 0 + 1\/12*a**4 + 9*a. Let f(w) be the first derivative of t(w). Factor f(n).\nAnswer: (2*n + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - (3 + -8 - -11)) + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 17*w + 24. Determine n(2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = o + 67, 0 = z + o + 4 - 17. Calculate the remainder when (43*-1)\/((-8)\/z) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(130))\/sqrt(10) + ((sqrt(13) + -2 + sqrt(13))*-5)**2 + 3 + -3.\nAnswer: -198*sqrt(13) + 1396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1982, -1991, -2006, -2033, -2078, -2147?\n\"Answer: -g**3 + 3*g**2 - 11*g - 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - h - 6 - 17 = 0, -4 = -4*h. Suppose -8*w - 44 = -164. Calculate the least common multiple of z and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19984 and 342226?\nAnswer: 2737808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -ba3 (base 14) to base 4\nAnswer: -203323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c**3 - 9. Let o(w) = 1. Let z(l) = -4*l**3 - 2. Let a(h) = -3*o(h) + z(h). What is 9*a(i) - 5*f(i)?\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2626 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, -8, -1 in descending order.\nAnswer: -1, -8, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2\/4 - 17160*w + 1849635\/4.\nAnswer: 5*(w - 13701)*(w - 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, y: 7}. What is prob of picking 1 i and 1 y?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -594, -2\/9, -0.3.\nAnswer: -594, -4\/7, -0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -42915, 4, -12 in increasing order.\nAnswer: -42915, -12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 times -0.18?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**5\/60 - u**4\/24 + u**3\/6 + 30*u**2. Let r be g(-3). Let w(q) = -q**3 - 3*q**2 + 6*q - 5. Does 8 divide w(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a day in minutes?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*c + 144 = 0, -2*g + 2*c - 54 = -c. Let m = 46 + g. What is the first derivative of 5*b - 9*b + 4*b + m + 2*b**3 wrt b?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73467*q**3 - 72955*q**3 + 146434*q**3.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.3 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/8 + 249*w**2\/8 - 247*w\/4.\nAnswer: -w*(w - 247)*(w - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-25)\/(-2))\/(-5)*(-1 - (-1 - -2)). Suppose -4*n + 1 + 7 = 0. Solve -r*z = -3 - n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7 + 278*g + g**3 - 278*g. Suppose 0 = -2*o + 2*o + 5*o. Calculate b(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**6\/45 - 2*l**5\/25 + l**4\/30 + 14*l**3\/45 - 8*l\/15 + 2850. Find c such that t(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/2 (b) -4 (c) 4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673?\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19983422?\nAnswer: 2, 9991711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 2*g**2 - 8*g + 4. Give q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-7) + 0 + (34144\/(-1925) - -18). Put 5, -2\/9, q, -5 in decreasing order.\nAnswer: 5, q, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2\/(19 - 3)). Let k be 652\/18 - g\/(-36). Suppose k - 5 = b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3627240 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -4, -13\/5, 1\/18, 2 in descending order.\nAnswer: 3, 2, 1\/18, -13\/5, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**4 + 50*h**3 - 180*h**2 + 270*h - 135 = 0. What is h?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1723324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16464 - -33930. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 18. Let c(d) = -d**z - 4*d**2 - 15*d - 7 + 19 + 4*d**2. What are the prime factors of c(-14)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*-7137\nAnswer: 149877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0*z + 0*z**3 + 2\/15*z**5 - 1 - 1\/105*z**7 - 1\/168*z**8 - 2\/3*z**4 + 1\/10*z**6 - 233*z**2. Determine m, given that s(m) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/m**(1\/16)))\/m)\/m**(4\/5))\/((m\/m**(-7)*m)\/(m\/(m\/((m\/(m*m\/m**(-7)))\/m*m)))))**39 assuming m is positive.\nAnswer: m**(-58461\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1109 - 114*l + 2*l**2 - 117*l + 231*l as g*l**2 + x + m*l and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/837 and -43\/1395.\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5 + 2)*-1 - (-208)\/(-60))*-3. Let y = 1.6 - 1.5. What is the nearest to -1\/5 in y, i, 7\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*t + 116 = 4*d, -d = 4*t - 22. Let s = -62 + 97. Let q = s - d. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, -1237, -2762, -4287, -5812, -7337?\nAnswer: -8862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*(-6*(5 + sqrt(475)) + sqrt(475) + 2)*-6)**2.\nAnswer: 806400*sqrt(19) + 7291584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r - 16. Let f(j) be the first derivative of -j**2\/2 - 3*j + 1. Let b(h) = 337 - 2*h - 5*h - 164 + 216. Let c be b(56). What is c*o(l) + 16*f(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1443, 32.\nAnswer: 19, 32, 1443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 142 = -2*g, 5*g - 5*z = -2*z + 334. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.4900732 months to millennia.\nAnswer: 0.0002075061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d - 12*d + 6*d - 120*d to the form p + z*d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + r**3 + 2*r**2 - 2*r**2 + (5*r + 5*r - r + (-r - 2*r + 2*r)*(-3 + 0 + 5))*(4*r**2 + r**2 - 3*r**2).\nAnswer: 15*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -632 - -642. Solve y = -4*q + 9*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 4:02 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(80) + 1*(sqrt(80) - sqrt(80)*1) - (-3 + sqrt(80)*-1 + sqrt(80))) + 6*(sqrt(80) + -1 + 1) + -3)**2.\nAnswer: -288*sqrt(5) + 1361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004574714 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3278 + -2?\nAnswer: 3276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 131*k**3 + 5*k**2 - 15*k + 88*k**3 + 15*k.\nAnswer: 219*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 305 = -111*l + 63 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23015552 and 192?\nAnswer: 69046656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -144.58 * 1173\nAnswer: -169592.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 8*t + 7. Let z be o(-7). Suppose -d = -3*s - 65 + 23, z = -5*d - 3*s + 300. Calculate the remainder when d is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 - -118. Calculate the greatest common factor of 220 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*(k**1\/k*k)\/k)\/k)**(-2\/11)\/((k**(-14)*k)\/k)**32)**(-26\/3) assuming k is positive.\nAnswer: k**(-42692\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025752 rounded to five decimal places?\nAnswer: 0.00258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 (base 7) in base 4?\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33076 + 19407. What are the prime factors of x?\nAnswer: 31, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 617195.9 minutes?\nAnswer: 37031754000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**2 - 172*k + 999. What is c(-40)?\nAnswer: 1479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (49 - (-23 + -2 + 13 - -11)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 42. Determine k so that 2\/3*k**5 - 2*k**p + 0 + 2\/3*k**3 + 2*k**2 - 4\/3*k = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4540 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2652 + 1149. Let m = -866 - v. Calculate the highest common factor of 49 and m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3714 = 4055. Let k = c - -170813\/22. Calculate the common denominator of k and 55*2\/32*1.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, b: 1, h: 3, v: 1, c: 3, i: 3}. What is prob of picking 1 u, 1 c, and 1 h?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1474026711.\nAnswer: 3, 41, 11983957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687172 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*z + 7 - 7)*(-1 - 2*z + 1) + z**2 - 8*z**2 + z**2.\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 - 2) - (30 + -32).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*u + 7 - 17 = 0, 3*u = -4*v + 5. Solve -5*s - 14 = -v*f, 2*s - 2*f + 5*f = 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21557 - 5.\nAnswer: -21562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b6 + 1?\nAnswer: 4b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 12804.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -27. Suppose h + r*j - 8 = 0, 5*j = -h + 10 + 10. Suppose 0*o - o + 2 = h. Solve -3*q = -5*p + 40, -19 - 11 = -4*p + o*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k + 20. Let w(v) = 3*v - 7. Give 6*o(m) + 17*w(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-4)\/(-48)*1*(-96)\/(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3831.612 - 91.02?\nAnswer: -3922.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-54))\/(4\/(60\/5))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/58 - 28\/(1242360\/(-1581))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 179*w**2 - 2*w + 1. Suppose 6 = 5*a - 9. Let h be (9\/a - 2) + 1. Is m(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5207093.\nAnswer: 239, 21787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 158825548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1))**40)**30)**(1\/5) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 15?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1196*d - 191. Let a(q) = -399*q - 63. Let u(h) = -7*a(h) + 2*i(h). Is u(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i - 1 - 7*i + i. Let y(v) = -v. Determine 2*h(o) + 3*y(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2892*q - 12 = 2890*q. Solve 6 = 6*i - q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 109. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2077)\/3 - 2\/3. Let c be i\/1620 - (-2)\/(-15)*-3. Is c bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*653\/6*4\/2. Suppose -3650 = -7*t + b. What are the prime factors of t?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -93\/4, -1\/7, -4 in descending order.\nAnswer: -1\/11, -1\/7, -4, -93\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6 - 8. Suppose 3 - 16 = -3*p + c, -3*p - 5*c + k = 0. Suppose 0*n + 16 = p*n - 4*q, 2*q - 1 = -n. Solve 0 = 5*b - n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 - -9. Let g = u + -186. Which is greater: -1\/2 or g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44539*3\nAnswer: 133617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 10, f: 9}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-3 - -34 - 69)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2335648 divided by -32\nAnswer: -72989","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzmmhvzzz. Give prob of sequence vh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-55 - -4) + (-5 - -13 - 1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 464.7 times 42814?\nAnswer: 19895665.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 526 + -523. Sort -1, 4, 34, z in descending order.\nAnswer: 34, 4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -4)*(-2)\/4. Let h be (32\/(-3))\/4*-33. Suppose v = -0*r - 4*r + h. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 0*k + 7*k = 21, 7 = -13*o + 2*k + 102 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.36 * 24.5\nAnswer: -8.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 - 4 + 4)*(2*y + 4 - 4) - 1 + 1 + 4*y**5.\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(18) + sqrt(18) + sqrt(18)*1 - sqrt(18))\/sqrt(6) + sqrt(3)*1*5.\nAnswer: -5 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/10769 - 22008\/2530715. Let s = -139\/235 + a. What is the closest to -8 in -3, s, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 - -85. Solve -10\/3*n**4 + 38\/9*n**t - 8\/9*n**3 - 8\/9 + 8\/9*n = 0.\nAnswer: -1, -2\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2 - 2)*(-5 - 1 + 5)*(3*o + o - 6*o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**2 + 3*l - l - 3*l. Let a be (0 - -1)*(-1 - 0). Is v(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171765 and 630.\nAnswer: 2404710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -696, -732, -766, -798, -828, -856?\n\"Answer: l**2 - 39*l - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**4\/u)**6\/((u*u\/u**(-14))\/(u\/(u**0\/u))) assuming u is positive.\nAnswer: u**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -27. Let i(k) be the first derivative of 0*k**3 + 1\/4*k**4 + 2 - 2\/5*k**5 + t*k**2 + 1\/6*k**6 + 0*k. Find q such that i(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1314 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 587748, 587740, 587732?\n\"Answer: -8*f + 587756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 - 74864*w**2\/9 - 228093880*w\/9 + 34082581600\/9.\nAnswer: -2*(w + 6310)**2*(3*w - 428)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(130) - -3*sqrt(130)))\/((sqrt(10) - (sqrt(20)\/(sqrt(10)\/sqrt(5)) - sqrt(10))) + sqrt(10))*-1.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 5 - 1, -31 + 80 - 24 = -5*s + 5*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.41083*-3.\nAnswer: -1.23249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119\/12 + 29\/12. Let g(q) = -q**3 - 4*q**2 + 8*q + 6. Let s be g(-5). Let n = w - s. Which is the closest to -2\/5? (a) 5 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9565*l**4 + 11466*l - 1 wrt l?\nAnswer: -114780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1518 - 0.2518. Which is the closest to 1? (a) 0 (b) 0.1 (c) 51 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14499)\/(-5) - (-4)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 204 = 8*j - 4*m, -173 = 4*j + 3*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11 and -0.2343262808739?\nAnswer: 10.7656737191261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1225 (base 8) in base 4?\nAnswer: -22111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*u - 142 = 104. Let h(a) = a**3 - 6*a**2 + 9. What is h(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 707.5 times 3.6\nAnswer: 2547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -19. Let f = 80 - j. Suppose -5*w + f = -3*q + q, -62 = -4*w - 2*q. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*n*x**2 - 2750*j*x**2 - 5*n*x + 2*n - 12*x**2 - 5*x wrt j.\nAnswer: n*x**2 - 2750*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8383?\nAnswer: 83, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5 - 3*b - 6*b + 18*b - b**2. Suppose 4*c + 12 = -4*a + 4, -c + 28 = -5*a. Suppose -c*j + 24 = j. Determine m(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6322328 rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 21. Calculate the greatest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -14*i + 7. Let o(g) = -15*g + 8. Let h(s) = -5*o(s) + 6*t(s). Let m(x) = -3073777*x - 5*x**2 + 3073777*x. Calculate h(m(c)).\nAnswer: 45*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/1116*-18)\/((7\/(-72))\/(-7))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 261, 2, -3, -2, -5, 1 in decreasing order.\nAnswer: 261, 2, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**6\/15 - l**5 - 4*l**4 + 2941*l. Factor i(d).\nAnswer: 2*d**2*(d - 12)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(99)\/(-5*sqrt(9)).\nAnswer: -sqrt(11)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 10) in base 8?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {u: 4, x: 2, b: 7, h: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 <= -482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*o = 7, -39*o = -4*x - 37*o + 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 4:07 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 3:50 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 333\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(1*2\/14). Is 4\/4*u*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1965 + -1962. Solve 0 = -g - 0*f - 3*f + 5, -w*g + f + 5 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -41*l + l - 1330. Which is bigger: l or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/1500177973 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x + 2. Let f be h(0). Suppose -f*m = 15 + 5. What is the hundreds digit of ((-2)\/12*m)\/((-7)\/(-525))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/60 + 2300*z**2. Let v(l) = 1991*l. Calculate v(m(d)).\nAnswer: -1991*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.03 + -0.03. Let y = 21 - 187\/9. Put z, y, -5 in descending order.\nAnswer: z, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*d = -26*d + 149 + 99 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1570 + -1117. Suppose -7*r + 282 = -o. Let x = 38 + r. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -15*r + 120. Suppose 0 = 4*f + a - r, 2*f = -a + 6. Let p be 9*(-3*16\/18 + f). Solve z + 2*y + 1 + 1 = 0, z + 2 = -p*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 215353*s. Let w(l) = -l**2 - 2. What is a(w(r))?\nAnswer: -215353*r**2 - 430706","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1182912*b**2*y**3 - 14*b**2*y - 2*b*y**3 + 96*b*y**2 - 19*b wrt y.\nAnswer: 7097472*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9*t - 84*t + 286650 = 0. Calculate the highest common factor of t and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 2 (c) -6892 (d) -0.3 (e) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q - 1. Suppose -5*w = 4*k - 65, -5*w + 85 = 5*k + 15. Let x be a(w). Let s = -8 - x. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/(38\/(-171)). Solve 0 = 4*b + 8 + 8, 0 = -4*a - f*b + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138\/55200*-100)\/(3\/(300 + 0))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 53\/(-1) + -2*1. Let k = -301 + 406. Let d = f + k. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 + -66.7. Which is smaller: x or -2\/71?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-150)*39*(35\/30)\/((-70)\/(-150))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/75, -3\/5, 0.5, 5, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + 2 + 4 + -1 - 14) + 8 + 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**0\/m*m*m*m)\/(m**(-1\/6)\/m))\/(((m**(2\/5)\/m)\/m)\/m)**(2\/39))\/(((m\/m**(-5))\/(m\/(m\/(m**5\/m)*m*m)))\/(m\/m**(-2\/3))**(-1\/4)) assuming m is positive.\nAnswer: m**(53\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128\/3 - 509\/12. What is the nearest to 0 in l, -3, -4\/5, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 7, 3 in decreasing order.\nAnswer: 7, 4, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 34982*b - 40290*b - 12 to the form y*b + i and give y.\nAnswer: -5308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 3*r = 13, 269*r = 13*d + 274*r - 110 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 - 1311.2409?\nAnswer: -1311.1909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + (sqrt(448) - (1*sqrt(448))**2) + -3 + sqrt(21)\/sqrt(3) + 1*sqrt(252)\/sqrt(4).\nAnswer: -451 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 2 = -37. Solve x = m, 2*x - 4*x + 2 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 4. Let u be c(-4). Suppose -2*l + 32 = x - u*l, x - l - 17 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 41*w - 144. Let k be m(37). Solve 3*l = 2*s + k - 0, -3*s = -2*l + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 30. Let i = 26 - w. Is i smaller than 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19140968 to the power of 1\/2, to the nearest integer?\nAnswer: 4375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 82666, 82667, 82668, 82669, 82670?\n\"Answer: k + 82665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (188\/(-141))\/((-14)\/9).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9168422 tonnes in grams?\nAnswer: 916842.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26154, 30011, 33868?\n\"Answer: 3857*u + 22297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/6*(7 - 5). Let t(u) = 2*u**3 + 2*u**2 - u. Let f(n) = -n**2 + n - 1. Calculate c*t(g) + f(g).\nAnswer: 2*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 844566520 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 97 = -x, -2*h + x = h - 72. Is ((-10)\/h)\/((-6)\/90) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (31 + -45 - (-8 - -2))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73.707 and 0.032.\nAnswer: 2.358624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**2 + 157*c - 1073. Let i be z(-25). Solve 4*m = 11*n - 6*n, i*m + 10 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165\/2450047 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -s + 82. What is the greatest common factor of s and 312?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(-6))\/55*7*-2*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0 (b) 350 (c) 266\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 8*a + 9. Let n be s(-9). What is the second derivative of n*c**4 + 6*c - c - 3*c - 3*c**4 wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.09. Let q = f + -0.39. Let c = -42 - -45. Sort 0.1, c, q in descending order.\nAnswer: c, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78343 greater than -78344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -443.1234 to the nearest integer.\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104590336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 881254?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129723*v + 129249*v = 9006 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 139888*k - 44461620.\nAnswer: 4*(k - 315)*(k + 35287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -6*m + 60. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200322, 200297, 200270, 200241, 200210?\nAnswer: 200177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 12. Let o be (0 - 1) + -2*(-45)\/10. Solve x*c - 3 = -o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112257.4 years to centuries.\nAnswer: 1122.574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11 + 34\/((-7106)\/47595). Which is bigger: -240 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:34 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.0098 rounded to zero decimal places?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2737 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 774 and 48.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119.564687 rounded to 0 dps?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**2 - 47*d - 4. Let r be j(8). Suppose 3*b - 2*s = s + 579, r*b + 5*s = 781. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -138684 in decreasing order.\nAnswer: 0, -1, -138684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 831141 and 30783.\nAnswer: 831141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 11*w + 4. Let t be (3 - (-2 - -10)) + 3. Calculate the remainder when (t - (-1 + -2))*17 is divided by b(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + 0 + -88 + 83\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.6? (a) -2.8 (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1 = 5*u. Let w be 38\/6 - (-4)\/(-12). Solve -2*f + u = -w*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/5))**(-8)*((l**(1\/3)\/l)\/l)\/(l**(1\/3)*l) assuming l is positive.\nAnswer: l**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 6*f**2 + 11*f**2 - 6*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 5. Let f(m) = m**2 + 2. Let g(h) = -5*f(h) + 2*l(h). Let u(q) = 4*q**2 - 3*q**2 + 0*q**2. Calculate g(u(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4 = 0, -3*w + 187 = -3*g + 199 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*b + 220 = 312*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(5\/4)\/y)\/y))**(2\/85)*((y*y**(-25\/4)\/y)\/y*y)\/y*y**(-2\/35)*y assuming y is positive.\nAnswer: y**(-14969\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 152 = 2*u, 0*u + 144 = -5*h - 4*u. Let t = h + 36. Suppose 2*j - f = 2347, -t*f = 4*j - 5*j + 1191. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 22 + 19. What is the remainder when 8 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172 (base 11) to base 4\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 1. Let c be d(1). Suppose -3*i - a + 40 = 0, 3*i - 8*i - 3*a + 72 = 0. Solve c = o + 2*o - i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mznannmnzm. What is prob of sequence azn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 9*g**2 + 2. Let z be 4 + (-4 - 3) + 12. Let c be s(z). Solve -5*q - 26 = -p + c, -p = 5*q + 22 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3400) - sqrt(34))\/sqrt(2).