{"text":"Question: Let d(s) be the third derivative of s**5\/20 - s**4\/24 - s**3\/6 - 3*s**2. Suppose -4*i = 3*a + 10, -3*a = -2*a - 2*i. Let x = 0 - a. Calculate d(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 28 - 27.8. Which is the nearest to k? (a) -0.3 (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 270 and 8235.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -111012112000001 (base 3) to base 15\nAnswer: -93933a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract -34.003406 from -0.36.\nAnswer: 33.643406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:21 PM and 11:26 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -108187, -216274, -324275, -432190, -540019, -647762?\n\"Answer: 43*p**2 - 108216*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**2 - 9*x - 7. Let c be y(-7). Let g = 21 - c. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 104.382 and -0.4?\nAnswer: 104.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -202, -3 in decreasing order.\nAnswer: 1, -3, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -1210 (base 3) to base 15.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/12)\/(4\/(-8) - (-3 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -210.1 - -210. Which is the nearest to j? (a) -3 (b) 1\/90 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -2*(-3)\/(-36)*3\/3. Which is the fourth biggest value? (a) 5 (b) m (c) -3 (d) -1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 6 = -1. Suppose -a*w = -111 - 234. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -11*x - 1. Let n be a(-1). Let q(y) = -y**2 + 3*y + 4. Let m be q(4). Let c be (m - -10)*(1 + 1). Calculate the highest common divisor of c and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -13, -43, -77, -115, -157?\n\"Answer: -2*o**2 - 24*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:03 PM and 11:46 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2971252 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 value of ((-281)\/((-200915)\/25311))\/((-3)\/(-5))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -169 or -190?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -15876, -32067, -48238, -64383, -80496, -96571, -112602, -128583?\n\"Answer: o**3 + 4*o**2 - 16210*o + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 25371*i**2*p**2 - 234*i**2*p + 111149*i*p + 27*i - 4*p**2 wrt i.\nAnswer: 50742*p**2 - 468*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 10*s + 1 + 3 - 18*s in the form b*s + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 219 + -213. Find the third derivative of 1057*l**5 - l**3 + r*l - 2*l + 8*l**2 - 969*l**5 wrt l.\nAnswer: 5280*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7324348 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: ((-74)\/148)\/((-1)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 6*h - 3*b = 6, -3*b - 8 = 2*h. Suppose -h*t + 73 = -383. Suppose 0 = -17*w + 469 + t. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4cc000 (base 13) to base 8.\nAnswer: 7045474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 4964, 9964, 14948, 19910, 24844, 29744, 34604, 39418?\n\"Answer: -w**3 - 2*w**2 + 5013*w - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h**2 + 12*h - 1. Let l be ((-39)\/12)\/(2\/8). Let s be z(l). Suppose -26 = -9*b + 28. What is the greatest common factor of s and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44*q - 24*q + 126*q + 35*q + 14*q.\nAnswer: 195*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -d + 119*r + 37 = 115*r, 21*r + 5*r = -2*d - 198 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 4*v + 3*v - v - 3*v + 2*v - 4. Let r(b) = 9*b - 7. Give 7*d(n) - 4*r(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**3 - 6*c**2 - 11*c - 4. Let y be 3 + 1 + 2 - -2. Let b be m(y). Let h = b - 13. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1147 = 59*f - 33. Solve -2*a = -4*w - 16, 5*w - f*a = -18*a - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2.699897 + -2.7. Round b to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 79 divide 392467023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 2*j**2 - 26*j + 73. What is c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(1\/11))**(15\/7)*((b*b**(-3\/5))\/b)**(-2\/97) assuming b is positive.\nAnswer: b**(7737\/37345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 9? (a) 0.3 (b) 5 (c) -11 (d) -2\/3 (e) 501 (f) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (0 + (sqrt(28) - sqrt(7)) + 5*(sqrt(7) + sqrt(7)*-2 + sqrt(7)))**2 - (-4*(sqrt(7) - sqrt(7)*1) - sqrt(70)\/(sqrt(10)*-1))) + 0.\nAnswer: -sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let j be ((-88)\/264)\/(-3 + 2). Which is the second biggest value? (a) 501 (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x - 37 = -1. What is the lowest common multiple of x and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 - -4. Let z be 10\/15*m + 2. Suppose z = -3*d - 0*d + 180. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 46524, 92977, 139276, 185343, 231100?\nAnswer: 276469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0.0522 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 923 divided by -4838.\nAnswer: -923\/4838","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 0*y = v - 79, -2*y = -2*v + 134. Let r = -48 + v. What is the highest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*6*((4 + sqrt(2) - sqrt(2)) + 4 - sqrt(12)\/sqrt(600))**2.\nAnswer: -9603\/5 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -3*a - 40 + 3, -12 = 4*a. Let r = k + -2. Suppose -2*l + r*l - 21 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 22393 - 22399. Suppose 6*h = 3*h - 441. What is the tens digit of h*4\/8*8\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**3 - 35*v**2 - 949*v - 281. Calculate m(53).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 11, u: 4, y: 4}. What is prob of picking 3 y and 1 j?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 43, 57, 71, 85?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p - 29 = -4*h, h - 10 = 3209882*p - 3209878*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7312 - 7312.5. What is the nearest to 0.4 in -4, l, 0, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 6 - 8 = 0. Let b(m) = 10*m + 24. Calculate the lowest common multiple of 230 and b(h).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 4 = -2*i - 0, -3*l + 11 = -5*i. Let d(h) = 3 + h - 2*h**3 + 8*h - l*h + 0*h + 6*h**2. Let s be d(7). What is s rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -252 - -117. Let z = b + 138. Solve -12*p + 5*p**z - p**3 - 83 + 75 = 0 for p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7*h**4 - 6*h**4 - 8 + 2*h**4 + 2 wrt h.\nAnswer: -44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6e2b + 0?\nAnswer: -6e2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the second derivative of -z**7\/98 - z**6\/14 - 6*z**5\/35 - z**4\/7 + 37*z. Let v(p) = 0. Calculate p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 4*z - z**2 + 2*z**2 + 4*z - 13. Let b be (-8)\/4*(-44)\/(-8). Let f be c(b). What is the greatest common divisor of f and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 389954125?\nAnswer: 5, 11, 53, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Are -554\/9 and 18\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (13 + 4 + -12) - (26 - (7 - -33))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.2 times 261\nAnswer: -52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4\/5, 5\/377, -0.5?\nAnswer: 5\/377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 23622 and 7366.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q + 3. Let c(w) = -144*w + 3. Give c(v) - 2*z(v).\nAnswer: -142*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 6\/7, -6\/2191, 0.3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2955*j**2 + 5910*j**2 - 2952*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**4)**(-3) assuming i is positive.\nAnswer: i**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*l + 38 + 238 + 39 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3555 = 257*v + 54*v + 445 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14 - a**2 + 17 + 10 - 41.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + 1 + 494\/(-130) - (-728)\/(-40).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and 2085?\nAnswer: 6255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 409155991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u*(u*u**(-7)*u)\/u*u)\/((u\/(u\/(u*(u**(-11)\/u)\/u*u)*u))\/u))**44\/(u**(3\/2)\/u**(-2\/3))**39 assuming u is positive.\nAnswer: u**(711\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 6, -3, 0.\nAnswer: -3, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2707.\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Total of 5696 and 0.148.\nAnswer: 5696.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -144 + 144 - 3*d**2 - 5*d**2 as l + v*d**2 + r*d and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -1 - (-6 - (1 + 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 53*g**2 - 1292 + 2926 + 69*g**2 - 1634. Let z(y) = 2*y**2 + 48*y. Calculate z(l(d)).\nAnswer: 29768*d**4 + 5856*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 385 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 3*f - f. Let q = 1.7364 - 2.2364. Let l = -37 + 37.04. Which is the nearest to l? (a) q (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-12*13\/(-780))\/2\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the third derivative of -77*q**5\/4 - q**4\/12 - 4465*q**3\/6 + 3538*q**2. Differentiate r(v) wrt v.\nAnswer: -2310*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 64 and 24160?\nAnswer: 48320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*t + t**2 + 5*t**2 - 3*t - 13*t**2 - 1616.\nAnswer: -7*t**2 - t - 1616","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g, 1 d, and 1 v when four letters picked without replacement from gdhgvddvghvfvgvfhv.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2.06552359 + -153.06552115. Let z = -434 + 283. Let a = k - z. Round a to seven dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -42ba51 (base 13) in base 4?\nAnswer: -11332313121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0947 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**2 + g + 7. Let s(w) = -w - 1. Let x(v) = l(v) + 4*s(v). Let p be x(-4). Let q be (p + -56)*1\/(-9). Is q less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -0*j - 1. List the prime factors of 60 - -2 - (-1)\/j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*t - 1584595 = 823464 - 364160. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m - g + 4, -4*m - 4*g = -2*g. Let p be (-139)\/2*(-6)\/(-465). Let n = 28\/31 - p. Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -27\/1529 and 14\/5013591?\nAnswer: 5013591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -2*j**3\/5 - 76*j**2\/5 - 10*j + 888\/5 = 0.\nAnswer: -37, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -134, -267, -412, -575, -762, -979, -1232?\nAnswer: -1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5)\/((-50)\/84)*2\/40*-50.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 17\/8 - 5\/8. Let h(c) be the first derivative of 0*c + n*c**2 - 2. Let s(r) = r. What is s(h(l))?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 16*w**3 - 5*w**2 + 3*w + 82 wrt w?\nAnswer: 96*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*g**2 - 2*g**2 + g**5 + (-7*g**3 + 14*g**2 - 14*g**2)*(0*g**2 + g**2 + 3*g**2) + (-3*g**3 + 2*g**3 + 0*g**3)*(-1 - g**2 + 1).\nAnswer: -26*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 38*q. Let w be f(2). Suppose -w + 268 = 4*i. What is the highest common factor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000366025 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 5 - 1)*(-v + 0*v - v)*(-1 + 1 - 1) as u*v + b and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 20327*y - 2216*y + 1 - 41326*y as p*y + w and give p.\nAnswer: -23215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4780 is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 7164*c - 54571 - 85414 = 62808 + 19291 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/c**(-1)*c**(-4))**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 21716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:10 AM and 7:30 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1590 - 2560. Let c = -483 - t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2*m**3 - 1)*(-3276 - 3*m - 7*m + 3302).\nAnswer: 20*m**4 - 52*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 361.79 - 362. What is the smallest value in 0.3, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2 + 1 + 1 + 7. Suppose -4 = -i, -5*t - i = -1 - 18. Solve 2*r - x = 5*a, t*a + 9 = r + r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = u - 9. Let n be 4\/(-14) - (-130)\/14. Let f be d(n). Solve f = 4*q + 6 + 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/(-18))\/(22*40\/(-2640)*3\/4).\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3610\/68780*(-16)\/(-76)?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7919 + 14088. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1a879b63 - -3?\nAnswer: -1a879b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 56917714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the third derivative of -l**5\/12 + 35*l**4\/24 - 25*l**3\/3 + 413*l**2. Find c, given that u(c) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -147, -295, -443, -591, -739?\n\"Answer: -148*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.193 - -0.007. What is the fourth biggest value in 0.1, -3, -0.3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 4, s: 5, l: 3}. Give prob of sequence pl.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*p**2\/4 + 91743*p\/4 + 1515393\/2.\nAnswer: -3*(p - 30614)*(p + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m**2 - 6*m**2 + 3*m**2)*(-2*m + 3 - 3)*(0 - 2 + 5).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 35.087 + -0.087. Let k = h + -41. Is k bigger than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 194 (b) 4 (c) -1 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 679 - 675. What is the fourth smallest value in 1\/5, 0.026, 0.5, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 44234415 and 193230.\nAnswer: 5085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 0.01*25534.756\nAnswer: 255.34756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (3 - 6) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2 (b) -23 (c) 0.3 (d) 5 (e) -3\/7 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 112600787 to the power of 1\/2, to the nearest integer?\nAnswer: 10611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 9*j - 14. Let k be ((-2)\/(-5))\/((-72)\/15 + 5). What is the least common multiple of b(k) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.53627 - 2.2.\nAnswer: -3.73627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l**3 - 2*l**2 - 2*l. Let y be f(-2). Suppose 13 = 3*x + y. Let q be -1 + x\/(-2 - -5). Is 9 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1762 take away 21161958364?\nAnswer: -21161958363.8238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 100871007?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zxxz. Give prob of picking 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:12 AM and 2:07 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 14761 + -2559.2686.\nAnswer: 12201.7314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 1 - ((-1 - 9) + 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 20 = 0, r = 2*r - 2*g - 2. Let w(f) = -2*f - 3. Let s(t) = t + 2. Let z(v) = 4*s(v) + 3*w(v). What is z(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(2\/29)\/q)\/q**(3\/8) assuming q is positive.\nAnswer: q**(-303\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**2 + 27*l + 2. Suppose -2*q - 13 = -c, 4*c - 7*q = -4*q + 57. Let u be t(c). Calculate the greatest common factor of 26 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 760?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g = -5*d - 26, 13*g + 3*d = 18*g - 22. Suppose 25*y - 24*y = n + 14, 4*y + g*n - 56 = 0. What is the remainder when 35 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.09 - 6.09. Let p = -1.81 - 9.19. Let z = w - p. What is the third smallest value in z, 1\/5, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 - 6.3. What is the biggest value in l, -1, -1.4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14711013?\nAnswer: 3, 1634557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d + 1. Let l be g(-6). Suppose 5*o = 25, l*v + 9 = 4*v + 3*o. Let y(x) = x + 10. Let m be y(-7). Which is smaller: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0*(66\/5 - (-61 + 74))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w**(-4))**(-4\/25))**(-8\/5))**41 assuming w is positive.\nAnswer: w**(-5248\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*v**3 + 3*v - 3*v + 17*v**3 - 2*v**2.\nAnswer: 20*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4.093 in -1\/4, -9, -96?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*n = -8*n + 1485. Let i = -111 - n. Calculate the highest common divisor of i and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 126 - 142. Let b = s + 15.9999729. Round b to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.282 - -0.118. Let k = -1.819 + 2.019. Which is the nearest to k? (a) h (b) -2\/11 (c) -0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -c + 10*c + 224 = -3*m + 5*c + 7*c + 80, -26*c = -104 for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.01 + -0.41. Let h(m) = -m**2 - 8*m - 8. Let p be h(-6). Let g = -7 + p. What is the second smallest value in g, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z = 2*m - 13, -8*z + 5*m - 20 = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i**2\/13 + 308*i\/13 - 608\/13 = 0.\nAnswer: 2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * -0.5675.\nAnswer: 0.5675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 - 24\/((-24)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/5 (b) 1\/2 (c) 1048 (d) 4 (e) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Work out -0.13 * 5644119.\nAnswer: -733735.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.13 (b) -0.3 (c) -71\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-316)\/(-44) - 49\/7.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (16 - 16 + 3*f**2)*(-42*f + 1 + 10*f + 20*f) as b + v*f**2 + j*f**3 + m*f and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -24361 + -229?\nAnswer: -2458a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by 146061\nAnswer: 5\/146061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sum 577579 and -0.094295.\nAnswer: 577578.905705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16567 - -16565.0396. What is t rounded to 2 dps?\nAnswer: -1.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*x - x - 2*x)*((1 + 1 - 1)*(4 - 3 + 2) - 3 + 0 + 4)*(5 - 4 - 4) to i*x + z and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/m**(2\/7))\/(m\/(m\/m**(4\/9))))\/(((((m*(m\/m**(-1\/3))\/m)\/m)\/m)\/m)\/m**(1\/2)) assuming m is positive.\nAnswer: m**(307\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + i = -92823996, 23205980 = 10*d - 9*d - 5*i. Round d to the nearest 100000.\nAnswer: 23200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(1377) - (sqrt(1377)*1 - sqrt(1377)))*6.\nAnswer: -108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -45, -90, -135, -180?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 21997, 45688, 69381, 93076, 116773, 140472?\n\"Answer: k**2 + 23688*k - 1692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -441, 3 in decreasing order.\nAnswer: 3, 2, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**2 + 2*k - 2. Let z(d) = -3*d**2 - 76*d - 160. Let s(p) = -6*c(p) + 3*z(p). Solve s(u) = 0.\nAnswer: -78, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = j + 4*w + 1, 2*w - 11 = 3*j. Let z be -8*(6 - (-25)\/(-4)). Suppose -3*b + 9 = z*i, 0 = -4*i + 2*b - 6*b + 12. Which is smaller: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k - 4, 0 = -h + 2*k + 22 - 11. Suppose -p + 5 = 0, -n + 3*n + 4*p - 6 = 0. Let t be (-25)\/7 - 21\/n. What is the biggest value in t, 1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1751 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from yqofoyyqoqhoqofqho.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:19 PM and 9:03 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 73170689 is divided by 1829267.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 5*i + 117. Let p be g(-23). Solve -4*f = -4*t + 16, 3*t - 11 = p*f + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-90)\/225 + 68\/220.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is o in -4*o**3\/3 - 6164*o**2\/3 - 2282780*o\/3 + 71482100\/3 = 0?\nAnswer: -785, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20 - -26) + -1 + (-2 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) -3\/88 (b) -1\/5 (c) 50 (d) -1 (e) -4\/9 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l - 3*x + 10 - 103 - 21 = 0, -580 = 17*l - 5*x for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cceeeeeee. Give prob of picking 1 c and 3 e.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1440162 to three decimal places.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l = -2*l - 36. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.06 - -2.94. Suppose -6 = -2*n - n. Let t be 3\/6 - 5\/n. What is the nearest to -0.1 in t, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -37 + 39. Suppose 3*m - 10 = -g - 3, 2*g = h. Let z(s) = -11*s**2 - 2 + 46*s**2 + m. Let t(p) = -2*p**2. Give z(t(r)).\nAnswer: 140*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 2*z**2 - z + 13. Let b be t(7). Suppose -3*o - b = -4*x + 177, 0 = x + 3*o - 74. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -2*y**2 - 11*y + 7. Let t(u) = u**2 + 6*u - 4. Let a(p) = -4*k(p) - 7*t(p). Let b be a(-2). Solve -q + b = 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (68\/(-12) - -6) + 10\/6. Solve -3*b + r*b = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l - 15515 = -15431 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + (2 - 0) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z**(8\/5)*z)\/z)\/z**(-7))**19\/(((z*z**(11\/3)*z)\/z)\/z*z\/(z**(-1\/3)*z)*z)**(28\/5) assuming z is positive.\nAnswer: z**(677\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 17*c**3 - 15*c**2 - 4*c + 6. What is the remainder when k(3) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*z**2 + 759*z**3 + 3768*z**3 - 21*z**2 + 38*z**3 - 2.\nAnswer: 4565*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*sqrt(114)\/sqrt(6) - (sqrt(19) + sqrt(171)\/(-1*sqrt(9))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the first derivative of 34*u**3\/3 - u**2\/2 - u - 2. Let r be d(-1). Suppose 0 = -4*j + 74 + r. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 67940 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k. Let z be ((-13)\/3)\/((-4)\/12). Let f(c) = -13 - c + z. Give f(m(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 446185256 to the nearest integer?\nAnswer: 21123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -404, -366, -342, -338, -360, -414, -506?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -1 - 2. Suppose 0 = -3*w + j*h + 18, -2*w + h + 11 = 2. Suppose -q - a + 3*a = -11, -w*a = q + 4. Solve q = 5*c - 2*s - 0, 3 = 3*c - s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 2*d**2. Let t(z) = -3 + 0 + 0*z - 9*z. Let x(r) = 18*r + 5. Suppose 3*w = 4*w + 5. Let o(k) = w*t(k) - 3*x(k). What is i(o(f))?\nAnswer: 162*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*2*sqrt(132)*-5)\/((sqrt(96)*-1)\/sqrt(8) - (sqrt(192) + (2*sqrt(192) - sqrt(192)))).\nAnswer: 10*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-18))\/(1764\/1381212)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 4183702 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27071 is divided by 6670.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -217, -567, -917, -1267?\n\"Answer: -350*u + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-162)\/(-405))\/(2\/20*-1). Let a = -5.7 - -9.7. What is the smallest value in 1\/3, g, a, -3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.57 + 0.07. Which is the smallest value? (a) 1\/2 (b) -3\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 135*v - 32*v - 206. Find k such that 2 - 1\/3*k**v + 5\/3*k = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -57564510 rounded to the nearest 100000?\nAnswer: -57600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000407625 rounded to 6 dps?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5495a752 + 2?\nAnswer: -5495a750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1077?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 98190 + 4?\nAnswer: 98194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/11, 0.1, -1\/2, 4\/15 in descending order.\nAnswer: 4\/15, 0.1, -2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1*(0 - (-2)\/(-1)). Let l = -0.7 - -1.2. Let m = 259\/6 + -43. Which is the third biggest value? (a) l (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-304)\/(-156) - (-36)\/702.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Add together -2162 and 0.07.\nAnswer: -2161.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 504270 (base 12) to base 11.\nAnswer: 785257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 - 1010100001000111001?\nAnswer: -1010100001000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3786955660 to the nearest integer?\nAnswer: 61538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) -4 (b) 50 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 14 = 5*z + 4, -4*k + 4 = 4*z. Let n(l) = -2*l**2 + 8*l + 6. Calculate n(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -166, -114, -38, 68, 210?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add 0.03 and -1.443.\nAnswer: -1.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 5*y = 16, -2*w + 2*y = 3*w - 18. Find the third derivative of 0*x**w + 76*x**4 + 7*x**2 - 119*x**4 wrt x.\nAnswer: -1032*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -404 = 17*n - 13171. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the third derivative of -2*n**6\/15 + n**5\/15 - 5*n**4\/24 - 19*n**3\/6 - 39*n**2. Let r be c(-3). Calculate the highest common divisor of 58 and r.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 7*r + 122. Let v be u(-17). Solve 0 = 4*n - n - v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 32 + -4 + (-469 - -422).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1\/108 + -35\/108. Which is the closest to l? (a) -2 (b) 0.2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -457, -1271, -2627, -4525, -6965, -9947, -13471?\nAnswer: -17537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -11.13 + 0.13. Let o = -11 - p. Which is the closest to 2? (a) -0.1 (b) o (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-four fifths of a millennium in years?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 82 (base 14) to base 13\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 1 s, 1 l, and 1 j when four letters picked without replacement from {t: 2, e: 1, l: 1, j: 1, m: 1, s: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-711)\/(-24) - (-3)\/8 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 382, 2\/3, -1\/3, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 16 + 55)*(4*d - 3*d - 13 + 16) as u + z*d and give z.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the second derivative of -g**3\/3 - g**2 - g. Suppose -4*o = -5*m - 34, -2 - 12 = -o + 4*m. Let y(b) = -9*b - 9. Give o*y(f) - 26*i(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**2 - 7*x + 7. Let i be p(6). Let l = 4 + i. Suppose -l*q = -0*u - 3*u - 30, 3*u + 21 = 2*q. Sort q, -8, 1 in decreasing order.\nAnswer: q, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1727388 is divided by 365?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 549 minutes before 9:46 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 3*v**2. Let h(m) = 28*m - 222. What is y(h(f))?\nAnswer: 2352*f**2 - 37296*f + 147852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:16 AM and 2:24 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sum -78.995 and -792843.\nAnswer: -792921.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 244*l + 339*l - 2915 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18739 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -1338*n - 16044. What is u(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 1 - 4 - 6*d + 5*d. What are the prime factors of i(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*l + 0 - 2\/9*l**2 = 0.\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be 10\/5 - (-42)\/1. Let d = i + 96. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 154708, 155412, 156116, 156820, 157524, 158228?\n\"Answer: 704*g + 154004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one halves of a day in hours?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-12)\/(-21))\/(16\/56). Is (-9566)\/(4\/4 + -5 + r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -216*t + 1015 = 12679 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from {z: 17, g: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 47929 divided by 4?\nAnswer: 47929\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -13\/496 or 1?\nAnswer: -13\/496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1279*m*p**3 + 2*m*p**2 - 2477*m - p**3 - 1 with respect to p.\nAnswer: -3837*m*p**2 + 4*m*p - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 10 = -c, -4*c + 12 = c - g. Calculate the greatest common factor of 82 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 5 = 21. Let j = 80 + -84. Let s = -1\/22 + -19\/66. What is the nearest to -1 in v, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 429 - -3?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 42 - 28. Let r = b - 14. Is r greater than 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1274399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14 - 11. What is the second biggest value in -5, t, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*f**2 + 2805*f - 219490.\nAnswer: -5*(f - 467)*(f - 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-100*n + 212 + 168*n - 64*n)*(-8*n**2 + 9*n**2 + 13*n**2) to the form q*n + p*n**3 + y*n**2 + s and give y.\nAnswer: 2968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**2 + 3*b - 36. Determine h(-8).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*o**4 + o**5 + 3*o**4 + (-2*o**4 + 2*o**4 + o**4)*(19*o - 9 + 9) + (-5*o + o**3 + 5*o)*(0*o**2 + 4*o**2 - o**2).\nAnswer: 23*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2*1\/2 - -1. Suppose i = x - 0*x + 1. Let g be 0\/2 + 6\/21. Is x at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + 325. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*k**2 - 3*k**2 + 2*k**2)*(-2*k + k + 0*k) + 2*k**3 - 5*k**3 - k**3)*(-1 - k**2 + 0 + 2).\nAnswer: 3*k**5 - 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1240661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:48 PM and 12:52 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k**3 - 307076*k**2 - 8901952*k - 8594880 = 0 for k.\nAnswer: -76740, -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -5*s**2 + 4. Let p(x) be the third derivative of -x**5\/15 - 5*x**2 + 20*x. Determine l(p(h)).\nAnswer: -80*h**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i + 10 = -8. Calculate the highest common divisor of i and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2 + -1 + 2*1. Let f = -20 - -14. Let t be (f\/(-12))\/(1\/54). Calculate the greatest common factor of t and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8b9d4 (base 15) in base 6?\nAnswer: -13305101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13 + 10 + 27 + a**2.\nAnswer: a**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fyfyyf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37 = 5*r - 4*t, 0 = 2*r - 2*t - 8 - 8. Solve -5 = -o + j, r*o + j = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 4*o - 10 = -p, 0 = -5*p + o + 61. Suppose -1197 = p*f - 20*f. Is 57 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 21*h. Let g(z) = 46*z**2. Give g(k(f)).\nAnswer: 20286*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -5*n + 91, 0 = -3*n + 6*n - c - 56. Solve 23*o + 20 = n*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 4052, 32425, 109522, 259733, 507448, 877057, 1392950?\n\"Answer: 4065*t**3 - 28*t**2 + 2*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/2)\/1*-30*4\/(-20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the second derivative of j**3\/6 - 21*j**2\/2 + 2262*j. Let r(w) = 5. Calculate 2*l(c) + 9*r(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**3 + 87*q**2 - 64*q - 2314. What is the thousands digit of j(-73)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -56 or -58?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4474 - -4453. Let f = -8613\/428 + 40\/107. Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -213*o - 60864. Calculate a(-285).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (0 - 164332)*(100\/(-16) - -6)?\nAnswer: 7, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**2 - j + 8. Let a be m(8). Let b be 6\/4*a\/24. Let x = 8 - b. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 18 - 4*d + 2*d - 17.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 137625652?\nAnswer: 2, 23, 173, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 7889772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(69\/(-46)*-18)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66 = -2*v + 14. Suppose 66*o - 70*o + v = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-8)\/6 + (-160)\/(-48) + (-84)\/48. Put f, 0.1, 2.8 in decreasing order.\nAnswer: 2.8, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 PM and 12:24 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-2)\/5)\/(4\/(-230)). Let s = a - 8. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11\/((-14993)\/(-19024)) + (-14)\/1.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 313763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 123 - -12506?\nAnswer: 12629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -46 + 67. Suppose -2*r = i - 81. Suppose -2 = -2*m - 4*h - 0, -2*m + 3*h + r = 0. What is the remainder when 15 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1719*o**3 + 9455*o**3 - 7733*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 208 = 7*c + 8*c + 196 - 573 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the first derivative of -b**6\/720 + b**4\/48 + 2*b**3\/3 - 2. Let q(k) be the third derivative of d(k). Factor q(f).\nAnswer: -(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*n**2 - 3*n**2 + 235 - 235.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.5 times 35248?\nAnswer: -17624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.114849 and -998.\nAnswer: 114.619302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 0 - (-1 + -3 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 225 - 29. Is q a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/3 <= 458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 30275193 to the nearest integer?\nAnswer: 5502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -3*v - 2. Let i be t(-1). Which is the closest to 2? (a) 5 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -588, -1186, -1802, -2436, -3088?\n\"Answer: -9*w**2 - 571*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y**3 - 13*y**2 - y + 18. Let b be z(13). Suppose -b*t + 21 = 31. Let r = -3112\/99 + 278\/9. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.5, 5, -6\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(2*-1*sqrt(99) + (sqrt(99) - sqrt(99)*-1)*-1))\/(((sqrt(324) - sqrt(36))*-2)\/(sqrt(4) - (sqrt(12)\/sqrt(48) + sqrt(4)))).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 57693000 rounded to the nearest one million?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 41 = -4*g - 0, -5*g - p = -40. Let s(t) = -9*t + t**2 + g*t. Let r(f) = -9*f**2. Give s(r(k)).\nAnswer: 81*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000368 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 352*j + 133 - 133 to c + i*j and give i.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 237261 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -656962093*f. Let z(c) = -2*c**2. Determine z(t(m)).\nAnswer: -863198383277881298*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 30 and 191700.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kfpcffpkpncp. Give prob of sequence kn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -42364*c**6 + c**4 - c**2 + 12521*c + 13?\nAnswer: -5083680*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 75253121 to the nearest integer?\nAnswer: 8675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -8, -212, 4, 2 in increasing order.\nAnswer: -212, -8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -9 (b) 0.3 (c) -5 (d) -4 (e) -1\/64\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1358754459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of 11047*i**5\/10 + i**4\/24 - 15*i**3\/2 + 133*i**2. Let m be z(-5). Round m to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*n + 3*n + 1100 = 0. What is the greatest common factor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -383 + 407 - 11*r**2 - 5*r**2 with respect to r.\nAnswer: -32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 3*s + 5*k, 5*s - 2*k - 14 - 24 = 0. Let i = -16 + s. Let u be (-4 - -6) + -12 - 1. Which is greater: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001111011 - -10?\nAnswer: -1001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 8 (b) -0.0323 (c) -21 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 24261492 and 888?\nAnswer: 48522984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, p: 1, u: 2, m: 1}. Give prob of sequence xm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1200 is divided by 197.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/366 and -17\/1586?\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11 - 13. Let p = 2 - t. What is the third biggest value in p, 0.5, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3516*i - 1750*i - 1572*i)*(i**4 + i**4 - 3*i**4).\nAnswer: -194*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 116990, 116995, 117002, 117011, 117022, 117035, 117050?\n\"Answer: o**2 + 2*o + 116987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -11 (b) 3\/8 (c) -0.3 (d) -1.2 (e) -1\/4 (f) 5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - (-6 + -6 + 9 + 22).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 5) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 63 + 57. Calculate the greatest common factor of 24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2335 and 745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 23\/7 - (-2)\/(-7). Suppose 0 = -r - l + 5. Suppose -7*z + 45 = -r*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 - 2) + 6 + 2. Let c = r + -6. Suppose -9 = 5*q - w, 5*w - 12 = -5*q + 3. Put 4, q, c in descending order.\nAnswer: 4, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 102 = 6*p. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 161771150 a multiple of 5959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -25*a**3 + 10*a - 7*a**2 + 3*a**2 + 8*a**4 - 2*a**5 - 4 + 17*a**3.\nAnswer: -2*(a - 2)*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/1*(-42)\/280*8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*y + 6*y + 2*y)*(-10*y**2 + 6*y**2 - 2*y**3 + 8*y**2 + 1).\nAnswer: -10*y**4 + 20*y**3 + 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6765 - -6795. What is the fourth smallest value in b, -0.1, 0.08, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**3 + 4*d**2 + d - 2. Let u be j(-3). Sort u, -1, 3 in increasing order.\nAnswer: -1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**3 + 2*s**2 - s - 3. Let p be (-6 - -1)*-1*(-400)\/125. Let d = p + 13. Give x(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7099688.\nAnswer: 2, 73, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.8 (b) 5 (c) 464 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2 + (0 - 0) - (0 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -556*o**3 + 19*o**2 + 2*o + 7. Let d(k) = 1113*k**3 - 39*k**2 - 5*k - 15. Let c(y) = -2*d(y) - 5*r(y). What is the third derivative of c(j) wrt j?\nAnswer: 3324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 6941 by -15070.\nAnswer: -631\/1370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 12? (a) 1.2 (b) -2\/9 (c) 1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 59, 119, 179, 239, 299?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 20113*i**5 - 2*i**2 + 718*i + 3 wrt i?\nAnswer: 1206780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 685878163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 11*d = 8*d - 70520, 3*r + 2*d - 42331 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:54 PM and 8:41 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ppp when three letters picked without replacement from ppmpppppmpppppmp?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 566 = m - 553. What are the prime factors of m?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, a: 2, q: 6, z: 5, l: 1}. Give prob of sequence jql.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 2826356546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 721*k = 120*k + 1803. What is the highest common divisor of 7071 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5*((-319)\/5 - -1). Suppose -894 - 10 = 6*d + 254. Let u = d - s. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 93*r + 88*r + 90*r - 284*r + 4*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5416 is divided by 4886?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1652621.5*-0.4.\nAnswer: -661048.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0059122108 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the second derivative of 0 - 47*d - 5\/3*d**3 + 4*d**2 + 1\/6*d**4. Factor j(x).\nAnswer: 2*(x - 4)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5253 + 1881 = -12*t. What are the prime factors of t?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10010 + 1110111?\nAnswer: 1100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11 + 15*m**2 - 9 - 2 + 28.\nAnswer: 15*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -34450 divided by 1\nAnswer: -34450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 2 = 3*m + 7, 2*m = -10. Let h = -7 - -5. Let q(g) = g**3 + g**2 - 4*g - 3. Let z be q(h). Solve -k*d = -z + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 5)*(h - 3*h - 7 - 3*h**2 + 8).\nAnswer: -6*h**2 - 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*k + k**4 + 2*k + (0*k - 3*k - 4*k)*(0*k - 5*k**3 + 0*k) + (-1 + 1 - 2*k**3)*(3*k + k - 2*k) - 3*k**4 - 2*k**4 + 6*k**4.\nAnswer: 33*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1729545.\nAnswer: 3, 5, 115303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 7795*o - 1443 - 1420 + 2863 as g*o + d and give g.\nAnswer: 7795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t**3 - 17*t**2 + 15*t - 23. Suppose -3*p = 89 - 35. Let k be l(p). Let i = k - 27. What is the smallest value in i, -0.05, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 * 39117.88\nAnswer: 78235.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 26715 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(637) - (-3*sqrt(637))**2)*4.\nAnswer: -22932 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 + -363?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (216\/32)\/((-16)\/(2048\/24))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3262182 and 759?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9509\/(-185)*(-119 - -4)?\nAnswer: 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.062115 * -0.9.\nAnswer: -1.8559035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5 and -147.\nAnswer: -73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 10955*n**3 + 37*n**2 - 73*n + 16. Let a be c(16). Round a to the nearest one million.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.011 - -1.011. Let z = 439 + -442. Sort z, -5, d, 4 in descending order.\nAnswer: 4, d, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17251 = 1209*c - 2743 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -23 - -91\/2. Suppose 742*v + 48 = 744*v. Is f less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 0.3, 40, 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v**5 + 184*v**4 + 2424*v**3 + 1088*v**2 - 119068*v - 117912 = 0 for v.\nAnswer: -17, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {p: 3, r: 15}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4*-7*4\/(-196) - (-876)\/(-84)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 200 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**3 - 3*k**2 - 4*k - 2. Let y(f) = -f**2 - f + 1. Let r(q) = 5*q**2 + 5*q - 4. Let w(z) = r(z) + 4*y(z). Let o(g) = -i(g) - w(g). What is o(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 232 divided by -232\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -97, -80, -89, -130, -209, -332, -505?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 2*h - 1 = 0, 6*j = 5*j + 4*h - 1. Suppose j*k + 7 = 2*v, 3*k + v = 4*k + 1. Let t(i) = -i - 3. Calculate t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 63 = -4*k - 41. What is the tens digit of (1 - -1)*k\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 0.413 and -18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -28 - -58. Suppose 5*a + 0*a = -3*n + z, -5*a = -2*n - 5. Solve -3*h - 2*d = -7, -n*h + 15 = -0*h + 4*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*k**5 + 445*k**4 + 425*k**3 - 1345*k**2 - 2210*k - 880.\nAnswer: 5*(k - 2)*(k + 1)**3*(k + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 402 and 1340?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.1 - 0.3. Sort -16, o, -0.2.\nAnswer: -16, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 7*m**2 + 4*m**2 - 9*m**2. Suppose a = -a + 26. Let o(r) = -6*r - a*r - 14*r + 35*r. Determine o(x(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*c**3 - 12*c**3 - 2*c**3 + 11*c**3 + 0*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 109634*l + 109630*l + 109636*l - 328886*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -21 + 8*l**2 - 4*l + 14*l**3 - 17*l**3 + 7 + l + 4*l**3. What is g(-9)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b + 8 - 3. Let m(f) = 2*f**3 + 4*f**2 - 4*f + 2. Let x be m(b). Let q be 18\/4*x\/(-6). Calculate the greatest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 983029 divided by 4\nAnswer: 983029\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 868*y + 11 - 355*y + 9 + 505*y - 18.\nAnswer: 1018*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4.1515 - 4.097913. Round l to three dps.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.13 - 15.13. Let w = -13839.89 - -13840. Which is the smallest value? (a) w (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 14 = -2651*l + 2653*l, 3*b = 2*l + 22. Sort 1\/4, -0.1, 8, b in increasing order.\nAnswer: -0.1, 1\/4, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6 - -1)*672\/(-210)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4.5 + 5.4. Let z = a - 1.2. What is the third smallest value in 5, z, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 965 is divided by 956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 153411.\nAnswer: 3, 51137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8552 and 22?\nAnswer: 94072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -9*h + 8. Calculate the remainder when 31 is divided by k(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 10 - 9. Which is bigger: -2\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*l**3 + 0*l**2 + 0*l**2 + (-4 + 2 + 0)*(2*l**3 - 1 + 1) - 3*l**3 + 2 - 2 - 4*l**2 + 2*l**2 + 2*l**3 - 3*l**3.\nAnswer: -10*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (6\/5)\/((-690)\/(-2300))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the first derivative of 2*d**2 - 24*d - 7. Let p be s(-10). What is the units digit of p\/6*9\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 s, and 1 w when three letters picked without replacement from sluufkfwsfkw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 17622 * 20.3\nAnswer: 357726.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x**4\/19 - 33514*x**3\/19 + 140381762*x**2\/19 + 7393806*x - 14780556 = 0.\nAnswer: -2, 1, 8379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -8284, -8450, -8616?\n\"Answer: -166*i - 8118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 2216724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:31 AM and 1:23 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -q - 205 = -5*a, 16*q - 13*q - 5*a + 47 = -148 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that -2*t**4\/3 + 13582*t**3\/3 - 108550*t**2\/3 + 149186*t\/3 + 90440 = 0.\nAnswer: -1, 4, 5, 6783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12 + -8. Let n(h) = 2 - h + 3 - i. Let x be n(-4). Solve 0 = 5*c + 4*m + 4, -x*c - 2 = 2*m - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17663567723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 137737 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f + 5*v = -35, -2*v = 5*f - 12 - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3*i**4*v**3 + i**3*v**3 - 185*i**3*v**2 + 2*i**2*v**2 - i**2 + 9*i*v**3 - 2*i wrt i?\nAnswer: 72*i*v**3 + 6*v**3 - 1110*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -37 (b) -0.2 (c) 2\/11 (d) 1 (e) -3 (f) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/54332 and -121\/238?\nAnswer: 380324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 604*w - 617*w - 6 = -4*g, -12 = 2*g + w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 6351663 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -4793a (base 12) to base 8\nAnswer: -274176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01527332405 rounded to four decimal places?\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes before 9:41 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17, -8, 13, 52, 115, 208, 337, 508?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 138\/1540 - (-5238)\/(-73332).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1033400 and 93006?\nAnswer: 9300600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -2*o - 8. Let m be z(-6). Suppose -m*n - 9 = -73. What is the smallest common multiple of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 24 - 450*p + 237*p - 24 + 236*p. Let w(i) = -17*i**2. Calculate w(q(b)).\nAnswer: -8993*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88*n - 127781 = 83*n - 2*g, -g - 7 = 0. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n**4\/3 - 7*n**3\/3 - 39*n**2 + 297*n = 0. Calculate n.\nAnswer: -11, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 * 211342.19.\nAnswer: -63402.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 21013 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 16 or 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 22, 35, 74, 151, 278, 467, 730?\n\"Answer: 2*u**3 + u**2 - 4*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 582653220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.2 (b) 1\/2 (c) -2 (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 110\/(-20)*18\/297*54.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 515994 is divided by 85961.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20811 + 140*a**2 + 20811.\nAnswer: 140*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -g**3 + 3*g**3 + 22*g - 15*g - 5*g - 3 - 7*g**2 to the form x*g**3 + y*g**2 + m + a*g and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*a - 27 = 138. Solve 0 = -a*r + 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 687 minutes after 5:51 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 110 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 659972, 1319938, 1979900, 2639858, 3299812, 3959762, 4619708?\n\"Answer: -2*l**2 + 659972*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 4*i. Let h(r) = -11*r. Let m(a) = 6*h(a) + 17*j(a). Let t be m(10). Let d be (4\/6)\/(t\/(-15)). What is the third smallest value in 0, -3, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 15 - 12. Suppose 3*s = c + 3. Solve -4*i + 2*y - y + 3 = 0, -i - s = -3*y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*g**2 - 25615*g - 22521600 = 0. Calculate g.\nAnswer: -765, 5888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -145 - 191 = -42*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*t + 41 + 4. Calculate the greatest common divisor of t and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5190, -10403, -15616, -20829, -26042, -31255?\nAnswer: -36468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 - 1. Let y = q - -1. Suppose 6*g - 4*g + 8 = -4*m, 2*g + 4 = 0. Put m, 0, y in descending order.\nAnswer: 0, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 + 19. Suppose 3*w - 4*b = 446, 0*b + s = 4*b. Calculate the highest common factor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11714 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1925290, 3850580, 5775870, 7701160, 9626450?\nAnswer: 11551740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be 5 + 6*(-8)\/12. Suppose -4*f + 25 = u. Suppose 4*s - f*s + 74 = 0. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -18 times 0.07654338\nAnswer: -1.37778084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -57117 - -6?\nAnswer: -57111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand s**2 - s**2 + 2*s**3 + (5*s - s**2 - 5*s)*(-7*s + 2*s + 3*s) + 2*s - s**3 - 2*s + s**3 + 0*s + 0*s - s**3 - 3*s**3 + 5*s**3 - 3*s**3 + 4*s**3 + s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -22 (base 6) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-15)\/75)\/((-1)\/((-2)\/(-2))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-12*q**3 + 17*q**3 - 11*q**3)*(0*q - 4*q + q) to l*q + o*q**2 + g*q**3 + b + f*q**4 and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 - -22. Let d = w - 18.984. Round d to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*sqrt(231)*-3)\/sqrt(7))\/(sqrt(44) - (1*sqrt(44) - sqrt(44)) - -4*sqrt(11)*-2) + 1.\nAnswer: 1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p + p + 2*p**3)*(-3*p + p + 4*p + (-1392*p + 2015564 - 2015564)*(3 + 1 - 2)).\nAnswer: -5564*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -2\/1971, 3, -2\/5, -0.11, 0.3, -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/12 - (-889)\/28. Let d = 12 + -8. Calculate the highest common divisor of d and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -40 = -3*a - 6*p + 23, -5*p + 66 = -1373*a + 1371*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 8.570719l?\nAnswer: 8570.719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -1 + l + 2 - 4*l + 2*l. Let t = 8 - 12. Let d(y) be the third derivative of -y**3\/6 + 10*y**2. Calculate t*d(z) - q(z).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4\/3, -3\/14, 2, -0.02?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36 + d - 190*d**2 + 189*d**2 - d.\nAnswer: -d**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -20 (base 5) to base 13.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 33121\/6168 + 4\/771. Let g = -4716 + 330129\/70. Calculate the common denominator of g and v.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**3 - 6*s**2 + 9*s + 6. Calculate k(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -9*a**3 - 15*a**2 - 9*a - 7. Let y(p) = -5*p**3 - 7*p**2 - 5*p - 4. Let w(v) = 3*g(v) - 5*y(v). Is w(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - ((-1)\/((-2)\/7))\/(308\/176).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1 and 0.34?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-22 - 51) + (-38 - -170).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -27*y + 5. Let c(s) = -17*s + 3. Let f(n) = 8*c(n) - 5*r(n). Let a be ((-2)\/4)\/((-2)\/8). Suppose -4*b = -5*q + a*q - 4, q = 0. Give f(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-104)\/10*60*(-13)\/312.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.03 (b) 2\/11 (c) 3963\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 103 + -109. Let i(b) = 47*b**2 + 3*b + 19. Is i(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + g = 0. Suppose g*b - 4*b = -36. Calculate the remainder when 14 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4546755 - -302?\nAnswer: 4547257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 18 and 8163.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12 - -168. Let v = z - 150. Calculate the remainder when 105 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 218 - 1?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*o = 31*o - 1395. Suppose -o*d = -165604 - 153417. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -54 + 1. Let r = v - -57. Suppose -132 = -r*z - 2*z. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 7444 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 680963.\nAnswer: 251, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 2)*(39*p**4 + 5113965*p**3 + 31*p**2 - 5113965*p**3) + (4*p**2 - p**2 - 5*p**2)*(-2*p**2 - p**2 + p**2).\nAnswer: 43*p**4 + 31*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = 3*z + 36 - 39, 2*f - 3*z - 21 = 0. Solve -5*d + f*d + 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 633\/5 (b) 3 (c) 0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 372, -761, 2 in descending order.\nAnswer: 372, 2, -2, -761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -13 (c) -0.07 (d) -4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 9, k: 9}. What is prob of sequence ckkc?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11337*v + 2*v**3 + 11337*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -142.548 - -2.\nAnswer: -140.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*h + 12465 = 19*h. Suppose 5*d = -6*s + 4*s + h, s - 2*d - 715 = 0. What are the prime factors of s?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 56*t - 5*t. Solve 5*v = -4*z + 12, t = 5*z + v - 1 + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6859866 divided by -8511?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 2*a + 7 = 2*u, -4*a + u + 10 = 0. Suppose -a*o - 38 = -2*z, -14 = -z - 0*o - o. Suppose -z*v = -19*v + 195. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -11*p**3 + p - 4*p**2 + 23*p**3 - 19*p**4 - 47 - 13*p**3 + 50 to o*p + t*p**4 + b*p**3 + v + l*p**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 65033.54ml?\nAnswer: 65.03354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3661?\nAnswer: 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -68 divided by 1226.\nAnswer: -34\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 = -145*i + 136*i. Suppose -3*b = 2*l + 7, -22 - 4 = -b + i*l. Is b < -10\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5481b6 - 1b?\nAnswer: 548197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 15*l**3 - 2*l**2 + 3*l + 7. Let p be q(4). Let a = 807 + p. Let d = -1213 + a. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**3 + 4*s**2 + 2*s - 1. Let z be r(-3). Suppose z*w + g + 2*g - 173 = 0, g - 84 = -w. Let m = w + -55. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10671 - 2006129\/188. Let m = p - -11071\/2068. Is 6 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (20\/(-210))\/(5\/(-68 - 2))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -7 (b) -378.2 (c) -3 (d) 8\/3 (e) 1 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2125667.\nAnswer: 61, 34847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(-5 + -2*sqrt(162) + sqrt(162)))**2 - (sqrt(162)*1 + 0 + 0).\nAnswer: 3231*sqrt(2) + 6732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8 + 5. Let o(m) = -2 + 0 - 3*m + 8*m - m - 3*m. Let g be o(k). What is the third biggest value in 2\/5, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1083.8192 to zero decimal places.\nAnswer: -1084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -12460000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 18008339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-75)\/12 - 234\/(-104).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -4\/3 (b) -0.021 (c) -2\/7 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n be 44\/10 + 8\/(-20). Suppose -5*x = 3*w - 5*w + 19, w + n = -2*x. What is the lowest common multiple of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 23, -1, -3, 9, 0 in decreasing order.\nAnswer: 23, 9, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + sqrt(5808) + (sqrt(5808) + sqrt(5808) + sqrt(5808) + -1 + sqrt(5808))*4 + sqrt(5808) + sqrt(5808))**2 - (-1*-4*(sqrt(5808) + 0))**2) + 1.\nAnswer: -1672*sqrt(3) + 2003762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2*(-1)\/33 + (-153584)\/(-7656)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -28497, -56958, -85425, -113898, -142377?\n\"Answer: -3*k**2 - 28452*k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -83*z - 4403. What is y(-47)?\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 965\/6 or 161?\nAnswer: 965\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -7 - 1. Suppose l - h*l = 0. Suppose l = o + 5, -5*k + 85 + 95 = -3*o. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 7*t - 5. Let r(c) = 6*c - 4. Let l(u) = 4*h(u) - 5*r(u). Let d be 160\/90 + 2\/9. Let g(f) = f - d + 2. What is g(l(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be 14*-15*(3 + (-28)\/8). Let u = -131 + w. Let k = 23 + u. Is k > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = h**2 - 1. Let r(c) = c**2 - 1. Let u = -13 + 15. Let b(j) = u*n(j) - 3*r(j). Let y(z) = -z**3 + 2*z**2 - 2*z + 4. Let l be y(2). Calculate b(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sssoossoss. Give prob of sequence oso.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 639138 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 28 divided by 45\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 213, 399, 597, 813, 1053, 1323, 1629, 1977?\nAnswer: 2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6 - 1) + (5 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + 4 = -2*s + 2*n, 12 = 2*s + 2*n. Suppose q + s*q - 36 = i, -5*i = -3*q + 24. List 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 hundred thousands digit of 142253475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2757*c + 1636*c - 2134*c.\nAnswer: -3255*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10 + 12. Suppose q*b = 7*b - 15. Solve -r + 4*s = 4*r + b, 5*s = 2*r + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - x + 1 = 2*x, -p - 7 = 4*x. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 150829328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 275 = -5*p, -4*p = -23*g + 26*g - 217. Solve p = 39*l - 26*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2254484256?\nAnswer: 2, 3, 23484211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (13 - -36) + -39 + 3 + 0 + -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 17 = -3*s + 2*v, -2*s = -v + 2. Let b(p) = 367*p + 21. What is the hundreds digit of b(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 152 minutes before 4:18 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -7*a**2 + 4*a**2 - 20*a**2. Let w(s) = -2*s**2. What is w(m(z))?\nAnswer: -1058*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15 - (-17 + (31 - 10) + 21).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*p*v - 37*p + 391*v wrt p.\nAnswer: -2*v - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*k - 6657 - 2295 = 0. What are the prime factors of k?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is b7 + 26?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dddddddddddddadddd. What is prob of picking 1 a and 3 d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35489*y + 1 - 35489*y - 70*y**2.\nAnswer: -70*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1 + -1. Suppose c = -3*f + 3. What is the smallest common multiple of (-6 - 0)*f\/(-3) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 355.052 + -355. Let g = -0.05199769 + j. What is g rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/2400 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.158738126 rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 3*p**2 + 71407614*p + 424920611431083 = 0.\nAnswer: -11901269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 460 and 72220.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 495.439 - 495. Let x = 0.139 - o. Put -1, -4, x, 0.2 in decreasing order.\nAnswer: 0.2, x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 5, r: 7, h: 7}. What is prob of picking 1 y and 1 r?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**3 - 6*f**2 - 6*f - 7. Let x be c(-5). Let u be (-2)\/(-7) + x\/7. Let g be (0 + u)*1\/2. Solve g = -0*l - 2*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5088333.\nAnswer: 3, 19, 89269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor h**5\/3 - h**4\/3.\nAnswer: h**4*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -7655 + 253564?\nAnswer: 243707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -536 - -541. Suppose -36829 = d*w - 18*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -h**3 - 48*h**2 + 95*h - 99. What is z(-50)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -5*p + 6. Let d(l) = -4*l + 5. Let m(z) = -z**3 - 8*z**2 - z - 2. Let o be 12\/(1\/2*-3). Let k be m(o). Calculate k*d(u) - 5*t(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and 0.1905942.\nAnswer: -0.952971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13 + 130. Let g(k) = 2*k + 115 + t - 228. Calculate g(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u**3 + 9*u**2 - 5*u + 18. List the prime factors of z(8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 189792 = 3*b, 0 = -33*b + 32*b - 4*i + 63276. What is b rounded to the nearest 1000?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 134 = -22. Let n = 8 - 3. Suppose n*i = 48 + 32. What is the highest common factor of i and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 (base 10) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**2. Let s(z) = z**3 + 61178 - 27*z**2 + 25*z**2 - 61190. Determine 4*a(u) + s(u).\nAnswer: u**3 + 2*u**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 9552409.9 to the nearest ten thousand.\nAnswer: 9550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 497670 and 7420.\nAnswer: 6967380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/17? (a) -2 (b) 2 (c) 669\/5 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 124*h + 2451 = 1211 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -1 + (0 + sqrt(684) + 1 - (sqrt(684) + -1 + sqrt(684) + 0 + sqrt(684)) - (1*(sqrt(684) + -2) + 5))**2.\nAnswer: 36*sqrt(19) + 6153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(1280) + sqrt(1280) + sqrt(1280))*6 + 2*-2*sqrt(1280))\/(-5*3*((1*sqrt(400) - sqrt(400)) + sqrt(400))).\nAnswer: -16*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide (-36)\/15*1647150\/(-316)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**3 - 11*s**2 + 2*s - 18. Let n be r(11). Let v be (n\/12)\/((-1)\/(-96)). Suppose -2*k - 4*a = -v, k - 4 = 3*a + a. Solve 0 = -q - 2*q + k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 821 is divided by 281?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 1 + (-3 + 0 + 2)*(1 - 1 + 2) + 1 - 4 + 1)*(-2*h - 4 + 4).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 877 (base 9) in base 12?\nAnswer: 4ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 343460835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4283 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 16*x**2 - 537*x - 215. Let d(g) = 7*g**2 - 269*g - 94. Give -4*a(w) + 9*d(w).\nAnswer: -w**2 - 273*w + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.4*-78\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 12*l**2 - 100*l - 470. What is h(-5)?\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(1573))*-4 - sqrt(1573))**2.\nAnswer: -440*sqrt(13) + 39341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a be 26\/10 + (-4)\/(-10). Suppose -a*p = -p - 24. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -9*j**3 - 4*j. Let x(f) = f**3 - f. Let u(g) = s(g) + 4*x(g). Find the second derivative of u(q) wrt q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -18*a**2*h**3 + 8842*a**2*h**2 - 2*a*h**3 + 859*h**3 + 4*h**2 wrt h?\nAnswer: -108*a**2 - 12*a + 5154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2 + 50?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/(-4)*5*2. Suppose d*l = l + 8. Suppose -6*n = -l*n - 96. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15212591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -22, -5, -3, 16 in descending order.\nAnswer: 16, -3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c**2 + 3*c - 4. Let q be b(-3). Solve -q*p - 3*d + 6*d = -4, 7 = 2*p - 3*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5995481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 10, t: 4}. What is prob of picking 2 t?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -61611, -123202, -184791, -246378, -307963, -369546?\nAnswer: -431127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 + 6*k**2 + 6*k - 3. Let v be n(-4). What is the highest common factor of v and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - 0) + (16 - (36 + -24))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -y**2 + y**2 - 2*y**4 + (5*y**2 + 0*y**2 - 3*y**2)*(2*y**2 + 1 - 1) + 0*y**4 + 0*y**4 + 2*y**4 + y**4 - 4*y**4 + 8*y**4.\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 64550 to the nearest one thousand.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = 4*p + 22, 3*p + 3*r - 3 = -2*r. Which is the third biggest value? (a) -6 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i**3 + i**2 + i + 1. Let r(c) = -10*c**3 + 2*c**2 + 6*c + 2. Let n(u) = -2*d(u) + r(u). Find the second derivative of n(s) wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2520.15352 + 0?\nAnswer: -2520.15352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 213 = 7*v - 60. Calculate the remainder when 115 is divided by v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (6 + 7 + 6)*(-3 + 2 + 2)*(-20 + 3*c + 12 - 10) as p + u*c and give p.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -2*o**4 + 80*o + 5*o**2 - 28*o - 76*o as b*o**2 + u*o + n*o**4 + t*o**3 + a and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*m**3 + 12*m**2 + 18*m**2 - 30*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 98 a factor of 6654298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16.3 - 0.8. Let p = q - 15. Let z = -13.4 + 13.2. What is the third biggest value in p, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2880) + -2*sqrt(2880))\/(sqrt(28)\/sqrt(7)*-2) + -5*(sqrt(5) + -4*sqrt(15)\/sqrt(3) + sqrt(5)) + (sqrt(605) + 1)*5)**2.\nAnswer: 710*sqrt(5) + 25230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -58472 - -5847107\/100. What is the common denominator of f and -77\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = -4*g + 47040, -40*g + 42*g = -4*y + 23520. Calculate the highest common divisor of g and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6.4 + 6. Let j be (11 + -8)\/(-1 + 0). Let s be (-2)\/j + 104\/(-138). Which is the closest to 0? (a) 2\/9 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 + -1. Suppose f = -4*h - j*h + 58, -68 = -5*h + f. Suppose 0*p = p - h. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-9)\/(-3) + -3)\/(-2). Suppose 3*l + 0*l - 9 = z. Solve -l*i + 0*o = -3*o - 24, o + 5 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes before 11:00 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:36 AM and 2:58 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 15526\/9 or 1724?\nAnswer: 15526\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**3 + h**2. Let l(k) be the third derivative of 0 + 1\/24*k**4 - 5\/6*k**3 - k**2 + 0*k. Let i be l(7). Determine a(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ckyc when four letters picked without replacement from chyychykyhh.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x - 5. Let w be j(10). Differentiate 2*f**4 - 3*f**4 + w - 1 wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 47165 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.15991762 + 0.045?\nAnswer: -0.11491762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -821130 rounded to the nearest 10000?\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 16 = -2*f, -7*f = 3*a - 2*f - 64. Let s(g) = g**3 - 14*g**2 + 12*g + 16. Calculate the remainder when 13 is divided by s(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 - -8. Suppose -k*a = -a. Let s be (3 + -3)*(1 + a). Solve -w = -3*o - s*o + 11, -2*o = -4*w - 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2485 (base 9) in base 6?\nAnswer: -12335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -11*d**3 - 4*d**3 + 10*d**3 + (-5*d**3 + 0*d**3 + 3*d**3)*(-1 + 1 - 1) + 0*d**2 + 0*d**2 + d**3 - 30*d + 30*d - 11*d**3 - 15*d**3 + 1 - 5 + 16*d**3.\nAnswer: -12*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*t + t + 2*z + 2, 3 = -4*t - 3*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be 105\/28 - 2\/(-8). Let n be (-3)\/5 + 1062\/45. Suppose -3*a + 28 + n = 3*b, 3*b = -6. Solve 4*y - 38 = -4*t - 14, -3*y + a = d*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1287424011 - 5\nAnswer: -1287424016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the first derivative of -a**6\/150 + a**5\/50 - a**3\/15 + a**2\/10 + 2*a + 1. Let y(m) be the first derivative of h(m). What is k in y(k) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y. Let k = 7 + -5. Suppose 0 = j - k*j. Let m(s) = 2*s + j*s - s + s. Give l(m(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 22599 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find h such that h**4\/2 + 2*h**3 - 13*h**2\/2 - 20*h + 24 = 0.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 15*g + 8. Let p(q) = -15*q - 8. Let w(b) = -3*d(b) - 2*p(b). Let s be w(6). Let t be (-4)\/(-10) - s\/5. Solve t = -a - 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vmygemb. Give prob of picking 1 b, 1 e, 1 y, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/8 and -27\/144953809.\nAnswer: 1159630472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 16 = -4*o, -l - 2*o + 5*o = -4. Let -4*p**2 + 8\/3*p - 4*p**3 + 0 + 8\/3*p**l = 0. Calculate p.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1051988281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i**0)**(-24)\/((i\/i**(-1\/8))\/(((i\/(i*i**8\/i*i))\/i)\/i)) assuming i is positive.\nAnswer: i**(-281\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = 11*l - 15*l. Let v = l - -69. List the prime factors of v.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (762 - 10) + -2 + -13. Calculate the greatest common divisor of q and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3223639 is divided by 812?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 101, 148, 193, 236, 277?\n\"Answer: -t**2 + 50*t + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 60110040 a multiple of 2760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 17696 and 2765?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-2)*4*4. Let s be ((-44)\/(-16))\/(2\/d). Let r = 62 + 37. What is the greatest common divisor of s and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 3*w = 2, 0 = -2*n - 2*w - 3 + 11. Let q(f) = -2*f**2 - 3*f**2 + 4 + 2*f - 1 - 4*f**3 + 3*f**n. Is q(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-6 - -6) + 8\/2. Let z(b) = -b**3 - 3*b**2 + 5*b + 4. Let x be z(-4). Suppose 0 = -3*k - x*k. Solve r + 0 = -3, -h*g - 3*r - 1 = k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor b**3\/2 - 26275*b**2\/2 + 173183575*b\/2 - 7740145125\/2.\nAnswer: (b - 13115)**2*(b - 45)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(-4\/5)*c)\/(c*((c\/c**6)\/c)\/c*c*c*c)*(c**(-2)*c)**(-32) assuming c is positive.\nAnswer: c**(181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Do -1520 and -1592 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 343414 (base 12) to base 13\nAnswer: 233215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the first derivative of -2*g**2 - 4*g**2 - g + 5*g**2 - 7*g**2 - 10. Is k(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 860 = -w, 5*w + 7*i - 12*i - 4400 = 0. Is w greater than or equal to 875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -90 + 96. Solve 67 - t*f - 15*f**2 - 38 - 38 - 3*f**3 - 15*f = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21716921?\nAnswer: 41, 529681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10 + -16. Let y = -66.4 + 60. Let h = y - m. What is the third smallest value in 2, h, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -584 + 1043. What are the prime factors of (1 + (-8)\/6)\/((-3)\/l)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zjzzpjzzfzpnjzzj. Give prob of picking 1 f and 2 z.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 127*q**3 + 2*q - 95*q**3 - 75*q**2 - 2*q**3.\nAnswer: 30*q**3 - 75*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 22*m**3 - 4*m**2 + 3*m + 34. What are the prime factors of o(7)?\nAnswer: 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -64 - 1056?\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-14))\/((-96645)\/(-1190) - 82) - (-238)\/110.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 31 + 1131240?\nAnswer: 1131311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 87 + -93. Let k be (m\/3)\/(-3 + -3). Solve 1\/3*l**2 + 1\/3*l - 1\/3 - k*l**3 = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*p + 233*v - 238*v - 82, -3*p - 5*v = 88 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -26572, -105528, -237122, -421354, -658224, -947732, -1289878?\n\"Answer: -26319*a**2 + a - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/((v*v**(-1))\/v))**(1\/31)*v*v**(-1\/4)\/v*v**1*v assuming v is positive.\nAnswer: v**(225\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 0.5753559 weeks?\nAnswer: 347975248.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = 8, w - 10 = 4*c + 13. Suppose -123 = -10*z + w*z. Let o = 90 - z. 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(f) = -8*f**2 + 2*f + 10*f - 18*f. Let k be 0 + 2 + (-16 - -21). Let o(m) = -9*m**2 - 7*m. Give k*g(d) - 6*o(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2823 - -2822.7. Which is the nearest to -0.2? (a) -2\/7 (b) -11 (c) l (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-35)\/(-4))\/7*692 + -5. Suppose -7*l = -3*l - m. What are the prime factors of l?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 44, 47, 50, 53, 56?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -6538324 (base 9) to base 8\nAnswer: -15306647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8 + 16. Suppose 0 = 7*i - 10*i + 12. What is the lowest common multiple of r and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -4d22 (base 16) to base 10\nAnswer: -19746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -17355173647 and -23?\nAnswer: 17355173624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**2\/3 + 176534*j\/3 + 58845.\nAnswer: -(j - 176535)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is b - -1e0?\nAnswer: 1eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + 19 + (4 - 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(132)*-2 + sqrt(132))*-4)\/sqrt(11))\/(3*sqrt(144)*2))**2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3 (b) -2 (c) -3 (d) 21 (e) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**2 - 12*s + 8. Let u(o) = 17*o + 135. Let c be u(-9). Let y be (-1 + -2)\/((-6)\/c). Calculate t(y).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 233603367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(720) + (6*sqrt(720) + sqrt(720))*5 - sqrt(720)) - 1*((sqrt(60) + sqrt(480)\/sqrt(8))\/sqrt(12))**2*-5.\nAnswer: 102 + 420*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -48662.07 - -48982. Let m = t + -312. What is m rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -13.182 - -24.582. What is the smallest value in -4, s, 0.19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 283179540 divided by -14?\nAnswer: -20227110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 48*c*h**3*q - c*h**3 - 6*c*h**2*q - 6*h**3 + 2*h*q + 35*h wrt q.\nAnswer: 48*c*h**3 - 6*c*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 11\/10 of a meter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 48\/704*(-2)\/3*-4\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 - d**2 + d. Let b(s) be the third derivative of s**6\/30 + s**5\/10 - s**4\/4 - s**3\/2 - 2*s**2. What is b(z) + 6*v(z)?\nAnswer: -2*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**3 + 2*m**2 - m - 1. Let s(p) = 14*p**3 + 10*p**2 - p - 4. Determine -s(i) + 4*x(i).\nAnswer: -10*i**3 - 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 878.776 litres to millilitres.\nAnswer: 878776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1609 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t and 1 l when three letters picked without replacement from {l: 7, q: 9, t: 2}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (j - 2*j + 4*j)*(11 + 11 + 4)*(0 + 1 + 3)*(7 - 13 + 23) to u*j + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i**(-10\/11)\/i*i))**(-4\/15)\/(i**28\/i*i\/((i**(2\/117)\/i)\/i)) assuming i is positive.\nAnswer: i**(-196216\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:28 PM and 3:00 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 103 - 105 = -2*r, -4*c + r + 8 = 0. Solve k + 2*s - 333 = -319, -2*s = -c*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 22004402 (base 5) to base 10.\nAnswer: 188102","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Let j = -17 - -22. Suppose j*w = w + 24. Is 11\/2 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -65 - -140. Let s = -78 + g. Let q(j) = j + 5. Let l be q(s). Solve -27 = -l*r - 5*i, 0*i - 2 = 3*r - i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6190439726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) + sqrt(2299)*2 - sqrt(19)) + -3 + 2.\nAnswer: -1 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -72 divided by -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4557 + -4530 + (-186)\/(-10))*(-1 - 14\/(-4)).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.15 (b) -1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 281279 is divided by 11417.\nAnswer: 7271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 27 + -35. Suppose -12*j = -2*j. Suppose j = 11*t + 39 + 5. Put p, 2, t, 0 in increasing order.\nAnswer: p, t, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 + 30321211442?\nAnswer: 30321211443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = 35 - 33. Let n be (-7)\/(-35) - u\/10. Solve n = -2*p - 19 + 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-35)\/(-220)*(8\/(-70))\/((-34)\/85)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 485440?\nAnswer: 2, 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:52 AM and 5:39 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -3*q + 3. Let o(n) = -n + 1. Let u(i) = -2*o(i) + p(i). Let x be u(-3). Suppose 4*f + x = 3*f. Let y(s) = s**2 + 3*s - 1. Give y(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + 1. Suppose -s - u = 2*i + 7, 2*i + 10 = 5*s. What is s rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -3*o. Let m be 5\/10 + 70\/(-4). Let g(b) = -7*b**2 + 6*b - 6. Let x(u) = -22*u**2 + 17*u - 17. Let p(r) = m*g(r) + 6*x(r). What is a(p(w))?\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l**5 - 30*l**4 - 40*l**3 + 30*l**2 + 45*l = 0 for l.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**2 + 5*o - 5. Let k(m) = 4*m**2 + 16*m - 16. Let r(t) = -5*k(t) + 16*x(t). Let v(z) = 23*z - 17*z - 15*z - 10*z - 12*z + 14*z. Determine r(v(g)).\nAnswer: -1156*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 218 = z + 35, 2*h - 10 = 0. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/(-24)*(-498)\/(-54) and 103\/14?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - (-87 + 26 + 33)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4304 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: What is the highest common factor of 10385 and 2635?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 47363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add 11 and -4754308702408.\nAnswer: -4754308702397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 962*y**2 - 9*y + 22. Let t(c) = -965*c**2 + 10*c - 26. Calculate 7*b(j) + 6*t(j).\nAnswer: 944*j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -2*u**3\/5 + 274*u**2\/5 + 56*u - 552\/5 = 0. What is u?\nAnswer: -2, 1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 30 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 55.84 - 57.84. Suppose -2*f - 5 = 3*f. Let s be (-1 - (0 + 0))*f. Which is the second biggest value? (a) -4 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4599 + 4789. What is the remainder when y is divided by 84?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 + (-44 - (-6 - 13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 3550573*z. Let o(r) = 1381*r. Determine -4*l(x) + 10283*o(x).\nAnswer: -1469*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 4*r**2 - 2*r. Let s be j(2). Let k be (4\/(-3))\/((-40)\/s). Which is the nearest to 1? (a) 0.5 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -q**3 - 3*q + 3*q + 2*q**3 + q**3 - 2*q**3 - 2*q**2 + 2*q**2 + q**3 + (-4*q + 2*q**2 + 4*q)*(1 + q - 1) + 0 + 0 + q**3 - 234 + 474 - 165*q**3 - 226.\nAnswer: -161*q**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 7*h**3 + 3*h**2 + 3*h + 3. Let z(a) = 8*a**3 + 4*a - 2*a**2 - 4*a**2 + 4 + 10*a**2. Calculate -4*m(r) + 3*z(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 0*u**3 - 4*u**3 + 8*u + 5*u**3 in the form c*u + x + q*u**3 + s*u**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 477895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the second derivative of -z**4\/4 + 164*z + 1. Let c(f) = -f - 4 - 3 + 22. Calculate c(m(a)).\nAnswer: 3*a**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 14363 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: Evaluate 5 + -8 + (17 - 21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be -5*(-7)\/((-70)\/16). Is ((-14)\/(-1))\/(b\/(-236)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2476 + 2425 = 182*w - 1287 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 b, and 1 a when three letters picked without replacement from ajnbanbabbcan.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 12*w + 17. Give a(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the second derivative of -v**5\/20 + 43*v**4\/12 + v**3\/6 - 43*v**2\/2 + 2646*v. Factor y(j).\nAnswer: -(j - 43)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w - 2*b - 529, 3*w - 5*w - 1070 = -2*b. Let m be (-32)\/(-4) + 2634\/5. Let i = w + m. Put -1, i, 2 in decreasing order.\nAnswer: 2, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1853 divided by 6?\nAnswer: 1853\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be (72\/(-16) - 4\/(-1))*0. Let r(x) = -34*x + 80. Is r(a) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-261 + 36*x - 212 - 35*x)*(2*x + 3 - 3 + x + 4*x - 3*x + (-1 - 1 + 3)*(-x - 2 + 2) + 3 + 2*x - 3 + 4 + x - 4)*(x - 2*x - x).\nAnswer: -12*x**3 + 5676*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*i = -65111 - 324747. What are the prime factors of i?\nAnswer: 27847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*g = -12*g + 3. Which is the closest to 1\/3? (a) 0.1 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve c - 357 = 24*z, 2*c - 719038 = -z - 719059 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -55 - -5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8199 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -5*l. Let h(n) = 5*n**2 + 60 - 60 + 3*n**2. Give w(h(g)).\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a = -2*y + 2, 0 = a - 552*y + 548*y + 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are -85687 and -85687 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 423 - 892. Let d = -275 - l. Let m = 193.999863 - d. What is m rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -332 (base 6) to base 5.\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is (8 + (-33)\/6)\/(1\/794) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 46325.4ml to litres.\nAnswer: 46.3254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1587 + 2245. Let r = g + -667. Let o = -13 - -8. Which is the third biggest value? (a) r (b) o (c) 0.2 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2494604 divided by 8692.\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -116512 divided by 6\nAnswer: -58256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/2 and 43\/224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 5*y - 3. Let f(z) = 19*z**3 - z**2 - z + 1. Is 9 a factor of f(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 200 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 16125659 and 8409?\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 35812859, 35812858, 35812857, 35812856?\n\"Answer: -x + 35812860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11566\/399 - 482\/19. Calculate the common denominator of 149\/636 and o.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -n = -1, -5*n + 3 = -p + 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 38*a + 512 + 137*a**2 - 134*a**2 - 137*a wrt a?\nAnswer: 6*a - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -c**2*g**3 - 892*c**2*g**2 - 2961*c*g**4 + 53*c*g**2 - 12*g**3 wrt g?\nAnswer: -6*c**2 - 71064*c*g - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p + 45. Let z(f) = 15*f + 94. Let q(b) = -2*k(b) + z(b). Calculate q(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 - -928b?\nAnswer: 9288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1649865\/394 or 4186?\nAnswer: 1649865\/394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:40 AM and 5:39 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l**2 - 4*l + 5. Let k(i) = -i**2 + 3*i - 7. Let b(f) = -3*k(f) - 4*o(f). What is b(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/16 + 0)\/(3\/(-4))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 661*s = 193*s - 8892 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/21*196\/32*-4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -2*a. Let t = 2 - 0. Let z(f) = -9*f - 3. Let l(o) be the second derivative of -4*o**3\/3 - o**2 - 9*o. Let u(q) = t*z(q) - 3*l(q). Calculate w(u(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(55) - 1*sqrt(110)\/sqrt(2))\/sqrt(11) - (0 + sqrt(20))*-5.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.02, -1, 0.91?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -31 take away -0.03?\nAnswer: -30.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -770 = -5*u + 5*s, 4*u + 3*s - 178 = 438. Calculate the greatest common factor of u and 2002.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -76590 divided by -6.\nAnswer: 12765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -32*c**2 + 20. Let o(w) = 7*w. Calculate o(t(r)).\nAnswer: -224*r**2 + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rxzbbzxrb. What is prob of picking 1 b and 2 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = -5 - 10. Let k be (-12)\/2 + (-1 - -1). What is the remainder when 74 is divided by o - (-25 + k + 3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**2 + 23*b - 139. Determine k(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 267926*s + 1339633. Calculate r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1\/5*(7 + -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**2 + 3 - 3. Let v(o) be the second derivative of -o**7\/2520 + o**4\/12 - 2*o. Let a(r) be the third derivative of v(r). Calculate i(a(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4173734 is divided by 452.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(12\/11)*s)\/(((s*s**(-2))\/s)\/s) assuming s is positive.\nAnswer: s**(56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -12*k + 4. Let a be z(-6). Let r = -31 + a. Let m = r - 20. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16 - 13. Let l = q + 2. Suppose l = j + 4*j. Solve -g - j = 0, 0 = s - g - 3*g - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1c23c7 (base 13) to base 5.\nAnswer: 141002324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00018041 to six decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 5 = -2*y + h, 1 = 5*y + 3*h. Let u = -0.0518 + -0.2352. Let j = u + 0.387. Which is the third smallest value? (a) 0.06 (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -83, -80, -73, -62?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -14903.582 + -2.513.\nAnswer: -14906.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2\/16711 + 267574\/1654389. Calculate the common denominator of 40\/81 and l.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.17*-0.0023.\nAnswer: 0.000391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -11856*n + 355674. What is z(30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let d = 5818.4 - 5820. Which is the second smallest value? (a) d (b) -2\/23 (c) 1\/64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**3 - 1156*k**2 - 14196*k - 42912.\nAnswer: (k + 6)**2*(3*k - 1192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o\/(o\/o**(-17))*o)**(2\/9) assuming o is positive.\nAnswer: o**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (495\/420)\/(1\/4) + -5\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 2*t = -11, u + 0*t - 7*t + 2*t = -77284 + 77265 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-888)\/370)\/((-46)\/24725*10).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by 200382\nAnswer: 1\/200382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (0 - -1) + -13 - (2293 + -2299).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -601598 - 11*g + 601598.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1706 - 431. Let l = k - 691. Suppose 2*z - 1386 - l = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.187 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 372*k. Let r(s) = 15*s - 15*s + s. Give t(r(b)).\nAnswer: 372*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((-1*(0 + sqrt(98)) - sqrt(98))*5)**2.\nAnswer: 9795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/9? (a) -59.9 (b) 0 (c) 3491\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 5\/24 of a day?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3428 + 1072. What is i rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-42)*l)\/((l\/(l\/(l**(-6\/25)\/l*l)))\/l)*(l*l**(-15\/2)\/l)**11)**(-46\/3) assuming l is positive.\nAnswer: l**(140599\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.242647 - -0.357359. Let w = 34.4 - 35. Let z = u + w. Round z to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -13 - -144. What are the prime factors of p?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + v = -5, 0 = -5*k - v - 3*v + 6. Find the second derivative of -4 + 2*a**4 - a**4 - k*a + 4 wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -45*q**2*s**2 - 10*q**2 + q*s**2 + 4*q wrt s.\nAnswer: -90*q**2*s + 2*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -3*l + 91. Let k be h(29). Solve -1\/4*v**2 + 1\/4*v**k + 1\/4*v**3 - 1\/4*v + 0 = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 5*h = 15, 0 = -4*j - 3*h - 1 + 41. Suppose 3*n = -4*g + j, -g = -4*g - 4*n + 14. What is the tens digit of (g - -6)*(-332)\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 smaller than -7776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 11, u: 1}. Give prob of sequence nunn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72*z - 1632 = 64*z. What is the lowest common multiple of z and 119?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6972318 and 272952.\nAnswer: 474117624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j**3 + 4*j**2 - j. Let s be m(-4). Suppose -k - s = -9. Suppose -k*x = -x - 364. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1136 - -1136.3. Which is the third biggest value? (a) -0.4 (b) j (c) 0.074\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 bigger than 15547233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -160380948100 rounded to the nearest 1000000?\nAnswer: -160381000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than or equal to -25601308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4 - 3. Let r be -4 + 2\/7 + (-351)\/(-91). Which is the third biggest value? (a) -3\/5 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 5 (b) 7 (c) 6\/35 (d) -0.33 (e) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3539 + -17692\/5. Sort 5, x, -22\/7 in descending order.\nAnswer: 5, x, -22\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10300220.\nAnswer: 2, 5, 7, 29, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-n**2 + 6*n**2 - 3*n**2)*(0 + 0 + 2) + 5*n**2 - 3*n**2 + n**2)*((-n**3 - 2*n**3 + n**3)*(-5 + 3 + 1) + 3*n**3 + 4*n**3 - 2*n**3).\nAnswer: 49*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -2 - (36\/(-234) - (-1540)\/(-806))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 21.02779mm?\nAnswer: 21027790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 9637 = -639*f - 5060 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -6352*j + p = -6348*j - 5, 0 = -j + 24*p - 165 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 160\/(-400)*(4 - 31 - (-3 - -1))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/(-30)*(-12)\/8. Let x = 30.5 + -24. Let s = x - 6. What is the smallest value in s, b, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 618 minutes after 10:47 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:01 PM and 6:08 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 16711.67 - 16704.05333. Let r = f + -7.62. What is r rounded to 4 dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v + 3*k - 861, 3*v = 5*v + 3*k - 429. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 541 is divided by 356?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 14*d**3 + 8*d**2 - 4*d + 2. Let o be b(3). Let y = -53 + o. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 8*l = -110. Calculate the remainder when l is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q**2\/11 + 70*q\/11 + 72\/11 = 0 for q.\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that 4*d**2 + 1708737136*d + 182486412496592656 = 0.\nAnswer: -213592142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be (6 - 3) + -1 + 9\/(-5). Which is the closest to j? (a) 5 (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 5153750 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4 (b) -0.5 (c) 3\/35 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3048369047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*y - 12, 0*t - y + 88 = t. What is the remainder when t is divided by 83?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 4*d = 2*t + 80, 2*d - t = -58. Let b(m) = -12*m - 228. Let o be b(d). Let y(q) = 6*q. Let i be y(1). What is the highest common factor of o and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 6*z - 82. Calculate the remainder when 130 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 106 divide 22354504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 4*o**3 + o**2 + o. Let b(a) = 1617*a**3 + 4*a**2 + 4*a. What is b(i) - 4*p(i)?\nAnswer: 1601*i**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: What is 2\/(16\/24*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6 - 23. Let l = 27 + u. Let x = -32\/11 + 52\/33. Which is the second smallest value? (a) l (b) 2\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 21*l**2. Let a(b) be the third derivative of b**6\/144 + 37*b**4\/12 - b**2 + 5*b. Let r(d) be the second derivative of a(d). Calculate j(r(i)).\nAnswer: 525*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*s - 6*s - 17*s + (-3 + 3 - s)*(2 + 2 - 1))*(-29 - 36 + 62) as v + u*s and give u.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 616000 and 616?\nAnswer: 616000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 10 = 2*v. Let r = 36.6 - 5.3. Let h = 31 - r. Which is the closest to 0.1? (a) h (b) 2\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + -9 + (3 - -5) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the third derivative of -i**4\/12 + 5*i**3\/2 - 387*i**2. Give j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -312*k + 312*k - 8*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 228 and 38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 + 5 = -2*v. Differentiate 22*w - v*w - 13*w + 1 wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**2 - 40*j - 40. Let m(c) = c**2 + 61*c + 60. Let x(o) = -5*m(o) - 8*y(o). Is x(7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 4347433*a**3 + 0 + 1 - 4347428*a**3 - 4.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a. Let g(s) be the second derivative of 0 + 0*s**2 - 1\/6*s**3 + 4*s. What is j(g(w))?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1098, -2225, -3362, -4515, -5690, -6893, -8130, -9407?\n\"Answer: -n**3 + n**2 - 1123*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12) - (1*sqrt(132))\/sqrt(11)) + (sqrt(3)*2)**2 + 3 + (4*(sqrt(3) + sqrt(9)\/sqrt(3)))**2.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 44950584 divided by -377736.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (306\/4)\/(-3)*((-832)\/(-48))\/26?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -15239, 5, -4, -1425 in increasing order.\nAnswer: -15239, -1425, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*l**2 + 17642 - 5210 + 35630 + 1317 + 17597.\nAnswer: -3*l**2 + 66976","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 12233 - 31?\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 6:32 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 2*q + 22 = 0, 5*r - 6*r + 9 = q. Let w(t) be the second derivative of -3\/4*t**2 - 1\/8*t**r + 6*t - 1\/2*t**3 + 0. Factor w(v).\nAnswer: -3*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2 + -64?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 52019476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -6*c - 1. Let q be m(-6). Let o(r) = 16*r + 14*r - q*r + 5. Let g(p) = 14*p - 14. Let j = 23 + -27. Determine j*g(t) - 11*o(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 151294931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (1176 - 379 + 1435 - 47)*(49*g**3 + 2*g**4 - 49*g**3 - 3*g**2 - 1).\nAnswer: 4370*g**4 - 6555*g**2 - 2185","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1\/64 + 135\/448. Let g be ((-2)\/(-22))\/((-2)\/(-6274)). Let q = g + -285. What is the nearest to 0.1 in q, 8, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/4)\/(8\/592). Let g be (-34)\/221 + q\/(-13). Suppose -4 = -x - 3*x, 2*t + 5*x = 11. Put -4, g, t, -2 in descending order.\nAnswer: t, -2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 116*r**3 + 30*r**2 + 24*r**2 + 14*r**3 - 54*r**2.\nAnswer: 130*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6, 4, 2, 0, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r**(8\/7)\/(r**(-3\/7)*r*r))**(-30))**22)**(3\/2) assuming r is positive.\nAnswer: r**(2970\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3924379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-2)*-5 + 13. Suppose 87335 = i*l - 3*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = 5*y + 55, -4*y - 11 = 5*k + 6. Let h(c) = -c + 10. Let r(t) = 3*t - 21. What is k*r(p) + 7*h(p)?\nAnswer: 2*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - (6 - 15 - (1 - 16)) - -19.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*z**3 + 8*z**3 - 26*z**3.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes after 5:28 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 76173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(95)\/(4*-6*sqrt(5)))**2.\nAnswer: 19\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 5*s + 2. Let b(c) = -49*c - 21. Let d(i) = i**2 + 2*i - 13. Let t be d(-5). Calculate t*b(v) + 21*w(v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4 - 0. Let u = -0.056 + 0.018. Let h = u + 0.038. Sort h, -1\/2, a in ascending order.\nAnswer: -1\/2, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 47*q**2 - 12*q + 4. Let j(w) = 49*w**2 - 18*w + 4. Let p(o) = 2*j(o) - 3*r(o). Let n(d) = -d**2. Determine n(p(u)).\nAnswer: -1849*u**4 - 344*u**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of n**3*p**2*x**2 - 2*n**3*p**2 - 157*n**3*p*x - 424*n**3*x**2 - 6*n*p*x wrt x.\nAnswer: 2*n**3*p**2 - 848*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the first derivative of 2*y**3\/3 + 7*y**2\/2 + 4*y + 21. What is z(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 3 and 140900.\nAnswer: 140903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) 9 (c) -7171 (d) 0.4 (e) -1\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q - 11*p = -7*p, 0 = 2*p - 5 + 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z**4 - 792*z**3 + 215285*z**2 + 792*z - 215284 = 0. Calculate z.\nAnswer: -1006, -1, 1, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-6))\/((-7)\/((-14)\/3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 783 is divided by (-1515)\/(-95) - (-1)\/19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/(-14150))\/((-2706)\/33825).\nAnswer: -2\/283","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 2901, 4239, 6659, 10317, 15369, 21971, 30279?\n\"Answer: 26*h**3 + 385*h**2 + h + 2489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 2*t - 4. Let z(a) be the second derivative of a**2\/2 + 8*a. Suppose 2*r - 3*r = 1. Determine r*l(q) - 5*z(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -z + 3*k - 11, 3 = -5*z + 4*k - 2*k. Solve -16 = -3*l - z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 + 6. Let x be (-18)\/8 - (-1)\/o. What is the nearest to -1\/4 in -1, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40249 divided by 2.\nAnswer: 40249\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -692, -1222, -1752?\nAnswer: -2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**2 - 17*v - 87. Let u(w) = 5*w + 22. Let h be u(0). Let n be g(h). Solve n*j = 25*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1840.582 rounded to 0 dps?\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 14*l**2 + 64*l - 363*l - 19*l**2 - 194*l + 7*l in the form u*l + r*l**2 + d and give u.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 24\/84*-35*1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -9*t**2. Let w(m) = -12*m - 3. Determine w(a(d)).\nAnswer: 108*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = i + g - 1, 2*i + 3*g - 7*g = -4. Suppose i*n = -2*n + 10. Suppose 3*c + c = -h + 6, n*c - 13 = -4*h. Do c and 1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f + 11*f + 60 = 0. Is (-2)\/(-3)*f\/(-9)*9 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.142772 to three decimal places.\nAnswer: 0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 58020 and 2100?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 52*m**3 + 6*m**2 - 39*m - 44. Calculate z(-1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -18257 - 6370 - 8889 = 532*d for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2240\/(-252))\/(-8)*22\/(-55)*1.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 6124085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*(sqrt(539) + -2) + sqrt(539) + (sqrt(539)*2 + sqrt(539))*-1 - (1*sqrt(539) + 3 + -5*(sqrt(539) + 1) + 0))*6)**2.\nAnswer: -28224*sqrt(11) + 953100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.056 plus -978020430?\nAnswer: -978020430.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 215296015 and 220.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 8*d = 400. Suppose -4*k = k - d. Suppose -2*j - k = -2*p - j, 2*j - 48 = -4*p. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3, -6, 3.\nAnswer: -6, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, d: 3, n: 2, o: 2}. What is prob of picking 2 e and 1 n?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1187721 is divided by 891.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -0*x - 30. Suppose x*t + 70 = 3*t. Which is greater: t or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 15\/5 + (2 - 2). Suppose i*h - 3 = 3. Solve 2*c - 2*n + 16 = -6*n, 0 = -h*c + 2*n - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.0284825 hours in weeks?\nAnswer: 0.0239790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the first derivative of 19*t**3 + 57*t**2\/2 - 79*t - 40. Let c(q) be the first derivative of m(q). Find the first derivative of c(b) wrt b.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -818 - -338?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -4\/61677 and -103\/1246.\nAnswer: 123354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the third derivative of -h**6\/300 - h**5\/50 - h**4\/30 + 7*h**2. Factor g(s).\nAnswer: -2*s*(s + 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3\/4, 3\/71, 0.9, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.04 (b) 48 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2260230 to the power of 1\/2, to the nearest integer?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-5\/7)*s)**34*s*(s\/(s**(-5\/8)\/s))\/s*(s**(-8)\/s)\/s assuming s is positive.\nAnswer: s**(131\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2008590, 2008606, 2008624, 2008638, 2008642, 2008630, 2008596, 2008534?\nAnswer: 2008438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 79 = -6*z + 73 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 3*u - 2)*(-u**3 - 3*u**3 + 2*u**3).\nAnswer: -6*u**4 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 697814775 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 1\/13 (b) -0.4 (c) 4 (d) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -15*z**2 + 32. Let d(j) = -6*j - 254. Give a(d(x)).\nAnswer: -540*x**2 - 45720*x - 967708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**0)**(2\/33))**26*((c**1)**(11\/5))**(13\/6) assuming c is positive.\nAnswer: c**(143\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the third derivative of -7\/24*v**4 + 0 - 2*v**2 + 1\/60*v**5 + 71*v - 59\/6*v**3. Differentiate l(c) wrt c.\nAnswer: 2*c - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 101942688 to the nearest integer?\nAnswer: 10097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2.5 and -0.024.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1746.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + (3 + 3)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 148 is divided by 43.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 569, 0, -1, -13, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/309315 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in 10\/7, -0.02, 2\/5, 4, 87\/5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the first derivative of -128\/3*x**3 + 12\/5*x**5 + 1\/7*x**7 + 0*x + 0*x**2 + 0*x**6 + 0*x**4 + 113. Find the third derivative of h(t) wrt t.\nAnswer: 120*t**3 + 288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6\/11? (a) 24 (b) 0.4 (c) 6\/5 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 divided by 916658.\nAnswer: 9\/916658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/((106\/530)\/((-1)\/(-15))))\/((-1)\/90).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -122 - -200200?\nAnswer: 200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 5*f + 0*f**2 - 2*f**2 + 0*f**2. Let t(v) = -2*v**2 + 6*v. Suppose -10*u + 4*u - 36 = 0. Give u*o(r) + 5*t(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*2*sqrt(128) - (sqrt(128)*1*-4 + sqrt(128) - sqrt(128)))\/((sqrt(4400) + (sqrt(4400) + -2*sqrt(4400) - sqrt(4400)))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 506 (b) 1\/2 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 6856, 12087, 17318?\n\"Answer: 5231*i + 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31265312?\nAnswer: 2, 13, 17, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (15*h + 10*h - 7*h)*(-4 - 1 + 4) - 3*h - 4*h + 6*h + (2 - 5 + 2)*(-h - 2*h - h).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**2 - 7*q + 4. What is k(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/25271 in 1\/3, 245, -3\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**2 + 24*b + 100. Let o be f(-19). Suppose -259*l + o = -258*l. Solve 14 - 4 = -l*c + j, 4*c - 2*j + 8 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1\/2 (b) 20 (c) -5 (d) 0.4 (e) 114\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 6*x - 10, -5*x + 121495 = -5*u. Let r = -737 + 14734. Let z = u + r. Round z to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 6*s - 13. Let x be y(-7). Let r = x + 60. Suppose -4*w + r*n + 440 = 0, 3*w - 110 = 2*w + n. List the prime factors of w.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -51, -1, -292475 in decreasing order.\nAnswer: 5, -1, -51, -292475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the second derivative of 0 + 23\/6*s**7 + 0*s**6 + 96*s + 2*s**2 + 0*s**4 - 5\/2*s**3 + 0*s**5. What is the second derivative of m(i) wrt i?\nAnswer: 3220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 84684457 and 572?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**3 + 9*h**2 + 8*h - 4. Let j(x) = 3*x - 10. Let u be j(4). Suppose 2*l + 18 = -3*i, -3*l = -i - 19 + u. What is m(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:32 PM and 11:24 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 200 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 2*a**2 - 54*a - 320. What is the tens digit of v(-41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -328, -326, -324?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.06 - -2627?\nAnswer: 2627.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1870 divided by -5?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -0.1, -1, -212\/205?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 31*h**2. Let m(w) be the third derivative of -87*w**2 + 0 + 0*w**3 + 0*w - 1\/8*w**4. Calculate v(m(b)).\nAnswer: 279*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-3 - 1 - -5) + 0 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0338 to 3 dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1883 and 2421?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.1, -14\/27, -16.38028?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 41 - 39. Let z be (0 + -1)\/(b\/6) - -3. Suppose 0 = -g - z. Solve g = -5*n - 7*a + 3*a - 29, -4*n - 2*a - 22 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3.191 + 0.191. Which is the nearest to 3? (a) 4 (b) i (c) -3\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -241 + -0.04\nAnswer: -241.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*s**5 + 3*s**4 + 126*s**3.\nAnswer: -3*s**3*(s - 7)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -109, -123, -153, -205, -285, -399, -553, -753?\nAnswer: -1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000004634 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 175.000326 + -175. Round f to five dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14797*f - 25619 = 980577 for f.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 392791 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 385*h - 325 - 8618 - 1452 = 0 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z*z\/(z*z*z*z**(1\/2)*z)))**(-33))**(-10\/17) assuming z is positive.\nAnswer: z**(1155\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the first derivative of 31*y**4\/2 - y**3\/3 - y**2\/2 + 2*y + 33. Let s be f(1). What is the greatest common factor of s and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -5*d**5 + 3465*d**4 - 756135*d**3 + 44582195*d**2 + 1421091480*d + 9253566000 = 0.\nAnswer: -12, 175, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -21567034?\nAnswer: -21567034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 - 88?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x**4 + 180*x**2 - 160*x - 336 = 0. What is x?\nAnswer: -7, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 98.85 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1279 - 1281. Let t = 19.6 + -20. Which is the third biggest value? (a) 0.3 (b) -1\/10 (c) g (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11038 divided by 2.\nAnswer: -5519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 66 - (11 - -66 - 33)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -5*c - 0*c - 20, -2*m = -4*c - 18. Let u(y) = -6 - 10*y + 2*y**3 + 7*y**2 - y**2 - y**3. Is u(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the second derivative of 0 + 2\/3*n**3 + 3*n - n**2. Let a(u) = u**3 + 3*u**2 - u - 1. Let v be a(-3). Calculate o(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1 (c) 0.028 (d) -0.225 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5965649 is divided by 8773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 + 5.01. Let w = 79 + -80. Let f = -34.2 - -34.1. What is the closest to w in 5, z, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.4? (a) 0.02 (b) 2 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1752, -1740, -1728?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify y\/(y**(-2\/11)\/y)*y**(1\/34) assuming y is positive.\nAnswer: y**(827\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let -4*z**5\/9 + 4564*z**4\/9 - 440744*z**3\/3 + 11596112*z**2\/9 - 17831264*z\/9 - 10251392\/3 = 0. Calculate z.\nAnswer: -1, 4, 6, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -13\/37 in 5.1, 15\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 44211925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t**2 - 10*t + 21. Let g be o(6). Let l be (-39)\/(-12) + (-1)\/4. Let y be (-1)\/g + 2\/l. Which is the closest to -0.1? (a) 0.1 (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + -9 + -1 + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -122*b - 192*b - 75*b + (-1 + 3 - 4)*(5*b - b - 3*b) as h*b + p and give h.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -320 (base 14) in base 9?\nAnswer: -754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, 0.34, -1\/22, 1\/12?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 704946 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by -1324.\nAnswer: 1\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4554909713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 5 + 11 = 0, -72 = -3*l - 3*i. Let w(m) = -m + 6. What is w(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -347, -1383, -3095, -5465, -8475, -12107?\nAnswer: -16343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*s**3\/2 - 345*s**2\/2 - 1908*s - 5562.\nAnswer: -3*(s + 6)**2*(s + 103)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-1*sqrt(70)\/sqrt(2) + sqrt(175)\/(sqrt(5)*2))\/(4*(2*sqrt(500) - sqrt(5))).\nAnswer: -sqrt(7)\/152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand k - 7 + 7 - k + 2*k - 3*k - 2*k + 3*k - 3*k + (k - 6*k + 3*k)*(3 - 5 + 4) - k + 5 - 5 + k + 2 - 2.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -544 + 1277. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(684) + -1 + sqrt(684).\nAnswer: 4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - 2 - 33 - (622 - 614).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**2 - 40*z + 106. Determine y(-37).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence birw when four letters picked without replacement from {i: 1, w: 1, r: 1, q: 1, b: 2, h: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -55, -78, -91, -88, -63?