\nAnswer: 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*p = -312*p + 7994 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 4) to base 14\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 5, 1, -10 in descending order.\nAnswer: 5, 2, 1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 - 4*r**2 + 2*r + 3. What is v(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4930*m**3 - 1541*m**3 - 1546*m**3 - 1844*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 6*v**2 + 4*v + 4. Determine u(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(34)\/(sqrt(2) + sqrt(72)) + -2)**2 + 3.\nAnswer: 20*sqrt(17)\/7 + 768\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-19) + (-114)\/(-1083)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*k**6 - 105*k**2 - 3*k**6 + 1 + 214*k**2 wrt k.\nAnswer: 4080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -38.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 466.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29730 - -4043221\/136. Calculate the common denominator of x and ((-1)\/3)\/((-3714)\/(-468) - 8)*(-655)\/(-2096).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-12)*350\/105)\/(1\/9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -159*o**2 + 36*o + 7. Let z(p) = 476*p**2 - 103*p - 20. Calculate -17*n(i) - 6*z(i).\nAnswer: -153*i**2 + 6*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(117) + (sqrt(117) - (sqrt(117)*1 + -3)) - sqrt(117))**2*2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 592\/10 + (-13 - 704\/(-55)). Suppose 8*b - 483 = -x. Solve -z + b = 57 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m = 4*t - 17, -2*t + 2*m + 6 = 0. Let l be ((-9 - -8) + 3)\/((208\/(-24))\/(-13)). Solve 5*f + t = l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29338\/3 - 9712. Find n, given that 8 + 70\/3*n**5 - 302\/3*n**4 + 142*n**3 - 16\/3*n - k*n**2 = 0.\nAnswer: -2\/7, 3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -56*p - 48. Let m(o) = -o - 1. Let t(l) = 48*m(l) - s(l). Let z(h) = h. Give t(z(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 56*z**3 - 127*z**2 + 49*z - 8. Let o(i) = -11*i**3 + 23*i**2 - 10*i + 1. What is 2*d(h) + 11*o(h)?\nAnswer: -9*h**3 - h**2 - 12*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*z - 32 = 180*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11010010?\nAnswer: 11010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -2\/11 (b) -1\/82 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 23 = 5*t, 4*t - 19 + 2 = s. Let u be -81 + -9 + t - 6. Is -94 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltw when three letters picked without replacement from wwlwttllltwttttw.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-1 - -8) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9121867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 335636.8 micrometers in kilometers?\nAnswer: 0.0003356368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3051949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 5*t - 30025, -3*t + 15 = 0. Round h to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217685 (base 15) in base 2?\nAnswer: 110000101010001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2. Let o(z) = -z**3 + z + 4. Let j be o(0). Suppose j*d - 11 = -3. Let q(t) = -d*t**2 + 3377*t - 3377*t. Give q(r(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/((-270)\/(-27)))\/(18\/9*-1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 8*a**2 - a + 2. Let i be l(-8). Suppose -i*g = -11*g + 49. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((-506)\/(-1527) + 13\/(-39))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**3 + 5*l**2 - 4*l + 2. Let y(x) = 3 + x**3 + 117*x**2 - 107*x**2 - 9*x + 6*x**3. Let o(z) = 5*s(z) - 3*y(z). Give o(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.039137 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 181 + 178 = 3*r, 6*d - 3*d = -31*r + 129 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3591 = 4238*c - 4181*c for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0, -5\/3, 0.3, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**3\/3 + 9*v**2 - 15*v + 31. Let z be i(-20). Differentiate 17*g - 48*g - 11 + 41*g + z*g wrt g.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/14 smaller than -0.29766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 2*f**3\/3 - 103. Let t(l) = -26 - 11 - 2*l - 13. What is p(t(h))?\nAnswer: 8*h**2 + 400*h + 5000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Let l = 79383 + -79387. Let m(z) = z**2 - z - 1. Let v(s) = 4*s**3 + 2*s**2 - 3*s - 4. Give l*m(g) + p*v(g).\nAnswer: 4*g**3 - 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 5*g**4\/12 + 100*g**3\/3 - 205*g**2\/2 + 93*g - 15. Let x(y) be the first derivative of v(y). Factor x(a).\nAnswer: 5*(a - 1)*(a + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3204*m**2. Let n(f) be the first derivative of f**2 - 7517. Give z(n(o)).\nAnswer: 12816*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -733 + 287*c**2 + 367 + 1016*c**2 + 366.\nAnswer: 1303*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 8*y + 12. Let h be j(-9). Suppose -w = h*w - 124. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6762 + 13516 + 0*m - 6760 - 7*m.\nAnswer: -7*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**4\/24 - r**3\/2 + r**2. Let p be a(-4). Let n be (p - 0)\/((-1)\/(-9)). Solve -2*m - 6 = -k, 3*m - k = -2*m - n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z = -8. Suppose -202*k = 4*t - 201*k + 48, -4*t = 2*k + 56. Sort -1, 1, z, t.\nAnswer: t, -1, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-10)\/33*(-9)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + (2 - -1) - 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -6 - 30) + 54.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 10) in base 6?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3216, -3215, -3214, -3213, -3212, -3211?\nAnswer: -3210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -171*s**2 + 2294*s\/5 - 232\/5 = 0.\nAnswer: 2\/19, 116\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.84 + 2.84. What is the third smallest value in -1\/12, -77, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 13102456569?\nAnswer: -13102456556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58707 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * -5.14191.\nAnswer: -0.4627719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19038*r**2 + 5*r + 3*r + 9518*r**2 + 76 - 31 + 9522*r**2 to x*r**2 + j + v*r and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 86436 divided by -7\nAnswer: -12348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75288864 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*1*(-4)\/3. Suppose m - b = -6. Let g(x) = 6*x**2 + 6*x - 2. Let a be g(m). Calculate the greatest common divisor of 90 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 - 1.87. Let d = -1286.6 + 1286.2. Which is the nearest to p? (a) d (b) -0.13 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-1*(3 - 2)). Let f = 42 + -37. Suppose -5*m + w = -f, -z*m + 29 = -m + 5*w. Which is the smallest value? (a) m (b) 1\/2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6585941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1125087 divided by 6\nAnswer: 375029\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*c**2*l**2 - 114598*c**2*l - 66*c*l**2 - 3*l**2 wrt l.\nAnswer: 22*c**2 - 132*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/55)\/(90\/(-225)). Which is the second biggest value? (a) m (b) 0.8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x - 1555*x + 10746 - 821 = -2859 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/6654 and 61\/16.\nAnswer: 53232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 11887.58782 to the nearest 100.\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/4 + -19\/2. Find the common denominator of -37\/40 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 1619e?\nAnswer: -16199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101021 (base 3) to base 6.\nAnswer: -15224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 12\/19 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 - 4*l**2 - 5*l - 7. Let b be v(-2). List the prime factors of ((-108)\/(-144))\/(b\/44).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 345*z**3 - 222*z?\nAnswer: 2070*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6151, 6152, 6153?\n\"Answer: m + 6150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65 - 54 + 33)*(-95*i + 17*i - 12*i) to y + c*i and give c.\nAnswer: -3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 5*l - 3, -4*l = 5*h + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3658 or 3759?\nAnswer: 3658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 - -113. Let c = h - 16.99999921. What is c rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 37 = 9. Let k be -20*(-3)\/(-84) + (-360)\/35. Let v = t - k. Solve -v*c - 3*f = 4 - 11, 3*c - 3*f = 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + 3*d)*(-2*d**2 - 24*d - 8*d - 2*d).\nAnswer: -6*d**3 - 102*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) 2\/13 (b) 0.2 (c) 4\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65854 is divided by 448?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s + 1. Let z(q) = 4879319*q**2. Determine f(z(l)).\nAnswer: 53672509*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 748882 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 10\/(-1440)*-148. Let a(z) be the second derivative of z + l*z**4 + 0 + 0*z**3 - 1\/6*z**2. Determine v, given that a(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44441, 88827, 133155, 177395, 221517, 265491, 309287, 352875?\nAnswer: 396225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {r: 1, p: 12, z: 2, i: 1, f: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10858496?\nAnswer: 2, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 10:53 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k**2 - 9*k**2 - 10*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-29))\/((486\/(-3))\/(-18))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 19*g**2 - g**2 - 12*g**2. Let x(o) = -9*o**2. Determine x(p(v)).\nAnswer: -324*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q = 0. Suppose 4*b + 2*s - s - 52 = q, -b = -3*s - 13. Suppose -b = -v + 1. Calculate the least common multiple of 2 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from {u: 1, m: 3, j: 3, s: 2, c: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 8793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21164\/49 or 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12322330 (base 5) in base 2?\nAnswer: -11101011000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2013*g - 2 - 7*g**2 + 2013*g to the form f*g**2 + z + u*g and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, 0.9, 3, -4, 0.72 in increasing order.\nAnswer: -4, 0.72, 0.9, 1.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/t**(-1\/5))**(-3\/47)*(((t**(1\/3)\/t)\/t)\/t)**37*(t**(1\/3)\/t)**(-48) assuming t is positive.\nAnswer: t**(-47279\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcrwkbkc. What is prob of picking 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*b + 3. Suppose -2*p + 6 = 0, l = 2*p - b*p + 5. Suppose 36 = l*y + y. Solve n + y = -2*n + 5*i, -3*n - i = -6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*((-1 + sqrt(112))**2*3*2 + -4 + -4).\nAnswer: -720*sqrt(7) + 10050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 smaller than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 6 = -6*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 705, 1409, 2113?\nAnswer: 2817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/3, -0.1, 388219?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + g + 18 = -3, -w + 15 = g. Suppose r = 5*t + 55, -174 = -8*r + 4*r - 3*t. Calculate the greatest common divisor of w and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 - 7*p**2 + 19*p**2)*((2*p - p + p)*(7 - 3 - 2) + p - 3 + 3 + 0*p + p + p - 2 + 2 - p + 0*p + 2*p + 0*p)*(-481 + 143 - 296).\nAnswer: -40576*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 5*b + 5, 3*b + 7 = -3*f - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**6\/40 - b**5\/15 + b**4\/6 + 2*b**3\/3 + 17*b**2 - 2*b. Let o(p) = 5*p**3 - 7*p**2 + 7*p + 7. Determine -7*f(c) + 4*o(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g**(2\/5)*g)\/g)*g*(g\/((g**5\/g)\/g*g))\/g)**(-13\/3) assuming g is positive.\nAnswer: g**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 29. Let h be (o\/(-2))\/(18\/12). Suppose h*y - 996 = -2*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4304938?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/33*-1 - (-1092)\/(-3465)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30055361.\nAnswer: 7, 4293623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151095 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 4?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*sqrt(110) + sqrt(110))*4 - (sqrt(110) + 2*-1*sqrt(110) - sqrt(110) - sqrt(110)))\/(1*sqrt(1000)*6).\nAnswer: -sqrt(11)\/60 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384584027347*d**3 - 3 + 0 + 3 + 384584027334*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 166.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 8. Let u be 1*16 - (-1 - -1). Calculate the greatest common divisor of u and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78*a**3 + 1563163*a**2 + 431003083?\nAnswer: 234*a**2 + 3126326*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((251\/(-26355))\/(1\/(-15)))\/(2\/98)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 7:20 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Suppose -221*j - 1024 = -6991. Calculate the remainder when j is divided by 1 - s\/(1\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6*c - c - 1, -4*s - 4 = -4*c. Let g = 194 + -197. Put 17, c, g in ascending order.\nAnswer: g, c, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18976 - -18979. Suppose 3*r - 15 + 35 = 4*g, -4*r = g + 14. Solve -v - g*v = -3*w, -8 = k*w - 5*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4725340, -9450680, -14176020?\nAnswer: -18901360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o = 3*g, 3*o + 10 = -g. Let d = 9 + -6. Suppose d*z - 4 - g = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 253 - 1238 = 0. Suppose t = 8*z - 283. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1362 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 11:27 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 25 = 5*v + 2*y, -20 = -3*v + 4*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -329\/206, -0.5, -5, 5, -9 in ascending order.\nAnswer: -9, -5, -329\/206, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243, 11, -233, -495, -781, -1097, -1449, -1843?\nAnswer: -2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p**(-1\/41)*p)*p)\/p)\/p)\/p*p**(-4\/9))\/((p*p**9*p)\/p*p*p*p*p*p**2*p*p*p) assuming p is positive.\nAnswer: p**(-7904\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 + 0 + 1 + 7*l**2 - 2*l**4 as w*l**3 + k*l + a + h*l**2 + c*l**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*u - 21*u + 20. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 18 = 3*v. Let i be -1 - v*(-1 + 2). Solve 0 = 3*n + i*k - 19, 2*n + 3*k - 16 = -2*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 not equal to -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10699930 and 5.\nAnswer: 53499650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 474838 = 474792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*k - 51 + 198 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13055217 (base 8) in base 13?\nAnswer: -7aa0a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 3*j - 4. Let y be x(-4). Let q = -20 + y. Calculate the smallest common multiple of q and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -27. Let d(u) = 2*u**2 + 10*u + 1. Is d(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 - -20. Let a = -146.9 + s. Is 105 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 9*i**2 - 10*i + 2. Let t be g(-10). Let l be 1 + 0 - (-6)\/t. Solve 4*n = 5*q - l, n + 4*q + 6 = 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2600, 9258, 19974, 34748, 53580, 76470, 103418?\nAnswer: 134424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40967 or -1231.6?\nAnswer: -40967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**7\/210 + 289*f**5\/30 + 61*f**3\/2 - 915*f**2. Differentiate c(n) with respect to n.\nAnswer: 4*n**3 + 1156*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i = -112. What is the units digit of ((-3)\/(-2))\/(3\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {q: 2, o: 2, l: 4, g: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2*j - 4 = 0, -6*t + 3*j - 6 = -10*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -208124 - -12?\nAnswer: -208112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1649 divided by -20?\nAnswer: 1649\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69964206.\nAnswer: 2, 3, 13, 23, 59, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5)*m*m*m)**(2\/21)*((m\/m**(-4))\/m)\/m**(-5)*(m**(1\/14)\/(m*m**(-2\/13)*m*m))\/(m**(-1\/3))**(5\/4) assuming m is positive.\nAnswer: m**(12539\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 15\/7, 4\/3, 38?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**4\/6 + d**3\/6 - 4*d**2 + 9*d. Let a be b(4). Let z be (5\/(-15))\/((-3)\/a). What is the third biggest value in 0, z, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/20349 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -28. Put s, -1, 11, 5 in ascending order.\nAnswer: -1, s, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4 = 3*c, 5*s - 8*s = -2*c + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from zxfxbxxzx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6646221*h**2. Let m(l) = 3*l. Calculate m(s(r)).\nAnswer: 19938663*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*g - 0*g. Suppose 2 = -z, -5*z - 3 = -k + 7. Suppose -4*f + 8 = -k*f. Solve 0 = 4*c + f + g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5049*w - 6*w**2 + 5049*w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -18. Let f(l) = 2*l**2 - 2*l - 1. Let s be f(v). Let b = s - -108. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 h when three letters picked without replacement from kvkoccohvvvhockvohk?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*y + 28256 = -119398. What is the smallest common multiple of y and 30?\nAnswer: 18930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*i - 38*i - 2268 = 72*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15027 times -5?\nAnswer: -75135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 970941328?\nAnswer: 2, 7, 31, 279649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/82? (a) -1\/4 (b) -2\/11 (c) -3 (d) -4 (e) -180.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21062 + 57496 + 84841 = 2475*s for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2bd (base 16) to base 7.\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*q + 2 = 0, -8*p + 61 = 118*q - 117*q for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9272674 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: List the prime factors of 2106.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h**4 + 27*h**4 + 3*h**4 + (2*h**4 + 1 - 1 + 2*h**3)*(9 + 8 - 6) as c*h + q + v*h**2 + j*h**4 + d*h**3 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 219 + 419. List the prime factors of k.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = 293 + 1450. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -6*x - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 + 12202*f - 557188. Give l(45).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -71, -149, -231, -317, -407, -501, -599?\n\"Answer: -2*m**2 - 72*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 - (-88)\/(-14). Let j(w) = w**3 + 5*w**2 - 7*w - 3. Let x be j(o). Calculate the common denominator of 73\/4 and x\/(-2)*(-2)\/(-60).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddjwcdaddkjdd. What is prob of picking 1 a, 1 j, 1 k, and 1 d?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 17*u + 3*i - 984 = 0, 5*i = 0. What is the units digit of ((-15)\/12)\/((-3)\/u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 151. Let r = -131 + l. Solve -12 = -c - r*u, 3*c + 16 = 2*c + 3*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -542\nAnswer: 10.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 21*b**2 + 102*b - 18. Let w be h(-13). Solve -26 = -6*v - w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*j - 12, 0*b + 4*b = 4*j + 16. Let h be (3\/(-2))\/(2\/b). Suppose 1679*x = 1617*x + 62. What is the biggest value in -2\/3, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 - 3030.332.\nAnswer: -3137.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - -2) - (-8 - (-34 - -17))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from qkuqhu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 151 = -95. Suppose a*y - 7*y = 986. Solve 3*l = -17 + y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 689940 (base 13) to base 15\nAnswer: 33e17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/((-17)\/(-357)*-28)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 8*r**2 - 18*r - 5. Let v = -2 - -6. Suppose 2*d = w - 0*w + 89, -5*d + 224 = -v*w. Calculate the remainder when d is divided by n(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838.8692 milligrams in tonnes?\nAnswer: 0.0000008388692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/(-1) - ((-219414)\/(-960))\/29 and 63\/1100.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**6 - 1558*g**5 + 165*g**3 - 11539761*g**2 wrt g?\nAnswer: 240*g**3 - 93480*g**2 + 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5. Suppose -5*b - 4*r = -22, b - 5*r + 17 = k. Suppose 8780*u - 15 = 8765*u. Solve 0 = -b*i - 1 - u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*p - 7720 - 2528 = 0 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - ((5 + -4 - 2) + -2 + -3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 347 + -223. Suppose c + 240 = 7*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -468\/5 + 61318\/655. Let q(a) = -a**3 - 3*a**2 + 4*a. Let f be q(1). Is f >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3204\/42 - -6)\/(3\/21) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9649*y + 24. Give q(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -68043, -136072, -204103, -272136, -340171, -408208?\n\"Answer: -n**2 - 68026*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 + 9*c**2 - 8*c - 2. Give q(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -267*b**5 + 25571 - 25571 + (2*b + b**2 - 2*b)*(3*b**3 - 4*b**3 - b**3) + 30*b**4 - 30*b**4 + 4*b**5.\nAnswer: -265*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2854 and 38526?\nAnswer: 54976602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -3) + (9 - (0 - -14))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 29*d + 74 = 5*u - 25*d, u - 71 = -4*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-462)\/9)\/(-11)*4\/14?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 (base 15) in base 14?\nAnswer: 50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 2 - 14\/1. Let d be ((-12)\/(-15))\/(((-18)\/c)\/3). Suppose -t + 5*r = t - 8329, 16718 = 4*t + d*r. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.37 and -3.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 26. Let n = -0.069 + -9.931. Let d = n - p. What is the biggest value in -2\/13, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f**4 + 2*f**2 - 2*f + 29. Let v(g) = -49*g**4 - 9*g**2 + 9*g - 115. Let j(s) = -9*a(s) - 2*v(s). What is the first derivative of j(w) wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 3*p. Let k be (-18)\/15*10\/4. Let v be j(k). Solve 2*a + 6 = -5*g - v, -4*g = -2*a + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/5*-4)\/((-4)\/(-30)). Suppose -7*h - 22 = d. List the prime factors of 171\/3 + h - 1.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 33. Let a(w) = o + w**2 - w**3 + 15 - 3*w + 17 + 21. Does 23 divide a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 503*n - 511*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2601, 12, 1\/6, -1, -8, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - -127. Suppose 7*s - 2*s + b = 0. Let f = s + 74. Sort f, -5, 2 in decreasing order.\nAnswer: f, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9396 and 2070?\nAnswer: 1080540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let a be q(0). Suppose a*r = 5*r - 10. Let n(s) = -s**2 + 2*s**2 - 2*s**r. Let v(h) = -2*h. What is n(v(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 32, -312.\nAnswer: -312, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Suppose -p = a*p + 45. Let d(y) = y**2 - 41*y + 396. Let i be d(24). Which is smaller: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 937 + -901. Suppose 4*a + 5 + 63 = 0. Let u = m + a. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2 - 17852*y - 71376 = 0?\nAnswer: -8922, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2 = -2. Let k(a) = 43*a**3 - 2*a**2 + a. What are the prime factors of k(g)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 times 103?\nAnswer: -12154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 11:14 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124960 by 24992.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5011 is divided by 288.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 0*s)*(-251*s**2 + 540*s - 540*s) - 13*s**3 - 4*s**3 + 4*s**3.\nAnswer: 489*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 49*p - 6. Let d(s) = 41*s - 6. Let w(q) = -7*d(q) + 6*z(q). Let h(u) = 13*u + 11. Calculate -4*h(a) + 7*w(a).\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12842 is divided by 739.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 85167 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 8. Let l be m(5). Suppose -9*s + l*s = 3. Is s < -5\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241076 is divided by 1086.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4140413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**3 - 20*n**3 + 53*n**3 - 17*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (297\/(-330))\/((-1)\/(-15))*9\/162*-56.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88601.2 decades to millennia.\nAnswer: 886.012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568*h + 24551 + 16863 = 805*h - 5268 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -5*q**2 - 7*q + 1. Is a(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 102553, 204259, 305965, 407671, 509377?\n\"Answer: 101706*p + 847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = -6. Suppose -o*g - 5*b = -0*g - 11, 0 = -5*g + b + 68. What is the remainder when 34 is divided by g + -9 - (-2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - -2 - 5 - (-13 + 7 + 15)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -6?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8863 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4257*-12447\nAnswer: 52986879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-8) + 963\/12. Let g = -43 + k. Suppose -5*c - j = -159, 2*c - 31 - g = 5*j. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0 - 2 = -y, 2*j = 0. Suppose -2*q = 4*p - 634, 4*q = y*p + 2*q - 320. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.6 - 39.17. Let n = -0.03 - -0.01. Let d = n - o. Round d to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5*z + 35, 10 + 15 = -2*j - 3*z. What is the nearest to 13 in j, 2\/17, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 43*i**3\/3 + i**2 + 60*i - 56. Differentiate a(m) wrt m.\nAnswer: 86*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*k + 4*p, 3*k + 134 = -4*p + 139 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 greater than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 33*f + 32*f = 16799, 5*z = 2*f + 27997. What are the prime factors of z?\nAnswer: 3, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 + z**2 + z - 1. Let x be p(1). Factor -t**4 - 3*t**x + 5*t**3 - t**4.\nAnswer: -2*t**3*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 4 + (sqrt(684) - sqrt(684)*2)**2)*-6*1.\nAnswer: -4128 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 283600.4 grams?\nAnswer: 0.2836004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*a - 2 = 8*s, s + 4 = 3*a. Let m be 7\/2 - 2\/4. Let n(v) = 2 - m*v + 4*v - 1. Let k(t) = 14*t + 10. Calculate s*k(c) + 12*n(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrb. Give prob of picking 1 r and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 668, 1337, 2006?\nAnswer: 2675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/30)\/(-1)*30\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-29)*((-33)\/(-9) + -2). Let o = -141\/145 - l. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 1364 = -1604 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8877, 36103, 81485, 145023, 226717, 326567?\nAnswer: 444573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 222614 + -1350?\nAnswer: 221254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 - -15. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 22 = 35*p - 32*p, -16*p = -5*n - 91 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/1027 + 6148\/7189. Is 2 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3 + 49*h + 3*h**2 - 51*h + 4*h**3 - 8*h**3 + 0*h**2 - h**2. Let o(t) = -13*t**3 + 7*t**2 - 7*t - 10. Give 7*b(x) - 2*o(x).\nAnswer: -2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*x + 1 = 0, 4*z - 13 = -x - 4. Let b(a) = -6*a**3 + 2*a**z + 211*a + 0 - 215*a - 8. List the prime factors of b(-3).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 70, 209, 476, 913, 1562, 2465?\nAnswer: 3664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*x - 83, 0 = -4*k + 5*k - 5*x - 11. Suppose -6*h + k*h = 30. Let s = -4 - 1. Which is the third biggest value? (a) 3\/11 (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3795922 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -206416?\nAnswer: 206422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 - 9*m**3 + 48*m**2 - 36*m = 0. Calculate m.\nAnswer: -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.118 - 516.\nAnswer: -515.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -993, -2290, -4141, -6540, -9481?\nAnswer: -12958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6698777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21 - 21)\/(0 + 3). Solve 2*k = -3*l + 4, 0 = 2*k - z*l + 4*l - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*h - 4, -5*h + 10*q = 6*q - 10 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8009 and 285152?\nAnswer: 277143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2668 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2081?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 s when three letters picked without replacement from {d: 3, s: 13}?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 6445028*i - 6445028*i.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, 15, 88, 235, 480, 847, 1360?\n\"Answer: 4*w**3 + w**2 - 8*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -808, -816, -828, -844?\n\"Answer: -2*z**2 - 2*z - 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/2 - (1 + -2). Let r = 28 + f. Suppose 3*z - w - 85 = -0*w, -4*z = -2*w - 110. What is the least common multiple of r and z?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(2 - 2 - 3*b) - 3 - 2*b + 3 - 22 - 10*b + 23 + 39*b.\nAnswer: 24*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 202952 + 438?\nAnswer: 203390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54786 and 1794.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68.84, 0, -17, -1\/2 in decreasing order.\nAnswer: 0, -1\/2, -17, -68.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 1. Let r be h(2). Find the second derivative of 4*b + 5*b**5 - r*b - 4*b**5 wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.001 - -5.599. Round l to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7144? (a) 0.79 (b) 2\/15 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*k = -90, -3*z + 7*z - 5*k + 124 = 0. Let o be z - -1 - 4\/2. Let v = o - -118. Calculate the highest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 902 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 6*w + 3*v + 496, -351 = -3*w - 3*v. Calculate the remainder when 372 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11822275957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 347, 364, 367, 350, 307, 232?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*u**2 + 119*j**3*u - 399*j*u**2 - 3*j*u wrt j?\nAnswer: -6*j*u**2 + 714*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -9*d - 45, -49*l - 5 = -44*l + d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 180 = 23*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avyqw. Give prob of sequence qa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + o**3 - 3*o**3 + 2*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 178 = -2*i, 5*y - 2*i + 5*i = -220. Let f = -79 - y. Let m = f + 59. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -311*i + 1265. Let h be r(4). Solve 0 = -4*n + 7*n + h for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhhufufyhyufyyy. Give prob of sequence hy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3522*k**2 - 35225*k - 18. Determine z(-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 + 15*i + 2. Let k be 2\/5 + 212\/20. Let p be j(k). Suppose 5*l + 2*l = p. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*h + 16. Let k be (-1 + -2)*h\/36. Let f = -1.5 - -6.5. What is the closest to 0.1 in 3, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 3*d + 2*d + 4*d + 6*d**2. Let r be 7\/(-4) - 1\/4. Let s be (1\/2)\/(r\/(-4)). Let v(f) = -f**2 - f + 1. Give s*u(g) + 2*v(g).\nAnswer: 2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -685 = 8*v + 1123. Let r = v - -228. Put 7, 4, 1, r in decreasing order.\nAnswer: 7, 4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.7755 rounded to one decimal place?\nAnswer: -37.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 12 = -5*p, -p + 3*p - 20 = -3*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*n + 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*q**6 + 2*q**5 - 35*q**3 + 28*q**2 + q - 81 wrt q?\nAnswer: -1680*q**3 + 120*q**2 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 76 = -2*y, -4*u + 2 = -3*u. Calculate the remainder when y is divided by ((-192)\/112)\/((-2)\/14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - c - c = 0, 0 = w + 2*c + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/6 - -79\/30. Which is the nearest to -0.1? (a) -0.2 (b) k (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 3.9, 0.2, -6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -336*o**2 - 73*o + 122. Is a(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(7056)*2 - sqrt(7056)))\/(((sqrt(392)*2 + sqrt(392))\/sqrt(8))\/((-1*sqrt(42))\/sqrt(6))).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4*(sqrt(363) + 2)**2 - (-5 + 2*sqrt(363))) + 5).\nAnswer: -8868 - 924*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, -14, 1 in ascending order.\nAnswer: -16, -14, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 1 - 1. Let i = 3 + k. Solve i*p - 4 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*k + 1036, 3*l - 7*l + k + 833 = 0. Suppose l = -3*d - 49. Let x = -32 - d. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + -77. Solve -2*c - l = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:39 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*z + 62*z - 633384 = 11*z. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165204*0.2.\nAnswer: 33040.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**3 + 3*v**2 + 3*v - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 7*v + 8. Let x(z) = -3*z**2 + 20*z - 23. Let h(f) = 11*o(f) + 4*x(f). Determine h(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24479240 by 5630.\nAnswer: 4348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, -90, -195, -342?\n\"Answer: -21*v**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + d - 17. Determine y(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3\/63449569 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, v: 2, i: 3, h: 2, s: 2, y: 3}. What is prob of sequence hhs?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 329761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*l)*(-3*l - 2*l + 4*l) + 3*l**2 - 5*l**2 + 3*l**2 - 432 + 432 - 24*l**2 - l.\nAnswer: -21*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 86.5544l?\nAnswer: 86554.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6482705, 6482703, 6482701, 6482699?\nAnswer: 6482697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**2*n**3 + 2*k**2*n + 3*k**2 - 158977*k - 2897031*n**3 + 2*n**2 - 2 wrt n.\nAnswer: 18*k**2 - 17382186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = 2*n. Let o = 57 + -15. Let q = 42 - o. Which is the second smallest value? (a) q (b) n (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1023002253 - -10?\nAnswer: -1023002243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 117*r**2 + 115*r - 13428. Give t(117).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.1 less than or equal to -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8177772 from -514.7.\nAnswer: -8178286.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24962627 is divided by 240?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k - 1. Let d be f(-2). Suppose 0 = 2*a - d*a + 35. Let z = -24 + 29. What is the remainder when a is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 65*p + 7. What is the tens digit of u(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*(3\/12 - (-81)\/(-36)). Suppose -11*v + 16760 = -6*v - 3*c, -g = 4*c. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 8*q - 9. Suppose 0 = -5*r - 3*v + 33, 40 - 35 = r + v. Calculate b(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -34300000 to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1778*m - 10990 = 1106*m - 1526*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29328 by -24.\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*w = 8 + 2, 2*w + 36 = 4*h. Let u be -7 - 536\/(-44) - (-4)\/(-22). Suppose -u*l + 95 = -65. What is the greatest common factor of h and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 58*n + 16. Let q be j(-5). Let i = -112 - q. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/2)\/(-4 - (-175 + -5)\/10)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + (-50)\/(-6))\/((-3)\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/6)\/(2\/4). Suppose -3*i + 75 = d*h - i, 4*h - 48 = -4*i. Suppose -2*r + h = -r. Calculate the remainder when 32 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 256? (a) -13 (b) 1\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*i + 4376 + 1844. Let r = 399 + i. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 55\/4 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00623777228 to five dps.\nAnswer: 0.00624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(319\/(-44))\/29*16\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 + -29. Let o = y + 143. Which is the third smallest value? (a) -0.2 (b) 1\/6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818205 is divided by 272735?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxwwxxwwwwixwwwiwww. Give prob of sequence xxix.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (6775\/(-150))\/(2\/(-24)*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*z - 25, -350*r - 3*z + 36 = -353*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/36)\/i)\/i)**(-3\/38)*(i*i**(-19))**42)**7 assuming i is positive.\nAnswer: i**(-2412907\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(63) + -2 + -4)**2.\nAnswer: 60*sqrt(7) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1a37 (base 11) to base 6\nAnswer: -15541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/143 + 137\/429. Let s = -12.5 + 13.5. What is the nearest to t in s, -0.4, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*x**2 + a**3 + 389*a**2*x - 28431*a - 14479988*x**2 wrt x?\nAnswer: -2*a**3 - 28959976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -3\/8, 0.013, -4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 837 + -342. Let w = -1484\/3 + g. Solve w*x**4 + 0 + 2\/3*x**3 + 1\/3*x**2 + 0*x = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 91, 135, 179, 223, 267?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 20.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*a**2*h*l**2 + a**2*h*l - a**2*l**2 + 6*a*h*l**2 - 27*a*h*l + 2*a*h + 18*l**2 wrt a.\nAnswer: -122*h*l**2 + 2*h*l - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + -28. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 0.26, -5, 3\/23, 0.0399?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159633053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 5, 101?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4 - h**3 + 2 - 19*h + 20*h - 7*h**2. Suppose 15*z = -17 - 73. Give l(z).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) -5 (c) -1\/2 (d) 1\/5 (e) 0.1 (f) 3 (g) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 855 or 872?\nAnswer: 872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**3*g**(-5)*(g*g**(1\/2))**48 assuming g is positive.\nAnswer: g**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 79537913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 7*o + 11. Let h(a) = -5 + 9 + 8 - a**2 + 6*a + 5*a. Calculate the smallest common multiple of 18 and h(o).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 587.7 + -590. Let f = 0.235 - 0.035. What is the closest to 0.2 in 3\/4, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 13, -2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8775)\/(-54) + 2\/(-4). Find the common denominator of -2*(-778)\/(-144) - (-36)\/w and -61\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 - 2*f**2 + 16*f + 4. Let v be g(-6). Suppose 13*p + v = 8874. What are the prime factors of p?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28\/57 + 3\/19. Let z = 377 - 718. Let l = z - -341. Which is the closest to l? (a) o (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 338 - 5072\/15. Let j = -2550\/13 - -11587\/26. Let n = j - 249. What is the nearest to n in 0.3, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 h when three letters picked without replacement from hmdmmyyyyyymhyyyhd.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*j = 494 - 1775 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 373.82 + -374. Round y to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6683 divided by 6683\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 122*o**2. Let g(z) = -2*z**2. Calculate m(g(h)).\nAnswer: 488*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2316340\/7 not equal to -330906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/1 - -1)*-40. Let f be ((-68)\/51)\/(-1) - (-12040)\/(-30). Is f not equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/708399115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100*127.\nAnswer: 12700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 + -1 - -5) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 17*r + 20*r - 19, -5*b + 22 = 4*r. Solve -b*g = -3*k + 9, -3 - 3 = 2*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f. Suppose 0 = -3*n + r + 11, 29 = 5*n - 101*r + 102*r. Let j(x) = -x - 2*x + x. What is n*j(u) + 3*m(u)?\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*g + 140, 2*v + 58 + 36 = 4*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = -5*m - z, -2*z = -m - 4. Suppose 1419 = 4*l + m*t - 961, 2 = 2*t. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2152016763 + -3.2152. Round x to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2 - (-17)\/(-19). Let l = 290.1 - 289.7. Put l, 1\/2, j in descending order.\nAnswer: 1\/2, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -w + 4*w - 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 21*u**2 + 47*u + 25. Let j be g(-23). Let v(z) = 3*z**3 - z**2 + 2*z + 6. Let f be v(j). Calculate the greatest common divisor of 18 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-2\/5)))**(-38)*a**4\/a*a\/a**(2\/9))**(23\/5) assuming a is positive.\nAnswer: a**(-11822\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2972a + 48?\nAnswer: -296d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1298603.79 - -118309337.79. Let o = d + -117010738.9999999. Let w = -5 - o. What is w rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 - 46) + (-20 - -20) - (-540 - -552)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6))**(-10)\/(t**(-18))**(-7\/5) assuming t is positive.\nAnswer: t**(174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1085467 or -1?\nAnswer: -2\/1085467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*b - 4*m, 167*m = 3*b + 170*m - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.366812 centuries in millennia?\nAnswer: 0.0366812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177998?\nAnswer: 2, 61, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3 + 5. Let s = 3 + -3. Which is the nearest to 0.1? (a) y (b) 2\/11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 23 - ((5 - (4 + -12)) + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/90 - 1\/(-5). Is -9 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + s - s)*(-s**3 + s**3 - 2*s**3 + (126 - 126 - 26*s)*(2 - s**2 - 2)) to the form w*s**3 + c*s**2 + l*s + v*s**4 + o and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 3. Let a be p(3). Let n = -9 + a. What is the closest to 1\/5 in n, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 1.4. Let p = -0.6 + f. Let s = 3 + p. Which is the third smallest value? (a) s (b) 1\/3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10256218 divided by 317.\nAnswer: -32354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(13\/4)\/(y*y**(-5\/3)*y*y) assuming y is positive.\nAnswer: y**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.2, -0.07, -0.3, -1.4, -5\/3, -6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3936541?\nAnswer: 7, 37, 15199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55232 and 948?\nAnswer: 13089984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7 + 2*f + 2 + 0*f. Suppose u + u + 12 = 0. Let r be v(u). Let w(k) = 2*k + 2. Determine w(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171148 is divided by 125?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 196? (a) -0.0679 (b) -4 (c) 1 (d) -3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 5\/9 (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54375 is divided by 18109?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1171187 days in hours?\nAnswer: 2.8108488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -23. Let g = x - -7. Find the third derivative of 2*p**6 + 12*p**2 - 25*p**2 + 3*p**g wrt p.\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/10*100840\/(-1482348).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (2 - -5)) + (1 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1018 + -498. Suppose m - 178 = 19*w. Calculate the remainder when 24 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 12 = j, 5*j - z + 31 - 35 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -12*a. Let h(c) = 13*c**2 - 26*c**2 - 13*c**2 - 5*c**2 + 2 - 16*c**2. Give h(w(g)).\nAnswer: -6768*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (2 - 3) - -4765. Suppose -4*p = -0*p + 5*t - 3807, 5*p + t = z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)*-6)\/sqrt(4))\/(sqrt(720) - (sqrt(720) + (sqrt(720)*-2*3 - sqrt(720)))).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3936543*h**3 - 5335719*h**2?\nAnswer: 23619258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1. Let q(a) = -a - 3. Let k = -23 + 20. Give k*b(o) + q(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.28, 23709, -2, -0.1.\nAnswer: -2, -0.1, 0.28, 0.4, 23709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 79831643 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -10*m - 298. Let i be (-161)\/924 + (-1)\/4. Which is greater: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 8:24 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 12*i - 72. Differentiate -14*b + 43 - 1 + 32*b**4 + i*b + 7*b with respect to b.\nAnswer: 128*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 1, h: 3, a: 2, f: 1, y: 3}. Give prob of picking 1 h and 2 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:20 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 - (-22 + 1 + 4 + -35 + 36).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 - 24*r - 13. Let k(i) = -i**2 + 8*i + 4. Suppose 2*a + 0*a - 22 = 0. Let j(w) = a*k(w) + 4*z(w). Is j(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 5*t + 7. Let b = -36 + 44. Let j be a(b). What is the highest common factor of 155 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(4 - 5 - 1)*(-5*y - 12*y + 134*y).