\n\"Answer: d**3 - d**2 - 27*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10010100 + 101110111101100000?\nAnswer: 101110111111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the first derivative of 7*z**2\/2 - 4*z + 1. What is the tens digit of h(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(120)\/(sqrt(324)*1))\/((sqrt(384) - (sqrt(384) - (sqrt(384) - sqrt(384)*-1) - sqrt(384)) - sqrt(6)) + -6*sqrt(30)\/sqrt(5)))**2.\nAnswer: 5\/23409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2091401 - 1713.8.\nAnswer: -1714.0091401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 285 divide 127965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + (2 - 2) - (-1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**3 + 15*w**2 - 17*w - 22. What is t(-16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1069 + 1079. What is the second smallest value in 3, a, -0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-11)\/((-44)\/8))\/(1\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4236 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 71647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**2 + 4*a + 62. Suppose -14*f = -f - f. What is the lowest common multiple of 9 and w(f)?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25668757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -4*r**2 + r**3 + 6*r**2 + r**2 in the form w*r**2 + u*r**3 + y + c*r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 509322618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -2*l**5\/11 + 554*l**4\/11 - 37016*l**3\/11 + 732648*l**2\/11 - 4445280*l\/11 = 0.\nAnswer: 0, 14, 60, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -96\/11 - -244\/33. Let k = 109\/2 + -53. What is the closest to -2 in s, k, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 3*i)*(0 + i + 0) + 2*i**2 - 2 + 2 + (-i - 5 + 5)*(-i + 5*i - 5*i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1872) - (-4 + sqrt(1872)*2)**2 - ((sqrt(1872) - (sqrt(1872) + 1)) + -5)) + (4*6*sqrt(468))**2.\nAnswer: 204*sqrt(13) + 262070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 34 + -2 + (10 + -25 - -3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -1, 9, -0.4, -18, -0.1 in increasing order.\nAnswer: -18, -1, -0.4, -0.1, 0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 70077710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18758 and 2075?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 + 3*g + 5. Let k(i) be the second derivative of -i**3\/3 + 7*i**2\/2 - 8*i. Let t be k(6). Determine v(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 3 = -0*o, -5*o = 5*a - 15. Let h(b) = 2*b - 3. Is h(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j = 16*o - 92, 56*o + 0*j + 4*j = 28*o + 23*o + 3*j + 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 54178 - 56908 = -390*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**2 + 17*q - 65. Let p be u(12). Let r be (-1)\/(3 + -2)*0. Sort 1, r, p in ascending order.\nAnswer: p, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**3 + 18*g**2 + 19*g - 189. Let z be f(-16). What is the greatest common factor of 4 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*v - 2*v + v + (2 - 2 + 1)*(v - 3*v + 6*v) - v - 3*v + 3*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 75 a factor of 87978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 r, 1 b, and 1 t when four letters picked without replacement from {l: 6, t: 1, r: 1, a: 6, b: 2, m: 2}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6340614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m + 2*y - 264, 2*m = -2*m + y + 523. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 36 - 36. Suppose -2*l - 5*j = -24, -3*l - 2*l + 3*j + 29 = p. Let x = 14 + -7. Calculate the lowest common multiple of x and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lssssssl. What is prob of picking 1 l and 2 s?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2 and 778190.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(1\/9)\/(c\/c**(-1\/4)))**(4\/3) assuming c is positive.\nAnswer: c**(-41\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4652992 to the power of 1\/2, to the nearest integer?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1.6 + -0.4. Let p be (0 + -5)\/((-3345)\/446). Sort 1, p, w, 0.4 in descending order.\nAnswer: 1, p, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 740*n**3 - 7*n**2 + 2*n + 2273049.\nAnswer: 2220*n**2 - 14*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2223815 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a**3 + 33*a**2 - a + 40. Give l(33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**2\/11 + 58*f\/11 - 124\/11.\nAnswer: 2*(f - 2)*(f + 31)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: fc4d (base 16) to base 10\nAnswer: 64589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minus -306739011.9?\nAnswer: 306739071.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, o: 1, m: 1, a: 1, v: 1}. Give prob of picking 1 v and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out 105383637 - -0.091123.\nAnswer: 105383637.091123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*b + 4 = 29*b, 4*m - 5*b = -2. Suppose -2*d - d + 5*p - 5 = 0, -2*p = m*d + 14. Sort 10, -2, d in decreasing order.\nAnswer: 10, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*b = -1980387 - 503991. Calculate the greatest common divisor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 216 and 1134.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = c**3 - 6*c**2 + 5*c + 13. Let i(d) = d**3 - 5*d**2 + 4*d + 11. Let g(t) = -5*i(t) + 4*p(t). Let a(h) = -h**3 - 1. What is 5*a(z) - 2*g(z)?\nAnswer: -3*z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 259340470.\nAnswer: 2, 5, 25934047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:17 PM and 11:53 PM?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -9*k + 12. What is r(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 19, 123, 313, 601, 999, 1519, 2173?\n\"Answer: 2*s**3 + 31*s**2 - 3*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = 24155 + 24953. Suppose -g - 16190 = -3*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -535*0.2.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0064779528 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.148253 milligrams to micrograms.\nAnswer: 5148.253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2257 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -373 greater than or equal to -373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32184 is divided by 10721?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 560\/19 + -17179\/608. Find the common denominator of x and -79\/328.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 4*w + 166 = -335, 0 = -4*s - 3*w + 2004. Let d = s + -296. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1301 + -3?\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 70 and 20690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 860639, 860630, 860627, 860630, 860639?\n\"Answer: 3*w**2 - 18*w + 860654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 456 and 345268?\nAnswer: 2071608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4.06 - 22.36. Let d = 18.4 + m. Let o = 0.8 - 1.1. Which is the closest to 0.07? (a) o (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the first derivative of j**3\/3 - j - 4. Let f(p) = 4*p**2 - 5. Let w be -5 + 4*6\/(-6). Give w*q(t) + 2*f(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -14 + 19. Is 1 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(2\/5)\/d*d**34)\/(d**(5\/6)*d**(-29)))**10 assuming d is positive.\nAnswer: d**(1847\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 5*f + 1. Let v be u(11). Suppose -4*p + 44 = -v. Find the common denominator of p and 3 + (-23)\/10 - 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 587 (base 13) to base 10\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 693 minutes after 12:44 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -6165896 by 770737.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: 100189*25\nAnswer: 2504725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7038, -8794, -10558, -12330?\nAnswer: -14110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6984?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26217018 is divided by 8738996?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2\/19, 2, 45?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 1021022 (base 4) to base 11.\nAnswer: 3577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 447402, 190, -1 in decreasing order.\nAnswer: 447402, 190, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1012*q**2 - 5*q**3 + 1012*q**2 - 71*q**3.\nAnswer: -76*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 152*h - h + 44*h - 2 - 2*h**2 - 20*h to the form w + u*h**2 + o*h and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 297335.\nAnswer: 5, 59467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (-372)\/(-18) + 3\/18*-4 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1069\/9 + -119. Suppose 4*w + 36 = -0*w. Let q(i) = i**2 + 10*i + 5. Let k be q(w). Which is the second biggest value? (a) k (b) z (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (75\/135)\/((-25)\/105) - 372\/(-9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by -82.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 20583939 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -373982196 - 7.\nAnswer: -373982203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes before 2:43 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 9) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -48 - -61. Calculate the greatest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7171 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 303858179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 + -5)\/(63\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = u**3 - 6*u**2 + 6*u - 1. Let a be d(6). Let b = a + -29. What are the prime factors of 1\/b - 9212\/(-168)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a such that a**4 + 5*a**3 - 15*a**2 - 5*a + 14 = 0.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 30\/(-90) + (20\/(-234))\/((-42)\/315)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 45241, 90476, 135713, 180952?\n\"Answer: x**2 + 45232*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -4*k - 4*k - 8*k + 19*k. Let t(u) = -75*u. Determine l(t(a)).\nAnswer: -225*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -132*c**3 - c**2 - 2*c - 1. Suppose v + 0 = -1. Let s be b(v). Let m = -19 - -31. Calculate the greatest common factor of m and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41528 bigger than -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 530\/7 - 6187\/28. Let i = -145 - k. Is -0.1 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 251\/3 + -83. Let s = -0.8 + -3.2. Let p be (-2)\/(-3) - (-23)\/(-30). What is the third smallest value in p, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that 360814*q**3\/3 - 481084*q**2 - 4329784*q\/3 - 16 = 0.\nAnswer: -2, -2\/180407, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**3 - 14*t**2 - 16*t + 18. Let f be s(15). Let w be 5\/(10\/4)*12. What is the highest common divisor of w and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o**3\/3 + 6*o**2 - 11*o + 16\/3 = 0. What is o?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -67 - (-95 + -39 + 104)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2079812 is divided by 334?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Is 211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(((sqrt(1573) - (sqrt(1573) - 2*(sqrt(1573) - (sqrt(1573) + 1)))) + -4)**2 - -1*(sqrt(1573) + 1 + sqrt(1573))*-5).\nAnswer: -155 + 550*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.33653*0.5\nAnswer: 0.168265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 4137675 divided by -43?\nAnswer: -96225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**3 + 99*v**2 - 1080*v - 75600.\nAnswer: -(v - 60)**2*(v + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -163 - -238. Calculate the greatest common factor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45941.\nAnswer: 7, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -127820 by -10.\nAnswer: 12782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 39261618 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1614158, 1614296, 1614432, 1614566, 1614698?\nAnswer: 1614828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 626*k**2 - 162*k wrt k.\nAnswer: 1252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seventy-three fifths of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -3 and 149346?\nAnswer: 149349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 4*n - 19 = 9, -6 = 2*n. Suppose 2*z - z - 1 = 0. Let f be -1*z\/((-2)\/(-6)). Sort d, f, -5.\nAnswer: -5, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9.11 plus -0.048?\nAnswer: 9.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*s - 2*s - 3*s - s + 0*s + 2*s + (3 - 1 + 0)*(1 - 1 + s) + 0 + 0 - s - 3*s - 9*s + 3*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3641879 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 8557.032km?\nAnswer: 8557032000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 0) + (-22)\/14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -p + 3. Let j = -5 + 2. Let u(a) = a**3 + a + 28. What is the remainder when u(0) is divided by n(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 30155 (base 6) to base 13.\nAnswer: 1a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -116 divided by -296?\nAnswer: 29\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(168)\/sqrt(8))\/(-1*sqrt(448)).\nAnswer: 5*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - p + 76 = 0, -4*c + p + 120 - 36 = 0. Solve z = 5*z + c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:31 AM and 7:41 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 804019 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/4 - (-1)\/2. Let p = 40 - 8. Let k = 30 - p. Which is the closest to 1? (a) s (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 31*a**2 + 3*a. Is k(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -18\/133 + -3821\/266. Find the common denominator of w and 2 - 3 - (-210)\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -26, -2\/5, -6, -2\/7, 23, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 645802 (b) 69 (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6018 is divided by 1408?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*h**2 + 2*h**2 + h**2)*(-15408*h + 15408*h - 73*h**3).\nAnswer: 146*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 140 divided by 3?\nAnswer: 140\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 236839428*x**3*y**4 + 2*x**3*y**2 + x**2*y**2 - 236*x*y**2 + 179 wrt y.\nAnswer: 5684146272*x**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 5298, 5300, 5304, 5310, 5318?\n\"Answer: j**2 - j + 5298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -1310 divided by 5\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 - 9\/5)*150. Calculate the greatest common factor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 463 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 2, 18\/25, 25, -1\/7 in increasing order.\nAnswer: -1\/7, 0.3, 18\/25, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 20694 - 82775\/4. What is the fourth smallest value in 0.5, -2, -4, c, 2\/1429?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5 - -26) + 0 - (1 + (-7 - -11))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes after 11:42 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 401 minutes after 9:59 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.524 + -1.113. Let g = -1.6 - n. Let s = g + -0.037014. What is s rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 150 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8905*l**3 + 17826*l**3 - 8917*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, 1.1, 3, 4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = 18 - 0. Let a be -1 + -1 + 2 - u. Let g be (-12)\/15*(-15)\/a. Sort -0.2, g, -0.5 in descending order.\nAnswer: g, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the second derivative of n**4\/12 - n**3\/2 - 57*n**2\/2 + 2*n + 2. What is the tens digit of f(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0 + -4*(3 - (-38)\/(-12)). Let x = -2 - -3. Which is bigger: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/5, -1\/2, 1750\/179 in increasing order.\nAnswer: -1\/2, 1\/5, 1750\/179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**(-17\/5))\/d**(2\/3) assuming d is positive.\nAnswer: d**(56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 86 - 90. Let p be 352\/(-132)*(10\/a + 1). Let o(c) = c**2 - 8*c + 1. Let d be o(8). Solve p*g + 29 = -3*k, -2*g - 2 = -3*k - d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (n - 2*n + 0*n)*(-137 + 75 + 24)*(-2 - 4 + 1)*(-2 + 6 + 2) to z*n + m and give z.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.84 - 1.16. Let m = 23.086 + -0.166. Let j = 23 - m. Which is the second biggest value? (a) r (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 + 9. Let i = -5.5 + n. What is the smallest value in -0.4, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 1 (c) -0.07 (d) 6\/5 (e) -0.064 (f) 24.45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*d**3 + 0*d**3 + d**3)*(0 + 3 + 8) + (-6*d**2 + 6*d**2 - 6*d**2)*(0*d + 0*d - 2*d).\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the third derivative of u**6\/360 - u**4\/18 + 35*u**2 + 2*u. Factor s(m).\nAnswer: m*(m - 2)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -42\/11, 19, 6\/5 in descending order.\nAnswer: 19, 6\/5, -42\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 241644411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g and 1 z when four letters picked without replacement from {g: 3, j: 2, z: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5826 and -28?\nAnswer: 163128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 28 in 44, 0.16, 0, -5?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 41.5 + -44.08. Let c = 2.58000494 + m. Round c to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 0*d**2 + 4*d - 2 + d + d**2 - 7*d. Let a be f(5). Let t be (4\/6)\/((-2)\/(-39)). Calculate the highest common factor of a and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2320010 + 321003?\nAnswer: 3301013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 400*o**4 + 2*o**5 + 2259*o**2 + 41169*o**2 - 4224*o**2 + 20394*o**3.\nAnswer: 2*o**2*(o + 2)*(o + 99)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 4*w**2. Suppose 15 = 3*t - q - 2*q, 11 = t + 2*q. Let j(a) = -t*a - 10*a - 6*a + 18*a. Determine j(g(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 68\/(-51)*(-6)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/(140\/7)*-22)\/((-2)\/(-4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 29*i + 789. What is q(-17)?\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sgzzzgfzgzzz. Give prob of sequence sf.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 46*u**2 - 4672*u + 4672*u + (-1 + 5 - 1)*(-3*u**2 - u**2 + 5*u**2) + 4*u**2 - 2*u**2 + 0*u**2 + (2 - 3 - 1)*(-2*u**2 + 4 - 4).\nAnswer: 55*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 13*f + 9 + 7 - 16*f. Let x be l(6). Which is the closest to -0.6? (a) 4 (b) -1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0119218 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 6.1 and 0.5785633?\nAnswer: 5.5214367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 - 9) + 285\/19. Suppose -3*c - 21 - 25 = -l, 0 = -2*c - 5*l - 59. Let h = c - -27. Is z < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/((144\/(-27))\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -3*s - 612. Let b(g) = -36. Let t(a) = 51*b(a) - 3*u(a). Let y(d) = 98*d**2. What is t(y(n))?\nAnswer: 882*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -475b (base 12) to base 7.\nAnswer: -32204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d + 10. Suppose -2*j + 0*j = -8. Suppose -2*w = -7*w - 3*k - 6, 2*w - 8 = j*k. Calculate i(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the first derivative of -s**3\/3 + 2*s + 13606. Let j = 13 - 19. Determine x(j).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**2 - 11*p - 6. Let b be a(-10). Suppose -17 + 61 = b*d. Suppose 3*v - 16 = d. What is the greatest common factor of v and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 4*t**3 + t**2 + 2. Let p be w(2). Let h = -10\/17 + -373\/204. Find the common denominator of h and (p\/36)\/((-10)\/15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 5*i = -18342, 553*g + 7*i = 555*g - 9198. Is g a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aar. What is prob of sequence ar?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -24 by -12491.\nAnswer: 24\/12491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**2 + 2*f - 2. Let n be h(2). Suppose -o = -n*o + 10. Suppose 3*u = -o*u. Solve -k = -u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -20.03, -26\/3, 0 in increasing order.\nAnswer: -20.03, -26\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2016, 1818, 1630, 1458, 1308, 1186, 1098?\n\"Answer: i**3 - i**2 - 202*i + 2218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -214*g - 391.\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7 - 43. Let z = o - -44. Calculate the remainder when 62 is divided by (z\/(-4))\/(12\/88).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.0487 in 3, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*1\/(265\/(-2226)*(-12)\/(-20))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -91? (a) 3 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(12\/11)\/f**31)\/(f**(-1\/2)\/(f\/(f\/(f*(f\/(f*f**(-25)))\/f)*f))) assuming f is positive.\nAnswer: f**(-119\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**3\/5 + 12*b**2\/5 + 22*b\/5 + 12\/5.\nAnswer: 2*(b + 1)*(b + 2)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = -4*n - 7, -5*l = n + 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 2*x**2 - x. Suppose -t + 4*t = 3. Let j be i(t). Suppose 0 = n + n, -5*n = q. Which is the third biggest value? (a) j (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -311330 (base 6) to base 11.\nAnswer: -17837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5813033g to milligrams.\nAnswer: 581.3033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d - 1045*z + 1048*z = 13, 13*d - 4*z = -7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((v*v**(2\/9)*v)\/v)\/v)**(-9\/10))**(-44) assuming v is positive.\nAnswer: v**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 8208.719ml to litres.\nAnswer: 8.208719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes after 3:37 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*x + 4223 + 3797 = 0. Let t = x - -573. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36942 is divided by 8947?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 92668*4\nAnswer: 370672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d + 1. What is h(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1241746901 a multiple of 821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 38511 and 7227?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 - 3)*(-56*r - 41*r + 184 - 184 - 104*r).\nAnswer: 201*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2875094 or -66127176\/23?\nAnswer: -2875094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 561*r**3 + 28*r**2 - 18*r - 41. What is l(-2)?\nAnswer: -4381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -81\/126355084 and -91\/8?\nAnswer: 252710168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 r and 1 c when four letters picked without replacement from ucrccrrrrcucurc?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/(-25)*((-819)\/1456)\/((-63)\/120).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -3, 16, 47, 90, 145?\n\"Answer: 6*j**2 + j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 17226 = 2*w, -3*z + 3*w + 25855 = 2*w. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -584.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 13, 2, -15, 3, -7 in increasing order.\nAnswer: -15, -7, -2, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93195.\nAnswer: 3, 5, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9 - -24. Suppose -r - l = -4*r. Suppose n - 49 = 3*h - 3, -r*n - 4*h = -287. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 10 = 0, 3*b - 2*v - 22 = -b. Suppose -d - 12 = -b*d. Suppose -3*g = -4*g + d. Solve 5*m - 2*m = -g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = -0*s + 261. Let p = 124 + s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor b**5 - 595*b**4 + 2944*b**3 + 3540*b**2.\nAnswer: b**2*(b - 590)*(b - 6)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - v = 5*r - 15, 2*r = 2*v. Suppose -4 = -4*m - a + 7, r = 3*m + 4*a. Calculate the highest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/38230 and 59\/15292.\nAnswer: 76460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be 6\/3 + (-4)\/2. Suppose u = s - 0 - 1. Is 15 a factor of 6*(-1 + 6\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*t + 784 = -7*t - 2*t. What is the greatest common divisor of 2296 and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -359*a - 49 + 705 = -421 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2782718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = 2*m + 3. Calculate the lowest common multiple of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -3*y**2 + 114*y + 235. Does 2 divide a(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 45256112 and 1504?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -20130131 (base 4) to base 14.\nAnswer: -c869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v - 5*n - 40 = 0, 5784*n + 70 = 5*v + 5789*n for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4768 and 49468.\nAnswer: 395744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7320, 29279, 65878, 117117, 182996?\nAnswer: 263515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 7) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 40735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y - 10, z - 5*y + 6 = -7*y. Does 13 divide (-12)\/z + 2464\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -2\/1173?\nAnswer: -2\/1173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z + 2. Let k be q(-8). Let a be -2*3\/k*1. List the prime factors of 34\/8*(3 + a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -6*1*(3\/2 + -2). Solve 12 = y + u*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -3*i**3 + 2*i**2 - 3*i + 3. Let m(o) = 2*o + 16. Let g be m(-7). Give x(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 + 30 + -20 + 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 30\/9942101 or -1?\nAnswer: 30\/9942101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 5, z: 6, n: 1, d: 1, y: 3, f: 3}. What is prob of picking 2 y?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*b + 6*b + 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be 12 - (-12)\/10*(-20)\/(-8). Suppose 0 = t*v - 7*v - 10*v. Factor 2\/5*n**2 + 2\/5*n**3 - 2\/5*n**4 - 2\/5*n**5 + v + 0*n.\nAnswer: -2*n**2*(n - 1)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the second derivative of l**4\/9 + 2564*l**3\/9 - 2566*l**2\/3 + 2229*l. Determine j, given that r(j) = 0.\nAnswer: -1283, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:59 PM and 4:33 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -5*l + 29. Suppose -6 = 4*y - 3*y - 5*i, 3*y - 2*i = l. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 18*t + 3*t**3 + 3*t**3 - 5*t**3 - 32*t**2 + 13*t**2. Let v be a(18). Suppose 3*c + 4*i - 102 = v, -i - 3*i = -c + 50. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/6 - 46\/4. Let d = w + 14. Suppose -2*i - 16 = -0*n + d*n, -5*n = -3*i + 8. What is the closest to 1 in -2\/7, 2\/5, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - 1) + -18 + -1 + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -10*(89 + (-156512)\/1760)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3205298910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -26, -3, 502 in decreasing order.\nAnswer: 502, -3, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 125796?\nAnswer: 2, 3, 11, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 303 and 1813657.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be 21\/4*(-24)\/(-9). Suppose -2*r - 3*r + n = 3*s, 2 = -3*s - r. Let f = 2 - s. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -44\/15 + 46\/15. Let f(w) = w - 4. Let n be f(6). Let p = 0 - n. What is the closest to p in s, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*k - 150 = -18*k. Suppose 2*d - 38438 = l, -2*l + k*d = 43610 + 33270. Round l to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v\/(v\/(v**7\/v*v))))\/(v**(5\/9)*v))**(-1\/69) assuming v is positive.\nAnswer: v**(68\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-2) + (-135)\/(-1). Suppose t + 3*t = s. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 91367219 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/(210\/12)*((-9)\/3)\/(81\/5805).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**2 + 8*y - 17. What is p(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, u: 4, x: 2, m: 1}. Give prob of sequence wm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -182*m - 850. Calculate the remainder when h(-5) is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -13841.9 + 13842. Is -4.67 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.743 to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (224\/728)\/((-5)\/(10\/(-4))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -10318330233 - -122.5\nAnswer: -10318330110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 46*o**2 + 398*o\/5 + 156\/5 = 0.\nAnswer: -26\/23, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the second derivative of -c**4\/2 - c**2\/2 + 2*c. Let s(m) = -3*m**2. Let r(f) = 5*s(f) - 2*u(f). What is the first derivative of r(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.1516 and -447316.12589.\nAnswer: -447316.27749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the third derivative of o**7\/630 + o**5\/60 + o**4\/24 + 4*o**2. Let s(l) be the second derivative of w(l). Differentiate s(p) wrt p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -c + 19 + 11 - 32 - 522*c**3 - 32*c**3 to the form a + y*c + m*c**3 + l*c**2 and give m.\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 32211326669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-42))\/(-34 - 34736\/(-1092))?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1174716517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26.159*0.5.\nAnswer: -13.0795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -14 + 5 + 9 - (-8 - -16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -36*u - 479. Let t(s) = s**2 - 36*s - 486. Let b(k) = -3*f(k) + 2*t(k). What is the first derivative of b(c) wrt c?\nAnswer: 4*c + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 76\/95*1*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sos when three letters picked without replacement from {d: 2, o: 1, s: 5, h: 8}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1421213 + -2412?\nAnswer: 1413301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1304 rounded to the nearest 10?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -64 - -96. What is the lowest common multiple of r and (2 - -4)*7\/(63\/60)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -20.3684 - -20.41. Round x to three dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rr when two letters picked without replacement from bboooobrpr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -200 (base 10) to base 15\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17 - (36 + (-26 - -2)) - (1 - -48).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (2*(sqrt(1100)*1 + 0))**2 + 0.\nAnswer: 4399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is f in 2*f**2 - 22*f + 36 = 0?\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is d in 16*d**3 + 5518*d**2 + 473646*d - 59292 = 0?\nAnswer: -183, -162, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 25 - 23. Solve -4*j - 3*q = -4*q - 9, -b*q = 3*j + 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -3 and -0.1283.\nAnswer: -3.1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 1 - (-4 + 0 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 256\/10 + (2 - (-24)\/(-15)). Suppose -4*i - 8 = -2*x - q, -3*i = x - 1. What is the derivative of d**i + 12*d**2 - 43 + 0*d**2 - 8*d**2 wrt d?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2799?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*r - 24*r = 2*a, -2*a = -r - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -17 - (-15 + 96\/16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -16 in 1, -5, -0.2, -6\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.1063 and 64234.\nAnswer: 64233.8937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6448 and 7254.\nAnswer: 58032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*q + 357 + 9*q - 59*q + 17*q + 15*q + 8*q.\nAnswer: q + 357","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 151\/111 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -7*p**3 + 59 - 32*p**4 + 5*p**3 - 3*p**4 + 6*p**4 wrt p?\nAnswer: -116*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 3, 1, 2, 452 in descending order.\nAnswer: 452, 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 8 = 2*i, i + 16 = -3*i + 2*p. Let x = i + 6. Suppose 5*z - 75 = -q, -5*z + 95 = q + x*q. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 60 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b**3 + b - 1. Let k(z) = 2*z + 2*z - 39*z**3 - 77 - 19. Let w(s) = -k(s) + 4*n(s). What is the first derivative of w(y) wrt y?\nAnswer: 129*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 103880 + -348.5.\nAnswer: 103531.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3181.743l?\nAnswer: 3181743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 25926 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Do 2 and -47.811 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -1.083 + -240385\nAnswer: -240386.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes after 11:38 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -113974468 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k\/(k\/k**(-2\/37))*k)\/k)\/k**(-1\/10))\/((k\/(k*k**4))\/(k*k*k**(7\/5)*k*k)) assuming k is positive.\nAnswer: k**(699\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 21780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**3 + 18*l**2 + 21*l - 9. Let c(j) = -2*j**2 - 2*j - 16. Let z be c(0). What is the units digit of a(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -2*d**3 + 4*d**2 + d - 1. Let g be f(2). Let v be -79 + (-24)\/32*4*g. Let b = -40 - v. What is the lowest common multiple of 39 and b?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14252230 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/8 - (3 - (-15)\/(-6)). Suppose -1100 = -4*k - q*k. What are the prime factors of k?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5432658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.07, 0.5, -24, 12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -3 (b) -5 (c) -14.2 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:38 AM and 4:08 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -161\/73 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply -196914506 and 1.\nAnswer: -196914506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the second derivative of -i**5\/60 + i**4\/4 + i**3\/2 - 7*i**2\/2 - 7*i. Let o(m) be the first derivative of t(m). What is o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5679498.\nAnswer: 2, 3, 11, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 16) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -110475*a - 12 + 55234*a + 55241*a - 61*a**3 to v + k*a**2 + y*a**3 + f*a and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2.34 (b) 24 (c) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, 0, 3 in decreasing order.\nAnswer: 3, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 0.01, 0.5, -159 in decreasing order.\nAnswer: 0.5, 0.01, -4, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v + 3 - 1. Let a = -1212 + 2509\/2. Let j = a + -43. Put -2, j, v in increasing order.\nAnswer: -2, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.002 and 0.277.\nAnswer: 0.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 410 (base 15) to base 14\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -2*z. Let s(n) = 4*n. Let g be s(2). Suppose -w + x + g = 3*x, 3*x = 12. Solve 4*v + w*r = 4*r, 2*r + 2 = z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3ebce + -72?\nAnswer: 3eb5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 316 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -21 + 24. Suppose -4*g - 4 = 3*y, 2*y + 2*y + 24 = 4*g. Suppose g*n + 2*n = 0. Solve -2*r + i*r = n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -5*f + 5. Let z(l) = 4*l - 5. Let v(b) = -3*p(b) - 4*z(b). Suppose 0 = -21*x - 14*x + 210. What is v(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -29*c**2 - 3*c. Let j(w) = -86*w**2 - 9*w. What is 6*j(k) - 17*y(k)?\nAnswer: -23*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 10*j**2 + 25*j - 25*j + (-7 + 19 + 2)*(3*j - 3*j - 2*j**2).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 52 = 2*r, 0 = -2*l - 2*r + r + 18. Let i be (-6)\/4*(-78)\/(-27)*-3. Suppose -4*w - y + 31 = 0, -y + 2*y = -2*w + i. Solve -4*p = w + l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11212 - -1101120100012?\nAnswer: 1101120112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51*w = -47*w - 48. What is the highest common divisor of 300 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the second derivative of 3*u**5\/4 - 4*u**2 - 23*u + 3. Let t(y) be the first derivative of -2*y**4 + 4*y + 10. What is 6*k(m) + 11*t(m)?\nAnswer: 2*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 25, -2, -19, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p**2 - 1244*p - 193442 = 0 for p.\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sum -330164.9 and 5.\nAnswer: -330159.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 237 - 227. What is the greatest common divisor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 3 = -0*n. Let m = n - -15. Let j = m - 8. Solve 2*t + 2*w = j, -5*t - 2*w = -14 + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 19947*b + 19927. Give x(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 276\/7, 2\/7, -1\/3 in decreasing order.\nAnswer: 276\/7, 2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 37*b**3*c**3 - b**3*c + 7*b**2*c**3*w**2 - 14*b**2*c**2*w**2 - 3*b**2*w**2 + 50*c**3 - 8*c**2 wrt c?\nAnswer: 222*b**3 + 42*b**2*w**2 + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*k**2 - 3*k**2 + 36*k**2 - 12*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 125018 is divided by 723.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**2 - p + 1. Let q(f) = 2*f**3 - 4*f**2 + 4*f - 4. Let o = 677 - 673. Suppose 3*x = -4*j - 11 + 34, -28 = -3*x - 5*j. Determine o*u(m) + x*q(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y**4\/4 + 163*y**3\/4 - 1691*y**2\/4 + 2897*y\/4 - 342 = 0. Calculate y.\nAnswer: 1, 9, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in seventeen quarters of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-32)\/24)\/(14\/3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i - 4*u - 88, u + 31 + 48 = 2*i. Let s(h) = 11*h - 65. What is the remainder when s(16) is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/612681, 454, -0.2 in decreasing order.\nAnswer: 454, 4\/612681, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9764 + -9763.9. Which is the second smallest value? (a) 1.33 (b) -2\/13 (c) 0.02 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.5, -10\/9, -3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 46 - 47. Let x = 2 - 2.1. What is the biggest value in x, -2\/7, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1089*u + 2918*u - 1384*u + 152494 = -1390*u for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10101111001010 + 1110?\nAnswer: -10101110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -99, -183, -265, -345, -423, -499?\n\"Answer: u**2 - 87*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0 and 0.082.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 4*o + 79. Let h(l) = -8*l - 158. Let f(z) = 3*h(z) + 5*t(z). Let r be f(-20). Solve 2*b + r = -3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -45, -54, -89, -162, -285, -470, -729, -1074?\n\"Answer: -2*l**3 - l**2 + 8*l - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -14267.606 to the nearest 10.\nAnswer: -14270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -969 in 0.3, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1270, 3, -12.\nAnswer: -1270, -12, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m**3 - 4*m**2 + 3*m - 6. Let k be o(-5). Let d be 2*k\/((-8)\/(-3)). Suppose g - d = -0*g. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b - 12 + 0 = -2*k - 14 - 17, 7*b - 43 = 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*b - 27*b + 2888 = 0. Solve -37*y - 8 = 5*l - b*y, l + 3*y + 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3a7 - 15?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 8, 16, -2, -4 in ascending order.\nAnswer: -4, -2, 1, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 63\/2 and -29\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of 3*f**6\/5 - 15*f**2 - 4*f + 3. Differentiate y(c) wrt c.\nAnswer: 72*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(5)*-3 - sqrt(45)\/(sqrt(9) + 3*sqrt(9))) + (6*(sqrt(200)\/sqrt(5) + sqrt(40)))\/((sqrt(168)\/sqrt(3))\/sqrt(7)))**2.\nAnswer: 605\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 3*q**2 - 1. Let d(z) = 9*z**2 - 4. Let w(r) = 3*d(r) - 8*t(r). Find the first derivative of w(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = 4*d + 2116, -2*p + 1503 - 104 = -5*d. Suppose 7*s + 187 - p = 0. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -2*q + 2 + 5*q**2 - 2 + q**3. Let a be w(-5). Let m(t) = 2*t - 3. Let j be m(9). Solve j = -5*d - a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7 - -6.7. Let m = 3\/20 + -2\/5. Let r(p) = p + 4. Let k be r(0). Which is the nearest to m? (a) 0 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k**2 + 13745*k + 123300 = 0 for k.\nAnswer: -2740, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -3\/5 (b) -6 (c) 0.01 (d) -1003 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (1 - 1) + -4 + 409 + -406\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.3, 0.5, 0.25, -0.06, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.937541 decades to months.\nAnswer: 472.50492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30084 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 35129700 divided by 3.\nAnswer: 11709900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 54138 = -5*t, 0 = -5*t + 2*p + 17395 + 36713. What is the greatest common divisor of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 34751, 2, -1 in decreasing order.\nAnswer: 34751, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*g**2 - 6*g**3 - 16*g - 8*g**2 + 4*g**4 + 14*g**3 + 8*g.\nAnswer: 4*g*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -9 + 35 + 322*x**2 - 30*x**4 - 322*x**2 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*i - 1114556 + 1111126 = 0 for i.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -5, 3671, 2 in descending order.\nAnswer: 3671, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11260, 11086, 10912, 10738, 10564?\nAnswer: 10390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5138 - 3390. What is the highest common factor of j and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -1 - (-59 + 0 + 36).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 5*u**3 + 348*u**2 + 6460*u - 14440. Let p(r) = -r**3 - 70*r**2 - 1292*r + 2888. Let i(g) = -11*p(g) - 2*z(g). Let i(a) = 0. What is a?\nAnswer: -38, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 133093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 44 + -46. What are the prime factors of i - ((-116)\/6)\/((-22)\/(-33))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the third derivative of -71*n**9\/504 - n**8\/42 - 161*n**5\/12 - 456*n**2. What is the third derivative of l(j) wrt j?\nAnswer: -8520*j**3 - 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 343454, 2747710, 9273556, 21981788, 42933202?\n\"Answer: 343466*v**3 - v**2 - 3*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -99, -189, -267, -327, -363, -369?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1782)\/56133*3*(-2)\/4.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 6 = 0, -2*j + 26 - 3 = f. What is the lowest common multiple of j and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 30 = -4*r, -2*r - 3*r = 2*m + 42. Let g(y) = 2*y + 22. Let w be g(r). Let k(i) = -4 + 10 - 9*i**2 - w. Let a(z) = -3*z**2. What is k(a(q))?\nAnswer: -81*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 9019523923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 5*w + 2*r + 4, w = -5*r + 10. Is w at most as big as 5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 374 minutes before 3:07 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (21 + 25 - 7)*(-12*h**3 + 54 - 54).\nAnswer: -468*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -30\/2572687 and -61\/456690.\nAnswer: 77180610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -6*z - 185. Let s(f) = 7*f + 188. Calculate 6*n(i) + 5*s(i).\nAnswer: -i - 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44838231 is divided by 589?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 5 = 1. Suppose -b*a - 1 = 5. Let y be ((-1)\/6)\/((-2)\/(-9)). Which is greater: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1912 = -3*m - 4*y, 3*m + 2856 - 952 = 4*y. Let f = -241 - m. Is f a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.2704 and -1867?\nAnswer: 504.8368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 8329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 826 is divided by 424?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 401558494 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -18932982, -18932994, -18933006, -18933018, -18933030, -18933042?\nAnswer: -18933054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 366.85 - 367. Let i = 0.3451 - 0.4882. Let j = n - i. Round j to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1097, 6\/5, 2\/219, 0, -3, -3\/5 in increasing order.\nAnswer: -1097, -3, -3\/5, 0, 2\/219, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ln when two letters picked without replacement from elensui?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 126 and 2016.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1345 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -i**3 + 5*i**2 - 12*i + 16. Let s be t(3). Sort 4, 1, s in descending order.\nAnswer: 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -18 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i - 3*i - c = -7, 0 = 3*i + c + 17. Put i, 2, -1 in increasing order.\nAnswer: i, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 9\/13 in 14, 3, 5, -0.793?\nAnswer: -0.793","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 439543 - 263724. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000507482348 to 7 dps.\nAnswer: -0.0000507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15*h**2 + 41*h**2 - 2*h - 88*h**2 to the form t*h + o*h**2 + d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = 4*t + 4. Sort 1, -3, t, 3 in ascending order.\nAnswer: -3, 1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 924 + -924.00004815. What is o rounded to six decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/8*1\/3. Let z be 15*-1*1\/(-3). Let b = 2.1 + -2. What is the nearest to b in r, z, 3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from npkggk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -3*n**2 - 39*n + 3. Let u be 21\/35 - 272\/20. Let h be f(u). Let c(t) = -2*t**2 + 3*t - 1. Calculate c(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9 - 759\/105 - 2)\/((-5)\/35)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**3 + 8*v**2 + 8*v + 7. Let c be d(-7). Suppose c*b - 4*b = 12. Is -2 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -510*w**2 + 111*w**2 - 459*w + 578*w. Let a(i) = -10*i**2 + 3*i. Calculate -238*a(z) + 6*l(z).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -221122 - 10?\nAnswer: -221132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**9*s*s*s**(-17)*s*(s\/((s**(-1)*s)\/s))**(-3\/41) assuming s is positive.\nAnswer: s**(-211\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(4*(sqrt(14)*-3)\/sqrt(2) + (sqrt(77)\/sqrt(176) - sqrt(112)*1)).\nAnswer: 189*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 155\/30 - (-3)\/(-18). Suppose 2*o - s - 8 = -3*o, 5*o + z*s - 20 = 0. Solve 4*h - 5 = o*k - 1, 5*h + 5*k + 10 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (3252\/27100)\/((-19)\/45 + 4\/18). What is the closest to -0.7 in 10\/9, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 6\/7, 33, 12.15 in decreasing order.\nAnswer: 33, 12.15, 1, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 240733541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44*s + 20*s - 64*s + 2*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 122303202033223 + -1?\nAnswer: 122303202033222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -24 + 28. Solve i*q - 3 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*z + 230 - 174 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -3*j + 7980 + 843, 3*m = -2*j - 5290. Let b = m - -2855. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4925, 5664, 6279, 6764, 7113, 7320, 7379, 7284?\nAnswer: 7029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*j + 2*j**3 + 3*j - 3*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 31*m**3 - 5*m**2 + 10*m - 5. List the prime factors of j(3).\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*y + 50 = y. Suppose -3*s + 3*v = -21, -3*v + 0 = s + 1. Is y at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 702*d**3 - 697*d**3 - 43 + 12 + 31.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 2 (b) 171 (c) -1.644 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 752*o**2 - 228 - 3*o**3 - 752*o**2 to y*o + d*o**2 + w*o**3 + n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/((-1)\/(3\/(-3))))\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -5*p**2 - 8*p + 14. Let l(o) = -o**2 + 1. Let q(j) = b(j) - 6*l(j). Let z be 27\/(-15)*-4*(-2 - 8). Let g be (z\/42)\/(4\/(-14)). Calculate q(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyivyvivyyyyi. What is prob of picking 2 i, 1 y, and 1 v?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xww. What is prob of sequence xw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the first derivative of m**2\/2 - 3*m - 8. Suppose 6*g - 16 = -2*q + 2*g, -4*q - g + 25 = 0. What is w(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/50 in -2, -2\/17, -2\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -296444 divided by 5\nAnswer: -296444\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -90467, -180939, -271411, -361883, -452355, -542827?\nAnswer: -633299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-79 - 29 + 71)*(-27 - 7*p**3 + 27).\nAnswer: 259*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the first derivative of -5\/2*q**4 + 8*q**2 + 14\/3*q**3 - 8*q - 8. Suppose r(h) = 0. Calculate h.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -26124 - -26132. Solve 37*a - 42*a = y + 4, -x = 2*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 114.886 to zero decimal places.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 23519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (2 + -1)*3 + (92 - 3) is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 193213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -9*g - 14. Let h be p(-2). Suppose -c + 2*c - h = 0, 712 = 4*s + 2*c. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -854*h + 852*h + 3*r, 4*r = -5*h + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 8.803 take away -0.2272039851?\nAnswer: 9.0302039851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.332 + 1.42. Let k = b + -3.088. What is the fourth biggest value in -1\/3, 5, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -7*y - 28. Let j(w) = 13*w + 4. Let c be j(-1). Calculate the remainder when 209 is divided by i(c).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that -2\/7 + 9\/7*j**2 + j = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*l**2\/4 - 93*l\/4 + 357\/2.\nAnswer: 3*(l - 17)*(l - 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -r**2 + 7*r**3 + 6 - 2 - r**3 in the form j*r + d + w*r**2 + b*r**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 236247 and -25?\nAnswer: -5906175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b = b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9 + 18. Let t be 1380\/w + 1\/(-3). Let d = -42 + t. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y*y**(-11))\/(y\/(y\/y**13*y*y)))\/(y**3*y*y**(-3\/10)\/y) assuming y is positive.\nAnswer: y**(-227\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -330 - -340. Let z = 4 + -4. Solve z = t + t - u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1282732197 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-36)\/16*312\/234.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1260597?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -375 != -375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4985286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7268\/(-138))\/(-79)*-54.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 7941, 15833, 23725, 31617?\n\"Answer: 7892*j + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.07 (b) 0.3 (c) -3\/5 (d) -2\/7 (e) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor y**4 - 14*y**3 + 53*y**2 - 76*y + 36.\nAnswer: (y - 9)*(y - 2)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.02, 4, -10, -17?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the second derivative of -n**5\/20 + n**4\/2 + 4*n**3\/3 - 5*n**2 - 56*n - 2. Give x(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-70)\/2 + -7 + 5. Let r = o - -81. Let i = -18 + r. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the first derivative of 3*d**5\/5 + 27*d**4\/4 + 13*d**3 - 135*d**2\/2 - 150*d - 168. Find x such that h(x) = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2984946 is divided by 764.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4681? (a) 4 (b) 3 (c) -22.44 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 6 = 5*j + 2, j + 8 = 2*u. Suppose 8 = 2*o + 4*v, -5*o - 3 - u = v. Let s(i) = -347*i**3 + 2*i**2 + 3*i + 1. Is s(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u. Let i(q) = -2*q**2 + 896*q - 2. What is m(i(k))?\nAnswer: 2*k**2 - 896*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be 18\/(-171) - (-21)\/(-342). What is the closest to -1\/2 in 1\/2, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**3 - 4*h**2 + 4*h - 5. Let w be i(-5). Suppose 3*b + 18 = 3*f, 3*f + 2*b = -w*f + 28. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62395170 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 74 (b) -3 (c) 3 (d) 4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2800 + 2?\nAnswer: -2798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 15869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (67 - (-21935)\/(-328)) + (3 - (-3134)\/(-1008))?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (8\/14)\/(1\/7). Suppose -h*v + 35 = -33. Let d = v - 15. Solve 0 = -5*q + 3*w - 12, 2*w = 2*q - d*w + 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (-5 - -1) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -48, 3, 2, -4, 0, -1459 in descending order.\nAnswer: 3, 2, 0, -4, -48, -1459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 285504746 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 21 = -3*r. Suppose 2*y = -3*y. What is the smallest common multiple of 9 - y - (1 + -3) and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvvvvvkvkvkvkk. Give prob of picking 4 v.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve m**2\/10 - 168371*m\/5 - 336743\/10 = 0 for m.\nAnswer: -1, 336743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 529.6986ns in microseconds?\nAnswer: 0.5296986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, 6\/23, 3\/5, -2 in descending order.\nAnswer: 3\/5, 6\/23, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11471 is divided by 255.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 2 + -10 + (15 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -615 + 20*y**2 + 204 - 2*y + 207 + 205 - y**4 to the form w*y**2 + b*y**3 + r + p*y + z*y**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 68346944 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -1337*q - 14745. What is x(-11)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12 - -7. Is (-18)\/30 - 188\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from kmzmuz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -210*t - 806. Give f(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 1 + 2)*(0*c**3 - c**3 + 2*c**3) + (-16260 - 15350 - 5403 + 4387)*(2*c**3 - 2*c**3 - 2*c**3) to the form j + b*c**2 + i*c + y*c**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1693491 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -26814*a + 24407*a - 182932 = 0 for a.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:15 PM and 2:41 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -0.05 * 0.03\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 PM and 3:59 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -106 + -1397180?\nAnswer: -1397286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -43.981 - 0.019. Let t = i - -14.8. Let h = 63 + t. What is h rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1212.42 + 1213. Let d = -30.32 + 31. Let k = d - m. Is 1\/5 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 3, -13, -5, 2 in decreasing order.\nAnswer: 4, 3, 2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 25389 and 1092?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1045 - 21955\/21. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d**4\/7 - 16*d**3\/7 + 52*d**2\/7 + 16*d\/7 - 48\/7 = 0.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -20\/23 (b) -0.5 (c) 1 (d) 0.12 (e) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - ((-12 - (-4 - 4)) + 18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -27*f**2 + 7*f - 3. Let v(g) = -14*g**2 + 4*g - 2. Let b(c) = -5*v(c) + 3*y(c). Calculate the common denominator of -41\/10 and b(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 60\/50*(-1)\/(-135)*9\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 96 + -169. Let v = h + 291\/4. What is the second biggest value in 2\/9, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l = 4*x + 9, l + 5*x - 9*x = 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 12528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvwfwvwwvwwqffvvw. What is prob of sequence wv?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 2935*w**2 - 63*w - 46. Let s be n(63). Round s to the nearest 100000.\nAnswer: 11600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h**2. Let b(k) = 178*k. Give f(b(x)).\nAnswer: -31684*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(832) - (-5 + sqrt(832) + sqrt(832) + 3))**2 - (sqrt(832) - (sqrt(832) + -5)*-5)**2) + 1.\nAnswer: -29740 + 2368*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/((-5)\/19) + (-293)\/(-1465)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -22.85 rounded to 1 dp?\nAnswer: -22.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 93, 705, 2371, 5619, 10977, 18973, 30135?\n\"Answer: 88*c**3 - c**2 - c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/1)\/(2\/(-220) - (-10)\/100).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -564*a**2 + 16*a + 514*a**2 + 1000*a**4 - 2309*a**2 - 16*a wrt a.\nAnswer: 24000*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 + 1001122?\nAnswer: 1001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**2. Let h(r) = -3*r**2. Let i(o) = h(o) + 4*z(o). Let b(y) be the first derivative of -2*y + 1 + 2*y + 1 + y**2. Calculate i(b(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -a. Let s(y) = -85*y**2 + 5*y**2 - 38*y**2 + 5*y**2. Determine s(o(h)).\nAnswer: -113*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-1\/26)*g)\/(g*g*g**13)*(g*(g\/g**(-4\/9))\/g*g)\/(g*g**(-16)\/g) assuming g is positive.\nAnswer: g**(1031\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -5*a. Let z = 5 + -4. Suppose -4*r - 97 = 4*v - r, 3*v + 70 = -5*r. Let q be v\/5*(z - 0). Let t(l) = -6*l. Give q*x(m) + 4*t(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the first derivative of -345*w**4\/2 - 2*w**3\/3 + w**2 - w + 1. Let z be s(1). Let t = 7491 + z. Round t to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 441749.\nAnswer: 7, 11, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t**5 + 0*t**5 + t**5 + (-t**4 + 3*t**2 - 3*t**2)*(t - 2*t + 3*t) + 3*t**5 - 5*t**5 + 11*t**5.\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 95854100?\nAnswer: 2, 5, 958541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 257239 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -24994*d**5 + 2*d**3 - 18852*d**2 - 4*d - 1?\nAnswer: -1499640*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 + 100101010110011100?\nAnswer: 100101010110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 513320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 41 + -34?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 191014011.\nAnswer: 3, 19, 23, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4797, 4752, 4669, 4542, 4365, 4132, 3837?\nAnswer: 3474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4.5 - 0.5. Let l = -0.3 - -0.4. What is the closest to 2\/3 in 3\/5, l, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-2)*(-10)\/(-11)*(4835 - 4834)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -436*z**2 + 868*z**2 - 433*z**2. Let y(d) = -976*d. Calculate r(y(i)).\nAnswer: -952576*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -28 in -5, -1\/4, 1\/6, -169\/5?\nAnswer: -169\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i**2 - 7*i + 2. Determine o(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-7 + (-74)\/(-10))*(-7 + (-1048)\/(-144))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (4\/((-24)\/(-162)) - 8) + -7. Solve f*n - 33 + 21 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = 4*h - 20 - 13, 36 = 4*p + 4*h. Solve 2*u = -2, -4 = -p*x - 4*u - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 33 and 6339344?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 966, 1041, 1116, 1191, 1266?\n\"Answer: 75*p + 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -323531, -323672, -323813, -323954, -324095, -324236?\n\"Answer: -141*o - 323390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 10\/11 at least -7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 338686?\nAnswer: 2, 169343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*t - 1 + 1)*(0 - 3 + 2) - 4*t + t + t - 30477*t + 67637*t + 19326*t to v + n*t and give n.\nAnswer: 56482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yzyy when four letters picked without replacement from uyyyyyuyuuyuzyu.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 515235 (base 6) to base 7.\nAnswer: 231362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u + 1 + 7. List the prime factors of (15\/6)\/(u\/24).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -67 + 68. Sort c, 2, 3, -4 in increasing order.\nAnswer: -4, c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) -4 (b) -1\/7 (c) 0.9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -3*q + 6, 4 = -2*q - 3*k - 3. Let c(s) = -5 + 8 - 2. Let x(z) = z**2 + 4*z + 4. Let g(o) = q*x(o) - c(o). Factor g(v).\nAnswer: (v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 333 and 592?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -255, 132, 767, 1644, 2757, 4100, 5667?\n\"Answer: -p**3 + 130*p**2 + 4*p - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 24163, -791 in descending order.\nAnswer: 24163, -1, -791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1364 - 7*x + 751 + 613.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from msmmsm. What is prob of sequence mm?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0005137 to six decimal places.\nAnswer: 0.000514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17386*b**2 - 12277*b**2 - 5107*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*o = -5*h + 47, -38*o + 63*o - 28*o + 19 = -2*h for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c - 4. Let n be f(-7). Determine u, given that -2 + 2 - 4*u**n + 12*u**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -6037 and -0.2.\nAnswer: 1207.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 180684*n - 15589*n + 88849*n.\nAnswer: 253944*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(2*(sqrt(1700) + -1 + sqrt(1700))*-2 + -5))**2.\nAnswer: 5760*sqrt(17) + 3916836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 873399263 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be -4*(-4 + 21\/6). Suppose 0 = 34*h - 35*h + a. What is the biggest value in h, -4, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -18*m + m**2 + 36*m - 20*m**3 - 16*m as k*m**3 + c*m**2 + z*m + b and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 0*p + p - 6 + 2*p + 0. What is the smallest common multiple of 6 and a(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 29 = 5*i, 4*i + 68 - 78 = -5*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be -5 - -5 - 6\/(-2). Solve m = i*m - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-2\/7))**(-35)*(s*s*s**(-2\/17))\/((s**(-1)\/s*s)\/s) assuming s is positive.\nAnswer: s**(236\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -136320*y + 136317*y = -n - 27, -4*n + 52 = 8*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(1\/3))**(-2\/79)\/((w\/((w\/w**(-4\/9)*w*w)\/w*w)*w)\/w**(1\/2))*(w**2\/w)**(-2\/11)\/(w*w\/(w\/((w*w\/(w**0\/w))\/w)*w))**(-2\/45) assuming w is positive.\nAnswer: w**(48049\/26070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 2 b when four letters picked without replacement from wwwwbwwbwbwbww?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, -0.2, -2.3, -12.6 in increasing order.\nAnswer: -12.6, -2.3, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 82 = 52. Solve 0 = -3*f - f + s + i, f = -2*s + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**3 + h - 9. Suppose -3*l + 3*t - 36 = l, -4 = -t. What is the tens digit of n(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*d**3 + 4*d**3 + 0*d**3)*(0 - 3*d + 1 - d) + 6*d**2 - 6*d**2 + 9*d**4.\nAnswer: 13*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j + j = 0. Suppose 5*o = -j*o. Suppose -9 = -q - s, -2*s - 3*s + 10 = o. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*t**3 + 3*t + 33*t**3 - 15*t**3 - 75 to the form m*t**3 + b + o*t**2 + z*t and give b.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84725 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 116\/3 + -38. Let d be (95\/25)\/((-4)\/(-20)). Let g = 17 - d. What is the nearest to 1 in h, g, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 18006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21\/((-1008)\/(-32))*((-6)\/(-6))\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 12816 + -12756. Let r(b) = 3*b**2 - 3. Let a be r(-9). What is the highest common divisor of h and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 117 is divided by 45.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4aa8 + 2?\nAnswer: 4aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 3*q - 3 + 2 + 2 + 2*q. Is i(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 27\/5 in -1\/585, -10, -2.7?\nAnswer: -1\/585","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -23111\/3 + 205803449\/26715. Let g = r - -28853\/3562. Calculate the common denominator of 41\/11 and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*v + 3*n = -14*v - 2, 2 = n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -322132 (base 5) in base 16?\nAnswer: -2aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -158*y + 266*y**5 + 158*y + 8*y**5 + y**5 - y**5 - y**5 - 2*y**5 + y**5 + (-2*y**3 + 3*y**3 + 0*y**3)*(y - 2*y**2 - y).\nAnswer: 270*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the third derivative of -p**4\/8 + 53*p**3\/6 + 27*p**2. Let t be c(15). Suppose 0 = 3*s - t*s + 65. Solve -s = -0*k + k + 2*j, -2*j = 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -30 - -15 - (-7 + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify n\/((n\/(n\/n**(-4))*n)\/n)*n\/(n\/(n*n**(-1\/12)*n))*(n*n**1)**(-6\/17) assuming n is positive.\nAnswer: n**(1267\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -180 or -193?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -1511*n**2. Let u(o) = 248*o**2. Give u(b(d)).\nAnswer: 566214008*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 193 + -193. Let x(b) be the second derivative of 3\/2*b**2 - 9*b + 3\/5*b**5 + 0*b**3 + i + 0*b**4. Differentiate x(h) with respect to h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 4*s - 13. Suppose -3*a + 284 = -0*a - s*j, 3*j - 387 = -4*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 61, 3, 1\/8 in increasing order.\nAnswer: 1\/8, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 447874962 divided by -3\nAnswer: -149291654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-10)\/15 - 88\/3. Let k = j + 24. Let u(b) = -3*b - 4. Determine u(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 75297319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/1 - (-18966)\/4743. Let x = -8259\/2108 - b. Find the common denominator of -29\/20 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 4831, 1\/5, 1\/4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes after 9:57 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 55636615.\nAnswer: 5, 11127323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 590 = -8*t + 108*t - 510. What is the remainder when 337 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 2 and -876.\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20 - 2) + 12 - -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the first derivative of x**3\/3 - 4*x**2 + 10*x + 4. Let z be o(7). Suppose -z*w - 3 = -9. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 149760 and 11860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69*m + 2885 = 5*b - 64*m, -3*m + 1157 = 2*b. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 4*o + 21 = 0, -2*h + 22 = -3*o + 5. Let i(v) = 6 + 4*v - h + 3*v**2 - v**3 - 1 + 0. Let k be i(4). Solve -k = -2*r + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -60 + 29. Let x = i - -20. Which is smaller: x or -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -206 + 211. Sort i, -0.1, -1.7.\nAnswer: -1.7, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3179 + -12361. Let d = b - -5432. Round d to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-35))\/(190\/665)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**2 - 2*d. Suppose 5*u = -g + 13, 2*g + 5*u = -2*g + 7. Let h be w(g). Suppose 6 = 2*i - p, 6*i - 3*p = 2*i + 10. Sort i, h, 1 in ascending order.\nAnswer: h, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2 and 1084784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 41 divided by -35145.\nAnswer: -41\/35145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**3 - 6*h**2 - 7*h - 8. Let j(u) = -2*u**2 - 7*u + 37. Let d be j(-6). Give v(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1284421728.8 rounded to the nearest one million?\nAnswer: -1284000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:32 AM and 11:17 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2615080*h**2*y**2 - 7482*h*y**2 - h*y - 7*y + 2 wrt h.\nAnswer: 5230160*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 417506 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = 784 + -784.0751. What is g rounded to three decimal places?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the second derivative of 49\/6*p**4 + 5*p + 0*p**3 + 7 + 45*p**2. Find the first derivative of j(h) wrt h.\nAnswer: 196*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i**3 + 15*i**2 + 12*i - 18. Let q be k(-14). Calculate the greatest common divisor of q and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 127074 a multiple of 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - f = 118485, 98*s + 47394 = 100*s - 5*f. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {j: 1, o: 4, p: 2, k: 3}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*u - 19706680 = -3326680. Round u to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -38, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -6*i**2 - 3*i**2 + 0*i**2 - 4*i**2. Let h(b) = -7*b. Give o(h(v)).\nAnswer: -637*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k**2 + 7*k**2 - 3 - 10*k + k - 2*k = 0. What is k?\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3511.82 to the nearest ten.\nAnswer: -3510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*i + 8*i - 5 = -2*w, 2*w = i - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(32)\/(sqrt(648) - (-2*sqrt(648) + sqrt(648) - sqrt(648))))\/(-2*sqrt(162)*6 + sqrt(162)).\nAnswer: -sqrt(2)\/2673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 157\/2? (a) 156\/25 (b) 0.3 (c) 2\/13 (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of 4 and 49.61.\nAnswer: 198.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be 21*1\/((-3)\/(-5)). Let f = -29 + p. Suppose -30 = c - f*c + 3*i, 31 = 2*c - 5*i. Is 8\/3 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 26955*-11222\nAnswer: -302489010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 0, -953, 22, -0.2, 2, -3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l*l\/l**(-5)))\/(l**(-1\/12)\/l)*l**(1\/10)\/l*((l**(-1\/2)*l)\/l)\/l assuming l is positive.\nAnswer: l**(-439\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the first derivative of h**2 - 1734. Let p(d) = 75*d - 25. Calculate p(t(u)).\nAnswer: 150*u - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/2*14)\/(5688\/(-3792))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -i = 4*w - 19, -283833*i + 283838*i = -8*w + 3*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 2 = 0, 5*w - 663 = 4*f + 10. Let h = 30 + w. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 152ab + 5?\nAnswer: 152b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 3, 14, 27, 36, 35, 18?\n\"Answer: -i**3 + 7*i**2 - 3*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -462*b + 8 = -250*b - 210*b, 6*b = -k + 26 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 21, 38, 53, 66, 77?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-14)\/(-1) - (8 - 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4281\/19283 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i*i**2)*i)**(-39)\/(i**(2\/9)\/i)**46 assuming i is positive.\nAnswer: i**(673\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 - (0 - (-4 + 2)) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 12*w + 2. Let m be b(5). Suppose -5*g + 0*y + m = y, -3*y = 9. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 2*d + 608 = 0, 101 = i + 5*d + 1. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11212212 - -12?\nAnswer: 11220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18711849.\nAnswer: 3, 13, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does -2 = -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -79 + -3?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 387 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be -11 + (-1)\/(-2)*0. Let h(v) = 1036*v**2 + 2 - 8 + 9*v - 1046*v**2 - v**3. Calculate the remainder when 29 is divided by h(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 22010 (base 3) to base 2.\nAnswer: 11011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.03052 - -0.00052. Put s, -33, 0.4 in decreasing order.\nAnswer: 0.4, s, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 368 - -2440. Let b = 107773\/14 - 7692. Calculate the common denominator of 2\/13 - 47700\/c and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -3*p + 29, -p + 14 = -d + p. Let y = d + 27. Calculate the smallest common multiple of (-24)\/4*(-5)\/2 and y.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*((w*w**(-7)*w)\/w)\/w)\/w)\/(w\/w**(-2\/17)))\/(w**(-1\/5)\/w)**10 assuming w is positive.\nAnswer: w**(66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/(27 + -3) - (-532)\/24. Let g(n) = -2*n + 42. Let u be g(x). What is the fourth biggest value in -2\/7, -59, -0.5, u?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p**2 - p. Let i be -1 - (-1)\/1*3. Let x(s) = 3*s**2 + 14*s. Let c(v) = i*x(v) + 18*o(v). What is the second derivative of c(b) wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 203209 is divided by 2478?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 1 - 19.2\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 469 divide 1723106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 73601582 - -3?\nAnswer: 73601585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 41293163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f**3 + f**2 - 3. Let g be l(0). Put 10, 0, g in descending order.\nAnswer: 10, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:11 AM and 5:04 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 263701, -3\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3185 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-2\/31)\/n*n*n*n*n*(n*n**2\/n)\/n*n*n)\/(n*n**(-3))**(1\/16) assuming n is positive.\nAnswer: n**(1503\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -156*c. Let t(d) be the first derivative of -d**2 - 6. Determine t(p(u)).\nAnswer: 312*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 = 2*k - 19. Suppose -26 = 2*g + i + 6, -5*i + 110 = -5*g. Let a = k - g. Solve -3*n = -a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -308*d**5 + 863116*d**4 - 602225552*d**3 - 3447347952*d**2 + 1167094656*d - 94618368 = 0. What is d?\nAnswer: -6, 1\/7, 2\/11, 1404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41624 + 295372 = 22*f. What are the prime factors of f?\nAnswer: 2, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -12.213063 + 11.57337223. Let m = 14.36030853 - v. Let w = m + -15. Round w to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -4*(3*((sqrt(143) - (sqrt(143) - -2*sqrt(143) - sqrt(143)) - sqrt(143))*-2 + sqrt(143) - sqrt(143))\/(-2*sqrt(275) + sqrt(275)))**2.\nAnswer: -7463\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 131510 or 2258?\nAnswer: 131510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the second derivative of 0 + 0*a**3 + 0*a**2 + 1\/5*a**5 - 3\/10*a**4 - 29*a - 1\/75*a**6. Determine l so that u(l) = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*h = 43*h + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 77*l - 16 = -81*l, 3*l = f + 16. Suppose 2*k - 8 = -2*k. Which is bigger: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3007321720?\nAnswer: 2, 5, 13, 179, 32309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 2*y - 52. Let u be n(18). Let r(p) = -p**3 + 3*p**2 + p + 35. Let c be r(5). Does c = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1146 and 648.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 248.6094 meters in nanometers?\nAnswer: 248609400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 26 - 26. Let c(t) be the third derivative of 0*t**4 + 0*t**3 + 0*t + 1\/40*t**6 + 1\/15*t**5 - 2*t**2 + x. What is the third derivative of c(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes before 6:06 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*f + 7 = 17*f - 20. Let n(v) = -v + 1. Let k be n(-1). Solve u + f = -k*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -268, -687, -1106, -1525, -1944, -2363?\nAnswer: -2782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 1459*r - 2906. What are the prime factors of c(12)?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q + 1. Suppose -4*z + 8 = -8*z. Calculate y(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 18, v: 1}. Give prob of sequence ev.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = -11*u + 13*u. What is the third smallest value in 4, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 9) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, d: 3, o: 2, j: 1, t: 2, s: 3}. What is prob of picking 1 o, 1 t, and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o - 3*o + 24. Let m = o - 12. Suppose 0 = -5*h + 2*v + 50004, -5*v + m*v - 10 = 0. Round h to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000034961 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 83 + 22 = 0. What is the highest common divisor of 42 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 461691938.\nAnswer: 2, 103, 229, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1377330 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 68*y + 2*y**3 + 12 + 72*y + 1 - 8*y**2 - 138*y as b*y**3 + h*y**2 + a*y + t and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 31\/75 - 2\/25. Which is the nearest to 2\/7? (a) -3 (b) r (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-5)*-1 - (-264)\/(-920)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -16175 at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -0.203 * -0.115\nAnswer: 0.023345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -514778*z - 809317.\nAnswer: -514778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 195238 + -94407. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -50*d**4 + 271636*d**3 - 2*d - 221953375?\nAnswer: -200*d**3 + 814908*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -105, -98, 49, 336, 763?\n\"Answer: 70*y**2 - 203*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1588?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/50 of a meter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-8))\/(-4 - (-45)\/20)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = o + 3*o. Let n(q) be the first derivative of q**3\/3 + q**2\/2 + 1. List the prime factors of n(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**2 - 25*z - 2. Let p be v(-6). Suppose -p = -4*x + 112. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -2*w**2 + 9*w - 8. Let z be b(6). Let m = -23 - z. Suppose -l = 2*n - 9 - 8, 0 = m*l - 4*n - 71. What is the least common multiple of l and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -236*((-774)\/24)\/(-129)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19050689 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.26 less than -259?\nAnswer: -259.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oouooooouou. What is prob of sequence ou?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -t - 3*f, 6*t + f = 4*t + 9. Let d be 0 + 6 + (-2 - 0). Is 6\/d*844\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**3 - 8*t**2 - 7*t + 3. Let c be y(-7). Solve -22 = -5*h + c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3348 + -3312. Solve 368*t + s = 362*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkgkkgkgkggk?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-3)*(-6)\/4. Suppose -o = -4*o + 6. Suppose -v + o*v = x. Calculate the lowest common multiple of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the first derivative of -5*p**2\/2 - 9*p + 36. Calculate h(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2096.6 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (a + 2*a**3 - a)*(-3 + 1 - 6)*(-2 - 2 + 2)*(6 - 1 - 1)*(-10*a + 5*a - 14*a)*(2 - 3 + 2) as i + z*a + b*a**3 + v*a**4 + f*a**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-167)\/(-20)*1\/(-1). Let s = -48\/5 - x. Which is the nearest to -2\/7? (a) -5 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -24\/1187 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/8*(-308)\/(-66)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-232)\/45472)\/(3\/8)?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Work out -11 * 148.\nAnswer: -1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.284, -2\/23, 2, 0.2.\nAnswer: -0.284, -2\/23, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {p: 1, n: 2, g: 1, i: 4, t: 8}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 285 - 86. Let a = 124 + i. Suppose -w + a = -240. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the first derivative of 5*k**3 - 5*k - 8. What is the first derivative of o(b) wrt b?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (-1 + -2 + -2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the third derivative of 5*q + 0 + 2\/21*q**4 + 1\/420*q**6 + 0*q**3 - 1\/35*q**5 - 4*q**2. Factor v(x).\nAnswer: 2*x*(x - 4)*(x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the second derivative of -p**5\/20 - p**4\/12 + 2*p**3\/3 - p**2\/2 + 2*p - 54. Let d(m) = -m + 8. Let g be d(11). Calculate u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 49 - 38. Let x be (w\/(-44))\/(4 + -3). Let h = 2\/13 + -17\/26. Which is the closest to 2? (a) x (b) 2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(-1 + sqrt(75)) + 2 + 1 + sqrt(75) + -2*(1 + sqrt(75) + -3)*3)*-2)**2.\nAnswer: -4760*sqrt(3) + 15856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**3 + 2 + b - 4*b + 4*b. Let j be w(0). Suppose -t + 11 + j = 0. Calculate the greatest common divisor of 52 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify x*x**(1\/10)*x*x\/x**(6\/5)*(x**(-2\/7)\/x)\/((x\/(x\/(x*x*x**5*x)))\/x) assuming x is positive.\nAnswer: x**(-447\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 0 - 2)*(129*j + 18 + 142*j - 263*j).\nAnswer: 32*j + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.0138 + -1004.0138. Let r = -1003.999998883 - c. What is r rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbnnbbbbnznbb. What is prob of picking 4 n?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9381261?\nAnswer: 3, 3127087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + 6 + 4 + -9 + 5 + 1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 824 divide 2840259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3737550 or 3737551?\nAnswer: 3737551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 24*a**2 + 2*a*m - 6*a - 82*m - 3 with respect to a.\nAnswer: 48*a + 2*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 0.06 + -86638363759\nAnswer: -86638363758.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = -5*l - 5*o, 0 = 5*o + 2 + 8. Is 6 a factor of (-12)\/(0 - l\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 55307 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.09507 times 1243?\nAnswer: 118.17201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 2*s + 3*p - 23 = 0, -12 = 2*s - 4*p. Let i be (-1)\/s + 147\/(-28). Let t(l) = -9*l + 0*l - 4 - 3*l**2 + 2*l**2. What is t(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -346 divided by 7?\nAnswer: -346\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1001323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2102, 4132, 6146, 8138, 10102, 12032, 13922, 15766?\n\"Answer: -i**3 - 2*i**2 + 2043*i + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -y**5\/2 - 627*y**4\/2 - 5471*y**3 + 6099*y**2 + 10943*y\/2 - 11571\/2 = 0.\nAnswer: -609, -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -25 - (-33 + -38 + 32 + 39).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/(-6) - (-60)\/(-45). Let i be (b + -98)\/(-5) + 2. Calculate the greatest common factor of i and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1988582938 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*t - 8381348 = 26602881. Let u = 18217747 - t. What is u rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:49 PM and 10:33 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -u**4 + 1 - 18037*u + 18033*u + u**2 + 60 as c + f*u**2 + l*u + t*u**3 + x*u**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 280*b + 274*b - 822*b + 271*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q. Let m(h) = -15 + 11 - 34*h + 3. Determine m(j(k)).\nAnswer: -34*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 635 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-10)\/(-5) + 11 + -1. Let x = 61\/5 - t. What is the smallest value in -1, -3\/2, x?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 313 + -233?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -159\/2 in -1\/10, 0.4, -20, 11\/9?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be -3 - -7 - 3 - 0 - 1. Suppose -5*k + 169 - 14 = l. Calculate the greatest common factor of 217 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 722 - 719. Let i(q) = 4*q**2 - 12*q + 7. Determine i(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = -16*j + 25 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -879 by -293.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -276 * 2\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -1950*z + 577. What is the remainder when p(0) is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3 + 0 + 77*g**4 - 100*g**4 - 5 wrt g?\nAnswer: -92*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in 112226926188*x**2\/7 + 66147588*x\/7 + 9747\/7 = 0?\nAnswer: -57\/193414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-20)\/(-225) - 40\/45\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/1494*767 + -1. Let o = -29626523833352\/8217 - -3605515857. Let w = o - d. Find the common denominator of 11\/10 and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-71 - (-190 - -86)) + -13 + 0\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:29 AM and 5:45 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4.568695 nanograms in tonnes?\nAnswer: 0.000000000000004568695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 + -9. Let y = 0 - n. Suppose -3*d + 2 - 8 = 3*a, -4*d + 3*a - 29 = 0. Put d, y, 1 in ascending order.\nAnswer: d, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*r + 107 - 95 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -110 + 105. Let p(a) = -a - 5. Let u(g) = 1. Let b = 19 + -20. Calculate b*p(j) + l*u(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 8, b: 2, m: 5, c: 2, y: 2}. Give prob of sequence mcy.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -6979115, -13958232, -20937349, -27916466, -34895583, -41874700?\n\"Answer: -6979117*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/10 - 424\/20. Let t = y + 82. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g - 12. Let u be c(-12). Suppose u = -10*x + 21 + 29. Suppose 155 = 3*v + x*t, 2*v = v + 4*t + 63. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (5\/(-180)*4)\/1\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -1820*k**2. Let u(p) = 9641*p. What is u(n(h))?\nAnswer: -17546620*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -88*x - 136*x - 34*x + 38*x in the form i + k*x and give k.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s**3 + 10*s**2 + 11*s + 8. Let i be h(11). Let x be (-4)\/(-6)*9 + -3. Suppose i = -x*w + w. Is -4 not equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 244*l = 202*l - 1580*l - 56770 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -29\/1166 - -2477\/5830. Factor -18\/5 + a*z**3 + 2\/5*z**2 - 18\/5*z.\nAnswer: 2*(z - 3)*(z + 1)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1434.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 62.4, 5\/2, -15\/2?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the first derivative of 2*r**3\/3 + 5*r**2\/2 + r + 1. Suppose 4*f = 3*f - 4. Let k(o) = o**2 + 4*o + 1. Calculate f*k(v) + 3*n(v).\nAnswer: 2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -14 + 42. What is the smallest common multiple of h - (3 + -9)\/(-3) and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 137*j**3 + 5*j - 9. Let d(p) = -206*p**3 - 7*p + 13. Determine 7*c(r) + 5*d(r).\nAnswer: -71*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g, 2 u, and 1 q when four letters picked without replacement from ggvuvtvvqugstq.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -13417, -15898, -20035, -25828, -33277, -42382?\n\"Answer: -828*b**2 + 3*b - 12592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 7, s: 3, k: 2, b: 2, d: 3, o: 1}. Give prob of sequence vdvk.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 - 5*f**2 + 7*f - 5. Suppose -5*k + 4*y = 79, -3*k - 50 + 10 = 5*y. Let u be 42\/10 + 3\/k. Suppose 2*l - u = l. Give o(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -424953 by 8.\nAnswer: -424953\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 4625523 less than 0.10237?\nAnswer: -4625522.89763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -199 = 9*s - 577. Let z(w) = 8*w - 280. What is the remainder when z(s) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.5 + 1.76. Let h = t + 1.54. Let a = 1.83 - h. Which is smaller: a or 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 1042b7 (base 13) to base 8\nAnswer: 1347231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 21\/5 of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - 18 - -5) + -1 + 12 + (-40 - -23).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -222\/5 + 11342\/255. Which is the biggest value? (a) 1\/6 (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 92047303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1773, 1819, 1865, 1911, 1957, 2003?\n\"Answer: 46*j + 1727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 18 = -0*v - 3*j, 0 = -2*v - 3*j + 12. Suppose -2*i + 6 = 4*u, 2*i + v*u = 5*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -85.59 times 8.7\nAnswer: -744.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 20248.\nAnswer: 5\/20248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -198 + 160. Suppose -2*x + 5*u = 18, -4*u = -x + 4 - v. Let m(c) = 2*c + c + 1 - 5*c. Give m(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -198*t - 9673. Determine j(-49).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 134137, 134130, 134119, 134104, 134085?\n\"Answer: -2*u**2 - u + 134140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 144 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**2 - 28*w - 49. Let o be t(29). Is o at least as big as -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 38*s**3 - 2*s. Suppose 3*c = -0*i + 2*i - 24, 0 = 4*c + 16. Suppose -5*u - 2 = -i*u. Let p be b(u). What is p rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 + 9 + -8 + (8 - 22) + -78.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -55543437*n. Let w(t) = 2*t**2. Give w(s(k)).\nAnswer: 6170146787545938*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3148358225 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of -45 and 105.\nAnswer: -4725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - -3. Let u be 2 + ((-198)\/51)\/t. Let o = u + 14\/51. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(54)\/(sqrt(4)\/sqrt(2)))\/(sqrt(9) + (sqrt(36) - (sqrt(108)\/sqrt(3) - sqrt(36)) - sqrt(9))))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 - -1. Is (-59)\/(-1 + 0\/u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 216478, 433326, 650174?\n\"Answer: 216848*a - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from nnnomolnu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 116280711?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 533888, 120, -0.6?\nAnswer: 533888","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -53571.16121 - 1.61.\nAnswer: -53572.77121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -13*t**2. Let b(g) = -123*g. What is b(y(n))?\nAnswer: 1599*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 8, -1, -5, -0.3, -551, 1152, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2172*c**3 + 152*c**2 - 12554*c?\nAnswer: -13032*c + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 17489, -4 in increasing order.\nAnswer: -4, 2, 17489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -23*l**4 + 954*l**2 - 9*l**3 + 154*l**5 + 9*l**3 + 23*l**4 - 2*l**3 wrt l.\nAnswer: 9240*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.2, 3861, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1541*s**2 - 3*s + 3*s.\nAnswer: -1541*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -95*o**2 + 19*o**2 - 210*o**2 - 101*o**2.\nAnswer: -387*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.09620036 - -10153.07820036. Let k = 10144 - v. Let s = 9 + k. Round s to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -51912 + 103841\/2. Let a(y) = -2*y**2 + 4*y + 1. Let o be a(3). Calculate the common denominator of r and (-2)\/o - (-1473)\/30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = 3*w - 0*s - 49, -5*w + s = -84. What is the biggest value in 4\/5, w, 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 5345 - -0.5\nAnswer: 5345.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 58 and 88859422?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.195373, -1.2, 26?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -4*z - f + 4, -z - f = 0. Put 1, 3, -4, z in decreasing order.\nAnswer: 3, 1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 5*w**3 + 9*w**2 - 182*w - 137. What is the hundreds digit of q(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 20 + -25. Let f = -883 - -527. What are the prime factors of f\/u - 8\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 5 = w, 4*z = -0*z - 2*w - 14. Let o be 8 + (-1 + -1)*z. Let c be -15 + o + 250\/82. Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m = -4*z + 13, -5031*m + 5032*m = -4*z + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -3*i**2 - 4*i + 488. Let r = 559 + -559. Is h(r) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -3*f + 1621, 0 = -2*f + 3*f + 2*c - 557. List the prime factors of f.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 + 8 = -4*u. Suppose 4*l + 125 = 45. Let j be (-1)\/4 - 85\/l. Solve -6*r + r + 17 = j*m, 2*r = u*m - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 196.39 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*z = -12*z - 256. Let m be (359 + -1)*(-3)\/3. Let l = z - m. Calculate the remainder when l is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 112001 (base 3) to base 10\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -9*i**2 + 7*i - 7. Let n(z) = -13*z**2 + z - 1. Let s(d) = -7*d**2. Let g(b) = 3*n(b) - 5*s(b). What is -14*g(o) + 6*m(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2\/187 (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x + 4*a = -96 + 95, 4 = 2*a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 626221781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 110309653?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 44*p + 9 + 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 5*d + 4*c, 2*d + 4*c = c - 1. Let w(s) = 12*s**2 + 15. Let p(y) = -y**2 - 1. Give d*w(j) + 15*p(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*s**2 - 2*s**2 + 4*s**2 - s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -14 - 24*253\/(-184)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-4))**(2\/23)\/(z\/(z\/((z*z\/z**(2\/3))\/z*z))*z*z**(-3\/7)\/z))**(26\/3) assuming z is positive.\nAnswer: z**(-15730\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the second derivative of -l**5\/20 + l**4 + 17*l**3\/6 - 49*l**2\/2 - 90*l. Let k be y(13). Solve 0 = z + 3*d - 6*d - k, 4*z = -2*d + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 1\/6540843?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-20)\/15)\/(1\/(-3)). Let b = 9 - z. Solve -2*d - 1 = -b*k + 2*k, d - 6 = -5*k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1581687 and 162081.\nAnswer: 5589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 1803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -29, -54, -101, -176, -285, -434, -629, -876?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 137*t**2 + 48 + 48 - 94 in the form h + g*t + v*t**2 and give v.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify u*u**(3\/5)*u*(u**(3\/8)\/u)\/u*u assuming u is positive.\nAnswer: u**(79\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5 in -0.02, -1\/3, 3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 divided by -140.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (3699\/45)\/((-2)\/(-20)).\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 0.1, 5, 3.18, -30, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/3, -15, 2, 0.04 in descending order.\nAnswer: 2, 0.04, -1\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**2 + 57*g + 69. What is t(-60)?\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 481422\/27398 - 6\/(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the second derivative of w**6\/10 + 6*w**5\/25 + w**4\/20 - w**3\/5 + 2*w. Factor b(m).\nAnswer: 3*m*(m + 1)**2*(5*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2102*q**4 - 8385*q**4 - 1521*q**2 + 5224*q**2 + 4618*q**2 - 3583*q**4 wrt q?\nAnswer: -236784*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1420)\/40 - -33)*(-9)\/(-135)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50455*d + 10874 - 10874.\nAnswer: 50455*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -0.012442608 + -38.1\nAnswer: -38.112442608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2814 and 1793322?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -41*n. Let k(o) = 32*o**2. Calculate h(k(c)).\nAnswer: -1312*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 131.4 + -145. Round w to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1696694627 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4082325 and 3265860.\nAnswer: 16329300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 0 = -4. Let k be (u - 20\/(-7))\/(-2). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qaq when three letters picked without replacement from {q: 2, a: 1, l: 4, e: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {e: 1, t: 1, u: 2, b: 2, s: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/114 and 43\/290.\nAnswer: 16530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 48819 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 541, 1004, 1467?\n\"Answer: 463*k + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2755266745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 101101 (base 2) to base 3.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 24 = 2*s + 5*h, -3*s - 54 = -3*h. Let d = s + 28. Sort -0.2, -4, d in descending order.\nAnswer: d, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 2*f + 12. Let j be -2*7\/(-21)*(0 + -3). What is s(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9.1166565 rounded to 1 decimal place?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Do -2\/3 and 0.758 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*b = -279*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**2 + 5*q - 2. Let m be p(3). Suppose 0 = a - 25 + 5. Suppose -2*y - m*n = -10, y - 5*y = 3*n - a. Solve 4*u = y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -88 divided by 84.\nAnswer: -22\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/z**(2\/13)*z*z**(7\/2)\/z)**47)**49)**(-26) assuming z is positive.\nAnswer: z**(-260239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 140 = 3*s - 369, 2*s = k + 131. Calculate the lowest common multiple of 22 and s.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (a - 3 + 3)*(-901*a**2 + 771*a**2 + 872*a**2)*(-7*a + 6*a - 9*a).\nAnswer: -7420*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 324, 1\/3, 0.2, 2\/5, -0.01?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -44951 - 29\nAnswer: -44980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -958, -1, 4, -1\/2, -0.1 in increasing order.\nAnswer: -958, -1, -1\/2, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = -122 + 88. Let x be (-4)\/s + 32\/(-272). Is -2\/181 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -162 divided by 28\nAnswer: -81\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 66738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8893555 - 1082.\nAnswer: 8892473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 553 - 560. Let y(w) = -11*w - 2 + 14 + 16. Is y(v) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**3 + 6*q**2 + q - 9. Determine d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -662665 * -3\nAnswer: 1987995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -6*y + 13. Let j(c) = -14*c - 6. What is m(j(o))?\nAnswer: 84*o + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 5*v**2 - v - 1. Let h(b) = 19*b**2 - 3*b + 206. Let z(y) = -3*h(y) + 12*n(y). Factor z(o).\nAnswer: 3*(o - 15)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (266\/9)\/(-7) + 4. Suppose 5*o - 2 = 13. Let z = -0.2 + -0.3. Put z, o, v in descending order.\nAnswer: o, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -771 = 3*f - 3*d, -3*f + 2*d - 378 - 392 = 0. Let a = f + 563. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7 - -18. Suppose -4*f - 4*a + v = -3*f, 17 = -2*f + 5*a. Let g be 2*((-12)\/8 + 2). Put -4, f, g in descending order.\nAnswer: g, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -14, 8353\/16, 1\/100?\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4664782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/19 (c) -0.87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1304524*u**2 - 14*u + 1304523*u**2 + 14*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26725361?\nAnswer: 13, 569, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -2*j**2 + 5. Let i(f) = 2*f**2 - 5. Give -6*i(h) - 5*x(h).\nAnswer: -2*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.92 + 0.08. Let r = 3 - -1. Let f = 3.8 - r. Do f and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**2\/8 - 5*c\/4 + 39\/8.\nAnswer: -(c - 3)*(c + 13)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8 - -3*(-2)\/(-3). Suppose 15*d - 600 = l*d + f, 5*d = 2*f + 600. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 0.2, -4 in descending order.\nAnswer: 0.2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 5, 10, 1, 27, -12, -9 in decreasing order.\nAnswer: 27, 10, 5, 1, -2, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -19, -40, -75, -124, -187, -264, -355?\n\"Answer: -7*u**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/(-15)*(-5)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 295 + -291. Which is the biggest value? (a) -0.3 (b) -17\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5971*s = 2748*s + 139504 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -20763 by -9.\nAnswer: 2307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 399 (base 15) in base 5?\nAnswer: 11234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p - 1. Let h(q) = -q - 8. Determine h(d) - 3*z(d).\nAnswer: 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that 3*w**4\/4 + 4419*w**3\/4 + 567003*w**2\/4 - 4419*w\/4 - 283503\/2 = 0.\nAnswer: -1331, -142, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.388627 rounded to three decimal places?\nAnswer: 0.389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 11*l + 8 - l**3 - 18*l**2 - 13*l - 29*l + 2. Let c be b(-16). What is the smallest value in 0.05, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 52 a factor of 40520561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1273502 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the first derivative of -3*c**3 - 15*c**2\/2 - 6*c + 9. What is a in q(a) = 0?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3096742 is divided by 3437.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -2*z - 5. Let s be r(0). Let g be 10\/s - 64*-2. Calculate the greatest common factor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 69 - (22 + (126 - 101)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the third derivative of l**6\/120 + l**5\/6 - l**4\/24 - 7*l**3\/6 + 2*l**2. Let h be o(-10). Let u(t) = -t + 7. Give u(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/4 + (-34)\/4. Let t = f + 8. Let v = 5 + t. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -5*x**2 + 65*x + 17. Let p be d(13). Factor -5*k**3 + k**4 + 22*k - p*k - 81 - k**2 + 81.\nAnswer: k*(k - 5)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p - 3*h - 12 = 0, 4*h = -3*p - 3793 + 3777 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -11 + 23. Suppose 4*w = -0 + a. Solve 0 = -w*u - 2*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420\/(-42) - (3\/(-24) - 31\/8 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 400 = -4*w + 5*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, 2, 5, -1 in ascending order.\nAnswer: -21, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -15*v + 16*v, 9*v = -3*h + 72 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13.782 + -13.782018522. Round o to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -5*s - 1. Let c be -56 + 1*(-5 - -2). Let h = c - -57. What is p(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/6*2*78\/(-8)*13394\/6697?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.4578 times -0.5\nAnswer: 0.2289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + (18 - -1 - (-68 - -83)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = 2*f + 2*b + 10, -2*b = 8. Suppose 7*q = 6*q + f. Suppose -5*j + q*s - 37 = -137, 0 = 2*j - s - 37. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 1, -30, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0\/1 + 3 + 2. Suppose o = 4*y + y. Let t = y + 4. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the first derivative of -p + 1. Let t = 0 + 18. Let c(a) = -535350*a - 535355*a - 535354*a + 1606058*a - 10. Determine t*y(n) - 2*c(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3546510680?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 4027289, 4027288, 4027287, 4027286?\n\"Answer: -k + 4027290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**4\/4 + 3*p**3 + 29*p**2\/4 - 57*p + 65.\nAnswer: -(p - 13)*(p - 2)**2*(p + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 0, -3, -10, -21, -36, -55?\n\"Answer: -2*l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 293030?\nAnswer: 2, 5, 29303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -390? (a) 1 (b) 11 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9288 - 9268. What is the least common multiple of m and 884?\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22892 divided by -59?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2632 and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z. Let u(v) = 7*v. Let l(d) = u(d) - 4*y(d). Let j(q) = q. Calculate l(j(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the second derivative of c**4\/12 + 195*c**2 - c - 484. Let b(i) = -4*i. Calculate r(b(l)).\nAnswer: 16*l**2 + 390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 76*u - 5000. Calculate the remainder when 4845 is divided by q(66).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -3*y - 24 + 11, 2*j - 5*y = -11. Solve 4*t + 5 = -t + 5*o, t = 3*o + j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11940084067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1540, -4422, -9170, -15784?\n\"Answer: -933*j**2 - 83*j - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -12852 (base 15) to base 6\nAnswer: -1134152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 19, 2, 3, -39, -23, -1 in descending order.\nAnswer: 19, 3, 2, -1, -23, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4510 and 440.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = c + s, -2*s - 8 = 4*c - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, z: 8, t: 1}. Give prob of picking 1 k and 1 t.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put together -166897886 and 0.3.\nAnswer: -166897885.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes before 11:06 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -92 plus -0.0387155?\nAnswer: -92.0387155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1040 (b) 3\/52 (c) 0.3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 + 8 + 0 + 1. Let d(v) = v + 5. Let b be d(-3). Suppose w - 231 = -b*w. What is the highest common factor of f and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 3191, -28533 in decreasing order.\nAnswer: 3191, 0, -28533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -40 times 109?\nAnswer: -4360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4164 = -16*b + 16508. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 216175616 to the power of 1\/3, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 183.7225 kilograms in tonnes?\nAnswer: 0.1837225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 141331*l**4 + 869091*l**2?\nAnswer: 3391944*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -4*t - 3873 - 1746, -3*t - 5621 = -g. What are the prime factors of g?\nAnswer: 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12 - 10. Let s be 0\/(j + -3 + 2). Solve -24 = 4*y - 0*y + 4*x, 2*y + 3*x + 17 = s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 14215 = -4*f + 329, 5*f + 3*l - 18180 = 0. Is 0 + f - (2 + -3 + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 388605149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**3 - 33*j**2 + 13*j - 413. Give r(33).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54927.\nAnswer: 3, 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1\/8)\/(10\/(-155868)). Let v = -1946 - l. Let d = -332177 - -10629683\/32. Find the common denominator of d and v.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**3 + 8*t**2 - 3*t. Let h be s(-8). Suppose -2*c - 4*c = -h. Let w(l) = l - 3. Give w(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -70.9618 rounded to the nearest integer?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 87.9 + -8.9. Let i = -115554 + 115633.079. Let p = a - i. What is p rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -61300000 rounded to the nearest 1000000?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112) - (sqrt(112) + 0))*-2 + sqrt(112) + (sqrt(112) + 0 + -1)**2.\nAnswer: -4*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0684 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, 0, 12 in ascending order.\nAnswer: 0, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 6*(sqrt(117) + -2 - sqrt(117) - sqrt(117)).\nAnswer: -18*sqrt(13) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1 and 0.54?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3c43 (base 16) in base 8?\nAnswer: 36103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -560 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -21, -27, -39, -57, -81, -111?\n\"Answer: -3*s**2 + 3*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 23524*a**2*l**2 - a**2*l - 3*a**2 + 50*l wrt l.\nAnswer: 47048*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-7 - -9)\/((-4)\/2). Let g be 3\/d - (-6 + 3). Sort 1\/8, 2, g.\nAnswer: g, 1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4056908.469511503 + -3.739488497. Let j = -4056867.20900038 - v. Let n = -45 + j. What is n rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6 - 13138689*c**2 + 2*c + 13138689*c**2 - 4*c**4 - 2*c**3 to the form m*c**4 + f*c**2 + a*c**3 + g*c + j and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7613 - -7658.37. What is w rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -792, 1, -9 in descending order.\nAnswer: 1, -9, -792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.029490567 to five decimal places.\nAnswer: -0.02949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2, -1766 in decreasing order.\nAnswer: -1, -2, -1766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/9? (a) 1\/51 (b) -3\/5 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 434142 and 72?\nAnswer: 1736568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j - 150 = j. Suppose -2*y + j = 2*l - 23, 2*y - 33 = 3*l. Suppose 2*v + y = -237. Round v to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7440.986 millilitres in litres?\nAnswer: 7.440986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-20)\/(-150) - (-4)\/(-30). Suppose 5*a + 5*d + 15 = z, -3 = a - 2*d + 3. Let q(s) = s**2 + 6*s + 3. Let k be q(a). Let f(v) = v + 1. Determine f(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7\/7 - 2)\/((-2)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = t**3 - t + 95. Let r be f(0). Suppose -r = -5*n - 20. Which is greater: -3\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -628520 to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/(-6))\/((-9)\/9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -313\/6 + 52. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1425, 357, 3323, 7467, 12783, 19265, 26907?\nAnswer: 35703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 81, 161, 239, 315?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -61961494.25999576 - -61961497. Let u = a + -2.74. Round u to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from llhlhwhhhlh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = 4, -w + 71 = 3*f - 161. What is the remainder when f is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the first derivative of 5*a**4\/4 - 5*a**2\/2 - 20. Factor b(x).\nAnswer: 5*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.881 + -0.481. Let d = -0.2 - 0.3. Which is the nearest to d? (a) 1 (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 105817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 1 e when three letters picked without replacement from {k: 8, y: 2, e: 8}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**2 - 46*a + 1664. Let i be b(-68). Suppose 0 = 2*t - 36 - 12. What is the greatest common factor of t and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 18 - 26 = 0. Suppose -2*h = a*h. Suppose -2*n - 5*j - 16 = 0, -2*n + j + 0*j + 8 = 0. Solve 4*c + n + 6 = h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 86*r - 190*r + 6*r**3 + 104*r.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -2, -2237 in decreasing order.\nAnswer: 5, -2, -2237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 5*j**3 - 3*j - 1. Let m(l) = -4*l**3 + 4*l + 2. Let y(r) = -3*m(r) - 2*q(r). Suppose y(x) = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l + 56 + 40. Does 14 divide 516\/10 + l\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**3 + 56*m**2 - 5*m - 17. What is l(56)?\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let 135*d**2 - 484170*d + 1302336605\/3 = 0. Calculate d.\nAnswer: 16139\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 26293430 minus -4?\nAnswer: 26293434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:48 PM and 3:43 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 1, t: 1, m: 1, p: 2}. Give prob of sequence pma.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.8728 + -0.1224?\nAnswer: -0.9952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -26*r - 365. Determine v(-17).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -8*i**2 + 328*i - 22. Let h be u(41). Suppose 0 = 2*s + 114 - 406. Is 26 + h + s\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/4)\/((-341)\/(-31)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1596763 and 686.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u - 83*u - 1383*u**2 + 5*u**3 + 1413*u**2.