\nAnswer: 234*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1963 by 13.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = -3*a. Are -5 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1213751786 and -0.02.\nAnswer: 1213751785.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 15*k = -450. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooccohoooocoocchhcc. What is prob of picking 2 h?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let z = m + 2. Sort -2, -2\/3, z in increasing order.\nAnswer: -2, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1725.731km to nanometers.\nAnswer: 1725731000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.816 in 163\/8, -3, 1\/10, 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 446512 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*x**2 - 3 - 8*x**2 + 17*x**2 + 6.\nAnswer: 73*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 17*c**2 + 47*c + 480. Give j(-16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u + 10. Let n(t) = 2*t**2 - 4. Let o be n(u). Suppose -2*i + 1 = -o*c + 21, -4*c = i - 20. Calculate the least common multiple of 9 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 0.096 in ascending order.\nAnswer: 0, 0.096, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578841 divided by 36.\nAnswer: 192947\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 10. Let n(z) = -z - 1. Give -j(o) - 3*n(o).\nAnswer: 2*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(2\/17)*z)*z)**(-2\/43) assuming z is positive.\nAnswer: z**(-30\/731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 573798 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 650.4605 millennia in decades?\nAnswer: 65046.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**3*s**3 + f**3*s**2 + 139*f**3*s*v*w + 6*f**3*v*w - 111*f*v + s**3*w wrt w?\nAnswer: 139*f**3*s*v + 6*f**3*v + s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 851606505 to the power of 1\/2, to the nearest integer?\nAnswer: 29182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 489370 and 626?\nAnswer: 153172810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -162579926 divided by -5\nAnswer: 162579926\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 1, 3\/2, 0.4 in increasing order.\nAnswer: 0, 0.4, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -421400 - -100?\nAnswer: -421300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -20, 45 in descending order.\nAnswer: 45, 4, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - 0.31. Let v be (-12)\/(-8) + 0\/(-2). What is the nearest to 0 in 5, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-2)\/1 - -1. Suppose -4*w + 4 = 52. Let g be 0 + w*2\/y. What is the highest common divisor of 56 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 19 + 12. Let j(n) = n**3 - 8*n**2 + 5*n - 2. What is j(l)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 503307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/((-12)\/440))\/(1\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 45, 88, 135, 186?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 1\/90*x**6 + 1\/18*x**3 + 0 + 0*x**2 + 1\/20*x**5 - 12*x + 1\/12*x**4. Find v, given that m(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20081, -40466, -60861, -81272, -101705, -122166?\nAnswer: -142661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/(-99) - 148\/585. Let p = i + 73\/260. Factor -1\/4*y**3 - 1\/4*y**2 + 0 + 1\/4*y**5 + p*y**4 + 0*y.\nAnswer: y**2*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57931640 to the power of 1\/2, to the nearest integer?\nAnswer: 7611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 37740\/(-120) + 0 + 1\/2. Let v = -315 - a. Which is smaller: v or 3\/155?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 17*z**2 + 2*z + 1. Let h be y(-1). Let i = h - 12. Suppose -4*o + i = -0. What is the highest common divisor of 2 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 217*y**3 + 229*y**3 - 118*y**3.\nAnswer: -106*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4685*j + 72 = -4693*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l - 7. Let b be f(-6). Solve -3*h + b = -7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)*y*y*y*y**(-2\/19)*(y*y**(1\/20)\/y)\/(y*y**(6\/7)))**(-32) assuming y is positive.\nAnswer: y**(147096\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 0.529.\nAnswer: -3.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n + 4*k + 25, 3*k + 3 = -2*n. Let r be (-2)\/n + 423\/(-81). Which is greater: -7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.446225nm in centimeters?\nAnswer: 0.0000000446225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1236 + -848. Suppose -5*g + 302 + x = 0. What are the prime factors of g?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -572595000 by 5725950.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25397 is divided by 200.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slsf when four letters picked without replacement from zzizffszizlslsi?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 164, 185, 228, 299, 404, 549?\n\"Answer: d**3 + 5*d**2 - d + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -126*p - 864. What is i(-8)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 8460 (b) 11 (c) 0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, j: 8, x: 3}. Give prob of picking 4 j.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 4 + 4. Find g such that -1\/4*g**3 + a - 1\/2*g**2 - 1\/4*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208211408149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**3*v**2 + d**3*v + 5*d**3 - 141310*v**3 - 237818 wrt v?\nAnswer: -4*d**3*v + d**3 - 423930*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - z**2 + 2*z**2)*((-1 - 2 + 4)*(0*z - 3*z + 5*z) - 6 + 6 - 10*z).\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 14*y**2 + 13*y + 26. Give j(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29618910*c**3 + 10060592 wrt c.\nAnswer: -88856730*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*x + 1. Suppose -5*t + 17 = x. Put t, -1, 1 in ascending order.\nAnswer: -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 43?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 1374 - 34*w + 1364 - 4099 + 1361.\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.7, -4, 89, 0?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*l + 101*l + 27190. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t - 1. Let y(m) = -m. Suppose 5 = -13*x - 8. Determine x*q(v) + 3*y(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32739529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 + 0.0547?\nAnswer: 574.0547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*b = 14, -176*b + 180*b + 2 = q. Solve -2*l - q = -0*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-7) + (56 - 60). Sort j, -2, 7, 5 in ascending order.\nAnswer: -2, j, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**3 + 10630*k**2 - 21284*k + 10646.\nAnswer: 2*(k - 1)**2*(4*k + 5323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**8\/w)*((w**(1\/8)*w)\/w)\/w assuming w is positive.\nAnswer: w**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z + 3*i = -52*z - 2, 2*z - 2*i - 12 = 0. Let a(n) = 3*n + 2. Let t be a(5). Suppose -13 = -3*o + z*d, -2*d + 0 - t = -5*o. Is o != 28\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 3*m + 1. Let x be v(0). Let z be 676\/(-40) + (-3)\/30. What are the prime factors of x - -1 - (-2 + z)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 20 = -3*y + 16, 4*r = 4*y + 16. Let u = r - -14. Calculate the remainder when 65 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-1131)\/(-6264)*72.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(19))*1 - ((sqrt(304))**2 + sqrt(19) + 1 + sqrt(19)).\nAnswer: -303 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*u - 11 = 0, 2*n + u = -3*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g = 3. Suppose 5*r + y + 4*y - 15 = 0, 40 = 4*r - g*y. Suppose 90 = -373570*h + 373579*h. Solve -l + 4*c = 2*c + r, 5*l - 5*c + h = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -15*b + 6. Let d(w) = -3*w + 1. Let u(q) = -5*q - 109. Let i be u(-26). Determine i*d(s) - 4*x(s).\nAnswer: -3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 j when three letters picked without replacement from {j: 1, d: 2, w: 2, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*n + 6 = 0, -2*q + 13*n - 18*n - 1 = 0. Suppose -3*d = d + t + 83, -3*d - 3*t = 69. Sort q, d, -3 in ascending order.\nAnswer: d, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + (sqrt(1584) - (1 + sqrt(1584) - sqrt(1584))) - (1*sqrt(1584)*-6 + sqrt(1584))))**2.\nAnswer: 864*sqrt(11) + 57060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 39*s**2 + 45*s - 186. Let g be i(40). What is the highest common divisor of g and 572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51310 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -41.1. Round r to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-1\/52)*t\/(t*(t\/t**(1\/4))\/t)*t**0 assuming t is positive.\nAnswer: t**(7\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**3 - r**2 + r. Let b(w) = w**3 + 5*w**2 + w - 3. Let k be b(-4). Let t = -8 + k. What is the units digit of x(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w**2 + w**3 - 8 + 0*w + 4*w - 2*w. What is the remainder when 31 is divided by s(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1156 + -0.11382462?\nAnswer: -0.22942462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/792 + 13073\/3960. Let g = 712487\/128760 - 1\/8584. Let c = g - 66\/5. What is the common denominator of u and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*5*318\/265?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*v - 377*v + 285802747 - 285802747.\nAnswer: -346*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-1) - (3 + -15)\/6. Let v(q) = 2*q. Let f be v(0). Let z = -2 - -8. Which is the nearest to f? (a) d (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 53*t**2 - 111*t - 1156. Determine n(-54).\nAnswer: 1922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q - 9*q**2 - 50*q - 381*q**2.\nAnswer: -390*q**2 - 58*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 5, -2, -4, 22301, -5 in decreasing order.\nAnswer: 22301, 5, -2, -4, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 8:05 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 18243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223*w**3 - 5*w**2 + 1437*w.\nAnswer: 1338*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1362 = 5*o + q, 2*o = -2*q + 903 - 355. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.74, -11\/2, -1, -303?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11680700\/9 smaller than 3.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267, -518, -781, -1062, -1367, -1702?\nAnswer: -2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -208512187, -208512188, -208512189?\n\"Answer: -y - 208512186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319, -337, -389, -493, -667, -929, -1297, -1789?\nAnswer: -2423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65328?\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13\/2*y**3 + 2\/3 - 4*y - 15\/2*y**4 + 29\/6*y**2 - 9\/2*y**5 = 0. What is y?\nAnswer: -2, -1, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3209 + 3237. What is the remainder when 123 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 35353350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*279731.\nAnswer: 1118924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 723296887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opg when three letters picked without replacement from xwgopigw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 9:09 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 18*o**2 - 9*o - 92. Let x be b(-19). Let f = -444 + x. Sort -2, 0, f, 3.\nAnswer: f, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.4, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.95749401 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32317876 by 8079469.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 2:16 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a - a + 3*a)*(498 - 1563 + 169 + 293 - 2115) to k*a + j and give k.\nAnswer: 5436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, k: 4, c: 4}. What is prob of sequence kck?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1499588.03 + 1499588.441999974. Let n = m - 0.412. Round n to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s - 3*s**2 - 8*s + 0*s + 3*s**2 + 0*s - s**2 + s**2 + s**2 + (-3 - 2 + 6)*(4*s**2 + s**2 - 3*s**2) + s**2 - 2*s**2 + 2*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288588 and 3463056.\nAnswer: 3463056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1327 (base 8) to base 4.\nAnswer: -23113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 7*i**2 + 6*i + 9. Let h be w(-6). Let z be (6\/h)\/((-2)\/(-15)). Suppose 5*j + 1 = -2*g, 5*g - z*j + 0*j - 50 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 8*l - 3. Suppose -5*f + 2*f = -6. Suppose 2*n + f*n = -4*h - 12, 3*n + 11 = -h. Suppose -i - 8 = -h. What is k(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 272 - 285. Let f(g) = -33*g - 210. What is the units digit of f(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/4)\/((-3)\/72*63). Which is the biggest value? (a) m (b) 0.1 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l - 22 - 110 = -0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/5)\/(8\/(-20)). Is a at most 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 12393.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.5 + -6.33. Let w = -0.237 + p. Let u = w - -0.007. Which is the nearest to 0? (a) 0.3 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41816156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqqqqzqcqqqqdiqiddq. Give prob of picking 1 c and 1 i.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111011011110001111001 (base 2) in base 6?\nAnswer: 222415121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3273660 and 865800.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 38 = 5*c, 0*c = -5*c + 2*l + 29. Suppose -2*b = -3*m - 4*b + 8, -3*m + 3*b + 3 = 0. What is the lowest common multiple of c and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285966951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 0.13, -0.1 in decreasing order.\nAnswer: 0.13, 2\/23, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or -7?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)\/x)**(-4\/7)\/(x**(2\/7))**(-32)*x**(-2\/17)*x*x*x**(-4\/9)*x*(x\/(x*x**(-1)\/x))\/(x*x**(-1\/3)\/x) assuming x is positive.\nAnswer: x**(15718\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/((42\/(-875))\/((-76)\/5)). What is w rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -11?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 1) + (-182 + 191 - (2 - (6 - 16)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 34769385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100.26 - -4.86. Let q = -13.4 - h. Let r = q + -81.57. What is r rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - -427754?\nAnswer: 427732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-2 - 2 + 3)*(-1 + 2 + 1)*(0*w + 2*w - 4*w)*(1 + 0 + 1)*(5 + 3 - 6)*(-3 + 8 - 12).\nAnswer: 112*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 1:42 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126216 is divided by 4071.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40\/47 + -801\/329. What is the common denominator of j and -15\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 45 + 21 = -5*a, 0 = 5*j + 3*a - 196. Suppose 0 = -5*g - 4*z + j, -2 = -g + 5*z - 6. What is the smallest value in g, -0.5, -4, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -39. Let l(i) = 10*i**3 - 2*i + 1. Let j(k) = k**3 - k + 1. Let r(g) = t*j(g) - l(g). Find the second derivative of r(s) wrt s.\nAnswer: -54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbebbbbbbbb. Give prob of picking 2 b.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1460.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4484 and 3154?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26054371?\nAnswer: 7, 3722053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than or equal to 0.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 199952134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - x - x)*(60*x - 78*x - 56*x - 110*x).\nAnswer: -368*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3965410 to the power of 1\/2, to the nearest integer?\nAnswer: 1991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 130*j + 775.\nAnswer: -5*(j - 5)*(j + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-25))\/(d\/(((d**(-3\/5)*d*d)\/d)\/d)))\/(d**(-6)\/((d*d**(2\/3))\/d)) assuming d is positive.\nAnswer: d**(-269\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7602665 divided by 2\nAnswer: -7602665\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -1\/35*l**6 + 1\/70*l**5 + 1\/21*l**4 + 0 + 0*l**3 + 0*l**2 + 5*l. Let i(j) = 0. Calculate j.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(1\/2)\/n)*n*(n*n*n*n**1*n)\/n)\/(n**(-1\/2))**(-49))\/(n**(-5)\/(n\/n**(-1\/2)))**(-13\/5) assuming n is positive.\nAnswer: n**(-349\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 4:53 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*z - 3*z. Let a be (-8)\/5*(-15)\/z. Which is smaller: 0.07 or a?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*n**3 + 2*n**4 + 92*n**2 - 93*n**2 - n**4 in the form v + f*n**4 + y*n**2 + p*n + t*n**3 and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3010607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:27 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 18*b - 3. Let v(r) = -r**2 - 12*r - 2. Let m(k) = -2*n(k) + 3*v(k). Let s(l) = -3703*l. Calculate m(s(w)).\nAnswer: -13712209*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {f: 2, y: 1, x: 2, i: 1, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 836893562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14164, 28332, 42500?\n\"Answer: 14168*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 5 + (4 - -3) + (18 - -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12456338.\nAnswer: 2, 2141, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -362187.000056 + 362191. Let w = j + -4. Round w to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5261.0085ns to hours.\nAnswer: 0.00000000146139125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/((-28)\/176) + 4 + -2. Let s = p + -40. Solve 0 = 3*u + 6 + s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/99 and 58\/866217.\nAnswer: 2598651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -157*t**2 + 4. Let j(w) = 420*w. Give y(j(b)).\nAnswer: -27694800*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiciiiuiii. Give prob of sequence cucc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0937 * -18\nAnswer: -1.6866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(3\/7))**(-14))**(-2\/11))**(-1) assuming t is positive.\nAnswer: t**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 17*y - 13. Determine z(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1253392*y**2 - 1253391*y**2 - 3 + 60*y**3 - 2*y + 3 in the form i + z*y + b*y**3 + x*y**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9)\/((6\/2)\/18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -96 - (16 + -29 - -20 - 13) - (-1 + 3)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34121.\nAnswer: 149, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261273 (base 8) in base 11?\nAnswer: 2211a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3216 divided by -12?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -65792.5, -1\/8?\nAnswer: -65792.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) -1\/4 (c) -3 (d) -1\/7 (e) -6\/11 (f) -1.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -5 + (sqrt(99) + sqrt(99) + 0 - sqrt(99)))**2 - (-5 + (3*(-2 + sqrt(891)))**2)) + -4.\nAnswer: -7955 + 324*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = t + t. Let f(z) = 48*z + 6. Let m be f(-2). Let g = t - m. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162878 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(171)*-4)\/(sqrt(27)\/(sqrt(3) + -5*sqrt(12)\/sqrt(4) + sqrt(3))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q = -13*q + 12, 3*y - 5*q = 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.955 - -10. Let c = z + -0.0477. Round c to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -6 - (0 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**3*q - n**3*z - 2*q*z**3 + 1443*q*z**2 + 8632*z**3 - z wrt q?\nAnswer: n**3 - 2*z**3 + 1443*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/(-6))\/(2\/6). Let o(d) = d**3 - 18*d**2 + 19*d - 16. Let w be o(17). Let i be (-196)\/a - w\/30. What is the highest common divisor of i and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.49 minus 7?\nAnswer: -8.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795*z + 1173 = 9918 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -2903*v**5\/20 + 1109*v**3\/6 + v**2 - 75*v + 5. What is the first derivative of t(m) wrt m?\nAnswer: -17418*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) -3\/7 (c) 1 (d) -37.622 (e) -4 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*c**2*k**3 + 153*c**2 + 64*c*k**3 - 1816*c*k**2 - 17*k**3 wrt k.\nAnswer: 126*c**2 + 384*c - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5 - 27988*t**4 + 364158*t**3 - 336168*t**2 = 0. Calculate t.\nAnswer: -14007, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - t**3 + 10*t**3 - 31*t**3 - 8*t**3 + (-4*t**2 + t**2 + 2*t**2)*(-2*t + 0 + 0) as b + o*t**3 + k*t**2 + u*t and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 894011, 1788036, 2682061, 3576086, 4470111, 5364136?\n\"Answer: 894025*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 50 - 3*c - 50. Let v(k) = -233*k**2 + 2 - 2 + 231*k**2. What is v(z(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**5\/20 + v**4\/2 - v**3 + 6*v. Let a be o(-7). Let c(u) = 3*u + 16. Let t be c(a). Which is greater: t or -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o**3 + o**2 - 209 wrt o.\nAnswer: -12*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -c - 127, -5*c - 63 = -3*v + 56. Suppose 3*t + 26 + v = 0. Let o = 31 + t. What is the greatest common divisor of 16 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -40 + (1 - -20).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 1:46 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -2*n**5\/15 + n**3\/2 - 846*n**2. Let f(o) = 7*o. Determine f(q(w)).\nAnswer: -56*w**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaaaaaxaxxxxaxww. Give prob of sequence xx.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -710 - -709.5. Put i, -4, -19 in increasing order.\nAnswer: -19, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/11 - 206*b\/11 + 208\/11 = 0?\nAnswer: -104, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/10 and 27\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 121\nAnswer: -48.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/13 (b) 26 (c) -23 (d) -4\/5 (e) 2\/5 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*sqrt(153)*-6*-5 + (-1 + sqrt(272))*4*-3)**2.\nAnswer: 11808*sqrt(17) + 4115234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435?\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 858 (b) -2 (c) 4\/11 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 92?\nAnswer: -73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5265341865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222 + 221. Let i be n\/(-12)*3 + 0. Suppose -3*g - 6 + 3 = 0. What is the closest to g in i, -5, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(171)).\nAnswer: 6 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 14*j**2 - 14*j + 13. Let p be h(13). Suppose 2*l + 0*l - 22 = -4*w, w - 2 = p. Solve 5*y - g - 21 = 0, 0 = 3*y + 5*g - 0 - l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(647 - 3*d**2 + 654 - 1323).\nAnswer: 6*d**2 + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -731*s + 748*s - 527. Calculate the remainder when 673 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1, 0.52, 5\/2 in ascending order.\nAnswer: -1, 0.2, 0.52, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3293 and 8544?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(567) - (-2*sqrt(14)\/sqrt(2))**2 - (2 + 5*(-1 + sqrt(7))*3))*1.\nAnswer: -33*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16081*d + 16182*d + 16104*d - 48361*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let c be z(-2). Let n = 0 - c. Solve -2*o**2 + 2*o + 2*o**4 - n*o**3 + 0*o**3 + 0*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 1600, 5571, 13302, 26047?\nAnswer: 45060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and 4415958.\nAnswer: 4415945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5 - 10*j**4 - 14*j**3 + 2*j**2 + 16*j + 8 = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2 - 6*d + 6. Let j(r) = -r**2 - 11*r - 9. Let n be j(-10). Let i(a) = a**2 - a + 1. Determine n*g(s) - 6*i(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u**2 - 56*u. Let j(w) be the second derivative of -w**4\/12 + 3437*w. Calculate r(j(k)).\nAnswer: 8*k**4 + 56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 33*i + 51. Let v(k) = k**2 - 11*k - 17. Let p(r) = 6*b(r) + 17*v(r). Suppose -3*d + 5*a - 35 - 19 = 0, -4*d - 49 = a. Is p(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -98*z**3\/3 - 1974*z**2 - 39762*z + 547. Suppose s(i) = 0. Calculate i.\nAnswer: -141\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 9*r**2 - 3*r - 11. Let v be m(-9). Suppose -5*n = -u, 0 = -4*n + 5*n + 3*u - v. Let w be (-3 + 0 - -1) + 2. Is n smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from {k: 1, i: 1, v: 2, b: 2, w: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.776507ng?\nAnswer: 0.000000000006776507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-186)\/(-4) + -3 + 3 + -3. Let n(k) = 3*k**2 + 5*k - 5. Let w be n(-5). Let v = w - u. Which is the closest to 0? (a) -5 (b) v (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**6\/120 - 3*f**5\/20 + 3*f**4\/8 - 7*f**3\/6 + 9*f**2. Determine i(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -23*o**2. Let u(r) be the third derivative of -181*r**2 + 0 + 0*r**3 + 0*r - 3\/8*r**4. Calculate q(u(c)).\nAnswer: -1863*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, p: 9}. What is prob of picking 1 p and 1 f?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -311333?\nAnswer: 311330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2864633, -2864625, -2864611, -2864591, -2864565, -2864533?\n\"Answer: 3*m**2 - m - 2864635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374790037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 + -115.85. Let o = t - 1.14825. Let g = -11 - o. Round g to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.4 (c) -6019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31180250 times -12?\nAnswer: -374163000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jql when three letters picked without replacement from {l: 2, j: 2, q: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -215. Let t = p + 35. What are the prime factors of t?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -46?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = -7. Suppose 2*v = g*v + 92. Let l be v\/(-14) - 4\/14. Which is the third smallest value? (a) 0 (b) -1\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142906753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6564 + -12256?\nAnswer: -22153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(6480) - sqrt(6480))*2)\/(sqrt(225) - (sqrt(225) + sqrt(225) + 4*(sqrt(225) + (-2*sqrt(225) - sqrt(225) - sqrt(225))))).\nAnswer: -72*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -277123649 less than -277123647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 32*w**2 - 52*w - 14. Let c(p) = -16*p**2 + 28*p + 6. Let i(t) = -11*c(t) - 6*x(t). Find the second derivative of i(f) wrt f.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 7*t - 3. Let q(s) = s**3 - 4*s**2 + 2*s - 6. Let j be q(4). Solve -4*g = -t*g - j*l - 3, -5*g = 5*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h = c - 11, 3*c - 2*h - 13 = 0. Suppose 0 = 2*n, -n + 51561 = c*y - 2*n. Let b = -8187 + y. Round b to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 2686314150*h + 360814185624511125.\nAnswer: 5*(h - 268631415)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3708, -4158, -4634, -5130, -5640, -6158?\n\"Answer: d**3 - 19*d**2 - 400*d - 3290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -646 + 106*u - 554 + 260*u - 43*u wrt u.\nAnswer: 323","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*-3*(sqrt(756) - sqrt(756)*1 - -1*sqrt(21)*-2)\/((sqrt(36)\/sqrt(2)*4)\/sqrt(6)).\nAnswer: -3*sqrt(7)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 - 621626*v\/3 - 2486480.\nAnswer: -(v + 12)*(v + 1243240)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 4*w**2 + 8*w - 4. Let r be 9*(-3)\/(-36)*4. Suppose -4 + 19 = r*q. Determine m(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 7395?\nAnswer: -22185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -188*w - 538. Let z be t(-3). Let l(h) = -h**3 + 3*h + 1. Let g(s) = 4*s**3 - 13*s - 3. Determine z*l(m) + 6*g(m).\nAnswer: -2*m**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21*(-620803)\/(-406) - 1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -30 - (3\/1 - 0). Let w = v + 123. What is the greatest common divisor of 36 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.4 (c) 350\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 2\/5 (c) -1457 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (55 + 5) - (3 - 50)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -4. Let n be (-1 - 0)\/(1\/x). Suppose -2*f = -2 - 8. Solve -f*p + n = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13511522 (base 7) in base 15?\nAnswer: 19e5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-8))\/(20\/30*288\/2560).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 + 26*f**2 + 6*f - 2. Let g be h(9). Which is the closest to 0? (a) 2 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 182, 740, 1854, 3710, 6494, 10392, 15590?\nAnswer: 22274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - c - 4*c = 0, -4*c = -j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9438*z - z**2 + 9438*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 5*l + l - 3*l. Let r(j) = -j. Let y(n) = 7*b(n) + 4*r(n). Let o(k) = k. Give y(o(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1179 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 9*k**2 + 0 - 1\/24*k**4 - 1\/3*k**3 + 0*k. Give j(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182.63 + 4.37. Let p = v + -187.0081. What is p rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 211?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(6)*5)\/(sqrt(9)\/(sqrt(18)\/sqrt(6))) + -5*((-1*sqrt(5)*-2 - sqrt(5))*6 + 2))**2.\nAnswer: 500*sqrt(5) + 3225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 + i**3 - 3*i**2 + (0*i**2 - 2*i**2 + 3*i**2)*((0 + 2 + 0)*(3*i - 2*i - 4*i) + (2 - 2 + 2)*(i + 0*i - 4*i)).\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7190783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**21*f*f*(f*f**(-24)*f)\/f)\/(((((f*f\/(f*f*f**(-2\/65)))\/f)\/f)\/f)\/f**0) assuming f is positive.\nAnswer: f**(193\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2\/33)*r))**(-1\/5) assuming r is positive.\nAnswer: r**(-2\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-2 + 2 + 3)*(-o - 2*o + 2*o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6661457608.\nAnswer: 2, 13, 19, 3371183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -11 (c) -1623 (d) 2\/7 (e) 0.1 (f) 1\/2 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2054 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/214 in 3, 0.051, 0.1, 4?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3473848, -3473860, -3473872, -3473884?\n\"Answer: -12*y - 3473836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11320.\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2097, -2102, -2111, -2124, -2141?\nAnswer: -2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.34 - -10.\nAnswer: 9.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*w + 3*w - 36 = 0, 174 - 186 = k - 4*w for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 + 1 = 0. Let o(c) = -3*c**2 + c. Let k be o(a). Is 5 a factor of 4\/((-16)\/5)*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4769\/21 - -227. Let i = -3727\/7 + 3735\/7. What is the second smallest value in h, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 52. Suppose 3*b = -4*z - 17 + 4, 3*z = -12. Let f = y + b. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44600526683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + 0 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 3*o**2 - 7*o - 3. Let m(b) = 2*b**3 - 8*b**2 + 20*b + 8. Determine -8*i(s) - 3*m(s).\nAnswer: 2*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 - 12*z - 8. Determine m(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2012 and 0.5?\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -45*t**2 + 0 - 1\/24*t**4 + 0*t + 1\/60*t**5 - 1\/6*t**3. Let i(c) = c**3 + 4*c**2 + 4*c. Let x be i(-3). Determine k(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316015919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 17*m**2 + m. Let y be o(1). Suppose 0 = 5*p - y + 8. Factor -1\/2*k**p + 1\/2*k + 0.\nAnswer: -k*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49302151 is divided by 146.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s = 32*s - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 14. Let f be h(12). Solve -f*s - 5*r - 10 = s, -25 = -2*s + 3*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -8\/3*o**3 - 1\/12*o**4 + 0 + 230*o + 0*o**2. Let i(q) = -2*q. Determine s(i(v)).\nAnswer: -4*v**2 + 32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4)*2*-2)\/(1*sqrt(242)))**2 + 5 + 1)*-6.\nAnswer: -4548\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3017*h + 2. Let c = -5 + 1. Let z(g) = -g + 2. Let f be z(c). Let l be x(f). What is l rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 26*d + 1511. Let t be x(28). Let s = -51\/200 + -3\/25. Sort 0.4, 2\/9, t, s.\nAnswer: t, s, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -16. Suppose m*n = -6*n - 30. Is -3 - (-355 + 5\/n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r - 1. Let k be b(-1). Let v be (129\/33 + -4)*118. Let m = v - -106\/11. Which is greater: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -24. Let y(a) = 4*a**2 - a + w*a - 6*a**2 + 9*a**3. Is y(2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192625 is divided by 144.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**5\/5 + 3*g**4\/2 - 13*g**3\/3 + 6*g**2 - 4*g - 31. Find t such that c(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -s + 1992652, -w = w - 4*s - 3985280. Suppose -3*o - 5807352 - w = 0. What is o rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 610586049 to the power of 1\/3, to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**3\/3 - 491*s**2 + 234681*s - 107919571\/3 = 0.\nAnswer: 331, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 298513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Let c be 3 + (-4)\/4 + r. Find the first derivative of -3 + c + 5*l + 1 + 0 wrt l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3 + 10 = i, -4*i = -3*f - 13. Let d be 4 + (3 - 171)\/f. Let x = 8 + d. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 7:21 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1727334538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422111, -422215, -422321, -422429, -422539?\nAnswer: -422651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -t - 20, -t - 4 = 4*t - 4*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 10:37 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 569116.9mg?\nAnswer: 569116900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(448) + -2)*-6 - (0 + 1*(sqrt(70)\/sqrt(10) - sqrt(7))*2))**2.\nAnswer: -1728*sqrt(7) + 16452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -19774.\nAnswer: -3\/19774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 12. What is the second derivative of 8*r - 2*r**2 - 23*r**3 + 2*r**v + 17*r**3 wrt r?\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 226 = -3*z, 4*z + j - 348 = -64. Let f be (-8)\/(-28) - 20\/z. Sort f, -2, 0.08, 4.\nAnswer: -2, f, 0.08, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7124474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 51 = -l, -347*m - 369*m + 1411 = -799*m - 4*l + l for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.2 and -25842568.1.\nAnswer: -25842562.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 68*a - 1. Let d(h) be the second derivative of -h**4\/12 - 9*h. Give j(d(o)).\nAnswer: -68*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**6\/24 - 3*o**5\/20 + o**4\/12 + 16*o. Let h(v) = 0. What is v?\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*l - 157*l = 168. Calculate the remainder when 151 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 819319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 1 k when three letters picked without replacement from {k: 1, w: 3, o: 2, j: 3, r: 3, v: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.9 - 31.1. Let p = c - -71. Let n = p + -29.999939. What is n rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/8 - -7\/8. Let o = 24.08 + -20.08. Is o less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 10282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/5 and 7\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**5 - 6*p**4 + 45*p**3 + 60*p**2 - 132*p - 144 = 0?\nAnswer: -4, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 c when four letters picked without replacement from {m: 1, k: 1, c: 1, v: 1, i: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15579 is divided by 3101?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(-3)\/(-63)*(-15 - -1). Put -4, i, 0, -1 in decreasing order.\nAnswer: i, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:22 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24*(-19)\/380)\/(2\/(-10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 divided by 14.\nAnswer: -143\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 2 = -5*u. Let z(k) be the first derivative of k**4\/4 + 7*k**3\/3 + k**2\/2 - 3*k - 1. Is z(u) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 + (-4986)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.913927 - 1.1.\nAnswer: -2.013927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -24. Let r(k) = 14*k - 11. Let i(n) = 5*n - 4. Calculate p*i(g) - 4*r(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -612*w*x**4 - 2*w*x**2 + 2*w + x**4 - 146*x**2 wrt x.\nAnswer: -14688*w*x + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by 4?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*z, a - 4*z + 23 = 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*z - 518, 3*z - 4*t + 3*t + 790 = 0. Let g = 317 + z. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 13 + 0*l + 27. Does 26 divide f(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 68.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 2:45 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 0) + (-8 - -4))*(-31 + 57)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, and 1 w when three letters picked without replacement from dadhddwvaddddapv?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 3*x = 49 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 9:59 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((4*(0 + sqrt(112)))**2 - -5*(sqrt(112) + -1)**2 - (((-1 + sqrt(1008))*-1 + sqrt(1008))*3)**2).\nAnswer: -40*sqrt(7) + 2350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + 2*o + 6, -5*k - 3*o = 1. Suppose -2*s = -f, -3*s = -f - k - 1. Suppose 3*j - 50 = -f*u, 31 = 3*u - 5*j - 21. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -475, -3, 0.1 in descending order.\nAnswer: 0.1, -3, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x**2 + 34*x - 43*x - 4*x**3 + 21*x = 0. What is x?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-2*b + 4 - 4)*(-22*b - 101*b**2 + 49*b**2 + 53*b**2 + 1).\nAnswer: 2*b**3 - 44*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 62.66. Let k = d + 0.47. Let i = k - -0.3. Is i at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1885384 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 + 4*v**2 + v - 8. Let h be y(2). Let g(m) = 17*m + 6. What is g(h)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17211 and 12.\nAnswer: 68844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 959603369 to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2. Let x(z) = -288*z**2. What is x(u(v))?\nAnswer: -2592*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - d**2 + d**2 + 5*d - d. Let c be v(-3). Let k = c - -36. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 14333?\nAnswer: -14332.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1101011101 (base 2) to base 10\nAnswer: -861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1082260 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = s - 11, -3*s - 2*b = s - 34. Suppose -j + 18 = -q, -5*j + 51 = q - s. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -296a1 (base 11) to base 9.\nAnswer: -63665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -245, -261, -259, -233?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i - 780 = 38*i. Suppose -i = -5*j - 25. Is (-3 - j\/(-6))\/((-4)\/(-216)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152846.\nAnswer: 2, 76423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1.9, 6, 678, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 20 - 4 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38303 + -38293.2. Let t = -1 - 2. Which is the second biggest value? (a) t (b) 0.1 (c) -3\/8 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 - 3*a + 5. Let k(c) = c**3 + 8*c**2 - 8*c + 14. Suppose -978*y + 973*y + 5*m = 70, -2*m = -4*y - 44. Determine y*v(p) + 3*k(p).\nAnswer: 3*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 881476053 to the power of 1\/3, to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**7\/1260 + c**6\/90 + c**5\/20 + 7*c**4\/3 + 40*c. Let o(d) be the third derivative of h(d). Find u such that o(u) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1584) + 1 + sqrt(11)*2 + (sqrt(539) + 1 + sqrt(539) - sqrt(539)) + -1.\nAnswer: -15*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 2 + 18 = 0, -5*u + 16 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**4\/24 + b**2 + 3*b. Let u(x) = x - 10. Calculate u(g(y)).\nAnswer: y - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - 2 - (-5 - -4). Suppose -36500 = -2*z + w*z. What is z rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21877273 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 15*g**2 - g + 17. Let q be d(15). Suppose w + 1 = -4*w + 4*z, -6 = q*w - 3*z. Solve 4*y = -3*n + 6 + 6, -w*n = 2*y - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*w - 1609, 1209 = 3*w - 0*w - 3*q. Let g be (-18)\/(-27) + w\/3. Let j = -81 + g. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffmqffzfffffq. Give prob of sequence zfm.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 23, -1, 8968 in increasing order.\nAnswer: -1, 3, 23, 8968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/5)*t**(2\/7))\/(t*t\/(t\/t**(-4))*t**(-1)) assuming t is positive.\nAnswer: t**(178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 9, f: 7, y: 2}. Give prob of picking 1 f and 3 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-74)\/(-9) + (-2)\/9. Let v(s) = -s**3 + 7*s**2 + 9*s - 8. Let q be v(m). Let d(x) = -4*x - 1. Let y be d(-1). Solve q*z + 9 = y*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than 201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 7*a**3 - 2 - a**3 - 7*a**3 in the form s*a**3 + t + j*a**2 + u*a and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-540)\/216)\/(2\/(-4)). Solve 0 = 4*q + a*r - 2*r - 35, 0 = -q + r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, 11, 22, 31, 38, 43?\n\"Answer: -a**2 + 16*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*o + 4 = 0, 4*j + o + 20 + 6 = 0. Let s = 11 - j. Calculate the remainder when s is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 100, 148, 196, 244?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -351*r - 353*r + 636*r - 52. What is the smallest common multiple of 44 and w(-2)?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (93 + 591)*(1 + 3). Suppose -75*y + s = -57*y. What is the greatest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 145*i**3 - 48*i**3 - 47*i**3 - 48*i**3.\nAnswer: 2*i**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 882 is divided by 179.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 138088 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: Suppose 5*q = 4*w + 40, -6*q = -3*q - 4*w - 32. Let u = 4 - -6. Suppose o - 3 = -2*d, o + u = d + q. Calculate the highest common divisor of 4 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 562*m**6\/5 + m**4\/6 + 7*m**3\/2 + 7*m**2\/2 + m - 456. Find the third derivative of n(i) wrt i.\nAnswer: 80928*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 9*y**2 - 44*y + 975. What is u(13)?\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m**2 + 52*m - 44. What are the prime factors of g(11)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10193999.09 rounded to the nearest 100?\nAnswer: -10194000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51864488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from drcwdnow?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 19 = 6, -4*a = -2*f. Calculate the greatest common divisor of 40 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273177 at most 273177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48327850 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1804*z**3 - 792*z + 8. Let b(n) = -3610*n**3 - 1583*n + 18. Let t(j) = 4*b(j) - 9*y(j). Find the second derivative of t(s) wrt s.\nAnswer: 10776*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - w**2 - w**2 + (2 - 2 + w)*(3 - 3 - w) + 0*w**2 - 3*w**2 + w**2 - 3*w**2 + w**2 + 4*w**2 as r + o*w**2 + y*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, 0, -44682?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 304317, 608573, 912841, 1217127, 1521437?\n\"Answer: s**3 + 304249*s + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.596739 nanograms?\nAnswer: 0.000000000596739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1 + -2)\/((-21)\/3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-1 + -1 - -5). Suppose 0 = -0*k + u*k - 18. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141*d**2*s**2 + d*s**2 - d*s*x - 2*d*s + 21*s**2 - 3*s*x + x with respect to d.\nAnswer: -282*d*s**2 + s**2 - s*x - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -267, -577, -983, -1467, -2011, -2597?\nAnswer: -3207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 301698611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1 + 2*o + 13 - 3. Let s(z) = z + 12. Let d(a) = -2*p(a) + 3*s(a). What is d(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4\/(-14) - (-86)\/7 and 96\/(-33)*1507\/(-274).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**4 + 624*y**3 - 33381*y**2 + 204120*y = 0.\nAnswer: 0, 7, 81, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 186\/(-310) - 56\/30*(-18)\/(-4). Let x(s) = 4*s**2 + 44*s + 58. Give x(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.1569 rounded to 0 decimal places?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10073 or -10052?\nAnswer: -10052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 233*q**2 - 74*q - 358. List the prime factors of r(-5).\nAnswer: 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -82.6 * 88.\nAnswer: -7268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q + 2*q)*(3*q - q + 3*q) - 5428 + 5428 - 95*q**2.\nAnswer: -85*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 26 - 1 = 0. Suppose -f*i + 638 = -21718. Is 46 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 330331002?\nAnswer: 330331000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - x + 7*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -1\/15*a**6 + 8*a**2 + 0*a + 5\/12*a**5 + 0*a**3 + 0*a**4 - 1. Let p(d) = d**3 - 3*d**2. Calculate 6*i(y) + 51*p(y).\nAnswer: 3*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -561286.3 - -561286. Suppose 5*i - 3*y = 37, -2*i + 8*y = 4*y - 12. Let h be (-10)\/i + (0 - -1). Which is the closest to -15? (a) h (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -43*m - 1. Let p(k) = k**2 - 130*k - 3. Give 2*p(a) - 7*u(a).\nAnswer: 2*a**2 + 41*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3258, -6363, -9456, -12531, -15582?\n\"Answer: m**3 - 3112*m - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*d + 125*d - 16 + 0.\nAnswer: 208*d - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*l + 3)*(-1 + 2 - 15)*(-18 + 18 - 3*l)*(0 + 6 - 3 + 7) as n*l**2 + w*l + u and give n.