\nAnswer: 5*u*(u - 2)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = 5*b + 5, -24*b + 26*b = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a**3 - a**2 + 2*a - 3. Let m be f(4). Let n = 77 + m. Solve n*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*o + 285 + 57 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10874.85 + 10875. What is the closest to 4 in 10, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -257\/4 + 1293\/20. Let c = -13 - -13.3. What is the third smallest value in -0.1, 6, c, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 93 = -4*a - s + 4*s, 2*a + 51 = -3*s. What is the units digit of (128\/a)\/((-2)\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 8 - 2) + -8 + (17 - -19 - 37).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 202*j**3 + 208*j**3 - 8431 + 223*j**3 + 8431 - 680*j**3.\nAnswer: -47*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 209\/2 - 3975\/38. Let j = 4.3 - -0.7. Let m = -3 + j. Which is the second biggest value? (a) m (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -31.31 - -0.31. Let c = m + 29. What is the second smallest value in c, -0.1, 9\/5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, 13, -4 in descending order.\nAnswer: 13, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 5 - (52 + (8 - 2) + -5 + (3 - 1))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 10*v + 16*v - 27*v. Let b(r) = 14*r - 1. What is -b(t) - 6*i(t)?\nAnswer: -8*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 91974661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-112)\/20)\/14)\/((-72)\/585)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 89504 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -767146 - -105442\nAnswer: -661704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:06 AM and 6:08 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 23709 divided by -3?\nAnswer: -7903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.515879 kilometers in meters?\nAnswer: 515.879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 7*f*y**3 - 5*f*y**2 + 4*f*y - 7*f - 23515*y**3 + 9*y**2 wrt y?\nAnswer: 42*f - 141090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1044 and 24?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of r**8\/6720 + r**6\/720 - r**5\/60 - 4*r**2. Let d(t) be the third derivative of l(t). Differentiate d(g) wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - q = 6, 0 = -2*b + 5*b - 3*q. Let d = 5 + b. Suppose -d*x = -0*x. Solve 2*n + 0*n + 6 = x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2784 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be (6\/(-5))\/((-3)\/10). What is the remainder when 50 is divided by (y - 5)\/((-2)\/34)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -51 in 0.0084, 2\/17, 2\/15, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 2*z**2. Let r be y(-1). Suppose -3*d - r*d = -40. Suppose 3*c = p - 5*p + 20, c - 5*p - 32 = 0. What is the highest common factor of d and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -6 (b) 20533 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -248 = 44*q - 13*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.028? (a) 4 (b) -2 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*k + 7 = 32*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 227359 to the nearest 1000.\nAnswer: 227000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 2*l**3 - 4*l**2 + 4*l + 1. Let x be j(4). What is the greatest common divisor of 54 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f + 7 - 1 = -3*y, -2*f = 4*y + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.17 (b) 4 (c) 0.2 (d) -1 (e) 1\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 5, n: 1, b: 3, m: 3}. What is prob of picking 2 b and 1 n?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -103.9 + -296496131660?\nAnswer: -296496131763.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/6*12\/2. Suppose -l*o - 36 = 54. Let w = 86 + o. Solve -s + 9 = x, -4*s - 7*x = -2*x - w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from uukgahak?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 55 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 87*u**2 - 39*u - 5. Let x(g) = 4*g**2 - 3*g - 1. Give -p(d) + 5*x(d).\nAnswer: -67*d**2 + 24*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.02 times 14.05\nAnswer: 0.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 691.93 - 695. Let q = 155.07 + p. Let d = q - 151.9933. What is d rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 91770718.\nAnswer: 2, 13, 61, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-225)\/(-60)*(-104)\/60*-6.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 - 15*h**2 + 57*h + 23. Determine d(15).\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-210)\/(-45))\/((-371)\/(-265)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/6*10*4\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 + 0.5. Suppose 0 = -5*j + 3*o - 9, -2*j - 3*o + 5 = -4. Suppose -5*n - 25 = j, 3*v + 1 = 2*n + 2. Which is the nearest to 0.1? (a) x (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18*5.6515.\nAnswer: -101.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2728806?\nAnswer: 2, 3, 17, 31, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1559.86 - 1560. Sort 1\/5, -4, a, -0.4.\nAnswer: -4, -0.4, a, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 6, 4\/19, 0.4, -1\/3, 1, 3 in ascending order.\nAnswer: -3, -1\/3, 4\/19, 0.4, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 2\/5 (b) 5 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes before 7:48 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 13, 1\/4, 8 in increasing order.\nAnswer: 1\/4, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*i - 4, -w + 5 = 2*i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.761 + -0.761. What is the third smallest value in -2, q, 25, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 204956 to the power of 1\/2, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*sqrt(25)\/(sqrt(15)\/sqrt(3)*-5 - sqrt(5)).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**2 - 2*u + 1. Let h be c(3). Suppose -4*v + h*r + 48 = 0, 0 = -0*v + 2*v + 3*r - 19. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 22 - 38. Calculate the remainder when (3\/6)\/((-2)\/n) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 100799992 = 5*k, 0 = -7*k + 6*k + g + 20160004. Round k to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 21049 and 187271?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 2398578477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqff when four letters picked without replacement from qffffqfqqfqqqfffqfqf.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 - 8 = -5*h - 4*b, 0 = h - 2*b - 11. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 5 = 3*o + b, 3*o - 3*b = 15. Suppose -2*p = -a + o*a + 4, a + 7 = -3*p. Suppose 938 = -a*j - 0*j. What is j rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.2 plus -2.089357594652?\nAnswer: 6.110642405348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1532521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 2*z**2 + 16*z - 1. Calculate s(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 216.96 + -233. Let t = -1.14 - r. Let s = 5.9 - t. Is s less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/376960 and -13\/3863840.\nAnswer: 15455360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -d - 7 = 3*g, -1 = 5*d + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand ((q - q + 3*q**2)*(-5 + 1 + 3) + 2*q**2 - q**2 + 0*q**2 - q**2 - 3*q**2 + 2*q**2)*(-2*q + 0*q + 4*q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 23*p**3 - 17*p**2 + 20*p. Let s(q) = 8*q**3 - 6*q**2 + 7*q. Determine 6*h(u) - 17*s(u).\nAnswer: 2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -64*p - 631. Let q(w) = -23*w - 210. Give -4*i(z) + 11*q(z).\nAnswer: 3*z + 214","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 7*f - 2*f + 71 - 13*f. What is the hundreds digit of l(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -7*g**2 - 363*g + 769. Give z(-54).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 149 + -599\/4. Which is bigger: 2\/5 or n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-20)\/(-9) + (-6)\/27. Let l be 3\/(-2)*r\/(-6). Let t = -87\/8 - -815\/72. Which is the closest to 2\/3? (a) t (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*n + 21 = -69. Solve -5*b + 21 = -v, -n*v + 5*b + 0 = 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 2*a + 9. Let m(h) be the second derivative of -h**3\/3 - 415*h. Determine w(m(f)).\nAnswer: -4*f + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 773, 808, 843, 878, 913, 948?\n\"Answer: 35*c + 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -4 (b) -1\/5 (c) -896 (d) 10 (e) 2\/21 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.3253547 nanometers to millimeters.\nAnswer: 0.0000003253547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.36 + -0.35999906. What is d rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2627 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {u: 2, g: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -105 + -142?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g - 181 = 4*h - 169, -4 = -2*g - 4*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 555 + -544. Suppose y*b + 7*b = 702. Calculate the smallest common multiple of b and 130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 25.214 + -25. Let y = 13562783.21400141 - 13562783. Let u = o - y. Round u to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/((-8)\/(-2))*6. Let g = 64 - 59. Calculate the least common multiple of g and t + 2 + 4\/(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g**3 + 2*g**2 - 8*g + 3. Let x be s(-4). Suppose x*w = -0*w + 117. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 35\/45*((-3420)\/(-315))\/38\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xlpgggmxgp. What is prob of sequence lx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the third derivative of -y**5\/60 - 5*y**4\/12 + y**3 + y**2. Suppose -2*j + 36*o = 39*o + 16, 2*o = 4*j + 32. What is c(j)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -2*s**2 - 11*s - 29. Let q(c) be the third derivative of -c**5\/60 - c**4\/6 - 5*c**3\/3 + c**2 - 5*c + 63. What is 11*q(j) - 4*x(j)?\nAnswer: -3*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1*(1 - (-2 + 0)). Let u(h) = h + 58. Let z be u(-17). Solve z = 5*f + 4*y, 9 = d*f - 2*y + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 0.3, -23, -2\/3, 7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -7 (b) -3 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -1111010101 (base 2) to base 12\nAnswer: -699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-25)\/90)\/(350\/(-315)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3804191693?\nAnswer: 3804191693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*t - 33*t + 20 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**3 - 27*r**2 - 30*r + 25. Let c(b) = b**2 + b + 1. Let l(p) = -6*c(p) - d(p). Let m = 1689 + -1667. Is 2 a factor of l(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21264*h**2 + 13623*h + 21264*h**2 + 188*h**3 - 4 - 13623*h.\nAnswer: 188*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*n = 61 + 590. Let x = n + -96. Let t(r) = -729*r - 10. Is t(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204)*1*-5)\/(sqrt(12) + (1*sqrt(432) + sqrt(432) - sqrt(432) - sqrt(432) - sqrt(432))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-37)\/481 - 132436\/(-41132)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(7) + -2 + -5)**2.\nAnswer: -4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 957 a factor of 49066347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 7*r**2 + 5*r - 4. Let g be d(4). Let f = g + -899\/7. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 319 = -177. Let v be (-2 - (-231)\/(-5))*(-20)\/4. Let j = v - y. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 91\/35 + 24\/(-48)*(-8)\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 4587 divided by 3?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 18214790 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 4*k + 1. Let b(a) = -8*a - 4. Let x(z) = 15*z + 7. Let j(f) = 5*b(f) + 3*x(f). Let g(d) = -6*j(d) + 7*n(d). Find the first derivative of g(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d - 3*u + 24, -5*d + 12 = 2*u - 25. Suppose -5*p - 3 = -4*c, -2*p + d*p + 5*c = 15. Solve j = -s - p, s + 3 - 2 = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3 + 0 - 1 + 2 - 2 - 2 + (-4 + 3 + 0)*(-1 + 2 + 2))*(36*b + 66*b - 5*b) as i*b + g and give i.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -5c4268 (base 15) to base 7\nAnswer: -52361462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7 + -8.75. Let z = 305476527 - 305476528.75000121. Let f = z - x. What is f rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -27 - -27.07. Let k = c - 0.15. Let y = -0.07997 - k. What is y rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor a**2\/5 - 150*a + 28125.\nAnswer: (a - 375)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-2)\/4)\/(1\/(-1676)). Let n = k + -496. Calculate the greatest common factor of n and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -31.95 + 34. Let f = 22.65 - z. Let x = -20.60000083 + f. What is x rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*u**4 + 29*u**3 + 2*u + 256?\nAnswer: -24*u**2 + 174*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-1))**(-9)*(b\/(b**(-1)*b))**10)**19 assuming b is positive.\nAnswer: b**361","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, -3, -5, 1\/4, 0.04 in descending order.\nAnswer: 1\/2, 1\/4, 0.04, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 948 or 558?\nAnswer: 948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(112)*-2*5 - (sqrt(112) + 0 + 1 - sqrt(112)))*-5 + 2)**2.\nAnswer: 15600*sqrt(7) + 2520169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.79206 + -1.14795. Round b to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 32441*a**4*c*w - 2*a**3*c**2 + 5*a**3*w - 11*a**2*c*w + 2*a*w + 172*c**2*w wrt a.\nAnswer: 778584*a*c*w - 12*c**2 + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -225, -484, -733, -966, -1177?\n\"Answer: l**3 - l**2 - 263*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(38) + (sqrt(152)\/sqrt(16) - sqrt(38)) - sqrt(38))\/sqrt(2) + 5.\nAnswer: -sqrt(19)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13496886*2.\nAnswer: 26993772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -25730000 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 + 4)*-1 - 12\/(-14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 662.023 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (66 + 45 - 60 - 4 + 0 + 3 + 5 - 3 + 0 + 4 - 2 + 0 + (2 + 1 - 4)*(0 + 0 - 1) - 5 + 2 + 2)*(15*d - 14*d + 12*d).\nAnswer: 702*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 1)*(-5 - 2*n + 5) + (-4*n + 0 - 1 + 2*n)*(-3 - 3 + 4 + (3 + 3 - 3)*(-6 - 7 + 4)).\nAnswer: 56*n + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 15*j**2. Let i(z) = -11*z - 4*z - 4*z + 23*z. Give v(i(g)).\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**3 + 6*u**2 + u - 6. Let a(t) = t**2 + 14*t + 36. Let k be a(-17). Suppose 17*c - k = 15. Calculate the remainder when y(-5) is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 420091577 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 23067902?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 319817359.\nAnswer: 31, 43, 79, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 6*y**3 + y**2 - y - 6. Let b be (-35 + 39)\/((-5)\/3 - -3). Let a(j) = -5*j**3 + 5. Determine b*r(u) + 4*a(u).\nAnswer: -2*u**3 + 3*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5382 - 2022. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 96038 and 104966.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10, -4, 18, 62, 134, 240?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + -6 + -2)*180\/(-105)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b - 1. Let p be z(-4). Suppose 4*c = x - 3, 3*c - 4*x = -3*x - 1. Let v(k) = k**2 - 2. Let a be v(c). Is a >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = n + 12. Let m be l(-11). Let c = 8 - m. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-8)\/6 - 11330\/66. Let r = a - -209. What is the highest common divisor of r and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -2*m. Let x(n) = 11108205*n. What is x(b(v))?\nAnswer: -22216410*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 232825 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 62*c**2 - 31*c**2 - 14*c**3 - 31*c**2.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 11*i**2 - 4*i - 21. Does 14 divide y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11334 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-9)\/(-32)*108\/(-1053)*13. Suppose 0 = -j - 1. Which is the nearest to l? (a) 0.2 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c**(-3\/5)\/c))\/c**(-3)*(c**2)**(-46))**(1\/9) assuming c is positive.\nAnswer: c**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1156269353.\nAnswer: 29, 149, 267593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 547 divide 326272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t, 1 l, and 1 m when four letters picked without replacement from {m: 3, l: 1, t: 3, c: 2, z: 2, w: 3}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3011 = -134*h - 599 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t + 7. Let a be p(7). Suppose 4*s + s + 20 = a. Let y = s - -6. Solve y*n = -2*o, 3*o + 5*n + 0 - 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 280151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -10 (c) 64\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((-2*sqrt(114))\/sqrt(2))\/((sqrt(3) - (-2*sqrt(3) + sqrt(3) - sqrt(3)))*6).\nAnswer: 2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 2*y - 498 = 0, 3*j - 6*j + 4*y + 379 = 0. What is the highest common factor of j and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16375653?\nAnswer: 3, 7, 71, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -18 - -10. Let o = z - -8. Let k = o + 5. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 249*d = 266*d. Solve d = 2*o + 23 - 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3254290 >= 3254290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -9*w**3 + 5*w**2 - 9*w - 4. Determine r(3).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -1198 less than or equal to -1206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 356635*a - 356419*a - 13608 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84949 is divided by 104.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u + 15*u = -72 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1220 and 273890.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1541841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = -28 + 26. Let o = -3 - -2. Let t = 3 - 4. What is the nearest to o in t, z, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 116494?\nAnswer: 2, 7, 53, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is (-185)\/(-10) - (-2 - 9\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -2*f. Let s(l) = 2116*l + 2824*l - 1731*l. Determine s(g(x)).\nAnswer: -6418*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 2 + 5*q + 2*q**2 - 7*q - 2*q. Let w(u) = u + 22. What is the lowest common multiple of h(2) and w(14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*z**3 + 2*z**4 - z - 5*z**3 - 5*z**3 to l*z**3 + j + x*z**2 + n*z**4 + t*z and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -18*a - 2552. Give p(-143).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.411 + 0.\nAnswer: 1.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 0.0606, -1, -66\/161 in ascending order.\nAnswer: -1, -66\/161, 0.0606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -h**3 - 2*h**3 + 43*h**3 + (0*h + 0*h - h**2)*(5*h + 7*h + 42*h).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**6)**(-4\/11)*(g\/(g**(-3)*g))**(-4\/7) assuming g is positive.\nAnswer: g**(-300\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -59*g + 109*g - 1240 = -74*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*s**4\/3 + 8*s**3\/3 - 96*s**2 + 360*s - 396.\nAnswer: 4*(s - 3)**3*(s + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0.07 * 0.028\nAnswer: 0.00196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fftzsslffsfzfz. What is prob of sequence fzt?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 405653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/2*(-3)\/18*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1422164478 divided by -12475127\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 34*i**3 - 6*i - 19. Let y(g) = 34*g**3 - 7*g - 18. Let b(f) = -6*x(f) + 5*y(f). What is the second derivative of b(u) wrt u?\nAnswer: -204*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4978 - 2649 = -29*u. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -29*m**3*q + 10926*m**2*q + 2*m*q - 120654*q wrt m.\nAnswer: -174*m*q + 21852*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -0.4 bigger than -2\/341089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 2 + sqrt(2299) + (sqrt(2299) + sqrt(2299)*2)*6)**2 - (-5*(3 + 5*1*sqrt(19)))**2.\nAnswer: -1168*sqrt(19) + 817840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -184*m + 94*m - 5*m**2 + 93*m.\nAnswer: -5*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42*w + 18 = -41*w. Let r = 31 - 7. Suppose 3*x - 4*y - 36 = -y, 2*x - 4*y = r. Calculate the smallest common multiple of x and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 1054 (base 6) to base 12\nAnswer: 18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 440.912 to 1 dp.\nAnswer: 440.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 36 - 524. Let t = v - -901. Does 49 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-3)*o\/o**(-5))\/((o*o**(-3))\/o*o\/o**3))\/((o**(1\/3)\/(o\/(o\/o**(1\/10))))\/(o\/o**0)**(10\/7)) assuming o is positive.\nAnswer: o**(1931\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 24524121 (base 6) to base 10\nAnswer: 788881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the second derivative of -3\/20*x**5 - 16 - 3\/2*x**4 + x - 6*x**3 - 12*x**2. Solve o(h) = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = 57 - 77. Solve 1 = -b - y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2295854 by 179.\nAnswer: 12826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - v - 430 = 0, 0 = 4*b - 3*v - 2*v - 422. Suppose -4*a - 392 = -35*a + 352. Calculate the highest common factor of b and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*g - 6*c + 26, -48*g - 18*c + 8*c - 379 = -15*c for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z - d + 66, -d - 4 = -0*d. Let r = z - 12. Let c = 6 - r. Solve -2*u + c*l + 8 = 0, 0 = -2*l - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - (-4 + 5)) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 15, w: 4}. Give prob of sequence twt.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12.07 - 1.97. What is v rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*x - 300 = 4*x. Calculate the remainder when 1198 is divided by x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**5 - b**4 + b**3 - b. Let v(p) = 8*p**5 + 2*p**4 + 14*p**3 - 24*p**2 - 12*p + 12. Let h(a) = v(a) - 10*w(a). Suppose h(r) = 0. Calculate r.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 37302 + 265?\nAnswer: 37567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**2 - 8*f + 7. Let s = 91 + -100. Let v be d(s). Which is bigger: v or 0.001?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(-1)*m)**(-20\/7)\/((m**(-45)\/m)\/m*m*m*m**24*m) assuming m is positive.\nAnswer: m**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -115748\/5 + 23154. Solve -u*r**2 - 18\/5*r + 4\/5 = 0 for r.\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49574184?\nAnswer: 2, 3, 11, 43, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that 3*g**3\/7 - 1441050*g**2\/7 + 823452*g - 5764152\/7 = 0.\nAnswer: 2, 480346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**2 - 27*r - 122. Calculate the smallest common multiple of 6 and p(-11).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 70*i**3*t**2 + 24297*i**3*t - 3*i**2*t**2 + 11082773*t**2 wrt i.\nAnswer: 420*t**2 + 145782*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be 45\/((-14)\/(-7)*1\/2). Suppose 2*z + x = 7*z. Suppose -6*f - z = -39. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -13 - -28. Let c(r) = -12*r - 68. Let f be c(-6). Suppose -o - 2*k + g = k, k - 16 = -f*o. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-r + 3*r - 4*r)*(-10*r**2 + 7*r**2 - 11*r**2 + 6*r**2 - 5*r**2 - 3*r**2 + (2 + 1 - 2)*(-r - 2*r**2 + r)) to b*r**3 + j + p*r**2 + q*r and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 0*z**3 + 0*z**3 + 3*z**3 + (z**2 + 0*z**2 + 0*z**2)*(2 - 2 - 2*z) - 4177*z**3 + 4173*z**3 + 40 + 29 as u*z + b*z**3 + x*z**2 + v and give v.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 7*g - 41 = 5*y, -2*y + 10 = 5*g. Let f be (y - -7)*(-1)\/(-4)*10. Solve 0 = -j + 2, f*s + 8 = 4*j - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 67519876363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 96723792 a multiple of 538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4027 or 1961?\nAnswer: 4027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1433\/25287 or -1?\nAnswer: 1433\/25287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.406 - -362.594. Let a = -362.4 + u. Let w be 39\/18 - (-2)\/(-1). What is the biggest value in 4, w, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**4*m*m*m\/m**(1\/3)*(m**1)**(-13\/4) assuming m is positive.\nAnswer: m**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 14) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1366 and -10.8.\nAnswer: -1.47528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -2*w**2\/3 + 2960*w\/3 + 1976 = 0.\nAnswer: -2, 1482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 3*r + 3. Let t be 3\/(-9) + 37\/r. Solve -t = -4*i - 0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1705 + 4?\nAnswer: -1701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1231441 (base 6) in base 7?\nAnswer: 364552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -0.1, -63, -1, -5, 5, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is q in -2*q**5\/11 + 94*q**4\/11 - 1394*q**3\/11 + 710*q**2 - 10700*q\/11 - 20000\/11 = 0?\nAnswer: -1, 5, 8, 10, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*o - 515765 = -35311 + 38208. List the prime factors of o.\nAnswer: 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/179, -2186, -4 in increasing order.\nAnswer: -2186, -4, -1\/179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6152 + -12297\/2. What is the closest to -2\/7 in a, 0.9, 3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (173 + 62 + 123)*(-6*p - p + 2*p + (-5*p + 4*p + 0*p)*(-1 - 4 + 3) + 2*p + 0*p + 0*p) to the form u*p + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 67276178.\nAnswer: 2, 499, 67411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -25*k**2 + 2*k + 8. Give y(2).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -4. Let q = 322 + -311. Let k(v) = v - 20. Let t(j) = -2*j**2 - 67*j - 35. Let m be t(-33). What is m*k(z) + q*y(z)?\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 412214 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*f**3*v**3 + 125433*f**3 - 328964*f**2*v**2 - v**3 wrt f?\nAnswer: -24*v**3 + 752598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 4*k**2 + 791. Let z(m) = -207*m - 315. Calculate z(s(b)).\nAnswer: -828*b**2 - 164052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 890354555 to the power of 1\/2, to the nearest integer?\nAnswer: 29839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.44743 + -843909?\nAnswer: -843908.55257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 143\/12 and 103\/110?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 10*f - 112. Suppose 194 = 2*t - f. What are the prime factors of (-4)\/(-8)*-4 + t?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:29 AM and 10:42 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2761 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18 and 232640262?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -12*c - 3. Let s be k(-2). Suppose 0 = -3*a + 3, 4*d - 3*a - 82 = -s. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -1a59 (base 11) to base 4\nAnswer: -220231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -219142*b + 219471*b - 23030 = 0 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 3*u + 5 = 2*u, -2 = k + 2*u. Let o = k + 9. List the prime factors of (18 - 1)\/(o - 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*u + 5*a + 64 = 7*u, 5*a = -20. What is the greatest common divisor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 49 - -67. What is the units digit of ((-29)\/k)\/(2\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20 - -8 - 3 - -5) + (66 + 14 - 14).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -169\/270 and 32\/32535.\nAnswer: 65070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 387 - 392. Which is the nearest to -8? (a) f (b) -5\/2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:07 PM and 8:52 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -66 + 47 = -19*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-1938)\/(-3))\/(-5 - -3). Let c = 710 + u. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -119*w**3 - 4*w**2 + 3*w - 5. Let d(n) = -3*n**3 + n**2 + 1. Calculate -4*d(k) - j(k).\nAnswer: 131*k**3 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {c: 2, i: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-57)\/12 + 2\/(-8). Let d(p) = p**2 + p + 4. Let u be d(y). Suppose 4*o = -0*o + u. 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: Let w(v) = 318199*v**3 - 7*v - 318193*v**3 - 2 - 7*v**2 + 9. Let y(a) = -a**2 - a + 1. Determine -3*w(m) + 21*y(m).\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1 - 42\/(-12))*(3 + -1). Suppose -21 = 2*m - 5*m - i*f, 0 = -3*m + 2*f + 21. Let k = 25 + -14. Calculate the remainder when k is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -71744\/9 + 7980. What is the common denominator of 147\/6 + 0\/(-4 - 1) and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1306, 5215, 11730, 20851, 32578, 46911, 63850?\n\"Answer: 1303*n**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -92*f + 13*f - 44 = 33 + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -766972*z. Let y(j) = -2*j**2. Determine y(c(p)).\nAnswer: -1176492097568*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**2 + 5*f. Let a be b(4). Suppose 4 = 2*m, -4*y - 3*m + 76 = -18. Let j = -8 + y. Solve a*r = -2 - j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 490 + 251. Let p = -61502\/83 + x. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**2 + 6*x + 28. Let b be u(-9). Let z(w) = 27*w**2 + 25*w**2 - b*w**2 + 17*w**2. Let q(r) = -6*r. Determine q(z(c)).\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -10*f*p + 78*f - 225*p + 56 wrt p.\nAnswer: -10*f - 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(42)\/(2*sqrt(7)) - (sqrt(6) + (sqrt(6) - sqrt(24)) - sqrt(6))*-6)\/((sqrt(288) + sqrt(16)\/(2*sqrt(8)))*6).\nAnswer: -11*sqrt(3)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 + 6*r**2 + r - 2. Let z = -48 - -87. Suppose 1 = 4*h - z. What is the remainder when i(-5) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 114*i**2 - 975*i**2 - 322*i**2 + 125*i**2 to f + l*i + j*i**2 and give j.\nAnswer: -1058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -19*c - 21*c + 111 + 78*c - 20*c. What is the hundreds digit of x(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-729)\/135)\/(6\/(-50)). Is (-62368)\/(-240) - (-3)\/(j\/2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 126 a factor of 2169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -24080, -192314, -648834, -1537778, -3003284, -5189490?\nAnswer: -8240534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f - 0 - 12. What is the third derivative of 0*u**3 + 2*u**f - u**4 - u**2 + 0*u**3 wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2405 + -3998. Let o = c - -1594.357. Let r = 0.183 + o. Round r to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -47*r**2 + 514*r**2 + 606*r**2 - r + r to f*r + x + t*r**2 and give t.\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12471901.\nAnswer: 13, 959377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 4*l = 76, -3*l - 30 = -5*p + 63. Suppose 0*s + p = 3*s. What is the remainder when 26 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.04 + -2.96. Let o = -1.9 - -2. What is the closest to o in 5, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2387\/(-33) + 4\/(-6). Let c = 125 + x. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -10*f**2 - 11*f - 2. Let m(r) = -5*r**2 - 6*r - 1. Determine -3*d(b) + 5*m(b).\nAnswer: 5*b**2 + 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 113228, 226388, 339428, 452288, 564908, 677228?\nAnswer: 789188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 11*t + 9*t + 2*t in the form p*t + k and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 44 (base 11) in base 13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15157, -30318, -45479, -60640, -75801?\nAnswer: -90962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - l - 688. Suppose -5*y - 2*v = -229, 4*y - l = -2*v + 6*v. Calculate the greatest common divisor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1171 less than 757?\nAnswer: 756.8829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58 = -4*q - 38. Let r(l) = 0*l + q*l + 9*l - 12*l. Let h(p) = -2*p - 5. Give h(r(s)).\nAnswer: -4*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -202 = 5*k + 48. Let u = k + 62. What is the highest common divisor of u and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes before 4:32 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 4*l - 7. Let p(g) = -g - 1. Let y(h) = -7*h + 7*h - 12*h + 5. Let w(s) = 6*p(s) - y(s). Let c(f) = 8*t(f) - 5*w(f). Differentiate c(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 25228614, 50457229, 75685854, 100914495, 126143158, 151371849, 176600574, 201829339?\n\"Answer: q**3 - q**2 + 25228611*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 72*l + 60*l + 71*l + 39 = 201*l - 45*v, -l + 3*v + 6 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add together 63.567544 and -4.\nAnswer: 59.567544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -3*s - 28, -2*s - 100 = -5*i - 7*s. Let w = -1622 + 1773. Calculate the remainder when w is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44 minutes before 2:40 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 68, 37, -22, -115, -248, -427, -658, -947?\nAnswer: -1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 75 and 6925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 1843\nAnswer: -2\/1843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4043*a**3*l*o**3 + 1135219*a**3*l*o**2 + a**3 + 747*a**2*l**2*o**3 + 16*a**2*l**2 wrt o?\nAnswer: -24258*a**3*l + 4482*a**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -1.52 - -110\nAnswer: 108.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -166 + 21. Let s = g - -143. Put s, 1\/7, 3\/5 in increasing order.\nAnswer: s, 1\/7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -301 - -327. Let g(c) = c**2 - 27*c + 62. Let h be g(d). What is the highest common factor of h and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 107 + -174. Let p = -34 - t. Let m = -32.2 + p. Which is smaller: m or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/8*490\/1029.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -295301\nAnswer: 3\/295301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 5 + 2)*(-32*y + 55*y + 159*y).\nAnswer: 728*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/11, -105, -4434 in ascending order.\nAnswer: -4434, -105, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 363*r**6 - 30*r**5 + r**4 + 89*r**2 - 34*r - 1 wrt r.\nAnswer: 43560*r**3 - 1800*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -27740*b**2*w**2 - 21958*w**2 wrt b?\nAnswer: -55480*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {q: 1, d: 1, w: 1, x: 1, m: 1, u: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h + 21 + 7. Let a = h + -3. Let k be (7 - 1) + -5 + a. Solve -11 = 2*p + n, 5*n = -k*p + 3*n - 25 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 7. Let w(k) = 20. Let r(h) = -8*o(h) + 3*w(h). Let b(f) be the first derivative of f**2\/2 - 7*f + 2094. Calculate -4*b(i) - 7*r(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 14.55438 + 507\nAnswer: 521.55438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 95909005 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**0\/u)\/u)**14*u**(1\/10)\/(u**(1\/6)*u) assuming u is positive.\nAnswer: u**(-436\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the first derivative of -105*b**4\/2 + 375*b + 1037. What is the first derivative of u(o) wrt o?\nAnswer: -630*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -2417081.4976 and -0.5.\nAnswer: -2417081.9976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 4*u + 59. Let k be l(-15). Let r(q) = q**2 - 3. Let j(h) = -h**2 + 1. Let d(c) = k*r(c) - 3*j(c). Let a(z) = 6*z. Determine a(d(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.2 * -257.\nAnswer: 565.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2974?\nAnswer: 2, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 12268260 to the nearest one hundred thousand.\nAnswer: 12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the second derivative of -q**2 + 0 - 2*q + 1\/2*q**3. Let v be r(2). Solve 0 = 5*c + 3*j - 7, v = c - 0*j - 2*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -2*m**2 - 37*m + 5. Let r(k) = -2*k. Calculate r(j(v)).\nAnswer: 4*v**2 + 74*v - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the first derivative of -1039*k**2\/2 - 558*k - 752. What is the derivative of j(i) wrt i?\nAnswer: -1039","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-z**2 - z + z)*(13*z + 22*z + 37*z) - z**3 + 6*z - 6*z to g*z**3 + t*z + d + u*z**2 and give g.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:44 PM and 4:02 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7408385 is divided by 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(216) - sqrt(216)*-1*4)\/(sqrt(1452)*2).\nAnswer: 15*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of -f**4\/4 + f**2 + 23*f + 1554. What is n(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*a - 2 + 3 - 5 - 28 in the form d + h*a and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -12 - 197?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 117 is divided by (4 - 2)*(-15)\/20 - (-111)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**2 - 6*g + 3. Let n(b) = 1. Let p(t) = c(t) - 4*n(t). Let a be p(6). Calculate the least common multiple of 3 and (44\/(-4))\/(a\/1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-1\/10)\/u*u)\/u)**(3\/7) assuming u is positive.\nAnswer: u**(-33\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000391110363 to seven decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h. Let o = 1 + -4. Let k be 4 - (-2)\/(6\/o). Let u(p) = -k*p + p - p + 2*p. Calculate f(u(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 175 - 8. Let z = 169 - i. Which is the nearest to z? (a) 4\/3 (b) 0 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -85.6 - -53. What is r rounded to 0 dps?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/z**(-1))\/z)\/z)**(3\/7)\/(z\/(z\/(z*(z\/z**(1\/8))\/z))*z**1*z*z)*(z**(2\/3)*z\/z**(-2))**(-5) assuming z is positive.\nAnswer: z**(-533\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**3 + 5*j**2 - 3*j - 4. Let m be u(4). Suppose m = y - 1 - 0. Is y equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 72 and 8523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24 + (-36 - -24 - (5 + 8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is g in -2*g**2 - 142*g - 276 = 0?\nAnswer: -69, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.0481? (a) -2.1 (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = s, -4 = 3*a + 4*s + 6. Suppose 3*c = 9, 2*o - 14 = -0*c - a*c. What are the prime factors of 6\/o - 3\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 8280.881ml to litres.\nAnswer: 8.280881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 131078946 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5\/181, 4, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be 144\/(-36) - 12\/(1*-2). What is the second biggest value in 1, t, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1794356 plus 0.4?\nAnswer: -1794355.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 132*i - 127*i + 5 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -44185*d + 11797401. Give s(267).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 162 is divided by 39?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1909, 3816, 5723, 7630?\n\"Answer: 1907*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q\/q**4*q*q*(q*((q**(-1\/6)*q)\/q)\/q*q)\/q)\/(q**1)**(-7)*(q*q**7)\/q**(-1\/6)*(q**(2\/3))**(-42) assuming q is positive.\nAnswer: q**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*p + 17*p + 9 = 0. What is the remainder when 6 is divided by ((-6)\/p)\/(2\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5893394 to the nearest integer?\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 10267 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*a**2*r - 5*a**2 + 2397*a + 28939*r wrt a.\nAnswer: -4*a*r - 10*a + 2397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes after 7:02 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1*(-8)\/10)\/((-2)\/20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -9*a**2 - 3 - 8*a**4 + 24*a**4 - 13*a**4 - 12*a**3 + 0*a**4 - a**4 in the form c*a + d + i*a**4 + x*a**2 + z*a**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lqlcxllc. What is prob of picking 1 x and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2 + 9*g + 1. Let w be q(-9). Let y be 2*w\/(-6)*-15. Sort -1, 4, y.\nAnswer: -1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 71 = 3*x + y, x + y + 38 = -4*x + 119 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 153\/((-2907)\/19)*31\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-108)\/(-21) - (-1)\/(-7). Let k(s) = 8 - j*s - 4 - 4 - s**3 - 3 - 4*s**2. Determine k(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*k - k**5 + 3*k + (-k**3 + k**3 - 2*k**3)*(-4*k**2 + 3*k**2 + 3*k**2) + (-6*k + 0*k - k)*(-7*k**2 - 7*k**2 + 3*k**4 + 4*k**2).\nAnswer: -26*k**5 + 70*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 398393, 398405, 398425, 398453?\n\"Answer: 4*v**2 + 398389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1301, -1306, -1313, -1322, -1333?\nAnswer: -1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 5 - 1 = 0. Suppose 6*d + 2 = -f + 4*d, j*f - d - 8 = 0. Let l(u) = -3*u**2 + 0*u**f - 15*u**2. Let w(i) = 2*i. Give w(l(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -147 - 128 + 562 - 144 - 143 + 862*p.\nAnswer: 862*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + 18 = -4*p, 3 = 4*p - 5*a + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -109*s**2 + 51 - 51 - 171*s**2.\nAnswer: -280*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 15062, 15061, 15060, 15059, 15058?\n\"Answer: -l + 15063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/18 and 61\/21092596?\nAnswer: 189833364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1248, 2466, 3684?\nAnswer: 4902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -32*u**3 + 2 - 4*u**4 - 2*u**2 + 32*u**3 as d*u + a*u**2 + v + p*u**4 + l*u**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2713141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**2 + v - 4. Let x be n(0). Let a(o) be the second derivative of 7*o**4\/12 + 7*o**3\/6 + 3*o**2\/2 - 266*o. What is the units digit of a(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1314 divide 4858963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 5435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 27412370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*v - 4*v + 12 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*v + 2*z - 40 = -7*v, -3*v - 40 = -4*z for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(-14) - (-5264)\/3528 - (-3000)\/864\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3138?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*v + 1431 = -2*l + 1474, 4*l - 9 = v + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**3 - 75*u**2 - 74*u.\nAnswer: -u*(u + 1)*(u + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = -2*a - 4. Suppose -4*k - 3*g + 21 = 0, 2*g + 5 - 27 = -a*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (y + y - 3*y)*(-6405*y**2 + 793*y**2 - 1922*y**2) as z + l*y**2 + x*y + i*y**3 and give i.\nAnswer: 7534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = l + 18 - 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 98*i - 1. Let n(a) = 8326664*a. Give q(n(w)).\nAnswer: 816013072*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*q = 15 + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2808 + 2851. Which is greater: 67 or l?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (24\/(-30))\/(2\/(-5)). Let v(x) = -f - 2*x**2 + 3 + 5*x**2. What is the units digit of v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**3 + 5*c**2 + 2*c - 2. Let s(p) = -3*p**2 - 12*p - 12. Let h be s(-3). What is t(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -8*t**3 - 16*t**2 - 50*t + 13. Let k be f(-17). Suppose 10963 - k = -4*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 38, 193, -5, -2, -24 in ascending order.\nAnswer: -24, -5, -2, 38, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 34*f**4 + 4*f**3 - 8626*f**2 + 7567131 with respect to f.\nAnswer: 136*f**3 + 12*f**2 - 17252*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:54 AM and 5:40 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 337 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -1623*c + 1 = -1624*c - 2*w + w, 5*w = 11 + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the third derivative of 15*c**3 - 13*c**2 + 1\/60*c**5 - 19\/40*c**6 + 0 - 2*c + 0*c**4. Find the first derivative of g(x) wrt x.\nAnswer: -171*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.4 (b) 5 (c) 58\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:51 AM and 12:30 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 285*g + 289*g + 31 = 0, 2*m + 2*g + 14 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 93 times 1049228\nAnswer: 97578204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -172*d**2 - 118*d**2 + 266*d**2 - 101*d**2 - 229*d**2.\nAnswer: -354*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the third derivative of 8399*u**4\/12 - 5*u**3\/3 - 15*u**2. Let r be t(-5). Round r to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1696*j + 1689*j + 11*j**5 + 52*j**5 + (0*j**3 + 2*j**3 - 5*j**3)*(-2*j**2 - j**2 + 2*j**2).\nAnswer: 66*j**5 - 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be (13 - -1)*(-5)\/(-2). Let g = y + -17. Let f = 11 + -5. What is the smallest common multiple of f and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 + -4 + (-3 - -7) + 3 - 7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4*((-38)\/4 + 3). Let q = -69 + 21. Let c = a - q. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(108)\/sqrt(4)*6 - sqrt(27))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18151 + 36260 + 80*a - 18109.\nAnswer: 80*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 76364597 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -7*g**2 + 89*g - 69. Give h(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 443 + 121?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -2*h**3 + 2*h**2 - h + 1. Let j be a(2). Let k = -3 - j. Let b(d) = 11*d - 13. Is b(k) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 4*v = -2*r + 1390, -1418 = -2*v + 5*r. Let y(u) = -2 - 696*u + 4*u**2 + 3 + v*u. Is y(-2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fefffffffffffffffff?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 9 - (2 + 6) - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1, -20, -55, -104, -167, -244?\n\"Answer: -7*c**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -885, -1588, -2119, -2478, -2665, -2680, -2523?\n\"Answer: 86*n**2 - 961*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1*2)\/(0 + -1). Let o be 11\/14 + 1\/h. Let w = -17 - -15. Which is the biggest value? (a) o (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s and 1 g when three letters picked without replacement from ssfsg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = g - j, -3*g = -20*j + 16*j + 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 799 at most 2897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 22189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -93098616, -93098615, -93098614?\n\"Answer: h - 93098617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 34499189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes before 9:19 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 58 or 0.013249?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 28042\/(-462693) + 145\/33\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:24 PM and 11:37 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 916 = -103*u + 100*u, 4*u - 2738 = 3*p. Round p to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7804253, -7804251, -7804249, -7804247?\nAnswer: -7804245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 11012001122202 (base 3) in base 2?\nAnswer: 1000011111010011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 61864.737 take away 0.2?\nAnswer: 61864.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y - 5*y + 70 = 0. Let z be 19\/7 - (-4)\/y. Factor 0*d**2 + 3 - 2 - d**5 - 2*d**2 - d + 2*d**z + d**4.\nAnswer: -(d - 1)**3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 105601085951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4718621, -9437252, -14155883, -18874514?\nAnswer: -23593145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 24*l + 15*l**2 - 23*l**2 - 3*l**3 - 13*l - 28*l + 6*l**3 as p*l**3 + q + a*l**2 + o*l and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-28)*y)**(14\/5)*((y\/y**(-19\/4))\/y*y)\/(y\/(y**(1\/6)\/y*y)) assuming y is positive.\nAnswer: y**(-4241\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c**3 + 2*c**3 - 3*c**3)*(-3*c**2 - 2*c**2 - c**2) + 108*c**5 + 134*c**5 - 8*c**5.\nAnswer: 228*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q**3 - 7*q**2 + 8*q - 4. Let h be m(6). Suppose 0*i - h = 2*i. Let o(n) = 6*n**3 + 4*n + 1. Let g(z) = -5*z**3 - 3*z - 1. What is i*g(d) - 3*o(d)?\nAnswer: 2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -19*c + 12*c + 8*c**2 - 4 - 9*c**2. Let g be j(-6). Suppose u + 3 + 2 = 2*a, 15 = 5*u - g*a. Solve -u*x - 3 = 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 3, m: 3, d: 4, i: 1}. What is prob of sequence dim?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 99883 - 99815. Let w = -3.03 + 0.03. What is the closest to 1 in -1\/4, w, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 319357143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-14 + 13)*6 - (4 - -2). Let t(v) = 4*v + 6. Calculate t(z).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5098, -5081, -5090, -5131, -5210, -5333, -5506, -5735?\nAnswer: -6026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-7)\/1*4\/28*-26. Suppose -1678 - b = -12*d. What are the prime factors of d?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kyk when three letters picked without replacement from kyyykyyyyy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 366.16 - 368.1611. Let h = 2.6 + -0.6. Let r = w + h. What is r rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -5, 152, -1, 0, 93 in ascending order.\nAnswer: -5, -1, 0, 4, 93, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -71316 by -12.\nAnswer: 5943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**12\/z**(-13\/5))\/(z**(-1)\/(z\/z**(-7))) assuming z is positive.\nAnswer: z**(118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 523276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 4332 divide 1830509592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t**2 + 20*t + 63. Give q(-9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 26 = 4. Let n(j) = -3*j + 6*j**2 - 7 + j**2 - l*j**2. Let f(r) = 1844*r - 11058. Let w be f(6). Give n(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in -2\/229, -7\/5, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 765166818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -60133438 + 3?\nAnswer: -60133435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -290*x**2 + 19430*x + 30. Calculate n(67).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-98)\/21)\/(-7)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*y**3 + 0*y + 0*y + (5*y + 0*y - 2*y)*(2*y - 2*y - y**2) + (2*y - 2*y + 2*y)*(2*y**2 - 5 + 0 + 11).\nAnswer: 3*y**3 + 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4 + 1)*(-6 + 0 + 3*v + 4).\nAnswer: 12*v - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 6) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/44)\/(12\/(-336)*-7)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -5, -35, -93, -179, -293, -435, -605?\n\"Answer: -14*m**2 + 12*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t*t**4*t)\/t)**(-4\/13))**(6\/5)*t*t**4*t**(-2\/15)\/t*(t**0*t)\/((t*t\/(t**6*t))\/t) assuming t is positive.\nAnswer: t**(1759\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1223839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**3 + 94*s**2 + 22816*s - 2367904.\nAnswer: -(s - 124)**2*(s + 154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1.2 (b) 2\/5 (c) 0.59 (d) -16247 (e) -0.5 (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/15521 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1480540867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7.7 - -4.6. Let a = -13 + 16. Let z = a + i. What is the smallest value in -0.2, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide (-12)\/(-14)*(13 + 3 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 3*o**2 + o - 1. Let b(d) = 5 - 4*d**2 - 4*d - 1 - 6*d**2. Suppose 142*a = 141*a + 6. Let y(w) = -w**2 + 8*w - 5. Let c be y(a). Give c*m(x) + 2*b(x).\nAnswer: x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -192bb4 (base 16) in base 2?\nAnswer: -110010010101110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 160162 * -7.\nAnswer: -1121134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 9*z + 1. Let u be -62 + -43 + 126 + 3*-8. Let d(m) be the second derivative of 5*m**3\/6 - m. Calculate u*w(r) + 5*d(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + (3 - -5) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = -l + 5*m, 2*m + 15 - 5 = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhqq. Give prob of picking 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjt when three letters picked without replacement from {o: 2, j: 5, i: 1, t: 1, f: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 98 + a285dd?\nAnswer: a28697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -22407 * -4.\nAnswer: 89628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 1467 = 239*s - 76*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(1\/28))**(7\/10)\/(f**(-7\/9)\/f*f*(f\/f**(2\/53))\/f*f*f))**(-2\/31) assuming f is positive.\nAnswer: f**(22123\/295740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 2 - 1)*(-520*h**5 + 261*h**5 + 260*h**5 - 57*h**2).\nAnswer: 2*h**5 - 114*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -2*y**2 + 19*y + 126. Let m be v(14). Which is the nearest to -10? (a) m (b) -5 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/6*2 - 39. Let r be a\/12*3\/2. Let k be (r - (-1 - 3))*0. Solve k*f = f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {e: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 24752888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (32*a - 13*a + 11*a)*(2*a - 2*a - a).\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is (-72)\/252 - 949895*3\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-7)*(99\/36 - (-30)\/(-10))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -30*k + 3*k + 122877. Is k a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/70*104)\/((-72)\/28)*-9?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-five eighths of a kilogram in grams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 47\/4 of a kilometer in meters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -710 - -1284. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((q*q\/q**(1\/3)*q)\/q*q)\/q)**(-28))**47 assuming q is positive.\nAnswer: q**(-6580\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 27978*n - 195818. Give b(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 982185770 - 0.087.\nAnswer: 982185769.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-3924)\/17658*((-2)\/(-3) - (-17)\/(-12))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/4910450 and 21\/7267466?\nAnswer: 181686650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1035\/322 + (-2)\/(-7))*(-4)\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f + 6*f + 6. Let v(h) = -h**3 + 6*h**2 - h + 8. Let b be v(6). Let t(x) = x + 0*x**2 - 1 - 5*x - x**b. What is t(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 200111 (base 4) in base 13?\nAnswer: c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4 - 9. Let q be (-2)\/(-6) + v\/33. Suppose -5*b - 4*z = -4, 5*b = -2*z + 4*z - 2. Which is smaller: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -3*r - 3, 7*m - 3*m + 5*r + 37 = 0. Let v be m - 1\/(-1) - -2. Suppose v = -2*z + 3*z - 4. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -877.71 take away -0.82?\nAnswer: -876.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g - 6 = -56769*x + 56787*x, 2*g - x = 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the first derivative of z**5\/120 + z**4\/6 - 68*z**3\/3 - 2*z - 135. Let x(v) be the third derivative of n(v). Let f = 6 - 11. Give x(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 13133508 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -2*i - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -117 - 164*a**3 + 388 + 655*a**3 + 192 + 156*a**3 with respect to a.\nAnswer: 1941*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -46*r**2 - 27*r + 9. Let j(f) = -128*f**2 - 83*f + 27. Let y(z) = -5*j(z) + 14*m(z). Calculate y(10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d**(-6)*(d**15*d)\/d)\/(((d\/(d\/(d*d*d*d**34)))\/d)\/(d*d**(-3\/5)\/d*d)))**(-6\/31) assuming d is positive.\nAnswer: d**(768\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract 25.2 from -8.82.\nAnswer: -34.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -23 + (-7 - (-10 - (-13 + 2)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 0.948785 centimeters?\nAnswer: 9487.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, -1, -2, 33.\nAnswer: -21, -2, -1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 + -1. Suppose 0 = 3*v + 16*v + 380. Let w be (-275)\/(-77) + v\/(-14) + -2. Solve 0 = 3*r + w*f - 12, 3*f - 10 = -2*r - s*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 15139318 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*n + 8*d - 701348 + 701490, -n + 5*d = -83 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -248028 and -0.5?\nAnswer: 124014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -4.182*2.1\nAnswer: -8.7822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -231 + 412?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the second derivative of h**3\/6 - 2*h**2 - h. Let d be s(5). Which is the nearest to 1? (a) d (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3, 1288, -2, -25, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -311488\/21 + 14829. What is the common denominator of a and -35\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45*(-3128)\/46368*8\/5?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {t: 3, c: 2, z: 1, u: 1, i: 3, a: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xkkkkkkkxk. What is prob of picking 2 x?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 3137175+0.0355\nAnswer: 3137175.0355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-1\/2))**(-50)\/(o**1)**15 assuming o is positive.\nAnswer: o**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2892*q**2 + 5*q**3 + 574*q**2 + 573*q**2 + 568*q**2 + 600*q**2 + 577*q**2.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 2*o**2 - 5. Let t be d(2). What is the third derivative of t*a**2 + 12*a**2 - 7*a**6 + 10*a - 10*a wrt a?\nAnswer: -840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, -2, -1248, 0 in decreasing order.\nAnswer: 0, -0.3, -2, -1248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*i**2 + 2 - 25*i**4 - 26*i**4 + 52*i**4 - 3*i**2 to the form n + q*i**4 + b*i + v*i**3 + y*i**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10 - -24. Let n = -43 - -99. Calculate the remainder when n is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 6 (b) 2\/9 (c) 228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3491 is divided by 313.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*a - 4*a - 10*a)*(13 - 4 + 5)*(41 + 13*a - 41).\nAnswer: -1274*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be (21300\/9)\/(1\/(-3)). Round l to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 6*c**4\/17 + 106*c**3\/17 - 3300*c**2\/17 + 64*c = 0. Calculate c.\nAnswer: -34, 0, 1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -2*j**3 - 65*j**2 + 14*j - 407. What is q(-33)?\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a**4 - 25*a**3 - 60*a**2 + 400*a - 320 = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 - -35093745.\nAnswer: 35093759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the third derivative of -v**4\/12 + 9*v**3\/2 + 2*v**2 - 63. List the prime factors of c(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 18*n**2 - 2*n + 1. Give f(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - u - 11 = 0, -4*u = -0*t + t - 10. Let f = 8 - t. Suppose 0 = f*g - 22. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, 25, 2, -127, -2\/9 in decreasing order.\nAnswer: 25, 2, 0, -2\/9, -5, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(2700) + -1 + sqrt(2700) + -3)**2.\nAnswer: -720*sqrt(3) + 10836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 37, 64, 81, 82, 61?\n\"Answer: -r**3 + r**2 + 31*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 20073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:09 PM and 2:26 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-6)\/(-4))\/((-4)\/(-1152)*4). Suppose -7*q + m = 3. What is the third derivative of -q*r**2 + 0*r**2 - 7*r**5 + 22*r**5 wrt r?\nAnswer: 900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqmiimimmmwiiiqmqi. Give prob of picking 1 m and 1 w.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4578 and 8694?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16198 and 448994?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 27199, 54400, 81601, 108802, 136003, 163204?\nAnswer: 190405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 447438?\nAnswer: 2, 3, 74573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + -2*sqrt(171) + -4 + sqrt(171) + -1 + 3 + -4)**2 + 3.\nAnswer: 12*sqrt(19) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.063 (b) 3\/10 (c) -2\/9169 (d) -1\/33 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - 3 - -6) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 2*q**2 + 1)*(-913 - 1022 - 1110 + 843 - 1230 - 1788) to the form d*q + p*q**2 + c and give p.\nAnswer: -10440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is r in 5*r**4 + 42*r**3 + 108*r**2 + 54*r - 81 = 0?\nAnswer: -3, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 + (51 - (-45 - -37)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14119*j**3*u + 702430441*j**3 - 3*j**2*u - 3791*u wrt u.\nAnswer: -14119*j**3 - 3*j**2 - 3791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 31288 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 187\/27840 and -71\/59856.\nAnswer: 1197120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -102 and -8797467?\nAnswer: 897341634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1910, -3287, -4664, -6041, -7418?\n\"Answer: -1377*c - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 279811578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 2934 to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 53200599 to the power of 1\/2, to the nearest integer?\nAnswer: 7294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 7090.675 weeks to minutes.\nAnswer: 71474004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 30551 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: Factor -8\/5*i + 6\/5 + 2\/5*i**2.\nAnswer: 2*(i - 3)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1072153 + -11807011\/11. Let d = -1209 - t. Calculate the common denominator of d and 34\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iillili.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1244782353 or 1244782355?\nAnswer: 1244782355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-74 - -26 - -15) + 23.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 19\/52 - -5\/13. Let s = -1370.4 - -1373. What is the closest to -2 in s, 4\/9, m?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -106, -211, -316, -421, -526, -631?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**2 + 1116*b + 9957. Calculate h(-9).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 392 divided by -56\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the third derivative of 5*d**8\/504 - 214*d**7\/945 + 247*d**6\/540 + 2*d**5\/135 - 13*d**4\/27 - 1806*d**2. Determine u, given that w(u) = 0.\nAnswer: -2\/5, 0, 2\/3, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the first derivative of -k**6\/2 - 176*k**5\/5 + 409*k**3 - 645. What is the third derivative of s(w) wrt w?\nAnswer: -180*w**2 - 4224*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 + 0. Let h(x) = -27*x**2 - 3*x + 7*x + 57*x**2 - 27*x**2 - 15. Is h(s) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 324674696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 23975 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = 3*l - 18 - 2, 5*g + 25 = 0. List the prime factors of (6 + -7)\/((l + -3)\/1497).\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5894 by 7.\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 938 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) be the first derivative of 7*r**3\/3 - 12*r**2 - 21. What is the second derivative of p(k) wrt k?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*w - 21 = 51. Is (-5 + 2559\/(-4))\/((-1)\/w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 12) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 994*d**2 + 2625*d**2 - 4*d**2 in the form j*d + u + o*d**2 and give o.\nAnswer: 3615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 10101000000001000 (base 2) to base 11.\nAnswer: 596a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 936 is divided by 100?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s**2\/3 - 23*s\/3 - 76\/3 = 0. What is s?\nAnswer: -19, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes after 2:48 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + 248 = m + 260, 5*m = -c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -20 + 20. Suppose -2*l + 1828 - 90 = q. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6\/35 - -1\/35. Let u = -0.095 + -0.105. What is the closest to -0.1 in u, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88.58 times 0.1?\nAnswer: 8.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b - 1. Let a(g) = -26*g - 5. Let x(d) = a(d) - 6*z(d). Let p = 5 - 6. What is the tens digit of x(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 143 = 4*o, 4*z + 8 = o + 28. Is (o + 31)*(-1 - 92) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 574500 is divided by 44190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 62, 86, 110, 134, 158, 182?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -154056 - -146.\nAnswer: -153910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 666517.6km?\nAnswer: 666517600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {e: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 7*u + 8. Let r be a(-5). Let x be (-3*12\/r)\/((-18)\/(-27)). Solve x*w + 13 = -j, 5*j = -0*j + 2*w - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -3*g + 9. Let s be n(-7). Let y be 6\/4 - s\/(-20). Let u = y - -39. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = 4*m - 14. Let n be ((-9)\/(-2))\/(m\/8). Let v be n\/(-30) + 388\/10. What is the highest common divisor of 26 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 87259 and 31666?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**3 - 3*q**2 - 29*q - 54. Let f be l(-2). Find the second derivative of u**3 - 10*u**3 - 50*u**3 - u**2 - u + f*u**3 - 5 - 176*u**3 wrt u.\nAnswer: -1410*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2807241810 + 0.\nAnswer: 2807241810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -53 - -56. Let f(l) = 5*l - 6*l - 7 + 3*l - d*l. Give f(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1078000?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13114, 26263, 39412?\nAnswer: 52561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 182 + -2006\/11. Sort x, 0.4, -2.\nAnswer: -2, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 428 divide 625852462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3502039 divided by 1.\nAnswer: -3502039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**2. Let v be k(-4). Let j(m) = -5 - v*m + 10*m - 2*m. What is the units digit of j(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 2*y + 2 = 0, -5*z + 10*z = y + 10. Suppose 6*p - 9*p = 0. Suppose p*f + 2*f = 2*i - 54, 49 = z*i - f. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 38243 - 1047?\nAnswer: 371eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 8085, 16132, 24165, 32184, 40189, 48180, 56157?\n\"Answer: -7*m**2 + 8068*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -220 or -216?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a + 4*u + 102, a + 2*u + 106 = 6*a. Calculate the lowest common multiple of 12 and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16435815 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 1873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 15*i**2 - 1259*i - 134. Calculate x(84).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from drdreemdrje.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from adjdb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 32 + -29. Suppose -4*d + 1 = 5*w - 9, d + f*w = 6. Suppose d = -l + 2*l - 130. List the prime factors of l.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -23*b**3 - 2*b**2 - 7349 - b**2 + 176*b**3 - 2*b**6 + 7354 wrt b?\nAnswer: -240*b**3 + 918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 83 a factor of 10458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i**5 - 1025*i**4\/2 + 8610*i**3 + 29605*i**2\/2 - 13535*i - 9360 = 0.\nAnswer: -117, -2, -1\/2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 38 minutes after 8:12 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -36*h**5 + 16*h**2*x**3 + 2*h*x**3 + 2*h*x**2 + 43 wrt h?\nAnswer: -720*h**3 + 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be 16\/24 - (-13)\/3. Suppose -5*m - 5*i - 30 = 0, -i + 1 = -d*m - 11. Sort m, -5, 28 in decreasing order.\nAnswer: 28, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1180 - -1229.9. Round u to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(225) - sqrt(225))\/(sqrt(50)\/sqrt(40)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*j + 29 - 3. Find the second derivative of 145*w - 30*w**2 + 7*w**j - 3*w**2 - 11*w**2 wrt w.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0\/(-5*6\/5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 951 + -266. Let r = k - 681. Let v be -1 + (-3)\/(6\/(-16)). Solve -5*n - 2*y - r + 1 = 0, 5*y = 2*n + v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 2*s + 2)*(10*s**3 - 50*s**3 - 24*s**3) - 2*s**4 + 111*s**2 - 111*s**2 + 7*s**3.\nAnswer: 126*s**4 + 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**2 + q + 1. Let c = 36230 + -36229. Let h(p) = 24*p**2 + 32*p + 32. Give c*h(l) - 32*i(l).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*f + 19*f - 25 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 2\/9, 4389\/5 in increasing order.\nAnswer: 2\/9, 1, 4389\/5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 51 - 2545?\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 96764 - -1441. Is (12\/18)\/(10\/p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 462407 to the power of 1\/2, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2011 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2.6 (b) -5 (c) -7 (d) 1\/4 (e) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f - 3*f + 2*f)*(-8*f**4 - 75 + 39 + 38).\nAnswer: 24*f**5 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 840, 853, 876, 915, 976, 1065, 1188, 1351?\nAnswer: 1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20343?\nAnswer: 3, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**2 - 7*t - 5. Let o be y(-5). Suppose 0 = o*c + c + 612. Let s = -31 - c. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 193*s**2 + 137*s**2 + 139*s**2 + 112*s**2.\nAnswer: 581*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2.3 + -0.1. Let w = -19.4 - o. Let b = w + 17.001. Round b to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4, 3, -4, -23, -60, -121?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 5*w - 1, -w - 4*v = 4*w - 22. Suppose -w*x + 0*x = 0. Suppose x = -q + 5*q + 16, 0 = -4*n + q + 53604. Round n to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -21, -58, -107, -174, -265?\n\"Answer: -g**3 - 30*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange v**2 - 79*v + 80*v + 2*v**2 to z*v**2 + y + q*v and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-5775)\/308*2\/(-5))\/(3\/17964).\nAnswer: 2, 3, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -171*w - 21*w**2 - 151*w + 322*w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 times 3.042?\nAnswer: -0.9126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -104*g + 852. Determine l(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 621 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -3*p**2 - 30*p + 31. Give s(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -369*h**2 + 0 - 5 + 367*h**2. Let b(u) = -10*u**2 - 26. Let c be (-2 + 8)\/(-3 - -1). Determine c*b(v) + 16*k(v).\nAnswer: -2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -595 - 1686 - 30 - 5*f**2.\nAnswer: -5*f**2 - 2311","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -4105759\nAnswer: 1\/4105759","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1197*a**4 + 83*a**2 - 976*a**2 - 541*a**2 + 254*a**2 wrt a?\nAnswer: -28728*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 288 + -113. Let f = h + -179. What is the smallest value in 0, f, 5, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) -1 (c) -6229163 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -33*i**3 + i**2 + 114*i - 82310 wrt i?\nAnswer: -99*i**2 + 2*i + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -210*o = 367*o - 9809 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1 + 207*i - 186*i + 558*i - 172*i**3 - 1 wrt i.\nAnswer: -1032*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.6 from 3199604.\nAnswer: 3199604.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*p + 388*p**2 + 7*p - 27*p + 4*p + 7*p - 381*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r = 3*r + 4*a - 272, 2 = a. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4678242 is divided by 195?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14621227 to the nearest integer?\nAnswer: 3824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 189 divided by 63\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 6 + 4)*(1 + 3 - 1)*(q - 3 + 3) - 13*q - 8 + 8 + 30*q - 4*q - 74*q to y*q + v and give y.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 6*b*p**3 - 6*b*p + 1565*b with respect to p.\nAnswer: 18*b*p**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (36 + -50 - -29) + -8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -148b + -17?\nAnswer: -14a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**2 - 1341*g - 2681. What is u(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 16 (base 9) to base 6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*a**3 + 21*a**3 + 349*a**3.\nAnswer: 337*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = q - 0*d + 15, 0 = -3*q - 2*d + 5. Factor 12*o**2 + 0*o**5 - 8*o - 12*o**4 + 7*o**5 - 10*o**q + 7*o**5 + 4*o**3.\nAnswer: 4*o*(o - 2)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*l**5 + 3*l**3 + l**2.\nAnswer: -l**2*(l - 1)*(2*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = 738 - 636. Let d(n) = -n**3 + 5*n**2 - 4*n + 3. Let j be d(4). Suppose m + k = j*m. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -6\/1117 (b) 0.5 (c) -1\/3421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-3)*2\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 41 + -21. Let p(x) = 12*x - 2. Let a be p(1). Suppose -5*h = -5*m + a, 0 = -4*m + 6*m + 4*h + n. Is -2 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that -3*f**5 + 3*f**4 + 366*f**3 - 2094*f**2 + 3093*f - 1365 = 0.\nAnswer: -13, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1125826 and 231920156.\nAnswer: 231920156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 52b (base 12) in base 13?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from qpqupqf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 5 + 0)*(0 + 1 - 2)*(0 + 1 + 0)*(2 + 0 + 0)*(2 - 3 - 2)*(0*h + h - 3*h)*(2 + 4 + 1).\nAnswer: -84*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 26406 (base 7) to base 4.\nAnswer: 1232112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -92 - 0. Let j be (-1)\/(4\/z) - -1. Determine h, given that 3*h**4 - 36*h - 6*h**2 + 15*h**3 + 0*h**2 - 6*h**3 - j = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40013 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 62972746243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2848 divided by -8.\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/(-12)*1*(-6)\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 114718149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*m + 82525 = -5*m. Let d = m + -23205. Round d to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 9681 * -0.3973\nAnswer: -3846.2613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*y = -3*h - 11*y - 26, -36 = 2*h + 4*y for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 117 - 137 = -5*z, i + 202 = 4*z. Let p = -29 + z. Suppose -4*l + 19 = -p. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 383723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**3 - t + 184 + 6*t**3 + 172 - 2*t**3. Does 47 divide w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 243, 5\/4, 7\/4, -447?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/9? (a) 2\/133 (b) -3\/7 (c) -103 (d) -3 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 2.051818 centuries?\nAnswer: 2462.1816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 4*k + 7 = 0, 37*r - 34*r = 5*k. Let g(c) = c**2 + 2*c + 2. Let n(d) = -2*d**2 - 5*d - 5. Determine r*g(v) + 2*n(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2672 bigger than 2672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -318*r + 316*r + 3086. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 82 < 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10834*v + 11474*v - 1280 = 0. Factor -10*q + 34\/3*q**v - 4\/3.\nAnswer: 2*(q - 1)*(17*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-14)*(-14)\/(-12)*-6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3524.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -203*m - 66*m + 11758 - 6076 + 6961 for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -48 + 107. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -2141700725*w**2. Let t(y) = -2*y**2. What is x(t(o))?\nAnswer: -8566802900*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 26617675, 53235364, 79853053, 106470742?\n\"Answer: 26617689*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -17357 + 30074. Let o = l + -12784.17. Let m = 67 + o. What is m rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 4*o = -128, 3*i = -5*o - 29 - 51. Let l be (4\/10)\/((-3)\/i). Suppose 4*x + l*k = -8, 2*k = 5*x - 3*k - 40. Solve -4 = -t - x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1583*v - 728 = 1587*v. Is v <= -190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 59, 1633, -5, 0 in decreasing order.\nAnswer: 1633, 59, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2740, 2787, 2908, 3139, 3516?\nAnswer: 4075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:36 AM and 12:11 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -61*n - 1 - 112*n - 66*n - 12*n**3 + 242*n to l*n + f + b*n**2 + p*n**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -37, 4, -3, 1, 3 in decreasing order.\nAnswer: 4, 3, 1, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bgx when three letters picked without replacement from {k: 1, b: 2, i: 4, g: 1, x: 4, v: 3}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 16718916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 76 + 369. Let u = s + -346. What is the remainder when u is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1616864636, 1616864635, 1616864634, 1616864633, 1616864632, 1616864631?\n\"Answer: -m + 1616864637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/10 + -4*6\/(-60).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -98 + 58 + (-10 - (-13 - -4)) - (-4 - -1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 5775 by -33.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-1)\/((40\/5)\/(-48992)).\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*q - 6*q + 7*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 46903137 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (-1 - ((12 - 3) + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -101\/432892716 and -83\/33.\nAnswer: 4761819876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eegmegggeg. What is prob of picking 3 g?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b - 0*b + 14. Suppose -5*o - m = -20, 3*o - b*m = -4*m + 12. Solve -10 = 2*s, o*s + 5 = -3*q - 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 864157, -147, 4 in increasing order.\nAnswer: -147, 4, 864157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 134 = -5*h. Let t be ((-272)\/(-72))\/(-17) + h\/(-198). Let w = -40 + 39. Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 273565 * -5.\nAnswer: -1367825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:29 PM and 7:57 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 - 1. Let f(w) = -15*w - 2 + o - 169*w**2 - 5. Let x be f(-8). Round x to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 104\/18 - 2\/36*-4. Let f(n) = n**3 - 5*n**2 - 8*n + 6. Determine f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {k: 2, a: 7, d: 1, r: 3, v: 3, z: 2}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.5 (b) -794648 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 2*f. Let t(q) be the second derivative of q**6\/720 - 2*q**4\/3 + 6*q. Let n(w) be the third derivative of t(w). Give n(b(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.1452 - 0.7452. Which is the fourth smallest value? (a) -1\/5 (b) 116 (c) i (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5948579137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -55 - -74. Let n be (-42)\/(-80) + q\/(-152). Which is smaller: n or 54?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -ab7d9 - 4?\nAnswer: -ab7dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 1, d: 4, a: 4, c: 7, k: 4}. Give prob of sequence kdah.\nAnswer: 8\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 141928423 to the power of 1\/2, to the nearest integer?\nAnswer: 11913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 6 = -0. Calculate the common denominator of (7\/21)\/(n\/(-16)) and 33\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/4, -3, -0.3, 0.00576981, 1 in decreasing order.\nAnswer: 1, 0.00576981, -0.3, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -10*n + 17. Let m(f) = -f + 1. Let g(d) = -i(d) + m(d). Let k be g(12). Let l = 162 - k. Calculate the highest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6 + 4. Let z be (-5 - (-3 + 1)) + 2 + -1. Let g be 5\/30*20*z\/(-10). Which is the second biggest value? (a) g (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -64 + 67 + 2 + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 3, m: 9}. What is prob of picking 2 m and 2 y?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 1 - 2)*(-2*z + 2*z + z)*(-4 + 2 + 5)*(-2*z**4 - 2*z**4 + 3*z**4).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 32 + -24. Solve 0 = 6*a - s*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -13*i**2 + 5*i**2 + 3 - 3 - 1. Let q be a(-2). Let m = q + 63. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1*(44 + 0)\/(-2). Let j = 121 + b. Suppose -3*k + j = -0*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/(0 - -1) + 11. Let n = -12 - -15. Suppose z - d = -n. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -2, 4, -34, -9, -11.\nAnswer: -34, -11, -9, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that -3*u**5 + 33*u**4 + 324*u**3 + 912*u**2 + 1056*u + 432 = 0.\nAnswer: -2, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17) + sqrt(17) + 0 + 4 - (sqrt(17) - sqrt(272)*2))**2.\nAnswer: 72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**4 + 1992*y**3 - 32304*y**2 - 99058176*y - 7418621952.\nAnswer: -3*(y - 444)**2*(y + 112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -2*d - 144, 3*d = 2*w - 463 + 176. Does 24 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 502 minutes before 8:32 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is (-2)\/4 - (-18525)\/38 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 516600 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -1243056 (base 7) in base 10?\nAnswer: -161937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -b**2 + 1331*b + 2*b**2 + 170*b + 1138*b + 520*b to n*b**2 + t*b + h and give t.\nAnswer: 3159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 563.8 rounded to the nearest ten?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 78*g - 243862 = 79760. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12021 - -2231312022?\nAnswer: 2231300001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 2*u**5\/3 - 118*u**4\/3 + 268*u**3\/3 + 51832*u**2\/3 - 17328*u = 0.\nAnswer: -18, 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the third derivative of -u**5\/30 - u**4\/4 - 16*u**2. Determine f(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + q - 12 = 0. Suppose 4*d + 0*d - 70 = -2*x, -q*d + 3*x = -39. Factor -8*z + d*z**3 + 2*z + 9*z**4 - 4*z**3 - 3*z**2.\nAnswer: 3*z*(z + 1)**2*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -12*n**2 - 61*n - 3. Calculate the smallest common multiple of 148 and d(-5).\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 2*q - 11 = 0, 7*o - 39 = 2*o + 2*q. Suppose -3*g + o = 1. Solve 0 = -5*d - g*u - 1, 7*d + 4*u = 2*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6041482, 6041472, 6041450, 6041410, 6041346, 6041252, 6041122, 6040950?\nAnswer: 6040730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 4.35799611 to 4 decimal places.\nAnswer: 4.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 21*a**2*m*y**2 + 2*a**2*y**3 + a*m*y**4 - 16*m*y**3 - 2*m*y + 3*y**2 wrt y.\nAnswer: 12*a**2 + 24*a*m*y - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 + 9 = g. Suppose -g*x + 45 = 4*t - 5*x, -5*t - 4*x + 72 = 0. Suppose -2*k = 2*n - t, 1 = k + n + n. Calculate the least common multiple of 5 and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l**3\/7 - 4*l**2 + 130*l\/7 - 200\/7 = 0. Calculate l.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -474, 889, 2\/11?\nAnswer: 889","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 + -8. Let n = -120 + 602\/5. Suppose -l = 4*i + 13, -8*l + 4*l + i + 16 = 0. What is the closest to n in l, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, t: 4, v: 1, z: 6, d: 1, a: 3}. Give prob of sequence zz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (d**2 - 4*d**2 + d**2)*(-4*d**3 + 2*d**3 + 4*d**3) + (2*d**3 + 3*d**4 - 2*d**3)*(-2*d + 6*d - 2*d).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = 449521143337\/290 - 1550070953. Let m = d + -9769\/5. What is the common denominator of -145\/12 and m?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8*w - 48 + 110 + 394*w**2 - 58 wrt w?\nAnswer: 788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.3 and -4589.5522.\nAnswer: -4589.8522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 270459 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 16*j**4 - 18*j**3 - 12*j**2 + 4*j + 490102 wrt j.\nAnswer: 64*j**3 - 54*j**2 - 24*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and 174?\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**2\/19 + 2*w\/19 + 40\/19.\nAnswer: -2*(w - 5)*(w + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 37671 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -205 or 19?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the first derivative of k**5\/20 + k**4\/8 - k**3\/12 - k**2\/4 + 6. Factor y(h).\nAnswer: h*(h - 1)*(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4\/(-8)*-1*-34. Let o(x) = x**3 + 17*x**2 + 14*x + 12. Let d be o(s). What is the remainder when 53 is divided by (-1)\/4*1 - d\/8?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2, 22, 80, 194, 382, 662, 1052?\nAnswer: 1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 810047 a multiple of 679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -6750 by 125.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 64079.\nAnswer: 139, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -49500 or -60098?\nAnswer: -60098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*k**3 - 3*k**3 - 4*k**3)*(1 + 0 - 2) + 4*k**3 - 3*k**3 + k**3 - 4*k**3 + 0*k**3 - k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + d = 10, -13 = 2*l - 4*d - 1. Let x be l\/(-1) - -3*3. Let t = 7 + -6. Solve -x - t = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 735.0845 kilograms in micrograms?\nAnswer: 735084500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1481, -1477, -1471, -1463, -1453?\nAnswer: -1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 473999 = y + n, 3*y - n + 0*n = 1422001. Suppose -j + y - 44000 = 0. Round j to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 3*s - 1 = 0, 4*y - 5*s + 8 = y. Let f be 2\/2 - (y + 0). Suppose 4 = f*m - 4*m. Is -2 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 98 a factor of 2548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the first derivative of -7*j**2\/2 - 364*j + 137. Let s be b(0). What is s rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 40 = -3*g + 3*w, 24 = 3*g + 3*w. What is the greatest common divisor of g and 692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -12431*b*r**3 + 4*b*r**2 + 92*r**2 wrt r?\nAnswer: -74586*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, p: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = 2*f + 24 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*r + 3601 = -3*y + 32*r + 3778, 3*y - 4*r + 215 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 4*z**3 - 6*z**2 - 2*z + 9. Let k(g) = 3*g**3 - 6*g**2 - 3*g + 9. Let h(d) = -2*i(d) + 3*k(d). What is the tens digit of h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -36164, -144616, -325362, -578396, -903712?\n\"Answer: q**3 - 36153*q**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 312711?\nAnswer: 3, 7, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 103*v - 2 - 3*v**2 - 103*v + 2*v**3 as j*v**2 + t*v**3 + z + y*v and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -590*f - 60. What are the prime factors of r(-1)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(18) - (1 + sqrt(32)))*6.\nAnswer: -6*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5.978502 and 0.4?\nAnswer: -2.3914008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1502 is divided by 73.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -94, 14, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -101*f + 882. Let g be o(-17). Which is smaller: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1034?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -56 * 305\nAnswer: -17080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 554784689 a multiple of 5865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 16 and 35.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 4 = -w. Suppose 77*z - 27 = 50. What is the highest common divisor of w and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -651 by -31.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-2\/5)\/n)**47*n*n*n**5\/n*n\/n**4 assuming n is positive.\nAnswer: n**(-314\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3370)\/1011)\/((-110)\/44*8\/15)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in 33898477, 67796975, 101695473, 135593971, 169492469, 203390967?\nAnswer: 237289465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kb when two letters picked without replacement from kbbkb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -103 + -11 + -14 + 37?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 9*m**2. Let q be f(2). Calculate the highest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-1\/3)*v)\/v*v\/v**(-1\/9)*v*v*v**22*v\/(v*v**(2\/9)*v) assuming v is positive.\nAnswer: v**(212\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.4 + 4.4. Which is the second biggest value? (a) 0 (b) -1\/8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = x**2 - 18*x - 654. Let g be q(36). Sort -2, -5, 16, g in increasing order.\nAnswer: g, -5, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (21\/(-140))\/(-1*3\/12)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 100361878.\nAnswer: 2, 50180939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 30*o**3 - 10*o**2 - 5*o + 505. What is the hundreds digit of k(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -5*t**2 - 2*t + 344. Let g be n(8). What is the nearest to -1\/4 in 2\/7, 16, g, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -15474499*u**3 - u**2 + 2*u + 4. Let w be m(-1). What is w rounded to the nearest one hundred thousand?\nAnswer: 15500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hx when two letters picked without replacement from {x: 1, h: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 302327208 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4306 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 13269 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -243*u + 1620 = 1085 - 4811 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor i**3\/4 - 83*i**2\/4 - 465*i\/2.\nAnswer: i*(i - 93)*(i + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -424, -428, -434, -442, -452, -464?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y**(-25)*y)\/(y*y**(-18)\/y))**(1\/21))**34 assuming y is positive.\nAnswer: y**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -59*n + 74*n - 177*n - 20*n - 246*n to f + i*n and give i.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g - 3*g + 2*g)*(-2 - 1 + 1)*(-7*g + 141*g + 95*g - 56*g).\nAnswer: 692*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1112110201000 - 0?\nAnswer: 1112110201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -173*p - 1047*p + 8248 - 414280 = 4932*p for p.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence emue when four letters picked without replacement from meufuuuekekuk?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 201835990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 146, 305, 464, 623, 782?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 364448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) -430 (b) -1 (c) -1\/7 (d) 0.1 (e) -3 (f) -469\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**2\/4 - 8329123*n\/2 - 69374289949129\/4.\nAnswer: -(n + 8329123)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:16 PM and 8:40 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r**3\/9 + 750628*r**2\/9 = 0 for r.\nAnswer: 0, 187657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 119890 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2056622533.\nAnswer: 7, 23, 43, 419, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 13) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -85\/438 and -51\/730?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 59938533 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 17 - 16. Is 22 a factor of (f - -3) + -4 + 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j - 2*w - 8 = 0, -12*j - 14 = -16*j - w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: ((-9)\/(-3))\/(-3)*(0 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 38883470?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -615, 0.2244, 13.\nAnswer: -615, 0.2244, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14014, -28010, -42006, -56002?\nAnswer: -69998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 63416322 + -63415652.000577. Let r = -670 + m. What is r rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 - 10 = -3*h - 3*y, h + 3*y = 13. Suppose -h*r + 11 = -17. What is the highest common divisor of r and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-5)\/((-20)\/(-136))*3\/(-3). What is the greatest common factor of 51 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 144 is divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 5073017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 385 = 2*l + 5*l. Let y be 3*(-3 - l\/(-15)). What is the second derivative of -4*h + 3*h + h**4 + 2 - y wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - (5 - 2))*-38. What is the highest common divisor of 95 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.21 - 0.21. Let t be ((-130)\/(-195))\/((-7)\/6). Which is the closest to t? (a) w (b) 0.1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3*418.4\nAnswer: 1255.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (6\/(2\/(-12)*(-405)\/30))\/2\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00229134 to five decimal places.\nAnswer: 0.00229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the third derivative of 27*z**2 - 11\/24*z**4 + 0 + 1\/2*z**3 + 0*z. Let o(v) = 5*v - 2. What is -3*l(t) - 5*o(t)?\nAnswer: 8*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z + 1. Give u(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the second derivative of r**4\/4 - 10*r. Let t(d) = -29*d**2 + 9*d + 3. Let z(w) = -60*w**2 + 15*w + 5. Let o(g) = 5*t(g) - 3*z(g). What is h(o(p))?\nAnswer: 3675*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2143323 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 103796*d**2 + d + 461555*d**2 - d.\nAnswer: 565351*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = -3*k + 75, 0 = 7*k - 5*k - 2*y - 30. Solve 4*f + 64 = k*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 2*c = 52, -7 - 1 = -2*c. Solve 0 = 2*d + 3*d + b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**3 + 4*p**2 + 3*p + 3. Let h be q(-2). Calculate the highest common factor of 40 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4418\/3 + -83663\/57. Let s = -449\/114 - r. Find the common denominator of 16\/5 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-70)\/(-20))\/((2\/(-20))\/((-1)\/5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (21\/(-70))\/(10\/20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 10*y**3 - 5*y - 1. Suppose 956 - 986 = 6*h. Let s(j) = -15*j**3 + 7*j + 1. What is h*s(f) - 7*t(f)?\nAnswer: 5*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*j + 3258 = 23*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 2*q**2 - 434*q + 23290. Give l(120).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) - (sqrt(76)*2 - sqrt(76)))\/sqrt(4) - (-4*(2 + sqrt(19)))**2.\nAnswer: -368 - 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 101560 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f**2 + 46*f - 923. Give t(40).\nAnswer: 2517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6818 - -6820. Suppose 0 = g + g - 4. Solve 0*n + g*a + 10 = -2*n, -j*n - 19 = 5*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**2 - 3499*t - 1423630.\nAnswer: -(t + 470)*(t + 3029)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 257791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -9 + 6 + 4\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (0 - 0)\/(1 - 0). Let h be -2*(45\/(-6) - i). What is the highest common divisor of 90 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -2*f**2 + 11*f + 3. Give d(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1024*z + 11*z**3 + 8*z**3 - 30*z**3 + 4*z**3.\nAnswer: -7*z**3 - 1024*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes before 10:19 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 203154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 687.21618 hours to weeks.\nAnswer: 4.0905725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 40*j**2 - 78*j + 162. Calculate the remainder when v(8) is divided by 124.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -150, -136, -110, -66, 2, 100?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(342)\/(sqrt(18)\/sqrt(3)*6))\/((sqrt(9) + sqrt(18)\/sqrt(2))\/sqrt(3) + (sqrt(72)\/sqrt(2))\/sqrt(12)).\nAnswer: sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-5227)\/(-9) + -1*(-6)\/27. Suppose 12*b - k = 8*b - 5*p, 2*b = 4*p + 310. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 464 and 133760.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-391)\/(-4)*412\/6. Let k = p - 6691. Find the common denominator of 31\/2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -48339 take away 2286203?\nAnswer: -2334542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -2*v**4 + 17*v**3 - 35*v**2 + 31*v - 11. Let u(k) = 4*k**4 - 35*k**3 + 69*k**2 - 61*k + 23. Let c(q) = -15*i(q) - 6*u(q). Factor c(a).\nAnswer: 3*(a - 3)**2*(a - 1)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, u: 1, h: 1, l: 1, f: 3}. What is prob of sequence mh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -2*h + 10. Determine p(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 197 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 6 + 0 + -2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/((f**1*f)\/f))**(6\/29)\/(f**(-2\/15)\/f**(-1)) assuming f is positive.\nAnswer: f**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4.01 - 0.01. Let z = -6 - -4. Which is the nearest to z? (a) 3 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-16)\/12)\/((-14)\/(-3) - 6). Suppose 3*m + 2 = 17. Solve a = -3*q - m*s - 4, -s - 19 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -483, -488, -503, -534, -587, -668, -783, -938?\n\"Answer: -d**3 + d**2 - d - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -4\/495 and -38\/1725.\nAnswer: 56925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 6*d**3 + 8 - 5*d**3 - 5 + 5*d - 2*d**3 - 2*d**2. Let f be 4\/(-5 - -1)*3. Calculate z(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0*(-71)\/10579)\/(12\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 + 28 = -3*h. Let t = h - 110. Let s = t - -168. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 480.3852 millennia to decades.\nAnswer: 48038.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -2*k. Let f(j) = 40*j - 1. Let u(l) = -f(l) - 2*y(l). Let z(t) = -t. Determine u(z(i)).\nAnswer: 36*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) -0.9 (c) 0 (d) -3\/8 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -7*m + 2 + 3*m**2 - 2*m**2 + 3*m**2 - 2*m**2. Let l(d) = -5*d**3 - 4*d**2 + 4*d + 2. Calculate the remainder when h(7) is divided by l(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 126 divided by 2637\nAnswer: 14\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1241 take away -4373?\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*q**2 + 3*q**2 + 0*q**2)*(1319 - 1319 + 1650*q) + (-2*q**2 + 3*q**2 - 3*q**2)*(q - q - 2*q).\nAnswer: 9904*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a hour in minutes?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**2 + 6*r - 10. Let w be y(8). Let u be (-498)\/8 - (-3)\/12. Let p = w - u. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2044 = -p - 7265. Find the common denominator of 3\/(-5) + p\/(-460) and (-2)\/(-5) + 352\/45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-4)\/(-10))\/(8\/28180). Suppose 0 = -9*h + t - 266. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z = -48, z - 1816 = -8*t - 4*z - 1896 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -8709500 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 489943\/8 - 61237. Let k = 298213\/18 - 16560. Find the common denominator of f and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -3*z**2. Let l(x) be the first derivative of -9 - 1 + x**2 - 6*x**2 - 15. Calculate l(i(j)).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1446143148 a multiple of 9129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2471139 is divided by 129?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -20*y. Suppose -1378 = -d + 1703. Let k(o) = d - 3081 + o. Determine x(k(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 310 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 4*f**2 - 7*f + 1. What is the least common multiple of g(3) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 less than 15.42?\nAnswer: 9.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the first derivative of 3\/14*x**4 - 11 - 18\/7*x - 2\/7*x**3 - 15\/7*x**2. Factor q(c).\nAnswer: 6*(c - 3)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 22\/15*c**4 + 38\/15*c - 6\/5 - 4\/15*c**2 - 2\/15*c**5 - 12\/5*c**3 = 0. Calculate c.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 20 = w. Solve -4 = 5*i + c, -4*c = 3*i + 20 - w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 57173377 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(105)*-2)\/sqrt(7) - sqrt(15) - sqrt(15))\/(sqrt(35)\/(sqrt(7)*-2)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 7 - 0 - 2 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be (4 + -2 + 1 - 2)*4. Suppose -i + 7 = -5*p + 12, i - v*p = -6. Put 0, i, 2, 5 in ascending order.\nAnswer: i, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 11.35 and -2.\nAnswer: -22.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/420, 2\/7, 0.1, 2\/3, 0.08, 2 in descending order.\nAnswer: 2, 2\/3, 2\/7, 0.1, 0.08, 1\/420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1, 2, -101 in descending order.\nAnswer: 2, 1, -1, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -137107538*j - 209269305 with respect to j.\nAnswer: -137107538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1266445 and 69.\nAnswer: -87384705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -10714*b**2*n**3 + 3*b**2*n - b**2 - 879*b + 14 wrt n?\nAnswer: -32142*b**2*n**2 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(-4))**(-37)*(w**3)**(-36) assuming w is positive.\nAnswer: w**(-293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 9812120 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1387.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -t**2 - 3*t**2 - 6*t**3 + 0*t**4 - 2*t**4 + 7*t**3 + 2 + 2*t in the form o*t**2 + b*t**3 + c*t + a*t**4 + m and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d**2\/25 - 858*d\/25 + 172\/5 = 0 for d.\nAnswer: -430, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5 + 15. Suppose 0 = 15*p - q*p + 115. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 264 divide 62583541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l**2\/3 + 1109008*l\/3 + 9610952 = 0. Calculate l.\nAnswer: -554478, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 - 5 = 3*q. Solve 5 + 10 = -q*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6892 - -6973. Solve -4185*f = -4194*f + a for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:34 PM and 3:56 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f + 8. Let z be o(-11). Suppose 4*q = -5*r - 32, -3*r + 5*q - z = 15. Is 853\/9 + r\/(-36) 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 72305 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 271719 and -0.308?\nAnswer: -83689.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the second derivative of -2*w**3\/3 - 14485*w. Let h(q) be the first derivative of 11*q**3 + 2. Calculate h(y(c)).\nAnswer: 528*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.5, -1158, 41, -1, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1709 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that z**5\/4 - 861*z**4\/4 + 163819*z**3\/4 + 9343653*z**2\/4 + 19453900*z + 17159157 = 0.\nAnswer: -37, -9, -1, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from unuuuuuuuuuuununuuuu. Give prob of picking 3 u and 1 n.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -626, -602, -564, -512, -446, -366?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 2*w**3 - 3*w**2 - 3*w - 3. Let c be u(4). Suppose -5*f + 600 = -c. Suppose 2*y - 422 = -2*q, -5*y - 4*q + 1187 = f. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*q**3 - 3*q**3 + 4*q**3 + (q - q + q**2)*(5 + q - 5) + (q - q - 2*q**2)*(-q + 2*q + 2*q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -813 + 176 = 23*x + 26*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * -24.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 746, 1638, 2530, 3422, 4314?\nAnswer: 5206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/18 and (-8 - -26)\/6 - (-734)\/(-120).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 + 4*b**2 - 10*b. Let s be u(-8). What are the prime factors of (-581)\/(-11) + (-32)\/s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) be the third derivative of q**5\/15 + q**4\/24 - 5*q**3\/6 - 3*q**2. List the prime factors of t(-4).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/4*-18*(-1)\/3. Let c = -1\/26 + -19\/13. Is q bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 133282488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = 12 - 8. Let o be (-15)\/y - ((-22)\/8 - -2). Is (-88215)\/(-21) + (-6)\/63*o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 12733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the third derivative of 0 - 1\/20*v**5 + 0*v**3 + 0*v**6 + 0*v + 1\/210*v**7 + 0*v**4 + 5*v**2. Find the third derivative of u(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**2 - 7*k + 10. Let u be q(6). Suppose u*n - h - 2919996 = -0*h, -3*n = -3*h - 2189988. Round n to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the second derivative of -s**6\/210 - s**5\/140 + 5*s**4\/42 + 2*s**3\/21 - 12*s**2\/7 - 298*s. Let f(v) = 0. What is v?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1419971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-1\/3)\/n)**35\/(n**(7\/4)*n*n*n*n**7*n) assuming n is positive.\nAnswer: n**(-713\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 65 + 12*i**3 - 11*i**3 - 70.\nAnswer: i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 3*z**2 + 578*z - 1728. Suppose 5*d + 6*n = n + 315, 0 = -2*d - 5*n + 126. Calculate the remainder when d is divided by b(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/426516 and -37\/2878983?\nAnswer: 11515932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 5 * -0.7459\nAnswer: -3.7295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 22*q + 18*q + 102 = 0, 0 = w - 3*q - 21. Suppose -2*z + 537 = 3*u - 7*z, -5*z + 855 = 5*u. Calculate the remainder when u is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 21\/49 - 12\/28. Solve 5*m - 3*h - 21 = s, 3*h + 13 = m - 2*h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 136 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 + 0. Suppose d + 10 = 5*m - j*d, 0 = 5*d + 25. Let f = -2 + m. Is -2\/5 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(((sqrt(1872) - (sqrt(1872) + 1)**2) + sqrt(1872))*1 + 1)*-6.\nAnswer: -22464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(136) - (sqrt(136) + (sqrt(136)*-1*-6 - sqrt(136))) - (sqrt(136)*1*-2 + sqrt(136)))\/(6*(sqrt(32) - -4*sqrt(32))).\nAnswer: -sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*g**4*r - 18522*g**4 + 12*g**3 + 3*g**2 + 13*g - 6*r + 1793 wrt g.\nAnswer: -72*g*r - 444528*g + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Are 22 and 4668\/217 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6820708109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**2 - 3962*y + 3039969. Give d(658).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -193483119 by -2.\nAnswer: 193483119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 19234690487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, -115, 1, -64, 6 in ascending order.\nAnswer: -115, -64, 1, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o**3 - 1610*o**2 - 106140*o + 3935880 = 0. Calculate o.\nAnswer: -174, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: ((6\/78)\/((-28)\/(-182)))\/(900\/(-40))\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -41 + 48. Factor x*l - 38*l**2 + 39*l**2 - 2*l - 2*l.\nAnswer: l*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24.43193us in seconds?\nAnswer: 0.00002443193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 0 + 1)*(1 + 2 - 4)*(19 - 171 - 228) + 3 - 2 - 3)*(-3 + 3 + 2*q**3).\nAnswer: 756*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 19240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 - m**2 + 4. Suppose -2*s - 2 = z, 3*s + 2*z = -z - 3. Let f = s + 1. Determine b(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -989\/14 - -71. Calculate the common denominator of f and -31\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 304 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -23 + 24. Is 20 + -5 + s*4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -10*n + 54*n - 1 - 28*n as c*n + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1514644*o - 2536220 wrt o?\nAnswer: -1514644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 45880.45l in millilitres?\nAnswer: 45880450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from {o: 2, r: 1, v: 1, x: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the third derivative of -j**4\/6 - 2*j**3 + 161*j**2 - 2. Let u(v) = 3*v**2. What is p(u(m))?\nAnswer: -12*m**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4066 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (64 - 56) + (-12 - (-5 - -10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -13, -4\/7, -18?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 16463 minus -1645946?\nAnswer: 1662409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:40 AM and 2:23 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kjk when three letters picked without replacement from knjknjjj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 3, q: 7}. What is prob of sequence qmqq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-1\/9)*d**(20\/9)*(d\/d**(-6\/5))\/d**23 assuming d is positive.\nAnswer: d**(-841\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -73*c - 81*c + 150 = -124*c. Solve -2*p + 5*x + 19 = 0, 5*p - c*x = 10*p + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -133 + 268*f**2 + 383 + 211*f**2 - 115 - 135.\nAnswer: 479*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*a = 6*a + 14. Let m(u) = -3*u**3 + 37*u**2 - 10*u - 10. Let d be m(12). What is the greatest common factor of d and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*o + 4*o - 5*o)*(-o + 2*o**3 + o) + o**4 - 2*o**4 - o**4 - 33*o**4 - 21*o**4 - 10*o**4 + 4*o + 2*o - 108*o**4 - 3*o - 3*o.\nAnswer: -170*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/3 (b) -0.014 (c) 2\/25 (d) 40 (e) -78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**2 - 4*d + 95. What are the prime factors of z(-10)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 20*d + 16*d = -14, k + 3*d - 11 = 0. Which is smaller: 3\/356 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 6\/25 of a minute?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -72 + 34 + 10 - -4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 172*f - 15 = 157*f. Solve -4*u + 0*u = -h - 3, 3*u + f = 4*h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 35941.86mm to meters.\nAnswer: 35.94186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 53541 is divided by 1278?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 5:24 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/5 + (-39644)\/(-765) + -52. Let x(r) be the third derivative of 0*r + 3*r**2 + 1\/15*r**3 - f*r**4 + 1\/450*r**5 + 0. Factor x(l).\nAnswer: 2*(l - 3)*(l - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 180, 1\/4, 2\/3, -0.09, 2.\nAnswer: -0.09, 1\/4, 2\/3, 2, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 571809 is divided by 1895.\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*y**3 - 16*y**3 + 0*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -17*x - 67. Let t be k(-4). Put 1\/2, 0.02, 0.3, t in decreasing order.\nAnswer: t, 1\/2, 0.3, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 24.0714739 to 3 decimal places.\nAnswer: 24.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 + -8 + 8 - -11) + -15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 6 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 21 - 20.8. Which is the nearest to -2\/3? (a) v (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (1 - (6 + -4)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -1077\/284 at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 51208 is divided by 157?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 26759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10906 + -3.\nAnswer: -10909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1228, -2779, -4644, -6823, -9316?\nAnswer: -12123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -152 - -363. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - 0 - 21) + -49 + 46 + (-18 - -26).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n**5\/7 - 675*n**4\/7 + 491*n**3 + 25059*n**2\/7 - 69100*n\/7 - 40800 = 0. Calculate n.\nAnswer: -680, -4, -3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 942*w + 360 = 897*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10001 - -10010001000111000101110011?\nAnswer: 10010001000111000110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**3 - 6*t**2 + 3*t - 1. Let x(n) = n + 6. Let b = -27 + 27. Let z be x(b). What is the tens digit of m(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (19*l - 5 + 5)*(-7*l - 8 + 8) + 0*l**2 - 24*l**2 + 5*l**2.\nAnswer: -152*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 16 - 12. Let x(t) = 3*t**2 + 2. Let n(c) = 11*c**2 - c + 9. Let r(i) = -n(i) + 4*x(i). Let b(w) = -2*w**2 - 4*w + 5. Determine o*r(z) + b(z).\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.193416693 rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -29*p**4 - 23203*p**2 - 2894018*p + 3.\nAnswer: -348*p**2 - 46406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(875) + (-1*(-2*sqrt(875) + sqrt(875)) + sqrt(875) - sqrt(875)))*-6)\/((sqrt(8064)*1)\/(sqrt(8) - sqrt(48)\/sqrt(96))).