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 600379673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhjpyphpvzpph. What is prob of sequence yj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63341, 63298, 63227, 63128, 63001?\nAnswer: 62846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-14))**(2\/9) assuming i is positive.\nAnswer: i**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + 2 + 2) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -16*m**2 - 2533*m - 781. Determine a(-158).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -245 + 247. Let f(j) = 1 + 5 - 5 + 2*j**2 + 0*j**c. Determine f(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 0.02019.\nAnswer: -0.17981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, -105069, -5 in increasing order.\nAnswer: -105069, -127, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2628.2 + -2628. Which is the second biggest value? (a) 0.4 (b) k (c) -1.1 (d) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 >= -16.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*v + 3*r, -v - 2*r = -r - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 + 8293*p**2\/3 - 15218995*p\/3 - 2803391283.\nAnswer: -(p - 4367)**2*(p + 441)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*g**2 - 48\/5 - 16\/5*g.\nAnswer: -(g + 4)*(g + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 695 - 655. Calculate the greatest common factor of 25 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, t: 1}. What is prob of sequence rr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 0, -3*t - 9 = -a + 2*a. Let i(g) = g**3 + 5*g**2 + 6*g + 2. Let k be i(t). What is the remainder when k - (-4 + (4 - 64)) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94 or 88.8?\nAnswer: 88.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 201893903*w + 2 + 201893882*w.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(75) + 5 + 3 + sqrt(75))**2.\nAnswer: 120*sqrt(3) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 7*j**2 - 16*j + 10. Let d be r(4). Is 5353\/1 - (6 + 2 + d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 3, j: 1}. Give prob of sequence ej.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from wwwddwwdwdddwdww?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-4*(1 + sqrt(275)) - 1*(sqrt(132)*-2)\/sqrt(12))*4)**2.\nAnswer: 2304*sqrt(11) + 57279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(20) - sqrt(2000)*2)\/sqrt(4) - 5*(sqrt(5) + -3 + 1))**2)*-2.\nAnswer: -5964 + 960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309169?\nAnswer: 7, 29, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**4\/24 + w**3\/6 + w**2. Does 5 divide p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -31, -56, -97, -160, -251, -376, -541?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 divided by -149705?\nAnswer: 198\/149705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-35))\/(-1)*(-1401)\/934?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(91\/65 - (-4)\/(-10)). Let w be -380*r\/((-5)\/(-2)). Calculate the greatest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 122.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r + 8. Let k be p(2). Let s be (-21)\/(-6)*8\/k. What is the smallest value in -0.4, -3, s, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 168*i**2 - 10*i - 4. Let h(a) = 112*a**2 - 7*a - 3. Let r(q) = -7*h(q) + 5*n(q). Is r(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 115 + -114?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 138*v - 140*v + 2*t + 1 - 1, -6 = 2*t for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n + 6*n - 36 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1674\/(-20925))\/(7\/385).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(-28\/3)\/v)\/v))\/v**(-8\/9) assuming v is positive.\nAnswer: v**(119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 55*u + 35. Let z(f) = -101*f - 70. Let n(d) = -11*y(d) - 6*z(d). What is n(-36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-2)*(-4)\/(-6). Let v be ((-1 - 1) + k)\/2. Let d = 51 - v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 3*g + 22, l - 2*g + 8361 = 8371 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/8955 and 131\/14817540.\nAnswer: 44452620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3\/11 + 56*a**2\/11 - 54*a\/11 = 0.\nAnswer: 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five eighths of a millennium?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 6?\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13294*o**5\/9 - 281350*o**4\/9 - 12368*o**3\/3 + 187056*o**2 + 127968*o + 22176 = 0.\nAnswer: -2, -6\/17, 66\/23, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 17608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 2*f**3 - 11*f + 14*f**2 + 3*f**3 - 5*f**2 - 9. Let o be w(-9). Solve -o = u - 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9132 < -5841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(2 - 7 - 3)*(-1 + 1 - l).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 - 5.3. Let m = -0.4 - p. Let w = 2.3 - m. Is -1 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, t: 2}. What is prob of sequence atta?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3764 = 4*j, 5*j - 4*f - 6054 = -1370. List the prime factors of j\/6 - 65\/39.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 7 = -1. Let v be (-1)\/o - 378\/(-12). What is the highest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f - 6. Let x(k) = 11*k - 9. Let j(w) = -8*d(w) + 5*x(w). Let n be j(0). Suppose -2*a = n*a. Solve a = -q - q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 662254328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(2*x**2 + 4*x - 4*x) + (-1 + 0 - 2)*(0*x**2 - 4*x**2 + 2*x**2).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*z = -4*z - 44, -3*y = 4*z - 42. Let f = y - 5. Solve 0*b + f*b + 4*u = 33, -4*u - 2 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i. Let n(l) = 1. Let b(c) = -m(c) + 18*n(c). Let z(o) = -184*o - 186*o - 186*o - 203*o + 762*o. Calculate b(z(q)).\nAnswer: -9*q + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -15 - (73 - 46)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28306 smaller than 28315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/83, -0.3, -11, -3, -6\/13 in descending order.\nAnswer: 2, -2\/83, -0.3, -6\/13, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6926055)\/692*64\/6. Round f to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50735608 divided by 616\nAnswer: -82363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - y - 5 = -13*c, -25 = -5*c + 5*y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, -1\/5, -2.\nAnswer: -103, -2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5729 is divided by 87.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -5 (c) -7 (d) -1 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n - 24. Let z = 26 - n. Let t = 0 + 12. Calculate the smallest common multiple of t and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 11:35 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -691909, 3, 11, 0.\nAnswer: -691909, 0, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 4*d**2 + 5*d + 7. What is the remainder when 134 is divided by k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396481729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/3 + 11608*x + 34822\/3 = 0.\nAnswer: -17411, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2158*d - d**3 - 2158*d + 1.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/6523, -51, -0.1, 3, 13\/5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 0, -4 in increasing order.\nAnswer: -4, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 15. Let j(d) = -2*d + 30. Let t(h) = 3*j(h) + 5*w(h). Let o = -69 - -98. What is the remainder when o is divided by t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**2 + 1945*t + 3910 = 0.\nAnswer: -2, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3 - 6*r**2 + r + 6 = 0. Calculate r.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 126\/(-16))*(1 - 5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -99?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132530?\nAnswer: 2, 5, 29, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1947)\/(-88) + -1*2\/16. Suppose 1980 = -11*j + c*j. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54\/12 - 2\/4. Let o = n - 7. Put 0, o, 3 in decreasing order.\nAnswer: 3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 24 = 2*v - 3*p, 2*p - 5 = 5*v. Let d be (-1131)\/(-221) + (-4)\/34. Let s be 10\/1*(-8)\/16. Which is the nearest to v? (a) d (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 42, 74*c + 3*a - 105 = 88*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011111001000 + -111?\nAnswer: -101011111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100 + -10011?\nAnswer: -1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3977a + -1?\nAnswer: -3977b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4486 + 178?\nAnswer: 4631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -5 (c) 17 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (444\/(-3663))\/((-2)\/(-9)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117 - 32. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116*b**2*j**2 - 1125*b**2 + 2669*b*j**2 - 131 wrt j.\nAnswer: 232*b**2*j + 5338*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Let a(t) = t**2 - t - 1. Let q be a(3). Suppose -10 = q*x + m + 6, -3*x + 8 = 5*m. Sort x, -5, l.\nAnswer: -5, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 9. Is 124\/(-6)*(-105)\/d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 400.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**4 - 12880*d + 2*d**3 - d**2 - 14 + 25761*d - 12884*d to the form v + m*d + q*d**3 + t*d**4 + z*d**2 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 24 = 841. Let h = -203 + k. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280 + 280 - 5*r + 0*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(1\/41)*m*m)*m**(-18)\/m)\/(m\/m**20*m*m\/m**(1\/7)) assuming m is positive.\nAnswer: m**(-827\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661709 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3825675 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 4640322 and 4640330 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -312 and -312 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 36593151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0559 + 0.9441. What is the third smallest value in 0.0486, q, -3\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/200 and -117\/3112250.\nAnswer: 12449000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/91 in -1\/2, 0.07, 0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 44*f**2 + 160*f - 192.\nAnswer: 4*(f - 4)**2*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -10. Let p = -16 - j. Which is the second smallest value? (a) p (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3901 a factor of 678910535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122344 + -124?\nAnswer: -122512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 26. Suppose y - 5 = d - 5*d, -2*d - z*y = -6. Let k be (-1)\/(-1*(1\/(-2) + d)). Solve 5*c - 3*j = -19, k*c = 3*c + 4*j + 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 624598018 and 18?\nAnswer: 5621382162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2115076 + -0.7.\nAnswer: 2115075.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Suppose -4 + 2 = -4*k - 5*p, -4*p + 1 = m*k. Solve 13 = -k*d + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22963688?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 12:26 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (4 + -5) - -1) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2956*-3\nAnswer: -8868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088 less than -7075?\nAnswer: -7075.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 8*y**2 + 2. Let i be m(8). Suppose -i*t = -6*t + 8. Solve 5*b + t + 13 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*n + 270, -i + 4*n = -0*n - 29. Let h = 87 - i. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 2, 5*l + z + 5 = -18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -1. Let a(q) = -4*q**3 - 8*q**2 - 13. Let r(i) = -i**3 + i. Let b(w) = a(w) - 5*r(w). Calculate the remainder when b(9) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -9. Let i be (-137712)\/(-56)*7*v. Is (-2)\/(-9) + i\/(-54) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 + -0.9. Let g = -356\/5 + 71. What is the second smallest value in -2\/5, g, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1011*z**2 + 4*z. Let v(y) = 296*y. Give v(r(f)).\nAnswer: 299256*f**2 + 1184*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1536 = 3*p - 9*p. Let w = 318 + p. What is the greatest common factor of w and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*v + 2286189*h**2 + 34360551*v wrt h.\nAnswer: 2*h*v + 4572378*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s + 4. Let u be j(0). What is the nearest to 1\/4 in u, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -89*y**2 + 8*y + 49. Let h be c(7). List the prime factors of (1 + -13)\/(14\/h*3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - i + 2*f, -3*i + 4*f - 11 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -68*b + 619. Let k be t(8). Calculate the highest common divisor of k and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23688)\/(-234) + (-462)\/143?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/20 + 19*h**4\/12 - 23*h**3\/6 - 12*h**2 + 89*h + 4. Determine p(-20).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2 - 128467*l + 128466 = 0.\nAnswer: 1, 128466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, -1390, -5407, -13340, -26521?\nAnswer: -46282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (1216\/(-456) + 46\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 60\/4057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30112 times 6?\nAnswer: -180672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p - 29 = -2*i, -p - 3*i = 2. Suppose -26 = 5*x - 66. Let u(v) = -3*v + 29. Let k be u(x). Solve 2*a + k*z - p = 0, a + 11 = 2*z + 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*b + 3 = -255*b, z - b = -4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3, e: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -3\/4 (c) -1 (d) 989\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -3.7. Let f = 3\/715 - -1409\/5005. What is the smallest value in w, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15906821?\nAnswer: 7, 47, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -10*m**3 - 43*m**2 + 989*m - 38. Give p(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 330 - 232. Let n be (-10)\/(-25) + (-2787)\/30. Let q = o + n. Is q less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - (-65)\/25. Let w = 2 + 0. Suppose 0 = 2*d + r*i + 15, 3*i = -5*d + w*i - 5. Solve 4*v - 23 + 7 = d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = h - 14. Suppose 5*p + 2*y = p - h, p + 9 = -4*y. Let s(c) = c**2 + 6*c + 3. What is s(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4 + 2*r - 20. Let p(f) = 12*f - 2. Calculate p(h(v)).\nAnswer: 144*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -y - 12. Suppose 5*m = y*m. Solve m = 4*x + 5*b + 2, -b = -2*x - 3*b - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -9*f - 5*s, -5*s - 20 = 211*f - 206*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11c358d + 5?\nAnswer: -11c3588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 13*o**2 - 12*o - 20. Let v be y(14). Find the second derivative of -3*l**4 - 2*l**5 + 3*l**4 - 8*l - v*l**5 wrt l.\nAnswer: -200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - d**2 + 5 - 8)*(-2*d**3 - 3*d**3 + 6*d**3).\nAnswer: -d**5 - 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 285893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199 + -199.3. Let t = -0.68 + 1.68. What is the third smallest value in 5, t, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -190*a**3*m**3*n - 2*a**3*m + 2*a**3 - 2*a*m**3*n - 4*a*n + m*n wrt m.\nAnswer: -1140*a**3*m*n - 12*a*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*y - 107 - 100 = 0, w = -y + 45. Suppose -10*j = -w + 8. Solve -4*l + 2*l = j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -118611.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g**3 + 3. Let p(y) be the second derivative of 11*y**5\/20 - 2*y**2 + 150*y. Calculate 4*l(a) + 3*p(a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1344674 - -433.93\nAnswer: 1345107.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 3. Let i be v(-5). Let x(m) = -13*m**3 + m**2 + 1. Let s be x(i). Let w = -30 + s. Is w 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 3:49 AM and 9:44 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61522 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v**2 + 2*v**2 - 4*v**2)*(-5*v + 4*v + 2*v) + 7*v**3 - 248 + 248 as q*v + n*v**2 + d + y*v**3 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4085\/(-172))\/((-3)\/1068)?\nAnswer: 5, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 11) to base 6\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1875815684?\nAnswer: 2, 47, 9977743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86153 and 808.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 4. Let h be g(-5). What is the units digit of ((-2)\/6)\/(h\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaa when three letters picked without replacement from eeqmjajejqqjjmeaq.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 (base 12) in base 6?\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62799, 125509, 188219, 250929, 313639?\nAnswer: 376349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/88 (b) -5 (c) -1\/2 (d) 1\/4 (e) -23861 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 12*s + 3 - 7)*(5*s - 3*s + 0*s) to the form y + q*s**2 + u*s and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52388, 52364, 52326, 52274, 52208, 52128, 52034?\n\"Answer: -7*o**2 - 3*o + 52398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + -5.2. Let x = -8 - l. Let z = -11\/18 - -10\/9. Which is the closest to 1\/3? (a) z (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 + 19*q**2 + 36*q + 140. What is the thousands digit of s(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4*i - i)*(i + i**4 - i) + 5 - 5 - 6*i**5.\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 + 3*j**2 - 2*j**2)*((2*j - 5*j + j)*(2 + 4 + 3) - 3 + 3 - 2*j) to the form i*j**3 + h*j**2 + y*j + d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.5 - -102.5. Let n = -73.1 - 10.9. Let j = r + n. Which is the biggest value? (a) -0.3 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.79 and -0.0407?\nAnswer: 4.8307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**8\/560 - q**6\/180 + 2*q**3\/3 + 3*q. Let f(t) be the second derivative of m(t). Find the third derivative of f(w) wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 - 16*l - 28. Let g be z(13). Suppose -d + g = -0*d + 4*h, d + h = 271. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - (-60)\/(-8))\/((-2)\/(-4)). Let k be (-8 - t)*(-6)\/15. Solve 0*a - 5*a + 25 = 3*v, 5*a + k*v = 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + -2 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 181, -1.24, 14275\/2?\nAnswer: 14275\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-720)\/(-900)*-10*6\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6 + z**2 + 2 + 4*z - 1. Let f(l) = 6*l + 1. Let v be f(-1). Let d be c(v). Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Let h = l - 4.6. Which is the third biggest value? (a) 2\/7 (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(416) - sqrt(26) - sqrt(26))*1 + sqrt(26) + sqrt(312)\/sqrt(192))\/(sqrt(22)\/((-2*sqrt(121))\/sqrt(11))) + -2)**2.\nAnswer: 26*sqrt(13) + 2213\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5570*m**2 - 2*m - 24873 wrt m.\nAnswer: 11140*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22749 is divided by 253.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = -20*z + 109. Sort -5, z, 6, -25 in ascending order.\nAnswer: -25, -5, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/(-18)*(-3)\/4. Suppose 0 = -x*h - 0 + 8. Let i = 0 - h. Put i, 9, -2 in ascending order.\nAnswer: i, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9578 is divided by 1063.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 s when four letters picked without replacement from {z: 5, x: 5, r: 6, q: 1, s: 3}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 5824?\nAnswer: 5826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*(-66 + 56). Let n(f) = -10*f**3 - 4*f**3 + f**3 + 2*f**2 - 1. Let i be n(-1). Solve j*g - i = 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 964594085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/361*-19*(-3)\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2 = -i, -2*j - j = 2*i - 35. Suppose -o - 688 = 4*n + 124, -5*n = -5*o + 990. Let d = n - -293. What is the greatest common factor of i and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 1)*(0 + 2*l + 0)*(-l**3 + 6*l**3 + 3*l**3) to h*l**2 + z*l**3 + k*l**4 + b*l + m and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 2, -27, -5 in increasing order.\nAnswer: -27, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -14, 79 in increasing order.\nAnswer: -17, -14, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 2\/9, 0, -1.7.\nAnswer: -12, -3, -1.7, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1446000 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.82 + -0.58. What is o rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**14)**4)**(2\/27))**24)**(2\/131) assuming c is positive.\nAnswer: c**(1792\/1179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -223\/197667 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1373587 from 1.15.\nAnswer: 1373588.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 53*n + 1305. What is the units digit of v(28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*k**2 + 1\/4*k**4 - 1\/2 + 5\/4*k - 1\/4*k**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 11*f - 7. Let n(b) be the second derivative of 0 - 5\/6*b**3 + 3\/2*b**2 - 3*b. Give -2*i(j) - 5*n(j).\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5535, 2, -11 in increasing order.\nAnswer: -11, -6, 2, 5535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = -11*u - 143 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.61, -2\/5, -1, -6, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, x: 8, l: 1}. What is prob of picking 1 x and 1 f?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -4. Let r = -119 - -94. Let z be 0 - 1 - (r - -24). Put t, z, 3\/5 in decreasing order.\nAnswer: 3\/5, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 3139 = 43309. Calculate the smallest common multiple of s and 2266.\nAnswer: 33990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z = 21. Let v be 0 + 35\/z - 6. What is the third biggest value in v, -0.5, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -174259, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5606 + 7959. List the prime factors of u.\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f + 27 - 27)*(146 - f - 146) + f**2 - f**2 - 2*f**2 as i*f + r + k*f**2 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36774 (base 10) in base 4?\nAnswer: -20332212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 109 = 4*c, -5*c - 2*n + 109 = -36. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640555 to the power of 1\/2, to the nearest integer?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -536133 divided by 178711.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + -6 + -3 + 1 + -3. Let y be 0\/(c - -2) + (9 - 2). Does 17 divide (y + -4)\/(3\/103)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 6*q**2 - 3*q**3 - 2*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, a: 1, f: 1, h: 2}. What is prob of sequence hahf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.164 (b) 169\/3 (c) 0 (d) -1 (e) 1 (f) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*d - 33, 3*d - 37 = -2*o + 7*o. List the prime factors of (246\/(-9) + d)*-3.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1977\/(-659) + (-7)\/14*-116\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 59.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/521, 3, -31, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + (89 - 52) - (15 - (-12 + 33))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m + 2*t + 26, -6 = -m + 2*t. Let h = -1 - m. Suppose -h*g + 4*g = 36. What is the highest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 608.