\nAnswer: -15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 5870 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o**3 - 81*o**2 + 152*o + 474. Let x be u(79). Is x bigger than -20\/1069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17 + 9 + -12 + -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes after 4:43 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -93003 - -2139074\/23. Calculate the common denominator of y and (1 + 4)\/((-42)\/10).\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 3, i: 1, e: 2, q: 1, x: 1, o: 3}. Give prob of sequence ei.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -15 divided by -952\nAnswer: 15\/952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61632 = -3*u + 3*v, u - 2*v = 3*v - 20528. Let t = u + 31425. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**1\/b*b)\/(b*((b\/(b**(-12)\/b))\/b)\/b*b)*(b*b**(2\/53))**(-23) assuming b is positive.\nAnswer: b**(-1901\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i be (5 + -5)*1\/1. Suppose -z - 8 + 10 = i. Let m(a) = 11*a - 12. Let b(j) = -3*j + 3. Let r(u) = z*m(u) + 9*b(u). Differentiate r(v) with respect to v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*z - 5*z + 36 = 0. What is the units digit of z\/((-12)\/(-22))*-34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 86981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -18? (a) 8 (b) -3 (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2 + 0)*2 + 2\/2. Solve -f*q = 17 + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**2 + 7*t + 5. Suppose i = -3*i - 36. Let u(c) = c**2 + 9*c + 5. Let p be u(i). Let w = p - 9. What is y(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:27 AM and 4:55 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -30 divided by -65\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - (-10 + 11 + 1)) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 7\/10200 and -47\/8400.\nAnswer: 142800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 121*k**4 - 11*k - 66. Let b(g) = -24*g**4 + 2*g + 13. Let c(z) = -11*b(z) - 2*m(z). Find the first derivative of c(p) wrt p.\nAnswer: 88*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 153 + -118. Find the third derivative of -17*d**2 - 39*d**3 + 25*d**3 - i*d**3 + 4*d**2 wrt d.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9227721493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/18*54\/(-2520)*-14?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {b: 1, j: 2, i: 2, e: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**3 - 20*t**2 - 4. Let k be w(20). Which is the second smallest value? (a) k (b) -1\/3 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve p + 44562 = 2*a + 44566, -5*p - 5*a = -20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 16.49364 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27107 is divided by 976?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 274925*d - 7148069. Calculate j(26).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o + 4*t + 4 = -o, 3*o - 4*t + 158 = 138 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**2 + 7*p - 4. Suppose -4*w + 13 = -15. Let m be u(w). Which is the closest to -2? (a) m (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the second derivative of a**8\/3360 - a**6\/90 + 13*a**4\/12 + 21*a. Let h(o) be the third derivative of u(o). Suppose h(b) = 0. What is b?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**0\/w*w*w)**(-1\/12)*w**(-1\/4)*w**6 assuming w is positive.\nAnswer: w**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1567*m + 175*m + 631*m.\nAnswer: 2373*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.06 + -0.64. Let b = -1.3 - -0.675. Let s = l - b. Round s to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1122635 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/5 and -93\/2030?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -4\/5 (b) 0 (c) 186\/17 (d) 1 (e) -1\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.024, 2, -4?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1172 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -271\/17608 + -5\/568. Let h be (-2)\/(-8)*1 - 4\/1116. Let u = w + h. What is the third biggest value in u, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -12395*d + 2249320 - 873475 for d.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-1\/9)*r**1)\/(r\/(r*r*r\/(r*r**(1\/4)\/r)))**(-2\/43) assuming r is positive.\nAnswer: r**(625\/774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 254.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence smnr when four letters picked without replacement from {m: 7, r: 2, n: 4, s: 1}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b**3 + 35*b**2 - 7*b - 93. Let d be g(-35). Calculate the greatest common divisor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -87 - 86 + 182 + 2*b**2 as j*b + t + z*b**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000003255 to seven dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 22962413 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.2*49\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:37 PM and 5:54 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and 395.221?\nAnswer: -395.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14 + -13 + (1 - -71) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2 + 0)*(-1 + 0). Suppose -3*i - b*c - 2 = 0, 4*c + 20 = -c. Solve 2*g - 2*y + i = -2, 2 = -g - 3*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -11*a**3 - 628*a**2 - 124*a - 3807. Determine m(-57).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 172107 - 172100.80808. Let c = -6.085 + x. Let k = c + -0.11. What is k rounded to four dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 59 - 61 - 15743*v**2 + 15763*v**2.\nAnswer: 20*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in fourty-nine quarters of a millennium?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-34)\/12 - 1\/6. Let s be (-3 + 3)\/4 - j. Calculate the greatest common factor of 12 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 6813 + -2?\nAnswer: 6811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000004249447 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**2 + 128. Let q(t) = 1058*t. Calculate p(q(c)).\nAnswer: -1119364*c**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10423 = 55*a - 2007. Does 119 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -84, -598, -1954, -4572, -8872?\n\"Answer: -70*n**3 - n**2 - 21*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k = 2*m - 6, -2*m + 7*m = -2*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.05 or 47688559?\nAnswer: 47688559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 8, 2\/5, 3, -2, -291?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 782*l**2 - 46*l**2 + 652*l**2.\nAnswer: 1388*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.004156g to nanograms.\nAnswer: 3004156000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/254945 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 276349 + 5328828\nAnswer: 5605177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(52)*1.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i**3 + i**2 + 35*i + 34651. Is s(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhphhyyy. Give prob of sequence yyhh.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -3, 3, 4, 103 in descending order.\nAnswer: 103, 9, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.116 + -53.884. Let f = -54.02 - h. Which is the nearest to 1\/2? (a) f (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 9*k**3 + 39*k**2 - 27*k - 17. Let l(w) = -11*w**3 - 44*w**2 + 28*w + 17. Let d(c) = 6*j(c) + 5*l(c). What is d(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/5 or 1016?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**2 + 1. Let i be d(-3). Suppose 0 = -4*t - t - i. Sort 2, t, 5 in descending order.\nAnswer: 5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -125*n**5 + 15*n - 6.\nAnswer: -2500*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**3 + 4*l**2 - 4*l + 4. Let j(g) = -g**2 - 29*g - 23. Calculate the remainder when j(-25) is divided by n(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35034662 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1073)\/(-7) + 10\/(-25). Let h = x - 723\/5. Find t, given that 4\/7 - h*t**2 - 8*t**5 - 6\/7*t + 62\/7*t**3 + 54\/7*t**4 = 0.\nAnswer: -1, -2\/7, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**3 - 2*h**2 + 51*h - 2. Calculate q(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 2*a - 9. Let f be t(6). Let x be (f\/3)\/((-1)\/(-5)). Let q = -5 + x. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a**(-1\/2)*a)\/a)**(1\/6)*(a*a**0\/a)**(-9))\/((a*a\/(a*a**(-1\/14))*a*a*a**(-7))\/(a\/a**(2\/7)*a*a*a**(2\/7))) assuming a is positive.\nAnswer: a**(575\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**3 - 22*l**2 + 23*l - 23. Let t be v(21). Suppose -2*g = 3 - t. Solve 3*k = g*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 175*k + 1. Let w be f(5). Let g = w + -536. Suppose h - 85 = 5*v, 4*h - 3*v = v + g. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -33 + 9.8. Let b = q + 16. Let x = b + 7.19917. What is x rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 462300919 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**2 - 2*h. Let m(t) = -t**2 - 2*t. Let k(s) = -5*a(s) + 6*m(s). Factor k(g).\nAnswer: -g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 98.32385 nanometers?\nAnswer: 0.09832385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0127867 rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes after 8:17 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 2*i - 2*i**2 + 2*i + 1 - 6*i. Let x be t(1). Suppose z = -0*z. Sort x, z, -4 in descending order.\nAnswer: z, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1896292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.6 + 0.6. Which is the nearest to r? (a) 3 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-47)\/(-94))\/((-2)\/(-700) + 0). Let c = a - 351\/2. Let u = 0.8 - -0.2. What is the closest to 1 in c, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - 1)*(3 + 2 - 2)*(19*d**2 - 7*d**4 - 19*d**2) to the form m*d**3 + b*d**4 + z*d**2 + s*d + v and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/(-149 + (-210840)\/(-1410))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8999.7 + 8997. Put 0.5, -1\/5, k, 3, -3 in ascending order.\nAnswer: -3, k, -1\/5, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 2*m = -8, -5*v + 2*v - 5*m = 20. Solve -s + 7 = -2*j, s + 3 = -v*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*n + 160 = -3*n. Calculate the highest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*d - 2*l + 26, 5*d - 11 + 28 = -l. Sort d, 5, -2 in descending order.\nAnswer: 5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 2*o - 1. Let m(z) = -5*z + 45. Let j(i) = m(i) - 3*s(i). What is the remainder when j(-5) is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 7*x - 6*x - 4 + 4. Let t(f) = 11*f + 56. Let z(a) = -5*j(a) + t(a). Let h be z(-9). Solve -20 = 5*o - h*s, o = 2*o - 3*s + 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5400)\/(-891) + (-9 - -3)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - -17) + -5 + -2 + 3 + 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 10033, 3614, -7081, -22052, -41299, -64822, -92621?\n\"Answer: -2138*n**2 - 5*n + 12176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -103030 + 102110?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.3? (a) -0.2 (b) 0 (c) 17.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-2\/3))**(-10)\/((z*z*(z**(-7)*z*z)\/z)\/(z*z**(2\/33)\/z*z*z))*((z**(-2\/9))**(-1\/2))**(-2\/29) assuming z is positive.\nAnswer: z**(36518\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = 2*p - 16, 0 = 3*p - 4*u + 8 - 32. Let i(d) = -d**2 + 1. Let z be i(-1). Suppose z = 4*k + p - 28. 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 the value of (-4)\/9*((-1125)\/(-30))\/25?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 19226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**2 + 6252*p + 4092138.\nAnswer: 2*(p + 933)*(p + 2193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 2, n: 3, a: 4, o: 1, z: 1, b: 4}. What is prob of picking 2 n and 1 b?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5379391 is divided by 6219.\nAnswer: 6175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1278?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1057199099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 140 divide 19393111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x + 0*l + 4*l = 12, -10 = -3*l + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 29317373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 63867, 127729, 191549, 255327, 319063, 382757?\n\"Answer: -21*y**2 + 63925*y - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (y + y - 4*y - 3*y + 2*y + 5*y + (-y + 2 - 2)*(-3 - 3 + 5))*(19 + 18 - 38) as i + w*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/(-10)*1\/4*2*(-443365)\/(-4667)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + (sqrt(30)*2)\/sqrt(6))*4)**2 + 3.\nAnswer: -256*sqrt(5) + 579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 4 - 2*t**2 - 5 + t**3 + 3. Let u be k(2). What is the biggest value in u, -3\/2, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9, 45, 105, 189, 297?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) be the third derivative of -q**6\/120 - q**5\/10 + q**4\/6 - 5*q**3\/3 + 142*q**2. Suppose 3 = 3*v + 24. Calculate j(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1741848 to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -2*x + 8225, 2*y - 9 = -15. What are the prime factors of x?\nAnswer: 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 30 = -3*x. Let u be (8\/x)\/(7\/245). Let h = 17 - u. Round h to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aa when two letters picked without replacement from taea?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2579.\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/117? (a) -21 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17 + 21. Let o be 0 + 9*(5 - t). Suppose o*j + 412 = 2113. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*p + 25, -1252*x + 1256*x + 32 = -4*p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 8197121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -39294 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the second derivative of -11*r**6\/30 - r**3\/6 + 16*r**2 - 45*r. Find the first derivative of f(z) wrt z.\nAnswer: -44*z**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/7 (c) -1\/4161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -31*j - 102. Let g be q(-4). Let t be (-37)\/370 - g\/(-60). Factor 0*w + 2\/15*w**2 + 0 + 2\/15*w**4 - t*w**3.\nAnswer: 2*w**2*(w - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 878148 and 1410.\nAnswer: 4390740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*j - 4474862609 + 4474862609.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 367*r**3 + 75*r**2 - 94 + 94 - 75*r**2 + 2*r as c*r**3 + p*r**2 + v + m*r and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (8 - 736\/80)*5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 214630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 62 and 35278.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**4 + 130205*f**3 - 4692240*f**2 + 42244740*f.\nAnswer: 5*f*(f - 18)**2*(f + 26077)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 38513401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 620 and 372?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 46657327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v\/(v**25*v))*v*v*v**15)**10)**(-2\/5) assuming v is positive.\nAnswer: v**(-172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-87 + 3*t + 87)*(11*t + 3*t**2 - 11*t - t**3).\nAnswer: -3*t**4 + 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, -2\/5, -10.\nAnswer: -10, -2\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.047, -2\/23, -2, -4, -34?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 21\/13 - 50\/39. Let r = 18 + -13. Which is the second biggest value? (a) m (b) 0 (c) r (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 57173 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -29 = 8*p + 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*y - 3*m - 13 = 0, 1666*y - 3*m - 1 = 1661*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*y**4 + 45*y**3 - 45*y**3 + (0 - 2 + 0)*(1752*y**4 - 936*y**4 - 936*y**4).\nAnswer: 237*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qlq when three letters picked without replacement from zzzqqzgl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27176 is divided by 74.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/36*-9 + 14\/8. List the prime factors of w - (1 - 1) - (-1 + -288).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -13430*c**3 - c**2 - 231*c - 126207078 wrt c.\nAnswer: -40290*c**2 - 2*c - 231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o - 3. Let b be x(-6). Suppose b*c - 4*c = -57. Suppose -3*q + c = 6. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4422 - -4418. Which is the fifth biggest value? (a) -8 (b) 5 (c) -2\/5 (d) 1\/4 (e) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 8 = -2*y. Let a(t) = 2*t**2 - 1. Let q be a(y). Calculate the greatest common divisor of q and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - o - 37 = -7*f, 3*f - o - 27 = 0. Let h(k) = k**3 + 17*k**2 + 15*k - 13. Let n be h(-16). Suppose 5*d - n = 57. Do f and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 45 = 5*p - 18, p - 3 = -3*b. Suppose -69 = -5*m - 59. Let x(a) = -a**3 - 5*a**m + 4 - 5 - 7 + 6*a + 5. Give x(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.048 - 1.91623213.\nAnswer: -1.96423213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-15)\/5)\/(-11 + (-24)\/(-6) - -10). Let h(z) = -z**2 - z. Let q(m) = 5*m**2 - 22*m. What is p*q(f) - 3*h(f)?\nAnswer: -2*f**2 + 25*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -185*y + 7. Is z(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by 172880?\nAnswer: 1\/21610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -348210 + 348210. Factor h + 4\/7*f**2 - 40\/7*f.\nAnswer: 4*f*(f - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of 0 - 247\/6*y**3 + 7\/8*y**4 - 1\/60*y**5 - 104*y**2 + y. Differentiate w(z) with respect to z.\nAnswer: -2*z + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6406336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 102261?\nAnswer: 3, 89, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*x**3 - 6*x**3 + 5*x**2 - 2832*x**4 + 2830*x**4 to j*x**3 + z + g*x + c*x**4 + a*x**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -k**2*v**2 - k**2*v - 5*k*v**3 - 486*k*v**2 + 5*k*v - 5*v**2 - 1518*v - 3 wrt v.\nAnswer: -2*k**2 - 30*k*v - 972*k - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8339 is divided by 491.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 211331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -25144 - 3?\nAnswer: -25147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 263*a = 278*a - 4095. Solve -268*v + a*v - 20 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 - (9 + -9 + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 446309910 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 108945?\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((3\/2)\/(-3))\/((-4)\/24). Suppose 3*n - 4*v = 80, -2 = -5*n + p*v + 146. What is the smallest common multiple of n and 44?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 555232 is divided by 7503?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -67 - -144. Suppose 2*k - 68 = -2*k. Let w = j + k. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -80 - -168. Solve 90*a - i*a = 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from giyyyrsysyyysyrys. What is prob of picking 2 y?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q. Let g(y) = -4*y**2 + 2*y. Let h(u) = g(u) - 2*x(u). Let r(s) = -s. What is h(r(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -962*h - 5674. Give o(-6).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 51244762063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-52) - ((-11)\/((-286)\/164))\/((-2)\/7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -666 + 671. Solve -2*c + b = u - 6*c, 5*c = -4*u - 22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = u**2 + 17*u - 19. Let c be d(15). Let z = 12455\/27 - c. Suppose -3*k + 6 - 3 = 0. Is z bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000006929213 rounded to 7 dps?\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**5\/9 + 58*y**4 - 520*y**3\/9.\nAnswer: -2*y**3*(y - 260)*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 1\/4, -14, -1\/4, -4, -0.072 in descending order.\nAnswer: 1\/4, -0.072, -1\/4, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**3 + 7*a**2 + 6*a + 5. Let u be q(-6). Let d be 9*1 + 0 + -1. Suppose 8*i - d = 6*i. Solve f - 2 = -0*f - 2*s, -i*f = -u*s + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-18)\/3)\/(-6))\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -4*c**3 - 19*c**2 - 50*c - 53. Let g be a(-15). What is the greatest common divisor of 82 and g?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41 (base 16) in base 7?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the first derivative of g**4\/40 + 2*g**3\/15 + 3*g**2\/20 - 12. Factor w(x).\nAnswer: x*(x + 1)*(x + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -18865027*a**4 + 670*a + 2529 wrt a.\nAnswer: -226380324*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 20.64 plus -5?\nAnswer: 15.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is (-2)\/(-4)*(8135 + -37) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -8313278427 and 0.4?\nAnswer: 8313278427.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jwlwj. What is prob of picking 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.05 and 0.127?\nAnswer: -0.00635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m**3*m)\/m*m)\/(m\/(m\/m**(-2\/17)*m)*m))\/(m\/(m**(-1\/4)*m))**(-2\/11) assuming m is positive.\nAnswer: m**(1557\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -107*u**3*z**2 - 2*u**3*z + u**3 - 138*u**2*z - u**2 + 935352*u*z**5 + 155*u*z - 3*z wrt z.\nAnswer: -214*u**3 + 18707040*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10458767*o**2 - 11664187*o wrt o.\nAnswer: 20917534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 2*f**3 - f**2 - 2*f + 3. Let o be x(2). Let j(y) = 3*y - o + 11. Let v(a) be the third derivative of -a**5\/30 + 58*a**2. Give v(j(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 20 - 20. Sort -1, q, -0.2 in ascending order.\nAnswer: -1, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1051548 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of (104\/(-28))\/((-10)\/70) and 40?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 572 = 264*k - 238*k. Let y = 151 - -371. What is the lowest common multiple of k and y?\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 715 minutes after 2:28 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 6*f + 65. Let g(z) = -5*z - 65. Let o(p) = -3*g(p) - 2*h(p). Let a(l) = l**3 + 13*l**2 + 31*l - 17. Let j be a(-5). Is o(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 76 = 3*t, 0 = -2*v - v + 5*t + 95. Let p = -1 - -4. Suppose -h + v = p*a, 24 = h + a - 1. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 + 0 + -27 + 59 + -36 - -32?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -130 (base 5) in base 9?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*z**4\/11 + 362*z**3\/11 - 618*z**2\/11 + 126*z\/11 + 124\/11 = 0 for z.\nAnswer: -62, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -0.09034, 2, 5, -2\/23, 1\/2 in ascending order.\nAnswer: -0.09034, -2\/23, 1\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 2, 4*o = 5*r + 8*o - 1332. Let h = -1874\/7 + r. What is the third smallest value in 1.5, h, 1?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1299759, 2599513, 3899263, 5199009?\nAnswer: 6498751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.01725089 and 0.04685.\nAnswer: 0.02959911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bimilbn. What is prob of picking 1 i and 1 b?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.026113 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(6*-4*(-1 + sqrt(1300)*-1 + -1*(sqrt(1300)*3 + sqrt(1300)))**2 + 5).\nAnswer: -1560038 - 4800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.18 - -0.05. Let o = m + -7.87. Let s = -7.8 - o. What is the smallest value in s, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -610504 (base 16) to base 7.\nAnswer: -105021151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 17827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**2 - 9*z - 7. Suppose -x + 0*x + m = -7, 2*x - m = 17. Let i be g(x). Suppose 0*d - 5*a = 3*d - 31, a = d + i. Solve -2*t - 12 = -d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 221231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-488)\/(-82) + -6 + 513\/2952)*(7 - 93)?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or -63502\/18749?\nAnswer: -63502\/18749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.13, -226, 11, 1\/8?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -21 - -39. What is the common denominator of 36\/7 and (7276\/2176)\/(m\/(-4))?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 + 0\/(-3))\/1. Suppose -2*i = 2*i. Let x = -4 - i. Sort 2, t, x.\nAnswer: x, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.0501305 and 0.0293.\nAnswer: 0.00146882365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does -112548\/11 = -10233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.4389547 and 0.1?\nAnswer: -0.04389547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes after 6:14 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2 (b) -15 (c) -6 (d) -322.9 (e) -2\/107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d**2 + d + 8. What is i(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -2*n**2 + 60*n - 9. Give c(30).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2.6 in -5, -2\/29, -2692, 0, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.035 + 4.335. What is k rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 + 12\/(72\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 73\/4 of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(2057) - (-3 + -1 + sqrt(2057) - sqrt(2057)) - ((sqrt(2057)*-3 + 5 - sqrt(2057)) + sqrt(2057))) + 3)*4)**2.\nAnswer: 2816*sqrt(17) + 526656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lyuy. Give prob of picking 1 u and 1 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13 - 7. Let v = 8 - s. Let u = -1 + v. Which is the nearest to 1\/5? (a) 0.2 (b) u (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*i**3 - 4*i**3 - 18*i**2 + 4*i**3.\nAnswer: -4*i**3 - 18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the first derivative of 2*w**3\/3 + 4. Let i(g) = 3*g**2 + 3*g**2 - 5*g**2. Determine f(i(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -66\/20315 and -28\/962931?\nAnswer: 4814655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 117*n**4 - 202*n**3 - 8*n - 6039282?\nAnswer: 468*n**3 - 606*n**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3629 - 0.454654252.\nAnswer: 3628.545345748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 121*g + 133. Let a(l) = -265 + 157*l - 189*l - 208*l. Let x(n) = -3*a(n) - 5*y(n). Differentiate x(m) with respect to m.\nAnswer: 115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 19 - 33 = 0. Suppose g + 75 = 5*d + 6*g, -2*d + s = -2*g. Solve -2*y = -4*i - d, -2*i + 0*i - 4 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**4 - 2*c - 1. Let b(h) = -3*h**3 + h**2 + h - 1. Let o(l) = 4*b(l) - 4*q(l). Factor o(w).\nAnswer: -4*w*(w - 1)*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -2, 1020, -3\/5, 2, -5, 0.2?\nAnswer: 1020","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*v = 4532 - 4907 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 37 - f778?\nAnswer: -f741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -y + 2*v - 8, -v = -y - 3. Let b(n) = 1 + 0 + 2*n + 3 + 5*n. Let j(r) = r + 1. What is y*b(u) + 5*j(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -26 - -4 - (-8 + 21 + -9) - 12.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/((b\/(b**(-13)\/b))\/b*b)*b*b)\/b*b)\/b**(2\/37)*b**(-2\/67)*(b*b\/(b\/(b*b*b**(4\/15)*b)*b*b*b*b)*b)\/b*b assuming b is positive.\nAnswer: b**(-402239\/37185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -79 - -80. Let b be ((-6)\/(-30))\/(m + -2)*1. Let p = -0.02 - 0.38. Sort -2, p, b.\nAnswer: -2, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the second derivative of 0 + 4*c - 7\/12*c**4 + 0*c**2 + 0*c**3 + 0*c**5 + 1\/10*c**6. Find the third derivative of a(j) wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(9\/51) - (-230)\/23.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -369 + 367. Which is the biggest value? (a) -9\/2 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in 7, -5, 0.3, 32?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 1. Let f(z) = -3*z + 3. Let l(s) = s**3 + 2*s**2 - 3*s + 2. Let v be l(2). Suppose 2*i + v = -2*i. Let g = 3 + -2. Calculate g*f(y) + i*d(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12\/63)\/((-12)\/(-42)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r**2 + 137636*r + 13942040 = 0. What is r?\nAnswer: -101, 34510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 545615 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g*g**(-14)*g*g)*g)**(-3\/43) assuming g is positive.\nAnswer: g**(-39\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110 - 1000011010010000001101000?\nAnswer: -1000011010010000001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 37662?\nAnswer: 2, 3, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*k**3\/3 + 252*k**2 - 73288*k\/3 + 47840.\nAnswer: 4*(k - 69)*(k - 2)*(k + 260)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/3, -3, 2\/87, -1\/4, -2\/19 in decreasing order.\nAnswer: 5\/3, 2\/87, -2\/19, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 41 - -b?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-308)\/10)\/(5005\/(-3575)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -180 - -206. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -50, -5\/6, -4317, -1\/10, -13 in increasing order.\nAnswer: -4317, -50, -13, -5\/6, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37*b + 172764 + 207041 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n = 4*t - 15, 76*t + 12 = 72*t + 4*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 3*k. Let u = 9 - 3. Suppose 2*h - u*h + 36 = k. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*m**2*q**6 + 923*m**2*q**2 - 5*m**2 - 2832*q**6 wrt q.\nAnswer: 600*m**2*q**3 - 339840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 65 - (15 + -15 + -33 - (7 + -22))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -0.3, 7.029, -30\/13, -5 in increasing order.\nAnswer: -5, -30\/13, -0.3, -0.1, 7.029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 4*n + 4. Let a(b) = b**2 + 3*b + 3. Let k(v) = 4*a(v) - 3*o(v). Let d(x) be the third derivative of x**5\/20 - 2*x**2. What is k(d(s))?\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((8\/9)\/4 - (-32)\/(2304\/2198))*4.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*f**2 + 5*f**2 - 3*f**2 - 15*f**2 to o + q*f + w*f**2 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -84 - -98. Let m = 29 + -11. Let i be 3\/((m\/140)\/3). Calculate the highest common divisor of i and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 40992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000253248 rounded to 6 decimal places?\nAnswer: -0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1\/222591 + 129473771\/1335546. Let l = h - 97. Is 1 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 divided by -87035?\nAnswer: 7\/87035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 18 = -3*x - 0*t, 5*x = -2*t + 30. Let p(z) = z - 6. Let r be p(x). Suppose r = -14*u + 15*u - 5. Solve -7 - u = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-1*sqrt(833) + 4)**2 + 3*(1*(sqrt(51) + sqrt(204)))\/sqrt(3).\nAnswer: -215*sqrt(17) + 13344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 2*t**2. Let k(w) = 188*w**2. Let m(q) = -3*q**2. Let r(a) = -k(a) + 8*m(a). Give r(l(z)).\nAnswer: -848*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 12*u. Let t be l(1). Let o(b) = -b**3 + 12*b**2 + 3. Let g be o(t). Let s = g + -1563. What is s rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 148 by 2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5696334924?\nAnswer: 2, 3, 7, 401, 169111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 + -a9d4a0?\nAnswer: -a9d4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:01 AM and 6:50 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 84 a factor of 2272897284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1020599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14 - 6. Let g = 10 - a. Solve -2 = 2*c - 4*m, 3 = 4*c + m - g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4.5 + -0.5. Let q = -157729 - -157727. Which is the second biggest value? (a) 1\/18 (b) r (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the second derivative of -v**7\/210 + v**5\/60 + v**3\/2 - 3*v. Let b(y) be the second derivative of p(y). What is the second derivative of b(g) wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(1 + -2*sqrt(1900) - sqrt(1900))**2*5.\nAnswer: -427525 + 1500*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, 1.65, 4873?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3006 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put together -5 and 125936.\nAnswer: 125931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-3)\/1*(-98)\/42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 67*g**3 - 2. Let w(y) = 15210*y**3 - 455. Determine -455*q(d) + 2*w(d).\nAnswer: -65*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 100008 and 40744?\nAnswer: 1100088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 - 3 - 4 + 2 + 1 - 2 + 2 + 1 + (-1 + 2 - 2)*(-1 + 0 + 0) - 3 + 0 + 2 + 5 - 5 + 2 - 1 + 9 - 9)*(-2*k + 3*k - 3*k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 130297 is divided by 21634.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 258218*r + 928040.\nAnswer: 258218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 0.1, 2\/3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -16\/682553 or -1?\nAnswer: -16\/682553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-1*sqrt(228))\/sqrt(12).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 3*(199\/597)\/((2\/4)\/(71\/(-2)))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4\/3? (a) 0.23152 (b) 74 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 12*b**6*x*z - 146*b**6*x + 8*b**2*z - 187*b*x*z wrt b.\nAnswer: 1440*b**3*x*z - 17520*b**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1, -5, -1701 in descending order.\nAnswer: 0, -1, -5, -1701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1146, 3445, 6894, 11457, 17098, 23781?\nAnswer: 31470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-142)\/36)\/(-17 - -19) and -121\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 183437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(252) - 6*(sqrt(252) - (-1*sqrt(252) + sqrt(252))))\/sqrt(12))\/((2*sqrt(84))\/sqrt(12) + -3*sqrt(21)\/sqrt(3)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 0, -23, -0.068, -2\/5.\nAnswer: -23, -2\/5, -0.068, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, 0.3, 1918\/3, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 80*t**3 + t**2 - t - 1. Suppose -b + 3*x = 4, -x - 3*x = -5*b + 35. Let j be (-12)\/60 - b\/(-5). Is i(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((0 + 2)*2)\/1. Suppose 2*r - 3 = r, -b*k = -2*r - 30. Suppose 0*m = 2*m + 3*i + k, m - 23 = 4*i. Calculate the remainder when 5 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 3*h + 2140 = 0, -h = 3*p + 2*h - 1605. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 5 (b) -1\/14 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 - (31 + -6 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13331, 13330, 13329, 13328?\nAnswer: 13327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/1065 and -157\/132?\nAnswer: 46860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.05 + -1.95. Let r = 0.3 + -2.3. Let s = f - r. What is the closest to 1 in 1\/5, s, -2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -40*r + 66. Is p(-5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.66303 kilometers in micrometers?\nAnswer: 3663030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 22 = 4*f, -4 + 0 = m - 2*f. Suppose -m*t - 2*j = -50, 0*t - 13 = -t + 5*j. Calculate the greatest common factor of t and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 2*sqrt(50)*6 + -3 + (4 + sqrt(8) + sqrt(2) + -1)*5.\nAnswer: 10 + 75*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4922*a**3 - 1796*a**3 - 2882*a**3.\nAnswer: -9600*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxxsxzxxxz. Give prob of picking 2 x.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -2577197630 to the nearest one million.\nAnswer: -2577000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/(-4) + (-210)\/(-40). Solve 5*l = -g, 3*l - 3 = a - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o - 2*q = 2, -o + 2*q - 4*q = 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the third derivative of -r**4\/12 + 9*r**3\/2 + 19*r**2. Is b(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 48.92243 kilometers to meters.\nAnswer: 48922.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -q**2 + 38210*q - 38210*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 227.754 - 228. Let b = s + -71.454. What is b rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:23 AM and 7:46 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the third derivative of -x**5\/15 - 5*x**2. Let g(c) = 68*c - 21*c - 48*c + 0 - 8. What is g(w(t))?\nAnswer: 4*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58168 + 116*v - 114*v + 58195.\nAnswer: 2*v + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 33180432200 to the nearest one million.\nAnswer: 33180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -14207775 divided by 3\nAnswer: -4735925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (24\/(-16))\/(27\/54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/4 - (-21)\/(462\/(-88))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:18 AM and 8:01 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0*((-9)\/1 + 817\/86)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**3 - 4*v**2 + 4*v - 6. Let s be i(-5). Let w be (-15)\/(-5) + s\/(-1). Solve 0 = u - w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*h**3 + 178*h**2 - 63*h**2 - 59*h**2 - 56*h**2.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 110448 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -17963533655.9997622 + 17963532087. Let v = u + 1569. What is v rounded to 5 decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 612 and 14892.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h + v + 85, 5*h - 50 - 54 = 2*v. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11432177 (base 8) in base 14?\nAnswer: -492675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and 207.353?\nAnswer: -103.6765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -571.79 + -13.21. Let n = h - -585.065. What is n rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -6*h**3 + 14*h**2 + 25*h + 13. Let v(m) = m**3 - 2*m - 1. Let z(n) = c(n) + 5*v(n). Give z(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*w + 20 = 6*w, 0 = 2*x - 5*w - 27 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*o - 5*o = 15. Suppose 0 = o*p - 7*p + 88. Calculate the remainder when 41 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 545326, 2181402, 4908196, 8725708, 13633938, 19632886?\nAnswer: 26722552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 5*k - 6 = 0, 33*d - 9 = 32*d + 4*k. Let l be 1\/d + 1515\/9. Calculate the greatest common divisor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5745 (base 12) to base 14.\nAnswer: -376d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -299 + 301 + (-1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 56, 2, -4, 4?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 3, u: 6, f: 6}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + -5 + 6 - (1 + -10) - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65*h = 64*h - 6. Let n(k) be the second derivative of k**3\/6 + 4*k**2 + 2*k - 10. Give n(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -583 - -586. Solve z*l - 2*t = 3*t - 19, -5*l - 13 = t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*(sqrt(12) - 1*sqrt(12)))\/(sqrt(44)\/sqrt(44)))**2 + ((-1*sqrt(3)*-6 - -2*sqrt(147))*-3)**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Is 919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 15 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 70375 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(6\/5)\/r**(1\/35))\/((r\/(r*(r\/r**9)\/r))\/r**(3\/2)) assuming r is positive.\nAnswer: r**(-443\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-84)\/(-104))\/((((-32)\/40)\/(72\/(-135)))\/1).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (6*(8\/84)\/2)\/((-54)\/63)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -3*a**2 - a + 1. Let n(k) = -1467*k**3 + 81*k**2 + 27*k - 27. Give 54*f(y) + 2*n(y).\nAnswer: -2934*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.2 and -7246292.\nAnswer: 1449258.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/9 - (-42)\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 36*v - 6. Let h(g) = -37*g + 7. Determine 5*h(d) + 6*l(d).\nAnswer: 31*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 6*d**3 + 0*d**3 + d + 2 - 2*d - 1. What are the prime factors of t(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -22 (base 6) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2, -5, -12, -19, -26?\n\"Answer: -7*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.1, -0.3, 0, 3.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - ((-5453)\/777 + 2))\/(7\/21).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of -10*20\/(-8)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -q**3 + 62*q**2 - 2*q - 491716.\nAnswer: -3*q**2 + 124*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -250 = -78*w - 211 + 741 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2476 = -6*b + 170. Suppose -12*q = -b - 1599. List the prime factors of q.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 39.7227 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 0*p + 6. What is the smallest common multiple of (-12)\/(-9)*-1*p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) 0.1 (b) 83\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 7, s: 1, y: 1, h: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {z: 2, b: 3, s: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 6 - 7 - 0 - (-3 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2349050 (b) -0.3 (c) 1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 243.7662 seconds to milliseconds.\nAnswer: 243766.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 31\/7 (b) -1\/4 (c) 0 (d) -12660 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 + -4. Let c be m - -1*(-14)\/(-4). Find x, given that 3\/2*x - 3\/2*x**2 - 3\/2*x**3 + 0 + c*x**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 * 1.12753\nAnswer: -4.51012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.3 + 0.4. Let a = v - -0.1. Let j = a + -0.3. Which is bigger: j or -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9626.5 + 9627. Which is the nearest to h? (a) 3 (b) 0.4 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 10\/35 + 225\/21. Let r be (m + -8)\/(6\/4). Let d(l) = -2*l**2 + 4*l**r - 5*l**2. Let z(h) = 2*h. Give d(z(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 4*w + 12 = -7*n, -n + 2*w = -10. Suppose 4*j - 5*o - 695 = 1282, 3*o - 961 = -n*j. List the prime factors of j.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) be the first derivative of -w**3\/3 - w**2\/2 - 276*w + 5. Let h be k(0). Does 5 divide h\/(-27) - (-2)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that 2*b**5 + 26*b**4 - 108*b**3 - 176*b**2 + 256*b = 0.\nAnswer: -16, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 23721420073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-364)\/(-18) - 8\/36. What is the highest common divisor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 2*i - 7. Suppose 967 = -x + 1019. Let o(a) = -158 + x + 53 + 56 - a. What is 2*f(c) + 5*o(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5089572?\nAnswer: 2, 3, 37, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 142025 and 132145.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from twgip.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is (11\/(-6 - -39))\/((-2)\/(-5034)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 656903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Total of -22973204834 and -0.5.\nAnswer: -22973204834.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 50*f + 79*f + 101*f - 42*f - 6016 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*t - 641 + 608. What is the closest to 54 in 4, 1, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*h - 3*h - 2*h + h + h - h + 4*h + h - 3*h + 3*h - 3*h - h + (2 + 0 - 1)*(3*h + 0*h - h) - 2*h + h + 2*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -47 + c6c1?\nAnswer: c67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 50582527 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l - 6 - 20 = -4*r, -5779*r + 5782*r - 6 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2929, 11689, 26277, 46693?\nAnswer: 72937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1357863 is divided by 594.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 182706 and 2220.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 24280 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + -2 + sqrt(68) + sqrt(68) + sqrt(68))**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z**2 - 17*z + 16. Let q be t(-18). Let g(o) = 10*o**2 + 5*o. Let h(b) = 5*b**2 + 2*b. Calculate q*g(j) + 5*h(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by -45061.\nAnswer: 2\/45061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 160, 320, 480?\n\"Answer: 160*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 13771 = -3*u, -166*u + 163*u + 13791 = 3*z. Does 237 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 10\/(-1)*4\/(-5). Let c(q) = 2*q - 7. Does 3 divide c(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -60, -68, -54, -6, 88, 240, 462?\n\"Answer: 2*u**3 - u**2 - 19*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 3*x**2 - 3*x - 4. What are the prime factors of u(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -70578*x**3 - 2*x**2 - 2*x + 32. Let n be p(4). Round n to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(198)*-2)\/sqrt(6))\/sqrt(11)*-4.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5068 - 4947. Calculate the remainder when 290 is divided by v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 355197 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j + 3 = -2*z - 4, 3*j = z - 122 + 128 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -607374 divided by -7407.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 2 + 1 = 3*z, z = 4*h + 2. Let u = 6 - 8. List the prime factors of (-5)\/z - u\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-105)\/(-70)*-8*1\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -w - 5. Let j be 25\/3 - w\/6. Let r be 9 + 1 + (-16)\/4. What is the highest common divisor of j and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 + 3 = 5*g. Put 5, 2, g in decreasing order.\nAnswer: 5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 176*b - 51. Give v(1).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/24 + (-2)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 9, h: 7}. What is prob of sequence zhhz?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 6582 by 3.\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 9, 0, -2, -3, -5 in decreasing order.\nAnswer: 9, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 21.8 - 21.4. Let y be ((-1)\/6)\/((-3)\/12). Which is greater: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i. Let g(m) be the third derivative of 197*m**4\/8 + 458*m**2. Determine q(g(c)).\nAnswer: -591*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 596 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 12449336?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5301*m + 4359 + 1955 - 3659*m + 900*m with respect to m.\nAnswer: -8060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -188*q**2*s - 2*q**2*v + 235*q**2 + 199*q*s**2*v + 107 wrt s.\nAnswer: -188*q**2 + 398*q*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -73, -140, -183, -190, -149, -48, 125, 382?\n\"Answer: 2*q**3 - 81*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 22 + -57. Calculate the remainder when (-20)\/a - 1406\/(-14) is divided by ((-14)\/7 - (3 - 6)) + 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (3 + -2)\/((-3)\/(-30)). Suppose 4*a + 5*f + t = -12, 4*a + 2 = 5*f. Which is greater: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**2 - 12*q - 129. Let j = -49 + 94. Suppose 0 = -5*g + 3*g - f + j, g - 2*f = 25. What is the remainder when h(21) is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**2 - f. Let x be 33\/15 + (-2)\/10. Let d be b(x). Suppose 2 + d = -n, 2*i = -3*n + 16. Calculate the greatest common factor of i and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.05 - -6.05. Let z = c + -8. Let r = 1.8 + z. What is the nearest to -1 in -2\/9, r, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*h - 19 + 18 + 6*h)*(-3*h**2 + 2 - 2).\nAnswer: -27*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:04 PM and 3:58 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 374 + -311 + 3 + (-4 - (3 - 8))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 = -5*b + 98. Calculate the remainder when 3\/6 - (-67)\/2 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**2\/7 + 23438*w\/7 - 23440\/7.\nAnswer: 2*(w - 1)*(w + 11720)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 31541 = -7*t - s, -5*t = -5*s - 39395. Calculate the highest common factor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p. Let n be h(-5). Suppose 3*u + 2*k - k = 347, -3*u + 371 = -n*k. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at least as big as 147.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1000004)\/(-10) - (-2)\/(-5). Round l to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 786.357 and -0.016395.\nAnswer: 786.340605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 593*r + 719. Let d be z(0). Let w(a) = 66*a**2 - 2*a. Let g be w(-6). Let p = g - d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/4 - (-6)\/(-24). Suppose 0 = 2*v + c + 1, 16 = -2*v - 2*c - 2*c. Let z be -4 + 0 + 18\/v. Solve w*t + 18 = -2*t - z*x, -5*t - 10 = -5*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3.6 + 4. Let j(w) = -w - 11. Let v be j(-12). Which is the nearest to v? (a) -0.4 (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z**4\/9 - 428006*z**3\/9 + 8*z**2\/3 + 5136040*z\/9 - 6848096\/9 = 0 for z.\nAnswer: -214003, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.4215 - 0.5785. Sort k, 2, -2\/57, -2 in descending order.\nAnswer: 2, -2\/57, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-4*-2*sqrt(152))\/((sqrt(8) + sqrt(72) - sqrt(8) - sqrt(8))*-1 + (-6*sqrt(128) + sqrt(8) - sqrt(8))).\nAnswer: -16*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5, -155\/1728, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/(18\/4)*-6. Let r = 385 + -382. Sort r, i, 1 in decreasing order.\nAnswer: r, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.025 + -28031929547.\nAnswer: -28031929547.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 - 11. Let o = 2 + -9. Let k = o - f. Which is the closest to 1? (a) -3 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -14*z**2 + 24*z - 48. Let c(n) = -5*n**2 + 8*n - 16. Let o(a) = 4*b(a) - 11*c(a). Determine g, given that o(g) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0069156 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3560222 divided by -53.\nAnswer: -67174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n + 16 = 4*o, -3*n = -107*o + 110*o - 15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 8 (base 9) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 6817 divide 4325236526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 - (-25 - -7) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13870416 is divided by 41281.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the second derivative of 0 + 0*c**3 + 0*c**6 + 0*c**2 + 49\/12*c**4 + 16*c - 1\/10*c**5 - 1\/2*c**7. What is the third derivative of z(i) wrt i?\nAnswer: -1260*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 29055 + -29023. Suppose u = 5*s - 195, 7*s = 2*s + 5*u + 215. Let x = s - h. Calculate the remainder when 31 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -2*o**2 + 2*o - 1. Let f = -4 - -4. Let k = -2 + f. Let u be 0 - 2*1\/k. What is r(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = 5*j + 25, 3*t + 0*t = -5*j - 5. Solve q = 4*p + 8, -5*p = t*q + 20 + 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -34*w - 184. Let t be l(-7). Calculate the greatest common factor of t and 3834.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -7*b**3 + 5*b**2 + b + 1. Suppose 0 = 3*o + 4 + 2. Let c = 585 + -580. Let h(v) = -3*v**3 + 2*v**2. Calculate c*h(y) + o*p(y).\nAnswer: -y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.4 + -4.4. Let b be (-3)\/((-3)\/4) + -1. Suppose 2*h - 7*h + 4*n - 6 = 0, -6 = b*h - 3*n. What is the third biggest value in h, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 14 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2816804*o**3 - 50*o**2 + 73174*o - 2.\nAnswer: 16900824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -14*q**2 + 279*q + 15. Determine w(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the third derivative of -l**7\/10080 + l**5\/480 + 7*l**4\/24 - 10*l**2. Let a(h) be the second derivative of x(h). Factor a(m).\nAnswer: -(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -3 - 145\/(-45) - 1712\/(-72). Let n(k) = k**3 - 3*k**2 - 7*k + 8. Let l be 0 - -10*3\/6. Let q be n(l). Which is smaller: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 1 (b) -966 (c) -0.3 (d) -2\/111 (e) 4\/3 (f) 2 (g) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 6.606207mm?\nAnswer: 0.000006606207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 9) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(45)\/(sqrt(9) - (sqrt(36) + sqrt(9)))*1*-1.\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -54*q + 65. Let g be y(2). Which is smaller: -45 or g?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4 - 2. Let r(q) = 2*q + 8 + 0*q - q - 1. Let x be r(0). Sort p, 4, x in decreasing order.\nAnswer: x, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 - 1. Let n be (12\/9)\/(16\/(-48)). Sort n, r, 1 in decreasing order.\nAnswer: 1, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {x: 6, y: 1, i: 3, u: 4, r: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1027 or -2\/35?\nAnswer: 1027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z*(z\/z**(-1\/7))\/z*z*z**2)\/(z\/(z**(1\/7)*z)*z\/(((z**(2\/7)\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1\/2, 5, 1\/5 in decreasing order.\nAnswer: 5, 4, 1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the third derivative of 12*w**7\/245 - 143*w**6\/70 + 47*w**5\/15 + 365*w**4\/42 + 46*w**3\/7 + 4*w**2 + 235*w. Solve o(a) = 0.\nAnswer: -1\/3, 3\/2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7b98b (base 12) in base 9?\nAnswer: 272088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -29999.10824 rounded to zero decimal places?\nAnswer: -29999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 16784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 125, 246, 367, 488, 609, 730?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 5*l - 4*l - 459*l**2 + 460*l**2 - 9 + (0 + 4 - 3)*(l**2 + l**2 - l**2) + 3*l**2 + 2*l**2 - 4*l**2 in the form t*l**2 + k*l + r and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9921 + -9920.999990863. What is c rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 280*v**2 + 2 - 2 - 274*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-12)\/(-28))\/(1767\/(-169043)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 - 6.07. Let y = 4.93 - u. Let b = y + -4.6. Sort b, 0.2, -3 in descending order.\nAnswer: b, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d**(7\/3)\/d))\/d**5*(d*(d**(-7\/2)\/d)\/d*d)\/d**7)**(-43) assuming d is positive.\nAnswer: d**(4085\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*p = 13*p - 132. Let l(r) = -66*r - 1. Calculate the remainder when l(-1) is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 89369 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 48622649287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -61041 - -5615835\/92. Find the common denominator of g and -99\/40.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2310 + 2?\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 0.0469384 nanometers?\nAnswer: 0.0000000000469384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 - -16. What is the greatest common factor of o and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 226306*y - 669179*y - 357417*y - 231468*y.\nAnswer: -1031758*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 18 and 5174118.\nAnswer: 5174118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 438 and 365.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2933 and 1225.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 145*q + 2 + 569*q.\nAnswer: 424*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -9*f**2 - 928*f - 642. Calculate u(-102).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 3*b - 38 = 4*b, -6 = 3*b. Is ((-24)\/c)\/((-4)\/(-754)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 55 (base 6) to base 13\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 1354*f - 1359*f + 644, -2*f + 3*v = -269. Solve 128*p + 3*b + 11 = f*p, -p = 3*b + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 0 = -12. Let b be q\/(-6) + (-28)\/(-8). Let k(h) = -h**3 + 3*h - h - 1 + 5*h**b. Determine k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1492447 is divided by 2129.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12101201012012 - -10?\nAnswer: 12101201012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 92*h + 567 = 51*h + 50*h for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 39348349 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*p = -20*p + 476 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 84, 92, 100?\n\"Answer: 8*d + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 15726456523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -259.20001771 + 259.2. What is j rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.020240648 rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2541, -173, 3781, 9321, 16447, 25159, 35457?\nAnswer: 47341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 7677*f - 3774. Is 19 a factor of s(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3 - (4 + 2)\/(-2). Solve u - b*u = 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 94 (base 10) to base 16.\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the third derivative of 1\/60*g**5 - 2*g**3 + 0 + 0*g - 2*g**2 + 11\/24*g**4. Let z be w(-12). Solve z = 4*b - 0 + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1689376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = -173 + 310. Suppose 3*w = 584 - a. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -14.5 + 13.6. Let k = -0.3 - 0.2. Let x = b - k. What is the closest to 1\/2 in 4, x, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -236 + 244. Let o(h) be the third derivative of -2\/3*h**3 + j*h**2 + 0 + 0*h + 1\/3*h**4. Find the first derivative of o(u) wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-160)\/(-50))\/((-341)\/682)?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 13) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-16)\/(-14))\/((-40)\/(-140)). Suppose w*l + 12 = 2*v, -l - 6 = -5*v + 6. Suppose 2*s - 4*n = 3*s - 3, -7 = v*s - 5*n. Sort -12, s, 3.\nAnswer: -12, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:55 PM and 9:47 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 550278031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 2*f**2 + f - 5. Calculate the remainder when s(-4) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (1 + 0)\/((-1)\/(-97))?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -143538 rounded to the nearest one hundred?\nAnswer: -143500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 47486.217 to the nearest 100.\nAnswer: 47500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 345*j - 409*j = 871*j - 27533 + 6963 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = -2*z - 4*s, 4*s = -2*z - 6. Suppose -2*v - 3*q + 47 = -62, -4*q = -z*v + 138. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = 8*u + 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -26*k + 33*k - 189. Calculate the remainder when k is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + ((-2*sqrt(392) + sqrt(392) + sqrt(392))\/sqrt(7)*1)\/(6*(sqrt(648) - (sqrt(648)*2 + sqrt(648)))))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, a: 1, g: 2, e: 2, y: 1}. Give prob of picking 1 y and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -118*a**2 + 0 + 5*a**5 - 9*a**6 + 145*a**2 + 0 wrt a.\nAnswer: -1080*a**3 + 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -654.13 in -3, 24, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 4434526507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from gbsvlbklk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, 4, 0.2, -5 in descending order.\nAnswer: 4, 0.2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes after 2:39 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -2*o**2 - 46*o - 1980. Give d(-36).\nAnswer: -2916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 1\/8, -3\/2, 660, 2\/45, 9.92?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-5\/11)*(((u**(6\/5)\/u)\/u)\/u)\/u assuming u is positive.\nAnswer: u**(-179\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 13 - 19. Let f(h) = h**2 + 4*h - 6. Let c be f(b). Solve c = 3*l - 6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 14*r**3 - 10*r**2 + 39*r - 87. Does 161 divide n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, 2\/7, 2\/9, 5 in descending order.\nAnswer: 5, 2\/7, 2\/9, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 + 2 + -5 + 5. Determine w, given that -r*w**2 - 8 - 4*w + 0*w**2 - 2*w - 2*w = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 divided by 24.\nAnswer: -7\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 4339.49 to the nearest 10.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 - -3. Find the second derivative of -t*y**5 + 5*y**5 + y + 2*y wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*s - 51*d + 46*d + 34, 5*s + 108*d - 2155 = -320*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = 15 + 3. Suppose 0 = -t - 5*i + 21, 0 = 4*i - 4 - 4. Let p = t + v. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 552 minutes before 3:48 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -892, -1792, -2722, -3682?\nAnswer: -4672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5517 + -3697. What is the greatest common divisor of r and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eqsrrep. Give prob of sequence qrr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 152086165 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from {g: 1, b: 1, y: 5, f: 4, x: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5, -22, -45, -74?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 7*z - 12 = 3*z, 0 = -2*z + 2. Is (0 - 2)*4\/p - -2634 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*u = 3*u + 4*u - 2, 5*a - u - 4 = u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 2 - 4 = 0. Let m(s) = 0*s - 4*s**3 - 1 - l*s**2 + 3*s**3 + 2*s. Let b be -4 - -2 - (-2 - 1). Give m(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1003542*n**2 + 338*n**3 - 1003542*n**2.\nAnswer: 338*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:58 PM and 12:10 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -23446*g - 426. Does 20 divide o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 45 = 0, s - 47*t - 51154 = 52936. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3665272 divided by 104.\nAnswer: -35243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3229366\/48192 - 1\/96?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0403 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**3 - 9*x**2 + 7*x + 9. Let h be l(8). Suppose o - h = 2*o. Let y = 1.897 - -3.103. Which is the closest to o? (a) -3\/2 (b) y (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -35540, -96551, -157564, -218579, -279596?\n\"Answer: -r**2 - 61008*r + 25469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -19 at most -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be 115\/(-9) - 4\/18. Let x = -80.3 - 277.7. Let g = x - -358.3. Sort g, j, 3, 0.4 in ascending order.\nAnswer: j, g, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the second derivative of 0 - 17*j - 3*j**2 - 1\/2*j**3. What is r(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22925.5 rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 32*o + 3012 - 71*o + 1938 + 40*o to the form d*o + f and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/19 - (-660528)\/836. What is the greatest common divisor of k and 474?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 182449 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g - 3*a = 2, -498*g + 502*g + 4*a = -12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 64 + -62. Solve u*o - 1 = -j, -2*j + 2 = 5*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 3*m - 9. Let c(s) = 15*s + 216. Let a be c(-15). Let k(w) = 17*w - 2 - 16*w - 2. What is a*k(y) + 4*o(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 31*i + 97. Let y be f(-3). Let q(g) = g**3 - 6*g**2 + 2. Determine q(y).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -108 and 5.63635?\nAnswer: 113.63635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 157.7 take away 0.5?\nAnswer: 157.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-16)\/(-72)*-3*162\/4. Let u be 2\/6 - (-198)\/q. Let x(d) = 5*d + 7. Calculate x(u).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.22 - -21.22. Let k = -14.5 + h. What is k rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 520 minutes before 8:47 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = -i + 5*o + 1, i + 4 = -2*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*z**5 + 1080077*z**3 - 1634*z - 562 wrt z.\nAnswer: -40*z**3 + 6480462*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(76) - -4*sqrt(76)*1) + -2*-3*sqrt(76))\/(-6*(sqrt(28)\/(sqrt(7) - 2*sqrt(7)) + sqrt(4)*-1*5)))**2.\nAnswer: 2299\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u**3 - 10*u**2 - u + 82. Suppose -23*y + 82 = -217. List the prime factors of v(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*n**3\/2 - 33*n**2\/2 + 63*n.\nAnswer: -3*n*(n - 3)*(n + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**3\/7 + 32*l**2\/7 + 214*l\/7 - 3060\/7.\nAnswer: -2*(l - 17)*(l - 9)*(l + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3503 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -16812, -16817, -16822, -16827?\n\"Answer: -5*y - 16807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 37\/17 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5.336979225 + -5.337. Round h to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 3.13 + -0.18\nAnswer: 2.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -146 = -2*m - 3*t, -5*m + 4*t = 5*t - 339. List the prime factors of m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 6 = -2. Find the third derivative of -9*v**6 - h*v**2 + 20*v**6 - 3*v**6 wrt v.\nAnswer: 960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3716 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 - 1. Let l(c) = 6 - 5*c**2 + 4*c - 3 + m. Let o = -6 - -2. Let q(w) = 6*w**2 - 5*w - 4. Give o*l(k) - 3*q(k).\nAnswer: 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 2247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -200 (base 4) to base 2\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 5552, 44482, 150124, 355832, 694960, 1200862?\n\"Answer: 5559*q**3 + 2*q**2 + 11*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -130437 - -7560\nAnswer: -122877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 511744 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) 91 (b) -3\/2 (c) -6.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0, 459, 3025, -2 in ascending order.\nAnswer: -2, 0, 3, 459, 3025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.133 from -6047.\nAnswer: -6046.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 19 and 102.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (((-4)\/9)\/((16\/3)\/(-8)))\/(25\/(-120))\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -43 + 55. Solve 0 = 4*g - g + t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.44 - -5.93. Let m = -0.21 - o. Let t = m + 0.7. What is the closest to 1\/2 in 1\/4, t, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 47 minus 7081987723596?\nAnswer: -7081987723549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1231071100 rounded to the nearest 1000000?\nAnswer: -1231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*i**2 - 5*i + 3*i - i to x*i**2 + u*i + f and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 18 = -3, 5*r + 3*n - 84 = 0. Let l(z) = z**2 + 4*z - 1. Let u be l(-4). Let q = 6 + u. What is the remainder when r is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 20637 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -47 + (-64 + 187 - 12)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -5*f + 3*z, -7 = -4*f + 4*z + 5. Suppose -3*p - f*r + 3 = 0, 4*r - 3*r = 2*p - 15. What is the least common multiple of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1 - 1) + (873\/144 - 6). Suppose -4*z - m - 10 = -55, 18 = z - 2*m. Suppose -3*o - 7 = -2*b, -5*o - z = 3. Which is greater: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 28769 = -3*p + 117738, -z - 5*p = -36614. Suppose -4*w = 16571 + z. Round w to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes before 12:31 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -196, -624, -1336, -2332?\n\"Answer: -142*n**2 - 2*n - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -10\/611, 4, -1\/9, 1\/3 in descending order.\nAnswer: 4, 1\/3, -10\/611, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -123*k*l**3 + 2*k*l**2 + 914*k*l wrt l.\nAnswer: -738*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j be -3 - (2 + -14 + -2). Let o be 16*1 + (-4 - -4). Let i = o - j. Solve -3*b - s = 0, -4*s = -i*b + s - 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 84216?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be 128\/72 - ((-2)\/8 - (-14)\/504). Solve -5*g + 5*t = -40, -a*t - 2*t - 20 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -h**3 + 152*h**2 - 5444*h - 24272 = 0.\nAnswer: -4, 74, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Expand (-44 + 43 - 52*z - 21*z)*(0 + 2*z + 0).\nAnswer: -146*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6993 and 567.\nAnswer: 20979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 104605209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.3 or -11\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 170165 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 209684 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1953315 and 14625?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 6068861159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.48 - 0.28. Let v = -1 - -2.1. Let l = v - 0.1. What is the biggest value in 2\/3, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -4822*b + 33749. Calculate g(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.3 and 6923.\nAnswer: 2076.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-5)\/5)\/((77\/2)\/(-7)). What is the closest to -2\/7 in 2\/23, 5, v?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*z + z = 0. Let l(n) be the third derivative of n**2 - 1\/84*n**4 + z*n + 1\/210*n**5 - 2\/21*n**3 + 0. What is v in l(v) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4587, -0.2, -2\/11, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -10 + 18. Solve -3*k = -7*k + l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**3 + 12*s**2 + 11*s + 2. Let u be o(-11). What is the derivative of 26 - u*t + 26 - 54 wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1451569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5495 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1458445553?\nAnswer: 12917, 112909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -202211 - 111100210012?\nAnswer: -111101120000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zcz when three letters picked without replacement from {z: 2, c: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -804 - -520. Let u = -31683.46 + 31402. Let z = u - y. What is z rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2611118941?\nAnswer: 2611118941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -7207*x - 59510 = -9061 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v - 4*v + 22 = 0. Solve v*m - 4 = y, -m - 2*m = 5*y - 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kwe when three letters picked without replacement from {w: 11, e: 1, k: 7}?\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -520938528 divided by 352\nAnswer: -1479939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5.853 + -5.147. Which is the smallest value? (a) 0.5 (b) -4\/3 (c) 0 (d) x (e) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 - 11*g**2 - g - 8. Let n be q(-11). Suppose 4*v = -2*l + 96, 53 + 19 = n*v + l. What is the units digit of (-1)\/(-3)*(0 + v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 91.47 and 5.\nAnswer: 457.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 16255*n**2 - 12776*n**2 + 4 - 9196*n**2.\nAnswer: -38227*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -243095102, -243095100, -243095098?\n\"Answer: 2*i - 243095104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -315 (base 6) to base 3.\nAnswer: -11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y = u - 16, -44 = 10*u - u - 2*y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.05 - -1.15. What is the second smallest value in -5, -1\/12, o, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22456 divided by -2?\nAnswer: 11228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5228*y - 2329 wrt y?\nAnswer: -5228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8779.1 - 8779. Is 10218 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = 90 - 102. Let q(r) = 3*r - 13. Let l(k) = -70*k + 40. Let m(h) = -h. Let x(t) = l(t) - 60*m(t). Let d(u) = -7*q(u) - 2*x(u). What is d(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2352 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6181368.\nAnswer: 2, 3, 37, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-9)\/5 + 1 + 1. Let q = 246 - 242. What is the third smallest value in 0.3, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvivivgvvvgvv. Give prob of sequence vvg.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 739420?\nAnswer: 2, 5, 11, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 1064740 = 32*s + 1064388 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 186*w**2 + 2*w. Let m(i) = -429*i. Give m(l(k)).\nAnswer: -79794*k**2 - 858*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**2\/5 + 116*h\/5 - 119\/5.\nAnswer: (h - 1)*(3*h + 119)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.1 + -1.4. Let u be 3\/6*(2 - 1). Which is the third smallest value? (a) -1 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(((-54)\/(-126))\/(2\/7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f - 3*f = 749900. List the prime factors of f\/150 - (-4)\/30.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -6 + (-183 - -197)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2001343 (base 5) in base 3?\nAnswer: 1121011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w + 8*w - 3*w)*(1 - 2*w**3 - 1) - 2*w + 1 - 2*w**4 + 2*w.\nAnswer: -12*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 21 (base 3) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 23.2, 5, -12922\/5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -9248091889*i**2\/2 + 1154004*i - 72.\nAnswer: -(96167*i - 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*a - a = 0. Let y = 12 + -8. Suppose -w + 0 = -2*l + y, -w = l + 4. Solve -2*m + l*m - 6 = a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 46983, 187279, 421105, 748461?\nAnswer: 1169347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-5*8\/60)\/(-3 + 1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 70*t**3 - 4. Let u be a(-2). Let z be (2\/(-8))\/(u\/80 + 7). Solve z*k = 3*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -209 (b) -17 (c) 2 (d) -4 (e) 1\/4 (f) 79 (g) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**6\/v)\/v)**(-2\/47) assuming v is positive.\nAnswer: v**(-8\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*h - 7*h - h + 9.\nAnswer: -5*h + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-1)\/2)\/((-2)\/1172). Suppose r - t = -5*z, -4*z = -r + 6*r - 247. Is 28 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1212.7 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -464*w - 464*w + 921*w - 12*w**2 as k*w**2 + f + x*w and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1331251.\nAnswer: 1331251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2 smaller than -5\/33918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(-4)*(-816)\/4080*-12?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (24\/(-16))\/(3\/12*-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k - 17*k = 0. Suppose m = k, 20 = 2*y - 0*m + m. Calculate the least common multiple of 84 and y.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*x = 51*x + 60. Suppose -3*q + r + 14 = 0, -2*q - r + x + 0 = 0. Sort 3, q, -1.\nAnswer: -1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a, 1 t, 1 r, and 1 b when four letters picked without replacement from {a: 4, y: 3, u: 2, b: 3, r: 6, t: 1}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/p**1)\/p)**(20\/3) assuming p is positive.\nAnswer: p**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 381813 and 5?\nAnswer: 1909065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor x**3\/3 - 867*x**2 + 35973*x - 376173.\nAnswer: (x - 2559)*(x - 21)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**2 + 10*m - 11. Let p be d(6). Let u(y) = -2*y**3 - 3*y**2 - 3*y - 3. Let w be u(-2). Suppose -p = -4*o + w. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 63 (base 14) to base 9.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 0*l**3 + 2*l**3 - 5*l**3 + (3*l**2 + 0*l**2 - 5*l**2)*(2*l - 3*l + 2*l) + l**3 - 37*l**3 + 3*l**3 in the form p*l**2 + a + s*l + h*l**3 and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8635 divided by -5.\nAnswer: -1727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000748622 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 629.4135l?\nAnswer: 629413.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4319 = -20*d - 4459. Let t(f) = 5*f**2 - 43*f - 2. Let j(r) = 2*r**2 - 22*r - 1. Calculate d*j(x) + 3*t(x).\nAnswer: x**2 + 25*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 81 divide 675251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -i - 13. Let u be r(-15). Are u and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3771*x**2 - 100548*x + 100548*x to n + o*x + l*x**2 and give l.\nAnswer: 3771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -14, 2, 5, 27 in ascending order.\nAnswer: -14, -3, 2, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -4\/207611?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = 2 + 22, 2*k = 8*k + 3*c. Let g = -0.63 + 27.63. What is the nearest to k in 0.4, -3, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**3 + q**2 + q - 1. Let h be a(2). Let b = 1 - h. Suppose b*z - 29 = 15. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -88018964268614 and 0.1.\nAnswer: -88018964268613.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3882*(5\/15 - -1). Let k = -58223719\/11 - -5287885. Let p = i - k. What is the common denominator of p and -49\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -261 + 413. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -34 (base 16) to base 3\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from aaiatlhahihaa?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2 and 2828.\nAnswer: 2828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (798 - 816 - ((-3 - -2) + 14)) + -4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes after 7:36 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 10 - 2 - n + 1. Suppose 7*j + 2 = -3*t + 3*j, -16 = -t + 2*j. Is x(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -4*m + 6256, 5*n - 3682 = 2*m + 4103. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 3449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3677\/2 - 1838. Factor z*u**3 + 0 - 3*u**2 + 5\/2*u.\nAnswer: u*(u - 5)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1827277, -1827612, -1827947, -1828282?\n\"Answer: -335*r - 1826942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 400\/33300*37*1\/(-4)*-3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract -73 from -21779026.\nAnswer: -21778953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1048*n = 1049*n + 5*i - 18978, -3*n - 5*i + 56914 = 0. Round n to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*(-2)\/2*(-2)\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 5*c = -306, 0*c + 5*c = -5*o + 765. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i - 2*f + 208 = i + 244, -2*i + 4*f + 35282 = 35258 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -3*(5*-3*-6*(-3 + sqrt(9)\/sqrt(3)) + 3))**2.\nAnswer: -432540*sqrt(3) + 860301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 3107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 0.1 (c) 4 (d) 2\/11 (e) 3\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*g - 5 + 14 = 0. Differentiate 9*u + g - 25 - 18*u wrt u.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3497359 is divided by 515?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -3*b**3 - 7*b**2 - 9*b - 1. Let z be r(-4). Suppose -4*g + 77 = t, 3*g = -2*g + 5*t + z. Solve g = -3*c - c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2823.692 take away -3933?\nAnswer: 1109.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of b**2*g**2 + 22111*b**2 - 2902*b*g**3 wrt g?\nAnswer: 2*b**2*g - 8706*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkkkkkkkkkkkjkkkk. Give prob of picking 2 k.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 3*u - 2. Suppose -u*r + 35 + 13 = 0. Solve -5*l = -l + r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11311*k = -11330*k + 57 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 6 = -14. Suppose -n = 2*n. Suppose -2*f + 5*f + 12 = n. Sort -3, f, y in decreasing order.\nAnswer: -3, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18762.\nAnswer: 2, 3, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 289194161.\nAnswer: 83, 3484267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 2342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-204)\/(-2856))\/((-5)\/(-35))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p - 66. Let g be 1276\/22 - (1 - 10). Let w(u) = -g*u**2 + 38*u**2 + 30*u**2. Give w(y(m)).\nAnswer: m**2 - 132*m + 4356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - -4) + 5 + -10 + 8 + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -14*f + 45. Let c(d) = 1646*d**2. Give m(c(u)).\nAnswer: -23044*u**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-18))\/((-2)\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 911152466.\nAnswer: 2, 7, 317, 205307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 399093 minus -3535.427?\nAnswer: 402628.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 424 by -23.\nAnswer: -424\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3740 + 22367\/6. Suppose -4 = n, -3*n - 36 = 2*z - 0*n. Calculate the common denominator of s and (-237)\/z + 2*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) 0.1 (b) 0.023 (c) -1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 - -563500061?\nAnswer: 563500060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 124.3 + 1431799?\nAnswer: 1431923.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n - 93 = 3*r, 76*n = -31*r + 75*n - 1026 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -193\/42300 and -87\/20.\nAnswer: 42300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 51 + -42. What is the third derivative of -t**5 - 22*t**6 + t**5 + 7*t**2 + l*t**2 wrt t?\nAnswer: -2640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in seventy-four fifths of a meter?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 616*b = -4905*b - 2089*b - 3217*b - 140751 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1.59, -61, 1, 1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*z + 42 = -21*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1636, 13092, 44126, 104500, 203976?\n\"Answer: 1627*a**3 + 27*a**2 - 14*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 99086.7 months to millennia.\nAnswer: 8.257225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 b when three letters picked without replacement from eaeerzroorzb.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -6 + 38*w + 6 - 12*w in the form a + g*w and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1360, -2722, -4084?\nAnswer: -5446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r + 1. Let h(k) = -8*k + 1. Let p(f) = -h(f) + 5*q(f). Let g be p(-3). Sort 2, 4, g in descending order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1064, -1328, -1592, -1856, -2120, -2384?\nAnswer: -2648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/a**(-2\/11)*(a**1\/a)\/a)\/(a\/((a**(-2\/3)\/a)\/a)*a\/(a\/a**1))*((a*a*a*a**1*a*a*a)\/a)**40*a**4\/((a**(-1)*a*a)\/a) assuming a is positive.\nAnswer: a**(7904\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 9775 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, 489, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 9*q - 1. Suppose -n + 2*n - 12 = -3*o, 3*n + 4 = -o. Let r be (-12)\/n*1\/2. Let l be 1*(-1 + r + -2). Give g(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 69985 by -2.\nAnswer: -69985\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1 - 6\/(2 + -4). Suppose -15 = -q*x - j, -5*x + 3*j + 10 = -0*x. Let h(r) = r - 3. What is h(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 145e9 (base 15) to base 12.\nAnswer: 31a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (0*i**2 + 3*i**2 - i**2)*(i + 1 - 1) - i**3 + 2*i - 2*i + 6*i**3 - 3*i**3 + 21 - 2*i**2 - i**3 as d + s*i**2 + x*i**3 + a*i and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 582826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -9, 26, 95, 204, 359?\n\"Answer: i**3 + 11*i**2 - 5*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 103247 divided by -1541.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 3, w: 1, n: 2, g: 1, y: 1, a: 5}. Give prob of picking 2 l.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(1\/2)*c)\/c**6)**(-21\/8) assuming c is positive.\nAnswer: c**(189\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1.6 from -54078.82.\nAnswer: -54077.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 137888 and 3531712?\nAnswer: 4448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 15744029 to the nearest integer?\nAnswer: 3968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -4*z + c + 51, 33 = 2*z - c. What is the smallest common multiple of 16 and z?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = j + 2*a + 12, -a + 4 = -4*j. Let z = 4898 + -4892. Sort 8, z, 0, j in ascending order.\nAnswer: j, 0, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(432) + 0)*5)**2 - sqrt(432).\nAnswer: -12*sqrt(3) + 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 12114, 12065, 11982, 11865?\n\"Answer: -17*t**2 + 2*t + 12129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -151*q + 147*q - 58305 = -5*r, 0 = -q + 5. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -467*u + 235*u + 232*u - 4*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be 57\/114*(9\/3 - 1). What is the nearest to j in -1, -11\/2, -68?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -288 in -4\/45, 6, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 35366235 (base 7) in base 14?\nAnswer: 5b5255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/5 in -30, -0.3, 1\/11, -2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 4.2, -4, 15\/32, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -2*t**3 + t**2. Let o be w(-1). Suppose -2*y = y - 99. Suppose o*l - y = -0*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 5*b. Let d = 4 - 3. Let l be o(d). Suppose -l*n - 22 = -6*n. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hulhlhduhlnhqnh. Give prob of sequence nu.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 2*u**2 - 9*u + 3. Let p = -12 + 20. Is f(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2607*i**2 + 1288*i**2 + 1442*i**2.\nAnswer: 123*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 528021 by -4513.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000692461805 to 6 decimal places.\nAnswer: -0.000692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1822 + 1821.85. What is the nearest to 1 in -5, j, -0.3, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1295020 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the second derivative of g**5\/30 - 51*g**2\/2 - 74*g. Let l(j) be the first derivative of y(j). Let f(n) = 8*n + 4. Determine l(f(s)).\nAnswer: 128*s**2 + 128*s + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3615499 to the power of 1\/2, to the nearest integer?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 149786*a**5 + 2196*a**2 - 38*a wrt a?\nAnswer: 8987160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (71 - -131) + -205 - (0 - 85 - (2 - 0))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 2 - 2 + 0 - 38*a**2. Let z(d) = 24*d - 48*d + 25*d. Calculate z(c(g)).\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.0188 - -253.0188. Let m = i + -252.8. Is -3\/31 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2118 and 310194?\nAnswer: 109498482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -259 + 269. Calculate the greatest common factor of v and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -11\/933210 and 70\/9.\nAnswer: 933210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*t - t**2 + 5*t)*(5*t - 4*t + 0*t) - 29*t**3 - 3014*t - 3025*t + 6038*t - 12*t**2.\nAnswer: -30*t**3 - 12*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be -3 - (-3 + 2)\/(1\/6). Solve -3720*m**2 + 3714*m**2 + 2*m + 2*m + 2*m**z = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 526*f**4*j**3 - 26*f**4*j**2 - 2*f**2*j**3 + 3*f**2 + 355*f*j**3 - j**3 wrt f.\nAnswer: 12624*f*j**3 - 624*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 1 = 0, -42 = h - 5*o + 2*o. Let g = h + 88. List the prime factors of g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 3*z**3 + 36*z**2 - 2*z + 25. What is the remainder when 107 is divided by g(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(144) + sqrt(36) - sqrt(16)\/(sqrt(4)*-2))\/(sqrt(72)*-2 + sqrt(72) + sqrt(72) - ((sqrt(54)\/sqrt(3) - sqrt(18)) + sqrt(2))))**2.\nAnswer: 361\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/5 of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -4*j - 79. Let z(y) = 10*y + 159. Give 7*n(m) + 3*z(m).\nAnswer: 2*m - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j*j**1\/j)\/j)\/j**(-3\/4))**(-19)*(j*j*j**1)**(11\/7)\/(j**(-1\/2)\/j)**(6\/17) assuming j is positive.\nAnswer: j**(-4287\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-216)\/(-6) - (1 - 1). Suppose -5*m + z = -29. Solve 0 = 3*j - 5*q + m, -2*j - 16 = -5*q - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of i**2*s**3 - 112*i**2*s - 7*i**2 + 966770*i*s**3 - 21*i*s**2 + i*s - 5*s + 173 wrt s.\nAnswer: 6*i**2*s + 5800620*i*s - 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3a3 (base 14) in base 4?\nAnswer: 23123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.4 and 19.3907.\nAnswer: -7.75628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 98 (base 10) in base 8?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 59767309 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put together -22 and -8760.\nAnswer: -8782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 334680 and 144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -1426.94 rounded to the nearest ten?\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, d: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1302 + 1989. Let n = o + -686.99999443. What is n rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10879267561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 47*d - 2190. Calculate m(41).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 4, w: 4, m: 3}. What is prob of picking 1 f and 1 w?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yp when two letters picked without replacement from {p: 3, j: 2, x: 4, y: 8, h: 2}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 1. Let w(d) = d**2 + 11*d + 23. Let h(r) = w(r) - 2*z(r). Let c be h(-9). What is the second derivative of -66*t**c + 30*t**3 + 4*t**3 - 14*t wrt t?\nAnswer: -192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 401242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2, -14, -42, -88, -158, -258?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2903202866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + m = -171, -m + 0 = -5. Suppose 47 = -c + f. Sort c, 6, 4, 0.\nAnswer: c, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 + 0.7. Let o = j - -0.5. Let h = 883.1 + -882.1. Which is the nearest to o? (a) -1 (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -m**3 - 2 + 10*m**4 - 11*m**4 + 7 - 18*m**4 as s*m**3 + a + g*m**4 + d*m + b*m**2 and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -150.3499712 - -150.33. Round i to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 5\/1*(6 - 3). Suppose 0 = 3*c - 8*c + r. What is the second derivative of -3*d**c + 5*d**3 + d - 2*d wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1 + 3. Let k be (-2)\/(2\/(-6)*b). Suppose k*l + 2*l - 175 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 727273909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -25.3 - -24. Let o = -1.68 - -1.78. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4697 = 3*n + 2*f - 1916, -5*n - f = -11017. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 4*c = 2*q - 29, -2*c - 6 = 0. Let u = q - 21. Let t = -23 + 17. What is the closest to 0.2 in u, t, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*v - 8*v + 15. Let t = v + -5. What are the prime factors of (16\/t + 0)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from drctd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = -3*n + 4, 8 = 7*y - 3*y + 4*n. Let t(h) = -3*h + 1. Let w be t(y). What is the closest to -1 in 2, 4, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1303917, 2607867, 3911817?\nAnswer: 5215767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*u - 16 = -16*u. Suppose 5*v = u*f - 445, 2*f + 0*f - 215 = v. Calculate the greatest common factor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 191597267*p**4 - 262*p**2 + 632*p - 57?\nAnswer: 4598334408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 17*u - 46. Let s be i(4). Let z(j) = 4*j**2 - 55*j + 59. What is the units digit of z(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -2\/5, 6, 1\/3, -2.7, 43?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9475*b**2 - 24*b**3 + 8676*b**2 - 5039*b**2 + 13550*b**2.\nAnswer: -24*b**3 + 26662*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -46*m + 4*m - 12*m as p + v*m and give v.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 + 0 + (-68)\/(-17). Let n be (-3)\/(d - 6) + -2. Are -1\/2 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(252)*-1*4)\/(sqrt(45)\/(sqrt(50)\/sqrt(160))) + 4.\nAnswer: -2*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 289 = -3*m, -5*m = -4*c - 636 + 126. Suppose -4*n - 10 + m = 0. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the first derivative of -311*m**4\/4 + m**3\/3 + m**2 - 2*m + 17. Let f be r(1). Does 4 divide 1\/4 + f\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(5)*1)*1.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 116 - 111. Suppose -3*c + a + 2*a = 0, 0 = u*c - a - 16. Suppose -4*t - 444 = -2*l, -c*l = 4*t + 363 - 1311. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(15) - sqrt(150)\/(sqrt(40)\/sqrt(4)))\/((sqrt(3) + sqrt(9)\/sqrt(3) - sqrt(3))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11111000001110 - 10100011100?\nAnswer: -100001100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the first derivative of -20*b**3\/3 + 9328. Let m(z) = 33*z**2 - 1. Give g(m(y)).\nAnswer: -21780*y**4 + 1320*y**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:35 AM and 9:09 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2 - o - 1. Suppose 0 = -3*t + 11 - 14. Let y be (-1)\/t*(1 + -2 + 1). Calculate n(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -165*d + 150*d - 150 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1517 - 2?\nAnswer: -1520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -76*x + 29*x - 924 = 85*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 227106 and 2511.\nAnswer: 2043954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 75627, 1 in decreasing order.\nAnswer: 75627, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hnhh when four letters picked without replacement from {n: 1, h: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 43793*g**3*m + 2*g**3 + 1355*g**2 - 5*g wrt m?\nAnswer: 43793*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mykr when four letters picked without replacement from ymrrmrmyrymrrmkmmmm?\nAnswer: 9\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = 213 + -199. Calculate the remainder when 39 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -54107*w - 2*j = -54102*w, 3*j = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.03 + -0.02973. What is z rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18515?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 + -2. Suppose 1 = f + 2*d, -5*d + 3*d = -b*f + 8. Let q(r) = r**3 - 11*r**2 - r + 11. Let w be q(11). Solve w = -f*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the second derivative of d**5\/60 + d**4\/12 + 5*d**3\/6 - d**2\/2 + 9*d. Let g(z) be the first derivative of h(z). Does 4 divide g(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/161058 and -7\/7596569?\nAnswer: 45579414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*h + 3*h = 0, 2*h = -2*r - 76. Let c = -26 - r. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.108753 millilitres in litres?\nAnswer: 0.005108753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 235322424414 - 0?\nAnswer: 235322424414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3465 and 124432.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (3 - (3 - (-12)\/2))*29. Let u = a + 335. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 92659 and 3700687.\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 560 = -5*t - 277, -5*i = 2*t - 358. Calculate the smallest common multiple of i and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = a**3 + 4*a**2 - 21*a - 1. Let i be k(-7). Let m(j) = j - 1. Determine m(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/12096 and -83\/504.\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 3*p**2 - 1305*p + 145200. Let k(q) = -6*q**2 + 2605*q - 290400. Let n(y) = -3*k(y) - 7*u(y). Solve n(m) = 0 for m.\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes before 7:58 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -16 + 24. Suppose 0 = -5*d + 22 + o. Let r(t) = 6*t**2 - d*t**2 - 20*t**2. Let h(g) = g**2. Give r(h(n)).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -8*l - 2*l - 9*l + 21*l**2 + 18*l. Let a = -1 - 0. Calculate the remainder when p(a) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f + 5. Let o(x) = -3*x + 39. Let c be o(-29). Let w = c + -76. Suppose -w - 62 = 16*n. Give h(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -257.1 + 257. Put 0, 4, -4, p in ascending order.\nAnswer: -4, p, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 347 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 - -4. Let t be 22\/99 + (-356)\/(-18). Let z = t + -16. Calculate the highest common factor of p and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 390 and 160095.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1130480 and 1554410?\nAnswer: 12435280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 0, 2\/9, 2\/7, -0.5, 0.4, -100.5?\nAnswer: -100.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00551761 rounded to four decimal places?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2111896172 - 0.3?\nAnswer: 2111896171.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = 3*s - 1905, 487*s = 483*s - 5*v + 2535. Calculate the smallest common multiple of 216 and s.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -5*x + 23. Calculate g(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -0.3, -48\/7, -94 in increasing order.\nAnswer: -94, -48\/7, -4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6709.121 + -6706. Let q = j + -0.021. Let b = 3 - q. Is b >= -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-2\/9)*y**0)\/(y**(2\/3)\/y**(1\/6)))**9 assuming y is positive.\nAnswer: y**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 53423.84 nanograms to milligrams.\nAnswer: 0.05342384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7806.3 rounded to the nearest one hundred?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 36423 and 342.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 9*m**2 - 4*m - 4. Let i be w(-3). Suppose -i = -3*d + 25. Suppose -t - t = -d. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 2*g - 12 = 0, -i = -5*i - 3*g + 2. Suppose 4*d + 20 = 0, -5*r + 130 = d + i*d. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -198.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + 4. Suppose -2*r + z*r = 16. What is the units digit of r + 4 + 1 + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 135 by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 2*v + 23. Let w be n(-2). Let h(b) = w*b + 20*b - 2*b**2 - 39*b. Let f(c) = 3*c. What is h(f(t))?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -2*r**2. Let q(x) be the third derivative of 0*x**3 + 0*x**4 + 0*x - 1\/60*x**5 - 6*x**2 + 0. Determine q(s(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-137232)\/385965*-5*3\/(-3)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -7 - (7 - 15 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1 + -2)\/((-4)\/12). Let z be (-44)\/150 + (-522)\/13050 + 2\/4. Let x = 7.3 - 7. Which is the smallest value? (a) x (b) -1 (c) z (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2412 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 4880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**3 - 27*x**2 + 78. Give z(-27).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be 24\/(-60)*(-1 - -11). Is 7 a factor of -7*2*2\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 5*s + 42 = 347, 0 = -2*p - 4*s + 120. What is the remainder when p is divided by 4191\/198 - (-1)\/(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6740.196ml to litres.\nAnswer: 6.740196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from vbcttbbtttcvb?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 90 a factor of 44668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 4*p + 6. Let b(j) = -51*j**2 + 21*j - 3330. Let g(n) = b(n) - 6*d(n). What is the first derivative of g(y) wrt y?\nAnswer: -102*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 + -1. Let s be ((-508)\/381)\/(8\/(-18)). Which is the fourth smallest value? (a) s (b) y (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-22971)\/114)\/(559\/258)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q + 55. Let w be n(7). Let k = w + 88. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the second derivative of b**5\/40 + b**3\/6 - b. Let h(s) be the second derivative of f(s). Let w(i) = 2*i - 4*i + i. Determine h(w(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 22*l**2 + 64*l + 37. Calculate the remainder when m(-4) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {q: 5, t: 15}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of -y**6\/120 + 13*y**3\/6 - 17*y**2. What is the first derivative of u(v) wrt v?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*i + 0*i - 78*i**2.\nAnswer: -78*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 81787 and 663.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 5 = -0. Let f be (h\/(-2))\/((-4)\/8). Let t = 10 + f. Calculate the greatest common divisor of t and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 630 and 1330?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -27250163*b**2 + 50*b + 210988 wrt b?\nAnswer: -54500326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 + s + 15 - 7)*(-2*s - 3*s + 3*s - 1) to the form b + u*s + w*s**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 268239, 1072940, 2414109, 4291746, 6705851, 9656424?\nAnswer: 13143465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -55 + 25*d + 50 + 24*d**2 - 19*d. What are the prime factors of v(4)?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - (16 - (-21 - -24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 56 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0*(114\/12)\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 63, 168, 363, 666, 1095, 1668?\nAnswer: 2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -2756 + 1\nAnswer: -2755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 765555452*m**2 + 61343463*m.\nAnswer: 1531110904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -261*j + 23124750 = 14*j. What is j rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-47 + 31 + 30)*(7*m - 12 - 5*m - 3*m)*(2 - m - 3 - 1).\nAnswer: 14*m**2 + 196*m + 336","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*j + 519 = 501. Solve -x + 13 = j*s + 2*x, -4*s - 3*x = -17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -381.057*-76.\nAnswer: 28960.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y + 5*g - 895, -y + 5*g + 245 = -195. What are the prime factors of y?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -159*y - 4340 = 168*y - 17*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2739.3811 rounded to zero dps?\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 23, 4 in decreasing order.\nAnswer: 23, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -309*k + 3747 + 4595 = 308 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 112 and 11808944.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 65 = 2*x, 7035*x - 50 = 7030*x - 5*t. Solve -4*b - 4*r = 12, x*b - 3*r - 4 = 17*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1*3\/(-39))\/((-2)\/(-4))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express w - 13*w**3 + 6*w**3 - 3*w**2 - 3*w + 3*w**3 as c*w + t + m*w**2 + a*w**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-1*2*-5*(0 + sqrt(448))*4)**2.\nAnswer: 716797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1663579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 397 = -400. Let v(r) be the first derivative of -1\/2*r**2 + z - 7\/4*r**4 + 0*r + 0*r**3. What is the second derivative of v(d) wrt d?\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 69*x + 107*x - 33*x + 23*x.\nAnswer: 166*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 + 35*v + 1. Let a(l) = 4*l. Calculate a(y(i)).\nAnswer: 4*i**2 + 140*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes before 8:28 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 85 * 4.3982.\nAnswer: 373.847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u be (56\/(-48))\/(5\/(-30)). Let v(k) = 0 + 2*k + 7 - 5. Determine v(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -19*n - 6. What is the units digit of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**3 + i**2 + i. Let c be x(0). Let k = -6 - -5.88. Let y = k - 0.08. Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x - 4*x + 2*y + 53, -2*x = -3*y - 110. Let w = 64 - x. Find the third derivative of w*k**5 + 42*k**5 + 7*k**2 - 10*k**5 wrt k.\nAnswer: 2100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 20\/9 in 3, 3\/2, 7\/3, 2, 11?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-5 - (3 + -6)) + -5 + 4 - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(133) - sqrt(133)) + sqrt(133))*-5)\/(sqrt(7)*4*-1 + sqrt(7)).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002122052215 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 163756295 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -220*s**3*x**2 - 2*s**3*x - 154*s**2*x**2 + 41*s*x - 2*s - 7*x wrt x?\nAnswer: -440*s**3 - 308*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -81, -85, -93, -105, -121?\n\"Answer: -2*c**2 + 2*c - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4714\/11 + 132\/(-242). Let p = f - 249. List the prime factors of p.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -474*r = -558*r. Determine t so that -3*t**2 + 1\/3*t**4 + r*t + 0 + 0*t**3 = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1 + 4. Let c = -4.8 - -3.1. Let x = 1.4 + c. What is the third biggest value in x, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the second derivative of 1\/3*x**3 + 1\/20*x**5 - x + 0 + 1\/6*x**4 - 1\/2*x**2. Is f(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/171, 4\/5, 1, -4, 0 in increasing order.\nAnswer: -4, -2\/171, 0, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the second derivative of -1\/10*s**6 + 0*s**3 + 1\/70*s**7 + 0*s**2 - 4\/5*s**4 - 33\/50*s**5 + 0 - 32*s. Determine k, given that p(k) = 0.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - ((7 - 9) + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4556*g**3 - 3*g**2 - g + 686 wrt g?\nAnswer: -27336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-18)\/27*(-27)\/45. Let -2\/5*g**5 - 4\/5*g**3 + u + 4\/5*g**2 - 6\/5*g**4 + 6\/5*g = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5347672 and 220.\nAnswer: 26738360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1399544?\nAnswer: 2, 174943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (13 - 4) - (19 + -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*n**5 + 2*n**5 + 3*n**5 + (n**4 - 2*n**4 - n**4)*(-1 + 2*n + 1) - n**4 + n**4 - 2*n**5.\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = i + i + 3*x, 2*i = 4*x + 2. Let n(m) = -21*m + 14. Let j(b) = -18*b + 12. Let t(a) = 6*j(a) - 5*n(a). Determine t(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 732 = -2*b, -o - 1085 = -2*b - b. Find the first derivative of -b*k + 24 + 729*k - 368*k + 43*k**3 wrt k.\nAnswer: 129*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the third derivative of 0*p**4 + 0 + 0*p - 1\/5*p**5 + 0*p**3 + 0*p**6 - 1\/35*p**7 - 9*p**2. What is the third derivative of i(b) wrt b?\nAnswer: -144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -92*y + 1099. Let h(m) = 69*m - 820. What is 7*b(z) + 9*h(z)?\nAnswer: -23*z + 313","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the second derivative of j**4\/12 + 4*j**3\/3 + 17*j**2\/2 + 343*j. Let i(b) = 2*b**2 - 8*b - 17. Let t be i(5). What is c(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45609915859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 2*h**3 - 2*h**2 + 36*h - 382. Calculate y(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21094949 to the nearest integer?\nAnswer: 4593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**2 + 8. Let l be j(0). Suppose 0 = 5*c - 3*c - l. Suppose -109 = -h - 2*m - 3*m, 0 = -m + c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.17336599 to four decimal places.\nAnswer: 0.1734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-369 - 92 - 671 - 694)*(4 + 1 - 3)*(-4*w + 7*w + 2*w) to the form n + m*w and give m.\nAnswer: -18260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-6)\/60)\/((-18)\/10). Let q(i) be the second derivative of -i + 1\/3*i**2 - 2\/9*i**3 + 0 + m*i**4. Factor q(h).\nAnswer: 2*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 591*m + 13 + 1559*m - 10 - m**2 to the form q*m**2 + l*m + h and give l.\nAnswer: 2150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -20*m**4 - 17*m**3 + 9*m**2 - 23*m. Let y(b) = -7*b**4 - 6*b**3 + 3*b**2 - 8*b. Let g(z) = -6*q(z) + 17*y(z). Determine l, given that g(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 67744 to the power of 1\/2, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -10100, -20229, -30358, -40487?\n\"Answer: -10129*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -3*m + 41, -m + 2*t = -0 - 22. Let a be 1\/(4\/m)*47\/(-3). Let d = -27 - a. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -11900.02349 to the nearest integer.\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + 6 = 3*b - 5*j, 0 = -3*b - 3*j - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -u - 11*u. Which is the closest to 67? (a) -3\/2 (b) u (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, g: 6, d: 7, x: 6}. What is prob of sequence dqx?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put together -34062372271 and -0.4.\nAnswer: -34062372271.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y - 5*y + 0*y)*(y**3 + 3 - 3) - 7*y**4 + 11*y - 11*y.\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the second derivative of -q**4\/12 + 7*q**3\/3 - 11*q**2\/2 - q. Let w = -2 - -8. What is the tens digit of a(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.17, 3, -3\/7, -294\/125 in increasing order.\nAnswer: -294\/125, -3\/7, -0.17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -8*v - 3. Let j(y) = -y - 1. Give -5*j(b) + m(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from epcvppvvpnv. What is prob of sequence ve?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 19 + 6 = 0. What is the second derivative of 4*f + 3*f**y - f**5 + f**5 - 7*f wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 463?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, v: 1, i: 1}. What is prob of picking 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -5*n, 2*n - 40 = 2*x - 4*x. Let y(u) = -u**2 + 3*u + x*u**2 + 1 - u. Give y(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 263*x = -64*x + 3006*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 34373*j**2*o**2 - 31*j*o**2 - j*o - o + 16 wrt j?\nAnswer: 68746*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from oeote?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 + -1. Let j = 0.23 + -0.09. Let y = -0.24 + j. What is the nearest to y in -0.3, 4, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**2 - 5*d + 8. Let j be y(-7). Let u be (j\/9)\/(4\/30). Let c(n) = -n**3 - 4*n**2 + 3*n - 5. Determine c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -162*c**2*g + c**2 - 14*g - 3 wrt c.\nAnswer: -324*c*g + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 25*(-33)\/1815 + 0?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**3 - k**2 + 47. Let t be o(0). Let p be (-3)\/((-4)\/((-4)\/(-1))). Suppose p*h - 129 = 3*c, -2*h - c + 30 = -t. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-14)\/(-8) - (-1)\/4. Suppose 0 = -3*a - 0*g + p*g + 5, 0 = 2*a - 3*g. Let w = -5234\/3 + 1745. What is the nearest to w in 4\/7, a, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 14*o**3*t - 4406*o**3 + 1538*o*t**3 + 5 wrt t.\nAnswer: 14*o**3 + 4614*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 3, v: 2, t: 6, o: 1}. Give prob of sequence yo.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -233 (base 13) in base 2?\nAnswer: -101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 455760 divided by -5697\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -5366138, -5366139, -5366140, -5366141, -5366142?\n\"Answer: -t - 5366137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**3 + 4*c**2 + 6*c - 7. Let t be q(5). Suppose 2 = -i, -5*x - 3*i - 36 = -0*i. Let k be (12 + -11)\/(t\/x). Solve k*w - 15 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 304984267?\nAnswer: 7, 17, 1063, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o**5\/5 + 66*o**4\/5 + 284*o**3\/5 + 96*o**2\/5 - 448*o\/5 = 0. What is o?\nAnswer: -28, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((21\/(-14))\/3)\/((-7)\/7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2199 and 532891.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5354836448101\/6096 - 878418050. Let y = a + 20\/381. What is the common denominator of y and 1070\/4*7\/315?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -41207229.1 rounded to the nearest one thousand?\nAnswer: -41207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 1151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 98*g + 104. What is the tens digit of i(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1874735 divided by -8885.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 69 divide 1397764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 138 - 148. Let i be g\/4*(-24)\/10. Solve -5*x + 16 = i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 986, 1971, 2956, 3941, 4926, 5911?\nAnswer: 6896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26307 is divided by 224?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 7*v**3 + v + 1. Suppose -3*h = -h - 4. Let k = -3 + h. Calculate y(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*r - 16 = 25*r. Let p be 1*(r - (2 + -2)). Let d be (32\/40)\/(p - -2). What is the closest to 0 in d, 2\/9, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*z - 4 = -4*x - 24, 2*z - x = 2*z - 3 - 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6.6 + -7. Let v = 0.1 - 0.2. Let j = -1.9 + 2. What is the nearest to v in x, -2\/17, j?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -345441898 rounded to the nearest one hundred thousand?\nAnswer: -345400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let 5*t**2\/2 + 19363*t\/2 + 15484 = 0. Calculate t.\nAnswer: -3871, -8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**3 - 2*p**2 + p + 6. Let a be v(-2). Sort -3, -5, -1, a in descending order.