\nAnswer: 10336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36050 and 82915.\nAnswer: 829150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -535 - -897. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54531646 is divided by 544?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 0, 14, -0.3, 2182\/5, 3\/2, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*b + 5 = 2, 4*b + 12 = 0. Let a(v) be the first derivative of -v**4\/4 + 5*v**3\/3 - 3*v**2\/2 + 2*v + 2. Give a(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -283 (b) 18 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25220595?\nAnswer: 3, 5, 191, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*n - 5*n - 8, 4*n - 28 = -3*l. Solve -29 = 4*o + 3*k, 6*k - 19 = 5*o + n*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.2, 5, 276658, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0 + 3. Let w(p) = p**3 + p**2 - p + 2. Let l be w(0). Is l <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iizz when four letters picked without replacement from {j: 4, i: 2, z: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -574 or -573?\nAnswer: -574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37226043457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/(-8))\/(-5))\/(9\/(-108))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18 - 12175286.\nAnswer: -12175285.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 3, 6, 2 in ascending order.\nAnswer: 2, 3, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-2)\/(-3))*-1. What is the smallest common multiple of (3 - 1) + 20 - 0 and (-104)\/(-6) + (-2)\/o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 5*d**2 + 12*d + 10. Let t be r(7). Let p(k) = 3*k**2 + 4*k - 5. Calculate p(t).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 1\/8*d**4 + 0 - 31*d**2 + 7\/40*d**6 - 1\/6*d**3 - 1\/30*d**5 + 0*d. What are the prime factors of n(1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*m = 23, 54561*m = 33*l + 54566*m + 1140 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 4*d**2 + 5*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 162, 445, 978, 1887, 3298, 5337, 8130?\n\"Answer: 21*v**3 - v**2 + 139*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19718872, -5, -1, 1?\nAnswer: 19718872","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.06, 1\/4, 5.8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3712 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -0.5, -0.2, -14, 1\/198?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1218 and 6496.\nAnswer: 19488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:30 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 371.8 - 361. Let a = 10.1 - v. Put 3, a, -0.3 in ascending order.\nAnswer: a, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 90 = 3*k, 5*k - 163 = -2*t + 3*t. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 28381, -2 in decreasing order.\nAnswer: 28381, 43, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 8\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56 - 55324?\nAnswer: -5537a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-11 + -4)) + 0 + 4. Suppose 5*g - m = 7*g. Put -1, 0, g in decreasing order.\nAnswer: 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60 and -1548.2?\nAnswer: -92892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56455\/(-3226) + 453\/6?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwd when three letters picked without replacement from dcwdccdddwcddrcd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 4:16 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10360\/10 - -7 - 14 and 21.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12790 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x + 17. Let g be c(-3). Are g and -66\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 18 + 80 = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d - 3. Let q be y(-1). Let n = 6 - 4. Let u = -46 - -45.5. What is the closest to 0.1 in q, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 7299*r + 3 - 3 + 7299*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3571245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w - 125 + 118. Which is the nearest to 1? (a) w (b) 9 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 21*t + 216. Let s be f(-10). Let c(q) be the second derivative of 0*q**3 + s*q + 7\/2*q**2 + 0 - 1\/12*q**4. Differentiate c(k) with respect to k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2 + 20*b**2 + 12 + 2 - 17*b**2 + 42*b. Calculate the remainder when l(-16) is divided by 497\/21 + (-2)\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(4 + 7\/(-2)). Are v and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 3, 37, 2\/13, -0.36, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45225 and 1608.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -110, -112, -114, -116, -118, -120?\n\"Answer: -2*y - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 10:16 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21072.2 + -21072. Which is the closest to w? (a) 1\/55 (b) -2\/21 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-21)*x)**(2\/17)*(x**(-4)\/x)\/x**40)**(-1\/23) assuming x is positive.\nAnswer: x**(35\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2902 = -157*z - 1180 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2832)\/(-3068))\/((-72)\/(-2106)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 459*b**2 + 5*b - 944*b**2.\nAnswer: -1403*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -172 + 172. Is 51 - -12625 - (5 - a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84635 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -184544 and 8.\nAnswer: -184536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 15297*c + 4. Let w(i) = -110*i. Determine w(r(d)).\nAnswer: 110*d**2 + 1682670*d - 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4*h + 3*h)*(-1 + 0 + 3) - 14 + 7 + 0*h + h + (3*h - h - h)*(4 + 0 - 3).\nAnswer: 6*h - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -35*n**3 + 10*n**2 + 15*n - 1. Let p be q(-5). Suppose b - 4*x + 1610 - p = 0, 14678 = 5*b - 3*x. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101011 + -1111111000010?\nAnswer: -1111000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/98 + (-1020270)\/14223426.\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -255 + 387. What is the highest common divisor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*y - 12*y + 4*y + (0 + y + 0)*(-1 + 3 + 0) - 2 + 2 + y + 0*y + 2*y - y - 1 + 1 + 2*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 21006365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14351297250 + 0.8.\nAnswer: -14351297249.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -10. Let b = 0 - s. What is the smallest value in 0.5, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54312 is divided by 69.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**2 + 4*w + 8*w**2 - 5*w**2 to the form u*w**2 + y + s*w and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62842?\nAnswer: 2, 13, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Calculate the remainder when d is divided by 6\/(-4)*(-20)\/15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 12:09 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - -53. Suppose -101 = h - 2*h + 2*g, h - g - d = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202944247?\nAnswer: 11, 59, 312703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13839592.793 + -0.4?\nAnswer: -13839593.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 + l**2 - l**2 - 5*l**3 + 2*l**3 + l**3 + (2*l + l - 4*l)*(-3 + 3 + 2*l**2) - 3*l + l**3 + 3*l + 83*l - 83*l - 3 - 5*l**3.\nAnswer: -10*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 + 5*a**2 + 14*a - 3. Let c be m(4). Suppose 7*l = 2*l - 3*x + 212, 3*l - 136 = -4*x. Calculate the greatest common divisor of l and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 222, 587, 1088, 1719, 2474, 3347?\nAnswer: 4332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 0.66375\nAnswer: -0.26375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/29))\/z**26)**(-41) assuming z is positive.\nAnswer: z**(29643\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + o. Let t be 21\/5 + 1\/(-5). Suppose 0 = -p - t, -j + o*p - 3*p = -15. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -9*a + 40. Suppose 3*c + 5*n + 14 = 0, 3*c = 2*n + 2*n + 22. What is the derivative of -a*j**3 - 7 - 28*j**2 + 28*j**c wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 - 9*s + 5. Let y be p(3). Let r be (-7)\/y - (-21)\/30. Which is the smallest value? (a) 0 (b) -1\/10 (c) r (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -12, -22, -36, -54, -76, -102?\n\"Answer: -2*u**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20332\/(-24633) - (-36)\/21.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zczmmzjcjcycjjycmcym. What is prob of sequence jjy?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/9 (b) 2 (c) -0.3 (d) -848\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/6 and 89\/7746?\nAnswer: 7746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282\/(-188) - 11469\/(-2).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2. Let d(q) = 3*q**2 - 99*q + 36. What is d(m) + 18*h(m)?\nAnswer: 3*m**2 - 99*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101001100 (base 3) in base 5?\nAnswer: -1331014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v = -62. Suppose -50 = -5*n - 4*u, 5*u - 18 = -4*n + v. Calculate the remainder when (2\/(-1))\/(2\/(-21)) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6270 and 18278.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6235 + 1?\nAnswer: 6236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -6, 9*p - 254 = -2*b + 10*p. Suppose 114*t - b*t = -144. Solve 7*a = t*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -992*m + 997*m - 49, 12*m - 24 = 6*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-30)\/c)\/(c**(-28)\/c))\/(c**(-28))**(-23\/2) assuming c is positive.\nAnswer: c**(-324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 41 = -133. Let o be 6\/(1 - h\/93). List the prime factors of -3 + 3*o\/9.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429572 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -1\/240*f**5 + 1\/96*f**4 + 0*f + 0 + 1\/840*f**7 - 1\/480*f**6 - 2*f**2 + 0*f**3. Factor g(u).\nAnswer: u*(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(136)*-2*6 + sqrt(136) + (sqrt(136) - -2*sqrt(136)*-1) + sqrt(136)))\/(((sqrt(200) + 2*sqrt(200))*-4 - sqrt(200))*5).\nAnswer: 33*sqrt(17)\/325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 + -6.\nAnswer: -6.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 984 and 67968.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 395429141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/2, 2\/549, -5\/161?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7689957 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11150 - 6707 - 4443 + 16*b**3.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, p: 4}. Give prob of picking 2 p.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*b + 174. Let d = b + -3. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(4*(-6)\/(-16) - 1). Let c(a) = a**3 + 10*a**2 - a - 7. Let n be c(-10). Suppose g = -n*k - 9, -x - 2*x + 4*k = -351. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.3 + -4.3. Which is the third biggest value? (a) 3\/5 (b) -4 (c) n (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 3*u)*(83*u**4 - 15*u**4 + 33*u**4).\nAnswer: 101*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 3290666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 1740?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3924326*s. Let m(r) = 25*r**2. Calculate m(p(i)).\nAnswer: 385008363856900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.96 and -1.57.\nAnswer: -6.2172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4219410 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 27*h - 7. Let g be f(18). Let u = g - 64. Is 32 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*l = 5*r - 15, 5*l - 45 = -5*r. Let f be r\/(-8) + 9\/6. Let u be 3\/(-24)*-18 - f\/4. Solve -2*n = -0*y - 5*y - 10, 2 = u*n - 3*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50269 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + n**3 - 11 + 43 - 1452*n**2 - 7*n + 6*n - 2*n**3 to the form t*n**2 + r*n + f + a*n**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.1. Let n = 0.24 - 2.24. Let d = t - n. What is the closest to 0 in 3, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*c + 204*c + 1352*c - 337*c.\nAnswer: 748*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 4:50 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 215.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/2 (b) 26 (c) -9 (d) 0.4 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 1102220?\nAnswer: -1102203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 415 - 343. Suppose 36 - 195 = -s. Let t = s - p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 306 + -303. What is the second derivative of 88*o**x + 557 - 557 + 52*o wrt o?\nAnswer: 528*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 - 4\/(4\/(-11)). Let u(h) = -11*h**2 + 5*h + 21. Let z(w) = -5*w**2 + 2*w + 10. Let k(x) = -6*u(x) + 13*z(x). Determine k(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/30)\/((-6)\/72)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + -44. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:37 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/441 and -57\/5460560.\nAnswer: 49145040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*b = -695, -5*b + 1459 = -4*s + 44. Round s to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -656 + 657.148. Let t = -0.142 - y. What is t rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:43 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (-153)\/7) + -1. Let f = a - 148\/7. Is 0 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37408 - 190588 = 5106*u for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -19*l - 73. What is u(-9)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/4)*(o**3*o)\/o*o\/(o*o**(-2))*o**(5\/6) assuming o is positive.\nAnswer: o**(61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7514 and 29767.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from bvresxs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -17)*(-1)\/(-1). Let c = -20 - -22. Let p be ((-6)\/(-4))\/(6\/(-16)). Put c, m, p in decreasing order.\nAnswer: m, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 23*z**2 + 164*z - 241. Let u be v(-29). Which is smaller: 44 or u?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 662161*s**6 + 159522*s**2 - 2*s wrt s.\nAnswer: 79459320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 - 1225 = 12*o. Let s = o - -704. List the prime factors of s.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/17)*t)\/(t\/(t*t**(3\/2)\/t*t))*t\/(t**(-4)*t)*t\/(t*t**(2\/17)) assuming t is positive.\nAnswer: t**(213\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3 + (2 + 1 - 2)*(-3 + 3 - 1) - 2 + 0 + 0)*(-3*m**4 - 2*m**4 + 6*m**4) + (m**3 - 3*m**3 + 3*m**3)*(-5*m + m + 0*m).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12446179*n. Let h(g) = 18*g. What is h(y(x))?\nAnswer: 224031222*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12059005?\nAnswer: 5, 7, 344543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -26014 (base 7) to base 9\nAnswer: -10374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/3968864 and 3\/8176?\nAnswer: 27782048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 23873421 = 32492508. Let f(j) = 273238*j**2 - 3*j + 2. Let h be f(7). Let v = h + t. What is v rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 3:35 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6593482491?\nAnswer: 3, 2197827497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*3\/30?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 121, 727, 1783, 3343, 5461, 8191, 11587, 15703?\n\"Answer: 9*s**3 + 171*s**2 + 30*s - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 5*c + 0*c)*(3*c**2 - c**2 + 0*c**2)*(11*c**2 - 16*c**2 - 16*c**2) + (3*c**3 + 0*c**3 - 5*c**3)*(-5*c**2 + 2*c**2 - c**2).\nAnswer: -76*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -604*h + 254328. Determine t(421).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 2*u + 2. Let s(m) = -3*m**2 - 5*m - 5. Let g(z) = 5*r(z) + 2*s(z). Let v(f) = 19*f. What is g(v(b))?\nAnswer: -361*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 15. Let t be q(8). What is the third smallest value in -0.2, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/3561 and -2\/299 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 12*a + 2. Let j(q) = -37*q + 56. Determine j(b) + 3*z(b).\nAnswer: -b + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/2*(-27)\/(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5 - -3. Let f = 392\/5 + -78. Let v = 6620 - 6620. Which is the nearest to f? (a) v (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8643532 divided by 4?\nAnswer: -2160883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3066 and -34\/595899.\nAnswer: 8342586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 111?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 7:34 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 124\/(-1 - (0 - 2)). Suppose 5*s - 111 = z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*y - 138*y + 110*y = -2660 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 4096\/34835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4139, 4125, 4111, 4097?\n\"Answer: -14*z + 4153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eceec. Give prob of sequence ceec.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2320 divided by -290\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*o + g + 18, 4*g = 8. Let v be (2\/o)\/(2\/20). Suppose 3*t - 48 = -t - 4*k, v*t - 48 = 5*k. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - -1 - (8 + (-28 - -13) + 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -321.121.\nAnswer: 1284.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - k. Let o(j) = j**3 + j**2. Let a be o(-1). Let m be p(a). Suppose m = -3*s + 9*s. Let g(b) = b + 4. Determine g(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*q + 374*q + 60 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2271 and 223811592.\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-49 + -8 + 58)*(-1)\/5).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -485, -483, -481, -479?\n\"Answer: 2*m - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2 - (3 + -7)) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 24\/(-13)) + -486 + 483?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 16*w + 3. Give v(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1006, -4225, -9656, -17299, -27154, -39221, -53500?\nAnswer: -69991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96992 and 12376.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4398 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, -1, -5 in descending order.\nAnswer: 5, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1643134 is divided by 234721?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 546587339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*m + 27 - 7, m + 2*o - 3 = 0. Suppose 5*b - 5326 = -2*u, -997 + 5271 = 4*b - m*u. Is b a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(8\/7)*(h\/h**(2\/19))\/h*((h*h**2\/h*h)\/h)\/(h**(-8)\/h*h))\/((h**(-2\/7))**(-50))**(3\/22) assuming h is positive.\nAnswer: h**(1631\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 992 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 common denominator of 97\/18972954 and -79\/1724814?\nAnswer: 18972954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.00064 - 11. What is f rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6656d (base 15) to base 2\nAnswer: 1001111011001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2517 + 2521. Solve -3*q = -4*w + h, -w - 3*q = 2*q - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 685168, 685172, 685176?\nAnswer: 685180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16*1\/(-10))\/(4\/10). Let b be 18\/(-108) - 2\/h. What is the biggest value in -4, 4, 2, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4*k**(-3\/2)\/k)**17*(k**(2\/3))**(2\/87)*k*k*k**(2\/3)*k*k*k**0\/k assuming k is positive.\nAnswer: k**(15233\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51, 82, 171, 348, 643, 1086, 1707?\n\"Answer: 5*r**3 - r**2 - r + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 10. Let g be (-4)\/6 + 28\/(-12). Let k be (-18)\/(-6)*7\/g. Let h be b(k). Calculate the highest common factor of h and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**3 + 144*s**2 - 27*s - 1292. Calculate k(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.577 + 23182.423. Let v = w - 23205.78991. Let i = v + -0.21. Round i to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 3, q: 1, y: 2, e: 4, u: 4}. Give prob of picking 1 t, 1 e, 1 x, and 1 y.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5418*3*(-11 + 12). Suppose o + 141746 = -2*v. Round v to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8*w + 3*g = 0, 0 = -2*w + 4*g. Solve w = -3*l - y - 1 - 10, -2*l = 5*y + 29 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3068 and 5409828.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:59 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/406)\/(1\/14*(0 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28, -29, -32, -37, -44, -53, -64?\n\"Answer: -b**2 + 2*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bll when three letters picked without replacement from {w: 8, z: 2, l: 5, b: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:35 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*g = -11, 115*g - 6 = 3*s + 118*g for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48932805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**4 - 5*v**3 - 15*v**2 - 15*v - 6. Let i(c) = -5*c**4 + 26*c**3 + 75*c**2 + 74*c + 30. Let z(g) = 2*i(g) + 11*x(g). Factor z(j).\nAnswer: (j - 6)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 2338?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - p + 4 + 10, 2*p + 4 = 2*q. Suppose q*x - 4470 = -0*c + c, -4*c - 2242 = -2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v = -4*l + 122, -3*l + 5*v + 74 = 0. Calculate the smallest common multiple of 2 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.02, 0.3, -3, 1, -546.1, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z + 8*n + 532 = 0, -2*z + 2823 = -3*n + 2734 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*l**4 - 46*l**3 - 3*l**2 + 6913?\nAnswer: 132*l**3 - 138*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10 = -0. Let j = 3 - l. Solve -t = -0*t + 3*o + 15, j*t + 2*o = -23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165361 - 1771. Round f to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o + 18*o - 2354198 = 0. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**5*z + 188*q**4*z + 17*q + 17*z wrt q.\nAnswer: 20*q**3*z + 2256*q**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5135870 and 35190.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s**2 - 42*s - 8. Let o be a(-5). Solve g = 3*x + o, 2*g + 3 = 5*x + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 14.297. What is s rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 1809?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/(1\/3). Suppose -5*o - 7 + 32 = -4*m, -4*o - m = d. Does 19 divide 18 - (-2)\/(o + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -28 in descending order.\nAnswer: 1, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33718117 and 2149.\nAnswer: 236026819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t - 8. Let w(g) = 10*g - 8. Let s(r) = -r. Let u(i) = 4*s(i) + w(i). Let k(h) = 5*c(h) - 6*u(h). What is the units digit of k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lazvllayvvllcavlyz. What is prob of picking 2 z and 1 y?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -750023172*z**2 - 10385*z + 11548 wrt z.\nAnswer: -1500046344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2277 and -0.291.\nAnswer: 2276.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-12))\/(3\/(-878)). Let h = 994 + g. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*x**3 + 20*x**2 + 11*x**3 + 5*x**3 - 48*x.\nAnswer: 2*x*(x - 2)*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292355, -292353, -292351, -292349, -292347, -292345?\nAnswer: -292343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 2553, 7178?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + 2. Suppose 0 = 4*g - 0*g - 24. Let a(l) = 1. Let y(s) = g*a(s) - z(s). Differentiate y(q) with respect to q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 5*g**2 - 3*g - 7. Let j be t(-6). Let a = 28 + j. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 171*b**2 + 9470*b - 2154. Calculate d(215).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1307 to the nearest 10.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 565 - 540. Suppose 2*q = -j*y + 7, 3*y - 6*q + 11 = -11*q. Which is the third biggest value? (a) 13 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -t + 16, t + 0*t = 3*q + 12. Solve 0 = 4*y + 4*s - 9*s - 13, 0 = -2*y + 2*s + t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (0 - -17) - (-6 - -11)) + 378 + -374\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45334356*d**4 + 2539491*d.\nAnswer: 544012272*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 1223255260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20760*u**2*x**4 + 3477*u**2*x**2 - 844*u**2*x - 4766*x wrt x?\nAnswer: -249120*u**2*x**2 + 6954*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {h: 4, u: 2, l: 3, y: 2}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17013 plus 7.849900623?\nAnswer: 17020.849900623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 + -102.45. Let i = 1.35 + h. Are i and -64 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5053828.\nAnswer: 2, 13, 17, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9232 and 11552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12382, 5, -3, -4 in ascending order.\nAnswer: -4, -3, 5, 12382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 35*v**2 + 44*v + 1659. Determine j(32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)*p**(-1))**45 assuming p is positive.\nAnswer: p**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 884069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 1284. Let a(o) = -138*o**2. Calculate r(a(m)).\nAnswer: 138*m**2 - 1284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -645 <= -563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 2*i**4 + 8*i**2 - 8*i**2)*(-i + 2 - 2).\nAnswer: -2*i**5 - i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 12 - 11)*(m + 3*m - 2*m + (-4*m + 4*m - m)*(1 + 2 - 4)).\nAnswer: 114*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.480499g in milligrams?\nAnswer: 1480.499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 6*j**2 - 7*j + 224. Let r be d(0). What is the greatest common factor of 602 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-252 - (-2 - -5)) + 3. Let o = s - -516. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 7*d**2 - 7*d + 2. Let p be 5\/3*24\/20 + -8. Give u(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754147789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.025 - 0.025. Suppose -3*p = 2*w - 14, 3*w = -2*w - p + 35. Let z = -11 + w. Which is the third biggest value? (a) -5 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 1 = n, -2*r + 5*n - 5 = -15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4955 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8248323 to the nearest integer?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -7. Suppose -q + v*q + 5 = 0. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9028*d**2*k**3 + 377*d**2*k**2 + d - 1 wrt k?\nAnswer: -54168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 510091.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 285, 473, 669, 879, 1109?\n\"Answer: x**3 - 2*x**2 + 187*x + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 816 * 7.\nAnswer: 5712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -562604230342 - 19.\nAnswer: -562604230361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.025 (b) 0.3 (c) -1\/168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -8*y**3 + 44*y**2 + 92*y - 56 = 0.\nAnswer: -2, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61*b - 483.\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 t, and 2 r when four letters picked without replacement from {z: 1, h: 1, r: 3, b: 1, t: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -664 - 26. Let x be 2\/23 + (-3390)\/p. Let z(t) = 2*t + 4. Let q(a) = 3*a + 7. What is x*z(y) - 3*q(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-315)\/36)\/((-28)\/8)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 4*d**2 - 4*d + 5. Let q = 32 + -37. Let a be z(q). Suppose 4*t + 155 = w - t, a = -3*w - 2*t + 431. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-5 + 1)) + -16 + 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a milligram in micrograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 56 + 9)*(-3 + v + 3) + (-2 + 0 + 0)*(v - 3*v + 4*v).\nAnswer: -77*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) - (1 + sqrt(175)*-2)) - (sqrt(175)*-1 - sqrt(175))*-5)**2 + 2*-2*sqrt(1008) + 4 + (-1*sqrt(1008))**2)*6.\nAnswer: -1008*sqrt(7) + 157278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*y - m + 6*m, -m + 7 = 3*y. What is the remainder when 13 is divided by 8\/3 + ((-5)\/y - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/108*2)\/(102\/408)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12964 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*1 - sqrt(152))*-6)\/sqrt(8)*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 246458, 246452, 246438, 246410, 246362, 246288?\n\"Answer: -w**3 + 2*w**2 - 5*w + 246462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -9, 0, 288, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2196 and 28.\nAnswer: 15372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 14 + 35 = 3*i, 4*o = i - 22. Suppose 0 = -i*f + 6*f + 32. Is ((-278)\/f)\/(8\/32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-1 + -1) - 6. Let m = -5 - -7. Suppose -m*s = -0 - 4. Solve k*o - 4*z + 1 = 0, -2*o - z + s = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejee when four letters picked without replacement from {t: 11, j: 1, e: 5, u: 3}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z - 12. What is b(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 7*f**2 - 2*f**2 + 13 - 14 - 8.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 9, m: 2}. Give prob of sequence mmmk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*q**2 - 76*q**2 + 170*q**2.\nAnswer: 230*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -51187864700 rounded to the nearest one million?\nAnswer: -51188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {n: 1, p: 1, f: 1, m: 1, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -65*g + 9. Let n(k) = 32*k - 4. Let y(x) = 2*a(x) + 5*n(x). Let j be y(3). Is (2\/(-4))\/((-2)\/j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 1989 = -1497. Suppose -10*y - p = -3*y. Let r = y - -111. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from tttttqtpvtttt?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -17*x**2 - 423*x + 58. Calculate v(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 79*p**3 - 13*p**2 - 4*p - 1. Let q(n) = 81*n**3 - 13*n**2 - 5*n - 1. Give -5*i(u) + 4*q(u).\nAnswer: -71*u**3 + 13*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11383 is divided by 253?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88) + sqrt(88)*3)*3)\/((sqrt(800) - sqrt(800)*-2)*1).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12152839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 195928676 to the power of 1\/2, to the nearest integer?\nAnswer: 13997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14508 + a23?\nAnswer: 15430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 0*b**2 - 4\/3*b**3 - 3 + 0*b. Let c(q) = -3. Let k(x) = -x**2 + 4. Let u(j) = -4*c(j) - 3*k(j). Determine u(n(h)).\nAnswer: 48*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppphph. Give prob of picking 1 h and 3 p.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2880)\/(-32400)*-3*(-1)\/(-2)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w + 12, u + 5*w - 7 = 0. Let l = 32 - u. What is the remainder when 13 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aad (base 14) to base 11.\nAnswer: -3716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1919400 and 456.\nAnswer: 36468600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 11. Suppose 0 = -2*i + 19 - 19. Solve i = -r + l - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b = x - 76, 148 = 4*b + x. Suppose 4*p + 4*y - 2*y - 20 = 0, -y = -p + 2. Suppose 3*v - 8 = p. What is the highest common factor of b and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 0.0036, 0.2, -2, 4.\nAnswer: -2, 0.0036, 0.2, 6\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -265.700636 to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1734.782 centimeters to kilometers.\nAnswer: 0.01734782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3234 is divided by 1056.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -15*c + 3. Let q be w(2). Let p = q + 43. Let y = p - 12. Calculate the highest common divisor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41\/2 - -20. Let x = -1 + 0. Let h = 10 - 8. What is the nearest to x in j, h, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -7*x**4\/12 + x**3\/2 - x**2\/2 - 5*x. Let z be d(1). Put 3, 1, z, 5 in decreasing order.\nAnswer: 5, 3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93442695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 135117.54 months in years?\nAnswer: 11259.795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 2*w**4\/3 + w**3\/6 - w**2\/2 + 8*w. What is c(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uctttuccctucuttt. Give prob of sequence utu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 2*x**2 - 2*x + 2. Let v be m(3). Suppose 4*j = -j + 800. Suppose -45 = v*t - j. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 554469.\nAnswer: 22\/554469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2 + 160*u + 331. Determine j(-18).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/325*(-5)\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.4 (b) -1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.5 - 1.5. Let j be 7\/(-4) + 2\/8. Which is the second smallest value? (a) j (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6166227226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18032 - -18211. Which is greater: 92 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2039935765 to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29919, 29905, 29889, 29871, 29851, 29829, 29805?\n\"Answer: -k**2 - 11*k + 29931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -7*w**4\/4 - 5*w**3 - w**2 + 11*w + 21. Let v = -192 - -181. Let o(f) = -4*f**3 - 8*f**2 - f + 6. Determine v*o(d) + 6*i(d).\nAnswer: 2*d**3 - 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1426 - 1419. Let y be 13 + 2\/2*1. Suppose -4*c = -w - 4 - 3, 4*w = -5*c + y. Solve d + w = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121882, -243702, -365522?\nAnswer: -487342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -949657\/791385 + -1\/158277. Let z be 1\/(-1) + 9\/11. What is the smallest value in y, -3, 4, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*g = 195*g - 679 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 114 + 7*v - 114 + 0*v - 2*v + 4*v + (4*v - 2*v - v)*(3 - 2 + 1) + 4*v + 6 - 6 + (2 - 1 - 2)*(0*v - v - 2*v).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - n - 2. Suppose 13 - 1 = 3*b, -12 = -2*i - 2*b. Let g be m(i). Factor 0 + g*d**3 + 0*d - 1\/3*d**2 + 1\/3*d**4.\nAnswer: d**2*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 6.01548\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**5\/30 - k**4\/12 - k**3\/6 - 4*k**2. Let n be u(-1). Solve -5*q - f = 3*f - 12, 14 = n*q - f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 12) + (-6)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n - 10. Let d = 0.0041 + 0.9959. Let t = d + -4. What is the fourth smallest value in 0, 2\/13, t, n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-1))\/((-2)\/(-26)). Suppose -2*k + a = 5*d, 4*k = 2*d - 5 - 5. Suppose d*y - 36 = -y. Solve 5*f = -y - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**5 - 5*b**3\/2 + 5*b**2\/2 - 52*b - 1. Solve p(i) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 4:08 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 13*j**2 - j - 2. Suppose 4*c = 28 - 8. Calculate the smallest common multiple of c and x(-13).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003164726 to six dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1be4a - -2a?\nAnswer: -1be20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 4*s - 1884. Let y = s - 151. Let v(g) = -g + 9. Determine v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j + 7. Let h(y) be the first derivative of 0*y**2 + 1\/3*y**3 - 65 + 0*y. What is h(l(q))?\nAnswer: 49*q**2 - 98*q + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.2. Let b = 2277 + -2276.9. What is the closest to b in 20, k, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + ((sqrt(1620)*5 - sqrt(45))\/(sqrt(1323)\/sqrt(3)))**2*2).\nAnswer: -16526\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.1. Let q be ((-3)\/4)\/(-1)*-4. Let m be (q\/(-6))\/(6\/8). What is the nearest to 1\/2 in m, -4, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 249 and 20999.\nAnswer: 62997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:49 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*q + 1508 - 84, 2*s = 4*q + 1430. Let m = q + 364. Determine d, given that -1\/3*d + 1\/6*d**4 - 1\/6*d**2 + 1\/2*d**3 + 0 - 1\/6*d**m = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/72124495 - -10720585214\/9996455007. Let m be (-3)\/2*8\/(-2079). Let h = r - m. What is the common denominator of h and 37\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/138 and -19\/68.\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2084\/7, 2?\nAnswer: -2084\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.06 (b) 1\/3 (c) -1 (d) -0.11 (e) 20 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {o: 19, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3744\/(-3640))\/(30\/70).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-48)*(-8)\/(-14)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1223285330 to the nearest 100000.\nAnswer: -1223300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 28\/8677113?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*q**3 - 26*q**3 + 7*q**3)*(2*q - 4*q**2 + 2*q**2 - 3*q**2).\nAnswer: 480*q**5 - 192*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10fc7 (base 16) to base 9.\nAnswer: 115385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (130\/(-858))\/(10\/12) - (-26)\/22. Let k(q) = 4*q - 3. Calculate k(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**2 + 10*c - 7037. Let t(y) = 3*y**2 + 5*y + 2. What is -g(l) + 2*t(l)?\nAnswer: -l**2 + 7041","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 2*a + a)*(-5*a + 0*a + 3*a + (a - 2*a - 2*a)*(-6 + 9 - 10) + (-35 + 35 + 7*a)*(1 + 1 + 1)) to z*a + u + n*a**2 and give n.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 12*d + 77 = 0. Let j = d + 13. Factor 0*t**2 - 2\/3*t**3 + 4\/3 + j*t.\nAnswer: -2*(t - 2)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.3 + -551902.\nAnswer: -551919.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 s, and 1 c when four letters picked without replacement from {l: 1, c: 4, r: 1, w: 3, s: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2326 or -2241?\nAnswer: -2241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 24 = f + 4*f, -3*f + 4*d = -11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -r - 19*f + 20*f, 2*f + 396 = 4*r. Calculate the remainder when 249 is divided by r.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191882400 by -2.\nAnswer: -95941200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98467909, -196935808, -295403707, -393871606, -492339505?\nAnswer: -590807404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**4\/3 - 34*o**3\/3 - 220*o**2\/3 - 194*o\/3 + 52 = 0. What is o?\nAnswer: -3, -2, 1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -14146326 bigger than -14146316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 3, -1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/270 - (-64)\/9) + (-77)\/11.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**3 - 6*u**2 - 6. Let p(a) = 9*a**3 - 13*a**2 - 13. Suppose 4*g - 3 = -d, -4*g = -5*d + 19 - 4. Let k be 39\/(-13)*(-13)\/d. Give k*z(i) - 6*p(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*o - 1734 = -699. Solve 3*c - 5 + 10 = -d, 0 = 5*c - o*d - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423*x - 418*x + 841*x + 3900*x**3.\nAnswer: 3900*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 2, e: 4, v: 1, g: 2}. What is prob of picking 1 v, 1 n, and 1 g?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 9:22 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11326309 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + i = 7, 2*i = -w + 5*i - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*4 + sqrt(288) + -2 - sqrt(288) - -5*sqrt(288)*2)**2 + -6*(0 + sqrt(288) + -2)**2 + -2.\nAnswer: -384*sqrt(2) + 54698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5*((-7860)\/131)\/((-4)\/(-3))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 913*i - 911*i = 5*d - 7, -9*i - 9 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 12*j**2 + 12*j + 12. Let k be z(-11). Let o = -902507 + 12629725\/14. Let g = 384 + o. Which is smaller: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-1 - -2))\/(-2). Suppose 14*i - 9*i = 4*m + 25, 10*i = -3*m + 50. Factor -h + m*b + 1\/2*b**2.\nAnswer: (b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.73 - 0.27. What is the third biggest value in 1\/5, c, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836 = 14*v - 3*v. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - 2 + 2 + 1 + 2*l**2 - 1 + (-3 + 3 + 2)*(5*l**2 - 4*l**2 + 0*l**2) - l + 2*l**2 + l + (-2 + 2*l + 2)*(l - 1 + 1) - 5*l**2 - 11 + 11.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 98?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p - 1 = 0. Factor -8*s**2 - 3 - 2*s**3 - p + 3*s**3 - 10*s - 3*s**3.\nAnswer: -2*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/108*(1008\/20)\/(-28)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 - 83*h**2 + 5*h - 640. Let z be l(-28). Which is the nearest to -12? (a) 1\/6 (b) 3 (c) z (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3263190?\nAnswer: 2, 3, 5, 7, 41, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y**3 - y**2 - 29*y**3 - 19*y**3 + 0*y**3 - 37*y**3.\nAnswer: -108*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108527, -434207, -977011, -1736945, -2714015, -3908227, -5319587?\nAnswer: -6948101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/155 and 97\/14930.\nAnswer: 462830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179374351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1280)*-2 + -1)*-3 - 1*-3*(-4*2*sqrt(20) + 2*sqrt(720)))**2.\nAnswer: 720*sqrt(5) + 72009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4*a = 1 - 61, -4*a - 81 = 6*i - 9*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20211201 (base 3) to base 14\nAnswer: 1b63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049903249 rounded to 5 decimal places?\nAnswer: 0.0499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w - 4*w - 2*w + (-3*w + 3 - 3)*(0 - 12 + 3) + (-3 + 4 - 2)*(0*w + w + 3*w).\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33987348 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:31 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2 + 12. Suppose -1 = -g*f + 5. Suppose 0 = 3*k + f, 4*a = -5*k + 127. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -209*a**4 + 2*a**3 + 5*a**2 - 139. Let o(l) = -313*l**4 + 2*l**3 + 7*l**2 - 210. Let g(n) = -7*c(n) + 5*o(n). Differentiate g(d) wrt d.\nAnswer: -408*d**3 - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwvv when four letters picked without replacement from {h: 2, w: 2, v: 4, c: 5}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1460*h**2 + 1467*h**2 - 9*h**4 + 5*h**5 + h**4 wrt h.\nAnswer: 300*h**2 - 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-4)*(-24)\/(-14). Suppose p*q = 2*q + 84. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323 is divided by 192.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from maqkoopkm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 819*b - 8. Let o be v(11). Let c be (14\/4 + -3)\/(1\/(-11184)). Let q = o + c. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 24. Suppose -3*n = -x - 4*n + 8, 0 = -5*x + 2*n + 61. Suppose -x*c + 14*c = 9. What is the closest to 0.1 in 0.5, w, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + t**2. Let v(z) = 4*z**3 + 9*z**2 + 14*z - 12. Let u(g) = 5*s(g) + v(g). Let d be u(14). What is the greatest common factor of 23 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.68, 41.6, -38, -0.5?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-38 + 33 - (2 - 79)) - (18 + -20).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 31 + 7. Solve -7*l - c = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 23*i - 8. Let k be u(5). Factor -262*b - 7 + 274*b - 4*b**k + 79.\nAnswer: -4*(b - 6)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 200 + -139. Suppose -6*l - s = -3*j - 4*l, 4*j + l = 85. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*j*m**3*n**3 + 3*j*m**2 + 2*j*n**3 + m**4 - m*n + 13*n**3 wrt m?\nAnswer: 702*j*m*n**3 + 6*j + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -26. Suppose 4*y - 6*y + 32 = 4*x, 0 = 2*x - y - 28. Calculate the remainder when f is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340.2912 centuries to years.\nAnswer: 34029.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/36 and 43\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5960 = -5*m, -275 - 3266 = -3*n + 4*m. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5 - 690*a**4 + 5*a**2 - 43*a - 2.\nAnswer: 20*a**3 - 8280*a**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -978516\/13295 - -4\/13295. Let j = c - -74. Find r, given that 0*r**2 - 3\/5*r**5 - r**4 + 0*r + 0 - j*r**3 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v. Let c(f) be the second derivative of 17*f**3\/3 - 9*f**2\/2 + 550*f - 2. Determine r(c(i)).\nAnswer: -68*i + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2340 is divided by 753?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 389827 and 238?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 105691\/3499?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-3 - -1) + 3 + -7 + -19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1739 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -72966842.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and 177.\nAnswer: -4248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2935 - 2940. Which is the third smallest value? (a) 0.1 (b) d (c) -3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 - 16*g + 21. Let r(y) = -y**2 - 8*y + 10. Let a(d) = 5*r(d) - 2*z(d). What is a(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let a(t) = -10*t. Let m(w) = a(w) + 8*f(w). Let l(x) be the second derivative of 67*x**4\/6 - 39*x - 7. Give m(l(i)).\nAnswer: -268*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4962, -4924, -4876, -4818, -4750, -4672?\n\"Answer: 5*u**2 + 23*u - 4990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -266.0000184 - -266. Round f to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/386138 and -97\/3362?\nAnswer: 15831658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b + 4. Determine z(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3550098000 to the nearest 1000000.\nAnswer: -3550000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*-3079956\nAnswer: 6159912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 773.4 times -0.002\nAnswer: -1.5468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 981638673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97616 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0, -0.282, -4, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 8. Suppose -t = 5*k - 3. Let d(p) = p - 2 + 2. Let i(a) = -a - 2. Calculate k*d(o) + i(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24 and -103\/7191382.\nAnswer: 7191382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -328, -700, -1220, -1888?\nAnswer: -2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4 - 24*w**3 + 20*w**2 + 96*w - 144 = 0. Calculate w.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}