\nAnswer: a, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 24\/16*2\/(-6)*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.6 * 0.1035947\nAnswer: -0.06215682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -z + 5*m - 6 = 0, 0*m - m = 4*z - 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be 8*(-3 + 20\/8). What is the units digit of -6*8*g\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 649 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 858899005 and 797.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4608\/(-1920)*875\/(-75).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in -2\/7, -19, 1, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3225300, 6450853, 9676406, 12901959, 16127512, 19353065?\nAnswer: 22578618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/27, 1\/10, -13559?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52 = u - 14*u. Suppose 3*b + 6 = u*r - 2*r, 0 = 4*r + 4*b - 12. Suppose -r*p = -469 + 121. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -2 + (-3 - (-4 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/628830 and 11\/135.\nAnswer: 628830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (288\/140 + 254\/(-4445))\/(-43)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1144*t - 10*t - 814 = -4*k - 3102, 2*k + 2*t + 14 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -16879\/13 + -1563\/26. Let b = -1394 - x. What is the common denominator of b and 2\/3 + (-77)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 4*r**2 + 27*r + 13. Give k(-8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Total of -371929.025044 and -0.1.\nAnswer: -371929.125044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be (13 + -12)*(0 - 4)\/(-1). Suppose -2*i + 2473 = -3*k, 4891 = v*i + 3*k + 2*k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*k + k - 4*k)*(-316*k + 284*k - 71*k - 581*k).\nAnswer: -684*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11.3 - 0.3. Let q be -2 + ((-96)\/(-256))\/((-1)\/(-4)). Let s be (-2)\/(-3)*45\/6. Which is the nearest to q? (a) -1 (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**2 - 13*p - 58. Let u be k(17). Suppose 0*b + 5500 = 5*b. Suppose -b = -u*x + 5*x. Calculate the highest common factor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yqcyqqqqqqycqcqyqcq. What is prob of sequence qc?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 29\/9030 and -2\/2150043.\nAnswer: 21500430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8483 - 8358. What is the fifth biggest value in -5, -0.1, 2, 0, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -3*c + 9. Let p be l(2). What is the third derivative of 0*v**2 + 9*v**3 - 9*v**p + 3*v**5 - 3*v**2 wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 2, -412 in descending order.\nAnswer: 2, 1, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4505?\nAnswer: 5, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 6626 = 2090. Let i be (-480)\/o + 2\/21. Which is the closest to 0? (a) -2\/29 (b) i (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64 a factor of 1854400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 806.98 - 807. Sort 7, j, -9.\nAnswer: -9, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**2 - 26493434*q - 26493436.\nAnswer: 2*(q - 13246718)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -6*d. Let z be x(-1). Let n be (-2)\/(-4)*(2 + 0). Let p = z + n. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 - 72.5595022.\nAnswer: -82.5595022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**3 - g**2 - 1. Let h(x) = -635*x - 3. Let z be h(0). Let s(q) = -23*q**3 + 3*q**2 + 3. Calculate z*d(m) - s(m).\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 2*d - 9. Let c be r(6). Solve -4*u = 1 + c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-12)\/(-14))\/((-42)\/(-882))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/147 and 121\/46620.\nAnswer: 326340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2747 - 219. Let a = 4775077\/10 - 480464. Let x = b - a. Find the common denominator of -30 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -327.7 + 327.3. Which is the second smallest value? (a) 0 (b) j (c) 0.16 (d) 0.4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.3 - 0.1. Let t = 0.8 + s. Let m = -0.9999975 + t. Round m to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(5040) + sqrt(5040))\/(-1*sqrt(7)*-2)*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w**(-20)*w)\/((w*w\/(w**(-2\/5)\/w*w))\/w))**(11\/5))**(-30) assuming w is positive.\nAnswer: w**(6732\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -2*c**3 + 2*c**2. Let a be p(2). Let z be 3 - (a\/(-2))\/1. Suppose 4*w - 153 + 153 = -7*w. Which is greater: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mxxxxxxxo. Give prob of picking 2 x.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.026 and 0.7601?\nAnswer: -0.0197626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 778 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 741 - 741.0331. Let t = 4.0931 + x. What is t rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 646*x**2*z**4 + 2*x**2*z - 46*x*z**2 + 466*x*z + 7681*z**4 - 26*z wrt z?\nAnswer: 15504*x**2*z + 184344*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1113?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - l + 23 = -82, -115 = -5*j - 3*l. Calculate the remainder when 198 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -220*h**2 - 113305*h - 2580. Determine n(-515).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d**2 - 3*d + 3*d)*(-1 - 4 + 6)*(-2*d + 5*d - d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 7*g**3 - g**2 - 3*g - 1. Let r be o(-1). Let v be 40\/r*(-126)\/28. Let d = -25 + v. Solve -d*p - 7 = 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-20)\/6)\/((-66)\/99). Suppose 6*k - 5*k - a*u - 187 = 0, -4*k + 3*u + 748 = 0. What are the prime factors of k?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(2\/5)\/((r**(1\/6)*r)\/r) assuming r is positive.\nAnswer: r**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 192\/120 - (-21)\/15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -4*-3*56\/48. Solve -27 = -5*b + w*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(-10) - 111\/15. Let m(u) = u**2 - 7. Let p be m(t). Let n = 203 - p. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12 - -19. Suppose m = 3*s - 29. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 5*d = -7, -2*v - 5 = 5*d - 1. Let m be (2\/(-3))\/(4\/(-6)). Suppose -2*a + m = 5*r, v*r - a - 7 = -2*r. Are -1\/5 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -12062, -12217, -12372?\n\"Answer: -155*g - 11907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-52)\/(-10) + (-1)\/5. Suppose -5*t + 15 = i - p, 2*i + 2 = 4*t. Calculate the remainder when i is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35 + -36 - (19 + -3 + 10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 164 = s, -3*m + 6*m + 2*s - 97 = 0. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 9? (a) 10 (b) -2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -2*x**2\/9 + 168*x + 2336282\/9 = 0. What is x?\nAnswer: -767, 1523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16 - (13 + 3) - (-3 - (-1 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 474054 is divided by 118511?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1431 and 28673?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1ce96 + -9?\nAnswer: 1ce8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 710*q - 4975. What is p(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1632?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from bmmbdbmmmbddmmd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1611534 divided by -805767\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/10 - (-432)\/80.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.2 (b) -19 (c) 1\/9 (d) 38 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0*(-3)\/18*(-2)\/6. Solve 0 = -2*u + q - l - 3, 6 = -u + 5*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 52323*u**2 - 8*u - 2. Let h be s(7). Suppose 0 = 2*l - 3*c - 3380000, -h = -5*l - c + 5886231. What is l rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 + (53 - 1) - 65.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3 - 192\/66)\/((-2)\/4). Suppose 4 = 2*v + 2*v, 5*t - 3*v = 2. Is h < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -3*i**2 - 31*i - 66. Calculate l(-17).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7456.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 302414816?\nAnswer: 2, 11, 83, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*k = 5943 - 5670 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (15*d - 9*d + 2 - 28*d - 2*d**2)*(-19*d + 26*d + 18*d).\nAnswer: -50*d**3 - 550*d**2 + 50*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -3*q**2 - 4*q - 2. Let n be w(-2). Let o = 0 + n. Let h = 15.4 + -15.3. Put h, -0.2, o in descending order.\nAnswer: h, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 403 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1190*-0.24.\nAnswer: 285.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -96 times -2\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -289, -279, -255, -211, -141?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -48*j**2. Let k(m) be the second derivative of -m**4\/12 - 5*m - 1. Calculate k(n(y)).\nAnswer: -2304*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from obbnboonobbobbjbbo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -19.5, 0.5, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2370 and 7110.\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -5*z**2 + 19*z + 5410. Calculate y(-31).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 31 + -26. What is the highest common factor of 25 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.506684m to millimeters.\nAnswer: 4506.684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 57 or 400\/7?\nAnswer: 400\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w - 2. Let n be b(4). Does 11 divide (-4)\/(-3)*57\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18137589983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 49 + 54 = -4*q, 4*q = -5*x + 129. Suppose -3*d + 8*d - 4*k - 90 = 0, x = 2*d - 3*k. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 6999, 14961, 22935, 30927, 38943, 46989, 55071, 63195?\n\"Answer: h**3 + 7955*h - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -197507 or -197506?\nAnswer: -197507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80)\/(-1*sqrt(4)\/sqrt(2)) - sqrt(360)*-2*3)\/(3*3*sqrt(392)*1*6).\nAnswer: 17*sqrt(5)\/378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:56 PM and 3:00 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 1, s: 2, u: 1, v: 1, x: 3, a: 3}. Give prob of sequence xuaa.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*s + 4*s - 9. Is 4 - (-1 - (-456)\/s) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -65738, -4, -17?\nAnswer: -65738","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -8*l**2. Let d(w) = -348*w**2 - 54*w - 15. Let n(i) = -51*i**2 - 8*i - 2. Let k(h) = -4*d(h) + 27*n(h). Determine k(j(v)).\nAnswer: 960*v**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((-1232)\/(-21))\/(-8)*-1*(-12)\/(-8)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.489 - -0.411. Which is the nearest to 2? (a) 2 (b) m (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 73.37603 centimeters?\nAnswer: 733760300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12364753, 12364755, 12364757, 12364759, 12364761, 12364763?\nAnswer: 12364765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 6855 = 5*w, 3*v - 2742 = -2*w - 2*v. What are the prime factors of w?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2472894 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2747508.4 rounded to the nearest 1000?\nAnswer: 2748000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 55 (b) -64 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 - -1. Let a = -40 + 45. Let q = -11 - -17. What is the nearest to p in -0.1, a, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -229*l - 210*l = 601*l - 56*l - 28536 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -33008500 rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k - 24 + 27 = 6*p - 58, 5*p + 2*k - 20 = -0*k for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.74 - -42.74. Let j = -42.53 + f. What is j rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 928 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1506 a factor of 1217071025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7.76*-0.6.\nAnswer: 4.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1205 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 2574696 divided by 1287348\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-100)\/(-80)*120\/275.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 15 or 311\/22?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 6*x**3 - 16*x**2 + 62*x - 9. What is the remainder when t(4) is divided by 102?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (5229\/(-153))\/(-7) + (-2)\/(-17). Suppose a*y = -12*y. Solve -4*q - 3*l = -y*l - 4, 5*l - 5 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 73 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -5*r + 1. Let t = 4 + -7. List the prime factors of h(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -127, -78, 259, 1028, 2373?\nAnswer: 4438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -6*v**2 - 5*v + 42. Suppose -5*w + 114 = -3*m, 3*w + 28 = 3*m + 100. Suppose w = 2*q + 5. Let f be j(q). Round f to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes after 1:31 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -207108847\/910 + 227592. Let w = x + -1\/70. What is the third biggest value in -5, w, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 - ((-8)\/(-4) - 106). Suppose -3*n = 5*r + 185 - 776, -i = -r - 5*n. Suppose -u - r = -5*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 37278 is divided by 289?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 43\/2 of a tonne?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 264.744 + 0.396. Round f to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 360 - 263*c**3 + 13*c**3 - 360.\nAnswer: -250*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:52 PM and 3:57 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4.2 + -0.2. Sort -0.13, y, -0.3 in descending order.\nAnswer: y, -0.13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3 + 2. Let q(y) = 8*y**3 - 23*y**3 + 11*y**3 + 3*y**2 - 2*y**2 + y + 0*y. Let h be q(d). Solve -h*z - 1 = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in 0.1, 4, -22.9, -38, -0.3, 2928?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 227484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and -2.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Do -6 and 1875 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -5*b**3 - 49*b**2 + 276*b - 46. Calculate c(5).\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -68 - -75. Solve z*k + 18 = 13*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7531 - 12298 - 77416 - 2*o.\nAnswer: -2*o - 97245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, l: 1, s: 1, c: 2, e: 1, z: 1}. Give prob of picking 1 i and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -65 smaller than -8231232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) 4 (c) -1\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 42182070 and 140.\nAnswer: 84364140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-46)\/(-8) - (-1)\/4. Let x(q) = 4 - 2*q**2 - q**3 + 86*q + 8*q**2 - 80*q. Is x(w) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 216303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of 41 and 4566.4.\nAnswer: 187222.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -19\/2 in 3, -1\/2, 1\/9, -878?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v - 3*c + 9 = 0, 5*v = -0*v + 3*c - 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 289179 is divided by 471.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 420\/2250*((-1188)\/(-154))\/(-9).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -181, -21, 3, -4, -3, -14 in descending order.\nAnswer: 4, 3, -3, -4, -14, -21, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 48816 and 15.\nAnswer: 244080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -141292338, -282584669, -423876996, -565169319?\n\"Answer: 2*h**2 - 141292337*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/11? (a) -5 (b) -9044 (c) -3\/8 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0 - -8 - (-50 + 52)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22425?\nAnswer: 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(2448)*-2 - sqrt(2448)) + -3.\nAnswer: -60*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*j + 166 = 71 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -2614 divided by 1\nAnswer: -2614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 194421643?\nAnswer: 13, 37, 71, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = 2*r - 28*r. Solve 3*u = 15, r*o - u - 15 = -5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 173.80347 + -58.319262\nAnswer: 115.484208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12259\/32712 - 1\/4089. Suppose 5*q - 155 = -3*g, -4*q + g + 56 = -68. Which is the smallest value? (a) q (b) x (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 * -6814.\nAnswer: -13628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, v: 4, f: 1, y: 2, o: 10}. What is prob of sequence vvx?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -163*a**2 + 2*a - 2. Let h(u) = 489*u**2 - 6*u + 7. Give -7*f(v) - 2*h(v).\nAnswer: 163*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose a**4 + 797*a**3 + 1591*a**2 + 795*a = 0. Calculate a.\nAnswer: -795, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -31*s**2 + 31*s**2 + 26*s**5 + (-2*s**2 + 2*s**2 - s**2)*(0*s**3 - s**3 - s**3) + 2*s**5 + 2*s**2 - 4*s**2 + 0*s**2.\nAnswer: 30*s**5 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k - 27 + 12 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1883\/9 + 209. Sort 3, q, 1 in descending order.\nAnswer: 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**2 - 9*y + 5. Let q be l(-10). Let o = 90 - 169\/2. Let c = -41\/6 + o. What is the smallest value in c, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 3*z - p - 113 = 0, -3*p = 5*z - 121. Suppose -2 - z = -5*f. Solve -2*l + f*a - 1 = 0, 5*a - a = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 3*w**3 + w**2 - 3*w**3 + 67 + w**3. Is q(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15914 - 15911. Let l = 10 - 6. Let c = 3 - 2. Sort y, l, c.\nAnswer: c, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 917566?\nAnswer: 2, 13, 35291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1495 a factor of 8819933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the third derivative of t**4\/4 + 16*t**2. Let o(z) = 21*z**2 - z - 1. What is the remainder when o(-1) is divided by b(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5313044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 9 = -o, -3*o + o - 2 = -2*p. Let i(g) = 3 + 5 + 2 - p + g. Let n be i(6). Calculate the highest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -a5a16 + 386?\nAnswer: -a5660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 + 0. Let q = a - -48. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((16 - 3) + -9 + -21 - 50) + -21\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 12 in 2, 0.1, 0.5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-2)\/(-1))\/(-12))\/((-2)\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -11881*z**3 - 202413*z**2 - 7416*z - 68.\nAnswer: -(z + 17)*(109*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 + -110?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 25*y + 8. Let a(r) = -26*r - 9. Let n(c) = 6*a(c) + 7*i(c). List the prime factors of n(3).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is v in -5*v**2 + 991835*v + 3967420 = 0?\nAnswer: -4, 198371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 27, 108, 243, 432, 675, 972?\n\"Answer: 27*y**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 72299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 + 0*i + 0*i - 6*i.\nAnswer: -6*i + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 85 * -1.18\nAnswer: -100.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 323 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0.0069 - -27926\nAnswer: 27926.0069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30577, -37579, -44581?\nAnswer: -51583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -o - 1 = 0, 57468*o + 15 = 4*a + 57469*o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*(75\/75)\/(5\/1*-1).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*b - 8 = 16*b + 38 + 58 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 + 5 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.04 + -0.06. Let m = v - -0.1. Let s be 1*(-1)\/9*1. Sort m, -2\/19, s in ascending order.\nAnswer: s, -2\/19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*l = -0 - 0. Let v(z) = -5*z + 1. Let y be v(-1). Suppose -y = -4*n + t + 18, 2*n - 12 = -3*t. Solve -n*h + h = l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12946120.\nAnswer: 2, 5, 11, 29423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-2250)\/15)\/3)\/((-2)\/2*(-3)\/3).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -36*n + 1. Let f(p) = -p. Give 3*f(o) - w(o).\nAnswer: 33*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 54, 59, 64?\n\"Answer: 5*c + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve x**2 + 2417*x - 2418 = 0 for x.\nAnswer: -2418, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.6 - -0.2. Let z = 1.15 + f. Let u = -0.05 - z. What is the second biggest value in u, -0.9, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -12217, -48849, -109903, -195379, -305277, -439597?\n\"Answer: -12211*i**2 + i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 41 - 40. Suppose -v + m = -24. Suppose 26 = 2*x - 4*c, 3*c + v = -2*c. Round x to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ceececeeece. What is prob of sequence ec?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 543 + 48. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -771 (b) 2\/5 (c) 15867 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.9 - -2.1. What is the nearest to 1\/4 in 0.4, w, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the first derivative of -s**8\/1680 - s**7\/210 - s**6\/60 - s**5\/30 - s**4\/24 - 2*s**3\/3 + 1. Let q(w) be the third derivative of r(w). Factor q(c).\nAnswer: -(c + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37 + 93 = 5*k. Let y = k - 18. Suppose o + 2 = 3*b, -4*o + 3*b + 20 = -y. Solve 3*h = h + o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v**3 - 13*v**2 - 13*v - 10. Let g be i(14). Suppose 3*h = -o - 3*o + 15, g*h = o + 1. Which is the nearest to -2? (a) 4\/5 (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 22\/143 - (-50)\/13. What is the nearest to 0.1 in 1, -1\/24, a?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 30*h + 7. Let j(d) = -61*d - 15. Give 4*j(o) + 9*k(o).\nAnswer: 26*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a - 3*a - 23. Let y(x) = 0*x - 25 + x + a. Does 2 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 2*c + (-1 - 2 + 1)*(-1 + 1 - 2*c) + 0 - c + 0 + 2*c + 2 - 2 - c - c + 0*c)*(1 + c - 1).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 51 + -21. Let i be (0 - 1) + 27\/c. Let n = -25 - -22. What is the second biggest value in 2, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -2*x**2 + 8*x + 17. Let v be b(6). Let d(z) = 2*z + 8. Let u be d(v). What is the tens digit of -6*(-99)\/u*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 2*g = 0. Let z be g + 1*1*-6. Let s = z - -12. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2135 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8078069 or -8078066?\nAnswer: -8078066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*s**2 - s**2 - 15*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8*b - 1313 + 1281 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5003610?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -133*o**2 + 464*o**2 + 464*o**2 - 463*o**3 wrt o.\nAnswer: -2778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence puc when three letters picked without replacement from hcucp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -1855 (base 10) to base 8\nAnswer: -3477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -g*q*z - 750*g*q + 24*g*z + 3*z + 4 wrt q.\nAnswer: -g*z - 750*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 277538 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -40240, -40239, -40238?\nAnswer: -40237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of m*n**2*q**2 - 28*m*n + 10965*m*q**3 + 91*n*q**3 wrt n.\nAnswer: 2*m*n*q**2 - 28*m + 91*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8593 and 14542.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 22734691158 - 22734747817.000133. Let r = -56675 - d. Let z = 16 + r. What is z rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2352 = -55332*a + 55276*a for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) be the second derivative of f**5\/20 + f**4\/2 + f**3\/2 + f**2 + 2531*f. Let l(j) = j**2 - j - 4. Let p be l(0). Give b(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0\/36)\/(-1 + 2). Solve 4*g + k = -u*k, 5*g = -3*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4.8*7020.\nAnswer: 33696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -13087 in 1, -0.128, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 47997 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -161\/197580 and 163\/8773440?\nAnswer: 780836160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 2, 3, -23448145.\nAnswer: -23448145, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -19? (a) -2 (b) 2 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4294353 and 22287?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3 + 2 + -2)*1. Solve 0 = -2*k + l - 3, -l + 0 + 4 = -c*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -104 - -316\/3. Find g, given that 0 + 2\/3*g + 2\/3*g**3 - d*g**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11 + -7. Let x = -6 - 1. Let y(b) = -14*b + 3. Let d(q) = q. Let p(o) = -3*d(o) - y(o). Let k(w) = 6*w - 2. Calculate u*p(j) + x*k(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the second derivative of j**4\/12 - 7*j - 69. Let v(d) = -52*d**2 - 3*d. Give l(v(o)).\nAnswer: 2704*o**4 + 312*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -195 - -194. Let x = 3.8 - 4. Let w = 0.3 + x. Which is the closest to w? (a) 1\/9 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the second derivative of 155*x**3\/6 - x**2\/2 + x. Let i be a(-1). Let o = i + 1095\/7. Put o, 3, 0.1 in ascending order.\nAnswer: 0.1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the third derivative of -w**6\/120 + w**5\/10 + w**4\/8 - 11*w**3\/2 - 2*w**2 + 92. Let c be h(7). Which is smaller: c or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -21 + 6. Let u = -25 - t. Let v = -10.113 - u. What is v rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12 - 4. Let y be (1*v)\/1 - 0. Suppose t + 13 = m - 3, -3*m + 8*t = -98. Is m != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -11, -4, 0, 3, -1, 4 in decreasing order.\nAnswer: 4, 3, 0, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/4 or 462054?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 2*c**2 - 5. Let v(x) = -x**2 + 3. Let o(i) = 3*m(i) + 5*v(i). Let w(d) = 232*d. Calculate o(w(a)).\nAnswer: 53824*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 30925649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6*(-1)\/(-255))\/(2\/(-10)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (20\/8*(-8)\/(-10))\/(-15)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 46546120 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -95*j + 122*j - 158*j - 1.\nAnswer: -131*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + -38 + 49 + 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -10 - ((4 + -3 - (19 + -9)) + -21)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of -2*r**2 + 0*r**7 + 1\/20*r**5 + 0*r**3 + 0*r**6 + 0*r + 0*r**4 + 0 - 1\/168*r**8. What is the third derivative of l(h) wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*j + 4816 = -15*j + 586. Calculate the lowest common multiple of 282 and j.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Round 409 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/342, 7\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00058733 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 0.065 (c) -2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -46 - -91. Suppose -b = -r - 4*r. What is the lowest common multiple of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -47 + (13 - -29 - 29 - -109)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 52*w - 724. Let q be a(14). Put -4, -2, -26, q in decreasing order.\nAnswer: q, -2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 2*y**2 + 6*y. Let o(j) = j. Determine 30*o(m) - 5*u(m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 1\/2, 5, -24?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u + 10. Let h(t) = -t + 7. Let z(v) = 5*c(v) - 7*h(v). Determine z(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*w + 4634784991 - 4634784991.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 296.2 (b) -1\/9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = -13*v + 2439. Suppose 3*q = -5*y + 424, 2*q = 4*q + y - v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 4*v - 5)*(3*v + 0*v - 7*v).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(1\/9))**(8\/3)*(y\/(y*y*y**(-6\/11)*y))**(-9))**(2\/37) assuming y is positive.\nAnswer: y**(7952\/10989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 27 (b) -52 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 72784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 540 and 36?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 13 = -5. Suppose -148 + 112 = -d*x. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.51 - 1.17. Let j = 0.84 - w. What is the smallest value in 0, j, -3, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = n, -4*n = -5*n + q. Suppose n = -l + 1 + 3. Calculate the remainder when 11 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -2*14\/20*(-186)\/651\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -616 + -2.93544707.\nAnswer: -618.93544707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u + 13*u = -486 + 246 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 428?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58*o**2 + 67 - 67.\nAnswer: 58*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b - 0*b + 5. Suppose b*h = p + 37 + 48, -3*h - 2*p = -51. Suppose -49 = -2*m + 5*a, 5*m - 3*a + h = 130. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*d**3 + 0*d - 2*d + 4*d**3 - 4*d**3 wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 298 + -213. Let a = 0 + 3. Suppose 2*k - 9 = w - 2*w, a*w - 67 = 4*k. Calculate the highest common factor of w and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.88 - 0.12. Let m be (3 - -2)*2\/2. Suppose -3*g - 8 = -o, 0 = -4*o + m*g + 1 + 10. Which is the closest to d? (a) 0.5 (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -a1c + 2c?\nAnswer: -9f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 235 + -232. Put f, -2, -1\/3 in descending order.\nAnswer: f, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 647570 is divided by 615?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1048*j**2 - 1048*j**2 + 12*j**3.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*w + 34*w = 63. Sort 1, 7, -2, w in decreasing order.\nAnswer: 7, w, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 95806289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c + 19 - 19)*(94*c + 4306 - 4306 + (-3 + 3 + c)*(-4 + 4 + 2)).\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z = 3*p + 2, 6*p + 3*z = -3*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4.2 - 0.2. Let k = 8 - 8.053. Let h = -5.053 - k. What is the closest to -1\/4 in q, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4 + 13\/(52\/6048)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p + 127. Is 19 a factor of b(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(3 + sqrt(88)\/(sqrt(72)\/sqrt(9) + sqrt(8)) + sqrt(33)\/sqrt(48)).\nAnswer: 9*sqrt(11)\/4 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) -7 (b) 2\/11 (c) -4 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 135\/2*u**3 + 5\/2*u**4 - 140*u + 0 - 75*u**2 = 0. Calculate u.\nAnswer: -28, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 424295 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 50*f + 43. Let b be y(-9). Let a = 2054 - b. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7 in 1\/7, 1727, 3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 44316 or -0.1?\nAnswer: 44316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -5*a**2 - 7*a - 2. Let w(f) = 25*f**2 + 53*f + 20. Let v(i) = 8*i**2 + 18*i + 7. Let n(k) = -8*v(k) + 3*w(k). What is 13*c(s) + 6*n(s)?\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**3 + 35*p**2 + 5*p + 86. Let o be h(35). Solve -3*x + o - 255 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.0756616kg to nanograms.\nAnswer: 75661600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is (-196742 - 197)*(0 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -r = -5*r + 58*r - 1512 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3319374 divided by 1106458.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Sort -70, 5, 95, -3, -11 in ascending order.\nAnswer: -70, -11, -3, 5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 832632 is divided by 43821?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-125)\/2375)\/(-3 + (-77)\/(-28))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = 3*v + 52, -t - 4*v + 0 = -32. Suppose 17*d - 406461 = -t*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2950*h**3 + 4699*h**3 - 6786*h**3)*(2 + 0 + 0).\nAnswer: -10074*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 18*d**2 + 13*d - 15. Let l(p) = 9*p**2 + 6*p - 7. What is 13*l(a) - 6*y(a)?\nAnswer: 9*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -6*l. Let m(s) = 265*s + 10071 + 324*s - 10071. Determine u(m(c)).\nAnswer: -3534*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 7*k + 1. Let p be g(-2). What is p rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 1 = -1. Suppose v*b + 4*h - 22 = 0, -3*b + 3*h + 6 + 9 = 0. Let w = b - 5. Calculate the smallest common multiple of w and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 148 at least 141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -34a8 + 24?\nAnswer: -3484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 19*o**2 - 5*o - 5. Let g be (-1)\/(9\/135*3). Let a(c) = -276*c**2 + 72*c + 72. Give g*a(f) - 72*p(f).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be 195\/26 - 1\/2. Solve 4*z = 3*b + w*z - 18, 5*b - 2*z = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3037.7 - -3038. Which is the fifth biggest value? (a) w (b) 1\/2 (c) -1\/22 (d) -1\/6 (e) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-1)*b*b*b)**(-1\/16)\/(b\/(b\/b**(-7))*b*b\/b**(-3\/7)*b*b))**(-1\/20) assuming b is positive.\nAnswer: b**(-137\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/p**(-26))\/p**17*(p**(4\/19))**(-1\/11) assuming p is positive.\nAnswer: p**(2086\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -5*((-4 + -6*(-1*sqrt(684) + sqrt(684))*2)**2 - (0 + ((2*sqrt(684) + sqrt(684))**2 - sqrt(684)) + -3)*5).\nAnswer: -150*sqrt(19) + 153748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, m: 1, e: 2, k: 1, a: 4}. What is prob of sequence kta?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2, -5, -36, -3 in ascending order.\nAnswer: -36, -5, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 273*h - 271*h - 4*y - 190 = 0, 0 = 5*h - 5*y - 430. What is the biggest value in 4, -2, -2\/7, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(sqrt(539) + sqrt(539) + -4) + -2 + sqrt(539)*-1)*6 + 2 + 5)**2.\nAnswer: -13356*sqrt(11) + 177445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.719 + 2.119. What is the nearest to -15 in 0.22, 1, b?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -92 - -55. Let i = k + 39. Put 30, 0.5, -4, i in decreasing order.\nAnswer: 30, i, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3 + -1 - (19 + -20). Is n <= 12\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*n - 305*n - 313*n + 637*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*b + 2*b**3 + 17*b - b.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 7948, 15905, 23862?\n\"Answer: 7957*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be -3 + 4\/2 - (-4 - -5). Let l be (-9)\/b - 11\/22. Suppose u + 10 = l*z - z, -5*z + 6 = u. Solve -k = k - z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 24 - -3010110?\nAnswer: 3010134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -7*t**3 - 186*t**2 + 63*t - 66. Let q be k(-27). Solve 0 = 7*i - 77*i + q for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22017.\nAnswer: 3, 41, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1100*u + 4257*u + 330*u + 5005*u)*(-4*u + 0*u + 2*u)*(-u + 4 - 4).\nAnswer: 16984*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -33 - -45. Differentiate -b + 1 - 2 + 5*c - 2 wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -10788500 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be 75\/27 + (-4)\/(-18). Let w = t + -5. Let o be w\/3 + (-1)\/12. Is -1 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + v = 3. Which is the third smallest value? (a) v (b) -0.3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -391*v**4 - 1093 wrt v?\nAnswer: -1564*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2637 + -1514. Let l be 3\/(6 + n\/693). Is l smaller than 296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 14.7 + -14.8. Does m = -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 105 and 789979449.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {x: 2, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 89*d + 18 = 2*i + 93*d, -2*d + 18 = -11*i + 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 13607389585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 680873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from pooorurpooruroruppr.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify z\/(z*z*z*z**(-17))*(z*((z\/(z*z**18))\/z)\/z)\/z assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -12, 15, 76, -2, -4 in ascending order.\nAnswer: -12, -4, -2, 15, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 137 minutes after 11:29 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.27 - 0.058. Let u = t - -0.128. Which is smaller: 4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 3216 = -4*a, 0 = -2*j + 7*j + 4*a - 4015. Suppose 0*t + j = 17*t. List the prime factors of t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -8*d + 106. Determine i(9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 39 + -13. Let o be y\/8 - 3\/12. Solve -9 = 3*r + o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1469, 1467, 1465, 1463?\n\"Answer: -2*m + 1471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 0.5, -4\/3, 0.3, 2\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -344*o - 220 + 50 + 55 + 55 + 59.\nAnswer: -344*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 + -2251241?\nAnswer: -2251250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be 12\/45*(-15)\/6. Let d = -0.65 - -0.44. Let m = d + 0.31. Sort -1\/5, m, v in decreasing order.\nAnswer: m, -1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + -1 + 1 - 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1.085 - -4289\nAnswer: 4287.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 3*x**2 + x - 3. Let i(v) = 4*v**2 - 4. Let t(z) = -2*i(z) + 3*n(z). Let f be t(-4). Find the third derivative of -2*r**2 + 6*r - 6*r + f*r**3 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:16 PM and 3:08 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -24797.71 and 1?\nAnswer: -24797.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2604 in -1\/5, -6338, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5\/4, 1\/2, -236.537?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -20*y + 1. Let c be (7 + -4)*2*1\/6. What is x(c)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 181196 is divided by 8213.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 1, -84922 in increasing order.\nAnswer: -84922, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 1aa91b9 (base 12) to base 4.\nAnswer: 111232333131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 455350 by 14.\nAnswer: 32525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*y - 5*j + 1 = -7*y, 2*y + 4*j - 2 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62 = -4*w - 2*n, 4*w = -3*n + 7*n - 56. Let o = 9 + w. Find the common denominator of 25\/3 and (-18)\/8*4\/o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -23*f**2 + 6. Suppose 4 = -0*m + m - w, 4 = 2*m + 2*w. Let v(d) = -46*d**2 - d + 13. Let k(o) = m*v(o) - 7*u(o). What is the units digit of k(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1953 + 29a?\nAnswer: -1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-20)\/(-15)*(-6)\/(-16)*4. Suppose -q*i + 1 = -3. Let c(v) = 12 - 2 - 14*v**i - 9. Calculate c(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-7 - 1)*(-636 + 634)*-44\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*m - 14*m = -18*m. Let y = 184\/197357 - 30379577044\/20722485. Let d = 1466 + y. Are m and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*f + 19*f + 6*c + 10 = 0, -4*f + 36 = -4*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = -10 + 58. Suppose -16 = -3*t - t - 2*y, -2*t = 5*y - j. Solve -4*n + 11 = -a, t*a - 14 = -3*n - 2*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - f + 120 = 0. Suppose 8*l - f = 5*l. What is the greatest common factor of l and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(1\/4))**(-37)\/((h\/(h*h**(3\/2)\/h*h)*h)\/h*h\/h**(-3)*h))**(3\/17) assuming h is positive.\nAnswer: h**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3\/8 (b) -4\/3 (c) 0.026 (d) 0.03 (e) -0.9 (f) 3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24*-1.1.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1026\/8 + (-7)\/28. What is the highest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*d**2\/4 - 1121325*d\/4 + 6448280.\nAnswer: -5*(d - 23)*(d + 224288)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 111*k + 4113 - 339 = 0. Sort -18, 4, 0, k.\nAnswer: k, -18, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-2) - (-3)\/4)\/(24895\/7660).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -19055600 rounded to the nearest 10000?\nAnswer: -19060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 3*s = -13 - 17, -s = -2*z + 80. What is the greatest common divisor of 105 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 562*b*x**3*y + 743*b*x**2 - b*x - 2*b*y + 2*b - 14*x**6 - 3*x**2*y wrt x?\nAnswer: 3372*b*y - 1680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d = 27*l - 174, 0 = 99*d + 100*d - 202*d + 3*l - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 243*l**5 + 504333*l**4 + 262042761*l**3 + 377703411*l**2 + 129069168*l + 12904428 = 0. What is l?\nAnswer: -1037, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u and 1 x when three letters picked without replacement from uuxuuxuuu.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10*b**2 + 5*b**2 + 6*b**2 + 0*b**2 + 0*b**2 + 2*b**2 + (-1 + 5 - 2)*(2*b - 2*b + b**2))*(-2*b**3 - 1 + 1).\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0966999886 - -56.66?\nAnswer: 56.7566999886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4308 is divided by 430.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -94 + 162 - 68 - 6*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1102222 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12.35 - -12. Let i = 5.888 - -0.062. Let b = h + i. What is b rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 4 = 2*w, -5*j + w = -17 - 2. Let s be 0\/(-2) - 30\/(-2). What is the greatest common divisor of s and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*c + 227 = 83. Put 35, c, -2, -0.08, 1 in ascending order.\nAnswer: -2, -0.08, 1, c, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -13652 - -5?\nAnswer: -13646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = n - 0*n + 7, -2*n + 2 = -2*d. Suppose d*v - 4 = 3*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (4943\/(-8685))\/((-1)\/(-13)). Let o be (-1*1 - 0) + (-144005)\/(-144171). Let p = o + h. Which is greater: p or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 54 - 53.913. Let u = -0.087086 + t. Round u to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 2370, 4741, 7112, 9483, 11854, 14225?\n\"Answer: 2371*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/4, 3\/8, -0.5, 97 in increasing order.\nAnswer: -0.5, 1\/4, 3\/8, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/1521728 and -107\/806.\nAnswer: 1521728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 29*o**2*y + 392991156*o**2 - 3016101*o*y**4 wrt y.\nAnswer: 29*o**2 - 12064404*o*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = -r - 0*r + 1, 3 = 3*r - d. Let o(i) = 1 - r + 0 + 4 - 3*i. Give o(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 8) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 18\/45*(-35)\/(-1). Suppose -4 = -7*j + 9*j, 4*g + j = z. Solve 6*p - g + 22 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -59, -1\/6, -2\/9, 1\/2, -2.\nAnswer: -59, -2, -2\/9, -1\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put together -156728 and 3.93151.\nAnswer: -156724.06849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-8)\/(-6) + (2340\/27)\/52. Let c(v) be the first derivative of -2*v + 1\/3*v**l - 11 - v**2. Calculate c(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 207171 < 207175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 2*w = 147, v + w = 2*v - 49. Calculate the remainder when v is divided by (-50)\/4*(-324)\/(-405) - -28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1207195\/987 - ((-4)\/(-42))\/1. Suppose 4*n - 92 = -3*h + c, -4*h + n = -1747. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5804 greater than 830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the third derivative of -p**6\/180 - p**4\/6 + 7*p**3\/6 - p**2. Let f(t) be the first derivative of b(t). What is the derivative of f(u) wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-h**2 + 3*h**3 + 0*h**2 - 2*h**3)*(44*h + 129 - 129) to the form a*h**4 + j*h**3 + t*h**2 + n*h + d and give a.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = -2*l - 27068998, -r - 45114996 = 4*r + 4*l. What is r rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2*(-7 + -1) - (-6141)\/(-414)*(-28)\/26?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -15 (base 6) to base 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -102222002212 (base 3) to base 14\nAnswer: -61ba8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 408 minutes before 1:49 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.108 - -31.392. Let p = h + -31.154. Let w = p + 0.044. What is w rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 12 = 2*y, 11 = -y + 4*x - 0. Does -5\/3 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of v**3\/3 + 7*v**2\/2 - 13*v - 3. Let l be u(-9). Suppose -l*q - 11 = -136. Calculate the remainder when q is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s\/s**(-2\/13)*s*s*(s\/s**(2\/5))\/s*s*s**(-1\/10)\/s**(-3\/5) assuming s is positive.\nAnswer: s**(553\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 8) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5440 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-34*63\/(-44268))\/((-3)\/(-2))*-1\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 4*z - 3*z = 392, 4*z - 16 = 0. Let l = -105 + n. Let i be (3\/((-9)\/l))\/((-3)\/54). Is i smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 3\/10, 80, -1.1?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -698*o**4 - 312 - 2204*o**2 + 4*o**5 - 3099*o**2 + 151 + 161 wrt o?\nAnswer: 240*o**2 - 16752*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {a: 3, p: 1, q: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36726723?\nAnswer: 3, 11, 31, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-12)\/48 + (-14)\/(-24). Let f(x) = x**2 - 5*x - 3. Let j be f(4). Let p be 84\/(-48)*(-3)\/j. Which is the closest to 1? (a) z (b) -10\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - (0 + -1)) + 2 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -t - r + 3, 0 = 2*t - 5*r - 9. Let g(d) be the third derivative of 11*d**6\/120 - d**4\/24 - 2*d**3\/3 - 2*d**2. Is 25 a factor of g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*a*j**3 + 5*a*j**2 - 3*a*j + a + 866*j**4 + 3*j**2 wrt j.\nAnswer: 18*a + 20784*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:43 PM and 9:03 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = 4*f - 415, 0 = 23*f - 28*f - 3*m + 523. Calculate the remainder when f is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2502*u**3*v**3 + u**3 + u + 924 wrt v.\nAnswer: -7506*u**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 0 times 51\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (12*q + 4 - 5*q - 2*q)*(-2*q**2 - 2 + 2).\nAnswer: -10*q**3 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes after 7:45 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4998 divided by -1666?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3 - v + 2*v - v - 15*v**3 wrt v?\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 15*n**2 + 109*n + 23. Is j(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*j**3 + 1 - 9*j - 1 + 21*j wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 213b6 (base 12) to base 3.\nAnswer: 2020001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -59364, -118722, -178074, -237420, -296760?\nAnswer: -356094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the first derivative of -5*x**3\/3 - 5*x**2\/2 + 30*x + 118. Determine o so that h(o) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 + -1. Suppose -4*w + w + 24 = h. Suppose -5*t + 105 = 2*t. Calculate the remainder when t is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 2*t**2. Let y(p) = -p**3 + 3*p**2 - p. Let w be y(2). Let m(f) = -f + f + 114*f**2 - 119*f**w. What is m(j(h))?\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 21 = j, 4*l = 3*j - 8*j + 132. Let f be ((-28)\/(-3))\/(3\/(-9)). Let m = j + f. Which is the second biggest value? (a) m (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -12.25 in -5, 1, -0.1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -11*g + 15. Let m be n(5). Let o = m - -43. Suppose -o*i + 241 = -2252. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 83*b + 396 - 372 - 111*b - 207*b. Calculate the remainder when y(-2) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6461.97 or -2?\nAnswer: -6461.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -7*q - 8. Suppose 0 = -0*s - 2*s. Suppose 2*o - o + 4 = s. What is the tens digit of d(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 2 + 1)*(-2*b + b - b)*(3985*b**2 + 69 - 3986*b**2 + 5*b**3 + 49) to r*b + s*b**4 + i*b**2 + p*b**3 + y and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -2*i - 16. Let o be t(-12). Solve -7*x = -3*x + o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -55*x. Let l(z) = 23*z + 35*z - 62*z. Calculate l(k(n)).\nAnswer: 220*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 7, -11, -57, -143, -281?\n\"Answer: -2*h**3 - 2*h**2 + 2*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*s + 9*s + 4*s. Let d(i) = 36 + 2*i - i**3 - 5*i - 8 + 2*i**3. What is the least common multiple of d(s) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 137 minutes before 12:03 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12.51103319 + 49.09.\nAnswer: 36.57896681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be (80\/24)\/((-4)\/(-6)). Let m be r - -13 - (-1)\/1. Suppose -3*t - 1 = -m. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 63 = 3*z + 48, 2*v = 2*z + 60. Let d = z + 78. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 135970150 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.4 + 1068\nAnswer: 1067.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8, 0, 46, 148, 324, 592?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -13, 41, 2, -5 in ascending order.\nAnswer: -13, -5, -1, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-1572)\/5502 - 131\/7\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 73, -8, -1, -5, 1, -23, 0.\nAnswer: -23, -8, -5, -1, 0, 1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**3 - 6*i**2 + 7*i - 4. Let b be g(5). Suppose 0 = -3*q - 0*q + b. Let o(l) = l**3 - 6 + 2*l**2 - l**q + 0. Determine o(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes before 6:00 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i - 5*b = -0*b - 41, 0 = 5*i - 3*b + 35 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.786204 months to years.\nAnswer: 0.065517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 21.42 + -17.42. Which is the nearest to -13? (a) s (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -3380 and -24757 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j = 0, -4*s = 701*j - 706*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(9\/6*-2). Let y be ((-2)\/(-4) + 0)\/(20\/120). Suppose y*d - 3*u = -5*u + 3, 4*d = u - 7. What is the nearest to d in l, -2\/7, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: 0.44*6389.78\nAnswer: 2811.5032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 133331?\nAnswer: 11, 17, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 68922*a + 345271*a + 5 - 2.\nAnswer: 414193*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuwuuuwuwuuuuu. What is prob of sequence wu?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 365437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u - 12. Let g(x) = 6*x**2. Suppose 9 - 4 = -5*d. Calculate the remainder when b(-21) is divided by g(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvid when four letters picked without replacement from iiivvvvivvddddidvii?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -4*o**3 + 4*o**3 + 15 - o**2 - o**3 + 0*o**3. Let r be y(0). Calculate the common denominator of -8\/11 and ((-22)\/r)\/((-4)\/6).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**2 + 8. Suppose 2*t + 4*v - 83 = -0*v + 45, -v = 0. Calculate the smallest common multiple of r(0) and t.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/59, 0.3, -2\/17, -3, 2.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0\/2)\/1 - -1. Let w = -96 - -98. Suppose 2 = 2*p + f - 1, w*f = -5*p + 9. Solve b + y = -p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23445.3 nanometers in meters?\nAnswer: 0.0000234453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 2*s**2\/13 + 18322*s\/13 - 18324\/13 = 0.\nAnswer: -9162, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0\/1)\/((-84)\/28).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68 = 5*s - 28. Let f(h) = -8*h + 46. Let q be f(8). Let r = s - q. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -6*i - 10. Let q be k(-4). What is the highest common factor of 70 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28681058.\nAnswer: 2, 7, 29, 41, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 - ((28 - 24) + (1 - -5) + -9) - -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/17? (a) -1\/4 (b) 4 (c) -0.01 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w, 1 x, and 1 v when three letters picked without replacement from {x: 1, v: 2, w: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -0.26485 + 1244699.81\nAnswer: 1244699.54515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c be (858\/65)\/(4\/30). Let w = c - 4. Let y = -1316 - -1366. Calculate the remainder when w is divided by y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3e305 (base 16) in base 6?\nAnswer: -5243141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 4, v: 7, o: 1, d: 1, f: 1, u: 4}. What is prob of picking 2 c, 1 v, and 1 d?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 278 - 282. Let u(z) be the third derivative of z**5\/60 + z**4\/24 + z**3\/3 + z**2. Give u(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3384 - -3390.887. Let r = z - -0.113. Let n = -0.7 - 0.3. Which is the third biggest value? (a) n (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m - 3*m - 2*m)*(-78*m + 147*m - 71*m - 21).\nAnswer: 6*m**2 + 63*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -91060628.000034 + 91060714. Let l = 86 - u. Round l to six dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 3*n + 2, -3*n - 2*a = 7 - 3. What is the tens digit of n*(-5)\/(-30) + 3*17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1670636*k**3*r**2 + k**3*r + 18157*k**2*r**2 - 12*k*r**2 wrt k.\nAnswer: 10023816*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21384*t**2*u**3 - 2140*t**2 - 289*t*u**3 + 1238*t - 2*u wrt u?\nAnswer: 128304*t**2*u - 1734*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the first derivative of z**6\/9 - 8*z**5\/15 + z**4\/6 + 20*z**3\/9 - 4*z**2\/3 - 16*z\/3 - 81. Factor g(r).\nAnswer: 2*(r - 2)**3*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 617523 is divided by 754?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 113085499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1806579 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 274*n = 231*n + 989. Calculate the remainder when 1234 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 97*l - 183 = 36*l. Suppose -2*i + 4*i = -u + 6, 5*i = 2*u + 6. Sort 1, l, 5, u.\nAnswer: 1, u, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 29207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5.1*0.2.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:42 AM and 7:22 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -266*x**3 + 4*x**2 + 12904?\nAnswer: -798*x**2 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iriiplitri. What is prob of picking 1 l, 2 r, and 1 p?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -6*l - 5. What is the remainder when j(-11) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -170 - -170. Let d = 75 - 75.2. Which is the closest to v? (a) -0.1 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5805*d**3 - 17329*d**3 + 5742*d**3 + 5668*d**3.\nAnswer: -114*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1654648 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -1071 (base 10) to base 8\nAnswer: -2057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1 + -1)*(2 - 28\/8). Suppose 4*n - 15 = -n, 621 = s*y + 4*n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 211 (base 5) to base 12\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q - 42 = -2*a, -5*a - q + 92 = 49 + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/2 > -3699\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 79647859 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 27, 5, -3, 1, -147 in increasing order.\nAnswer: -147, -3, 1, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 72 - -4062?\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*b - b - 3*b + 1 - 1 - b + (2 - 2 - 2)*(b + 0 + 0) + 4*b + b - 4*b + 6401*b - 344642 + 344640 + 681*b.\nAnswer: 7081*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2716 = 88*n + 9*n. Calculate the least common multiple of 609 and n.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3.4362 - 0.4362. Are -136 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-10)\/35 + (-111)\/(-21) + -2. Suppose -13211 = -y*j - 8*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16.66733 rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 69691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*i + 39*i - 461335. Calculate the greatest common factor of i and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 8 - (-2 - (-5 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2825714949 + 2825714949 - 10*m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*m**3 + m**3 - 3*m**3 + (0*m + 2*m + 0*m)*(2*m - m**2 - 2*m).\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kekk when four letters picked without replacement from {e: 8, k: 5}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -11\/31 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be 13\/11 - (-1 - -2). Let c(t) = t + 2. Let n = -21 - -14. Let s be c(n). What is the closest to -0.2 in 4\/5, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p - 3*k - 5, 5*p + 0*k = 4*k. Suppose p*o = -12, -2*g + 5*o - 10 = -183. What is the remainder when g is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-12*1\/(-4))\/((-5)\/(-5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 35*n = 2*k + 106, 4*k + 16 = 8*k - 4*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, 1.8, 0.1, 98 in increasing order.\nAnswer: 0.1, 2\/11, 1.8, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 125605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 62838.\nAnswer: 2, 3, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that -2*s**3\/3 + 74*s**2\/3 - 90*s + 66 = 0.\nAnswer: 1, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 335 (base 10) to base 9.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3820 - 2599. Let k be 6 + -9 + i\/405. Is k less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -20, 13, -3 in ascending order.\nAnswer: -20, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 11, q: 3, d: 4}. What is prob of picking 2 d and 1 q?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a be 51\/5 + (-1)\/5. Let f = -15 + a. Let u = f - -8. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(2*(sqrt(19) + 0 + sqrt(19) + -1 + 4) - ((1*sqrt(209) + sqrt(209) - sqrt(209) - sqrt(209))*5)\/((sqrt(11) + sqrt(176))*6 - sqrt(11))))**2.\nAnswer: 768*sqrt(19) + 5440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 36336.2 (b) 1 (c) 4 (d) -3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*p + 1 - 36. Solve -2*d - 13 = -p*j, -2*d - 3*d - 20 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 168407 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -16, -19, -22, -25, -28?\n\"Answer: -3*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 973 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**3 - 1060*z**2 - 2*z + 1060.\nAnswer: 2*(z - 530)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*(n**(1\/2)\/n)\/n*((n\/(n\/(n\/n**2)))\/n)\/n)**(9\/5)\/((n**(-2\/5)\/n)**(6\/11)\/(n**(-2\/7)\/n**(-1\/10))) assuming n is positive.\nAnswer: n**(-2203\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5*f**6 + 3*f**2 + 4*f**6 - 6*f**2 wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/582 and 13\/15?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 2.297 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 4 + 7 + (3 - 3 + 2)*(-2 + 1 + 3))*((2*s + 5*s + 9*s)*(2 + 1 - 1) - 2 - s + 2) as k + j*s and give j.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes after 5:05 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -3*a**2. Let b(y) be the third derivative of -y**6\/40 + 47*y**4\/24 + y**2 - 22*y. Let g(c) be the second derivative of b(c). What is d(g(h))?\nAnswer: -972*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 - 10*w**2 - 11*w + 2. Suppose 0*h - 36 = 4*h. Let i be x(h). Calculate the greatest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*v**3 - 12086378*v**2 - 18260072688048*v - 18260060601672 = 0. What is v?\nAnswer: -3021594, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -0.5, -2\/11, 9\/8, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 295753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -48.7 + 55. Let d = l + -6.30032. Round d 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 2043.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**30\/(q**(1\/47)\/q) assuming q is positive.\nAnswer: q**(1456\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v - 22 + 35 - 18 = 5*i, -16*v = -5*i - 65 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 20*d - 5*d - 75. Determine f so that -3\/5*f + 6\/5*f**3 - 12\/5*f**2 + 6\/5*f**4 + 6\/5 - 3\/5*f**d = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*c + 110 + 452 - 225 + 607 + 91 in the form v + l*c and give v.\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from koookooooogoogokgo.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -93 + -1 - (13230 - 13328).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p + 10. Let k be l(8). Suppose -s + 3*g = -17, 2*g - 5*g = -k*s + 22. What is the second derivative of a**3 - 2*a**3 + 3*a - 5*a + s*a wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 483, 2, -5, 3, 0.5 in increasing order.\nAnswer: -5, 0.5, 2, 3, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*n - 2 = 2*a - 17*n, -4*a + 11 = -n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-198)\/77)\/9*((-14)\/32)\/1.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 3 + (-3 + 3 + 1)*(3 - 5 + 1) - 14 + 3 - 1)*(2 - 9 + 1)*(-3*t**2 + 3*t**2 + t**2).\nAnswer: 66*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/13, -1, -673 in descending order.\nAnswer: 2\/13, -1, -673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8*q**2*w + 2*q**2*z + 5*q**2 - 7*q*w*z - 53*q + 1 wrt q.\nAnswer: -16*w + 4*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25501*a - 16153*a - 20973*a + 73211*a.\nAnswer: 10584*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/2691265 and 25\/97?\nAnswer: 2691265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*w**3 + 9*w**2 + 67 - 70 - w - 8*w**2 + (1 - 2*w - 1)*(w**2 - 2 + 2).\nAnswer: -4*w**3 + w**2 - w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 4704117267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -2*o**2 - 20*o + 43. Calculate c(-13).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 2377 - 42.\nAnswer: 2335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 32, 26, -0.5, 2, -1\/136 in descending order.\nAnswer: 32, 26, 2, -1\/136, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 7 - 15 = 0. Let w(q) = -14*q - 8. Let x(r) = 72*r - 143*r + 76*r + 3. Let z(m) = a*x(m) - 4*w(m). Let f(h) = 5*h - 8. What is f(b) - 6*z(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.01*-0.00696307\nAnswer: -0.0000696307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-n - 2 + 2)*(-3*n + 5*n + 2*n) + 13*n**2 - 4*n**2 + 3*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:22 PM and 6:49 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 6 (b) -691 (c) 1\/69 (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the second derivative of -5*q + 5\/2*q**2 + 0 + 0*q**3 + 1\/10*q**5 + 0*q**4. Differentiate v(g) with respect to g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -24 (base 12) to base 11.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -479530 + 6*r - r**2 + 479530 + 2*r**3.\nAnswer: 2*r**3 - r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6 + -2. Let r(q) be the third derivative of 1\/12*q**j + 0 + 0*q**3 - q**2 + 0*q. Let b(m) = m**2. What is r(b(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 22*w + 429. Determine p(-24).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xd when two letters picked without replacement from {x: 11, d: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1147\/131 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/106728062 and 37\/8.\nAnswer: 426912248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from ppipvhi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -17680 divided by 260\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -3*h + 24. Let o be g(8). Suppose o = 24*d - 26*d + 10. Suppose 7*a = d*a + 140. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 77 > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -10*p**2 + 3*p - 3. Let n(f) = 11*f**2 - 2*f + 2. Determine 3*n(v) + 2*z(v).\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -60*t**3 - 21*t**2 - 9. Let l(q) = -15*q**3 - 5*q**2 - 2. Let p(m) = -9*l(m) + 2*x(m). What is the third derivative of p(y) wrt y?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.1911 - -1.19095026. What is z rounded to 6 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from ssdtdldslp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.45019 rounded to 2 dps?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 18.06774mm to kilometers.\nAnswer: 0.00001806774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -236204 (base 8) to base 3\nAnswer: -11010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.06 + 9.94. Let y = -0.4916 - 0.0084. Which is the fourth biggest value? (a) p (b) -5 (c) y (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 8.317604 litres?\nAnswer: 8317.604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -5692, -5690, -5688, -5686, -5684?\n\"Answer: 2*l - 5694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -86 not equal to -603\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 818 = -5*h + 436, -3*h = -q - 422. Let s = 493 + q. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 10*z - 5. Is 15 a factor of c(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1400 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.071, -26, 0.3, -0.4?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1137*t**2 - 325079*t - 1504*t**2 + 325077*t - 1070*t**2 + t**3 + 1119*t**2 to the form h*t + v + f*t**2 + k*t**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.35 (b) 0 (c) 1 (d) 3 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 = 11*p - 117. Suppose -2*g - 5 = p*c - 28, 3*c = 5*g - 11. Put c, 0, -3, -4 in increasing order.\nAnswer: -4, -3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (22 - (-5 + 4 + -7 + 15)) + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 29 - 14 - 17 - 4*q**2 to s*q**2 + c*q + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -470, 2, 10, 7, 15, -1 in increasing order.\nAnswer: -470, -1, 2, 5, 7, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 2*w + 0*w = -208, 0 = y - 3*w + 110. Let m = 102 + y. Let f = -0.1 - -0.17. Which is smaller: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 + 10011100111000?\nAnswer: 10011100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -4*n - 11. Let z be f(-5). Suppose 3*i + 5 = 4*q - z, 0 = -2*q - 2*i. Factor -2\/11*k**q + 2\/11 + 2\/11*k**3 - 2\/11*k.\nAnswer: 2*(k - 1)**2*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.507412ml in litres?\nAnswer: 0.000507412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -8*m + 22. Let t(y) = -13*y + 42. Determine -5*f(o) + 3*t(o).\nAnswer: o + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -226 (base 16) to base 9.\nAnswer: -671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 815887 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve k + b = 100, 381755*b - 632 = -5*k + 381783*b for k.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -d = 21 - 19, 4*d + 99 = -5*r + 116 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -24, -31, -38, -45?\n\"Answer: -7*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 54, 4, -72, -168, -278?\n\"Answer: m**3 - 19*m**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -52*m + 13*m**2 + 52*m.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -4*d - 8, -5*d + 42 = -0*o + 4*o. Calculate the lowest common multiple of o and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 371\/(581\/996*-12)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6 - -4. Let h = 10 - 6. Sort -4, h, n.\nAnswer: -4, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12900 and 155316?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 240 - 74 - 15*f + 0*f - 3*f. Let o be m(19). Sort 5, o, -5 in descending order.\nAnswer: 5, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.111 + 0.734. Round y to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(272) + sqrt(272) + 2)**2.\nAnswer: -32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/4*(392\/21)\/(-7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -446*d - 8 - 18 + 441*d. Let o be a(-6). Solve 3*v - 5*v + o = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lccc when four letters picked without replacement from cclccccllccc?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -h**3 + 17*h**3 + 0*h**3 - 5*h**2 - 20*h**3.\nAnswer: -4*h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 13*v**2 + 19*v - 60. Let n be x(7). Let l = n - 211. List the prime factors of l.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 270 + -277 - (0 + 24) - 4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 209 + 200 = 0. Suppose d*p - 59 = -2. Suppose -4*c = 5*w - p, 2*c + 2*w = c + 7. Is c smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -33*w + 500. Determine k(14).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the second derivative of 3417*p**5\/20 + 353*p**3\/2 + 12463*p. Find the second derivative of u(s) wrt s.\nAnswer: 20502*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, -3, -5, 2, -20 in ascending order.\nAnswer: -20, -16, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y\/y**(9\/5)*y))\/y)\/y*y**(-2\/53) assuming y is positive.\nAnswer: y**(-328\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36581184?\nAnswer: 2, 3, 41, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12 - 20 - 1)*(3*l**3 - 3*l**2 + 4*l**2 + l**4 - l**3) - 3*l**4 + 4*l**4 + l**4.\nAnswer: -31*l**4 - 66*l**3 - 33*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8\/(6 + 222\/(-36)). Let l = -17 - k. Calculate the remainder when 91 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/75*-3*60\/36*-20\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -1. Let d(j) = 6*j**2 - 8*j + 4. Let n(f) = -4*b(f) - d(f). What is the second derivative of n(o) wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -6*h**3 - 10*h - 44 - 20*h + 3*h**2 + 5*h**2. Let c(r) = -5*r**3 + 9*r**2 - 31*r - 45. Let n(s) = -5*c(s) + 4*j(s). Solve n(d) = 0 for d.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 95.19094 hours to milliseconds.\nAnswer: 342687384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/3255 and 8\/115.\nAnswer: 74865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4.5 + -11.5. Which is the second smallest value? (a) 4 (b) h (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-56)\/168)\/((-7)\/(-9))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 70*b**6 - 21*b**5*g + 1228*b**2*g - 3*b**2 - 1 wrt b.\nAnswer: 8400*b**3 - 1260*b**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1066360297 to the power of 1\/3, to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = p, 5*q - 11*p - 104506 = -9*p. Is 104 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-50)\/(-180))\/(1\/3).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 1056 divide 816467551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -4*t**2 - 4*t - 2. Let c be x(0). Put c, -4\/3, -13.2, 0.5 in decreasing order.\nAnswer: 0.5, -4\/3, c, -13.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:11 AM and 11:02 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 12 = 2*r. Let h(v) = -v**2 - 6*v + 4. Let p be h(r). Let x be 2 + 3\/((-9)\/p). What is the closest to -1 in 0.4, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 52a46 (base 11) to base 8\nAnswer: 226507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Are 184 and 183 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 3*n. Let h(l) = 3*l**2 + l + 41. Give h(y(q)).\nAnswer: 27*q**2 + 3*q + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -15*j**3 - 18*j**2 - 3*j + 374. Let w(a) = -13*a**3 - 16*a**2 - 2*a + 375. Let q(s) = -2*t(s) + 3*w(s). Differentiate q(x) wrt x.\nAnswer: -27*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2640715 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1799673633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes after 8:11 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -138 + 645 - 120 - 262 - 4*s - 125.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x - 12, 4*u - 1385 = -2*x + 4713. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**3 + b - 1. Let l be (-450)\/(-55) - (-6)\/(-33). Let q(f) = 4*f**3 - 4*f**2 + 8*f + 24. Let p(i) = l*y(i) + q(i). Solve p(v) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -0*p - 5*p + 233, 4*p = 5*j + 211. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 22 + -26. Let h(r) be the first derivative of 2 - 2\/3*r**3 - 7\/2*r**2 - 6*r. Calculate h(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*l + 6*l + 15*l + 3 + 10*l.\nAnswer: 36*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 8590, 17724, 26870, 36034, 45222, 54440, 63694, 72990?\n\"Answer: r**3 + 9127*r - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 197 minutes after 10:18 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 12 - 52 = h, -4*o - 2*h = -40. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 112 (base 6) to base 3\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -20002*y**2 + 9953*y**2 + 10754*y**2 + (0 - 5 + 3)*(-2*y**2 + 6*y**2 - 3*y**2).\nAnswer: 703*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q + 5. Let j(y) = -y + 6. Let w(i) = -6*f(i) + 5*j(i). Let a(r) = r + 2. Let s be a(2). Let h = s - 4. Give w(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23249 is divided by 332.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0013352 to 5 dps.\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 45 = -5*i + 35, -88 = -41*w + 3*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -38.214 + 38.5. Let g = j - 1.286. Let h(w) = -w**2 - 5*w + 6. Let i be h(-6). Which is the closest to i? (a) g (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 354086.\nAnswer: 2, 177043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v**3 + v**3 - 5*v**3)*(-2*v + 1 - 1) + 3*v**2 - v**4 - 3*v**2 + (0*v**2 + 0*v**2 + v**2)*(2*v**2 - 3*v**2 + 2*v**2) + 48 - 48 - 61*v**4.\nAnswer: -57*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -56\/3? (a) -6\/11 (b) -248 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.5 + 1.12. Let p = -0.18 - v. Which is the biggest value? (a) p (b) -2\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -516, 0, -2 in increasing order.\nAnswer: -516, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-51)\/(49572\/24)*(-90)\/(-40)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 94065 and 5055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 1 - -3 - 19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u - 4*f = -4*u + 32, 414*f - 412*f = 15*u - 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/4791? (a) -0.1 (b) 0.4 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be -4*(-1 + 0)*(-4)\/(-2). Suppose -2*g = -3*s + 1, 1 = 3*s - r*s + 2*g. Let c be ((-3)\/(-2)*s)\/((-1)\/6). Solve c*j - 20 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18209, -12094, 4493, 36784, 90011, 169406, 280201, 427628?\nAnswer: 616919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4415 - -4430. Solve 3*v = s, -6*v = 3*k - 11*v + 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 + -9. Let c(f) = 1. Let j(d) = 197*d - 101*d - 95*d. Let s(p) = -c(p) + j(p). Determine s(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -3*s**2. Let l(f) = f - 1. Let b(a) = -3*a + 5. Let x(c) = -b(c) - 5*l(c). Calculate x(n(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -1500*r - 53955 = -8955 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -197377*g**2 - 615964*g**2 + 196332*g**2.\nAnswer: -617009*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -4*w**2 + 7*w - 2. Let g be f(4). Let t be -1 - (-1)\/((-6)\/(-236)). Let a = t + g. Does 0 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.1007 + -0.1. What is n rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in k**2 + 27*k + 7*k**2 - 27*k.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-14 - 13*c**2 + 14)*(-14 + 7 + 43) to the form g*c + y*c**2 + n and give y.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**2 - 10*r + 8. Let q be s(9). Let o be (-28 - -27)*(-1 - 0). Let k be (o - 4\/(-98)) + q. Which is the closest to 0? (a) 3 (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -45 - -67. Suppose -9*j = -11*j + 32. Let f = g - j. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the first derivative of 4*k**3\/3 - 8*k**2 + 15*k - 23. What are the prime factors of m(6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -47, -49, -61, -89, -139, -217, -329, -481?\n\"Answer: -d**3 + d**2 + 2*d - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1050*y**5 + 4*y**2 + 3222*y.\nAnswer: -21000*y**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 727083*f**4*z**3 + 215349*f**2 - 2*z**3 wrt f.\nAnswer: 17449992*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 47700 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 - -1. Suppose 0 - 2 = 3*x + j*w, 0 = -x + 2*w + 10. Calculate the remainder when x is divided by (4\/(24\/(-15)))\/(490\/(-392)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 12992 + -12993. What is the closest to -1 in 0.09, l, -12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in q**3 - 30513948*q + 359 + 30513948*q.\nAnswer: q**3 + 359","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -39 divided by 1176\nAnswer: -13\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 172, 1581, 5422, 12913, 25272?\n\"Answer: 203*r**3 - 2*r**2 - 6*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o**3 - 227*o**2 - 135*o - 29517. Calculate r(-227).\nAnswer: 1128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-2\/11)*t*t)**(-17)\/(t**(-6)\/t**(-1\/15)))**(-1) assuming t is positive.\nAnswer: t**(4121\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2 - (-873)\/70)*5\/2. Let n = k - 66\/7. What is the common denominator of n and -43\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = y - 3*r, 0 = -2*y - 2*y - 2*r - 12. Is ((-2)\/2)\/(y\/555) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m**2\/7 - 72*m\/7 + 920\/7 = 0.\nAnswer: -46, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of -232686 and 0.0415.\nAnswer: -9656.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 22 - 2*o - 9 + 20 - 7 in the form r + f*o and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1\/2914 + 2186\/1457. What is the nearest to 0.11 in -1\/5, k, -6\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 4 = m, -2*m = -4*b + 20. What is the lowest common multiple of b and 35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 12*s + 228. Give r(-20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -88746 (base 10) in base 12?\nAnswer: -43436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 376832 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6 is divided by ((-8)\/(-8))\/((-2)\/(1 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*u - 44 = -3223. What is the greatest common divisor of u and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8 + 10.1. Let v = x - -19.9. Let p = v - 18. Which is the closest to -3? (a) -0.5 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 40 = -5*x, 0 = x - 5*x + 8. Let j(s) = s**2 + 2*s - 8. What is the units digit of j(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/1910 and -37\/955.\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dydy when four letters picked without replacement from {y: 6, q: 2, d: 11}.\nAnswer: 275\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 17480756 and 9912.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 8459727 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/31 in -0.5, -1, -2\/143, -3, 1\/2?\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3 - -13.988.\nAnswer: 13.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -2 + (-10 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23805, 95222, 214255, 380910, 595193, 857110?\nAnswer: 1166667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 377.7689 litres in millilitres?\nAnswer: 377768.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 9*10 - (-2)\/2. Suppose 5*z = -b + 90, -3*b = -5*z - 1 + v. Suppose -k + 2*h + 1 = -z, -16 = k + 5*h. Solve -2*r + 5*q = r - 21, 3*q = -k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -22*w - 151*w - 3460 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(1700) + 1))**2 + -4.\nAnswer: 20*sqrt(17) + 1697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3665 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -2*v + 2. Suppose 5*z = -2*j + 7, 4*j - z = j + 2. Let r be (-3 - j) + 1 - 0. Does 8 divide a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -20*n - 25 + 25 as b*n + w and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((((y\/(y\/y**8))\/y)\/y)\/y*y)\/y**6)\/(y\/y**1)**(-40))**(-1\/6) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r + 4*r - 4*r)*(139 - 35 + 215 + 9).\nAnswer: -656*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.14 less than -2775?\nAnswer: -2774.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 19357233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -0.76, -3, -0.3, -0.1, 0.2, 1532?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-6)\/4)\/((-3)\/52). Let s = 36 - r. What is the units digit of 3\/9 + s\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hwhwwwwhwwwhwh. Give prob of sequence wwhw.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -254*c**2 - 245148 + c - c + 245148.\nAnswer: -254*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 37*k - 17. Let m(g) = -46*g + 18. Determine -6*f(s) - 5*m(s).\nAnswer: 8*s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11649 is divided by 740?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 16 + 233 = 5*r, 20 = -4*r. List the prime factors of h.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, -4, 2, 3, -74, -3 in descending order.\nAnswer: 3, 2, -3, -4, -25, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6*d**5 - 10*d**4 + 677*d**2.\nAnswer: 360*d**2 - 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes after 7:01 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*j + 3*j**2 + 581 - 5*j**2 - 583 + 0*j**4 - j**4 to the form y*j**2 + m*j + c*j**4 + w + s*j**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - -4. Let n(q) = -11*q**3 - q + 2. Let t be n(s). Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**3 + g**2 + 10*g - 1. Suppose 0 = 5*q - 62 + 42. Calculate u(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 7*j**2 + 650*j + 108. Let s(a) = -2*a**2 - 3*a - 27. Let m(k) = -o(k) - 4*s(k). Factor m(h).\nAnswer: h*(h - 638)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 3*s**2 - 94. Let i(u) = -u - 136. What is r(i(z))?\nAnswer: 3*z**2 + 816*z + 55394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hojj when four letters picked without replacement from {w: 1, h: 4, j: 6, o: 4, l: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -0.006980794 equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 879933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cb when two letters picked without replacement from {b: 5, c: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (63\/(-12) + 4)*(-150)\/125\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -11362*-9\nAnswer: 102258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 5*d + 8*d + 9 = 0, 3*p + 4*d = -13. Sort -17, p, 2, -3.\nAnswer: -17, -3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.4, 1.4, 55, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -15 in 0, -80.14, -10.88?\nAnswer: -10.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-36)\/(-32)*(-27 + 66 - 58 - 725\/(-15)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Do 198887 and 198887 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 334260612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*x + 1019 = -116*x + 2230 + 5509 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the second derivative of -p**4\/12 + 35*p**3\/6 - 311*p**2\/2 - 43*p + 9. Give n(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -105\/2002768 and -79\/628776?\nAnswer: 54074736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 180 + 63*r**2 - 65*r**2 - 60 - r**3 in the form m*r**2 + l + a*r**3 + p*r and give l.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 48 - 54 = 0. Suppose -w + 5 = 2*v, 3*w - w = 2*v - k. Which is the smallest value? (a) v (b) -0.05 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes before 4:42 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -12 + 6. Let y(n) = 2*n**3 - 3*n**2 + n. Calculate the least common multiple of y(2) and 1\/3 + (-64)\/r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -68053537 and -2083117?\nAnswer: 65970420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*d = 2*t - 21*d + 27, -2*d + 9 = t. Let p(a) = 9*a**3 - 2*a**2 + a + 2. Determine p(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = c - 0*g, 4*g - 20 = -4*c. Let b be 1 + 46 + 0\/10. Suppose c*w - b - 5 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 16, 4, -2\/11, -13, -13\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -189222 divided by -31537?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = 2*l + 3*g - 162, 0 = -4*g - 16. Let x = l - -255. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 1 l when three letters picked without replacement from {k: 9, l: 3}.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, o: 4, b: 1, n: 3, z: 6, p: 4}. What is prob of picking 1 z, 1 m, and 1 n?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 2 t when three letters picked without replacement from {f: 2, t: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.054327 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 57157.\nAnswer: 61, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 9:06 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(-3)\/q**(3\/5))\/((q**(-1)*q)\/q**(1\/3)))**46)**(-25\/6) assuming q is positive.\nAnswer: q**(5635\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 11 - 11 + 64*j + 25*j as h + n*j and give n.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 0.06 = -7494774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 20*f**3 + f**2 + 2*f + 1. Determine g(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -59 - -27. Let r = o + 34. Let z(y) = 0*y + r - y + 0*y. Calculate z(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 676, 672, 666, 658?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uoe when three letters picked without replacement from ouehb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*b - 3*b**3 - 134 + 47 + 48 + b**3 + 39.\nAnswer: -2*b**3 - 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be 34\/(-24) + (-1)\/3. Let k = -33 + 32. Let f be (0\/k)\/(30\/(-15)). Which is the second biggest value? (a) 1\/4 (b) s (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -1117392, -1117402, -1117412, -1117422, -1117432, -1117442?\n\"Answer: -10*r - 1117382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/4*(-30)\/(-12))\/(8\/(-64))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (5\/2)\/(40457\/(-3678) + 1441\/131).\nAnswer: 3, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 10584*y**2 - 9335088*y + 22287*y**3 - 11151*y**3 + 2744515872 - 11140*y**3.\nAnswer: -4*(y - 882)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-605*j - 207*j - 36 + 36 - 489*j)*(-3*j + j + 0*j) to h*j**2 + z*j + p and give h.\nAnswer: 2602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n, 1 y, and 1 x when three letters picked without replacement from {w: 3, x: 1, l: 1, y: 6, n: 2}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -32*a + 12. Let w(k) = 13*k - 5. Let o(g) = -12*w(g) - 5*z(g). Let s = 9 - 7. Let t(j) = 2*j**2 + 0*j**2 - j**s. Calculate o(t(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/1676 and -41\/7542.\nAnswer: 15084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 4*j - 6*l - 118, -3*l = -j + 26. Calculate the remainder when 125 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o = -2*c - 2*c - 5561 + 5650, 2*c + 5*o - 49 = 0 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 + -1 - 1) + 1 + 52 - (-101 - -111).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes before 10:44 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -93*l**2 - 12*l + 3. Suppose 11 = -4*j - 5. Let u be o(j). What is u rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Differentiate -172*c**2*f*z + 16*c**2*f - c + 18*f*z**2 - 79*f - 2 with respect to z.\nAnswer: -172*c**2*f + 36*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 15*h + 29*h + 26*h + 17*h + h**4 - 2*h**2 - 73*h + 9 in the form k*h + w*h**2 + o + u*h**3 + p*h**4 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 7 times -4598.9\nAnswer: -32192.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -11*b**2. Let n(v) = -3*v. Suppose 98*y = 108*y - 10. Let k(z) = 32*z. Let w(h) = y*k(h) + 8*n(h). Give w(x(s)).\nAnswer: -88*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g - w + 24, -3*g + 20 = -3*w - 25. Let i = g + -3. Let a(z) = -z**2 - i + 7 + 0*z**2 + 4*z + 2*z**2. Calculate a(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b - 37 = u, b - 4*u - 614 = -616 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose s**4\/2 - 27*s**3\/4 + 81*s**2\/4 + 91*s\/4 - 147\/4 = 0. Calculate s.\nAnswer: -3\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(102\/(-255)*5\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -318 - 6380*t**2 - 332 + 969 - 319.\nAnswer: -6380*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 58, 37, 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.1 + -0.3. Let g = -37\/18 - -14\/9. What is the nearest to g in h, 5, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -18 - 2?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2 - 30\/4*-2. Let z be 26\/d*1*2. Suppose 5*c = -z + 14, -5*c = 3*q - 7. What is the closest to q in 3, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -z**4\/7 + 26*z**3\/7 + 6071*z**2\/7 + 62304*z\/7 = 0. Calculate z.\nAnswer: -59, -11, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*-1*sqrt(66) + (sqrt(66) - 4*sqrt(66)*2))\/(sqrt(24)\/(sqrt(8)\/(sqrt(4)\/sqrt(2))))*3.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*d**3 - 6*d**3 + 4*d - 407 + 19*d**3.\nAnswer: 9*d**3 + 4*d - 407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 344 a factor of 318714968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 4081472019 to the power of 1\/3, to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(1\/4))**(-8))**(34\/5)*((w**(-1)*w)**(-15\/8))**24 assuming w is positive.\nAnswer: w**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply -17.8 and 0.1248.\nAnswer: -2.22144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the second derivative of -w**6\/30 + 11*w**5\/60 - w**4\/6 - 82*w. Factor i(z).\nAnswer: -z**2*(z - 3)*(3*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-451)\/(-110) + 7\/(-70). Let o(k) = -3*k**3 - 2*k**2 - 23*k - 4. Let r(q) = q**3 + q**2 + q + 1. Calculate c*r(j) + o(j).\nAnswer: j**3 + 2*j**2 - 19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 5583*f + 5484. What is h(-1)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -1030212223 (base 4) to base 2.\nAnswer: -1001100100110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**3 + 11*p**2 + 26*p + 64. What is the remainder when 6423 is divided by a(-6)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3*(6 - (337\/21 - 10))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -607 + 306 + 5 = -74*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -a**3 + 51*a**2 + 109*a - 30. What is n(53)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -310003 (base 4) to base 7.\nAnswer: -12466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -3\/2, -9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 181045 is divided by 328?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -552 = 4*a - 2*a. Let m = 421 + a. Suppose 0 = -2*t, -5*l + 20 = -4*t - m. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 56 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -401, -1580, -3541, -6284?\n\"Answer: -391*t**2 - 6*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-11)\/(6\/(-2) - (13 + -15)). Solve 3*l - 7*l = t - w, 3*t + 3*l = 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -78, 3, -15, 7.\nAnswer: -78, -15, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**2 + 8*g - 22. Determine b(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -5129411, -5129415, -5129421, -5129429?\n\"Answer: -w**2 - w - 5129409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the third derivative of -o**5\/90 + 539*o**4\/18 - 290521*o**3\/9 - 3*o**2 - 196*o + 1. Solve y(a) = 0 for a.\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -l - 8 + 1360*l**2 + 14*l - 14*l + 4.\nAnswer: 1360*l**2 - l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the third derivative of 1\/70*x**7 + 0*x**3 + 0 - 25*x**2 + 7\/40*x**6 + 0*x + x**4 + 7\/10*x**5. Suppose u(j) = 0. Calculate j.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -3.4 * -1554301\nAnswer: 5284623.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 11453580 and 7650?\nAnswer: 57267900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3\/6)\/((-1)\/66). Let w = 49 + z. Suppose 3*n = 5*f + 19, 4*n = 2*f - 0*f + w. Solve 2 = k - n*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 6436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2951247*q**2*v**3*x**2 - q**2*v**2*x + 2*q**2*v*x**2 + 49*q**2*v + 12*q*x**2 - 46*v**2*x wrt v.\nAnswer: 17707482*q**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 134073 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12839374 - 12839374 + 4845*j to the form s*j + w and give s.\nAnswer: 4845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 22 and 18326.\nAnswer: 18326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(-2 + sqrt(432)) + -1 + -3 + sqrt(432)*-4 + 2)**2*-3.\nAnswer: -5772 + 2016*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 14 (base 13) to base 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes after 2:11 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -465 + 463 - 19339*u**3 - 10261*u**3 + u**3 - 2*u**2 + 2*u**2 + (-1 - 2 + 1)*(2*u**3 - 3*u**3 - u**3) to j*u**3 + d*u + f + m*u**2 and give j.\nAnswer: -29595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -14 - -24. Let y(a) = 41*a**2 + 6*a - 6. Let s be y(2). Calculate the greatest common factor of s and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 120 = -4*p. Suppose -3*h = -p - 18. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**3 + 5*y**2 - y + 7. Let n be p(-5). Calculate the greatest common factor of 108 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.4 + 0.4. Let m = -0.5 - f. Let d = -48 + 101\/2. Sort 1, d, m.\nAnswer: m, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58 - 348 = -2*l. Let n = l - 143. Is 24 a factor of 3132\/n - 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*d + 64 = -8. Solve 0 = 6*y - d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.039317 rounded to four decimal places?\nAnswer: 0.0393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 1 f, and 1 b when three letters picked without replacement from {f: 1, s: 2, b: 1, g: 2, j: 2, k: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 150 is divided by 137?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -23401 + 39862. Is k a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3196314820 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 3, -24, 9, 16 in decreasing order.\nAnswer: 16, 9, 3, 2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/((-24)\/(-36) + 580\/(-810)). Let q = -116 - -75. Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - (-9 - 6) - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -356 + 598. Let b = x + -1214\/5. Let r = -1.79 - 0.21. What is the closest to -2\/7 in b, r, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 21 = 95. Let w = a - -36. Calculate the remainder when 18 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1588*w**4 + 7*w**3 - 734*w**2 - 368854265*w.\nAnswer: 19056*w**2 + 42*w - 1468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let 34*j**4 - 35*j**5 + 23*j**3 - 2*j**3 - 49*j**4 + 14*j**5 + 15*j**2 = 0. Calculate j.\nAnswer: -1, -5\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = 4, 9*p - 2*l = 11*p - 1042. Suppose 584*x - 588*x = -p. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z**5 - 280*z**4 + 264*z**3 + 1972*z**2 - 3626*z + 1668 = 0 for z.\nAnswer: -3, 1, 2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1.14805542 rounded to 3 decimal places?\nAnswer: -1.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**3 + n + 1. Let a(y) = -y**3 + 18*y**2 - 14*y + 16. Let c(z) = -a(z) + 3*q(z). Is c(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c\/c**(-7)*c*c)\/(c**(4\/9)\/c*c)*(c**(-3\/13)*c)\/(c*c**(1\/7)*c))**(2\/3))**(-47) assuming c is positive.\nAnswer: c**(-629894\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*c**5 - 6*c**3 + 0*c**5 - c**5 + (3*c**4 - 5*c**4 + c**4)*(0*c + c - 3*c) - 22*c**5 - 4085*c**2 + 4085*c**2.\nAnswer: -19*c**5 - 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (17 + 13*z - 12 - 4)*(2 - z - 2) to f*z**2 + m*z + x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 - 235*x**2 + 4302*x - 30. Determine p(20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n. Let m(b) = -1686*b**2. Determine m(t(r)).\nAnswer: -1686*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 201 + -220102020?\nAnswer: -220101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 128 = -37. Suppose 21 = -4*n + z. Solve i - 1 = -2*b, -n*i - 5*b + 7 = -3*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 14*r. Let k(a) = -174558*a**2. Determine d(k(w)).\nAnswer: -2443812*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2, 1637, 4916, 9839, 16406, 24617?\n\"Answer: 822*k**2 - 831*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 2*z - 287 = 0, 5*b + 0*z - z = 291. What are the prime factors of b?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -26 - -26.00594. What is o rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.6? (a) -2.2 (b) -1\/16 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1016 is divided by 317?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -17.2 + 17. What is the smallest value in b, -0.5, -2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 158566704 is divided by 462.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**3 + 4*g**2 - 5*g + 7. Suppose 0*a + 230 = 5*a. Suppose -3*u = -a + 16. Suppose -3*k - u = 5. Calculate t(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*d**3*s**2 + 6*d**3*s + 2980*d**3 - 58*d**2*s**2 - d**2*s + 158*s**2 wrt d.\nAnswer: -12*s**2 + 36*s + 17880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 3*h - 3*h - 4*h. Suppose -d + 48 = 2*d. Let k(p) = -d - p + 16. Determine k(u(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -61 - -66. What is the second derivative of -13*r**5 + 4*r - 7*r**5 + 14*r**5 - 13*r**n wrt r?\nAnswer: -380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**3 + 8*d**2 + 3. Let j be h(8). Let i be (j\/(-12))\/(4\/16). Let t(z) = 9*z**2. What is t(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -1 + 2 + 15*t + 0. What are the prime factors of s(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 17 and 30974?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-2)\/(-12))\/(1\/24*6). Let o = 6 - 11. What is the second smallest value in o, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 153466536.\nAnswer: 2, 3, 6394439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000022112 rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -3*b**2 + 19*b - 6. Let t be m(6). Let g(l) = 5*l + 10. Let f be g(t). Let r(k) = -f*k**2 + k + 9*k**2 + 4 + 2*k. Give r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 433, 1607, 3547, 6247, 9701, 13903, 18847?\n\"Answer: -y**3 + 389*y**2 + 14*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*g + 4*g + 0*g)*(1291*g - 1143*g + 2481*g).\nAnswer: 2629*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Round -3.5387976 to 2 decimal places.\nAnswer: -3.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**2 + 8*d - 4. Let y = -1045 + 1035. Determine x(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 18152 - 11665. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10 + (-9 + -17 - 11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3727*l + 1232*l - 231*l - 577*l to the form p + c*l and give c.\nAnswer: 4151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together 5.016 and -10910.\nAnswer: -10904.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(1*(-4)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the first derivative of -2400\/13*z**2 + 66\/13*z**3 - 5000\/13*z - 171 - 1\/26*z**4. Find m such that v(m) = 0.\nAnswer: -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 = 4*y - d, -y + d = -d + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w**3 + 24*w**2 - 82*w - 170. Give h(-26).\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -2931167*h**3 + 2931160*h**3 - h - 2*h**2 + 78 - 27 + (-3 + 7 - 2)*(5*h**2 - 5*h**2 - 2*h**3) + h**3 - h**3 + h**3.\nAnswer: -10*h**3 - 2*h**2 - h + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-1836)\/(-216)*44\/34 + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 61871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y**(1\/3)\/y*y*y\/(y**(-2\/3)\/y*y)*y\/(y*y**4)*y*y**8\/y*y assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -u + 10 = 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 2*g**2 + 0 + 4 - 9*g**2. Let s be f(6). Let v = s - 432. What is v rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 47 + -25. What is the lowest common multiple of f and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -36 + 33. Which is the second smallest value? (a) n (b) -1 (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b - 256 = 122. Let y = b - -58. Let k(x) = 67*x**2 + y*x - 68*x**2 - 1 + x. Give k(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - o = 12. Suppose -4*v = 1 + o. Let a(z) = -20*z**3 + z. Is a(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-3 + (-135)\/(-36))*-12*(-212 + 1).\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 - 4*j**2 + 6*j + 5. Let m be n(-5). Suppose m = 4*r - 6*r + 4. Suppose -r*h + 112 = 2*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 324\/(-30) - 1\/15*3. Let z(q) = -q**3 - 8*q**2 + 9*q + 27. Is 43 a factor of z(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -q, -5*q = -0*t + 5*t - 10. Let v be (4 + -4)\/(q + 1). Solve z - 4*z = v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -250 - -1753\/7. Suppose -17 = 3*y - o + 5*o, -4*y + o + 9 = 0. Put y, 4, q in increasing order.\nAnswer: q, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2058225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -10111000010 (base 2) to base 8\nAnswer: -2702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5730 and 4930.\nAnswer: 2824890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p**(1\/2)*p)\/p)**(8\/7)*p\/(p**2\/p)*p*p\/((p*p**(-5\/6))\/p))**(-49) assuming p is positive.\nAnswer: p**(-1337\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -8 + 91?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/1 - (-7)\/((-63)\/5). Suppose 0 = 3*o - 0 + 6. Which is smaller: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-758898)\/(-4438)*(-1)\/3?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 91*h + 30. What is r(-1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is j in 4*j**4\/5 + 52*j**3\/5 + 88*j**2\/5 = 0?\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -57, -16, -2 in increasing order.\nAnswer: -57, -16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (5 + (0 + sqrt(1008) - sqrt(1008)) + 3 - ((-5 + 0 + sqrt(1008))*-2)**2) + 2.\nAnswer: -4117 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7584*v**5 - 2*v**4 - v**3 - v**2 - 12092*v wrt v.\nAnswer: 455040*v**2 - 48*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 3714048 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3987*w - 258 = 4006*w + 179 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 2*q + 5. Let s be v(0). Suppose 15 = 3*z, s*o - 5*z - 1770 = -10*z. Let n = -195 + o. What is the highest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -742 - -1381. Let p(y) = y**2 - 6*y - 6. Let j be p(6). Find the common denominator of 8\/9 and ((-4)\/j)\/((-60)\/i).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(300) + sqrt(300) + sqrt(300) + -1*sqrt(300))\/sqrt(10))\/(-1*sqrt(50)\/sqrt(5)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -12 + -472c90?\nAnswer: -472ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 3*f + 150 + 410 = 0, v + 112 = -2*f. Let b = v - -117. Solve 5*j - 15 = b*d, 18 = 3*d + 4*j - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/s**12*s)\/s)\/(s*(s**(-9)*s)\/s)*(s*s**(-8))\/s*s**(-3)\/s assuming s is positive.\nAnswer: s**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 + 0. Let r be (-31)\/93 - (3\/(-6)*4 + 2). What is the third smallest value in r, 4, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -2434, -9746, -21940, -39022, -60998, -87874?\n\"Answer: -a**3 - 2435*a**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 6*r = -14. Suppose 2*z + r*z = -32. Let x(b) = -b**2 - 11. Let j(y) = 4. Give z*j(m) - 3*x(m).\nAnswer: 3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 352 a factor of 410080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 5*h**2 + 5*h. Let n(s) = -3*s**2 - 2*s. Calculate -5*n(x) - 2*y(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 578139 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:12 PM and 7:07 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.1404 + 0.0394. Let s = c - -0.111. Round s to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 5*k - k. Let h be k\/9 + (-2)\/(-3). Solve h = -5*o - n - 15, -3*o + 0*o + 2*n - 9 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - (19 - 28)) + (-4 - -1 - 17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -221 + 242. Let u(i) = i**2 - 11*i + 62. What is the units digit of u(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 4\/268233441 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the third derivative of -l**5\/20 - 19*l**4\/12 + 13*l**3\/6 - 12*l**2 + 58*l. What is v(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 19*m + 142 + 2328. Let l = 130 + m. Solve 3*z - 2*z - x - 5 = 0, 3*z - x - 11 = l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*v - 14*v = 248 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 4692 divide 4924271390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 5*j = 1621, 0 = -4*r + 3*j + 629 + 1514. Let m = r + -370. Calculate the remainder when m is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.233 and -0.1474.\nAnswer: 0.0343442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0 - 1. Suppose 5*j - 10 = -21 - 9. Sort j, p, -111\/4.\nAnswer: -111\/4, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (1\/2)\/(25*6\/60)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = g + 1. Let t(p) = -2*p**3 - 3*p**2 - 2*p + 2. Is t(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -208, -454, -676, -868, -1024, -1138?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 48 and 178468.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(800) + ((sqrt(400)*-2)\/sqrt(8) - sqrt(50)))*3)\/(6*(sqrt(810) - (sqrt(810) + sqrt(810) + -2*sqrt(810)))*-1).\nAnswer: 7*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**6*u*(u\/(u*u\/(u**(1\/3)\/u*u)*u)*u)\/u*(u\/(u\/u**(-5)))\/(u\/((((u*u\/u**1)\/u)\/u)\/u)*u) assuming u is positive.\nAnswer: u**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26.9*0.27.\nAnswer: 7.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 20435070 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-485*a**4 - 684*a**4 + 1022*a**4)*(16 + 49 - 5)*(-3 + 3 + 2).\nAnswer: -17640*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25*-100827.\nAnswer: 2520675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -13.3 + 13.1. Let q = 544.6 + -545. Which is the biggest value? (a) 4 (b) q (c) 5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -55 + 83. What is the remainder when 81 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + q = 6119, 5*s - 19646 = 3*q + 10925. Suppose 8*t + s = 3*t - 4*u, 5*t + 5*u = -6120. What is t rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the third derivative of -93*s**2 + 0*s**3 + 0 - 1\/2*s**4 - 1\/21*s**7 + 0*s + 1\/12*s**6 + 1\/6*s**5 + 1\/168*s**8. Solve z(t) = 0.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - -26)\/((-1104)\/(-368)) + (30 - 130).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (28\/(-21)*(3588\/(-64))\/13)\/((-1)\/4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-eight thirds of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -8\/327?\nAnswer: -8\/327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 5, u: 4, m: 5}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes before 4:15 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**2 + 7*z + 8. Let p be l(-5). Suppose -16 = -2*f - 2*f. Which is the closest to -0.1? (a) f (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -9*f**2 - 774*f - 90542?\nAnswer: -18*f - 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.061 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = -3*w + 3355. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*b**2 + 21913368*b - 43826724 = 0. What is b?\nAnswer: 2, 7304454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 184668 and 46519.\nAnswer: 780960972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 5, b: 4, z: 4, m: 1, w: 5}. What is prob of sequence wbi?\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4 - 5 - 2)*(0 + 2 - 3) - 1 - 1 + 0)*(23*i - 10 + 10)*(2 - 2 - i**3).\nAnswer: -23*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -797 and -0.771?\nAnswer: 614.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be (4\/(-132))\/((-3)\/33). Let m = 3 - 10. Let h = m + 12. What is the closest to -2 in -3, l, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 210, 1244, 2276, 3306?\nAnswer: 4334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccscsccscc?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 97.695 at most 174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 474 is divided by 393.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*t + 32*t - 1113 + 521 + 4096 = 0 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -46930492*y + 205515. Let x(b) = 4567*b - 20. What is 4*s(t) + 41103*x(t)?\nAnswer: -4567*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (84\/196*266\/12)\/(1\/(-2))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence td when two letters picked without replacement from dzdt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3572 + -190. Let m = -6453 - q. Calculate the common denominator of -89\/4 and 2\/(-10) + m\/720.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(-13))**36 assuming c is positive.\nAnswer: c**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that 5*r**3 - 3445*r**2 - 6905*r - 3455 = 0.\nAnswer: -1, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the first derivative of 55*v**4\/4 + 3*v + 56. What is the first derivative of o(a) wrt a?\nAnswer: 165*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46*m + 373 - 5 = 0. Put -1, 0, -33, m in ascending order.\nAnswer: -33, -1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9821 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -2223885 rounded to the nearest one thousand?\nAnswer: -2224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1641, -927, 263, 1929?\nAnswer: 4071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 174790?\nAnswer: 2, 5, 7, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -112, -297, -554, -883, -1284, -1757, -2302?\nAnswer: -2919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-15)\/(-6) - 2)*(6 + 2). Let d = 10 + -7. What is the smallest value in d, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-5))\/(13 + (-335)\/25)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -72\/245 and -71\/350?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 5*v + 3*v - 2*v. Let x(d) = 6*d + 3. Let l(m) = -7*m - 3. Let s(j) = 5*l(j) + 6*x(j). Let p(f) = -1. Let r(h) = -6*p(h) - 2*s(h). Calculate r(c(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1132 - -1?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 7 = 5*d, 0 = 2*d + 3*j + 2*j - 12. Which is smaller: 3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -26 - -20. Let h(g) = g**3 + 8*g**2 + 10*g + 10. List the prime factors of h(u).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 154*n - 95785 = 149*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -151 + 46. Is 10 a factor of (1 - o\/14)*8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 514317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 11 (base 3) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 6*p - 5. Let b(m) = -7*m + 4 + 1 + 1. Let t = -8 - -10. Let c(q) = t*b(q) + 3*v(q). Differentiate c(f) with respect to f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1188 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-135)\/(-10) + -2)*-2. Let v = g - -28. Solve -10*w - v = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6070, 0.2, -0.4, 2, 1, -0.2 in decreasing order.\nAnswer: 6070, 2, 1, 0.2, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -2*h - 5. Let k be o(-5). Solve 0 = 2*y - k*b + 29, y - 2*b - 2*b = -22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**3\/5 + 24*a**2\/5 + 72*a\/5.\nAnswer: 2*a*(a + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4401404 - 4401404.2590249. Let y = 0.259 + o. What is y rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 28 - 23. Let z(o) = 0*o + 2 + o - f - 2*o. Let d be z(-2). Let v(r) = 4*r**2. Give v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2415\/4 - -604. Which is the nearest to f? (a) 4 (b) 41 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**(-2\/3))**(-1\/24)*(m\/(m**7\/m)*m)\/((((m*m\/(m*m**3*m))\/m)\/m)\/m))**(-27) assuming m is positive.\nAnswer: m**(-429\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1379855 and 336550?\nAnswer: 13798550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 222*g**3 + g. Let u be q(1). Suppose f - 2*f = -u. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (8*g**2 - 2 - 13*g**2 - 19*g**2)*(-4 - 1 + 1)*(-14 - 2 + 22) as w*g + k*g**2 + s and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-10))**(-34) assuming f is positive.\nAnswer: f**340","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j + 233 + 625 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -2*q + 1. Suppose -4*w + 2*w = 4*t + 14, 0 = t - 4*w + 8. What is y(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 494 and 56852.\nAnswer: 14042444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -12, -4\/3, -0.2, 0.433, -6.2, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 1935491949591.\nAnswer: 1935491949590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 166142 and 332284.\nAnswer: 332284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 22040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 115 + 97 = 0. Let t = m - 165. Calculate the remainder when 466 is divided by t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**3 + 101*f**2 - 18*f - 368. Is h(98) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t = 4*t + 114. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u - 10. Let o be k(-14). Solve 10 = -o*x - x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4796122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3058746967 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is b in b**5\/6 - 22*b**4 - 4109*b**3\/6 + 22*b**2 + 2054*b\/3 = 0?\nAnswer: -26, -1, 0, 1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 6.471359 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28965213.\nAnswer: 3, 3218357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -61 + 80. Let q = d + -16. Put q, -1, 22, -3 in ascending order.\nAnswer: -3, -1, q, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.21 - 0.2. Let o = 17709.8 + -17709.9. What is the closest to o in 0.1, -3, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ymmym. What is prob of picking 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 27590 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000170296 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -f = -0*f - z + 4, -13*f - 10 = z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 6801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let -2*v**5 - 9194*v**4 - 14727972*v**3 - 10026341892*v**2 - 2486596383450*v - 2476584760338 = 0. What is v?\nAnswer: -2067, -843, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the second derivative of -l**3\/3 - l**2\/2 - 3*l. Give c(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2423465 and 556.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -7*v**2. Let d(i) = -68*i**2 - 3. What is d(r(q))?\nAnswer: -3332*q**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((-93)\/(19065\/82))\/((-6)\/10)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 193*x**3 - 189*x**2 - 4*x.\nAnswer: x*(x - 1)*(193*x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 5*v**2 + 15*v - 18. Suppose 2*h - 1 = 3*x, 0 = -0*h + h + 4. Let b be (4\/6*x)\/1. Let m(k) = 1. Let o(u) = b*m(u) + s(u). Factor o(y).\nAnswer: 5*(y - 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10104 is divided by 1682?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be -15*(15\/9 - 1). Suppose 52 = m + 11. Let v = f + m. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = x - 0*b - 2*b, -2*x + 66 = -3*b. Suppose 4*d = 2*j + 22, -5*d + x + 19 = 3*j. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 12156096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from fbjyp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7791 + 7791. Solve n + 4*g = 4*n + 1, n - 5*g - 7 = t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the first derivative of 18*t**5\/5 + 83*t**3\/3 - 149*t**2\/2 - 5*t + 1269. Find the second derivative of a(w) wrt w.\nAnswer: 216*w**2 + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l + 3. Let q be n(-5). Let k = 15.539 - 42.539. What is the nearest to 0 in q, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 270 - 272. What is the biggest value in -7, -13, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.18 - 0.08. Let p = -0.1 + 0. Let z = u + p. Which is the third biggest value? (a) -3 (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**3\/4 + 1413793*m**2\/4 - 499656710271*m\/4 - 32483659717665\/4.\nAnswer: -(m - 706929)**2*(m + 65)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 145 (base 6) in base 14?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.7 and 15494252967.\nAnswer: 15494252966.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the third derivative of j**5\/15 - 7*j**4\/12 + 14*j**2. What is the second derivative of d(c) wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n + 2*n + 10*n = 121315. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -3*x + 21, 3*x - 2*g = 2*g + 3. Suppose 0*c + c = 2*s + 78, x*c = 2*s + 390. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.78 (c) -580 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 + 4. Let d(u) = -2*u. Let m be d(-1). Suppose 0 = 5*b + m*t - 43, 5*t = 2*b + 2*b - 8. What is the smallest common multiple of s and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -761.5551 + 758.13. Round y to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -19 - -23. Let h = -3.8 + z. Suppose 4*t - 64 = -4*j, -3*t = 4*j - 2*t - 49. Which is the third smallest value? (a) h (b) j (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -1 + sqrt(13) + (sqrt(26)\/sqrt(2) - sqrt(13) - sqrt(13)) + 3)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide 558688 by -16432.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 32\/5 of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -1104*k - 75 = -1079*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*f**3 + 4*f - 2*f + 2*f**2 - 4*f**2 + (-1 - 2 + 5)*(4*f**3 - 4*f**3 - 2*f**3) to the form d + g*f**3 + n*f**2 + k*f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -77 + 229 - 83 - 89 + 8*l to r + f*l and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13.5 + 12. Round y to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1002 - -1001.999561. What is n rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*z**2\/7 - 25860*z - 3257388\/7.\nAnswer: -3*(z + 18)*(z + 60322)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 77*q - 196. Let g be d(4). What is the greatest common divisor of g and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is c5dc - 2?\nAnswer: c5da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 + -1. Let o = i + 41. What is the highest common factor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 10 = -7. Let d(k) = -o*k + 8*k + 1 + 8*k - 4*k. Let m(z) = 8*z. What is 2*d(q) - 3*m(q)?\nAnswer: -6*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 286 - 282. Suppose 3*s + 5*g + 4 = 0, -2*s - 4 = -5*s - g. Suppose -4*u - 5*x - 1 = -8, -17 = -5*u + 2*x. Solve m*f + 6 = -s*i, -u = i - 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -28*z - 13. Let w(h) = -29*h - 12. Let k(u) = -5*c(u) + 6*w(u). Let f be k(-3). Calculate the highest common divisor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 1\/3, -13, -3, 0, -0.1, 15586, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 180 = 60. Let w be v\/7 - 2\/7. Suppose 5*m - 3*o + 12 = 332, -3*o = w*m - 256. What is the remainder when m is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (21 - 14) + (0 - 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1587745 - 0?\nAnswer: 1587745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/20*1 + 1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*h + 326 + 72 = 217 - 465 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 112721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (88 - 24 - 31 + 193)*(-y**4 - y**4 - y**4).\nAnswer: -678*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1\/12)\/(4\/12). What is the nearest to 1 in -4, 0.7, n?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/6 + 1\/3. Let l be (11\/((-88)\/(-72)) + -8)\/(4\/(-12)). Put l, -75, d in descending order.\nAnswer: d, l, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - 16 - (-11 + (2 - -6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 105\/8 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**2 + 8*f + 9. Let g be s(-7). Suppose g*j = -0*j. Suppose -4*x + j*x = -24. Solve -y = 4*k - 16, -y + x*y = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 267*p**4 - 3*p**3 - 2*p**2 - 571. Let b(x) = -268*x**4 + 5*x**3 + 3*x**2 + 573. Let q(t) = 2*b(t) + 3*v(t). What is the derivative of q(g) wrt g?\nAnswer: 1060*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*s - 5672 + 5631 - s as l*s + q and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3579 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 549 minutes before 12:45 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 7680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -18\/11 in 4, -1\/7, 3\/7, -17?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-414)\/897*(-26)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -77\/16 and 139\/5952.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express ((-5 + 3 + 3)*(4*m - 4*m - 2*m) + 3*m - m + 7*m)*(-5*m - 2 + 2) as f*m + k*m**2 + v and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-150693)\/7560 - (-21 + 1) and -131\/84.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 36 - -43. Suppose -2*t = 4*c - 124, 4*t - 193 = 4*c + p. Let a = t + -16. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.27 - -1.57. Let x = -3.45 + 3.05. Which is the second smallest value? (a) w (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - (-4 - (-3 - 4))) + (-7 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the first derivative of 14*l**3\/3 + 9*l**2\/2 - 34. What is the second derivative of p(m) wrt m?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 2 + 10 = 0. Suppose 0 = -t*k - 4*k - 4*k. What is the third smallest value in -3, k, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(-16)*(-4)\/(-6)*-1\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + -2444?\nAnswer: -2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2041 + 0 - (8 - (-20)\/(-4))?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s + 11. Let t = 25 - -147. Let n = -172 + t. Determine m(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the second derivative of 23\/80*x**5 - 7\/24*x**3 - 7\/48*x**4 - 6*x + 0 - 1\/8*x**2 + 1\/15*x**6 - 2\/21*x**7. Let m(v) = 0. Calculate v.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the first derivative of -174 - 3*g**2 + 86 - 9*g**2 + 63 - 73*g. Differentiate q(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.07 + 51646.\nAnswer: 51645.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-3)*x**(-16)\/x)\/(x**(2\/9)\/x*(x\/x**(-11\/4))\/x))**(1\/9) assuming x is positive.\nAnswer: x**(-791\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 7*s**2 - 5. Let j(h) = -3*h - 2 + h**2 + 2*h**2 + 3*h. Suppose -107 = -36*v + 73. Give v*j(f) - 2*b(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1\/8 - 11\/24. Which is the third smallest value? (a) t (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*w**3\/7 + 68*w**2\/7 + 300*w\/7 + 396\/7.\nAnswer: 4*(w + 3)**2*(w + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 1.349 to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3.23 and 2.7?\nAnswer: -8.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*10*8\/880 - (-328)\/(-22).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2552054 (base 11) to base 4.\nAnswer: 100320021233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 19.7 + -7.6. Let q = 2.3 - b. Let x = 10 + q. Are -1\/6 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 16.3241636 to zero dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iccq when four letters picked without replacement from {g: 3, q: 2, c: 3, i: 10, m: 1}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 3*b**2 + 5*b + 3. Is v(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {l: 13, q: 3, b: 1}.\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -3*p - 3. Let d be j(-3). Let b be -3 - 4\/d*87. What is b rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 36\/29, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5382 and 1989?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 597, 1197, 1799, 2403, 3009?\n\"Answer: d**2 + 597*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -64 (base 8) to base 10.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**3 - 3*u**2 - u. Let q be s(-3). Let b be (3 + -22)*(-2)\/(-14) + 3. Factor 10\/7*h**2 + b + 8\/7*h + 4\/7*h**q.\nAnswer: 2*(h + 1)**2*(2*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -2*o**3 + 14*o**2 + 17*o - 9. What is the remainder when g(6) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 9.187 + -0.187. Let b = 1255.11 - 1246. Let m = p - b. Round m to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 65020.05 meters?\nAnswer: 65020050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is b4b374 (base 13) in base 9?\nAnswer: 7846164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:28 AM and 3:17 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1425\/105 - (1 + (-6)\/14). Let k be g\/(-52) + (-217)\/(-4). Let i = k - 55. Which is the nearest to 3\/2? (a) i (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48 is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4080 = -394834*n + 394885*n for n.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the first derivative of 12*t**3 - 5 + t**3 - 9*t**3. Let i(w) = -4*w. Let a(k) = 9*k. Let j(y) = -3*a(y) - 7*i(y). Calculate j(r(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (22\/7)\/(((-4)\/18)\/((-2233)\/(-5742)))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7 - 6. Let i = -1179\/11 + 107. What is the closest to t in 0.1, -3, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74*u - 38*u - 595 = -83*u. Sort -1, u, -0.044, -0.1, -0.33 in decreasing order.\nAnswer: u, -0.044, -0.1, -0.33, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1088 and 697986.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-7))\/(32\/56).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 408145*s - 1224427. Determine n(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**4 - 5388*l**3 - 724920*l**2 - 25029200*l.\nAnswer: -2*l*(l + 70)**2*(l + 2554)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/4 or -0.083?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-30)\/16*(-8)\/6. Suppose 6*w + 15 = 3*w. Let p be (-6)\/(-4) - w\/(-4). Sort f, 3, p in increasing order.\nAnswer: p, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000163853015 rounded to seven dps?\nAnswer: -0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 81763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.064, 3\/5, -0.68?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 2*f + 3. Let l be (8\/(-10))\/((-10)\/75). Let z(g) = g - 2. Let y be z(l). What are the prime factors of r(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/4)\/(2\/(-12)). Suppose -i*l + 3 = -0*l. What is the tens digit of 40 + (l + 1)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the third derivative of -c**6\/60 + 11*c**5\/60 + c**4\/4 + 5*c**3\/6 + c**2 - 129. What is s(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -148223.\nAnswer: -2\/148223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -7*m + 27. Let k(g) = -7*g + 30. Let a(n) = 6*k(n) - 7*z(n). Let x be a(-7). Is x less than or equal to -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2057 <= 39110\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 2*c = 7*c - 28696, -3*c = -5*y + 35833. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 56 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 328, 1325, 2994, 5335, 8348, 12033, 16390?\n\"Answer: 336*v**2 - 11*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 54\/(-126)*((-7000)\/75)\/(-20)*82\/4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 272, 5, 3, -30 in ascending order.\nAnswer: -30, 3, 5, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yvq when three letters picked without replacement from {v: 10, y: 4, q: 3, h: 1}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -8\/7 + 0*z + 10\/7*z**2 - 2\/7*z**4 + 0*z**3 = 0 for z.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*d**2 - 4*d**2 + 0*d**2)*(0 + 4 - 5) + d**2 - 3*d**2 + 3*d**2 + (-d + 1 - 1)*(-d + 0*d + 0*d) + 0*d**2 - d**2 + 0*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1, 6, 13, 20, 27, 34?\n\"Answer: 7*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 31 * 0.07.\nAnswer: 2.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-189)\/36 + (96 - 86)\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**2 + 25*r + 41. What is n(-23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -57\/280 and -61\/9352.\nAnswer: 46760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 181 minutes after 10:32 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 67 = p - 150, 2*p = -5*b + 425. What is the greatest common factor of 1660 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 2*y. Let k(j) = -2947*j - 1263. Let t(r) = 1. Let d(l) = -k(l) - 1263*t(l). Give v(d(i)).\nAnswer: 5894*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 35840 and 4218880?\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-6)\/135*3 + (-1622)\/(-15) is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 4*c - 6*c - 224 = 0, -3*c = 4*v - 234. Suppose -23 = -2*k + v. What is the remainder when k is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (6*(1 + sqrt(112))*5)**2.\nAnswer: 7200*sqrt(7) + 101705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 15204003 to the nearest integer?\nAnswer: 3899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 1, 14, -4.2, -691?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 43.88 - 46. Let y = 2.11225 + c. What is y rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 35202332 (base 6) to base 5.\nAnswer: 234323300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4 + 5 + 3)*(-3 + 3 - 2) + 4 - 2 - 16)*(o**4 + 0*o**4 + o**4).\nAnswer: -44*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 126870194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 112 and 5404?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((r\/(r\/(r\/r**(-1\/20))))\/r)\/r)\/((((r*r**20\/r*r)\/r)\/r)\/r*r))**46 assuming r is positive.\nAnswer: r**(-9177\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 5, 317, 2.31, -1 in decreasing order.\nAnswer: 317, 5, 2.31, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -149*d - 833 = 15*d + 1627 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 594417.\nAnswer: 3, 198139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*o - 4\/9*o**3 - 8\/3*o**2 + 4\/9*o**4 + 0.\nAnswer: 4*o**2*(o - 3)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9102*y + f = -9107*y - 110, 13*f = 5*y + 180 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*c + 1 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0176972235 rounded to 6 decimal places?\nAnswer: 0.017697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {y: 2, m: 1, x: 1, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 2*a**2. Let q(g) = -g. Let f(d) = -36*d. Let z(j) = -f(j) + 3*q(j). Calculate z(w(p)).\nAnswer: 66*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8264 - 74288\/9. Let v = -2851\/306 - 22\/17. Let y = v + o. Does -2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -40 divided by 9745.\nAnswer: -8\/1949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -140*q - 11 + 21 - 10 - 2949*q to m*q + j and give m.\nAnswer: -3089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 21 + 0 + (279 - 280)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 4*v - 980 = -u, 16*u = 5*v + 7766. What is the greatest common divisor of 63 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {y: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 23050 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (26 - 26 + 6*p)*(-2*p + 0 + 0)*(-1 - 3 + 2)*(2*p + 3*p - 2*p).\nAnswer: 72*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/5*-5*2\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1161745 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1197 and 114.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 32056\/13 - 2466. What is the fourth biggest value in -4, 2.3, -2, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u**3 + 2*u**2 - 1. Let a be n(-1). Let q be ((-2)\/4)\/((-1)\/a). Suppose -o + q = -0. Solve -3*m + 2*m = -o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {t: 4, o: 2, a: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -723 or 2\/3?\nAnswer: -723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -22719.919 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of d**5\/210 - d**4\/42 - 4*d**3\/63 - 341*d. Factor g(v).\nAnswer: 2*v*(v - 4)*(v + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*c + 8*c = 0. Let l = -193 + 198. Solve -6 = -4*q - l*m, q - 2*m + 5 = -c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes before 2:38 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z = 5*g, -3*g + 0*z - 11 = -4*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the third derivative of -x**8\/336 - x**7\/30 - 11*x**6\/120 - x**5\/12 - 305*x**2. Factor t(b).\nAnswer: -b**2*(b + 1)**2*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 45276670 and 2410?\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -1\/2, 1099, 3\/31, -1\/3, 5\/3, -14?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 35518 and 43202530?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 16, g: 2}. What is prob of sequence gg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 35\/4*48\/60.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 2e34b9 (base 15) to base 10.\nAnswer: 2238699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iyddfiydfyyfddyyy. What is prob of sequence yfyd?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**3 + 22*b**2 + 19*b - 42. Let d be m(-21). Let i be (2*2)\/((-7)\/1). Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -420a (base 12) in base 10?\nAnswer: -7210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 2*n**3 - 16*n**2 - 7*n - 15. Suppose 0 = -3906*s + 3901*s - 2*q + 63, s - 36 = -3*q. Give g(s).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 397610 = 2*l, -5*l + 994008 = -0*g - 4*g. What is l rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1985, -6443, -13873, -24275, -37649?\nAnswer: -53995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -16*f**2 - 25 + 2*f**3 + 53*f - 79*f + 25*f. What is the tens digit of x(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 77*g - 21*g - 40*g + (8 - 8 - 4*g)*(1 - 3 + 0) + 0*g + g + 10*g.\nAnswer: 35*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((23980\/(-2695))\/(-109))\/((-2)\/(-14)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1094 - 19.4302341.\nAnswer: -1113.4302341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1069001108 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 166*b + 242912 - 248224 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:25 PM and 2:28 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -216 + 200. Let d = c + 145. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 4*t**3 + 6*t**2 + 3*t - 4. Let p(b) = -11*b**3 - 18*b**2 - 9*b + 11. Let a(g) = 3*p(g) + 8*v(g). Determine a(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4257155435 to the nearest integer?\nAnswer: 65247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 45*q + 1693. Is 28 a factor of i(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k. Let x(u) = -48*u - 1. Let q(t) = 141*t + 4. Let m(i) = -2*q(i) - 7*x(i). Calculate m(j(b)).\nAnswer: 54*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**2 - 2. Let j(u) = -u**2 - 437*u - 43454. Let m be j(-284). Suppose 6 + 4 = 3*c - b, 0 = -4*c + 2*b + 14. Let f(r) = -1. Give c*f(v) + m*z(v).\nAnswer: 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*n - 1658 = 5*b - 363, -2*n + 2*b + 258 = 0. Solve -n + 100 = -5*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (32\/12 - 2)*-51. Let i = -33 - g. Is i greater than or equal to 1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 704835932.\nAnswer: 2, 19, 9274157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -36 (base 8) to base 4\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 36\/11 - 39\/22. Let p = -3 + 5. Suppose 7 = -p*g + 1. Which is the smallest value? (a) 5 (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (28 - 4) + -2 + -3 + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 5, h: 3, x: 3, f: 1, l: 8}. What is prob of picking 1 x and 2 l?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2118*c**3 + 13*c**2 + 16*c**2 - 29*c**2 + 706*c**3 + 716*c**3 + 707*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x - x**3 + 0*x)*(11 + 21 + 2)*(-2*x**2 + 2*x**2 + x**2).\nAnswer: -34*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -4, -330, -1\/4, 26 in decreasing order.\nAnswer: 26, -1\/4, -2, -4, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 5835\/(-12)*-23 - (-35)\/28 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*d + 2*d - 20 = 0, -5*z - 48 = -3*d. Let o = 16 + z. Suppose 2*x - 33 = -5*t, o*x + 3*t - 18 = 13. Solve -2*r + 2*g = -0*r, 0 = 2*r - x*g - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-27)\/162)\/(1\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1c626 (base 16) to base 4\nAnswer: -130120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 14 + -8. Suppose -2 - 8 = -2*k. Suppose -k*j + 5*f = 3 - 18, -3*f = 0. Solve 5*g = i + 10, 0*g = -j*g + 3*i - o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*u + 213 = 3*u - w + 194, 3*u + w + 15 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1077*i**2 + 874*i**2 - 2659*i**2.\nAnswer: -708*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = z + 8, z + 5*s - 2 = -18. Suppose t - 5 - 9 = -b, -3*t = 2*b - 40. What are the prime factors of z\/t + (-124)\/(-6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 81 - 75. Suppose -2*g = -2*s - o, -5*s + 3*g - 10 = -3. Suppose -5*n - 2*j + 22 = j, -5*j = 5*n - 30. Sort n, 0, s.\nAnswer: 0, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t**2 - t + 11. Let n = 149 + -149. Calculate d(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/8*-2 - 0. Find l, given that w*l**2 + l + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 5, n: 4, y: 1, e: 2, x: 4}. Give prob of sequence ekke.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = -84 + 1171. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 - 1. Suppose -5*f - 17 = i*y - f, 4*y = 4*f + 24. Is 2 a factor of (2 - y)\/(2\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes after 8:47 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x be 23 + (-18 - -7 - -6). Suppose -7*w + x*w = 22. Solve -a + 13 = 3*r, -2 = -a + w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r**3 + 6*r**3 + 3584*r**2 - 1 - 3590*r**2 + 6*r. List the prime factors of h(4).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.07, 1\/2, -4.79, 3 in increasing order.\nAnswer: -4.79, -0.07, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -9 divided by -57642\nAnswer: 3\/19214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -f**4*s + 1655*f**2*s - 725*f - s wrt f?\nAnswer: -12*f**2*s + 3310*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/(-4) - 0\/3. Let f = -230951.968 - -230952. Is f < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49013.\nAnswer: 23, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than or equal to -9\/98623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*c + 40 - 60 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -827*d + 4. Let g be r(-10). Suppose 711 = 15*c - g. List the prime factors of c.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -71177364 greater than -284709455\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d + 4. Let u be x(0). Is (37\/u)\/(10\/(-8))*-5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2498 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: What is the ninth root of 9363 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -2022288 divided by -16?\nAnswer: 126393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -2a (base 15) to base 3\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7720333 decades to centuries.\nAnswer: 0.07720333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 22625170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -14*j**4*k - j**3*k*n - 2*j**3*k - j*k*n - 5*j*k + 4*k*n wrt j.\nAnswer: -168*j**2*k - 6*j*k*n - 12*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 9303456*g**2 - 1021653?\nAnswer: 18606912*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*f - 4*f - 2*a - 198, 5*a = -f + 55. Let g(m) = m**3 - 2*m**2 + 3. What is the smallest common multiple of g(3) and f?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -8*g + 41. Let d(n) = -10*n + 40. Give 5*d(u) - 6*x(u).\nAnswer: -2*u - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 12 + -11.3. Let z = -1.7 + d. Which is the closest to -0.1? (a) 2\/5 (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.3 (b) 1 (c) 3 (d) -4463\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 48\/240 + 206\/(-180) and 51\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 * -77375.\nAnswer: -15475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/(-32))\/(4\/8*6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.036 - -1.036. Suppose 5*t + 0*x + x + 1 = 0, 5*t + 25 = 5*x. Which is the second biggest value? (a) t (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 - (-2 + 6) - (-59 - -57)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 28270486.57 to the nearest one hundred thousand.\nAnswer: 28300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 2*l + 6. Let v be o(-6). Calculate the least common multiple of (-15)\/(-21) - v\/21 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.04114 + 0.05886. Suppose -14 = -4*h + 10. What is the smallest value in l, 3, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-80)\/140)\/(-1 + 6\/(-14)). What is the second smallest value in u, 0.2, -11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*b**2 + 100679*b**3 - 201256*b**3 + 100580*b**3.\nAnswer: 3*b**3 - 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4160906 - 195844.183.\nAnswer: -4356750.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -160 + 860. Let g = 702 - v. Factor 14\/5*m**3 - 32\/5*m + 2*m**g + 8\/5.\nAnswer: 2*(m - 1)*(m + 2)*(7*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3 - (0 - (0 + 2)). Let i = -603 + 537.2. Let s = 65.8 + i. Put s, -1, 2, t in decreasing order.\nAnswer: t, 2, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35*d**2 + 50*d**3 + 7*d**2 - 40*d**2 + 105*d**2 - 37*d**2.\nAnswer: 50*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 12263*f - 12258*f - 5.\nAnswer: 5*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -838*a - 5871. Determine q(-8).\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/4 - 442827\/18. What is s rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-351)\/351)\/((-2)\/3 + 22\/(-3)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-4 + (-1 + sqrt(5))*-6).\nAnswer: -6*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 5*(-7)\/(-140) - 16435\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1258010357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l + 5. Let z(k) = 4*k - 16. Let w(b) = 16*r(b) + 5*z(b). Let i(v) = 0*v + 3*v - 15 + 15. Calculate i(w(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -113\/1758 and 62\/4395.\nAnswer: 8790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -4\/5 (c) -42 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -149075*p*x + 47642*p wrt x?\nAnswer: -149075*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the first derivative of -f**4\/30 - 2*f**3\/15 + 8*f\/15 + 9. Factor m(n).\nAnswer: -2*(n - 1)*(n + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 12*r**2 - 4524 + 4648 + 27*r**2 - 9*r. What is the hundreds digit of h(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76) + (sqrt(76) - (sqrt(76) + sqrt(76)*-2)*4))\/sqrt(4) - (1 + (-3 + sqrt(19))*2))**2.\nAnswer: 40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -12*z + 8*z, 5 = 5*w - z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*c = c + 5481. Let b = c + -332. Suppose h = 5*g - b, -g - 4*h = -0*g - 68. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 507 - 2537\/5. Sort 0.2, 0.5, 1\/9, v in decreasing order.\nAnswer: 0.5, 0.2, 1\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 5\/4 of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 29*b**2 - 3*b + 1541. Is s(-41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 10 = -3*c - 2*f, 2*c + 4*f = 6. Let d be 180\/40*2\/3. Differentiate 6*n**3 - d - c*n**3 + 4 with respect to n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-150)\/(-2730) - 4*(-2)\/(-28)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -13\/5 + 138\/55. What is the fourth smallest value in -0.4, s, 2\/9, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 24521 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the first derivative of -o**3\/3 + o**2\/2 + 2. Let y(q) = -4*q**2 + 4*q - 3. Let x(c) = 5*n(c) - y(c). Determine x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -4*k - 1, 3*k = -2*j - 13. Let c(x) = x**2 - 5*x - 5 + 5*x - x. Is c(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 112 and 616?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 3663 (base 9) in base 6?\nAnswer: 20350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-1)\/6 - 4822\/12)\/(-2). Suppose 87 + c = 4*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21001 + -2100110200220?\nAnswer: -2100110221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2494 or -2493?\nAnswer: -2493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**3 + 5*h**2 + h - 4. Let z be k(5). Let j be (-5)\/(-1) - (z - -2). Solve -j*g - 4 = 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*-2*sqrt(28) - (sqrt(84) + -3*(sqrt(84) + sqrt(84)*-1 - sqrt(84)) - sqrt(84))\/sqrt(12).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.3, -5, 4, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 8*m - 2. Let q(h) = -h. Let j(s) = 5*s - 2. Suppose -5*l + 4*l = 4*g + 6, -4*l - 12 = 4*g. Let b(v) = g*j(v) + 2*q(v). Give -5*a(d) - 6*b(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (c + c - c)*(6*c - 7*c + 5*c) + 7*c**2 - 33 + 33 + (1 - c - 1)*(0*c - 4*c + 3*c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -36708*b + 36709*b + 3*p = -12, -4*p = -5*b + 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 273 divide 5241493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -8540, -34156, -76850, -136622?\n\"Answer: -8539*v**2 + v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (216\/27*1)\/(-68).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/12 + ((-69)\/(-12) - 2). Suppose -12 = h - 3*h. Suppose 5*o = 4 + h. Which is the closest to -1\/3? (a) 0 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -16.94 + 0.94. Let c = -5.6 - v. Let d = 10.40259 - c. What is d rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2530192.\nAnswer: 2, 7, 19, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -356422972*q**3 + 4*q + 12664149 wrt q.\nAnswer: -2138537832*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1105173522?\nAnswer: 2, 3, 233, 263513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -1333*b**2. Let m(p) = -19*p**2 - 204. Let n(l) = -7*l**2 - 72. Let z(q) = 6*m(q) - 17*n(q). Determine z(w(y)).\nAnswer: 8884445*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 1179*i + 404267. What is b(-343)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 0 = -4*p - 1, 12 = -3*p. Put -1, x, 2 in descending order.\nAnswer: 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) 0 (c) -141 (d) -0.1026\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the first derivative of h**2\/2 + h + 1. Let v(a) = a - 1. Let i(n) = -2*n**2 - 174*n - 339. Let m be i(-85). What is m*v(j) - 2*x(j)?\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 284*t - 30 = 290*t. Put t, 0.5, 5, -0.05 in ascending order.\nAnswer: t, -0.05, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*m*x**3 + 2*m*x**2 - 14*m*x + 2*m + 923*x**3 - 37*x**2 - 1367 wrt x.\nAnswer: -12*m*x + 4*m + 5538*x - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be 152\/36 - 2\/9. Suppose 191 = b*y + 43. Suppose n = 2*o - 43, -5*o + 3*n = -2*n - 120. What is the remainder when y is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 2*q + 21. Suppose 475 = -6*b + b. Let s = b + 158. Calculate the greatest common factor of s and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the first derivative of -u**5\/40 + 19*u**3\/3 + 16. Let w(v) be the third derivative of k(v). Let j(a) = 6*a**2. Calculate w(j(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3 - (-81)\/15) + (1 - 3). Factor 0*b + 0 - h*b**2.\nAnswer: -2*b**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) be the second derivative of -1\/3*j**3 + 0*j**2 - 3*j + 0 - 1\/5*j**4 - 1\/50*j**5. Let s(l) = 0. Calculate l.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -357, -767, -1171, -1569, -1961, -2347, -2727?\nAnswer: -3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -8273 - -8271 - (-1 - -64)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -8*v + 2. Does 22 divide z(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**(-2\/9))\/(((((r\/(r*r**(2\/45)))\/r)\/r)\/r)\/r)*r\/r**6*r\/(r**(-1\/13)\/r)*r*r assuming r is positive.\nAnswer: r**(847\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -0.149 times -0.05\nAnswer: 0.00745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -14971 - -0.1\nAnswer: -14970.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 + 1)*-1 + 153\/135. Which is the closest to -2? (a) m (b) 2 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43756759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1510, -3219, -4928, -6637, -8346, -10055?\n\"Answer: -1709*i + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -121 (base 7) to base 12.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + 2*k. Let u = 8 + k. Let b(y) = -y**3 + 7*y**2 + 9*y - 4. What are the prime factors of b(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/14, -28, 1, 1\/3, -5, 0, 0.4 in ascending order.\nAnswer: -28, -5, -5\/14, 0, 1\/3, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4\/16 + 238\/8. Suppose -3*p - 3*y + 66 = 0, 0 = -2*p + p + 3*y + z. Solve 2*k + 27 = 5*j, 2*j = 4*k - 2*j + p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -84, -324, -710, -1230, -1872, -2624, -3474?\n\"Answer: 2*c**3 - 85*c**2 + c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -318, -298, -276, -252?\n\"Answer: s**2 + 17*s - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -41da - -2?\nAnswer: -41d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by -226473.\nAnswer: -5\/226473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 0.4 (b) -5310 (c) 3\/2 (d) 41 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 24214202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be -2*(-6)\/(-4) + 4. Let g(f) = f**3 + f - 1. Determine g(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - -7) + 8 + -1 + -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*j + 55*j + 160 = -57*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -403610354 divided by -2.\nAnswer: 201805177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the second derivative of -j**5\/60 + j**4\/24 - j**3 - j**2\/2 + 6*j. Let x(i) be the first derivative of l(i). Give x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 90507960 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -292.7 + 268. Let x = t + 25. Let b = 285 + -1991\/7. What is the nearest to -4\/9 in -4, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 16552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4330658?\nAnswer: 2, 1231, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*k - 3*o - 27, 64 = -6*o - 2*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 143577 and 1169127.\nAnswer: 8183889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -49*i**2 - 31*i**2 - 1778 + 53944*i**3 - 53928*i**3 + 23*i**2 wrt i?\nAnswer: 48*i**2 - 114*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + 0 + (-5 - 0) + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 18466022 to the nearest integer?\nAnswer: 4297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the first derivative of 12*a**4 - a**3\/3 + a**2 - 2*a - 1. What is the tens digit of w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -13\/15 - 319\/30. Let y = 44 - 68. What is the common denominator of f and -6 + (-896)\/y + (-2)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 - -2)\/((-171)\/(-342)). Suppose -5 + 14 = 3*w. Solve y*o = w*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14747812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -90 + m - m**4 + 9*m**3 + 90 to the form d*m**3 + l*m + g*m**2 + y*m**4 + s and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1097962)\/258 + (-1)\/(-3)*2. What is k rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 666910 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1887718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 234, -0.2, -3, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 + 1020?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 398 minutes before 3:01 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 + -142 - 18240\/(-160)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -0.514, 1\/143, -8 in descending order.\nAnswer: 0.1, 1\/143, -0.514, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 787259 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be 24\/(-12)*(-38)\/(-2). Suppose 0*j + 199 = -j. Let g = i - j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 820405882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 340 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-432)\/(-792))\/((-2)\/(-44)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -15 divided by -80984?\nAnswer: 15\/80984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 3*o = -35, -2*g - g + 5*o + 21 = 0. Suppose 8 = 11*z - g*z. What is the derivative of 308 - 265 + 2*l**3 - z*l**3 + 23*l**4 wrt l?\nAnswer: 92*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*q + 5*q + 2*q)*(-q**2 - 2*q**2 + 2*q**2) - q**3 - 2*q**2 + 2*q**2 + 16 - 16 + q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of -587 and 0.5.\nAnswer: -293.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the second derivative of 2*k**7\/7 + 4*k**3 - 35*k. What is the second derivative of t(c) wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 185 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -d + d + d**4 + (2*d**2 + 0*d + 0*d)*(8*d**2 - 22*d**2 + 11*d**2 - 25) in the form g*d**2 + f + r*d + k*d**3 + v*d**4 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 6, q: 13}. Give prob of picking 1 s and 1 q.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g + 2*v - 7*v = -10, -g = -4*v - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m*(m**(1\/6)*m)\/m*m)**(-1\/6)*m**(-8)*m*m**(12\/7) assuming m is positive.\nAnswer: m**(-1465\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 5377421 to the power of 1\/2, to the nearest integer?\nAnswer: 2319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -27782393 or -27782398?\nAnswer: -27782398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-4 + (sqrt(1216) - sqrt(1216)*-1*6))*-6)**2.\nAnswer: -145152*sqrt(19) + 19310400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 11658.05 to the nearest one hundred.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 268*x - 266*x = 4. Which is the closest to 1? (a) -0.4 (b) x (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor b**4 - 31250*b**3 - 375108*b**2 - 1125400*b - 1000384.\nAnswer: (b - 31262)*(b + 2)**2*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 180 divide 1570320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 3341, 13459, 30321, 53927?\n\"Answer: 3372*k**2 + 2*k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -300676*d**5 - 4*d + 169232 wrt d?\nAnswer: -6013520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10 + -8. Suppose 0*o - i*y = 4*o - 40, -5*o + 50 = 2*y. Let k(b) = b**3 - 11*b**2 - 12*b + 3. Calculate the lowest common multiple of k(12) and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (525\/(-70))\/(3\/2) + 48672\/2. Calculate the highest common factor of g and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1076 and 3497?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -26 times -2213.349?\nAnswer: 57547.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2698700 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -3473, 0.028, 5 in ascending order.\nAnswer: -3473, 0.028, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6 - 4. Suppose x + 9 = 2*c + 2, -4*c = 2*x - 2. Is c greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -l**2 - 26*l. Let y be w(-26). Suppose 0 = -y*s - 2*s + 8. Factor 3*r**2 - 5 + 7*r**2 + 0*r**s - r**4 - 4*r**4.\nAnswer: -5*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1126 - -1120.955. Let j = 0.045 + k. Let q = -0.03 + 0.23. Which is the nearest to q? (a) j (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-16 - (-1309532 + 15))*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 92031200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 2 g, and 1 f when four letters picked without replacement from kfogzggafkok?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h - 865 = -5*h. Suppose -h - 152 = -5*z. Suppose -z = -5*w + 2*q + q, -2*w = 5*q - 57. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -79546*o - 2545450. What is m(-32)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-12)*(0\/(-2))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 74431*y**2 - 21853*y + 1 wrt y.\nAnswer: 148862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, i: 14, j: 1}. What is prob of picking 2 i?\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be (136\/(-6))\/((-76)\/57). Which is bigger: v or 15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes before 11:23 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 69*x - 685. What is y(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -18*u - 14. Suppose -31*n - 240 = -25*n. Let f be 3\/(-6)*n\/((-16)\/4). What is the units digit of v(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3070 + -3069. What is the nearest to m in -4, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12646022, 12646012, 12645998, 12645980, 12645958, 12645932, 12645902?\nAnswer: 12645868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 103, 192, 281, 370, 459, 548?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (46*k + 2*k - 9*k)*(4*k**2 - 2*k + 2*k + (3 + k - 3)*(-10*k - 2*k - 5*k)) in the form d + g*k + c*k**3 + u*k**2 and give c.\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -227 = h + g - 237, 0 = 9*h - 11*h + 2*g - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 341 is divided by 178.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y + 0*y - y)*(3 - 2 - 2) + (-2 + 0 + 3)*(y + 2*y - 6*y) - 21*y - 134*y - 275*y.\nAnswer: -434*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2596*q + 1837.\nAnswer: -2596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-116)\/(-12) - (-2)\/6. Find the common denominator of -31\/6 and (-8 - -10) + 38\/z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4 + 13)*1*-1. Let m(p) = -164*p**2 + 13 - 161*p**2 - 6*p + 324*p**2. What is m(t)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 3*g = -34, -4*v - 6 = 2*g - 20. Let w(i) = -5*i + 33. Let d be w(v). Solve -d*t + 12 = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 117 - 77. Suppose a - x = -a. Solve f + 2 = -3*y + 6*y, 5*f = a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ff when two letters picked without replacement from {b: 8, p: 2, f: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 103790 is divided by 33653?\nAnswer: 2831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**3 - 6*j**2 - 2*j + 7. Let o be u(6). Let a = -6 - o. Let t be a\/(-4) + (-3)\/12. Which is smaller: 2\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of a**3*d**3 + 627426*a**2 - 177*a*d**3 - 4*a*d + 6*d**3 + 4*d wrt a?\nAnswer: 6*a*d**3 + 1254852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*j - 16 = -4*k + 19*j, 3*j - 16 = -4*k. Solve -k*p = z - 0*p - 9, 4*p = 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 875249 and 0.48.\nAnswer: 875249.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10953, -10665, -10187, -9519, -8661, -7613?\nAnswer: -6375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 + -7. Let f(r) = 2*r**2 + 12*r + 12. Let m be f(-7). Let l = w + m. Solve 0 = -z + 2*z - 2*o - 4, -5*z + l = -4*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 33203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + h = -0*h + 163, -8 = 4*h. Let r be 4\/(24\/v)*-2. What is the third derivative of -r*q**2 + 12*q**5 + 3*q**2 - 5*q**5 wrt q?\nAnswer: 420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 11? (a) 0.2 (b) 4\/11 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 29*y - 348. Let d be g(12). Which is smaller: -13\/21 or d?\nAnswer: -13\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 2 (c) -1.081 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 2*j - 78. Let l(x) = x - 1. What is -k(f) + l(f)?\nAnswer: -f + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 73136*a*n**2 - 47497*a - 5 wrt n.\nAnswer: 146272*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -129173526 + 129173546.9999958. Let o = s - 21. What is o rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10*s**3 + 1 - 3*s - 1 - 3*s**3 wrt s?\nAnswer: 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*k**5 + 65*k**2 + 73*k - 1?\nAnswer: 40*k**3 + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 21223, 21225, 21227, 21229, 21231?\n\"Answer: 2*z + 21221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -415763 + 415763.579678. Let z = b + -0.58. What is z rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3350*l - 730*l - 151960 = 0 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 25985 - 1086. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*v**2 + 153 + 156 + 149 - 546 + 2*v**2 + 88.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11574 and 47943366.\nAnswer: 3858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**2 - 13*f - 7. Let t = 17 - 3. Calculate the least common multiple of k(t) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5769019 litres in millilitres?\nAnswer: 576.9019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -45 - -69. Suppose 0 = -41*a - 64*a + 146*a - 3608. Calculate the greatest common factor of a and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2378 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 41\/6 of a hour?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**2\/3 - 37*j\/3 + 19\/3.\nAnswer: -(j + 19)*(2*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3076 + -3075.2. Let t be 1\/(-2) + (-1)\/(-2). Which is the second biggest value? (a) 0.1 (b) -0.2 (c) q (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*f**5\/5 + 82176*f**4\/5 - 164247*f**3\/5 - 390291*f**2\/5 + 472392*f\/5 - 123228\/5 = 0. What is f?\nAnswer: -2, 1\/2, 3, 6846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 426*h**3 - 173*h**3 - 5*h**2 + 2*h**2.\nAnswer: 253*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1\/(4\/(-32))*(-1)\/(-10)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 6) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.1019 + 497.8981. Is l at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2 - 5*h - 4. Let m be l(0). Let q be 702\/20 - (-2)\/5. Let z = q + -38. Which is greater: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:26 PM and 12:58 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -4473 + -5537.26037.\nAnswer: -10010.26037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 35\/44 and 71\/866840?\nAnswer: 9535240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 81, 275, 597, 1047, 1625, 2331, 3165?\n\"Answer: 64*u**2 + 2*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are -7796600 and -2\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -109*u - 214*u + 4173 = 24199. Let d be -6*(-13 + (3 - 4)). Let o = -146 + d. Is o > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1962*g + 2326*g + 2201*g = 5775*g - 97818 for g.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z - 255. What is v(22)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 34*z**2 - 3 - 8*z - 24*z**2 - 6*z. Is i(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by -264.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*d**2 - 1 + 1)*(39010 - 39010 + 145*d - 2*d**2)*(-1 + 1 + 2) in the form s*d**3 + t*d + o*d**4 + g*d**2 + z and give s.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the first derivative of s**8\/1344 - s**6\/240 + s**4\/96 - s**2\/2 + 4. Let w(g) be the second derivative of m(g). Factor w(r).\nAnswer: r*(r - 1)**2*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 3 - 6)*(-141*h**3 + 424*h**3 + 79*h**3)*(-2 + 2*h + 2*h - 2*h).\nAnswer: 724*h**4 - 724*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 6*b**2 - b. Let d(z) = 24*z**2 + 40*z + 120. Let c(l) = l**2 + 2*l + 6. Let a(t) = 20*c(t) - d(t). Calculate a(m(v)).\nAnswer: -144*v**4 + 48*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 9382027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 10411838 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 4 (c) 1 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 9521, 76316, 257625, 610706, 1192817, 2061216?\n\"Answer: 9543*i**3 - i**2 - 3*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hd when two letters picked without replacement from dhdhdhdd?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -296 divided by 5.\nAnswer: -296\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -278*v - 568. Let r be k(-3). What is the greatest common divisor of 171 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -779929716 + 60832745195\/78. Suppose 8*b = 3*a + 3*b + 68178, -2*a - 45452 = 2*b. Let m = a - u. Find the common denominator of -37\/8 and m.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 1\/11116106?\nAnswer: 1\/11116106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = -2*s + 1129, 6*f = s + 3*f - 569. Let n = s + -375. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30105 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.6 - 2. Let m be (-16)\/140*-5 - (-117)\/(-21). What is the nearest to -5 in o, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 20933, 166972, 563365, 1335290, 2607925, 4506448, 7156037?\n\"Answer: 20863*h**3 - h**2 + h + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29422 is divided by 9235?\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -0.6*-869\nAnswer: 521.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.09905129 - 8.09905179. Let m = 3 + 5. Let k = b + m. Round k to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 75340734 and 1281?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 137 minutes before 11:00 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 5, 7, -1, -3, -1797?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -70 + 70 + 0*g**2 + 2*g**2. Let f(o) = -6*o. What is f(r(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*l**2 - 2430*l**3 - 11*l**2.\nAnswer: -2430*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 15449 = -10918 - 80568. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 2*s**3 + 2*s**2 - 6*s - 6. Let h(i) = 4*i**3 + 3*i**2 - 7*i - 7. Calculate 4*a(t) - 3*h(t).\nAnswer: -4*t**3 - t**2 - 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -27413.88 times 0.3\nAnswer: -8224.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h*h**(1\/18)\/h)*h)\/h)\/(h**(-8\/7)*h*h) assuming h is positive.\nAnswer: h**(11\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 679486?\nAnswer: 2, 43, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-17 - 0) + (1 - -5) + -3 + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = 4*b - 30. Let y be -3 + (30\/5)\/(-1 + 4). Let i be y\/(2*3\/(-108)). Calculate the greatest common factor of b and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 - -10. Suppose 4*d - 4 = 2*f + 12, 3*d - 5 = -v*f. Suppose -3*j = -2*q + 5, -5*q + d*j + 14 = -21. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1895 divided by 1\nAnswer: -1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 19 - 13 = 0. Let x(c) = 6*c**t + 3 - 11 - 2*c + 3 + 8. What is x(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -3\/4, -1\/6, 3, -0.1, 25\/11 in ascending order.\nAnswer: -1, -3\/4, -1\/6, -0.1, 25\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20733?\nAnswer: 3, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -91, 1, -4, 0 in increasing order.\nAnswer: -91, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1842 - -1834.9. What is the second smallest value in z, 0.4, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 29*(-4)\/(-464)*23?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12*g + 9*g**2 + 2 + g**2 - g**3 + 6*g - 2*g**3 wrt g?\nAnswer: -18*g + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (5 - 2)\/(3\/4). Let p be 3 - (-33)\/(-9) - -2. What is the third smallest value in p, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 83.25 + -0.45. Let p = -75 + r. Let w = 8 - p. Which is the closest to -3? (a) 0.1 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9348997 + 9348997 - 8*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 7, b: 8, l: 3}. Give prob of sequence llbf.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b - 86 - b + 3*b + 81. Let g(p) = -p + 4. Let z(o) = -o. Let h be z(0). Suppose h = -2*w + w + 2. Calculate w*v(i) + 3*g(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 1778*c = 1792*c + 84 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is g in 6*g**3 + 117*g**2 - 60*g = 0?\nAnswer: -20, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -66 = -4*w + 2. Let d = 21 - w. Let g = -50 + 50. Solve 4*s - 3*y = -25, 28 = -d*s + 4*y - g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -320 + 442402?\nAnswer: 442032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 7331*j - 21225 = 8746*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 1108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1188.54 + -1167. Let s = -0.077 + 19.677. Let a = u - s. Round a to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1272983252 to the nearest integer?\nAnswer: 35679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**2)**47*s**0*s*s**(-2) assuming s is positive.\nAnswer: s**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d**2 - 3*d - 7. Let z be w(5). Suppose 0 = -z*x + 21 - 3. Suppose 0 = x*q - 4*q. Put q, 5, 4 in descending order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, t: 1, h: 3, q: 6, k: 1}. What is prob of picking 2 q and 1 r?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 48 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(1\/2))**(2\/11)\/((t\/(t*t\/(t**1*t*t)*t))\/t)**(-11\/6) assuming t is positive.\nAnswer: t**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 14491558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 32522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -96, 0, -30, -0.02, 0.1?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -208.7 - -209. Let o = -0.3 - 4.7. Which is the nearest to -0.1? (a) o (b) d (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50890.44l in millilitres?\nAnswer: 50890440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7.8 - -8.3. What is the third smallest value in -1, 1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -68 - 0 - (-18 + -8).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -3. Let u be 10*(-6)\/15*2. Let t = u - -7. Let j be (8\/(-10))\/(2\/(-5)). Let o(k) = -k - 1. Calculate j*o(w) + t*p(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 0*c - 41842 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -483480 divided by -6.\nAnswer: 80580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:44 AM and 8:43 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3283 + 7848. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.24*-1.37.\nAnswer: -0.3288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 420 + -420.000003355. What is m rounded to seven decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 31, 0.08, -14, -4.\nAnswer: -14, -4, 0.08, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 + -333422304322?\nAnswer: -333422304313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.64 + 0.24. Let r = 0.12 + f. Let x = 0.29 + r. What is x rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 4*z - 88 = 0, -188 = -2*n - 0*z - 4*z. Suppose -105*s = -n*s - 10. Let i be 4 - (1036\/(-8))\/7*s. Are 42 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 16 + 14?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 - 0 - (-5 + 8) - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:24 PM and 8:23 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -6*x**3 - 2*x**2 - 2*x - 1. Let b be a(-1). Sort -1\/4, -0.1, b, -1.9.\nAnswer: -1.9, -1\/4, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 298353455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -351, -828, -1485, -2412, -3699, -5436?\nAnswer: -7713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1602 and 283811121.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6 - -8. Let m(v) = v**3 + 2*v**2. Let y be m(n). Suppose -c - 2*c = -12, -i - 3*c = -52. What is the greatest common divisor of i and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.7 in 0, -2, -5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 - -6. Suppose 0 = 4*p + 17 - k, -5*p = 4*b - 260. What is the remainder when b is divided by 540\/(-80)*(-16)\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*s + 6 - 5 + s - 3.\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -13 - 18?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q - 3 = 0, 441 = -2*o - q + 432 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/43 and 40\/3.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -11415116 take away -0.1?\nAnswer: -11415115.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 202 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -5*m + 9. Suppose 5*t + m*r - 109 = 0, -5*r - 20 = -2*t + 36. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 140*a = 86 + 334 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -2*j - 25. Let t = -130 - -131. Sort j, 3, t.\nAnswer: t, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -121 (base 4) to base 7.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 91.08424 millimeters to micrometers.\nAnswer: 91084.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/36)\/((-19)\/((-3078)\/(-24))).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(-28)\/(m*m**(2\/89))*(m\/(m*m*m**(1\/30)*m))\/(m\/(m*m**(-2\/9)*m)*m) assuming m is positive.\nAnswer: m**(-250537\/8010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be 54\/42 - ((-8)\/4 - -3). Let m = 0 + 0. Is p != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16752483*f**3 - 30*f**2 + 31*f**2 + 16752338*f**3.\nAnswer: -145*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 29 - 25 = 11*f + 81 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the third derivative of h**4\/12 + 2*h**2. Let b(j) be the third derivative of -j**4\/4 - 3*j**2. Determine b(i(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1834444?\nAnswer: 2, 458611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2*1\/3)\/((-264)\/(-44)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m**3 + m - 1. Let j(z) = -2*z**4 - 6*z**3 + 6*z + 1. Let l(c) = -j(c) + 6*n(c). Differentiate l(q) with respect to q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -705*s**2 - 2*s. Let u(y) = -2*y**2. Calculate x(u(r)).\nAnswer: -2820*r**4 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4675\/(-374)*2\/(-5). Let k be ((-6)\/4)\/3*-6. Solve 0 = h*x - 3*l + 11, -k*x + 0*x + 5*l = -3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*q + 0 + 2*q**2 - 1 - 1)*(-589*q - 85*q + 125*q) as n*q**2 + k*q + w + b*q**3 and give n.\nAnswer: -1098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 259 + -215 - (11 + -13)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -84175178*a**4 + 4688047*a**2?\nAnswer: -2020204272*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let -4*h**4 - 58528*h**3 - 8194140*h**2 - 307533536*h - 1340127680 = 0. What is h?\nAnswer: -14491, -68, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is ((8\/(-2))\/2)\/(28\/42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17514 is divided by 449.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 6, -5 in increasing order.\nAnswer: -7, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8929533?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 74*x - 66*x - 120. Let -4*j + 2*j + j + x*j**3 + 4*j - 21*j**3 - 3*j**2 = 0. Calculate j.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -i - 3. Suppose -i*f - 3*z + 15 = -0*f, 4*f = -z + 17. Suppose 0 = -j - f*j + 15. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u**2 - 2*u**2 + 2*u**2)*(-2*u + 3*u - 2*u)*(100*u + 89*u + 1005*u**2 - 189*u).\nAnswer: 2010*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11792 is divided by 138?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 110100011001011010001 (base 2) in base 7?\nAnswer: 20410446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 52233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/(-3)*9\/3. Let x(l) = -2*l**2 - l - 2. Let b(q) = q + 1. Let r(d) = p*x(d) - 6*b(d). Give r(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1496604 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 154?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let -a**2 - 496240*a - 61563534400 = 0. Calculate a.\nAnswer: -248120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = -92 + 98. Let m(d) = d**2 - 2*d - 22. Let l be m(b). Solve -5*g - 4*u - 11 = -3*u, 0 = l*g - 2*u + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.489447 plus 0.23318?\nAnswer: 1.722627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 5280640 to the power of 1\/2, to the nearest integer?\nAnswer: 2298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the third derivative of d**9\/1512 + d**5\/40 + d**3\/6 + d**2. Let r(k) be the first derivative of m(k). What is the second derivative of r(h) wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(2\/25))**(-17)*(z**(-4)\/z)**(-32) assuming z is positive.\nAnswer: z**(3541\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*j*q**2 - 17*j*q - 18*j - 6*q**2 + 5 wrt j?\nAnswer: -2*q**2 - 17*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 531 = -1061*z + 1002*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = b**2 + 5*b + 10. Let u be y(6). What is the greatest common factor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q + 19. Let l be c(-15). Let a be 10\/8 - 1\/l. What is the closest to a in -3\/5, 4, -10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -464 + 464. Which is the closest to u? (a) 0.4 (b) -5\/2 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = -a. Suppose a = -5*c + 40 - 15. Let s = -2 + c. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -3*y**2 + 3*y - 6. Let c(d) be the third derivative of d**5\/30 - d**4\/12 + d**3 - 6*d**2 - d. What is 5*c(s) + 4*u(s)?\nAnswer: -2*s**2 + 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -21 - 242. Let i = 74 - z. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 41ccaf - 1d?\nAnswer: 41cc92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6324 divided by -3.\nAnswer: -2108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 63\/3760 and -43\/1128?\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i*i*i**(-3)))\/(i*i\/i**(-4\/3)))\/(i*i**(-1)\/i*i*(i*i**(1\/7))\/i) assuming i is positive.\nAnswer: i**(-31\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1935 - 5803\/3. Find a, given that -2\/3*a**2 + 0 - b*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -s**3 + 14*s**2 + 16*s - 11. Let k be x(15). Let w = 20 + -10. What is the greatest common factor of w and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 <= -290\/4299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the second derivative of j**7\/189 - j**6\/15 - 121*j**5\/90 - 263*j**4\/54 + 40*j**3\/9 + 272*j**2\/9 - 2*j + 10. Find d such that o(d) = 0.\nAnswer: -4, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c**2 - 5*c**2 + 5*c**2)*(-c - 1 + 1) + (0*c + 2*c + 0*c)*(-3*c + 3*c - c**2) + c**3 - 4*c**3 - 3*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 5 plus 74429525075?\nAnswer: 74429525080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 26751? (a) 4 (b) 0 (c) 2 (d) 46 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -339, -692, -1045?\n\"Answer: -353*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -32, 2\/3, 19?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the second derivative of -l**6\/50 - 13*l**5\/20 - 103*l**4\/30 - 14*l**3\/3 + 36*l**2\/5 - 2343*l. Suppose g(v) = 0. Calculate v.\nAnswer: -18, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 608*v**6 + 488*v + 53*v**2 - 230*v**2 - 488*v wrt v.\nAnswer: 72960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -409, -435, -465, -499?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 2*w)*(-5 + 4 + 2) + 0*w + 5*w - 4*w + (15 - 9*w - 15)*(-4 + 5 - 2).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**2 - 7*a - 590. Let b be v(28). Let n(y) = 9*y - 1. Let h(i) = -3*i. Let c(f) = 11*h(f) + 4*n(f). Let s be c(5). Put s, b, 3 in increasing order.\nAnswer: b, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes before 2:42 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z + z**2 - 8 - 1 + 15 - 1. Give b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 6, w: 12}. Give prob of picking 2 w and 2 e.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -89*i*v**2 - 301*i*v + i + v**2 - v wrt v?\nAnswer: -178*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {l: 2, q: 1, u: 9, o: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-8)\/(-1)*(2 - -9). Let j = -52 + d. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*-4*sqrt(5)*4.\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7? (a) 1\/3 (b) -5\/2 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1350*s + 1555*s = 19713620. List the prime factors of s.\nAnswer: 2, 29, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -132021 (base 4) to base 16.\nAnswer: -789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -1475 < -1484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:13 AM and 11:10 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 77\/10 and (-9)\/9 + (-70)\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18925338631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 7*q = -5*k + 597465, 0 = 4*k - 12. What is q rounded to the nearest one thousand?\nAnswer: -119000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -69\/40634 and -111\/25858.\nAnswer: 284438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -23437*x**5 + 23398*x**5 - x + x + 94*x**2 wrt x?\nAnswer: -2340*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1 - 1 - -7) + -3. Suppose -f*u - 2*u = -3288. Let i = u + -77. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1029302232 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 45 = -4*k, -v = -0*k - k + 5. Suppose 5*o + p = 8, 2*o + 4 = -0*o - 4*p. Calculate the highest common factor of o and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence viv when three letters picked without replacement from cvuiuvca.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3503558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes after 12:40 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 12 = -3*y. Let b = -2 - y. Suppose -2*v + b = -6. Solve -3*p = v + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 40383*d. Let p(x) = 2*x. Calculate p(r(i)).\nAnswer: 80766*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0009942333222 rounded to 7 decimal places?\nAnswer: -0.0009942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2139964425?\nAnswer: 3, 5, 2857, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**3 + 17*z**2 + 39*z - 37. Let m be l(-14). What is the second derivative of 104*t**4 + 62*t**m - 104*t**4 + 126*t - 34*t**5 wrt t?\nAnswer: 560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 75 - 73. Suppose -2*i = -3*t + 9, 4*t - f*i + 6 - 18 = 0. Determine p so that -6*p + 6*p**2 - 6*p**3 - 437 + 439 + 4*p**t = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1539) - (sqrt(1539) - (sqrt(1539) - (-6*(-2*sqrt(1539) - sqrt(1539)) - sqrt(1539))))) + 5 + -3 - ((-2*sqrt(1539) + 5)*3 + 3))**2.\nAnswer: 2880*sqrt(19) + 154156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -281.72531 times -0.1?\nAnswer: 28.172531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -78 times 4.243\nAnswer: -330.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m - 29*x + 30*x = -3, 4*m = x + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 4*o = q + 6, 3*o + 14 = -4*q. What is the remainder when 59\/(1 + q + 2) is divided by (1 + 39)*(-3)\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 19769?\nAnswer: 2\/19769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 2 - 3*a + 0*a + 23*a**2 - 1. Let g be n(1). What is g rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*6.19.\nAnswer: 6.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -4 (b) 2\/3 (c) -9.4 (d) 165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5\/7, -19\/4, 21187, 5\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -22690289, -22690290, -22690291, -22690292, -22690293?\n\"Answer: -d - 22690288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and -10639.2286.\nAnswer: -5319.6143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -30*c**2 - c - 10. Let h be r(5). Let y = -10657\/14 - h. Let d = -19175 - -421749\/22. What is the common denominator of y and d?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from icucpccubuccccccbebi. What is prob of picking 1 e and 1 p?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 420 and 18?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -579*s**3 + 2*s**2 + 32*s + 30. What is the remainder when y(-1) is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*m + 2*m + 0*m)*(5*m - 10*m - 2*m + 12) to the form s*m + o*m**2 + v and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*o**2 + 3*o**2 + o**2)*((1 - 3 + 1)*(4 - 1 - 1) - 13 + 27 + 21 + 28 + 22 - 32) + o - o + o**2.\nAnswer: 52*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9926313 kilometers to micrometers.\nAnswer: 992631300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**2 - 6*p + 6. Let n be z(-6). Let k be ((-2)\/n)\/((-4)\/24). Solve 2*g + 6 = -2*c, 4*c + k + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -4*m - 12. Let o = -19 - -11. Does 10 divide q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2, -15, -1795, 5\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/160 + (5 - 3)\/16.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 20 = 4*u, 1 = -v - 0*u - u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/10 + 0 - ((-1834)\/(-56) - 33)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 3*q = f - 317, -5*q - 325 = -2*f. Suppose -m + f = m. Suppose a + m = 6*a. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8358*x + 9*x**2 - 8358*x - 8360*x + 33443*x - 8367*x - 8*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*g + 4*g + 4*a + 26, 0 = -2*g - 3*a - 11. Let o be (g - 3)*5\/(-1). Suppose -15 + o = -2*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -149184750 divided by -2260375\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*m - 6*m + 2*m + 8098*m**2 - 8154*m**2.\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5ca7869 + 2?\nAnswer: 5ca786b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 493435853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1 - 12*-8*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes after 7:26 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**2 + n + 2. Let c be o(0). Suppose 0 = -i - 0*i + c. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2424.54 take away 1006.19?\nAnswer: 1418.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (1 - (10 - 9)) + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -4335*d. Let w(z) = -23*z. Give x(w(s)).\nAnswer: 99705*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5.9? (a) -5 (b) 4 (c) 5\/209 (d) -2 (e) -0.044 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 4 - (-48 + 57 + (5 - 1) - 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -4*x**2\/7 - 16888*x\/7 + 84540\/7 = 0. Calculate x.\nAnswer: -4227, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.84643 years to decades.\nAnswer: 0.484643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 163\/180 and 9\/80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p + 30 = -61. Let r(z) be the first derivative of -z**3\/3 - 7*z**2 + 18*z - 2. What are the prime factors of r(p)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -12*o + 8. Let d(b) be the first derivative of -13*b**2\/2 + 7*b + 1764. Determine 7*d(h) - 6*n(h).\nAnswer: -19*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 374\/44150837 - 4760437218724\/669547443105. Let b = 2\/1685 - k. What is the common denominator of 30\/83 and b?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -534 - 717 = y. Let v = y + 2204. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1475 + -1487. Let k(w) = -w**2 - 10*w - 2. Calculate k(i).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 17005\/3 - 5661. What is the smallest value in k, 4, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 2*f - 9. Let o be j(6). Let -g**5 + 2*g**4 - o*g - 3*g + 10*g - 8*g**2 + 3*g**3 = 0. Calculate g.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the first derivative of 10*l**3\/3 + 5*l**2\/2 + 5*l + 21. Let n(i) = -11*i**2 - 6*i - 6. Calculate -5*n(d) - 6*o(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(216)\/(-3*sqrt(9)))\/sqrt(8).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one fifths of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 70 = -3*t + 88 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 - 6. Suppose 14*t - 15*t = 4*z - 51, -2*t - z + 67 = 0. Let a(b) = -15 - 3*b + t - 8 - 14. Give a(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h - 4*f - f - 14, 2*h = -f. Let o be 1 + (-12)\/(-10) - h\/10. Solve 11*g - o = 9*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 - -0.9. Let c = -24.5 + 26.5. Let q = 3 - 0. What is the second smallest value in c, q, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3\/32 of a week?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 482*w + 958 - 1746 + 4096 - 474 wrt w?\nAnswer: 482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l + 3*g - 10, -3*l - 3*g = -0*g - 3. Let u(h) = 32 - 10*h - 32 + 9*h + 18*h. Give u(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let g be -4 + 44\/12 + 39\/9. Find the second derivative of 3*q**4 - 3*q**g + 2213*q**5 - 2173*q**5 + 16*q wrt q.\nAnswer: 800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 25 + -22 + -3 + (0 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w + 37. Let l be k(-30). Let b(z) = 19*z - 113. Let r be b(l). Solve r = 40*d - 36*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 179 + -359. Let d = -85 - y. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1434*w**3 - 3*w**2 - 6159*w + 3 wrt w?\nAnswer: -8604*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 0 = 384\/1237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-110)\/33*36\/(-10). Factor -9*o**4 + l*o**3 + 20*o**5 - 16*o**5 - 3*o**4 - 4*o**2.\nAnswer: 4*o**2*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 3)*(-2*p + 2*p + 3*p) + 2*p - p + 0*p + (-2 + 7 + 2)*(p + 3 - 3).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 6 = u - 5, -5*u = 2*s - 16. Let d be u\/12 + 119\/6. Suppose 0 = -3*i - i + d. What is the highest common divisor of 10 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*g**2*q*x**3 - g**2*q*x**2 - 2*g**2*q*z**2 + 7*g*q*x**3*z + q*x**3*z**2 - 3*q*x*z**2 + 3*x**2*z + 2*z wrt z?\nAnswer: -4*g**2*q + 2*q*x**3 - 6*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -13 = -3*z - 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Subtract 520.85 from -2087664.\nAnswer: -2088184.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 868 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.4 - -3. Let f = n - -1.4. Which is the biggest value? (a) f (b) -0.1 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, h: 3}. What is prob of sequence rrh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/7 + (77610\/(-10374) - (-4 - 4))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 123 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k + 15 = -3*x, -2*x - 25 = 3*x - 2*k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 36149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (1020\/(-105))\/(278\/(-9730)*((-5)\/2)\/1)\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((-5 + sqrt(12)\/(sqrt(36)\/(sqrt(36)\/sqrt(4))) + 2)**2 + -3 + 5)*-3.\nAnswer: -42 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*p**3 - 15*p**2 + 30*p + 40.\nAnswer: -5*(p - 2)*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -89, -476, -1429, -3230, -6161, -10504, -16541, -24554?\nAnswer: -34825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 5424*n**2 - 16. Let p be t(-3). What is p rounded to the nearest 1000?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6898 is divided by 133?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 + 3.1. Let f = r + -1.4. Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -18437345, -18437343, -18437341?\n\"Answer: 2*m - 18437347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3 - 23?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5731 - 15894 + 5726 + 4*l + 4437.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/4*8\/10. Suppose 4*z - 24 = -b + 20, 0 = -4*z - 5*b + 28. Let u = -0.03 + -0.97. Put r, z, u in decreasing order.\nAnswer: z, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3157 is divided by 1554?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 3*i**3 + 26889*i - 7*i**2 + i**3 - 26876*i + 3. Let r(d) = -d**3 + d**2 + d - 1. Determine -h(p) - 5*r(p).\nAnswer: p**3 + 2*p**2 - 18*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = -0*f + 5*f. Suppose -4*s + f*s - 68 = 0. What is the remainder when s is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3981 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 146399*z - 4762 - 146397*z - 6254 to the form m*z + s and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -5*h - 4*h - 2 + 2*h + h wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 83*u - 1310 = 19*u + 1634. Solve -12*p + u - 118 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 380 is divided by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -3445610, -6891248, -10336886, -13782524, -17228162?\n\"Answer: -3445638*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 497 and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -29, -5, 1 in decreasing order.\nAnswer: 1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c + 15. Let w be r(13). What is the common denominator of 1\/w + (-14)\/36 and 3\/(-6) + 65\/22?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14439523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 9, y: 5}. Give prob of sequence yy.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*l**3 + 7*l**3 - 4*l**3 - l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -202 + 100. Do f and -718\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -102, -105, -110, -117?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(1\/6))**(-1\/4)\/(w**(2\/19))**41)**(-2\/31) assuming w is positive.\nAnswer: w**(1987\/7068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 70 = -3*c - 7*v, 4*v - 20 = 0. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -5\/3, -0.2, -1, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/(-8)*-10*(-4)\/(-150)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**2 - 5*j - 5. Let n be b(-4). Let u be n\/(-4) + (-19)\/(-4). Solve u*a - 4*y - y = 0, -3*y + 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 31 in 0, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwzd when four letters picked without replacement from {z: 1, d: 1, w: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) 3 (c) 160 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 441 - 469. Let t be (108\/(-21))\/(-6)*r\/(-6). What is w in -8\/3*w + 0 - 4\/3*w**3 - t*w**2 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -80 = -5*j + 10*c, 4*j + 255220 = -4*c + 255236 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -5*u**2 - 15. Let q = -1 + -7. Let d(z) = -2*z**2 - 5. Let i(k) = q*d(k) + 3*c(k). What is the derivative of i(f) wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-16)*(-12)\/(-18))\/((-5)\/(240\/2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -27 - (-850 + 865)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let j = 277 - 716. Let l = -100 - j. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -3093, -3114, -3135, -3156, -3177?\n\"Answer: -21*r - 3072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 215*c. Let j(p) = -2*p. What is a(j(i))?\nAnswer: -430*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Do 640 and 19852\/31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 235 + -135. Let x be (24\/o)\/((-4)\/2620). Let u = x + 12401\/80. Calculate the common denominator of u and -93\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(35) - sqrt(35)*1*3) + sqrt(2240)*3)\/(sqrt(7) - (sqrt(7) + 1*sqrt(7))*-3 - sqrt(56)\/(sqrt(8)*3)).\nAnswer: 33*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3240280.\nAnswer: 2, 5, 59, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-56)\/(-24) - (-4)\/6. Suppose k - 37 = -2*f, y*f - 5*k + 7 = 95. Solve 4*z - 11 = x, -2*x + z + f = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 31, 151, 477, 1111, 2155, 3711?\n\"Answer: 17*u**3 + u**2 - 2*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 205*z = 407*z + 2828 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 39189*f**2*z**3 + 2*f**2*z**2 + 2*f**2*z + 23*f**2 + 86*f*z**3 - 17566*f*z**2 wrt f.\nAnswer: 78378*z**3 + 4*z**2 + 4*z + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the first derivative of 163 - 10*s**2 + 123*s**2 + 18676*s**3 - 18686*s**3. What is the second derivative of u(c) wrt c?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = -2*b + 304, 104*b + 752 = 5*h + 107*b. What is the highest common factor of 666 and h?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 95978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 - 2 + 2)*(0 - 1 + 6) + (2 + 2 - 3)*(-4 - 2 + 4) + 3 - 3 - 1 + (4 + 0 - 3)*(-1 - 2 + 4))*(4*s - 2*s - s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4 - 12*a + 33*a**2 + 6*a**2 + 47*a**2 + 12*a to b*a**2 + s*a + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 2*l**3 - 6*l**2 + 2*l + 9. Let f be u(4). Let p = f - 45. Solve 4*g + p = -4*c, 3*c + 0*g + 9 = -g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-4)\/(-8))\/((-1)\/(-8)). Suppose -2*s - 3 = 2*q - 17, -2*s = i*q - 18. Calculate the smallest common multiple of q and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*n - 68034*j + 5 = -68039*j, j + 1 = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 23 = 1. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(567) - sqrt(7)) + 0 + (sqrt(63)*4)**2.\nAnswer: 8*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5679 + 73825\/13. What is the fifth smallest value in 0.4, 1, -4, -16, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 495994*c**3*l**3 - 3*c**2*l**3 - 617*c**2*l**2 - c**2 - c*l**3 - l**3 wrt c.\nAnswer: 2975964*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zhhhhhhihhh. What is prob of picking 2 h?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 + -9 - (1 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -147.806076 times -5?\nAnswer: 739.03038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -100, -104, -108, -112, -116?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 234509.\nAnswer: 11, 21319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -50522345 divided by -5\nAnswer: 10104469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2025059*j**2 - 6*j - 59133?\nAnswer: -4050118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2975.9 + -2976. What is the closest to 4 in 4\/7, -3\/5, c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(2\/5)\/j)\/j)**(-1\/9)\/(j\/((j**(-1)\/j)\/j))**46*j**(-1\/2)\/j*j\/j**(-3)*j*(j*j\/(j**(-1)\/j*j))**(-13) assuming j is positive.\nAnswer: j**(-19739\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(1\/5))**(-1\/8) assuming m is positive.\nAnswer: m**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the second derivative of -3*u**2 + u + 1\/20*u**5 + 0 + 0*u**4 + 2\/3*u**3. Is q(4) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 275 - 4123\/15. Let n be 3\/26*4\/3. Which is the closest to 0.1? (a) p (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(363)*-3)**2.\nAnswer: -16335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 96648937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -7*w + 2. Let t(l) = l**2 + 8*l + 5. Let u be t(-7). Calculate the remainder when 45 is divided by z(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 210*i**6 + 55*i**5 - 280*i**2. Let t(d) = -15*d**6 - 4*d**5 + 20*d**2. Let g(o) = 55*t(o) + 4*v(o). Find the third derivative of g(y) wrt y.\nAnswer: 1800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 154357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*k**5 - 16*k**4 + 118*k**3\/3 + 92*k**2\/3 + 16*k\/3 = 0 for k.\nAnswer: -4, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes after 1:40 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 144 = 2*h. Suppose -3*a = -a - h. Suppose -31 = -4*u + 41. What is the highest common divisor of u and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 24182, 24184, 24186?\nAnswer: 24188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/15, 4, -1\/6, -0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*o**3 - 44*o + 39*o - 8*o**3 - 6*o**2 - 19*o**2 + 5.\nAnswer: -5*(o + 1)**2*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor x**3\/6 + 193*x**2 + 3467*x\/6 + 385.\nAnswer: (x + 1)*(x + 2)*(x + 1155)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 34*q**2 - 55*q - 67. What is the remainder when 1298 is divided by j(-3)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = -4*o - 3*d, 79*d = 3*o + 75*d + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 5 times 2667869\nAnswer: 13339345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 125\/154 and 81\/112?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 3*v - s + 5*s, 2*v = 3*s - 1. Let t = -76.32 - -75.82. Which is the nearest to -1? (a) v (b) t (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*f + 684*f**2 + 67*f - 20*f - 23*f.\nAnswer: 684*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.08 (b) 3 (c) 345 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.08*438.\nAnswer: 35.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5.38 - 2.9. Let t = -7.88 - f. Let a be 2 - ((-36)\/(-19) + 0). What is the smallest value in t, -6, a?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(((sqrt(119) - sqrt(119)*5) + sqrt(119))*1)\/sqrt(7)*-1)**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 584 and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4 (b) -1161 (c) 3\/2 (d) -7.7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -831.4 to the nearest 10.\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 5110516127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -21949 = -1680*c + 90617 - 1686 for c.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 18 - (-30 - ((29 - 16) + -28))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 21244 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-18)\/(-4) - 5\/(-10). Solve l - 3*n = -10, 4*l + n = w*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/5, -3, 0.0065?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13375 is divided by 13248.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:10 PM and 3:31 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -92 + 98. Let g be (-1)\/(-4)*(14 + -12 + d). Suppose 8\/5 + 12\/5*f**g - 4*f = 0. Calculate f.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*t**2 - 4*t**2 - 5*t**3 + (2 - 2 + t**2)*(-2*t + 4*t + 0*t) + (-1 + 2*t + 1)*(t**2 - 3 + 3) as i + z*t**2 + p*t + o*t**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.67754l to millilitres.\nAnswer: 2677.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x**3 + 7*x**2 - 6*x - 7. Let v be o(5). What is the remainder when (v + -14)\/(5312\/1772 + -3) is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f**4 + 0*f**3 + 0*f**3)*(2 - 2 - 2*f + (4 - 4 + f)*(-5 + 2 + 2) + 1 - f - 1 + f + 4*f - 7*f - 1 + 0 - 4*f + 2*f) + 17*f**5 - 44*f**5 + 18*f**5.\nAnswer: -f**5 + f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 2*c**3 - 28*c**2 + 64*c + 32. What is the remainder when 120 is divided by t(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 3*f**2 + 2*f. Let x be h(-2). Suppose -w = w - x. Suppose 5*a - a = 4*k + 20, a = -w*k - 20. Put k, 3, -4 in increasing order.\nAnswer: k, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 243833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 25 - -11. Suppose -v = -0*v - 18. Calculate the highest common divisor of l and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 - 3 = -x. Let u(t) = t**2 + 3*t. Let y be u(-3). Suppose 4*h = 2 + 2. Which is the third smallest value? (a) x (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2798 - 2798. Solve -14*k + 75 + 23 = v for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in -x**5\/3 + 338540*x**4 - 5078057*x**3\/3 - 18281198*x**2\/3 + 43332960*x - 162498400\/3 = 0?\nAnswer: -5, 2, 4, 1015615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 0*k - 19 = 3*k, 5*k = -10. Let z be 4\/1 + (g - -11). What are the prime factors of -1*z\/((-2)\/75)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -90.76 - -204.03. Let q = 155 + -269. Let z = g + q. Round z to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hg when two letters picked without replacement from {s: 4, h: 1, g: 3, p: 1, q: 2, o: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**3 - 10*x**2 + 19*x + 248. Calculate j(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 12.74614 years?\nAnswer: 1.274614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 18, t: 2}. Give prob of picking 2 x and 2 t.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 27176 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-49)\/84*-3)\/((-1)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27432, 27377, 27320, 27261, 27200?\nAnswer: 27137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 3 + 1)*(-10 - 9 + 20 - 3*g)*(3*g - g + 0*g) in the form a*g + b + r*g**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/8)\/(((-165)\/(-4))\/(-55))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-5) - (-1)\/5. Let i = 15310.08 - 15310. What is the nearest to -1 in -3\/5, i, s, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -6*g - 1. Let k be s(-1). Suppose -20 = p - k*p. Suppose p = z - 1. Solve -2*o = -4, 5*o - z = -3*v - v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k**4\/5 - 32659338*k**3\/5 + 55987419*k**2\/5 - 13996852*k\/5 - 9331236\/5 = 0. What is k?\nAnswer: -2\/7, 1, 4665618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be 15\/3*(-48)\/(-4). Suppose 5*p - 300 = -q. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 2*u + 24 = 0, f - 21 = 5*u + 4. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 94 (base 14) to base 12.\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -497 - -8146. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3.997 - -1.003. Let x = 1 + -1. Let p = 1.5 + -2. Sort x, p, l in decreasing order.\nAnswer: l, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 3*o = -4 - 0, 4*o = -5*y + 75. Let a(n) = -n**2 + 10*n + 12. Let g be a(y). Let l = 130 - 7151\/55. Is l bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:39 AM and 4:50 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(8)\/(3*sqrt(2) + sqrt(2)))\/(sqrt(14)\/(sqrt(7)*-2)))**2 + -2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = k - 3*k + 3*z, 3*k = -5*z + 8. What is the nearest to -1 in -5, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4953631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 275 (base 9) in base 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 41*s - 38*s. Let o(w) = 1 - w + 2 + 0. Let m(t) = -2*t + 7. Let q(r) = s*o(r) - 4*m(r). Determine q(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -121\/6 and -2 - (158\/4 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -11*m - 1. Let p be a(-1). Find o such that -3*o**2 - 27*o - 9 + 5*o + p*o = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -5, -3, -0.1, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 5196.71um to kilometers.\nAnswer: 0.00000519671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 125685944 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5556*w - 5551*w - 9 = -2*a, 5*w + 19 = 2*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*c + 8*c - 4*r + 331 = 0, 1655 = 5*c - 5*r. Let w = c + -328. Factor 2\/11*m + 2\/11*m**2 - 2\/11 - 2\/11*m**w.\nAnswer: -2*(m - 1)**2*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -11 + 20. Suppose -6 = -2*f - p, 0*f - 2*p = 3*f - 8. Calculate the remainder when b is divided by ((-4)\/(-6))\/(f\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 5 = 5*m. Let j be (7 - 6)*(6 + 1). Suppose -5*n - r - 9 = j, -n + 3*r - 16 = 0. Put -1, n, m in descending order.\nAnswer: -1, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(4032) + (sqrt(4032) - (sqrt(4032) - (sqrt(4032) + (0 + sqrt(4032) - sqrt(4032))))) + sqrt(4032))*4 + -5 + -5)**2.\nAnswer: -5760*sqrt(7) + 580708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2017512 and 240180.\nAnswer: 10087560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Total of 83.221 and -7253.\nAnswer: -7169.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -0.803*6833\nAnswer: -5486.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -35 in 8, -0.4, -1.1, 0.3?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 6*c - 218 = -3*h, -4*h - 120 = -2*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 2*u + 3. Let y be k(-4). Let b(t) be the second derivative of 0 + 5*t**2 + t + 1\/6*t**3. Determine b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 9 (base 15) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1368 + -1268. Calculate the remainder when 1597 is divided by x.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 243690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3105*i**3 + 523*i**3 + 810*i**3.\nAnswer: 4438*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxjxxxxx. What is prob of picking 2 x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -441901*p. Let m(h) = -223*h**2. Determine b(m(d)).\nAnswer: 98543923*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 289140 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -20*f + 9*f**2 + 20*f - 1 + 1 + f**2 + (3*f + 2*f - 4*f)*(1 - 1 - 2*f) - 40*f**2 + 15*f**2 - 28*f**2.\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/10 smaller than 22.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -37 + 36.9999365. Round u to 6 dps.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**3 - 4*g**2 + g + 3. Let t be 313\/5 + (-12)\/(-30). Let m = t + -63. Suppose 5*w - 2 - 18 = m. Calculate j(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1 + 5)\/3 + -1. Let b(r) = 22*r - 1. Let u be b(g). Suppose 1 + u = 5*h - 3*f, 0 = -5*h + f + 14. Sort 3, h, -4.\nAnswer: -4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1.241, 90, 0.3, -0.111?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4, 40, 20349, -0.3, 3 in descending order.\nAnswer: 20349, 40, 3, -0.3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 2312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.23, 2, 3730?\nAnswer: 3730","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-18 - -17)\/(2\/(-8)). Suppose 6*l - 4*g - 32 = 5*l, -b*l = 3*g - 204. Let x = 16 + l. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (72 - 72 + 79*x**2 + (-4*x**2 - 2*x**2 + 5*x**2)*(4 - 1 - 2))*(4*x**3 + 2*x**3 - 4*x**3).\nAnswer: 156*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 367*f - 456. What is r(2)?\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + 2 - (14 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 26, 30, 20, -10, -66, -154, -280?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 33049 or 3?\nAnswer: 33049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u + 2 = -5*h, -57*h + 74*u = -62*h + 69 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0 - (5\/4 - 1). Let b(w) = 3*w + 24. Let f be b(-8). Is f not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**3 + 4*x**2 + 5. Let z be (-42)\/9*(-54)\/21. Suppose -45*b - z = -49*b. Calculate the lowest common multiple of b and u(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.27 and -21787.1.\nAnswer: -21786.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -1 + 4. Suppose 2*p = 2, 7*p - l*p - 1 = -v. Let g be (v - (-1 + 1)) + 24. Calculate the greatest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -10, -86, 248.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 2)*(37 - 25 + 46)*(-2 + 2 - x**3 - x**3 + 0*x**3 + 0*x**3 + (0*x + 2*x - x)*(0 + 0 - 2*x**2) - x**3 + 4*x**3 - 2*x**3).\nAnswer: 348*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-48)\/(-26) + (-44)\/(-286). Suppose y + 6985531 = 3*k + 755516, -b*y - 12459985 = 3*k. What is y rounded to the nearest one hundred thousand?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b + 18. Let x be s(-14). Let j(z) = 7*z - 16*z + x*z + 4*z. Let d(h) = 5*h. Calculate j(d(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -497\/262 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9 and (-1)\/(-3) - (-5 + (-308)\/12)?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 1, u: 8, b: 1, t: 2, c: 4}. Give prob of sequence utbg.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 6, e: 1, l: 1, t: 3, j: 2}. Give prob of sequence tjje.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -4*r - 6. Let w(s) = -s - 3. Let v be w(-2). Calculate the remainder when d(-6) is divided by (-1)\/(v - (-9)\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -11105 - -55832\/5. Let v = x - 61. Let l = 29 - 29.2. Which is the second smallest value? (a) -0.17 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -807195.4 to the nearest one hundred.\nAnswer: -807200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -19003, -37782, -56557, -75328, -94095, -112858, -131617?\n\"Answer: 2*s**2 - 18785*s - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v**2\/9 + 3808*v\/9 - 1270\/3 = 0. Calculate v.\nAnswer: -1905, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 115037039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3633 and 33936?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -311, -371, -469, -605, -779, -991?\n\"Answer: -19*x**2 - 3*x - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -w - 26*o = -31*o - 100, 2*w + 2*o = 11*w - 83 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -112 + 50?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5 - 13. Let k = 8.5 + h. What is the nearest to -3 in -2, 5, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 6*k**5\/11 + 58*k**4\/11 + 42*k**3\/11 - 282*k**2\/11 + 16*k = 0.\nAnswer: -8, -11\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.022 - 0.02156. What is z rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 16458 and 633?\nAnswer: 16458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 24 and 1944?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4)\/(-2 + (-52)\/(-25)). Let d(w) = -w**3 - 18*w**2 + 37*w + 289. Let l be d(-19). Let y = i - l. Solve 0 = -4*h + 5 + y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(-3)*69\/(-184)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 4*c - 3*c. What is the remainder when (-65)\/(-1) - (-1 - -1) is divided by (-204)\/c + 2\/(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1608810 divided by 17115\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2253*s**2 + 2027*s**2 - 4251*s**2.\nAnswer: 29*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 5.06 times 0.6523\nAnswer: 3.300638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -6183*l**3 + 119073*l**2 + 26766*l.\nAnswer: -3*l*(9*l + 2)*(229*l - 4461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 3*x - 0*y - 13, 0 = 5*x + 3*y - 17. Let o = 16 + x. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -5, 2, -13\/33, -0.08.\nAnswer: -5, -3, -13\/33, -0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 9.997055ml in litres?\nAnswer: 0.009997055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:41 AM and 8:43 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-35)\/(-203)*(-26)\/(-5). Let i = a + -2401\/58. Find the common denominator of i and 19\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the first derivative of -f**5 + 20*f**4 + 85*f**3 - 675*f**2 - 9241. Factor w(l).\nAnswer: -5*l*(l - 18)*(l - 3)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 3*i**3 + i + 2. What is a(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dyrereyeedydydyrry. Give prob of picking 2 r and 1 e.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes after 6:06 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11 + 4. Let l = 19 - m. Solve 8 = b - 3*w, 0*b + b - l = 2*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10 + 14. Let s = 4 - m. Put -2, s, 3\/4 in decreasing order.\nAnswer: 3\/4, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 14\/4 - (-27)\/(-18). List the prime factors of (-1 + 0 - -52) + l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*n + 2*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5)\/10*97*4. Suppose -p = 3*p + 148. Let r = p - v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -28 - -27. Let k be (-7 + 2)\/((1 + 0)*f). Let n be k\/2*5*24\/100. Solve -4 = -n*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/10 of a meter in centimeters?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 107783 (base 16) to base 7\nAnswer: 12113162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 79 - 235\/3. Suppose -2*j + 10 = -4*x, -2*j - 3*j + 7 = -4*x. Which is the third biggest value? (a) n (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c + 1. Let v be 147\/(-51) - (-10)\/(-85). Let a(z) = 2*z**2 - 4*z - 5. Determine v*y(t) - a(t).\nAnswer: -2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (2 - 0) + (-1 - 6) + 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-45828)\/1809 - 16\/6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -79*h**3*j + 6*h**3 + h**2 + 19708*j - 142167 with respect to j.\nAnswer: -79*h**3 + 19708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**3 - 251*p**2 + 933*p - 22178. Calculate u(-255).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, 89, 34\/29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/26 + ((-1896)\/(-39))\/4. Suppose 6*l = p*l - 7098. What are the prime factors of l?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 28*g**2 - 8*g - 15. What are the prime factors of k(-3)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4\/1527 - -6080\/10689. Sort -20.3, 1, -0.3, f in decreasing order.\nAnswer: 1, f, -0.3, -20.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 + -6. Let y be -2*(30\/75)\/((-3)\/(-15)). Which is greater: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 34.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a - 25 = 0, -4*b - 2*a = -2*b - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 9, j: 5}. What is prob of picking 2 e and 1 j?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ac (base 13) to base 11\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.5 and -2074539983?\nAnswer: 2074539983.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -2*n**2 + 27*n - 25. Let w be p(10). Let s be (-16)\/(-3) + (w\/27 - 2). Which is the biggest value? (a) 1\/5 (b) s (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34994873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/(-390)*13*(56\/(-60))\/(-7).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 6749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13\/(-26) - (-52)\/56.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -26101 take away -1.486?\nAnswer: -26099.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49780 is divided by 125?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 85 or 2\/52195?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f\/((f*f*(f\/(f*f\/(f**(-4\/5)*f)*f*f))\/f)\/f)))\/f*f**(-3\/5)*(f**(-4)*f*f)\/(f*f**(-5\/3)) assuming f is positive.\nAnswer: f**(-86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 6115 and 1.\nAnswer: 6115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2494 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 18.37 and 988.\nAnswer: 18149.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 68 + (-2)\/14 + (-2)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**2 + 5*u - 1. Let w(s) = -8*s**2 + 6*s + 5. Let i(a) = w(a) - 2*x(a). Let m(o) = o - 1. Give -i(f) - 5*m(f).\nAnswer: 6*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes before 9:44 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 20 + -15. Suppose -2*p + 5*l + 25 = p, -l - 27 = -5*p. Determine r, given that 4*r**2 - k*r + 8*r - 12 + p*r = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 708 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 20*c - 6. Let r(z) = -19*z + 7. Let i(k) = -36*k + 13. Let d(q) = -3*i(q) + 5*r(q). Determine -8*d(v) + 5*o(v).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 4464976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -3 (c) 1\/16 (d) 5 (e) -38\/91 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1141*c**3 + 3*c**2 - 4*c + 52 wrt c.\nAnswer: 6846*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 129312626*j**4 + 112408326*j wrt j?\nAnswer: 1551751512*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 17 - -1429b4?\nAnswer: 1429cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 12 - (49 + 22 + (-8 - (4 - 0)) - -14)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o - 2 + 2)*(-68 + 17 - 101).\nAnswer: -304*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 0.4514653 days?\nAnswer: 39006.60192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5018 - 142914020?\nAnswer: -142914019.4982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -299760 divided by -49960\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -4278, -8961, -14008, -19419?\n\"Answer: -182*o**2 - 4137*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -3*i**5 - 163515*i**4 - 2228831976*i**3 - 20050168368*i**2 - 53459268096*i - 35637768192 = 0.\nAnswer: -27248, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 85, 144, 273, 472, 741, 1080?\n\"Answer: 35*x**2 - 46*x + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -17 = -2*i + 5*i + i + 5*o, 4*i - 4*o - 28 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (2 - (1 - 10) - 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*i**3 + 2*i**3 - 5*i**4 + (4*i**2 - 4*i**2 + 2*i**2)*(i**2 + 0 + 0).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -5 - 2*w**2 + 4*w - 3*w + 4*w. Let f = 8 + -18. Let v = f - -6. Let q(r) = 2*r**2 - 4*r + 4. What is v*q(y) - 3*p(y)?\nAnswer: -2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-78705)\/5724*(-24)\/10\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: What comes next: 637, 635, 633, 631, 629, 627?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.5 (b) -193977 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 64 by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -18*n - 2*n + 40 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*u**2 - 4*u**2 - 82284 + 82374.\nAnswer: -8*u**2 + 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 78746 + 20746 = 0. What is f rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-25 - -30 - -14) + 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) -1\/27 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10)\/(-4 + 2) + 0. Find the third derivative of -f**5 + m*f**5 - f**2 - 2*f**5 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v**2 - 4*v + 7. Let f be p(3). Suppose -2*w + 54 = -d, 86 = 3*w + 5*d - f*d. Let z be (119\/w - 4) + (-17)\/100. Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -bcc892 (base 13) to base 2\nAnswer: -10000111111100110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 321 and 428.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1198565 divided by -7.\nAnswer: 1198565\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.028 less than 3280172?\nAnswer: 3280172.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*r**4 + 1 - 8*r**3 + 3*r**4 + 9*r**3 + 10*r**2 to the form k*r**4 + m + d*r**2 + o*r**3 + q*r and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2.8 (b) -0.09 (c) -115 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the first derivative of -7*c**5 + 16*c + 18. Let f(p) = -17*p**4 + 8. Let u(k) = 9*f(k) - 4*q(k). Differentiate u(x) with respect to x.\nAnswer: -52*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 + -130034?\nAnswer: -130032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 21896, 21821, 21696, 21515, 21272, 20961, 20576?\nAnswer: 20111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -7 + 8 + -3 + 3 + -29?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 534599 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 11*a**2 + 5*a - 7. Let f be w(3). Suppose 5*j = -f - 68. Let u = j - -106\/3. Is u greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 4, x: 6}. Give prob of picking 3 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Do -3534 and -307472\/87 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, 0.2, -28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0\/(-8)*3\/(-6). Solve h*q + 2 = 2*q + 5*b, q = 5*b + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2916 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s*s\/((s*s\/(s\/(s\/(s\/((s*s**(11\/6)*s*s)\/s)))*s))\/s)*s)\/s**10 assuming s is positive.\nAnswer: s**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 + 12*x + 48. Calculate r(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 8921405441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = t + 13, 4*a + 12 - 22 = 5*t. Solve t*f + 40 = 44 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 355 is divided by 61.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5 - -10. Let d be 0 + (6 - (-6 + -3)). Suppose 10 = 3*r + 5*g, d + o = -3*r + g. Sort -6, r, 3 in descending order.\nAnswer: 3, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 847.9527 meters to nanometers.\nAnswer: 847952700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -32 less than or equal to -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*z - 2*z + 286. Suppose 0 = -2*q + 5*w + 83, -2*q + 73 = -0*q + 5*w. What is the remainder when q is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -12*o - 71. Let m(u) = 228*u. Determine y(m(g)).\nAnswer: -2736*g - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 6, j: 2, z: 1, k: 3, t: 1, x: 2}. What is prob of sequence kzj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.5, 0, -75.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is ea + 0?\nAnswer: ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 199168703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.4 and -0.0292.\nAnswer: 0.01168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2, -16, -64, -164, -334, -592, -956?\nAnswer: -1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 30552 - 30500. Let b(u) be the first derivative of -1\/2*u**2 - 35\/3*u**3 + p - 9*u. What is the second derivative of b(m) wrt m?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 217 divide 1531763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 140 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -32*f - 1565. Calculate s(-47).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1538228?\nAnswer: 2, 17, 22621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t*t**(-1))\/(t*t*t**(-21)*t*t))\/(t*t**1)**19)**(9\/7) assuming t is positive.\nAnswer: t**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqk when three letters picked without replacement from {k: 5, q: 11}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -600*n**3 - 719*n**3 - 174*n**3 - 28*n**3.\nAnswer: -1521*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-3960)\/(-54))\/44 - (-2 + (-4)\/(-6)). Let b = 40 + -40.043. What is the biggest value in b, r, -3, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -322204344440 - 3?\nAnswer: -322204344443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + s + 758 = 0, 8*y + 2*s - 612 = 4*y. What is the highest common divisor of 25840 and y?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -104, 40, -8, 5, -3.\nAnswer: -104, -8, -3, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f**2 + 14*f - 9. List the prime factors of i(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence obkb when four letters picked without replacement from bboooojmoojbko.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -802 + 4813\/6. Which is the third smallest value? (a) o (b) -3\/58 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7045*j**2*o - 11*j**2 + 25*j*o - 3019*j - 2*o wrt j?\nAnswer: 14090*o - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 2*v = -2, -n - 4*v = -7*v + 11. Calculate the greatest common divisor of n and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -11\/4 and 43\/25070.\nAnswer: 50140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -563, -4736, -16089, -38210, -74687?\nAnswer: -129108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 31821*f - 190903. What is c(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 96*z - 11872 = 265*z - 180*z - 101*z for z.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -64 - -66. Solve c = -5*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 11) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 120294485141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 33963, -11 in descending order.\nAnswer: 33963, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 2*l**3 + 20*l**2 + 12*l - 2. What is x(-8)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 14343340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 3*a**3 + 4*a**2 + a - 2. Let i be h(-2). Let p = -57221 + 57223. What is the closest to 0.1 in p, -3\/5, i?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18448, 37097, 55964, 75049, 94352?\nAnswer: 113873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1.6 + -1.7. Let l = 247869.3000027 + -247869.2. Let g = l + s. What is g rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5796 = -1095*f + 451*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*f - 4*f + 0*f)*(3*f**3 + 0*f**2 + 0*f**2 + (-4*f**2 - 12*f + 12*f)*(f - f + 2*f) + 0*f**3 - 2*f**3 - 3*f**3).\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -11456064 - -4?\nAnswer: -11456060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/8 and 27\/2732?\nAnswer: 5464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 - 2 = -6*x. Suppose x*v - 3*v = 25. Let z = 25 + -20. What is the remainder when v is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - -6) + -11 + 8 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 231, -4, -8 in decreasing order.\nAnswer: 231, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, -3, -85 in decreasing order.\nAnswer: 12, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 3*c - 35, 13 = -5*c + 2*h + 46. Let k(l) be the first derivative of -1\/3*l**3 + 0*l**2 - 2 - 1\/5*l**c + 0*l - 1\/2*l**4. Factor k(u).\nAnswer: -u**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35 + 65 = 5*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be -6*(14\/12 + 18\/(-12)). Let l(y) = -11*y**2 + 17*y + 4. Give l(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*r + 41 = 2*r + 129, 36 = 4*y - 5*r - 19 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -17*h**3 - 50*h**2 + 6*h + 23. What is t(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4\/1260515 or 1?\nAnswer: -4\/1260515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f + 20. Determine p(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3 - -18800884?\nAnswer: 18800881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/5, 81\/7, -15\/8, 0, -0.4.\nAnswer: -15\/8, -0.4, 0, 4\/5, 81\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 94*l**2 - 38*l + 38*l in the form r*l + b*l**2 + m and give b.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the second derivative of 93*i**7\/14 - i**5\/20 - i**4\/12 + 832*i**3\/3 + i - 695. What is the second derivative of h(p) wrt p?\nAnswer: 5580*p**3 - 6*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 620496?\nAnswer: 2, 3, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 4*(sqrt(304) + 1).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*o - 2*o - 5*o - o + 4*o + 17 + 10.\nAnswer: -2*o + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11 - (8 - 12))\/1 + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1 - 2*(-17)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*1*(1 + sqrt(1377))**2 + sqrt(204)\/sqrt(192) + ((sqrt(17) + sqrt(68)\/sqrt(4))*-4)**2.\nAnswer: 73*sqrt(17)\/4 + 2466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.035, 0.5, 5, 2, 1?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 32380, 32453, 32568, 32719, 32900, 33105, 33328?\n\"Answer: -q**3 + 27*q**2 - q + 32355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**2 - 7*o + 14. Let n = 2511 + -2520. What is j(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**3 + 3*o**2 - 8*o - 5. Let q(t) = -16*t + 60. Let n be q(4). Let b be 10\/n*(-72)\/(-36). What is g(b)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -398 (base 13) to base 5\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-66 + 28 + 30 + (3 - 5 + 3)*(0 + 1 - 3))*(-1 - 3 + 7)*(v + 0*v - 3*v)*(5*v**2 + 2*v**2 - 2*v**2) as z*v + i*v**2 + p + u*v**3 and give u.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (13*49\/(-8281))\/(3\/24)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - o + 6*o - 5 = 0, 0 = y - 3*o - 5. Suppose y*j - 2*l - 30 = 0, -2*l = -4*j + 11 + 13. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 44.81 - 44.81. Which is the nearest to d? (a) 7 (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 3308, 13250, 29826, 53042, 82904, 119418, 162590?\n\"Answer: x**3 + 3311*x**2 + 2*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*n**2 - 10*n**2 + 8*n**2 + (-4*n + 3*n - n)*(-1 + 1 + n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -940*j - 1. Let x(t) = -236*t - 1. What is f(x(q))?\nAnswer: 221840*q + 939","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 1516 divide 3952468291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sum -1.6 and 701001.\nAnswer: 700999.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -x - 5*g, 2*g + 0*g = x + 1. Let q be 124\/10*(-1 + -5 + x). Let b = -22 - q. What is the greatest common divisor of 100 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -16*w + 2. Let n be r(-2). Suppose -n + 32 = -q. Solve 4*v + 3*s = 7, -s = q*v - 3*v - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (12\/9)\/(2\/(-27)). Suppose -a + 2*j + 52 = 10, 5*a - 234 = 2*j. Let z = o + a. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {x: 2, v: 8, l: 5, a: 4}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -4\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 886497908 to the nearest integer?\nAnswer: 29774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjejjjjeje. What is prob of picking 2 j?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-4815)\/1284*-10*(-176)\/120?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2 + (-1 - -4) + 3 - (199 - 211)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 399286.3 days?\nAnswer: 57040.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-40)\/28 - 2 - 28\/49. Let q = 49\/3 - 17. Let f = -74.3 + 74. Sort u, f, q, 0.5.\nAnswer: u, q, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001998291 to six decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (21 - -6 - 11) + -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1610 + -1608. Solve q*b - 24 = 10*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 58 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 + 18 - (-23)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.01 in 0.1, -1\/3, 4\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.12? (a) 1\/3 (b) -5 (c) 1\/2 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24621.\nAnswer: 3, 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the first derivative of 0*m**2 + 6 + 7\/4*m**4 - m + 0*m**3. Differentiate b(n) with respect to n.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, 2, -0.5, -5, 0.058?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 6*f**3 + 2*f**2 + 32*f + 93. Give b(-3).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 88.4828nm in kilometers?\nAnswer: 0.0000000000884828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31587613 is divided by 263?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -460 - -491.4. Let d = i - 38.4. Which is the closest to -2\/3? (a) 2\/5 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t - 5. Let z be q(7). Suppose 2*x = x - z. Which is bigger: x or -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -11, -91, -297, -689, -1327, -2271, -3581?\n\"Answer: -10*m**3 - 3*m**2 - m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + sqrt(13)*-2)*6)**2 - (sqrt(130) + (-5*-2*sqrt(130) - sqrt(130)))\/sqrt(10).\nAnswer: -586*sqrt(13) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/4 - (-24 - 7490\/(-280)))*(-2)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -95, -20\/11, 2\/3?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1661*c + 82744 = 2632*c + 215749 + 283416 for c.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 115481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 63053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -5*y + 230. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = -52 - 8. Let u be (24\/(-20))\/((-1)\/q). What is the smallest common multiple of 14 and (12\/(-18))\/((-2)\/u)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 8463\/2*i**2 - 185\/2*i**3 + 8649\/2*i + 0 + 1\/2*i**4.\nAnswer: i*(i - 93)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000608156285 rounded to 7 dps?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 40\/2*20\/16 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.01 in 1\/13, 0.3, -0.04, 3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-44960)\/(-47208)*(-1)\/(-10).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 1 and 1212.\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n + 5. Let w be x(-5). Suppose -2*y = 8 - w. What is the closest to 2\/5 in y, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 220 and 141180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(168)\/(-6*sqrt(35)\/sqrt(5)))\/((-2*sqrt(16))\/sqrt(2) + sqrt(1152)*2).\nAnswer: -sqrt(3)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 161411975.\nAnswer: 5, 6456479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**3 + 2*t**2 + 6*t - 6. Let v be o(5). Let q = 78 + v. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9*(-10)\/(-15) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 277308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 25950 and 1031400?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -2*n - t + 44, -119 = -4*n - t. Is 1003 + n - 6\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 33344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 + 12. Let n(r) be the second derivative of r**7\/840 - r**6\/60 + r**5\/40 - r**4\/24 + r**3 + 4*r. Let m(x) be the second derivative of n(x). Give m(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4930263 + 10530263. What is g rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f**2 - 17889*f + 376105. Determine r(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:02 AM and 1:13 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 70361.17 micrometers to meters.\nAnswer: 0.07036117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1469 + 735 - 40*f + 734.\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(320) - (sqrt(320) - (sqrt(320) + 1 + sqrt(320))) - sqrt(320)) + 3 + (sqrt(320) + -2 + sqrt(320) + -3 + sqrt(320))*1)**2 + 3.\nAnswer: -64*sqrt(5) + 5124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 8057, 16115, 24173?\n\"Answer: 8058*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b - 3*b - 105 - 8*b. Let u be x(-9). Solve 5*r - 12 = -2*d, u*d - 8 + 0 = -5*r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3121, -6252, -9385, -12520, -15657?\nAnswer: -18796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2)*(13*h - 2*h - 12 + 20 + 5 + 7*h).\nAnswer: -36*h - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 763 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 18 - 9. Is a greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(255)\/sqrt(45))\/sqrt(48))**2*5.\nAnswer: 85\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(675) - sqrt(675))\/(5*sqrt(9)*4).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1049 - -2416. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -227.3, 0.1, 1\/2, 4\/9, 1839?\nAnswer: 1839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/(-14) + 0 - 4920\/7175. Let v = 11.8 + -11. Let a = v + -0.6. Sort -0.1, a, y in ascending order.\nAnswer: y, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -64 - -73. Sort -0.4, v, -4, 4 in ascending order.\nAnswer: -4, -0.4, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 86 + -73. Let b = y - -36. Suppose -z + 142 = -b. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 987174001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -68, -2, 3, -105 in descending order.\nAnswer: 3, -2, -68, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = 2*o - 310, 0*o + 2*o = -5*q + 322. What are the prime factors of o?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -3. Suppose 0 = -7*p + 11*p - 20. Suppose p*g + 2*m - 3 = 0, -3*g = -5*m - 12 + 4. Which is the nearest to q? (a) -2\/9 (b) g (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8*-1098.4.\nAnswer: -8787.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -68 divided by -538654\nAnswer: 34\/269327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -38, 1, -2\/15, -35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 3*g = -107, 5*v + 0*v - 2*g = 273. List the prime factors of v.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 2*g**2 - 2871*g + 172918. Give o(63).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -269*h - 906*h**2 - 618*h**2 + 746*h**2 - 887*h**2.\nAnswer: -1665*h**2 - 269*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 467364 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1576288 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2512.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 30 greater than or equal to -1336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the first derivative of -2*g**6\/3 - 4*g**5 + 2*g**4 + 112*g**3\/3 + 16*g**2 - 128*g - 295. Let p(l) = 0. Calculate l.\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 22*f**3 - 2*f**2 + 2*f + 40. Let i(y) = y**3 - 2. Let s(u) = g(u) + 6*i(u). What is the second derivative of s(t) wrt t?\nAnswer: 168*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -249946 + -b?\nAnswer: -249951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -475069, -950134, -1425195, -1900252?\nAnswer: -2375305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = -z - 5*v + 505, -z + 124 = 2*v. Let s = z + 225. Suppose 0*t - 5*t + s = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(72) - -3*-1*sqrt(2).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -8748*p = -8750*p - 12, 4 = 8*s - 2*p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000653 rounded to 5 dps?\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4, 2, -0.05, -6.93?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 1840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -34 (c) -2 (d) 4 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 12, -2, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 50 and 377950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 + 6. Let l(h) = -31*h + 66. Let g be 5*((-90)\/25)\/(-9). Let q be l(g). Solve z = 3*k - u - 5, -q*u - 6 = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -46 divided by 1660947.\nAnswer: -46\/1660947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes before 9:39 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-60)\/(-16) + -3)\/((-3)\/(-12)). What are the prime factors of (a\/9 + 1)\/(12\/2502)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 32\/12*3\/2. Suppose s*p = -0 + 12. Put p, -1\/4, 0.4 in descending order.\nAnswer: p, 0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 139706 (b) 6\/25 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 45 + 37582\/(-855) - (-6)\/(-10)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/180 and 173\/14777640.\nAnswer: 14777640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 817, 1620, 2423, 3226?\nAnswer: 4029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y**5\/9 - 618746*y**4\/9 - 15953076478*y**3\/3 - 526360571918*y**2\/9 + 1244163011572*y\/9 = 0. What is y?\nAnswer: -154681, -13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19573 - 19573 + 606661*v - 606655*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -3*d**2 - 2*d + 5. Let k(h) = -h**2 - h - 1. Let b(m) = -4*k(m) + w(m). Let s be b(-6). What is the greatest common divisor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 83*i - 91*i + 520. What is the greatest common factor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the second derivative of x**9\/15120 + x**7\/630 - x**4\/3 + 12*x. Let y(b) be the third derivative of z(b). Find the third derivative of y(s) wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -6187054 and -120.9?\nAnswer: 6186933.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**2 - 12617625*c + 176645770.\nAnswer: 5*(c - 2523511)*(c - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3413874?\nAnswer: 2, 3, 568979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 33.6 - 34. What is the closest to 0.1 in -4, 0.04, d?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/25)\/((3 + 42)\/(-135)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {f: 3, w: 4, n: 1, s: 4, z: 7}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-7 - -1) + -42 + 48\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -19? (a) 3 (b) 195 (c) -20\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-1)\/((-185)\/(-873) - 22\/99) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*q**2\/3 + 5360*q\/3 + 345072.\nAnswer: 4*(q + 234)*(q + 1106)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6238, 12545, 18856, 25171, 31490, 37813, 44140?\nAnswer: 50471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1075310 + 0.1433.\nAnswer: 1075310.1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(-18)*1152\/4800\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.008 + -78.008. Let k = 78.5 + m. What is the biggest value in -0.1, 30\/23, k?\nAnswer: 30\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 456 and 17688.\nAnswer: 336072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-3 + 18 - 8)*(-4 + 7 + 2) + (-5 + 2 + 2)*(-5 - 3 + 6) - 3 + 2 - 1)*(-z**3 - 13*z**3 - z**3) to o + c*z**3 + j*z + t*z**2 and give c.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3267, -3266, -3265, -3264, -3263?\nAnswer: -3262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 133 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k - 2*l - 56, k + 2*l = -0*k + 19. Let a(b) = -b**2 - 9*b - 8. Calculate the smallest common multiple of k and a(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 695917, 1391034, 2086137, 2781220, 3476277, 4171302, 4866289, 5561232?\n\"Answer: -c**3 - c**2 + 695127*c + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-11 + 8 - -9) + (-4 - 0) + 13\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 20 + -5. Suppose -4*u + 9*u - g = 0. Suppose 0 = -u*j + j + 3*q + 23, j - 22 = 5*q. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -31 times -66.6\nAnswer: 2064.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 4*y**5\/3 - 26*y**4\/3 + 46*y**3\/3 - 22*y**2\/3 - 10*y\/3 + 8\/3 = 0.\nAnswer: -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:02 PM and 3:11 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 42 = 5*s, 42*s - 16 = 4*a + 41*s. Is -92\/81 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 6*b - 180 = 2*b, -4*m + b = -369. Suppose 92 = -4*z - m. Let q = z - -58. What is the greatest common divisor of 36 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-28)\/(-2 + 9))\/(-2*1). Solve 5*v + a + 3 + 3 = 0, y*a + 2 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) -63626 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (q - 4*q + 4*q)*(2480 - 5*q - 2480 + 5*q**3).\nAnswer: 5*q**4 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -2*q**2 - 20*q - 66. Let m be v(-6). What is the second biggest value in m, -4, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 73489 is divided by 1289?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is d in -86\/5*d**2 - 64\/5 + 156\/5*d - 6\/5*d**3 = 0?\nAnswer: -16, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/78 and 5\/1218.\nAnswer: 15834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the third derivative of -g**6\/120 - 7*g**5\/60 - 5*g**4\/24 + 4*g**3\/3 - 1284*g**2. Calculate a(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 6529522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -255, -250, -231, -192, -127, -30?\n\"Answer: u**3 + u**2 - 5*u - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 243 = 4*y + 4*m, 5*y + m - 288 = 0. Suppose -4*j + 157 = y. Solve -2*k - 3*k = -j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -y**3 + 13*y**2 - 167*y + 7209 wrt y?\nAnswer: -3*y**2 + 26*y - 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -82 + 84. Which is the nearest to -25? (a) 3\/2 (b) d (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2*f + 9. Let k(l) = -30*l - 117. What is 27*a(x) + 2*k(x)?\nAnswer: -6*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put together -8.61 and -0.023135077182.\nAnswer: -8.633135077182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -7ae - 13c3b?\nAnswer: -144ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s**5\/11 + 2*s**4 - 86*s**3\/11 + 146*s**2\/11 - 112*s\/11 + 32\/11 = 0. What is s?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 - 4)*(-2 + 2 - 3*w) + (6*w - w - 2*w)*(3 + 3 - 4).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/4 - 0 - 42\/60. Let h = -41 + 105. Let x = h + -68. Which is the third biggest value? (a) -0.3 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -51*i*m**5 + 2*i*m**2 - 26*i - 10*m wrt m?\nAnswer: -1020*i*m**3 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -12*d**3 - 406*d**2*g**2 - 18*d**2*g - 4*d**2 - 6972*d*g**2 - 28181*d*g wrt d?\nAnswer: -72*d - 812*g**2 - 36*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 0*g + 0*g + 5*g**2 - 3. Let o(j) = -18*j**2 + 3*j + 3. Let b(a) = -39*a**2 + 7*a + 5. Let y(u) = -3*b(u) + 7*o(u). Give 5*t(s) + 3*y(s).\nAnswer: -2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*r + 3 = 17*r. Solve -7 = 3*m - 5*s, -2*s - 9 = -r*m - 5*s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*m + 2*g - 13 - 13, -4*m + 5*g - 41 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -552 divided by 69?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 964 = 5*a - 11. Suppose 0 = -f + 5*y + 39, 0*f = 5*f + y - a. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2422 and 2437946?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 4*k**3 + k**2 + 8*k + 1. Let j(x) = -3*x**3 + x**2 - 7*x - 2. Let q(t) = 2*f(t) + 3*j(t). Calculate q(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/371 and 13\/530?\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -3, -453 in ascending order.\nAnswer: -453, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from {n: 1, f: 1, t: 1, p: 7, v: 7}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2012023 + -2131?\nAnswer: 2003232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:28 AM and 11:05 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-2)\/7 - (-6377)\/(-1176) and -79\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -312*m + 2164. Let p be y(12). Round p to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 8211 and 8205 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 PM and 3:30 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -734*l + 2117 wrt l?\nAnswer: -734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 5286, 10341, 15396, 20451?\n\"Answer: 5055*r + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 44 = 5*k + 79, u = -4*k - 13. What is the biggest value in -403, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m = -4*f + 28, 24*f - 27*f + 4 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 124 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 224 and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -2 - (1 - 2) - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -533654 - -430923.35.\nAnswer: -102730.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/2 + -3 + 0. Let w(y) = -y + 4. What is the units digit of w(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pz when two letters picked without replacement from owznp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-3))**(-28)*f\/f**18*f**(-7)\/f assuming f is positive.\nAnswer: f**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -39146*x - 326 - 659*x**2 + 39146*x wrt x?\nAnswer: -1318*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -54 + 31. Let h = b - -22. What is the closest to 1 in -5, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -82378, -164684, -246988, -329290, -411590, -493888, -576184?\nAnswer: -658478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 89\/136395 and -11\/30.\nAnswer: 272790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence grrg when four letters picked without replacement from {r: 4, g: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - ((-22 - -62) + -24).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**2 + 3210282*y.\nAnswer: -3*y*(y - 1070094)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12505624.\nAnswer: 2, 281, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u + 209 - 179 = 6*b, 2*b + 2*b - u = -8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(55)\/(4*sqrt(20))*6.\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(3 + 1 + sqrt(2057) + 1 + -1*((sqrt(2057) + 2*sqrt(2057) - sqrt(2057)) + 3))**2.\nAnswer: -88*sqrt(17) + 4122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 7*m**2 + 1. Let o = 75 - 48. Let c = o + -26. Calculate a(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/(-5))\/((-28)\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 49.94275um?\nAnswer: 0.004994275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the second derivative of n**3\/6 + 5*n**2\/2 + 2*n. Let g be r(-5). Solve k - 1 = -g*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/7 - 72336\/(-56). What is the tens digit of 2\/(-14) + z\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15403933864\/2169 + -7101860. Let w = g + -2\/723. Let r = 3 - 0. What is the second biggest value in r, w, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 8.50646 times -0.4\nAnswer: -3.402584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c = -0*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 + 0. What is the lowest common multiple of 16 and ((-75)\/9 - -1)*k?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in i**3 - 3*i**3 - 22 - 4*i - 60 + 4.\nAnswer: -2*i**3 - 4*i - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3 + (8 - 4) + (-3)\/3. Let g be 3 + -2*(-9)\/r. Solve -2*n - 3*q = 9, g = n + 4*n - 2*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 105268733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 360100928.\nAnswer: 2, 11, 511507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -6*p - 25. Let g be b(-4). Is (g\/(-3))\/((-23)\/(-800331)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3774, 3784, 3808, 3852, 3922?\nAnswer: 4024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 55*y**2 - 4 + 4 - 52*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 - 758 = -4*j. Suppose 18*d - 2802 = 60. Suppose d = v - j. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -12*a - 85. Let l(n) = 5*n + 42. Calculate -3*j(g) - 7*l(g).\nAnswer: g - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -50225, -50223, -50221, -50219, -50217, -50215?\nAnswer: -50213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 8170 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11 + -30?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 521 + 0?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 378?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6089.\nAnswer: 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 143\/73998 and 47\/18.\nAnswer: 73998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(2*sqrt(76)*-1 - -4*(sqrt(76) - (sqrt(76)*-1 - sqrt(76)))))\/((sqrt(16) + sqrt(160)\/sqrt(40))*3).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -30 + 86. Let o be 759\/7 + (-8)\/c. Let p = o + -71. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 111 a factor of 8161358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -l + 2*l - 5*l + l - 3*l + 0*l + (2 - 2 + 1)*(-3*l + 3*l + 5*l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1db (base 16) to base 6\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 4435692128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 2, c: 4, p: 2}. What is prob of sequence pcup?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 13458 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: Calculate the remainder when 756701 is divided by 27005.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -53.3814 to the nearest integer.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let -5*l**4\/3 - 20*l**3\/3 + 5*l**2\/3 + 20*l\/3 = 0. Calculate l.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.4311 or 0.01?\nAnswer: 0.4311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the second derivative of i**6\/60 + i**5\/10 - i**4\/12 - i**3\/6 - 7*i**2\/2 - 5*i. Let f(p) be the first derivative of z(p). Is f(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -3 - (2 + (1 - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -5, -10, 6 in descending order.\nAnswer: 9, 6, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 40 and 529630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**3 - 48*l**2 + 54*l + 100.\nAnswer: -2*(l - 2)*(l + 1)*(l + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-34880)\/(-180) - (64\/36 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 14916384 and 32781?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.98 + 0.98. Let f = u + 3. Which is the closest to -2\/7? (a) 0.4 (b) -12 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 2\/65 (c) -0.04 (d) 0.92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c + 3*c - c)*(-c**4 - c**3 + c**3)*(-34 + 3 + 11 + (-6 + 0 + 4)*(-5 + 1 + 2)).\nAnswer: 64*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -6*h**2. Let z(d) = -912819*d + 6. What is z(s(k))?\nAnswer: 5476914*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.0379 - -0.03786458. What is k rounded to 6 dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1717970877 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: Let n(p) = -1 - 4 - p + 2 - 2*p. Let i be n(-2). Find the third derivative of g**3 + g**3 - i*g**3 + 3*g**3 - 3*g**2 wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -198405 smaller than -1021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -476 - -616. What is the highest common factor of x and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 782772 and 1862876?\nAnswer: 6068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2611220758?\nAnswer: 2, 37, 35286767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 7cad (base 14) to base 4.\nAnswer: 11103101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -128021 divided by -7.\nAnswer: 128021\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4477483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q + 1096 - 1076 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h**2 + 4*h - 3. Suppose 2*j - j + 4 = 0. Let w be a(j). Let n(o) = -o**3 - 4*o**2 - 3*o - 2. What is n(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -188 + 112. Suppose 2*c - 5*o - 336020 = -0*o, -4*c - 5*o + 671980 = 0. Let x be c*(q\/(-8) + -2). What is x rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1038 + 449. Let o = -365 - i. Let q = 226.46 - o. Round q to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 311577537 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.06 (b) 0.4 (c) -10 (d) 6 (e) -10.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 + -4445?\nAnswer: -4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 2*k**2 - 11*k + 13. Let a(p) = -p**2 + 5*p - 6. Let c(l) = 9*a(l) + 4*q(l). Calculate c(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -3, -2434, 4 in descending order.\nAnswer: 4, -3, -4, -2434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -66*w + 380*w + 11252 = 31348 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 46 and 560786?\nAnswer: 560786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**3 + 5*d**2 - 2*d + 8. Let a be w(0). Solve -5*o - x - 27 = 0, 2*o + a*x = 3*x - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 13 (b) -4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + sqrt(11))*-6 + sqrt(1331) + 0)**2.\nAnswer: 120*sqrt(11) + 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 41 - 36*c - 72 + 30 - 2*c**2. Let k be l(-18). Let i(o) = -2*o + 5. Let z(r) = -1. Let f(b) = k*i(b) - 4*z(b). Determine f(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 s when three letters picked without replacement from lslsiooisliiils?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 + 64125d7?\nAnswer: 64125d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/605 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8\/12*(-18)\/(-4). Let g(h) = -h**3 + 4*h**2 - 2*h + 3. What are the prime factors of g(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 - 439789371?\nAnswer: -439789371.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -20*z + 161*z - 306 + 24. Factor 1\/2*j + 0 + 2*j**z + 3\/2*j**3.\nAnswer: j*(j + 1)*(3*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 13*q**3 - q**2 - 2*q. Suppose 16*z + 66 = 18*z. Calculate the remainder when x(2) is divided by z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00291511405 to 4 decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 33*b - 38*b. Solve -5*w + w - 4 = b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 29*l**2 + 33*l - 17. Let s(h) = -10*h**2 - 11*h + 6. Let a(z) = 6*o(z) + 17*s(z). What is the second derivative of a(q) wrt q?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) be the first derivative of t**6\/660 - t**4\/132 - 3*t**2\/2 + 3. Let q(y) be the second derivative of w(y). Find o, given that q(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -3*u - 10. Let f be y(-8). Suppose 13 = q - f. Calculate the remainder when q is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(7\/2)*v\/v**(1\/7))\/(v**(3\/4)\/(v\/v**(-6\/11))) assuming v is positive.\nAnswer: v**(1587\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**3 + 6696106*g**2 + 5604726097350*g - 5604732793458.\nAnswer: 2*(g - 1)*(g + 1674027)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**3 + 24*z**2 + 13*z + 13. Let l be t(-18). Suppose 0 = -136*y + 135*y + l. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 363*u - 149204 = 319*u. What are the prime factors of u?\nAnswer: 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 + 5*r**2 + 4 - 2*r**3 + (-1 + 1 - r + (-3*r + 3*r + 2*r)*(-4 + 6 - 1))*(-r**2 + 2*r**2 + 0*r**2) to the form g*r + n*r**3 + s + v*r**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -1414441 (base 6) to base 7\nAnswer: -452332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 195158 equal to 15417442\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -251 - -260. Solve -4*f - 7 = l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*(i\/(i**(2\/5)\/i))\/i*i)\/i)**(2\/101)*(i*i**(-1\/3)*i)**(3\/13) assuming i is positive.\nAnswer: i**(2733\/6565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -6a11112 - -4?\nAnswer: -6a1110c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2688257 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 + 0)*(-a - 2*a + 2*a)*(34 - 40 - 167 + (-1 + 0 + 3)*(2 + 2 - 5) + 0 - 5 + 3 - 2 - 1 + 4)*(2 - 3 - 2).\nAnswer: -528*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x - 4*u + 55 - 3, 0 = 3*x - 3*u - 15. Let h be 33\/(-1 - (-3)\/(x\/6)). Let n = -22 + h. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*n**4 + 2808082*n**3 + 9*n**2 - 15277484*n?\nAnswer: 24*n**2 + 16848492*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 22138461102\/5417405 + -97\/154783. Let n = -4087 + c. Is n at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 2*x**2 + 482*x + 28285. Determine f(-101).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7, 45, 153, 367, 723, 1257, 2005?\nAnswer: 3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**17\/((d\/d**(1\/5))\/d)*d**5\/((d\/d**24)\/d) assuming d is positive.\nAnswer: d**(231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 10, r: 4}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(-7))**(4\/17)\/(l*l**(5\/4)*l**(-3\/2)*l))**(-10) assuming l is positive.\nAnswer: l**(1075\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 + 0)*((5*p - 3*p - p)*(4*p - 2*p - p) + 189*p + 0*p**2 - 196*p + 2*p**2)*(0*p + 4*p + 0*p).\nAnswer: 12*p**3 - 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 3*d = -30, -s - 2*s = -3*d - 51. What is the smallest common multiple of 24 and s?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47156?\nAnswer: 2, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f - 2. Let a(o) = -o + 7. Let m(u) = 1. Suppose 0 = 5*g - 25 - 25. Let l(j) = g*m(j) - 2*a(j). Determine -3*l(q) + 7*s(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 119, 112, 91, 50, -17, -116, -253?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 451250*r**2 + 345800*r + 66248.\nAnswer: 2*(475*r + 182)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the third derivative of -q**8\/560 - q**5\/40 - q**3\/2 + 3*q**2. Let v(b) be the first derivative of s(b). Find the second derivative of v(k) wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0 + 4 + ((-28)\/(-7) - 4). Suppose -l + 5 + 135 = 2*o, 569 = v*l - o. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(2\/5)\/z)**(1\/5)\/(z*z*z**0*z**(-2\/9)))\/((z*(z**1\/z)\/z*z)**22)**(-4\/3) assuming z is positive.\nAnswer: z**(6173\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*b**3*r - 2527*b**3 + 2*b**2*r + 2*b*r - 744*r - 1 wrt b.\nAnswer: 30*b*r - 15162*b + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 43906783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 0 - -22a?\nAnswer: 22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*l = 3*l + s + 8, l + 6 = -4*s. Let m(z) = z. Let d be m(3). Suppose -l*p = d*p - 30. Calculate the highest common factor of 42 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(16) + -2*sqrt(16)*2)\/(sqrt(96)\/sqrt(3)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 382*u**3 - u**2 + 16. Let i(n) = n**4 - n**3 + 1. Let f(c) = i(c) + x(c). What is the third derivative of f(w) wrt w?\nAnswer: 24*w + 2286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 575*x - 584*x + 84 + 24 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**2 + 24719*q - 24719*q. Let u(k) be the second derivative of -7*k**3\/6 + 2*k. What is u(v(p))?\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -35\/3718 and 127\/260.\nAnswer: 37180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vnnnnvnrnn. Give prob of picking 1 n and 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be (168\/16)\/(3\/8). Suppose 29*m + 1915 = 5*k + y*m, -5*k = -4*m - 1930. List the prime factors of k.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*f - 13*f - 5*f + 23*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 7580.826 years to months.\nAnswer: 90969.912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find m such that 4*m**5 + 16624*m**4 + 7874156*m**3 + 7857536*m**2 = 0.\nAnswer: -3611, -544, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 109 < 46342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 25*y**3 - 22*y**5 - 25*y**3 + (y**3 + 0*y**3 + 0*y**3)*(0*y**2 - 2*y**2 + 0*y**2).\nAnswer: -24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.15? (a) -1 (b) -2\/5 (c) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3 or 0.0852536?\nAnswer: 0.0852536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 2*o = 1016. Let n = o - 171. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -20430091, -20430082, -20430061, -20430022, -20429959, -20429866, -20429737, -20429566?\n\"Answer: r**3 + 2*r - 20430094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.3 - 0.18. Let c = 454.52 - 455. Let g = c - b. Sort 1, g, -0.7 in increasing order.\nAnswer: -0.7, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11 + 12. Suppose 8 = 2*o - 3*m + m, 23 = 5*o - 2*m. Let v be ((-4)\/(-10))\/(q\/o). Solve 4*j - 15 = -5*s, 0*s - 5*s - v*j = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (-1 + sqrt(9)\/sqrt(3))*1*-3 + ((sqrt(75)*2*-4)**2 - sqrt(75)) + 3.\nAnswer: -8*sqrt(3) + 4809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 2813*y - 4. Let r(k) = -202536*k + 290. Calculate -145*l(w) - 2*r(w).\nAnswer: -2813*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 - 114304?\nAnswer: -114312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 7 - 2*w**2 - 1 + 5*w**2 - 2*w - 2*w + w**3. Let g be x(-4). Sort g, 0, 1 in descending order.\nAnswer: g, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 166 from 68.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -15*m**3 + 63*m**2 - 12*m.\nAnswer: -3*m*(m - 4)*(5*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let 2*t**2 - 1039088*t + 134962983968 = 0. What is t?\nAnswer: 259772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2572943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*r + 1360 = -536. Let n = -2624\/11 - r. Find the common denominator of -63\/10 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 62*p - 5*p**2 - 62*p + 5*p**2 - 9579*p**3.\nAnswer: -9579*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -248832\/7 + 1728\/7*l - 3\/7*l**2 = 0.\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 50\/9, 0.109, -369?\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -74*i + 1. Let h be r(-1). Let j = -90177\/10 + 9025. Calculate the common denominator of j and 2 + (h\/66 - -1).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -115, -117, -119, -121, -123, -125?\n\"Answer: -2*i - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4801033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.3, -14\/11, -12.53?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -35, -67, -65, -11, 113, 325?\n\"Answer: 3*d**3 - d**2 - 50*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 646 (base 8) to base 10.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 96 divide 22848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -23, -45, -69, -95, -123?\n\"Answer: -y**2 - 19*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2496, -2\/3, -8\/145 in decreasing order.\nAnswer: -8\/145, -0.2496, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -5, -18, 4, 0 in increasing order.\nAnswer: -18, -5, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of (-14)\/105*579*134*5\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*f - 5*f + 0*f + 10467*f**2 - 20812*f**2 + 0 + 10338*f**2 + 0.\nAnswer: -7*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1072313600.\nAnswer: 2, 5, 131, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**2 - 19*x - 31. Let z(f) be the third derivative of f**5\/30 - 3*f**4\/4 - 5*f**3 - 7*f**2. Let r(a) = 6*w(a) - 5*z(a). Suppose r(u) = 0. What is u?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c - 0*c + 26. Suppose -4*w - 53 = -65, -s - 2*w + 11 = 0. Solve 3*a = s*d + 29, -c + 48 = -5*d + 5*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(((sqrt(605)*-1 + -1)*-2)**2 + -5 + 5) + -1.\nAnswer: 264*sqrt(5) + 7271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -248 - -250. What is the tens digit of (3 + 85\/(-50)*g)*-240?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.5921 + 3.4079. Which is the closest to -1? (a) -4 (b) z (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-356)\/(-6) - (-44*64\/29568)\/(2\/14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1291542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the second derivative of -5*i**7\/14 - 11*i**3\/3 + 21*i. What is the second derivative of z(m) wrt m?\nAnswer: -300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3874 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/4 (b) 10 (c) -36.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00011819 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 2595\/5914?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -188 + 230. Suppose -3*n = -u + 12, 4*u + 5*n - 14 + 0 = 0. Calculate the highest common divisor of u and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 34, -1\/6, 2\/11, -0.2, -5 in decreasing order.\nAnswer: 34, 2\/11, -1\/6, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 2*a - 23. Let d be r(10). Let l(j) = -4 - 61*j**2 + 70*j**2 - 5*j + j. What is the tens digit of l(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -131 - -33. Let t = 117 + q. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 - 2. Solve -2*w - 10 = o*i, 4 = 3*w - 3*i + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uufu when four letters picked without replacement from huguususf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1257 (base 10) to base 16\nAnswer: 4e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39*q**2 - 1688*q + 2714*q - 1026*q.\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3071 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -231, -874, -2253, -4620, -8227, -13326, -20169?\nAnswer: -29008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 96677 and 402492.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/8*8\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -430.1 (b) -0.4 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 4*o = 911 - 6403, 0 = -2*q - o + 3654. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o + 2*g - 6, g = -2*g + 9. Suppose -11 = -z - o. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -4*n + 1202, -2426 = -4*c - 34*n + 37*n. What is the greatest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -3*k + 808. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, m: 13, s: 1}. What is prob of picking 2 m?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -4\/7*w**3 + 8\/7*w**2 + 0 + 12\/7*w.\nAnswer: -4*w*(w - 3)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -47*l**2 + 14*l.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -246 - 45. Let r = h + 123. Let d = r - -253. Calculate the greatest common divisor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -365, -15, -2\/5 in descending order.\nAnswer: -2\/5, -15, -365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -165? (a) -0.6 (b) 2\/11 (c) 0.3 (d) -2 (e) -3 (f) 173.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 99*k - 243900 = 40*k + 41*k. List the prime factors of k.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/5, 4, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 22503592, 22503589, 22503580, 22503565, 22503544, 22503517, 22503484?\nAnswer: 22503445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 25212, 50056, 74900, 99744?\nAnswer: 124588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-14)\/(-4) - 7*30\/70)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**2 - 1. Let m(k) = k**2 + 12*k - 447. Let y be m(16). Let p(i) = 7*i**2 + 4. Determine y*p(w) + 4*t(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 6*g - 30. Let x be i(9). Let k = 8 + x. What is the smallest common multiple of 2 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -100122011220 (base 3) to base 11\nAnswer: -11a55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 57784, 115562, 173340, 231118, 288896, 346674?\nAnswer: 404452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13721 divided by 5339.\nAnswer: 13721\/5339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 53679584.7 minutes in weeks?\nAnswer: 5325.355625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -102431\nAnswer: 1\/102431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(16)*1*-1 + sqrt(16))\/sqrt(8))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 63227.36 decades in years?\nAnswer: 632273.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2271 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -290 - -1147\/4. Suppose 0 = -3*y - 15, 3*y - 1 = 4*o + 8*y. Suppose o*a = -5*a - 22. Which is greater: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4.297 - 0.263. Let s = 0.56 + n. Let y = 6 + s. Which is the third biggest value? (a) 5 (b) 1\/6 (c) y (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30\/30*5\/(35\/(-3)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 5*m + 95 = -2*v, 0 = -4*v - 3*m - 311. Let r = -3 - v. Calculate the greatest common factor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -19 - -29. Let s = -3 + v. Let b = 7 - s. Solve b = 3*h + 3*q + 9, -2*q + 3*q + 2 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 150594 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f + 3*v - 17, 2*f + 3*v = -23 + 57. Let x(j) = j - 48. Let t be x(f). Is t less than -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.0001 to 2 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jrjrrrrj. Give prob of sequence jj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**3\/j)\/(j*(j*j\/j**(-1\/32))\/j))**15)**(-2\/29) assuming j is positive.\nAnswer: j**(15\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -402241 or -6033631\/15?\nAnswer: -6033631\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:37 PM and 12:25 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 0.14, 42, 108545 in descending order.\nAnswer: 108545, 42, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 164*u**2 + 0*u + u**3 + 168*u**2 - 334*u**2 - 18 + 4*u + u to the form a*u + n*u**2 + i*u**3 + y and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*g + 17*g = -3*k + 148, -5*k + 250 = 5*g. Suppose 6*f = -k*f + 58. Sort f, -5, 5, 12 in ascending order.\nAnswer: -5, f, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/10 of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -141 - -136.59. What is k rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the first derivative of 3*s**8\/56 - s**4\/4 - 4*s - 6. Let g(j) be the first derivative of y(j). What is the third derivative of g(x) wrt x?\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2881.\nAnswer: 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 74\/3 and (-83611)\/(-25410) - (-2)\/(-20).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 26 + -26. Solve -10 = -5*z + x, u = z - 0*z - x - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 9*a - 113. Let m be r(13). Suppose m*x = -7*x + 66. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.001597 rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the second derivative of 1\/6*k**3 + 5*k + 1\/12*k**4 + 1\/2*k**2 + 1\/20*k**5 + 0. Calculate d(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 578 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1664*o**4 - 189*o**3 + 6*o**2 + 5945367.\nAnswer: -6656*o**3 - 567*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 672 - 467. Put -1\/5, -4\/5, u in increasing order.\nAnswer: -4\/5, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 r, and 1 l when three letters picked without replacement from izziilqrqzlrqllvzzrr?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 2151, 16066, 52955, 124020, 240463, 413486, 654291?\n\"Answer: 1867*b**3 + 285*b**2 - 9*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -2*y - 28, 0 = -821*y + 822*y - 4. Sort 3, -2\/5, j, -3 in decreasing order.\nAnswer: j, 3, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 136861897 rounded to the nearest 100000?\nAnswer: 136900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -79 + 46. Let i = -387829297.9999838 + 387829265. Let q = i - h. What is q rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1599, 6771, 15387, 27447, 42951, 61899?\nAnswer: 84291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3 + (-24)\/(-10) + (-153)\/(-5). What is the greatest common factor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 12 + 33?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 12*f - 28 = 8*f, -3*f + 19 = -j. What is the smallest value in -1, 2\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 64944 + 16*c**4 + 8*c**3 - 53*c**4 - 27*c**4 - 66274 wrt c.\nAnswer: -256*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**3 + 7*b**2 + 2*b - 5. Let r be h(-6). Solve -w + 3 = -2*v, 3*w = v - w + r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 5, d: 3, s: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 54a8072 - -6a?\nAnswer: 54a8131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 62275839 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -32.82 + 33. Put 4, t, 5 in decreasing order.\nAnswer: 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 5, -1, 70, -4, 1?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20139 - 496 = 13*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/8 and 6747\/19669 + 2\/17.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -20, 4, -1\/9 in descending order.\nAnswer: 4, -1\/9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the third derivative of u**6\/30 - 1128*u**5\/5 + 636192*u**4 - 956832768*u**3 + 2*u**2 + 23*u - 58. Factor f(y).\nAnswer: 4*(y - 1128)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 414 + -1240\/3. Which is smaller: -104\/9 or r?\nAnswer: -104\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2621 - 2615. Solve -5*p + 3*i + t = 0, i + 1 = 5*p - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 21009, 21001, 20991, 20979, 20965?\nAnswer: 20949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:58 PM and 3:30 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -43967*m**3 - 43927*m**3 + 87893*m**3 - 319.\nAnswer: -m**3 - 319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (232 + 69*b**2 - 232)*(0*b - b + 3*b).\nAnswer: 138*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b**2 + 8*b - 6. Suppose -4*g + 18 = -3*g. Suppose 4*k = k + g. What is the remainder when 15 is divided by v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -267, -289, -311, -333, -355, -377?\n\"Answer: -22*h - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 8, -218, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 619*o - 619*o - 926672*o**3.\nAnswer: -926672*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1181*a**3 + 585*a**3 + 592*a**3 + 2750 + 2762 - 5512.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 30989734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -32 = 5*u - 3*k, -8*u + 6*u + 5*k - 28 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -122, -209, -286, -353?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12393947 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*m + 364 - 2650. Let w(i) = -i**3 + 17*i**2 - 10*i - 27. Let y be w(18). Let c = y + m. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of -x**7\/2520 + x**6\/720 + x**4\/12 - 4*x. Let g(h) be the third derivative of b(h). Find the second derivative of g(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -15\/2, -2\/25, 10.\nAnswer: -15\/2, -0.2, -2\/25, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9195 and 8373580?\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find i such that 340\/3*i - 25*i**2 + 5\/3*i**3 - 160 = 0.\nAnswer: 3, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 - 7. Let i = -20.34 + 20. Let q = i + -0.16. Which is the third smallest value? (a) q (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 + 3\/(-6))*-8. Solve 2 - 6 = w*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1355820\/21 + 94\/658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 188, 375, 560, 743, 924, 1103, 1280?\n\"Answer: -u**2 + 190*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 + 3. Let u(a) be the first derivative of 0*a**6 + 0*a**2 - 1\/7*a**7 + 2\/3*a**3 + 0*a**5 - 2 + q*a**4 + 0*a. Find the third derivative of u(w) wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 17 - cb71?\nAnswer: -cb57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -24*p - 146 + 146. Solve p = 3*z + o + 1, 3*o + 5 - 2 = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1028*0.38941\nAnswer: 400.31348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 1006*y + 831*y + 646*y + 50247 = 622*y for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1789210\/430 + (-88)\/(-1892) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2957683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 1, a: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 41\/2 of a gram in milligrams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 47 - (-92 - -11 - -116)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 62 - 52. Suppose k = -v*k + 1188. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -89 + 96. Is 27 a factor of (-12)\/(381\/(-54) + f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 254741 is divided by 108?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 17021 = 6484. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d - 3. Let p be z(6). Suppose 21 = -p*r + 9. Let u = -7 + 11. Put u, r, 1 in descending order.\nAnswer: u, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -12695 by 5.\nAnswer: -2539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3*(-2)\/(-516)*(-1 - -33). Let k = p - 4593\/2752. What is the common denominator of k and -113\/28?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 2*x**2 - 2*x - 6*x - 1 - 3*x**2. Suppose 4 = 20*d + 84. What is the units digit of o(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, a: 1, d: 2, y: 2, h: 1}. Give prob of sequence hy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5882237 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*n**4 - 3637*n**3 + n**2 - 158*n + 533?\nAnswer: -48*n**2 - 21822*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 - 17. Let x be 2\/5 + (-1959)\/t. Let w = x - 82. Calculate the highest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1047 = 15*m - 1107 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 786 - 782. What is the second biggest value in 69\/11, j, 3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 2773896489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 + 6\/(-4)*2. Suppose 2*x - 5*o - 11 = -m*o, 0 = 3*o + 3. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + (sqrt(300) - (-3 + sqrt(300))))*-1 + -4*(-3*sqrt(300) - sqrt(300) - sqrt(300)) + -4 + -3 + -2)**2.\nAnswer: -4400*sqrt(3) + 120121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {o: 11, e: 9}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -164 + 343 + 1247 = -62*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l**3 + 26*l**2 - 4*l + 99. Give g(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 5, a: 3}. What is prob of sequence lal?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 244*p**2 + 148*p + 1. Let m(a) = -485*a**2 - 295*a - 2. Let d(s) = 6*m(s) + 13*u(s). What is the second derivative of d(g) wrt g?\nAnswer: 524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - 28548.7?\nAnswer: -28551.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/(2 + 14\/(-4)). Suppose 357 = 4*p - x, 0*p + a*x - 342 = -4*p. Suppose 5*i - i - p = 0. Calculate the lowest common multiple of 6 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -21 + 25. Let m = -93 - 6. Let c = -99.4 - m. What is the second smallest value in f, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 6, h: 4, n: 1, e: 2}. Give prob of sequence nee.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -51.073 - -51. Let y = 0.473 + q. Suppose 0 = k - 3 + 7. Which is the second smallest value? (a) y (b) k (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*u**2 + 4*u**2 + 2*u**4 - 4*u + 4*u**5 - 10*u**4.\nAnswer: 4*u*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-6))\/((8\/36)\/(-1))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -158376 by -5.\nAnswer: 158376\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 4052, 8242, 12430, 16616?\n\"Answer: -x**2 + 4193*x - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(((a\/(a*a*a**(2\/9))*a)\/a*a)\/a)*a)**40*a**(-7)\/(a*a**3))**(-2\/19) assuming a is positive.\nAnswer: a**(-2122\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -i**2 - 3*i - 3. Let y be t(-4). Let u be 1*-2 + (-8)\/y. Suppose z + 5*j + 10 = 0, -2*j - 4 = 43*z - 42*z. Does z = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - -4) + -13 - (3 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -9*n**3 + 13*n + 3*n - 12*n - n**2. Does 6 divide t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1112 + 2027. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15212594 is divided by 3042513.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 33807 - -14193. Round q to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 793086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 107\/1836030 and -61\/31824520?\nAnswer: 95473560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*w - 13*w - 25 = 3*z, -5*w + 5*z = -25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 114*j + 407 = 151*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 20 + -15. Solve -a*m - 20 = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 263 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 21888 or 21893?\nAnswer: 21888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1, 2, 9, 84, 3 in decreasing order.\nAnswer: 84, 9, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9698, 9697, 9696?\nAnswer: 9695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(1008) + 2*2*sqrt(7) + 2.\nAnswer: 2 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-110)\/22)\/((-2)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -71 - -65. Let d = 22 + t. Let r = d + -15.6. Which is the second biggest value? (a) r (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 2*m + 6 = -34, -4*m - 16 = -2*z. Suppose 5*a - z = a. Let x be (1 + a)*(-3)\/(-3). Solve -x*d - 20 = -5*y, -4*d + 2*y = 18 - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/5, -1\/8, 217, -3, 4\/113?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1950.31653 rounded to the nearest 10?\nAnswer: -1950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 5, e: 1, a: 5, w: 1, f: 1, k: 4}. What is prob of sequence ake?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 3*p - 0. Suppose -o + p = 2. What is the second derivative of 4*z - o*z + 2*z**2 + 0*z wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 49472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4029 + 4031. What is the nearest to q in 9, 5\/4, 1\/3, 4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2777*n + 960 = -2730*n + 5539*n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 4307434, 8614833, 12922232?\n\"Answer: 4307399*o + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -41391723 divided by 6?\nAnswer: -13797241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 568344, 568206, 568064, 567918, 567768, 567614?\n\"Answer: -2*i**2 - 132*i + 568478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 4 + 6 = 0. Suppose -h*f - 12 = -3*g, -3*f - 5*g + 20 = -2*f. Suppose f = 6*t - 4*t - 36. What is the greatest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2216635.\nAnswer: 5, 19, 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 39 + 168 = 0. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1912*b - 260 + 2398*b + 1841*b wrt b.\nAnswer: 2327","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (6\/8)\/(10*(-77)\/(-27720))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 62455504 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 1\/2 (c) -0.1 (d) -757 (e) -15\/44 (f) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 38 * -2740\nAnswer: -104120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 146 - 78 - 81 - ((1 - -44) + (18 - 16))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:54 AM and 5:40 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2362009544409303 - -2362009089426454.00000096. Let n = -454982742 - j. Let g = -107 + n. What is g rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 210368*w**2 - 1798291*w wrt w.\nAnswer: 420736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 173 divide 2921797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 4*l - 2. Let k(u) = u - 1. Let i(p) = 6*k(p) - 2*t(p). Let h(f) be the first derivative of -3*f**2 - 6*f - 198. Calculate -2*h(d) + 7*i(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 56.74887 years in centuries?\nAnswer: 0.5674887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -116861 by -137.\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3287 + 3287.5. What is the second smallest value in -10, q, -120?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2832668274.\nAnswer: 2, 3, 37, 12759767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + (-3 + 7 - -2) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -17970 = -918*k + 12991 - 667 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 3*d = 0. Let c = 2 + -1. Let g = c + -3. Is g greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**2 + 11*f + 47. Let l be d(-12). Suppose 7*s - l = 46. Solve -3*v + 9 = -0*i - 2*i, 5*v - s = 3*i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-254)\/(-2) + (-2888106)\/21852?\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -383*a**3 - 2 + 2 + 192*a**3 + 205*a**3.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + -6 + 4 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -12*n**5 + 172*n**4 - 29*n**2 - 10*n + 8. Let f(x) = 4*x**4 - 3*x + 3. Let d(i) = a(i) - 2*f(i). What is the third derivative of d(g) wrt g?\nAnswer: -720*g**2 + 3936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -2*g**3 + g**2 - 39398*g - 39399. What is y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 3*a + 34 + 57 = 0, -4*r = -2*a + 106. Suppose 5*d - 3 = 7. Let q = d - r. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4890758511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkkwkjkk. What is prob of sequence wk?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g and 1 a when three letters picked without replacement from {g: 10, v: 2, k: 5, a: 3}.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2117 - -1845. What are the prime factors of r?\nAnswer: 2, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 63031*a**4 + 3660*a**3 - 680253541*a**2 wrt a.\nAnswer: 1512744*a + 21960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1\/(-4)*(-125)\/((-4125)\/462)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.1067 - -1.4003. Let p = c - 1.5. Let h = p + -0.0069865. Round h to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-20)\/(-4) - (-318)\/(-74) and -27\/10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.050082 to four decimal places.\nAnswer: -0.0501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g\/((g\/(g*g**(2\/23)))\/g)*g*g**(-11))**(-27))**(19\/3))**(8\/9) assuming g is positive.\nAnswer: g**(27664\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply 314 and -1660.\nAnswer: -521240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 2*f**3 - f**2 - 2*f - 1. Let k be u(-1). What is the tens digit of k\/24 - (-9194)\/24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k**3 + 25*k**2 - 12*k - 33. Let f be p(25). Let b = -195 - f. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -17*p + 43. Let n be k(15). Let g be (-4)\/(-22) - 0 - n\/44. Solve 0 = -0*f + g*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -237*c + 2. Let j be a(-9). Suppose 5*w = j + 2850. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 7 and 830?\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -2*b**2 - b - 1. Let s be f(-1). Suppose -m - 259 = -j, 2*m = 5*j - 146 - 1161. Is 0 + j*(-2)\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8 and 6187976.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put together -4097 and -0.1.\nAnswer: -4097.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are 7\/995 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 242015 - -5?\nAnswer: 242023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*u = 32*u + 20. Which is the closest to u? (a) 0.07 (b) -1\/2 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yqq when three letters picked without replacement from qdddddoddddoqydoqdy?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 97174 - 31392. Suppose 0 = -3*o + t + 102218. What is o rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m + 15. Let i be 0 - (-1 - -4) - -17. Let s be p(i). Is -7\/8 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 54934*1182\nAnswer: 64931988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**2 + 26*l + 83. Let f be t(-22). Sort 0, 2, 1, f in ascending order.\nAnswer: f, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4, -1, -5712, 0.1, -2\/5011?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -71 + 123. Suppose -6*i - 49 = -301. Suppose 43*a - i*a - 19 = 0. What is the remainder when u is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -8434139147 and 0.06285?\nAnswer: 8434139147.06285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g\/g**(3\/10))\/g)\/g*g\/((((g\/g**(-13))\/g)\/g)\/g)*g)**1 assuming g is positive.\nAnswer: g**(-103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 2 = -10. Let f = -0.85 + 0.45. Which is the closest to z? (a) -2\/3 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 245 or 246?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 27 = -b. Differentiate 55 + b*a**4 + 12*a**4 - 43 wrt a.\nAnswer: 84*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3 + 0 - 8) + -3 - (50 - (185 - 64))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {o: 2, q: 1, d: 6, c: 3, n: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the first derivative of -i**4\/2 + 2*i**3\/3 - i**2\/2 - 16*i + 24. Let r be s(-5). Suppose -7*a + 807 = r. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbj when three letters picked without replacement from {b: 2, j: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2 (b) 0 (c) 155872 (d) 4 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1.879961mm in kilometers?\nAnswer: 0.000001879961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(99)\/sqrt(3)*-4)\/(6*sqrt(12)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1, 3, 7, 13, 21, 31, 43?\n\"Answer: s**2 - s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5910 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**2 - 2\/7*u + 2\/7*u**3 + u**4 + 0.\nAnswer: u*(u - 1)*(u + 1)*(7*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is b (base 15) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1974 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 1 = 2\/323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c**2 + 0 + 0)*(c + 4*c - c + (-c + c - c)*(-1 + 0 - 1) - c - 6*c - c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000769343964 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = x - 12. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20 divided by 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oxn when three letters picked without replacement from {w: 4, f: 2, x: 2, n: 3, o: 7}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 7072 = -435*i + 163*i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*f + 374 = -96 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from ilriiglylgirinlgr?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the first derivative of n**7\/840 - n**6\/180 + 2*n**3\/3 - 1. Let i(l) be the third derivative of t(l). Suppose -45 = -14*a - 17. Calculate i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 + 4. Suppose o*t - 4 = -4*t. Solve 0 = -4*s + 3*g + 4, s = 7*g - 4*g + t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 40591?\nAnswer: 40591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 377, 861, 1581, 2657, 4209, 6357, 9221?\n\"Answer: 20*w**3 - 2*w**2 + 350*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 13*x**2 + 10*x + 9. Let m be 15\/3 - (-3)\/(-6)*16. Is k(m) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8272\/(-374) - (-36 + 14).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 997.6386l to millilitres.\nAnswer: 997638.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y + 12. Let r be l(-7). Suppose k - 14 = -2*x, 0 = x - 0*x + r*k + 2. Let s(b) = -4*b + 5. Calculate the remainder when s(-8) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 314670127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40018841.\nAnswer: 271, 147671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6327 is divided by 71.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1285249 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*n**4 + n + 6*n + 16*n wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3 + (-2)\/(-6)*-3. Suppose -x = -v - 0. What is the third derivative of -12*h**2 + 0*h**v + 13*h**5 + 23*h**5 + 10*h**5 wrt h?\nAnswer: 2760*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -53 and 124614?\nAnswer: -6604542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 21002178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 6238.54 centuries to decades.\nAnswer: 62385.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d**3 - 3*d**2 - 3. Suppose 4*t + 0 - 14 = -y, 2*y = 5*t - 11. Let u be ((-2)\/y)\/(1\/6). Let o = 9 + u. Calculate w(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -43*a**4*q + 270728*a**4 - 1277851*a*q + 2*q + 3 wrt a?\nAnswer: -516*a**2*q + 3248736*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6130, 24207, 54344, 96547, 150822?\nAnswer: 217175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the second derivative of c**7\/140 - c**6\/40 - 2*c**3\/3 + 5*c. Let w(a) be the second derivative of z(a). What is the third derivative of w(i) wrt i?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -187 and -11.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 25326, 25459, 25568, 25641, 25666, 25631, 25524?\nAnswer: 25333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 34017676 a multiple of 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 101\/575976 and -67\/177366.\nAnswer: 165305112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*r + 12*r - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -348 + 848. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1262 (base 13) to base 7\nAnswer: 10424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the first derivative of -25*a**2\/2 - 37*a - 4. What is the first derivative of p(m) wrt m?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -189 = r + 288. Let i be 6\/(-10) + r\/(-45). Let g(y) = -y**3 + 10*y**2 + 3*y + 1. List the prime factors of g(i).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 3 j when four letters picked without replacement from {j: 3, r: 2, w: 10}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 230087 or 230088?\nAnswer: 230087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*x - 25*x - 10681. What is x rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 358864755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*x + x - x + (0 - 1 + 2)*(8*x - x + x) + 2*x - 4*x + 3*x + (4*x + 2*x - 2*x)*(-3 + 1 + 1).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 63\/872 and -101\/8.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = -47926 - -47929. Let z = 5 + -1. Sort 2, c, z, -40 in increasing order.\nAnswer: -40, 2, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -4*n - 3. Let u be 12\/8*(3 - 1). Calculate the remainder when (-1)\/(1 - u\/2) is divided by g(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i = -0*i - 133. Let b = i - -24. What is the units digit of 4872\/105*b\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 210 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1\/8, -1748, -12, 3?\nAnswer: -1748","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -162*z**3 + 6*z**2 - 31. Is u(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**3 - 6*g**2 + 3*g + 7. Let i be 156\/21 + (-12)\/(-21). Let u(k) = k - 15. Let d be u(i). What is the units digit of a(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3885, -7771, -11657?\n\"Answer: -3886*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**2\/(o\/o**17) assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -88290 divided by 45\nAnswer: -1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 44\/65 or 2?\nAnswer: 44\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4154 - 4139. Calculate the remainder when 15 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.0098 - -0.4098. Let w = -176\/365 + 6\/73. Sort w, -0.1, m, -0.3 in decreasing order.\nAnswer: m, -0.1, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/(-14) - 1040\/(-35). Let k = -28 + j. Solve k*h - 12 = 5*g, 6*h - 3*g - 8 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -11*r**3 + 263*r**2 + 10*r. Let c(k) = 16*k**3 - 394*k**2 - 14*k. Let v(a) = -5*c(a) - 7*x(a). Solve v(n) = 0 for n.\nAnswer: 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/(-2)*-2 + (-3 - -8). Suppose u - 265 = -i, -3*u + 3 = -j. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z + 188 = 12*t + 162, -2*z + 17 = -z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, i: 1, q: 1, y: 2, e: 5, p: 2}. Give prob of picking 1 y, 1 q, and 1 e.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.8053 - -1.1947. Let j = 68 + -71.9. Are q and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20 + (14 + 13 + -22 - -4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*m + m + 0*m)*((-m + 2*m + 0*m)*(0 + 1 - 2) - 56 + 75*m - 66*m - 12*m) to the form s*m**2 + f*m + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Do 96 and 90 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4 - 2324*x + 5 - 9 + 2128*x**2 + 1818*x**2 wrt x?\nAnswer: 7892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -29*m**3 - 5*m**2 - 4*m - 4. Let n(s) = 30*s**3 + 6*s**2 + 5*s + 5. Give 5*f(z) + 4*n(z).\nAnswer: -25*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -9*a. Let b(f) = 316681*f. Calculate i(b(m)).\nAnswer: -2850129*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 - -30. Suppose 0 = x - 5*w + 40 + l, 0 = -x - 4*w - 49. Let z = 52 + x. Round z to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1.63 - 49.87. What is a rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2\/205 + 1853\/820. Calculate the common denominator of 97\/212 and a.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 - -21. Suppose 6*g = 8*g - 210. What is the greatest common divisor of h and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 20978702800 to the nearest 1000000.\nAnswer: 20979000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = 4*h - 26916, -11*f - 8*h + 98721 = -3*h. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5146083 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -96420*y - 578523. Give v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the third derivative of u**4\/6 - 153*u**2 - u. Let f(i) = -14*i. Determine f(t(a)).\nAnswer: -56*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00020312227 rounded to 7 decimal places?\nAnswer: -0.0002031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 36561207803018762 - 36561202350505721.9999871. Let q = t + -5452513340. Let x = q + 300. What is x rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m + 1. Let q = 27 - -57. Let o be (-15)\/(-4) + 21\/q. Let r(g) be the first derivative of -5*g + 2. Give o*p(x) + r(x).\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - 5*u + 2345 = 0. Suppose 194 - u = -5*c. What is the greatest common divisor of c and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the third derivative of 59*v**6\/60 - 11*v**4\/24 + v**3\/6 - 29*v**2. Find the second derivative of n(q) wrt q.\nAnswer: 708*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*k - 14*k + 0*k - 5*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that 6*u**4\/5 - 6252*u**3\/5 - 545298*u**2\/5 - 107808*u = 0.\nAnswer: -80, -1, 0, 1123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(2\/3)*g**(2\/19)\/g*g*g)\/(g**(-1\/2))**18*(g**0)**8*(g**(-6\/7)\/g)\/(g*g*g*g**4*g*g*g) assuming g is positive.\nAnswer: g**(-433\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3 or 16691?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -1, -2\/17, 40, -810?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) -4 (d) 403 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 223212734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**4\/11 + 23948*s**3\/11 + 143736*s**2\/11 + 287504*s\/11 + 191680\/11.\nAnswer: -2*(s - 11980)*(s + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/920)\/(26\/(-260))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 2084538 divided by -789\nAnswer: -2642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from mlmoommmllolmo.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 64856 is divided by 705.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -197*h + 4193 + 8316 = 4038 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -37 - -41. Suppose a*q + 42 = 98. Let v be (-50)\/(-21) - (-4)\/q - 2. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -190*r - 221*r - 476*r + 14150 = -321*r for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12 + -3. Let a be (6 + o)*10\/3. Differentiate 54 - 10*q - 7*q - a wrt q.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:14 AM and 4:27 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -222, -239, -266, -303, -350, -407, -474?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**2 - 23*p - 3. Let f be x(0). Let b(r) = 3*r**3 + 5*r**2 + 6*r + 3. What is b(f)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 59 - 58.5. Put -1\/5, -2\/25, y, -0.5 in descending order.\nAnswer: y, -2\/25, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 22 - 12 - (-5 - -14 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/(-16))\/((516\/176)\/43).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 226 a factor of 37667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 79*z**2. Let j(q) = 0*q - 4*q + 9*q - 3*q. What is g(j(n))?\nAnswer: 316*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 12, -4*j + 0*z - 28 = -3*z. Let c = j + 5. Is c equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7916979643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 4, y: 1, v: 1, g: 2, m: 3}. Give prob of sequence aa.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -972.2 * -1689\nAnswer: 1642045.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14355 + -14353. What is the third biggest value in 4, 0.4, 2\/631, q, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -35\/54 - -46\/27. Calculate the common denominator of j and 77\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 93662\/5 - 18436. Which is bigger: 297 or a?\nAnswer: 297","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-4)\/40*4)\/((-2)\/(-5)). Let d = 172\/621 + -29663\/94392. Let g = 3\/38 + d. Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3209354 and 604.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -111 + 128. What is the third derivative of -l*u**2 + 22*u**3 + 30*u**3 + 6918*u - 6915*u wrt u?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3144 in -123, -0.01, -4?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*p = 28*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 2*a = -23, 5*x + 3 = 2*a + 30. Suppose 0 = -f - 0*f - 4*y + 9699980, 3*f - 29100025 = x*y. Round f to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2859*d + 575*d + 2785*d + 11*d.\nAnswer: 6230*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mg when two letters picked without replacement from {t: 2, x: 2, g: 4, m: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1211 - -10901\/9. Let o = -1 + 8. Let w = -5 + o. Is w less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (4 - 42\/12)*265822\/(-1). Is 6\/(-60) - y\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-27)\/144)\/(282\/752))\/((-4)\/(-368))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a - 1 + 1)*(3*a + 5*a - 4*a) - a**2 - 25826 + 13684 + 12882.\nAnswer: -9*a**2 + 740","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 97264538 divided by 161569?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*f**2\/4 - 271*f\/4 - 45\/2.\nAnswer: -(f + 90)*(3*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 2028.10419 hours to weeks.\nAnswer: 12.07204875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-3)\/2)\/(3\/(-4)). Suppose 2*s = j - 2*j + 14, -4 = -f*j + 2*s. List the prime factors of j\/(-4)*28\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 30 + 63. Is t at most as big as 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 70 - 69.8. Sort 40, 4, y in descending order.\nAnswer: 40, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*t + 7*t = -3*v - 967, -3*t = 4*v - 1476. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (38 - 38 - 18*v)*((-8 + 13 - 4)*(0 - 3 + 2) + 2 + 2 - 1).\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the first derivative of k**4\/4 - 2*k**3 - 7*k**2\/2 + 7*k - 1. Let r = -80 + 87. Calculate o(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 383 - 371. Suppose 0*i = -4*i + 108. Suppose -i - 203 = -5*u. What is the remainder when u is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 31 = 5*k, k - 187 = -5*m + m. Let x(v) = -4*v - 19. Let a be x(-13). Let q = m - a. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w - 4. Let s = 29 - 32. Give k(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 9\/6*(-24)\/(-9). Suppose x*t - 2*l - 24 = 0, -5*l = t + 3*t + 4. Suppose 179 = t*h - 121. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -25718755 and 3.\nAnswer: -77156265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the third derivative of -4151*u**6\/30 + u**5\/5 + 21*u**4\/4 + 5*u**3\/3 + 86*u**2. Let m be r(-11). Round m to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -908 + 879.42. Let t = -8.42 + p. Is -1\/3 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 21*v**5 + 3*v**4 - 19*v**3 - 8001*v**2.\nAnswer: 1260*v**2 + 72*v - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 18 - -7.261662628?\nAnswer: 25.261662628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find r such that -2*r**4\/3 + 9224*r**3\/3 - 212786*r**2 + 3752472*r - 3542760 = 0.\nAnswer: 1, 30, 39, 4542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*f - 12*f + 17*f + 17*f**3 + 17*f - 6*f.\nAnswer: 17*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*b**6 + 5*b**6 - 2*b**2 + 4 - 4 wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 198046741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 31.57673 to one dp.\nAnswer: 31.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m + 11*m = -522. Let t be (3\/m)\/(5\/(-45)). Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 17 + 11 = 0. What is the remainder when 35 is divided by (-10)\/p*(-72)\/(-20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 263866*g. Let c(r) = -82*r. Determine n(c(z)).\nAnswer: -21637012*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 19*m - 38. Give s(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 8, 1, 2, 147 in descending order.\nAnswer: 147, 8, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.16 * -31027.\nAnswer: 4964.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/(-14) + 9\/21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 232 (base 5) to base 3\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sas when three letters picked without replacement from arswyasyaaaaasssasas.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the third derivative of s**7\/2520 + s**6\/80 - 3*s**5\/40 - s**4\/24 + 11*s**3\/6 + 11*s**2. Let o(p) be the second derivative of n(p). Calculate o(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the first derivative of -2*r**5\/15 - r**4\/2 - 2*r**3\/9 + r**2 + 4*r\/3 - 172. Let d(c) = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 257 divide 28527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/(-8))\/(33\/(-24))*4576\/(-17888)?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f + 5*p - 2 = f, 3*f - 16 = -5*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 4 = 5*v, 2*i + 0 = 3*v + 12. Factor -g**2 - 2*g - 5 + 0*g + 2*g**3 + i + 3*g**2.\nAnswer: 2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -15 - 41. Let g = -54.97 - p. Let j = 1.03047 - g. Round j to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 - -5. Suppose -2 = -2*g + h, 4*h = -2*g + 4*g - 2. Suppose 2*i = -5*t + g, -j*i + 8 = 2*t + 2*t. Solve -1 = i*c - 3*m + 2, 19 = -3*c - m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9204041 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 17*d**4 - 49*d + 18*d + d**4 + 2*d**2 + 21*d wrt d.\nAnswer: 432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-765 + 4*n**2 + 763 + 7*n + 6*n)*(-4*n + 0*n + 5*n) as k*n + a*n**3 + m + b*n**2 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1591, -1488, -1385, -1282, -1179?\nAnswer: -1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2.1, -2\/29, 0?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 102729, 205456, 308183, 410910?\n\"Answer: 102727*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2584130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3 and 271137.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 739 + -688. Calculate the remainder when (-2)\/(-6) - 908\/(-3) is divided by g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 3\/7 (b) -2.51 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -105 - 20?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3701204465 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4402 + 4402 + 92*i**2)*(-2*i**2 + 0*i**2 + i**2 - i**2 - 2*i**2 + 2*i**2 + (i**2 + 2*i**2 - 5*i**2)*(2 + 5 - 5)).\nAnswer: -552*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 863 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n - 308 = -1491. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18638 - 18639.2621. Let c = -1.26 - n. Round c to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -2377831 divided by -6\nAnswer: 2377831\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 17 - 17.03. Which is the third biggest value? (a) 4 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that 5*f**2 + 22870*f + 26151845 = 0.\nAnswer: -2287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i = -4, -3277*a + 1645*a = -1637*a + 2*i + 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 9 - (-11 - 5)*-18*(26 - 1771\/69)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (30\/72)\/(70\/224). Let 2\/3*i**2 + 2\/3 + u*i = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = -2*a - 16, 5*a - 8*i - 30 = -3*i. Suppose o + a*p = -p + 17, -o - 5*p + 25 = 0. Suppose -38 = -o*h - 3. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + 7 + 4 - (1 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -13*k**2 - 4*k + 5. Let d(h) = -11*h**2 - 4*h + 4. Let s(z) = 6*d(z) - 5*m(z). Suppose -5*c - 2 = 18. Calculate s(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24\/108 + (-46)\/45?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -z - 5*k + 43 = 0, 74*z - 67*z + 4*k - 53 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1466716 is divided by 4203.\nAnswer: 4072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1254 and 726.\nAnswer: 13794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -300021003 + -1002?\nAnswer: -300022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -304*x - 23*x - 82*x.\nAnswer: -409*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of -4 - (-18)\/2 - -27 and 20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/m**(-16)*m**(1\/22)\/m)\/(m**(1\/9))**(-2\/19) assuming m is positive.\nAnswer: m**(60407\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 17658 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h - 5*h - 1460. What is h rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (4\/(20\/(-3)))\/(-18 - 759\/(-55))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 151733 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.065758005 rounded to three dps?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 12:11 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 390160427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**2 + 3*t + 42. What is y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 205.3224ns to hours.\nAnswer: 0.000000000057034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 64372 and 36784?\nAnswer: 257488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1183379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 176898013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17156 - 16682. Calculate the least common multiple of 46 and p.\nAnswer: 10902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*j + 4*y - 25, -113*y + 5 = -j - 119*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1331 times -0.442?\nAnswer: -588.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 + 16*w**2 - 128*w + 92. Let h be z(-22). Sort h, 5, -3, -0.1.\nAnswer: -3, -0.1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = 4*f + 8. What is the nearest to f in 4, -1, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5 - 3. Let r = 119 + -89. Suppose -g + p = -c*g + 3, 3*g - 4*p = r. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 75756 is divided by 37829.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 5961.4512 to 0 decimal places.\nAnswer: 5961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 - 1. Let c be i + 0 - (-1 - -1). Solve 4*f + 5*j = 3*j, f + 18 = c*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3*(-20)\/(-96)*(-33)\/6 and -113\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + 4 - 17 - -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 327544001.\nAnswer: 327544001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-11)\/c)**50*(c*(c**(-5\/8)*c)\/c*c)\/c**(-19) assuming c is positive.\nAnswer: c**(-4637\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -15389 + 15391. Let d = -1882 + 13196\/7. Factor -4\/7 + 26\/7*k**r - d*k.\nAnswer: 2*(k - 1)*(13*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-10*s - 19*s + 6*s)*(1455*s + 580*s + 355*s - 450*s) to the form t*s**2 + v*s + c and give t.\nAnswer: -44620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**3 - 4*r**2 + 2. Let x be y(4). Let p = -139\/3 + 47. Factor 2\/3*w**4 + p*w**x + 2*w**3 - 4\/3 - 2*w.\nAnswer: 2*(w - 1)*(w + 1)**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -95 - -94.99. Let b = 0.5 - 0.2. Sort w, -5, b.\nAnswer: -5, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -95 - -101. Suppose 14*b - 536 = z*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2155 + -1532. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the second derivative of 6*g**5\/5 + 127*g**4\/9 + 374*g**3\/9 + 20*g**2\/3 - 990*g. Find h, given that q(h) = 0.\nAnswer: -5, -2, -1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1 + -2 + 4 + 3. Suppose -2*y + g + y**2 + y**2 + 2 - 6*y = 0. What is y?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in i**2 - 366*i + 15 + 7*i**2 - 6*i**2.\nAnswer: 2*i**2 - 366*i + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1581567 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 5360144, 10720285, 16080426, 21440567, 26800708?\n\"Answer: 5360141*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 3 + 3)*(4 - 8 - 5)*(-2 + 3 + 6)*(3 - 2*w - 3).\nAnswer: -252*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - k + 1 = 4, -2 = -2*k. Let v(j) = -40*j - 2. Let p be v(i). Let y = p + -38. Solve 0 = -3*l + g, g - 3 = -y*g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 30*x - 62. Let m be g(13). Suppose -5*z + 9*z = m. What is the highest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**(2\/19)*i**4*(i**(-3)\/i)\/(i\/(i\/i**(-5))))\/((i*i\/(i*i\/i**(-1\/4)*i))\/i**(-1\/4)*(i**(-1\/2)*i*i*i)\/i**8) assuming i is positive.\nAnswer: i**(471\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f*f**(2\/11))\/f)**(-21\/5))**(-6) assuming f is positive.\nAnswer: f**(1638\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -3*o + 1713, -2*o - 117 = -5*k - 1271. Which is greater: 571 or o?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 91678902*j**2 - 110338834?\nAnswer: 183357804*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**2 - 3*z. Let g be n(4). Suppose -4*u + g = -3*u. Let m = 4 - 1. What is the remainder when u is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*(sqrt(196)\/(sqrt(28)\/sqrt(7)) + sqrt(49) + sqrt(49)))\/(sqrt(70)\/(sqrt(10) + -4*sqrt(40)\/sqrt(4))))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -7, -3, -16, 4, -17, -4 in descending order.\nAnswer: 4, -3, -4, -7, -16, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -645.2 + 645. What is the third biggest value in 0.4, 1.7, j, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 119*p - 226154 + 48392 = 2361817. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 388205?\nAnswer: 5, 77641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1247 is divided by 102?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 777568?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -48.37 to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27442958 is divided by 203.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14 and 1414?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -2221a5a (base 12) to base 5\nAnswer: -3131424332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1052\/30 + (-101)\/1515. Solve -5*k + o = -5*p, -21*k = -18*k + 5*p + 27 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 52 = -0*z. Let b = z + 10. Let n = b - -9. What is the lowest common multiple of n and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/7 - 138\/7. Let f be -19*(-5)\/20*-4. Is j not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-5 - -12) + (-2 - 0). Let o = -19\/2 + 9. Which is the smallest value? (a) o (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the third derivative of j**5\/60 + 7*j**4\/24 + 2*j**3\/3 - 10*j**2. Let i be k(-8). Let a = -8 + i. Solve a*w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 5*i + 329 - 666 + 12*i + 349 + 3*i - 16*i. Let f be (-2)\/((-1)\/2 + 1). What is n(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 6*s - 166. Let n be k(28). Which is the second biggest value? (a) -0.5 (b) n (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 45 - 40. Let r be ((-34)\/u)\/(16\/(-80)). Calculate the highest common divisor of 238 and r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 102.29 and 2.\nAnswer: 204.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q*q**1)\/q)\/q)**(-8\/7)\/((q\/((q**(-2\/15)*q*q*q)\/q))\/q**(-5)) assuming q is positive.\nAnswer: q**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (c + 4*c - 6*c)*(1 - 4 + 1)*(12*c + 25*c - 17*c) as u + k*c**2 + w*c and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x**3\/2 + 4371*x**2\/2 + 1589949*x\/2 - 1594323\/2.\nAnswer: 3*(x - 1)*(x + 729)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 255651.477 plus 1179?\nAnswer: 256830.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43*g**3 - 9*g**2 + 8*g**2 + 0*g + 0*g.\nAnswer: 43*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-24566)\/(-213) - (21\/9 - 2) is divided by 91.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11 - -7. Let x be 1\/d + 495\/12. Suppose -2*y + a + 35 = y, 0 = -3*y + 4*a + x. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -67 - -75 - (-210)\/((-30)\/5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2800001*j - 6 + 1 + 3. Suppose x + 2*x + 6 = 0. Let q be v(x). What is q rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*y + 7 + 7 = -11*y - 11, 5 = 4*j + y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -55*r**2 - 34435*r - 3130.\nAnswer: -5*(r + 626)*(11*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -427*s - 8394514 + 25566746. What are the prime factors of s?\nAnswer: 2, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.05 times -22118\nAnswer: 1105.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 91729018 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 917*l**3*r**2 - 134*l**3*r*x - 7*l**2*r**2*x + l*r*x - 1616*r**2 - r*x wrt l?\nAnswer: 5502*r**2 - 804*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2.4 (b) 0 (c) 0.13 (d) -5 (e) -6\/17 (f) 12 (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -36 divided by -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**2 + 4*o + 7. Let f be g(-5). Let c be 9\/f - (-27)\/(-4). What are the prime factors of (-1 - -4)\/c*-22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 25*o**4 - 68*o**3 + 79*o**2 - 59*o + 13. Let x(d) = 26*d**4 - 68*d**3 + 78*d**2 - 62*d + 14. Let k(c) = -6*q(c) + 5*x(c). Factor k(p).\nAnswer: -4*(p - 1)**3*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 159 + 1 = 2*y, 0 = y - r - 80. Suppose l - y = -4*l. Calculate the highest common divisor of l and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence btt when three letters picked without replacement from {b: 3, t: 3, h: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 392423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 537*x - 540*x = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*v - 21*v + v = 56 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**3 + 10*l**2 + 95*l + 176. What is z(-13)?\nAnswer: -1566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -5*b - 7*b + 0*b + 6*b + 7*b**2. Let h(k) = 12*k**2 - 12*k - 1. Let t(w) = -w**2 - w - 1. Let r(d) = h(d) - t(d). What is 11*o(a) - 6*r(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 4*q + 3 = 3*p, 0 = 4*q - 4*p + 12. Let m be 15\/20*4*(-2)\/q. Solve -2*t + m = -i, 4*t + 5 = 2*i + 3*t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -306 = 5*z - 26. Is z\/20*(-820)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10*c**2 - c**2 + c**2)*(-11*c + 28*c - 46*c).\nAnswer: 290*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-2*54\/36)\/(56\/21)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 9.2 and 3571.\nAnswer: 32853.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the third derivative of 1\/15*h**5 + 0*h**3 + 0*h**6 + 0 + 0*h**4 + 5*h**2 - 2\/105*h**7 + 0*h. Find the third derivative of g(w) wrt w.\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:33 AM and 9:52 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 566320, 1132665, 1699002, 2265325, 2831628, 3397905, 3964150?\n\"Answer: -d**3 + 2*d**2 + 566346*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8.038 + -8. Let i = d + -0.0308. Let n = 0.01 - i. Round n to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 4*m - 122. Let f(y) = -20113*y**2 - 20114*y**2 + 40229*y**2. Determine b(f(x)).\nAnswer: 8*x**2 - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 314279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of -1 and 1686.\nAnswer: -1686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 61326 is divided by 73?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/(-6)*4*1\/(-42).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 10 - 6. Suppose -5*o - 65 = -d*x, -3*o = x + 3*x - 117. What is the smallest common multiple of 15 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 250 = -28*u + 278 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -61\/3? (a) -0.5 (b) -0.27 (c) -4 (d) -5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 11906 = -1006. Round m to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {d: 2, b: 9, e: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 312 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 117641.\nAnswer: 47, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 44 and 3718.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/6 (b) -2\/9 (c) -413 (d) -5 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 4*g = 0, -h + 2*h - 2*g - 15 = 0. Suppose -w + 12 = -3*o - 19, -5*w + 29 = -o. Solve -2*x = 5*l + h, 5 + 18 = w*x - l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 68 and 68 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 10 minutes before 2:42 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 + 1 + 4 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 5) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5609743 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from llpppuuullpulu. What is prob of picking 3 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/(6 + -3 + 1). Let n be (-3)\/12*1*3. Let z = 8 + -11. What is the smallest value in v, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9233 at least as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12357, 24543, 36559, 48405, 60081, 71587, 82923?\nAnswer: 94089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (6\/4)\/((-21)\/(-56)). Suppose r*s + 60 = 7*s - 3*j, -20 = -4*j. Let b = -10 + s. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -78*z**2 + 19*z**2 + 61*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = 10*f - 6*f, -3*f + 27 = 3*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48\/5*i - 32 + 56\/5*i**2 - 4\/5*i**4 + 12\/5*i**3 = 0. What is i?\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes before 5:46 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000433201417 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -11230103332 (base 4) to base 10.\nAnswer: -1492222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 45.903 + -46. Let x = 3.097 + w. What is the biggest value in x, -7, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 944713?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*y = 23*y + 16. Sort 1, -50, 3, y in descending order.\nAnswer: y, 3, 1, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - ((-483 - -492) + (-132)\/14 + -2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -30*o**4 - 100 + 100 - 102*o**2 - 60*o**4 + 2*o**3 wrt o.\nAnswer: -2160*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the first derivative of w**3\/18 - 20*w**2\/3 - 82*w\/3 + 1346. Suppose i(s) = 0. What is s?\nAnswer: -2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 89 - 88.7. Let m = 4 + -3. Which is the third smallest value? (a) m (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 75 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -3*b**2 + 6*b - 10. Let x = -5 + -1. Let a be y(x). Let q be (a + 1)*40\/(-12). What is q rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**2 + 20*r - 310. Let z be a(-29). Let t = 30 - 72. Let m = t - z. Sort 3, m, -3 in descending order.\nAnswer: m, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15299816 divided by 188?\nAnswer: -81382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 38*f + 925. Let q be x(-20). Calculate the greatest common factor of q and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 3 - 2*j**2 + 4*j**2 + 3*j**2 - 2*j**2 - 2*j**2 + (j - j + 2*j)*(-3*j + 0*j + 6*j) + j**2 - 4*j**2 + 2*j**2.\nAnswer: 6*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*((-1)\/1)\/(36\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the first derivative of -i**3\/3 - 168. Let l(g) = -3*g + 12. Determine l(r(u)).\nAnswer: 3*u**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -97783\/298 at most -328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6953078*g**2*w**3 + 22*g*w**3 - g*w + 82377*g wrt g.\nAnswer: -13906156*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 359*n - 86135 = 1822*n + 998*n for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -4*q**2 - 2*q - 8. Let n(k) = -9*k**2 - 4*k - 17. Determine -6*n(a) + 13*r(a).\nAnswer: 2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 251 - 68 - 10*b + 175 + 99 in the form w*b + i and give i.\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1689\/19705*(-140)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.1 + 23.9. Let v = i - 26. Let x = -0.2 + -0.3. Which is the third smallest value? (a) -4 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by -165553120.\nAnswer: -1\/41388280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1453519526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2072316261?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 19 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (-19 + 40 + -29) - 56?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor z**3\/2 - 687*z**2\/2 - 11504*z.\nAnswer: z*(z - 719)*(z + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 934927081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -899*p - 2190*p - 4 + 4 + 378*p.\nAnswer: -2711*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the first derivative of 8*b**4 + 140*b**3 - 198*b**2 - 56*b + 5. Determine x so that p(x) = 0.\nAnswer: -14, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.004379971 rounded to 5 decimal places?\nAnswer: -0.00438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 44892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 26336 and 4510.\nAnswer: 59387680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-5 + sqrt(21)\/(((sqrt(77)*-2 - sqrt(77)) + sqrt(77) - sqrt(77))\/sqrt(11)) - (sqrt(900) - sqrt(36))\/(sqrt(9)\/(sqrt(15)\/sqrt(5)))).\nAnswer: -25*sqrt(3)\/3 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 653826.268 - -3?\nAnswer: 653829.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbbooooboboo. Give prob of picking 2 o.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 20813 or 20814?\nAnswer: 20813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -4 (b) 3.725 (c) 1.4 (d) -5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -179.0002376 - -179. What is u rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**3*g**(6\/5)\/g*g**2\/g**12 assuming g is positive.\nAnswer: g**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -1\/7, 0.2, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -321 divided by 213178\nAnswer: -321\/213178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is j in 33762813*j**4\/2 - 35938176*j**3 + 4420620*j**2 - 139776*j - 24 = 0?\nAnswer: -2\/11711, 2\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1666 and 833?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 76 - 45. Suppose -t = -4*v - 11. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4315.24076 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0989 rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.47 + -0.13. Which is the third biggest value? (a) -1 (b) -3\/14 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2309 + 1148 - 4*a + 1147 - 3*a**3 to v + u*a + d*a**3 + f*a**2 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1144)\/(-66))\/(-13)*(-114)\/(-4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 148760.3um?\nAnswer: 14.87603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-450)\/(1600\/(-64))*2*(-3)\/4\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 7 = p, -2*p - 13 = 4*b - 31. What is the highest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1478 + 2122. What is the smallest common multiple of 6 and g?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 1, -4, 8 in ascending order.\nAnswer: -4, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhhhhererhrec. Give prob of picking 1 c, 1 h, and 1 e.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2217089471 to the nearest integer?\nAnswer: 47086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -17*l**3 + 55608*l**2 + 6*l + 2908191 wrt l.\nAnswer: -102*l + 111216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4982 and 370152?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jq when two letters picked without replacement from {g: 1, j: 2, v: 2, q: 1, h: 7, u: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*o - 29 - 41 + 141*o + 140 - 37 - 35.\nAnswer: 123*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4746574 to the nearest integer?\nAnswer: 2179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -31\/5 + -19\/30. What is the common denominator of 115\/56 and h?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -36 + 16*1170\/416?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 52517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33918 is divided by 16956.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hpvpphhphkhprvp. Give prob of picking 1 h and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be 14 + 0 + 3 + -2. Suppose j - 4 = z + q, -j = 2*z - 22. Suppose -b - 4*b = -j. What is the highest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 11*i**5\/6 - 125*i**4\/2 - 599*i**3\/3 + 81*i**2 + 1187*i\/6 - 37\/2 = 0. Calculate i.\nAnswer: -3, -1, 1\/11, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**3 + 9*p**2 - 11*p + 10. Let z be 45\/18*28\/10. Let l(i) = -i**2 - 10*i - 5. Calculate the remainder when r(z) is divided by l(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 111805935 to the nearest integer?\nAnswer: 10574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/66700 and 181\/690?\nAnswer: 200100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-90)\/(-20)*16\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6\/13 + (-3880)\/130*-3 and 130.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 22*b - 40 + 13*b + 36 - 2*b**2 + 13*b. Does 61 divide t(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49970905591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 10851 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4348 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -374 - -376. What is the remainder when 143 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*a - 9 = 21*a - 3*x, 6*x - 18 = 2*a. Solve -13*d - p = -12*d - 8, -4*d - 3*p + 27 = a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-9)\/(-6))\/(3\/8). Suppose -d*a = -a + 27. Let r be a\/(-4) - 2 - 1. Sort -0.4, 0.4, r in increasing order.\nAnswer: r, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3885 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2111011 - 2130033?\nAnswer: -10301110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 9 = -7. Suppose c*w = -2*q + q + 13, w + 5*q + 11 = 0. Suppose w - 9 = -5*i. Solve -7 = 4*s + i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.52 in 5, -3, 1, -0.1, -195?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (457\/6398)\/(4\/(-210))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -329*f + 355*f - 3224. What is the lowest common multiple of f and 16?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 762091540 to the power of 1\/2, to the nearest integer?\nAnswer: 27606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the third derivative of -o**7\/315 - o**4\/24 - 4*o**2. Let m(l) be the second derivative of f(l). Let y(p) = -2*p. What is m(y(x))?\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the second derivative of -a**3\/6 - 4*a**2 + a. Let n(t) be the second derivative of -t**3\/3 + 6*t**2 - 4*t. Let u be n(8). What is m(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -6*(0 - 4\/(-12)). Let r be (-2245)\/(-75) + 16\/240. Is u at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(612) + 0)*-5 + 1.\nAnswer: -30*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/((-9)\/4)*6390\/284?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -28173 times -1822?\nAnswer: 51331206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q**4 - 11388*q**3 - 16898456*q**2 - 1949422020*q - 36035421350 = 0. Calculate q.\nAnswer: -2785, -101, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 14 + 19*w**2 + 21 - 38. Let j(q) = 3*q**2. What is r(j(o))?\nAnswer: 171*o**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**2 - 6*i - 13. Let t be m(8). Let b be (-9)\/t - -3 - -1. Solve 0 = -3*w + 2*w - b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*z - 302*z - 9950 = -1070 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 3*j - 2*j**2 + j**2 + 3*j**2 in the form g*j + z*j**2 + s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1 - 0 - (3 - 1). Calculate the least common multiple of a - 1 - -19 - 1 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, a: 1, j: 2, v: 1, u: 4}. What is prob of picking 1 v and 1 j?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 7370663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 11866 = -o, 5*o - 11850 = -5*l - 0*o. What are the prime factors of l?\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 205937293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 4*s. Let u(v) = 5*v + 1. Let d(c) = -j(c) + 2*u(c). Let h(b) = -6*b - 2. Determine -6*d(n) - 5*h(n).\nAnswer: -6*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.5 - 1.514. Round r to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0298 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 79.71358um in meters?\nAnswer: 0.00007971358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 10509, 20805, 31101, 41397, 51693, 61989?\n\"Answer: 10296*f + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 45 + -25. Let u be (-6)\/15*y\/32. Which is the nearest to -1? (a) 4 (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g\/(g\/(g**(-6)*g)))**(-1\/25))**(-1\/3) assuming g is positive.\nAnswer: g**(-4\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 21534 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 19 = -1357*i + 423*i + 19 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 14.7 - 15.7. What is the nearest to -63 in 0.2, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 748.162t?\nAnswer: 748162000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10789\/3 + 3598. Suppose 0 + 10\/3*a + 20\/3*a**3 - m*a**4 - 25\/3*a**2 = 0. What is a?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 128*n**4 + 2*n**3 + 1433*n**2.\nAnswer: 3072*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 3, b: 4, a: 5}. Give prob of sequence zbzz.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 629 and 4879.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-24)\/88)\/(-3)*2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 17*o + 75. Determine n(-9).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*p + 115 + 52 = -5*p - 163, -7*p = -5*b - 57 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9185 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*p - 3*p - 5*p + 5*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 8*i - 2*i + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.005 - 9700501841517.\nAnswer: -9700501841516.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 34 - 26 - (-65)\/((-10)\/2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 4*w**3 + 10*w - 24*w**2 - 4*w**2 + 4*w + 10*w = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 39710 divided by 1805\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -261\/616 or 0?\nAnswer: -261\/616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.8, -44, 2\/7?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 759*a**3 - 774*a**3 - a + a**2 + 0 - a**4 + 0 as s*a**3 + d + v*a**4 + m*a**2 + w*a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s + s + s)*(-7*s**4 - 10*s**4 + 3*s**4).\nAnswer: -56*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50551*q - 101101*q + 50550*q + 174*q**2 - 40*q**2 + 82*q**2.\nAnswer: 216*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/60*3)\/((-462)\/1008)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together 52.9051 and 0.05.\nAnswer: 52.9551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 169 a factor of 140608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3 + 0. Suppose t*k = 26 + 85. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 29936161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.24 and 295.\nAnswer: 294.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -2*u**3 + 16*u**2 + 2*u - 16. Let q be k(8). Suppose -5*a + 4*w + 3 = q, -3*w = -4*w + 3. Let d be (8*a\/36)\/(2\/3). Solve -9 = -5*o + d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2685648002 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -33.3 - -33.4. Which is the nearest to 0? (a) -3 (b) l (c) -2 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 202474, 404463, 606452, 808441?\nAnswer: 1010430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*u**3 + u - 8 + 1 + 7 to the form c*u**3 + d*u + j + l*u**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 4*g - 4)*(-320 + 1685 - 34 + 560 + 3408 - 216).\nAnswer: 20332*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a. Let v be w(3). Suppose 5*l - v*l - 4 = 0. Factor -7\/5*k**l + 2\/5*k + 0.\nAnswer: -k*(7*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 32*a - 98*a - 2244. Let r(l) = l**3 + 37*l**2 + 101*l - 26. Give r(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -20 + (-2 + 11 + -8 - -25)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 8 = 0, 0*o - 4*r + 22 = -2*o. Let f be o\/5 + (-342)\/(-45). Solve -4*g + f*g - 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -171.97358 rounded to one dp?\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*t + 5*t + 2*t**3 + (-24 - 9*t**2 + 24)*(43*t - 462 - 12*t + 464) - t**3 - t**3 + 0*t**3.\nAnswer: -279*t**3 - 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/(5\/(-25 + 0)). Suppose 4*w - 6*w = -h*f - 88, -5*w + 3*f + 258 = 0. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2708*m**3*u*v**3 - 7*m**3*u*v + 4*m**3*u - 14*m - 2*u + 131 wrt v?\nAnswer: 8124*m**3*u*v**2 - 7*m**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -2207, -4406, -6595, -8774?\n\"Answer: 5*g**2 - 2214*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48698339 - 48698339 - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 7) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 39297, 78536, 117723, 156858?\nAnswer: 195941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.13, 434, 0.02, 0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 17505 + -352?\nAnswer: 17153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16380346 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 912470.5km?\nAnswer: 912470500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 100 a factor of 214149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (50\/(-70))\/((-45)\/18)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 10*g**2 - 856836*g + 55008047 wrt g.\nAnswer: 20*g - 856836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ikrsbswb. Give prob of picking 1 r and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the third derivative of y**6\/120 + 13*y**5\/60 - 7*y**4\/12 - 8*y**3\/3 + 3*y**2. Let h be a(-13). Suppose -s + h = s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -52 - -53. Let d be (-10)\/14 + (-1)\/(-1). Which is the smallest value? (a) q (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 20 and -13598979550.\nAnswer: -13598979530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 306 - 175. Let h(y) = -299*y**2 + r*y**2 + 148*y**2. Let q(g) = g**2. Determine q(h(z)).\nAnswer: 400*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**0\/u)**30*u**(-1\/3)*u\/(u**(2\/13)\/u))**(-22) assuming u is positive.\nAnswer: u**(-1298\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -6172*a = 4*z + z - 6168*a + 71, -5*z - 5*a - 75 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/(-3250) - (-150)\/1875.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -62 + 61.94. Which is the nearest to z? (a) 2\/3 (b) -0.3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6264 = c - 30602. Let k be (-72)\/27*52986\/(-8). Let q = k + c. Round q to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -150*z - 4484. Calculate r(-30).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -23*t**2 - 3132*t**3 - 7694*t**3 - 6158*t + 23*t**2 wrt t.\nAnswer: -64956*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x**3 - x + 1. Suppose 0*o + 10 = -4*o + 3*b, 5*o = -b - 3. Let s(h) = -h - 5 + 3*h**2 - 3*h**2 + 7*h**3 + 5*h. What is o*s(a) - 4*f(a)?\nAnswer: -3*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -477675265*f**2. Let n(w) = -w**2. Calculate q(n(t)).\nAnswer: -477675265*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/46 - (11172\/(-460) - -25)) + (-4)\/(-6)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1697 - 1702. Which is the second biggest value? (a) 0.01 (b) o (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert b96 (base 14) to base 11.\nAnswer: 17a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-38 - 1) + (0 + 6 - (-81 - -79))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*h = -17*h - 160. Let x(z) = -20*z**3 + 136*z**2 - 32*z. Let g(b) = 3*b**3 - 21*b**2 + 5*b. Let u(k) = h*g(k) - 5*x(k). Find v, given that u(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5306545 or -5306544?\nAnswer: -5306545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -254.7209 - 0.5791. Let m = -258 - p. Let b be -2 - (8\/(-6) + -1). Is b greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4729*b + 99168 - 11679 + 57770 + 105378 = 0 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1073010151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(147)\/sqrt(7) + sqrt(21))*-1 - sqrt(126)\/sqrt(24))\/(4*(sqrt(28) + sqrt(7)) + sqrt(42)\/(sqrt(36)\/sqrt(6))).\nAnswer: -5*sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/8 and 24\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 117 minutes before 9:16 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (336 + 69 - 58)*((4 + 5 - 6)*(-x**5 + 2*x**5 - 4*x**5) - x**4 + x**4 + 2*x**5).\nAnswer: -2429*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/14? (a) 3\/5 (b) 14 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the first derivative of -3*x**2\/2 - 4*x - 6. Let u be v(-2). Suppose 0 = -u*o + 9*o - 63. Calculate the smallest common multiple of 1 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 21 divided by 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -7*q + 10. What is the lowest common multiple of r(-5) and 33?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -255 - -305. What is the remainder when 192 + (18\/2)\/3 is divided by i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -340524 (base 6) to base 3.\nAnswer: -1110101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q. Suppose 49*n - 48*n - 3*f = -9, 5*f = -4*n + 15. Let a(o) be the third derivative of n*o**3 + 1\/24*o**4 + 0*o + 0 - 7*o**2. Determine y(a(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 922241319.\nAnswer: 3, 307413773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 90 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -434 (base 13) in base 10?\nAnswer: -719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 1\/5 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 + -1. Let d be 10 + 0 - (-32)\/(-8). Let v be (-2 + (-36)\/(-20))*(-20)\/d. What is the closest to n in v, -2\/11, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -42, -12, 1\/2, -1\/2 in decreasing order.\nAnswer: 1\/2, -1\/2, -12, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 593329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*j - 24*j = -8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n = -9*n + 200. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*y**4 - 425*y**3 - 46192*y**2.\nAnswer: 120*y - 2550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6479093 is divided by 99678?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -89 + 89. Which is the nearest to -1\/3? (a) -18\/11 (b) q (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 * 0.33.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 146255 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.038 and -0.5?\nAnswer: -0.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(891) - (sqrt(891) + -4)) + 1*sqrt(1331) + (sqrt(891) + (sqrt(891) - (sqrt(891)*-1 + 1)) - -3*(1 + sqrt(891)))**2).\nAnswer: 681*sqrt(11) + 96252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -74, -92, -3, 0 in increasing order.\nAnswer: -92, -74, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 2*t + 5. Suppose -3 - 24 = 3*p. Let u be (-24)\/p*(-9)\/(-6). Suppose 0 = -5*q + u*q + 4. What is c(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 12 + -8. Suppose -y = 2*j + 216, 5*y - 2*y = -2*j - 640. Let x = y + 221. Calculate the smallest common multiple of x and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is o in 3*o**4\/7 - 23379*o**3\/7 + 60629202*o**2\/7 - 52057636356*o\/7 - 687047057112\/7 = 0?\nAnswer: -13, 2602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes before 10:38 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/((r\/r**(-20))\/r))\/(r**9\/r))\/(r*r\/(r\/r**(2\/9)))**(-26) assuming r is positive.\nAnswer: r**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(396)*1 + (sqrt(396) + 0)*-5)**2 - (3 + -2 + (2*sqrt(396) - sqrt(396))).\nAnswer: -6*sqrt(11) + 6335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -175*u**3 - 177*u**3 + 333*u**3.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(-6)\/z*z)\/z**(3\/5)*z**(4\/5)*z*z*((z*z*z*z**(1\/4)*z)\/z)\/z)**(-3\/2) assuming z is positive.\nAnswer: z**(33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are -120 and -93 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 305601*t**4 + 14*t - 23918?\nAnswer: 3667212*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -399, 6, -1, -2, 4, 10 in descending order.\nAnswer: 10, 6, 4, -1, -2, -399","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 62 and 1479628450.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 3, y: 5}. Give prob of picking 1 y and 1 q.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 932 = 11*l - 5569. Which is bigger: l or 592?\nAnswer: 592","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.425219 to three decimal places.\nAnswer: 0.425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 3 - (19 + (-14 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 47 - -40. Let w = -64 + s. What is the derivative of 41*m**2 - 5 - w*m**2 + 1 + 1 wrt m?\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4212 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-36 - (-2160)\/132) + (26\/(-11) - -2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/(-15))\/((-8)\/(-240)*4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*c + 426*c = 19*c + 8073 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4 - -7. Calculate the remainder when 41 is divided by (-1)\/(j\/(-33))*1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 8, w: 8, n: 1}. What is prob of picking 2 c?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -45497, -45492, -45487?\n\"Answer: 5*n - 45502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 3*c**3 - 4. Give o(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10914 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 2*f**2 - 79*f - 338. Determine s(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 4462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:15 AM and 7:22 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/6*(-15)\/110?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -160109 + 60*v**2 + 160109.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (-82 + 42 + 9*g + 37)*(-3 - 2 + 4) in the form l + p*g and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 187712319*y**5 + 1318241676*y**4 - 18365987004*y**3 - 416808234*y**2 - 3150819*y - 7938 = 0 for y.\nAnswer: -14, -3\/397, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5\/(-4)*-14*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 57*i + 3 - 117 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 30\/4*(-8)\/(-6). Let a(u) = 19*u + 15. Let j be a(-10). Let y be 1\/((-2)\/(-7))*(-200)\/j. Solve y*p = -p - q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.3805 - -1.6195. Which is the third smallest value? (a) 4\/7 (b) m (c) 12 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 1 + 4*z**2 + 2*z - z**3 - 10*z**2 - 4*z. Let t be o(-4). Let x = 43 + t. What is the lowest common multiple of 18 and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 9876551 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -174*n - 172*n - 157*n - 34*n + 723*n - 160*n + 3.\nAnswer: 26*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -239 + 243. Suppose 4 = p*l, 1 = -2*v + v + 3*l. Let z(r) = r**2 - r - 3. Let w be z(3). Solve -3*d + v*d + w = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.968008 milligrams in nanograms?\nAnswer: 5968008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be 5 - (3 - 1) - -9. Solve z - y = 5*f, 2*z + 0 - 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53 + 174*l - 2*l**3 - 56 + 93*l.\nAnswer: -2*l**3 + 267*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be -10*2*(-2)\/8. Let y = 18 - o. Suppose -5*s + y = 3*k, -4*s + 13 = -0*s + 5*k. Solve -c = c + s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 27 + -31. Let b(i) = i**2 + 6*i + 3. Let j be b(x). Let d(k) = -2*k + 4. Let y be d(j). Calculate the greatest common divisor of 126 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*w - 17 + 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 162?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 23108918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes before 8:55 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 2*l - 2 + (483*l + 486*l + 4973 + 475*l - 1440*l)*(3 - 3 + 1) to the form h*l + z and give z.\nAnswer: 4973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is (468\/351)\/(-4*(-2)\/5154) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -32*f + 1. Let q be (3*(-2)\/(-3))\/(-2). What is the remainder when v(q) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*s**4 - 143680*s**3 + 1291251768*s**2 - 18056409280*s + 63172800964.\nAnswer: 4*(s - 17953)**2*(s - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2728)\/(-124) - (-2 - 2). Let l(d) be the first derivative of -y + 9*d + 19\/2*d**2. Let t(z) = 9*z + 4. Give -4*l(a) + 9*t(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46954753*k**2 + 46*k - 46954753*k**2 - 48*k - 50*k**3.\nAnswer: -50*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 82464552.\nAnswer: 2, 3, 17, 89, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20180?\nAnswer: 2, 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -7*s**2 + 53*s - 53*s as k*s + q + w*s**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -9*a - 27. Let t be d(-4). Differentiate 31 + 69 - 23*n + t*n - 23 with respect to n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 27? (a) 103 (b) -6\/13 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**2 + 12*y + 19. Let x be l(13). Suppose 6*v - x = 4*v. Determine o, given that -v*o + 65*o**5 - 2*o + 10*o**3 - 70*o**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 13*v + 10965 = 76862. What are the prime factors of v?\nAnswer: 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3151506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 2*z - 5. Let p be s(5). Solve -p*u + 11 = 4*n + 30, 5 = n - 2*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -m**2 + 341*m. Let y(w) = 4*w - 15. What is y(h(s))?\nAnswer: -4*s**2 + 1364*s - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand m + 0*m - 2*m + (2 + m - 2)*(-11 + 18 + 22) - 2 + 3*m + 2.\nAnswer: 31*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*d**3 + 39*d**3 - 8*d**3 + 18*d**3.\nAnswer: 38*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w**2 - 7*w - 4. Let o(c) = -c**2 + 3*c + 4. Let x be o(5). Is 2 a factor of f(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**2. Let o(r) be the first derivative of -13*r**4\/12 - 25*r - 21. Let v(c) be the first derivative of o(c). Give v(p(z)).\nAnswer: -13*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 PM and 3:36 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r**3 + 22*r**2 - 2*r + 40. Let v be z(22). Let g(d) = -d**2 - d + 17. Let k be g(v). Solve -3 = 2*c + c, -k*a = 2*c + 22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -2*h**3 + 7*h**2 + 5*h + 7. Let t(s) = -2*s + 1. Let y be t(-5). Let b = y + -8. Let q(m) = -m - b - m**2 + 4 - 2. What is -p(r) - 5*q(r)?\nAnswer: 2*r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19 - 7. Let p = -10 + k. What is the tens digit of 2 - 30\/(0 - p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2\/71 + -377\/781. Calculate the common denominator of 39\/41 and s.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 18235\/45 - (-4)\/(-18). Suppose w = 1 + h. Suppose 86 - w = -4*a. Calculate the highest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 1110100000 (base 2) to base 8\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*u + 5566 = 91*u. Solve -22*s + u = 24*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 3*r**2 - 3*r. Let p be c(2). Let y(d) = -p*d + 4*d - d**2 - 3*d. Let x be y(-5). Solve x = -0*b - 2*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1077733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.0995413451214 and 0.4?\nAnswer: 0.3004586548786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(2\/5)*o\/((o**(-6\/5)*o)\/o) assuming o is positive.\nAnswer: o**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*h + 0*h - 3*h**5 + (0*h**3 + 0*h**3 - 2*h**3)*(3*h**2 - 2*h**2 - 3*h**2) + (-h**3 - 4*h**3 + 4*h**3)*(3 - 2 + 2)*(0*h + 0*h + h**2) - 2*h + 2*h - h**5.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + -2 + -1 + 5 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2.11 - -0.11. Which is smaller: j or -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 8 = 3*j, 3*j - 4*q = -9*q + 22. Let i be 3\/(-12) + 2\/8. Solve -j*l - s + 19 = 0, -5*l + i*s + 32 = 4*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**2 - 5*g - 562. Give h(30).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -106080142*s. Let d(w) = 7*w**2. Determine d(h(j)).\nAnswer: 78770975687181148*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 39 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -201, -445, -687, -927, -1165?\n\"Answer: b**2 - 247*b + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from utququxuuqttu. Give prob of sequence uu.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be (20\/6)\/(8\/12). Suppose 0*a - 7*a = -21. Solve 5 = a*m + 2, -q*d = -m - 24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 8\/4*10\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 50, 0, -50, -100, -150?\n\"Answer: -50*g + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, t: 8, f: 5}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -175 - -871\/5. Let h be 2 + -2*(-7)\/(-42)*-1. Which is the biggest value? (a) q (b) -1 (c) h (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - 9\/6)*(6 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x\/(x**19\/x))**(17\/4)\/(x**(2\/115)*x*x**(2\/17)*x) assuming x is positive.\nAnswer: x**(-137114\/1955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be (132\/(-8))\/1*(-696)\/(-18). What is m rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - (3 - (5 - 3)) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 e and 1 c when four letters picked without replacement from eececcececceceeceec?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4224 and 26928.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1102*n - 1762*n - 39559 = -537*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the first derivative of 2*d**3\/3 + 193*d**2\/2 + 282*d + 306. What is the derivative of w(y) wrt y?\nAnswer: 4*y + 193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*p - 4*c + 15, -4*p + p + 15 = -3*c. Let u = p + -1. Suppose 3*h - 4*t + 0 = 38, 28 = 2*h - u*t. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.4995 and 236?\nAnswer: 235.5005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -5 (b) 100 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*q + 18*q - 378*q**2 - 25*q to the form p*q + o + g*q**2 and give g.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 801 and 357.\nAnswer: 95319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 w when three letters picked without replacement from {t: 3, w: 3, p: 2, g: 11}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -150 (base 7) in base 13?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - -3) + (0 - (6 - 8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-1 - -3) + -2)\/2. Let j(o) = -3*o - 3. Let y be j(-2). Let a = y + b. Solve -4*p = -g + a - 0, 0 = 5*p + g + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28223 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -2\/7, 0.1, -0.16907?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from {u: 1, a: 3, o: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify k*k**(2\/7)*k**(2\/31)*((k*(k\/((k**(-2\/27)\/k)\/k))\/k)\/k*k)\/k**(-13) assuming k is positive.\nAnswer: k**(102089\/5859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.07089 + 0.92911. What is the closest to j in -6\/5, 4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 2586*m**2 + 290*m + 1965. Is n(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -73, -76, -79, -82, -85, -88?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 61336 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1000 - 11111101110100?\nAnswer: -11111101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -420, -1635, -3660, -6495, -10140, -14595, -19860?\n\"Answer: -405*t**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y\/(y*(y\/((y\/(y\/(y**(-2\/9)\/y)))\/y))\/y)*y))**47)**(-35\/4)*((y\/(y\/y**0))\/y)**(9\/5)\/(y**(-6)*y**9\/y) assuming y is positive.\nAnswer: y**(-41296\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/7, 3\/23, -4\/5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.1 + 6.9. Let t = -10 + 15. Let j = s - t. What is the second biggest value in -3, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1118*a + 161 = -1001*a - 1243. Which is bigger: 7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 293*b + 9 = -3*a + 297*b, 5*b = 5*a + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**0)**(9\/5)*(d**(-1\/4))**(-2\/23) assuming d is positive.\nAnswer: d**(1\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w + 12 + 13 = f, 3*f = 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from vmh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 597*j**2 - 3*j + 3*j + 69*j**2)*(-4*j**2 + 0*j**2 - 7*j**2) in the form l*j**3 + b*j**2 + n + d*j + u*j**4 and give u.\nAnswer: 5808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 458*o + 134 = 462*o - 5*b, 85*o = -b + 3062 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 16 (base 12) to base 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 20, -2, -5 in increasing order.\nAnswer: -5, -4, -2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -3*j**3 + 37764*j**2 + 1210752*j + 9692160 = 0.\nAnswer: -16, 12620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 82 minutes after 3:46 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -c3510 (base 15) to base 6.\nAnswer: -21132353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 36 - (-35 - (12 + (-76 - -11)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 10*f**5 + 3*f**4 - 6*f. Let q(r) = -29*r**5 - 8*r**4 + 18*r. Let t(k) = 8*g(k) + 3*q(k). Find the second derivative of t(a) wrt a.\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((o*o**(2\/25)*o*o)\/o**(-2\/13))**(-2\/37))**(15\/2))**(-1\/15) assuming o is positive.\nAnswer: o**(1051\/12025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 44 + -43. Suppose 0 = 6*j + 13 - k. Let b(w) be the third derivative of w**5\/60 - w**4\/12 - w**3\/3 - 11*w**2. Calculate b(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3222784 to the nearest 10000.\nAnswer: -3220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 51 minutes before 7:52 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -279197 = -2975*c - 85822 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/(7\/2*1322\/(-661)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 39\/3142 and -77\/10?\nAnswer: 15710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -11*r**2. Suppose 4*k - 156 = -2*o, 4*o - 19 - 27 = -k. Let w(v) = 18*v**2 + 18*v**2 - k*v**2. Calculate y(w(s)).\nAnswer: -44*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.02 in -413, -5, -1, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 349 + 64?\nAnswer: 3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**6\/n)\/n**(2\/17)*n\/(n\/n**1)*n**(-2\/31)*n assuming n is positive.\nAnswer: n**(3593\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 28 - 27. Let f be 11 - a\/(-5)*-5. Suppose -2*y = -3*r - r - 4079992, 5*r - f = 0. Round y to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(35)\/sqrt(5)*3 - -1*(sqrt(7) + sqrt(7) + -2) - ((1*sqrt(448) + 1)**2 - (2*(-2*sqrt(448) + sqrt(448))**2 - sqrt(448)))) + 3.\nAnswer: -19*sqrt(7) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 16527 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -307904.0004 to the nearest 10.\nAnswer: -307900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 64\/28*-8*(-14)\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in n - 6*n - 34*n**2 + n - 8146 - 693.\nAnswer: -34*n**2 - 4*n - 8839","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6011.\nAnswer: 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 6*u = 12*u - 18224. What is the highest common factor of 34 and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*v + 670 + 2078. What are the prime factors of v?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -5*n**3 + n**2 + n - 1. Let i be v(-2). Find the second derivative of 10*t**3 + 81*t - 38*t - i*t wrt t.\nAnswer: 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (18\/(-4))\/3*2\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l + 134590 + 169055. Suppose x - 6*x + 3*u = 60733, -4*u = -5*x - l. Let d = 7149 + x. Round d to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**2 - 6*o - 4. Let i be t(6). Let k = i - -5. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 34 and 3791.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 582 - 601.12. Let t = -0.12 - s. Which is the third biggest value? (a) 2 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3.1 and -0.1483.\nAnswer: 0.45973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0\/(1*(3 + (-4)\/(16\/28))). Let v(p) be the second derivative of -1\/6*p**3 + k + 1\/2*p**2 + 7*p. Give v(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 327.5619km in nanometers?\nAnswer: 327561900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -213927 or -2781066\/13?\nAnswer: -2781066\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 69.45113 meters?\nAnswer: 0.06945113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5235 - -5235. Let n(v) be the third derivative of 0 + 3\/4*v**4 + z*v + 1\/60*v**5 - 9*v**2 + 0*v**3. What is the second derivative of n(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 24 - 4 = 0. Let w be (10\/y - -3)*6. Suppose -3*s - w*q + 33 = -6*q, 0 = -2*q. Which is smaller: s or 29\/3?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 2*u + 20. Let g be a(-8). Factor 2*q**5 - 98*q - 3*q**4 + 33*q**g + 96*q**3 - 2*q**4 - 28*q**2.\nAnswer: 2*q*(q - 1)*(q + 1)*(q + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/30 in -2, 0.02, 0.07?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(99) - (-5 + (sqrt(11) - sqrt(11)*2) - sqrt(11))) + sqrt(99)\/((sqrt(45)*-1)\/sqrt(5)))**2.\nAnswer: 48*sqrt(11) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -5157, 10, -1, 7 in ascending order.\nAnswer: -5157, -1, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the third derivative of h**4\/24 - h**3 + 2*h**2. Let v be u(7). Suppose -37 = -x + 5*s, -s + 29 = 2*x - v. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3.305, -2\/11, 4, 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 151606209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**2 - d - 1. Let z be h(-1). Let t(y) = -y - 1. Let o be t(z). Calculate the remainder when 33 is divided by 17*(o + 0 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 856540, 856539, 856538, 856537, 856536, 856535?\n\"Answer: -h + 856541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = g + 20 - 111, 0 = 4*o - 2*g - 138. Let t = 18 + o. Let x = -30 + t. Solve z - x = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17) - ((sqrt(17) - (sqrt(17)*-2 - sqrt(17) - sqrt(17))) + 0)) + 5 + 3.\nAnswer: -4*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be 15247\/553 - (-8)\/(-14). Suppose -k - k - 6 = d, -3*k = -3*d + g. Solve -4*s + 8 = d*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1, 3, 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -55 - 14?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**3 + 2*b**2 - 5*b + 5. Let a be z(5). Let v = -47 - a. Solve 13*g**3 - 12 + v*g - 51*g**2 + 7*g**3 - 5*g**3 = 0.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 9*f. Let p(u) = -5*u + 2. Let q(n) be the second derivative of n**3\/3 - n**2\/2 + 28*n. Let y(c) = p(c) + 2*q(c). Calculate t(y(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = q + 2*d - 3, q = 2*d + 8. Let c be 14\/q*6\/21. Is -3\/8 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**3 - 1642090*c**2 + 134824620480*c - 269642672640.\nAnswer: 5*(c - 164208)**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2*q + 1)*(-5*q + 0*q + 2*q) + (-16 - 29 + 168)*(-3 + 2*q + 3)*(0*q + 6*q - 3*q) + (5 - 3 - 3)*(-q + 2*q**2 + q).\nAnswer: 742*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*f**4\/4 + 2535*f**3\/4 + 1269*f**2\/2.\nAnswer: -3*f**2*(f - 846)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be (0\/1)\/(1\/(-1)). Suppose -5*o + 15 = h, 2*z + 4*o + 9 = z. Let g = -12 - z. Solve 3*a + g + 0 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 12, e: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**3. Let c(y) be the third derivative of 0 + 0*y**3 + 1\/120*y**6 - 13*y - y**2 - 1\/20*y**5 + 0*y**4. Calculate -c(m) + 2*h(m).\nAnswer: m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5 and 44372265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the third derivative of w**4\/6 - 2*w**3 + w**2. Let z be f(7). Let o = z + 17. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1633624 divided by 2\nAnswer: -816812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 3*y**3 - 3*y**2 + 2*y + 1. Let f be q(2). Let k = f + -50\/3. Which is the closest to k? (a) -4 (b) -0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 481 minutes before 8:32 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 421245 (base 6) to base 8\nAnswer: 102335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 217832679 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 42 + -38 - (6 - (-7 - 9)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -11*k - 29*k - 15*k. Let p(h) = 2*h. Let d(w) = -w. Let v(x) = 3*d(x) + p(x). Give v(o(l)).\nAnswer: 55*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 269572 divided by 14\nAnswer: 134786\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1754308 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -654 + 658. Solve w*g + 3*p - 3 = -2*p, -4*p = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 21\/2 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 667 - 117. Let m = u - 462. Suppose 0 = 4*z - 60 - 28. What is the highest common divisor of m and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -13 + 15. Suppose 2*n = w*p - 14, -3*n = 4*p - n - 16. Solve -25 = -0*x + p*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(76)*2)\/((-2*sqrt(48))\/sqrt(12)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in 2, 54, -4, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010 - -1001101111011010100101111?\nAnswer: 1001101111011010100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 769 is divided by 231.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the third derivative of g**9\/90720 - g**8\/4320 - g**7\/945 + 9*g**5\/10 - 4*g**2 + 2. Let d(w) be the third derivative of p(w). Factor d(y).\nAnswer: 2*y*(y - 8)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -14*r**3 - 5*r**2 + 9*r + 17. Let i(w) = 12*w**3 + 4*w**2 - 7*w - 16. Give 5*i(d) + 4*l(d).\nAnswer: 4*d**3 + d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of b**5*i**3 - 6*b**3*i**3 - 2*b**2*i - 34*b*i - 2*i**3 wrt b.\nAnswer: 20*b**3*i**3 - 36*b*i**3 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 223.02 + -225. Let o = n + -0.02. Suppose 6*v + 16 = 2*v. What is the closest to 0.2 in -1, v, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 2*w**2 - 5*w + 1. Let b(j) = -4*j**2 + 10*j - 3. Let v(r) = 3*b(r) + 7*p(r). Suppose 3*u - 12 = 0, -y + 5*y - 20 = -u. What is v(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y - 5*t - 261 + 104 = -3*y, 7*t + 193 = -24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 11177a + 9?\nAnswer: 111788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 81*k - 154. Give c(4).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 732 is divided by 201.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -999 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 88 and 544.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uaap when four letters picked without replacement from dapauuddupapa?\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*g + 4*g - 3*g)*(g + 4*g - 4*g - 6 - 7*g + 6 + (1 + 2 - 2)*(-2 + 2 - g) - 3*g - 2*g + 4*g) + (2*g - 3 + 3)*(2*g - 1 + 1).\nAnswer: 68*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 13944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12080*l**3 - 1999*l**3 - 2057*l**3 - 1998*l**3 - 2007*l**3 - 2008*l**3 - 2007*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 r, 1 k, and 1 v when four letters picked without replacement from lklrvkkbuvbb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**3 - u**2 - 7*u + 1. Let n be r(-6). Let d = -149 - n. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 5*q - 89 = 0, q + 4*q = -2*g - 119. Let v(p) = p**2 - 2*p - 9. Let b be v(-10). Let k = g + b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 175 + -175.3. What is the third smallest value in 12, -10, z?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/13546548 and 28\/387.\nAnswer: 13546548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the first derivative of -3*w**6\/40 - w**5\/15 - 7*w**3 + 18. Let m(s) be the third derivative of p(s). Find the second derivative of m(b) wrt b.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -32179348*b**4 - 9060331?\nAnswer: -128717392*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -69738, -278952, -627642, -1115808, -1743450?\n\"Answer: -69738*z**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -5529 (b) 0.13 (c) 1\/19 (d) -2\/7 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -117.7 - -125. Let f = 7 - j. Let n = f + 0.1. Is n >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is p in 90*p**4 - 22585*p**3 + 1512455*p**2 - 11775115*p - 658845 = 0?\nAnswer: -1\/18, 9, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 870997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -5, -4, 2, -215 in descending order.\nAnswer: 6, 2, -4, -5, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 13 and 72540.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1017679255 to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is (910 + 1)\/((-684)\/99 - -7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 5*u + 1. Suppose x + x = 12. Let k be y(x). Calculate the greatest common divisor of k and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4378*p**3*z**2 + 186*p**3*z - 4*p*z + 3 wrt z?\nAnswer: -8756*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -a584 - -28?\nAnswer: -a557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*y + 0*y + 0*y - 2*y - 4*y + 3*y + (-2 - y + 2)*(-2 + 0 + 1) + y + y - 3*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 11*u**2 - u**3 + 6610*u - 6599*u + 9*u**3. Let q(r) = -4*r**3 - 6*r**2 - 6*r. Let p = -59 + 48. Calculate p*q(z) - 6*d(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 563497346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6145, -6180, -6245, -6346, -6489?\nAnswer: -6680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -35 - (-119 - -46) - 25\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -2566092 by 6.\nAnswer: -427682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2*c**2 - 2*c**2 + 5*c**2)*(-4 - 4 + 1) - c**2 + 3 - 3 + 2*c**2 + 0*c**2 + 0*c**2)*(-1 - 2*c + 1) + (95*c + 78*c - 203*c)*(-2 + 2*c**2 + 2).\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 14018 and 278.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be 9*6\/9 - 1. Suppose 31*q - 52*q = 0. Suppose -u*b - 2*i + 103 = q, 4*i + 38 = 3*b - 29. What is the remainder when b is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.32 minus -103?\nAnswer: 102.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 18*o**2 + 2*o - 1. Let a be (0 + 1)\/((-2)\/(-2)). Is 5 a factor of d(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 280 and 1540.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, f: 3, q: 2, p: 1}. What is prob of picking 1 q, 1 p, 1 f, and 1 l?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000013474 to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes after 9:30 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3983*a*c**3*m*z + 2*a*c**3*z - 2064024*a*c**2 - 20*a*c*m - 5*c**3 + 2*c*m*z wrt m.\nAnswer: 3983*a*c**3*z - 20*a*c + 2*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 11012222021022 (base 3) to base 14.\nAnswer: 42577c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4474 + -4258. Calculate the least common multiple of i and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -211, -213, -215, -217?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 98602.\nAnswer: 2, 7, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10 - (-3 + 1)) + -57 + 30 + 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 47256*p + 1.\nAnswer: -47256*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = -5*y + 2*y - 4267, -5*r + 3*y - 5327 = 0. Are -1066 and r nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 2*l**3 + 79*l**2 - 38*l + 109. Let t be x(-40). Are t and 113\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -s - r, 3*s + 1 = -2*r - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add together 19.9 and 695.0843341.\nAnswer: 714.9843341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2784843*a**3 - 4*a**2 - 13015?\nAnswer: -16709058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 132790366 is divided by 1826?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 667101 is divided by 133411?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2250566103?\nAnswer: 3, 15091, 49711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 + 1103?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -891 = -67*g - 556 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 5*s - 4*j - 35, 0 = s + 2*j + 8. Let x be (s - -2)*(-12)\/(-16). Solve 4*d - l = 11, 3*d + x = -5*l + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2991789567.\nAnswer: 3, 13, 8523617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15*y - 29*y + 11378 - 2094. Calculate the remainder when y is divided by 66.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 4*x**3 - x**2 + 2*x - 1. What is the remainder when 15 is divided by b(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 50, 40, 2, -76, -206?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 125 * -0.037\nAnswer: -4.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 221 + 189 - 459 - 3*h + 139 - 5*h**3 as y + t*h + a*h**3 + m*h**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6931 is divided by 184?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = u - 4*q + 13927000, 27854000 = -10*u + 8*u - q. Round u to the nearest 100000.\nAnswer: -13900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2637 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be (4 - 7) + -6*(-2)\/4. Suppose c = 2*h - 5*g + 9*g - 358, 5*g - 20 = 0. Suppose 4*t + 43 - h = 0. Calculate the highest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5 - 1. Find the first derivative of 5*v**2 - 5*v**2 - 4*v**b + 1 - 3 wrt v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -2*a - 48, -3*l = -45*a + 49*a - 107. Let m be 9\/(-5) + 2 - (-38)\/10. What is the highest common factor of l and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -6c - 92?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = 4*y - m, 5 = 7*m - 2*m. Suppose 0 = -y*q + 9*q - 5*d - 1, -35 = -5*q - 5*d. Solve 3*s + 12 = 4*k, -q*k + k + s + 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = 11*g + 71 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000050707996 to seven dps.\nAnswer: -0.0000507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 69338 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: Find the common denominator of -103\/6 and 22*39\/180 + 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l + 1. Let a(c) = -5*c - 10. What is -a(j) + o(j)?\nAnswer: 4*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -108\/2183 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, 2110, 1\/6, 5 in increasing order.\nAnswer: 1\/6, 5, 13, 2110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -2*v**3 - 3*v**2 + 7*v + 10. Let b be l(-2). Suppose -25*r + b = -0. Solve -2*f + 2*i - 12 = 0, r*f + 22 = -2*f + 4*i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 - 58 = -8*w. Suppose -3*g + r + 3099 - 1223 = 0, -w*g - r + 3140 = 0. List the prime factors of g.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z - 19. Let w be h(-9). Let b(p) = p + 1. Let g be b(-7). Let t be ((-44)\/g)\/(12\/(-18)). Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 140 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**3 - 1 + 0*v**2 - 5*v**2 + 5*v**2 - 13*v + 9*v**2. What is the remainder when 11 is divided by u(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 21742 and 8.\nAnswer: 21750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 3*c = -21, 5*d - 5*c + 76 = 201. Let s = 13 + -8. Solve 6 - d = -s*f + b, 2*b = f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1445 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 66 a factor of 581332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuuzuuuuz. Give prob of picking 2 z and 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -17025 minus 496.57?\nAnswer: -17521.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, 3, -30943, -5, 0.3.\nAnswer: -30943, -5, 0.3, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -1592 <= 297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Subtract -166 from -55988795.4794.\nAnswer: -55988629.4794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 594 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 318 and 18391.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*w + w - 14 - 6*w + 0*w + 6*w.\nAnswer: -w - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 111*l - 29. Is q(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4940 and 595903555?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in 1059, -14, 58, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 352749 (base 11) in base 9?\nAnswer: 1043053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2880 and 84240.\nAnswer: 336960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 12395 and 5360.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71 = -3*o - 25. Let v = 61 + o. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**3 - 10*j**2 - 18*j. Let q(d) = -2*d**2 + d + 20. Let g be q(4). Let z be y(g). Suppose 0 = x + 25 - z. Which is smaller: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1679*g - 41732 + 3434 = -568*g + 362*g for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1608, -5891, -13030, -23025, -35876, -51583?\nAnswer: -70146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j + 19. Let s be (-1)\/1 - 411\/3. Let y = -95 - s. Calculate the remainder when y is divided by m(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from eeeeeeggegegggggggee.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 44 (base 6) to base 8.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 51132407*f*x**3 + 7564*x**3 + 5*x**2 + 5*x - 7 with respect to f.\nAnswer: 51132407*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1635*u - 6005456 = 1619*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 1 e when three letters picked without replacement from ttttakttkententtkaaw.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -0.0029 times -111669\nAnswer: 323.8401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b - 2*d - 12 = 0, 0 = -9*d + 12*d + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 - 3. Let m = -0.739 - -0.033. Let x = -0.406 - m. Which is the closest to 1? (a) x (b) t (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -13 + 38. Let n = d - -4. Suppose 2*p = n + 11. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -2*y - 34. Find the common denominator of (2 + -1)*42\/(-9) and (-3)\/(-21)*y\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 - (21 + -6 + -29) - 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1, 4\/3, 2, -63, -132?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -839 + 839 - 16*j**2.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -12936 by 3234.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8579 is divided by 1710?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -19 (base 10) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -722*p + 1412*p - 695*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 113 divide 49446870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 2*i**2 - 9*i - 2. Let h be s(5). Let n be h*42*(2 - 1). What is the highest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/15 - (-3712)\/160.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -630*h**2*q**2 - 1153*h**2*q - 278020*q**2 - 2*q + 5726 wrt q.\nAnswer: -1260*h**2 - 556040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 - 5*f**2 + 9*f - 4. Let n be o(2). Let s be (n\/(-28))\/((-14)\/49). Sort -4, -5\/4, s, 4 in ascending order.\nAnswer: -4, -5\/4, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 9*d + 2. Let r(b) = -10*b - 3. Let y(w) = -4*k(w) - 3*r(w). Suppose 17*u - 10*u = 3423. Let j = u - 492. Give y(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 218994 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -28, 11, -5, -79.\nAnswer: -79, -28, -5, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1084, -0.3, 1, -0.5, 2\/5, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**2. Let b(k) be the second derivative of -5*k**4\/12 - 62*k. What is b(q(j))?\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 3*i**2 + 32*i - 140. Let z be n(4). What is the greatest common divisor of 78 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -2*z**2 - 4*z - 2. Let c(w) = 4*w - 2. Let u be c(3). Let l be (-4)\/(-10) - (-186)\/(-15). Let v = u + l. Determine x(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-4))\/((-3969)\/1764)*-57.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17464 is divided by 72?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -274 = -4*g - 50. Let v(z) = 3 + 0 - 6*z + 2*z**2 + 4*z. Let p be v(2). Calculate the highest common factor of p and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000748 to six dps.\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 102 divided by 102?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/3 - (1239\/(-63) + 19). Does q = 2\/3339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/24*(-70290)\/(-710).\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(4\/5)\/r**(1\/3)*r**(2\/29)*r**15 assuming r is positive.\nAnswer: r**(6758\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Total of 10960 and 11.\nAnswer: 10971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*1*sqrt(66)\/sqrt(3)*-6)\/(sqrt(162)*-3 - sqrt(14)\/(sqrt(7)*1)).\nAnswer: -9*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 15447060 to the nearest integer?\nAnswer: 3930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 598, 1198, 1798, 2398, 2998?\nAnswer: 3598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s. Let q be c(4). Suppose 8 = q*w - 0. Solve -p - 15 = 3*k, -15 = 5*k - w*p + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9608 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = -307 - -312. Which is the smallest value? (a) s (b) -7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-48028)\/(-16))\/(-3*(-1)\/(-24)). Let a = -13624 - n. Round a to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l + 99 = 5*o - 8*l, -l - 59 = -3*o. Let n be (-4)\/8 + o\/8. Solve 0 = v + 3*v - 4*x - 16, -3*v + 10 = -n*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let a**5\/3 + 2*a**4\/3 - 771*a**3 - 13838*a**2\/3 - 25324*a\/3 - 4600 = 0. Calculate a.\nAnswer: -46, -3, -2, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -40 + 56. Suppose 0 = -4*c - 0 + v, -d = 5*c - 31. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -162 = -4*g - p, 55*p = -4*g + 57*p + 168. Solve -g*s = -28*s + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1616 (base 7) to base 9.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9\/14186468 or 1?\nAnswer: 9\/14186468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that 8*s**5 - 202*s**4 + 1394*s**3 - 1488*s**2 + 288*s = 0.\nAnswer: 0, 1\/4, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4012 - -4204. Calculate the greatest common factor of n and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1301 = -2*y + 13*v - 10*v, -5*y + 3224 = 2*v. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -103031 - 3000012?\nAnswer: -3103103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 20 = 2*k + 5*x, 3*k + 4*x = 16. Let l be (2 - 5) + (k - -18). Solve -4*u + m - 15 = 2*m, 3*m = l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, j: 2, x: 1}. What is prob of picking 1 r and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvjf. What is prob of picking 1 j and 2 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 57 - 14 - 19 + 4*n - 18 + 15*n.\nAnswer: 19*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -10*a + 3*a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -149\/7355124 and -91\/2162.\nAnswer: 7355124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.594 - 0.644. Let l = 13 + -18. What is the third smallest value in z, 2, -1\/2, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -2*(-5 + 90\/12). Let j(i) = 7*i + 37. Let h be j(t). Let p(q) = 3. Let a(x) = x - 2. Give h*p(c) + 3*a(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 77199.\nAnswer: 3, 25733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-20)\/3)\/((-134)\/(-603))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24 - ((-15576)\/110)\/(-6))\/(214\/10).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13866.\nAnswer: 2, 3, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(22)*-6)\/(sqrt(16)\/(sqrt(32) + sqrt(8))) + 1.\nAnswer: -18*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from vvjvvvvvvnvjvnnjvj.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 3*l + 358 + 109 = 0, 3*l = -4*o + 1913. Let i = o - 290. Suppose 2*r + 4*z - 58 = i, r - 115 = -4*z. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the first derivative of p**6\/810 + p**5\/54 - 2*p**3\/3 + 1. Let j(f) be the third derivative of r(f). Factor j(o).\nAnswer: 4*o*(o + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = -0*n - 4*n - 24, w + 19 = -3*n. Let f be -1*(-1)\/(-2)*(-34)\/85. What is the second smallest value in f, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-520)\/(-7) - (-4)\/(-14) is divided by ((-45)\/(-30) + 0)*150\/9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 2*b. Let a(c) = 331*c**2. Determine a(l(v)).\nAnswer: 1324*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 296433593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 2*w - 19. Suppose g - c = 364, -w*c - 397 - 1435 = -5*g. Calculate the greatest common divisor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -a8 (base 13) to base 8\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 520310 (base 8) to base 10\nAnswer: 172232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (p - 3*p + 0*p + (-2*p + 0 + 0)*(-1 + 3 + 4) + p + 4*p - 6*p)*(40 - 40 + 98*p**3).\nAnswer: -1470*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the second derivative of -d**6\/15 + 83*d**5\/20 - 75*d**2 - 505*d. Differentiate t(s) wrt s.\nAnswer: -8*s**3 + 249*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((a\/(a**5\/a))\/a*a)\/(a*a**(-4\/9)\/a*a))\/(((a**(-5\/6)\/a)\/a)\/a**(-9)))**(-2\/15) assuming a is positive.\nAnswer: a**(35\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i be 264\/20 + 4\/5. Suppose -9*s = -i*s + 15. What is the nearest to s in 0, 2\/19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes before 5:33 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 5757023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2947*l**5 + 3*l**4 + l**3 - 8*l**2 + 238*l - 9 wrt l.\nAnswer: -176820*l**2 + 72*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from mpbpmbapbgbgbpmpgag?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2 and 16726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2.57 + -2.5. Let z = 0.63 + 0.05. Let a = n + z. Round a to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes after 5:12 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:46 AM and 9:53 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 93964 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -2*q + 9. Let d(w) be the first derivative of -w**2\/2 + 12. Let z(s) = -5*s + 7. Let a(l) = -3*d(l) + z(l). Determine a(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -3*t**2 + 10*t + 5. Let o = -296 + 306. Let a(j) = 2*j**2 - 4*j - 2. Let f(g) = o*a(g) + 4*s(g). Let u(i) = 47*i. Calculate u(f(d)).\nAnswer: 376*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 21829 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 135390683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 + 9*d - 6. Let n be v(-10). Suppose -5*o - 3*p + 4*p = 15, n*o = 5*p - 33. Let c(g) = -8*g - 3. What is c(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in a**2 - 3*a**2 + 4*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - -11 - (-92 - -111).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*p + 54866 + 45124. Suppose 3*t - 5*t - 8001 = -r, 2*r = -5*t - p. What is t rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(21)\/(1*sqrt(21)\/sqrt(7))*5 + -5.\nAnswer: -5 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the second derivative of -x**3\/3 - 18*x. Let q(n) = 67*n**2 - 2*n + 2. Let h(w) = -w**2 - w + 1. Let v(c) = 2*h(c) - q(c). Give v(f(t)).\nAnswer: -276*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 42041331 - 0?\nAnswer: 42041331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 112*m**2 + 946*m + 394. Calculate f(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16792 - 476720855.1.\nAnswer: -476737647.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -162558 less than or equal to -162427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 4.142764 millimeters in meters?\nAnswer: 0.004142764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 549407.\nAnswer: 263, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from {x: 2, l: 1, i: 2, h: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11\/(-11))\/((-19)\/(-38))*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 1\/4, -3, 795, 0.1, -0.3 in decreasing order.\nAnswer: 795, 1\/4, 0.1, -0.3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 175766, 175768, 175770, 175772, 175774?\nAnswer: 175776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 + 0. Suppose a - d = -0*a. What is the third derivative of -x**3 + 2*x**2 + 2*x**a + x**3 - 3*x**3 wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*c - 20 = 6. Suppose c*z + f - 1178 = 0, -2*z = -30*f + 28*f - 1166. Calculate the remainder when z is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -48744 - -1511066\/31. Let r(v) be the third derivative of v**6\/120 + v**5\/10 + v**4\/6 - v**3 - v**2. Let i be r(-5). Is j less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least as big as -6\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the first derivative of -u**3\/3 - u**2\/2 + 20*u - 976. What is z(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -6*g**2. Let r(d) = 19*d**2. Calculate r(h(c)).\nAnswer: 684*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 298*q + 28*q + 8*q - 54*q + 216*q + 51*q.\nAnswer: 547*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32213266?\nAnswer: 2, 17, 947449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(11) - (sqrt(11) + sqrt(121)\/(sqrt(33)\/sqrt(3)))) - ((sqrt(11) + -1)*3 + sqrt(11)*-1 + 4))**2.\nAnswer: -24*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the third derivative of 0*k**5 + 2*k**2 - 1\/12*k**4 + 0*k - 21 - 7\/24*k**6 - k**3. Find the second derivative of b(o) wrt o.\nAnswer: -210*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 = 12*a - 93. Suppose 3*i + 23 - 92 = 0. What is the remainder when i is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 685 + -680. Solve -s = 2*x + 4*g + 7, 5*x + 3*g = -16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3035998\/(-5) + 6 + 320\/(-50). Round n to the nearest ten thousand.\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 706*o**2 + 1 - 3 + 1 + 2*o.\nAnswer: -706*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 79\/75 - -3887\/1650. Find the common denominator of n and -79\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**2 + 2*a. Let b be h(-2). Suppose 4*q - 30 = -j, q - 4*q + j + 26 = b. Solve 3*r - c - q = 0, 0 = -3*r + 5*c - 5 - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 146 and 500926?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b*b**49))\/b)\/b*b*b**(-4) assuming b is positive.\nAnswer: b**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xczxzczxttzzczz. Give prob of sequence cczc.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m**3 + 4*m**3 - 5*m**3)*(3*m + 4 - 4)*(-m + 513 - m - 232).\nAnswer: 6*m**5 - 843*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/862145 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0478 and -0.9.\nAnswer: -0.04302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 - -3. Suppose 0 = 2*l + d*v - 115, 0 = 4*l - v - v - 254. What is l rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 119470 is divided by 39810.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 8*s - 4 + 6*s**4 + 5 - 4*s - 6*s + 5*s**3 as d*s + t*s**2 + m*s**3 + q + u*s**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 42390 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the second derivative of y**4\/36 + 190*y**3\/9 + 379*y**2\/6 + 2181*y. Suppose p(x) = 0. What is x?\nAnswer: -379, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 t when three letters picked without replacement from tottetltoteox?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -55932, -55938, -55938, -55926, -55896, -55842?\n\"Answer: v**3 - 3*v**2 - 4*v - 55926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 19a (base 12) to base 14\nAnswer: 14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -2*t. Let a(c) = -742*c**2 + 106*c. Let d(j) = -7*j**2 - 23*j**2 - 27*j**2 + 8*j. Let s(n) = -4*a(n) + 53*d(n). What is s(h(y))?\nAnswer: -212*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 38*z**2. Let s(o) = 2*o - 5*o + 4*o - 2*o. Calculate s(b(m)).\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*b**3 + 2*b**3 + 0*b**3 + b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*f - 11061 - 28823 = 0. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 20 (b) -1 (c) 2\/9 (d) -6 (e) 5 (f) 3 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -699*y + 673*y = -442 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 12\/1*(-4)\/(-8) - 25. Which is bigger: -36 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -268 + 254.1. Round r to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/((-3)\/(-2)) + 0. Let t = -16 - -22. Let l(o) = 7 - i*o + o**2 - t + 8*o. Calculate l(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -46.2823 to 1 dp.\nAnswer: -46.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 21 and (-13)\/52*36 + 351\/3?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 20723 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.17 + -0.3. Let u = -0.08 + y. Let z = -0.12 - u. Round z to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 112061 + 24?\nAnswer: 112115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c + 2*t = 28, 5*c - 68 = 45960*t - 45966*t for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 236 or 118029\/500?\nAnswer: 118029\/500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 63\/21 - (6 - 13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (i + 0*i - 2*i)*(0 + 1 + 0) + 0*i - 5*i + 4*i + (-679 - 186 + 1977 + 4768)*(-2*i + 126 - 126) in the form k*i + g and give k.\nAnswer: -11762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 46*x**2 - 33455*x - 24027. Calculate u(728).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*y - 12 - 12. Suppose -3*w - y = k - 2*w, -4*k + 2*w = -6. What is the second smallest value in 3, -0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (392\/(-4410))\/((-2)\/(-5)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d**3 + 9*d**2 - d - 17. Suppose 0 = -5*a - 2*u + 34, 4 - 10 = -3*u. Is 7 a factor of j(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -12 (b) -0.062 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 108 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 70 - 71. Let v be 985\/(-65) + 4\/26. Let f be ((-2)\/(-4))\/((v\/20)\/3). Sort 0, f, 3, l in increasing order.\nAnswer: f, l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 3*f - 4. Suppose -86*u + 68*u = -54. What is s(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w**34*w**(-2\/71))**(-3\/8))**(-19))**(-8) assuming w is positive.\nAnswer: w**(-137484\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-seven fifths of a meter in millimeters?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 450213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*n, -52 = 2*d - 0*n + 4*n - 10 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 16*k**3 + k**2 - 2*k. Let i be 2\/6*3 + 0. Let o be n(i). Suppose -d + 3 = z + 4, 0 = 2*d + 5*z + 17. Solve d*w + w = -o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-180 - 17*r + 180 + (3 - 3 + 2*r)*(-6 + 4 + 0) + 6*r - 3*r - 2*r)*(-4*r**3 + 2*r**3 + 0*r**3).\nAnswer: 40*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -12*q**3 + q**2 + 2*q. Let x be t(-1). Suppose g + k = 3*k + x, k = -3*g + 61. Is g less than or equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 - 4766046?\nAnswer: -4766051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-11)\/(-4) + -3)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2 - -10. Let d = x + 4. Let o(n) = -10854 - 11*n + 4*n**2 - 3*n**2 + 10838. Determine o(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 + -3. Let v be 4 + l + 0 - -1. Suppose 2*q + v = -2*p - 4, 5*p + 8 = -2*q. Do 1\/5 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14289 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -29*d - 3. What is q(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1125\/150)\/(333\/72 - 5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4100 + 1897 = 3*z + 1974. Solve -30 = 1331*q - z*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 225086 is divided by 1032.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25010609.\nAnswer: 13, 1923893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 39125 divided by 21052?\nAnswer: 39125\/21052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 12.7 (b) 2 (c) 4\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1469\/1722 - 1\/246. Suppose 3*f = 4*f + 3*p + 10, -20 = 5*f + 5*p. Do n and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 764, 370, -470, -1762, -3512, -5726, -8410, -11570?\nAnswer: -15212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the third derivative of -9*l**6\/40 + 7*l**5\/20 + l**4\/4 - 16*l**2. Factor s(u).\nAnswer: -3*u*(u - 1)*(9*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y, 1 n, and 1 s when three letters picked without replacement from {y: 1, s: 4, n: 2}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 421.9475kg in milligrams?\nAnswer: 421947500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 - -23. Let n be (-4)\/y - (-536)\/(-18). Is (-113)\/(-6) - 5\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2373?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105 + 55 = -5*t. Let z = 70 + -1. Let b = t + z. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s + 2. Suppose -y = y. Let f be j(y). Let h(o) = 0*o**3 + o**3 - f + 3. What is h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*s + 462 = -15*s. What is s rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 4, m: 1, y: 3, i: 10}. What is prob of picking 2 y?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the second derivative of -y**3\/3 - 62*y. Let o(r) = -5*r**2 + 34. Calculate o(a(d)).\nAnswer: -20*d**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 600, 421, 122, -297, -836?\nAnswer: -1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(96)*1)\/(sqrt(8) - (sqrt(8) + sqrt(8)*2)*3))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 22010122210 (base 3) in base 6?\nAnswer: 3233203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3412\/(-12)*2*(-15)\/10 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -92.5 - -62.2. Let z = x - -30. Let a = -0.23 + -0.27. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**2 + 401280*l - 20128204800.\nAnswer: -2*(l - 100320)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3299 - 3303. Let t = -1955\/12 + 163. Let f = 7\/12 + t. What is the second smallest value in f, c, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -41*m + 4. Let g be q(-18). Let n = -505 + g. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/(y\/y**(2\/9)))\/y**12*y**(-9)\/y*(y\/(y\/y**5))\/y*y*y)**(-8))**(-28) assuming y is positive.\nAnswer: y**(-31808\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2546129 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2 + 10\/4)*4\/2. Let s = 3 - 7\/3. Is s <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-291)\/21 + -3 - -17.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**2 - 12*v - 14. Let n(u) = u**3 - 4*u**2. Let o = -28 + 30. Let x be n(o). Let k be r(x). What is the greatest common factor of 12 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8 - 8.6. Let r = -2.4 + m. Which is the third biggest value? (a) -3\/5 (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 + 10*c**2 + 5*c - 27. Give f(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*b + 44*b**2 + 20*b - 22*b + 29*b**2.\nAnswer: 73*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a - 2*a = 182. Let o = a - -133. Suppose 5*n - 38 - o = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -676 + 671. Does -58\/15 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v\/(v*v\/(v*v\/(v*v**(-5)*v)))*v*((v**(-11)*v)\/v)\/v*v assuming v is positive.\nAnswer: v**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*s + 66*s + 3582 + 2145 = -197*s for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 8965340 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 135265 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 134171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -5*j + 17. Let o be t(4). Let l(p) be the first derivative of 10*p**3\/3 - p**2 - 3*p - 2. What are the prime factors of l(o)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-65)\/13 + (2 - (-109 - 3)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11.3 + 11. Let p = -0.6 - f. Which is the closest to -1? (a) 2 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -2746, -1716, -670, 398, 1494, 2624, 3794?\n\"Answer: a**3 + 2*a**2 + 1017*a - 3766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 11*n + 13. Calculate the remainder when o(6) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1009 - 996. Solve -7*j + 3*j = -3*l + 26, -l = 3*j + q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(52) + 4 + sqrt(1872) + 0.\nAnswer: 4 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4694757?\nAnswer: 3, 67, 23357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -62 - -65. Suppose -z = 2*k - 5. Solve 0 = -b + k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11536.28l in millilitres?\nAnswer: 11536280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -5*f**3 + f**2 + 51*f + 51. What is t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 78 - 79 = -2*j + p, 0 = -4*j + 3*p - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 8.48 (b) 1.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 7, 0.02, -3\/7, 1, 2\/13?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51 = 5*r + 446. List the prime factors of r\/(-9) - 2\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 24, -4, -5 in increasing order.\nAnswer: -5, -4, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 9\/22154 and 73\/113404312.\nAnswer: 1247447432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1479932 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the first derivative of g**6\/14 + 33*g**5\/35 + 129*g**4\/28 + 73*g**3\/7 + 12*g**2 + 48*g\/7 + 20. Factor l(k).\nAnswer: 3*(k + 1)**3*(k + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -80274, -160487, -240618, -320625, -400466?\n\"Answer: 7*c**3 - c**2 - 80259*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the third derivative of -31*l**8\/112 + 7*l**5\/6 - 6*l**2 + 10. Find the third derivative of n(o) wrt o.\nAnswer: -5580*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7675 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: Simplify d**(-8\/7)\/d**(-14) assuming d is positive.\nAnswer: d**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f**3 + 3*f**2 + 2*f - 6. Let l be x(3). Suppose -6*u - 7*u = l. Let n(i) = i + 1. Let k be n(1). Solve -k*s + 8 = -v, 2*s = -u*s - 2*v + 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2198 plus 2200057551?\nAnswer: 2200059749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 466823 is divided by 14588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is c in -c**4\/4 - c**3\/4 + 4*c**2 + c - 12 = 0?\nAnswer: -4, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Subtract 96.44 from -0.24.\nAnswer: -96.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 77781*y**6 - 56038*y**2.\nAnswer: 9333720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*y + 5*h + 39, -2*y + 3*h + 9 = -8. What is the remainder when 127 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 18 = h. Let l(t) = 2*t. Let y be l(h). Let j(o) = 6*o - y*o + 0*o + 0*o. Let a(p) = 2*p**2. What is j(a(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**2 + 15*i - 4. Let u be k(13). Let n = u + -20. Suppose 4*o = -n*o + 204. What is the remainder when o is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -3*z**2 - 7*z + 6. What is x(3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s**5 + 528*s**4 + 1938*s**3 - 37652*s**2 - 191184*s - 224640 = 0. What is s?\nAnswer: -260, -8, -3, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 68*q**3 - 3*q**2 + 318*q + 312. What is h(-1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**3 + 35*y**2 + 31*y - 172. What are the prime factors of k(20)?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1368727376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1219308 and 3612?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 49608991 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 43337 and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that g**5\/9 - 2*g**4\/9 - g**3\/9 + 2*g**2\/9 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -33147489 divided by 10513\nAnswer: -3153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-105)\/12 + 0 - -2. Let x = -7 - d. Suppose 5*o = -5*m + 20, -4*m + 3*o - 4*o + 7 = 0. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.78173km to nanometers.\nAnswer: 5781730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 152211.\nAnswer: 3, 113, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -8, -15, -22, -29?\n\"Answer: -7*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 47 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the second derivative of 0 + 0*y**2 + 0*y**7 + 0*y**6 - 1\/12*y**4 + 1\/14*y**8 + 0*y**5 + 0*y**3 + 2*y. What is the third derivative of z(q) wrt q?\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3185*x + 3095*x + 540 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 33764, 67533, 101302?\n\"Answer: 33769*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s + 1. Suppose -3*u - 15 = 5*r - u, 2*r - 5*u - 23 = 0. Let h be o(r). Solve -4*i + 1 + 15 = h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3 + 5. Let y(j) = -3 + 2 + 5*j + 4 + j**b. List the prime factors of y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xjz when three letters picked without replacement from zttjxxtxtxjjdz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 181 minutes before 2:57 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(10\/3))**(2\/103)\/((j*j\/(j*j*j**(2\/67)*j*j))\/(j*j**(-1\/10))) assuming j is positive.\nAnswer: j**(619967\/207030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**3 - 7*m**2 + 6*m + 4. Let l be t(6). Let j(w) = -2*w - w**3 + 5*w**2 + l + 5 - 4. Give j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 1\/(4*2\/184)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(3 + ((sqrt(1377) - (1 + sqrt(1377) + 0))*2 - -5*sqrt(1377)*-1*6)**2)*1.\nAnswer: 3240*sqrt(17) + 3717921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 53\/5 of a millennium in years?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26520.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-75)\/(-2) + 16\/(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**3 + 8*j**2 - 7*j + 3. Let k be a(7). Suppose k*q = -2*q + 20. Suppose -q*i - 233 = -4*v + v, 5*v = -i + 419. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.53 minus 3.2658281894?\nAnswer: -1.7358281894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3)\/(0\/3 + -1). Let o be (-1 - (-5)\/2)*-18. Let x = -26 - o. What is the third smallest value in l, x, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 137, 136, 135, 134, 133, 132?\n\"Answer: -h + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000298751004 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q**2 + 0*q + 0*q + (3 - 5 + 4)*(-2*q**2 + 1 - 1))*(0 + 2 - 4).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -132 + 132 + 1274*d**2.\nAnswer: 1274*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 85129, 170238, 255347?\n\"Answer: 85109*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -484a6 (base 15) to base 2.\nAnswer: -111000010010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 + 15*w**2 + 7*w + 13. Is u(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + 2*n + 210, -3*m = 6*n - n - 608. Let h = m - 206. Solve -3*i + 5*i + 10 = h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -476 (b) 662\/11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2079088 and 12848?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 8, p: 1, v: 8, l: 1}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lpl when three letters picked without replacement from lpllllllllpllllllll?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (825*k + 991*k + 2451*k)*((3*k + 3*k - 5*k)*(2 - 2 + k) - 2*k**2 + 4*k**2 + 0*k**2) to the form u*k**2 + x*k + j*k**3 + s and give j.\nAnswer: 12801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 + 20 = 5*g + 2*w, g + 2*w - 15 = 0. Suppose 3*n = -g - 7. List the prime factors of 16 - n - (-6)\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2*3\/(-2) - 34. Let t(g) = -g**3 - 4*g**2 + 3. Let z be t(-3). Let q = z - a. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2 + (-52)\/(-65))\/((-1)\/(-15)). Suppose 2*n + o = i, 5*n - 92 = -3*i + 67. Calculate the smallest common multiple of 72 and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*u**3 - 52848*u**2 - 105648*u + 422720 = 0. Calculate u.\nAnswer: -13210, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:22 AM and 11:35 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 76385452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sns when three letters picked without replacement from nsnsssnbssbf.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1246 divided by 7?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -2.430642 rounded to 2 decimal places?\nAnswer: -2.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k + 3*k + 16. Let o(n) = -n + 9. Let t(u) = u - 10. Let r(q) = 6*o(q) + 5*t(q). Calculate the lowest common multiple of r(-3) and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.1 + -0.7. Let w = 0.6 + n. Which is the closest to -2? (a) -4 (b) -1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -353*u + 290*u = -226800. What is the greatest common factor of u and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 78*s + 133*s + 147*s + 159*s + 78*s to p + z*s and give z.\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -123*l - 76. What are the prime factors of c(-21)?\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -147529226 * 0.2.\nAnswer: -29505845.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 483*w + 622*w = 1677*w + 2529*w - 229474 for w.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**3 + k**2 + 32. What are the prime factors of f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -4*x**2 + 22*x. Let o(y) = 19*y**2 - 3*y**2 - 8*y**2 - 2*y**2 - 7*y**2. Determine o(l(g)).\nAnswer: -16*g**4 + 176*g**3 - 484*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (14 - -8) + 19 + -57?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2185 + 8b?\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 60 = 3*a. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15904418260 rounded to the nearest one million?\nAnswer: -15904000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dmd when three letters picked without replacement from ddjm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 3 i when four letters picked without replacement from immmmiim?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21328 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**2 + 4*h + 12. Let t be m(6). Suppose 3*l + 2*l + 22080 = t. List the prime factors of l\/(-54) - (-4)\/18.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*t**3 + 44*t - 2*t**3 - 22*t - 22*t.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -4*t + 6. Let o(b) be the second derivative of -2*b**3\/3 + 5*b**2\/2 + 41291*b. Let q = -8 + 3. Calculate q*u(f) + 6*o(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 5*p = 2648, -7*y = -3*y - p - 3559. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, 2.2, 2\/3, 4\/5, 315 in increasing order.\nAnswer: 2\/3, 4\/5, 2.2, 12, 315","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Let r be 5\/((24\/4)\/6). Put 0, 9, r in ascending order.\nAnswer: 0, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7 - -2. Let v = -267 + 267. Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i**3 - 6*i**2 - 2. Let m be l(5). Let p = m - -51. What is the derivative of 22*x**4 + 11*x**4 + p + 16*x**4 - 15*x**4 wrt x?\nAnswer: 136*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 48 = y. Suppose -4*r + 12 = -l - y, 4*r - 16 = -l. Solve 3*n + c + 16 = 2*c, 5*c = -2*n - r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 3*i + 138, -2*r = -7*r + 4*i + 745. Let h = 296 + -196. Let s = r - h. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.12*22270\nAnswer: -2672.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 5, e: 5, j: 1, q: 2, m: 6}. What is prob of picking 2 q?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -11*f - 64 + 9*f + 14*f wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 12000110111022 (base 3) to base 7.\nAnswer: 31443335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31846005.\nAnswer: 3, 5, 707689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 236*i**3 - 11*i**3 - 61*i**3 + 2*i**3 - 45*i**3.\nAnswer: 121*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -27 + 26. Sort -8, j, 3, 5 in descending order.\nAnswer: 5, 3, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 7*n**3 - 5*n**2 - 6*n. Let q(b) = 5*b**3 - 4*b**2 - 6*b + 2. Let a(i) = -3*q(i) + 2*v(i). Calculate a(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o + 7. Let i be q(-5). Suppose 10*m = i*m - 136. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 22177366, 22177353, 22177326, 22177279, 22177206, 22177101, 22176958?\n\"Answer: -t**3 - t**2 - 3*t + 22177371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*k**5 - 39*k**4 - 162*k**3 - 120*k**2 + 672*k + 1152.\nAnswer: -3*(k - 2)*(k + 3)*(k + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(0 + -4 + sqrt(450)*-2 + 5) + 4)*6)**2.\nAnswer: -129600*sqrt(2) + 2336400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3701811*t**3 + 1317*t**4 + 2045 + 3701811*t**3 wrt t.\nAnswer: 5268*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-10)\/35)\/((-2)\/42). Suppose 5*j + 15 = 0, -j = 3*n - w*j - 27. Suppose 0*s - n*s = -172. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 227887837?\nAnswer: 67, 3401311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -10435*b - 3172. Is 50 a factor of y(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z - 3*v - 64, -z = -32*v + 28*v - 3. Suppose 0 = 4*x - 3*u - 183, -24*x + 2*u = -z*x - 227. Calculate the greatest common divisor of x and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 3\/2, 1, 1\/890, -0.4 in decreasing order.\nAnswer: 4, 3\/2, 1, 1\/890, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-49)\/(8918\/(-84))*(-104)\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 94597*z**2 + 398*z**3 - 94597*z**2.\nAnswer: 398*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -2*p - 11. Let y be t(8). Let c = 53 + y. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 7*u**2 - u + 2. Let t be o(1). Let y(q) = 25*q + 1. Let m be y(-2). Let k be -1 + -1 - (m + -1). What is the highest common divisor of k and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oouu. Give prob of picking 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 13 = -5. Let d(k) = -2*k**3 - 67*k**2 + 32*k - 56. Let h be d(-34). What is the units digit of (5 - (-669)\/h) + (-1)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/7, -1\/280, 2\/9, -72 in descending order.\nAnswer: 4\/7, 2\/9, -1\/280, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7.986 - -5.986. Suppose -f - 2 = -0*f. Which is the closest to f? (a) 2 (b) 2\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:45 AM and 12:20 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 + -350604?\nAnswer: -350600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 218 less than 1.0404357?\nAnswer: -216.9595643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 16*h**2\/5 + 8186*h\/5 + 954168\/5.\nAnswer: 2*(h + 332)*(8*h + 1437)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -12, -5, -1, -2.\nAnswer: -12, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -235*u - 263*u + 488*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*k**3 + 35*k - 37*k + 132 - 169 - k**2 - 6*k**2 to v*k + h*k**2 + d + i*k**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ifr. Give prob of sequence ir.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**2 - 30. Give k(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 32\/133 and -53\/49.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 9120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be 9\/((-126)\/40)*-7. Suppose a = -4*v + 2, -w = -2*a - 0*a - 4*v. Is 984\/a + (-2)\/3 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of ((-136)\/(-6))\/((-4)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2205324 + -14?\nAnswer: -2205341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 plus 37682324745?\nAnswer: 37682324745.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 1543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -2*x - 72. Let z be 3\/((-6)\/(-4)) - (-84)\/(-7 - -4). Give o(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 70603233 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(sqrt(33) + (sqrt(33) - sqrt(297))))\/(sqrt(99)*-5 + sqrt(11)) - (4 + ((sqrt(30)\/sqrt(2))\/sqrt(5))**2 + sqrt(3) + 5))*4.\nAnswer: -48 - 38*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 3 + -1 - -3 - 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 3*w**2 + 58*w - 33. Let s be o(-20). What is the smallest common multiple of 18 and 2\/42*-3 + 43\/s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z + 8*z - 148. Let k = -38 + z. Let l be (-4)\/(k + -3 + 2). Solve 0 = 2*b + 4 - l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 2)*(2*t - 6*t + 2*t) + (1 - 5 + 5)*(4*t - 2*t - t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does -72\/2763587 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (216\/(-16))\/((-243)\/(-108))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2ac41e (base 15) in base 9?\nAnswer: 3788542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (21\/700*-2)\/(12*7\/(-70))*6\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 52681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*g - 240 = -281*z + 280*z, -3*z + 60 = 4*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -344 + -1986?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 3*h**3 - 2*h + 1. Let r be s(1). Suppose r*v + 4 = -4*p - 2*v, 5*v + 41 = 4*p. What is the highest common factor of 44 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 779 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 0*c + 4 = 0. Let s = 14.05 - 14. What is the closest to c in s, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:34 PM and 9:24 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 4, t: 1, c: 5, x: 1, h: 9}. What is prob of picking 2 x and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -122*s + 28 = -118*s, -6*z + 32 = 2*s. Suppose x - 5*b = 22, b = 5*x - 2*x - 10. Let u(c) = c**2 - 1 + 0*c - x*c + c. What is u(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qxqxxqq. Give prob of picking 2 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -1749.067497 rounded to one decimal place?\nAnswer: -1749.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i = 133 + 53. Let k(a) = a**3 - 30*a**2 - 30*a - 30. Let y be k(i). Sort y, 3, -16.\nAnswer: -16, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 1380276 and 125050758.\nAnswer: 126431034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 330221220100 - -30?\nAnswer: 330221220130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.24? (a) -2\/35 (b) -2\/13 (c) -1 (d) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 66 divided by -551341?\nAnswer: -66\/551341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -292 + 651. Suppose 5*i = 4*l + 455, -5*i + l + 96 = -p. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 172 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 23 and 736.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 65232\/(-44847)*1*11\/(-2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*n = -2*n + 7*n - 9, -p + 18 = p - 8*n - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 39 + -32. Let f(l) = l**3 - 7*l**2 - l + 3. Let w be f(m). List the prime factors of 1\/w + 266\/8.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 211 at least as big as 213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -556 divided by -139.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c + 2. Let s be (76\/(-6))\/2 + (-1)\/(-3). Let a(l) = -l**3 - 5*l**2 + 7*l + 1. Let y be a(s). Calculate x(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((0 - 0) + 0)\/3. Suppose g = -5*t + 3*t + 334. Suppose 4*k - t = -5*x, 208 = 5*k - 3*x + 27. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 22 = 5*w - 17, 4*t + 2*w - 26 = 0. Suppose 4*o = -12, 3*m - t*m + o = -37. Solve 0 = 2*s + 3*s - b - m, -2*b + 14 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = 4*j - 154, 6*j - 246 = -3*x + 5*j. Suppose 0*a + 3*a + 4*k - x = 0, 3*a = -5*k + 82. Calculate the greatest common factor of a and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*s + 35 = 26*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(3\/6 - 145\/(-30)). Put s, 0.2, -2, 0 in increasing order.\nAnswer: -2, s, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -4 and 50203264874.\nAnswer: 50203264870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 211 + -239. Which is smaller: -23 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the first derivative of m**2\/2 + 5*m + 2. Let d be n(-7). What is the units digit of (-177)\/(-6) + d\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3027671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b + 2 - 3 = -31953*f + 31948*f, 0 = -b - 3*f - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c - 2*p + 6, 24 = 2*c + 2*c - 2*p. Suppose -c*i + 68 = 4*k, 3*k + 18 - 64 = -5*i. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -11*u. Let a(p) = 20023*p. What is l(a(k))?\nAnswer: -220253*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/(-30) - (-2980)\/(-1050)*-7. Solve -k = -18*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9860\/39 - 758\/3. What is the second biggest value in 29, -5\/3, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**2 + r - 5. What is u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 15? (a) 1 (b) -0.2 (c) 59 (d) -3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express b**3 + b + 2*b - 7*b + 42*b**2 + 2*b in the form m*b**2 + l*b + a*b**3 + g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y + 0*y + 4*y)*(50*y - 64300*y**2 + 32152*y**2 + 10 + 32150*y**2).\nAnswer: 4*y**3 + 100*y**2 + 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-25)\/(-50) + (-46)\/(-4). Let s = g - 3. Solve -x + s = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**2 - b + 1. Calculate k(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**3 + 5*b**2 - 2*b. Let s be h(3). Let k = 19 - 13. What is the greatest common divisor of k and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*-1*sqrt(117)*-2 + 2*(sqrt(13) + sqrt(39)\/sqrt(3) + 5)**2*4.\nAnswer: 130*sqrt(13) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 30 (base 6) in base 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -62*n + 5762. Let s be r(93). Let t = 1 - 5. Let v be 1\/4 + (-7)\/t. Which is the second biggest value? (a) v (b) -0.09 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 1 = -0. Let j be -2 + (5 - (-3 + 3)). Let v(b) = j - 4 + 5 - 3. Let q(u) = -u + 4. What is g*q(s) - 2*v(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2520?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1223525500 (base 6) in base 16?\nAnswer: d85cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1 - 1034213435.\nAnswer: -1034213435.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xhox when four letters picked without replacement from {x: 3, o: 2, u: 2, h: 6}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 382413 is divided by 54627.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 + 33*w**2 + 163*w**2 - 323*w**2 + 3*w + 161*w**2 + 5*w**2 - w**2 - 3*w**2 + (6*w - 3*w - 5*w)*(2*w - 6*w + 2*w).\nAnswer: 39*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 12420321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hrixr. Give prob of picking 1 i and 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 52*m + 598. Let w be t(-19). Is w < -387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 212747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 14, 42, 56, 50, 18?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(-1\/7))\/y**(-5)*(y\/(y*y**(1\/4)))**(5\/16) assuming y is positive.\nAnswer: y**(2589\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-3498)\/(-18) - (-2)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/5, -28\/41, 1, 2\/143, 0.1 in ascending order.\nAnswer: -28\/41, 2\/143, 0.1, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the second derivative of 19*i**5\/20 - 15*i**2\/2 - i + 1. Differentiate d(s) with respect to s.\nAnswer: 57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5129 and 2007.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -13 minus 402767916.282?\nAnswer: -402767929.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((3*sqrt(77) + sqrt(77))*5)\/(sqrt(42)\/(sqrt(6)*2)) - ((-5 + (sqrt(539) - sqrt(539)*1))*2 + 2))**2.\nAnswer: 640*sqrt(11) + 17664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -8*i**3 - 2*i**2 + 3*i + 3. Let x be w(-1). Solve -5*g - 11 + x = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 35.5 + -35.717. Let y = m - 91.783. Let t = y - -92.0000172. What is t rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -22*a + 26*a - 5*u, 50 = 8*a + 2*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be -24*6\/(120\/(-35)). What is the third smallest value in 0.2, -1, a, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -143992, -288057, -432118, -576175?\nAnswer: -720228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -4087.1 times 0.11\nAnswer: -449.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, -15, 1\/16, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 116 - 44 = 0. Let s be k\/80 + 224\/10. Which is smaller: 21 or s?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3174247707 to the nearest 1000000.\nAnswer: -3174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (-3896*z + 2 + 310*z - 2)*(-5*z + 2*z - 2*z) as w*z + j + y*z**2 and give y.\nAnswer: 17930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 223*d - 2270 - 3305 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1347611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 6 + 2 + 37378 + 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 12 and -81332?\nAnswer: 81344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-5)*360\/160*4\/6.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 10010000001011000010 (base 2) in base 14?\nAnswer: 1152ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**3 + a**2 + 3*a + 4. Let h be i(0). Suppose 56 = 4*r - 4*m, -3*r - 4*m = -6*r + 47. Suppose -p + 0*p + r = 0. Solve -h*n = -7*n - p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 8.091 from 5.4577974.\nAnswer: -2.6332026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s - 3. Let y be (-27)\/(-6)*(-8)\/(-6). Let n be p(y). Which is smaller: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 313930*p**5 - 57*p**3 - 7317*p**2 - 994*p + 2.\nAnswer: 18835800*p**2 - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2 - 27\/(-12))\/30. Let v(s) be the second derivative of 0 + 1\/48*s**4 + s + i*s**6 + 0*s**3 + 1\/40*s**5 + 0*s**2. Factor v(j).\nAnswer: j**2*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 196 + -200. Let r(c) = -4*c**3 - c**2 + 6*c + 6. Let s be r(-1). Put -3\/10, s, l, 0.1 in descending order.\nAnswer: s, 0.1, -3\/10, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000137 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -4*y + 0*y - 164 + 158. Give c(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 8. Let v(l) = -l - 12. Let r(c) = 3*d(c) + 2*v(c). Let x(k) = 9*k - 8. Calculate x(r(n)).\nAnswer: -18*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -3469*a + 11301. What is the ten thousands digit of h(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3480 and 3248?\nAnswer: 48720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the third derivative of -1\/360*a**5 + 3*a**2 + 0 - 1\/144*a**4 + 0*a + 0*a**3. Determine n, given that i(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes after 12:15 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 15022*o + 77622 wrt o.\nAnswer: 15022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*r + 29 = -5. Suppose -r*y = 2*q - 14, 3*y - 3*q = -8*q + 31. Solve 3*v = -h - 20, 0*v = y*v - h + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -229 + 226. Sort 4\/7, 0.3, k, 0.2 in decreasing order.\nAnswer: 4\/7, 0.3, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 993 plus -651?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -5470*h - 328188. Let w(m) = 2*m**2 - 2*m + 4. Calculate the lowest common multiple of w(4) and k(-60).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 40695 - -31a?\nAnswer: 409b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1170107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 + (-143)\/(-182) + 36\/168.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 36, -2355, -1 in decreasing order.\nAnswer: 36, -1, -2355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(132) - (-2*sqrt(132) + sqrt(132)))*5*3)\/(sqrt(192)*-1*1 + 2*sqrt(192)*2).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 8190, 8195, 8196, 8193, 8186, 8175?\n\"Answer: -2*u**2 + 11*u + 8181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**3 - 5*s**2 - 750*s - 2246. Give a(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 47612670 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y + 10. Let n be b(9). Let t be n*8 - (-3 - -5). Suppose -k = 2*k. Solve -2*f = -k*f + t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8940.462 + 8952. Round o to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 928.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (((-12)\/2)\/(-6))\/(1\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(1\/25)*n**(-8\/5)*n*(n**(-3))**(-6\/19) assuming n is positive.\nAnswer: n**(184\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) be the third derivative of k**6\/120 - 13*k**5\/60 - k**4\/2 - 23*k**3\/6 + 44*k**2 + 21. What is v(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 30 and 1110.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 0 + (-15799)\/(-4) + 4\/16.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 229912161?\nAnswer: 3, 76637387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3456, 3446, 3422, 3378, 3308?\nAnswer: 3206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/6 in 3\/7, -4, -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 512046856 to the power of 1\/2, to the nearest integer?\nAnswer: 22628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-191 - 5)*(-432)\/(-11232)*(-26)\/(-4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/105 and -74\/33.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be (3\/6)\/(1\/(-26)). Let g = -5 - m. Let a = g - 11. Is -4 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2*y**2)*(-5 + 4 + 5) - 7229*y - 7233*y - 7232*y - 238*y**2 + 1 + 21690*y.\nAnswer: -246*y**2 - 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kko when three letters picked without replacement from {k: 11, o: 3}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 2*b - 20. Let p be q(15). Let n = 13 - p. Let x(g) = -g**2 + 10*g - 9. Let c be x(7). Solve c = n*y + y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**3 + 874*y**2 + 926*y + 54. Determine r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 30 = 5*m, m - 2*m - 4 = -3*a. Let u be (m - -7)\/(2\/1). Suppose 2*v + v = u. Sort 3, v, -1 in increasing order.\nAnswer: -1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -829*h + 1331 = 543 - 870 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -48034661*t. Let r(a) = a. What is r(b(i))?\nAnswer: -48034661*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1570 + -1623 + 0 + 0.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the second derivative of -3*y + 1\/3*y**3 + 1\/20*y**5 + 0 - 3\/2*y**2 - 1\/4*y**4. Calculate the remainder when 4 is divided by k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 83 - 29 = 0. Suppose -4*v = -4*t - p, -t + 18 = 2*v - 5*t. Suppose 26702 - 176702 = v*n. What is n rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1376 = -4*z - 7*p + 5*p, -z + 339 = 3*p. Let b be ((-12)\/14)\/(z\/70 + -5). Solve -5*c - b = -2*x, -6*c + c = -5*x + 15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -385 - 65 = -14*h - 156 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2021 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -224313 (base 5) to base 13.\nAnswer: -38aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = 3*h + 1 - 0, 2*l + 5*h + 11 = 0. Let q be (-3)\/(-2 - -8)*-6. Suppose -q*y + 19 = -l*y. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 7*l + 0)*(-2*l - l + 2*l).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**3 - 9*g**2 - 10*g. Let p be l(10). Find the second derivative of h - 2*h + 3*h + p*h**2 - 3*h**2 wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -h**3*r - 3*h**3 - 607*h**2*r - 500*h**2 - 2676*h + 1474*r + 3 wrt h?\nAnswer: -6*h*r - 18*h - 1214*r - 1000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*z - 37 - 3 = 0. Suppose -3*g = -4*l - 2*g + 51, 21 = 2*l - z*g. Calculate the remainder when 33 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 218*p = 4*c + 908, 5*p = -51*c + 55*c + 56 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -4*x**3 + 0*x**3 + 2 + 5*x**3 - 6 as n*x**3 + s + p*x**2 + t*x and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 128 + -124. Which is the nearest to -2? (a) 0 (b) 0.3 (c) 2\/11 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14.5 times -2.324809?\nAnswer: 33.7097305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4571 + -2139. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -5\/3 (b) 1\/7 (c) -10.8 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 14*o + 240. Let p be (0 + 1)*(-119)\/7. Let i be j(p). Solve 4*k - 3*m + 1 = 0, 2*k + i*k = -4*m - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1560 and 975?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m + 7. Let z be 57\/9 - (-2)\/(-6). Let q be x(z). Let a = 0.3 + -0.4. What is the closest to q in a, 5, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/10 and 109\/8190?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.6*-16723.\nAnswer: -10033.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -220122212330 - -13?\nAnswer: -220122212311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 52, 244, -4 in decreasing order.\nAnswer: 244, 52, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19*v**4 + 2*v - 19*v**4 + 1 + 3*v**2 - 2*v**3 + v**3 + v**4 to m + c*v + p*v**4 + l*v**2 + a*v**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*c - 2 + 2)*(1 - 9 + 6) + c - 6*c + 4*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 5 = 3*g - 3*h, 13 = 4*g + h. Suppose 3*p - g = 3. Find the second derivative of -32*t**5 - t**p + t + t**2 + 29*t**5 wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1711, 5, -1, -4 in decreasing order.\nAnswer: 5, -1, -4, -1711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -17793, -35597, -53381, -71145, -88889, -106613?\n\"Answer: 10*h**2 - 17834*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1429, -0.54, 6.1?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -3*x**3 - x**2 - 4*x - 22. Calculate the remainder when 76 is divided by g(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 65 + -66. Let j be 22 + (-4 + 6)*f. What is the greatest common divisor of 15 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -2*d**2 + 14*d + 4. Let p be f(7). Suppose -5*v + 2 = -2*v - w, -4*v = -2*w - p. Sort -5, v, 1.5.\nAnswer: -5, v, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 6 = 3*h - 0*h, 5*v - 4 = -2*h. Let u(b) = -b**3 + 2*b**2 - b - 2. What is u(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 10*o - 3. Let s be m(3). Suppose 5*p - s + 22 = 0. Calculate the smallest common multiple of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -35186 + 35199.0628. Let k = 0.0628 - x. Which is bigger: k or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 863 - 1615. Let g = -434 - c. Let v = -294.9 + g. Round v to 0 dps.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1237 and 0.27.\nAnswer: 333.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(65)*1)\/(sqrt(125)*-2).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 6 + 75*s - 6 + 1 - 2*s**2.\nAnswer: -2*s**2 + 75*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (53\/901)\/((-2)\/4)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 270, 0, -4, -8, 2?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3868 + 1835 = 676*t + 971 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -15*p + 11*p - 552. Let h = p - -234. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + (sqrt(77)*1 - sqrt(77)) - sqrt(77))*-1)\/((sqrt(7) - 2*sqrt(7) - sqrt(7))*-3))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 15214 (b) 1\/6 (c) -1 (d) 4 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12*c**4 + 8*c**4 + 2*c**5 + 2*c**5 - 25*c**4 + 50*c wrt c?\nAnswer: 80*c**3 - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:01 PM and 7:28 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u - 1. Let k be x(1). Suppose k = -0*w - w + 98. Suppose 39*v = -31*v - 92*v + 39690. Calculate the highest common divisor of v and w.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14094 divided by 3.\nAnswer: -4698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 486.35 + -490. Let f = 3.85 + q. What is the nearest to -2\/3 in f, 0.1, -13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 836*h - 3278. Give r(4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 17838456 and 8.\nAnswer: 17838456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 2*b = -4*a - 23, 2*a + 1 = -b. Is (4 - (-2570)\/15)*b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 274 minutes after 5:30 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6021145868.\nAnswer: 2, 631, 1153, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1876050 divided by -825?\nAnswer: -2274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -469 smaller than -472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be (14 - 13)*(4 + -1). Let -36*m + 8*m**j - 20*m**2 + 2*m**3 + 5*m**4 - 4*m = 0. What is m?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2697 + 7007?\nAnswer: 4640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -4*m + 22. Let x be j(5). Solve -g - 2*l = 3, 2*g - 3*g = 3*l + x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(78)*3)\/(sqrt(18)\/sqrt(3)*3 - sqrt(6)) + -3.\nAnswer: -3 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 2*sqrt(567))**2 - sqrt(77)\/(-4*sqrt(99)) - (0 + -2*sqrt(7)*2 + sqrt(847)*-2 + -4).\nAnswer: -1847*sqrt(7)\/12 + 2297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16 + 42 + -2 + -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 6*n - 127. What is x(-33)?\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * -1663.\nAnswer: 831.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -12 + 21. Let q = z + -6. Differentiate 1 - 2 - q*a**2 - 1 with respect to a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -8 + 8.9. Let y = l + 0.1. Let g = 11.481 + -15.481. Sort g, y, -3\/4.\nAnswer: g, -3\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u**6\/u))**(-22)\/(u\/((u*u**(-7))\/u)*u)**13 assuming u is positive.\nAnswer: u**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2366052102?\nAnswer: 2, 3, 19, 59, 117259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 697292515 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a**2 - 12*a + 16. Let o be x(12). Find the third derivative of 33 - o - 17 + 52*r**3 - r**2 + r wrt r.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4486\/65 smaller than 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-12 - -7 - -17) + 4 + 6\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9 at least -5523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the third derivative of -d**8\/6720 - d**5\/60 - d**4\/6 + 3*d**2. Let z(k) be the second derivative of f(k). Find the first derivative of z(o) wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 369.0085 rounded to the nearest 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify s*s**(-4\/5)*(s\/(s*s**(-1))*s)\/s*(s**(-1))**(-20)*((s*s**2)\/s)\/((s\/((s*s**2)\/s))\/s)*(s**2\/s)**15 assuming s is positive.\nAnswer: s**(201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-18*n**2 - 25*n**2 + 66*n**2 + 1)*(-5 + 18 + 5) to o + j*n + a*n**2 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -3*w - 4*j + 14, -8 = -4*j. Sort 1, 6, w.\nAnswer: 1, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/(-2) + 3\/3. Suppose 2 = d*w - w. Differentiate 1 + 3*j**2 + j**3 - 3*j**w with respect to j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*m**2*q - 34063*m**2*w - 4*m*o*q*w - 2*o*q + q*w - 49228*q wrt w?\nAnswer: -34063*m**2 - 4*m*o*q + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -2*m**2. Let i(w) = -12*w**2 - 6. Determine i(s(z)).\nAnswer: -48*z**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -377104.1 - -377104. Let f = -5 + 3. Which is the nearest to z? (a) 0.1 (b) -3 (c) -1 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3195 or -23?\nAnswer: -3195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 2, 4, 506, -20, -3, 53 in ascending order.\nAnswer: -20, -4, -3, 2, 4, 53, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -22 - -18. Let r = m + 1. Sort r, -1\/9, 1\/3 in descending order.\nAnswer: 1\/3, -1\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -119 = 4*a - 327. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*k**5\/5 - 44616*k**4\/5 - 13763908*k**3\/5 + 36942048*k**2\/5 - 24681024*k\/5 = 0. Calculate k.\nAnswer: -621, 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 261421667, 261421666, 261421665, 261421664?\n\"Answer: -h + 261421668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the third derivative of o**5\/60 + 97*o**4\/24 - 49*o**3\/3 - 968*o**2. Factor g(f).\nAnswer: (f - 1)*(f + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 23 - 25. What is the third smallest value in t, 0.05, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3585 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3 - -1. Let m(t) = -2*t - 1. Let a be m(b). Find the first derivative of -2 + 0*z**3 + 0 - 2*z**a wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(153)\/(sqrt(18)\/sqrt(2)) - sqrt(136)\/sqrt(128).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4280 in 5, 2.8, 2, -0.06, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 7830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -12 + 53*w**2 - 161*w**2 + 55*w**2 + 54*w**2 + 7*w. What is c(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -109, -114, -121, -130, -141?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 300083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 27\/123382 and 71\/158634.\nAnswer: 1110438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**3 - 5*s**2 + 2*s - 3. Determine j(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 6855 minus 8808?\nAnswer: -1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*b = 20*b + 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -63430830949\/690 + 91928787. Let l = 2\/345 + o. What is the common denominator of l and -13\/62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*y**3 + 95 + 2*y + 301*y**2 + 3*y**3 + 0*y - 302*y**2 + 2*y**3 as f*y + t*y**3 + z + x*y**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2 * 52.1\nAnswer: 104.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the second derivative of -b**6\/18 - b**5\/12 - 29*b + 1. Factor l(o).\nAnswer: -5*o**3*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 700 and 2450.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 2*w - 4. Let q be l(3). Suppose 0 = -q*k - k + 3. Let f = 28 + -27. Calculate the remainder when k is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3931 - 3931 - 1525*l to the form x*l + s and give x.\nAnswer: -1525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -3*n**4\/8 - 27*n**3\/4 - 231*n**2\/8 + 27*n + 243\/2 = 0. Calculate n.\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 + 0)*(-9)\/9. What is the second derivative of -8*l + 4*l**5 + l + k*l**5 wrt l?\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 56 = 9. Let k = b - -16. Suppose 0 = -k*l + 218 - 2588. What is l rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-11 - 16 - 17)*(2 + 0 + 0)*(25*c**4 - 138*c + 138*c) as p*c**2 + l*c**3 + a*c + j*c**4 + u and give j.\nAnswer: -2200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/11814 bigger than 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (32 + -4 - 1) + 59 + -135 + 61?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 2 = -2*x. Find the common denominator of -19\/12 and x\/4*(-534)\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-28136)\/35195)\/4 - (-1 + (-20)\/(-25)). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(3\/5)*u**5)\/((u*u**(-2))\/u**(-6)))\/((u**(-1))**(32\/7)\/(u**(-1)\/((u*u**(5\/6))\/u))) assuming u is positive.\nAnswer: u**(701\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 80 and 25360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 8007 = 3*j + 5636, -4*l = -3*j - 10918. What is the lowest common multiple of 8175 and l?\nAnswer: 8175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/8*18*(-2)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -1, -0.4, 37, 0.06, -1\/4 in increasing order.\nAnswer: -2, -1, -0.4, -1\/4, 0.06, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 49, 44, 37, 28, 17?\n\"Answer: -m**2 - 2*m + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (60\/(-32))\/((-96)\/(-512)). Suppose x + 19 = 2*x - 4*r, 3*x = 5*r + 29. Sort -4, x, s.\nAnswer: s, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 9 - 6. Is 15\/o*2*2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*s - 3*z + 703 + 458 = 0, 3*s - 399 = -5*z. Calculate the greatest common factor of 2368 and s.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 2*r**3 - 16*r**2 - 16*r - 15. Let f be m(9). Let d be (-1 - -1) + 12\/(-1). What are the prime factors of (4\/d)\/(f\/(-369))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12308945?\nAnswer: 5, 11, 163, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -c**3*l + 1208*c**3 - 4*c*l + 1 wrt l?\nAnswer: -c**3 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 14528, 14525, 14520, 14513, 14504, 14493, 14480?\n\"Answer: -h**2 + 14529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.5, 37, -7422\/37, -2\/7, 4?\nAnswer: -7422\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -54.18 - -54. Let a = 13.18 + d. What is the biggest value in 0.3, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -35.491 rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41*z**2 - 63*z**2 + 8*z**2 - 46*z**2.\nAnswer: -142*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((-2*sqrt(84)*1)\/sqrt(12))**2.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7535 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10933 - -10934. Is w != -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -46087\/882 + 5099\/98. Let m = -0.6 - -0.1. Which is the closest to 2\/5? (a) m (b) 0.3 (c) -1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 447? (a) 208 (b) 3.2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/15, 574, 0.4 in increasing order.\nAnswer: -1\/15, 0.4, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from pdiffmy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 734, 1477, 2220, 2963?\nAnswer: 3706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.2 (c) -3 (d) -15 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -47998201*h**4 - 53745747*h**2 wrt h?\nAnswer: -1151956824*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 55 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9\/(-99) - (-7)\/(-44)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -3088, -3424, -3758, -4090, -4420, -4748?\n\"Answer: t**2 - 339*t - 2750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 296, 2330, 7842, 18566, 36236, 62586, 99350, 148262?\nAnswer: 211056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**41\/(y*y*y*y**(1\/9)))\/((y\/(y*y\/(y**(-26)\/y)))\/((y*y**17)\/y)) assuming y is positive.\nAnswer: y**(746\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*i**3 - 6*i**3 + 2*i**3 + 5*i**3 - 12*i + 12*i + (-2*i + 0*i + 4*i)*(-i**2 + 2*i**2 + i**2).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the first derivative of -n**3 + n + 4. Let h be z(-1). Sort h, 0, 3.\nAnswer: h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (582\/970)\/((-1)\/3*18\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 235\/6 + -39. Which is the smallest value? (a) -3 (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11100001010 + 1011001011001000001?\nAnswer: 1011001110101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the second derivative of -l**5\/10 - 5*l**4\/12 - 5*l. Find the third derivative of s(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**3 + 6*g**2 + 4*g. Calculate the remainder when (40\/(-11) + 4)\/(32\/5104) is divided by k(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 3\/28, 0.1, -9, -4, -0.5, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 1344 = -4*s, 82*s - d - 1024 = 79*s. Is s a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 646 minutes after 7:15 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 182371399, 182371400, 182371401, 182371402, 182371403?\nAnswer: 182371404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be 17\/((-459)\/2)*(-6152)\/310. Let u = 174\/155 + m. What is the common denominator of -49\/18 and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (3 + (4 - 11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 34775*z - 143. Let j(d) = -966*d + 4. Calculate -143*j(b) - 4*w(b).\nAnswer: -962*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2952 - 1000724\/339. Let f = s + -4790\/3729. Find the common denominator of f and 91\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -19 - -6. Let d = -8 - l. Which is the closest to 0.1? (a) -2 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes before 5:47 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1694\/437 - 72\/19. Let y = -936 + 936.7. Which is the nearest to -1\/4? (a) -0.1 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (3\/(-36))\/((-2)\/(-52)). Let k = 11\/6 + l. Let v = 0.02 + 1.98. Which is the closest to -0.1? (a) v (b) 1\/2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3365610785?\nAnswer: 5, 17, 39595421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(605) + 1)*4.\nAnswer: 24 + 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(-7)*(-68306)\/(-5576).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 7*j + 36. Sort 6, -3, j in ascending order.\nAnswer: j, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 209905495 to the nearest integer?\nAnswer: 14488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 225374021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = 2*d - 114351, -592*c + 591*c = 4*d - 22845. Calculate the greatest common divisor of c and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1 + -2 + 30\/8. Let m = -5 - -4. Let o = -1 + m. Which is the closest to o? (a) i (b) -4 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + ((sqrt(85)\/sqrt(5))**2 + 3 - ((2 + sqrt(17))**2*5 + sqrt(17))))*3*1.\nAnswer: -267 - 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3955 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/(-3)*(-501)\/668?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -d - 2*i + 10, -5*d + 5*i - 8 = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -356.491 rounded to zero dps?\nAnswer: -356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -62*o = 4*w - 274, 40 = 725*o + 718*o - 1444*o - 5*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 19 or -8?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(1\/40)\/(s**(-3\/16)\/s*s))\/(s\/s**(2\/23))**(2\/21) assuming s is positive.\nAnswer: s**(231\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0\/(1\/(-1)))\/1. Suppose 4*d + d - 25 = n. Solve 0 = 2*c - 5*m + 20, 17 = 4*c + d*m - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 45 - 26. Let a = v - 7. Calculate the remainder when 23 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 122 - 123. Put -1\/5, -5, -1\/9, i in descending order.\nAnswer: -1\/9, -1\/5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tottttohotthhott.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 13056 and 33.\nAnswer: 143616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (604*a**2 + 688*a**2 + 378*a**2)*(-3 + 2 + 5*a - 4*a) to c*a**3 + k + g*a + r*a**2 and give r.\nAnswer: -1670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1\/30 - -22\/15. Let r = 9 - 5. Let y = 4.4 - r. Which is the second biggest value? (a) 2\/3 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 55291*y. Let x(z) = -14*z**2. Calculate l(x(m)).\nAnswer: -774074*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of g**3\/3 - 3. Let q be (4\/(-6))\/(1\/(-3)). Let v(m) = -q*m + 6*m - m. Give v(h(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -2*k + 4. Let s be n(3). Let u = -3.7 - -0.7. Let y = u - -3.3. Sort y, -1, s in increasing order.\nAnswer: s, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4 - -2. Solve 0 = f*h - 3*h - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4278.606 grams to milligrams.\nAnswer: 4278606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n + n + 48. Let u(w) = 3*w + 40. Let c be u(-14). Let t(g) = -8*g - 6. Calculate the smallest common multiple of t(c) and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2. Let f(v) be the first derivative of 0*v**2 + 2 + 0*v - 2\/3*v**3. Determine k(f(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1016263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 5*b**2 + 29*b - 49. Is i(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6.38 + -0.38. Is 0.2 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1062906701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -4*d**2 - 57*d + 95*d - 38*d + 39*d**2. Let i(f) = -f. Determine j(i(c)).\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5, -76, -301, -742, -1471?\nAnswer: -2560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -13*n*z**4 - 275*n*z**3 + 2*n*z**2 + 4*z**5 - 3*z**2 - 5651 wrt z?\nAnswer: -312*n*z - 1650*n + 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 2137a (base 13) to base 12\nAnswer: 2a81b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4873365 and 3056.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -2*u + 4. Let d(t) = -2*t - 2. Let y = 9 + -3. Suppose 2*k = -0 - y. Let m be d(k). What is g(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -309*y**4 + 7*y**3 + 7*y**2 - 7*y + 145. Let c(n) = -154*n**4 + 4*n**3 + 4*n**2 - 4*n + 72. Let t(g) = -7*c(g) + 4*u(g). Differentiate t(l) wrt l.\nAnswer: -632*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -5*o + 1. Let t(i) = -4*i + 1. Let y = 277 - 279. Suppose -4*g + 11 = 5*z, 7 = 3*z + 5*g - 3*g. What is y*a(v) + z*t(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 11*v**2 - 5*v + 5. Let b(n) = -5 - 17*n**2 + 1 + 6*n - 4 + 2*n. Give 5*b(y) + 8*z(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 21*r**2. Let h(w) = 3084385*w. What is s(h(t))?\nAnswer: 199782047392725*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 84 = 2*n, -14*o + 19*o - 234 = -3*n. Find the third derivative of 28*w**4 - o*w**2 + 2*w - 4*w + 23*w**4 + 22*w**4 wrt w.\nAnswer: 1752*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 272 and 5628632.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i + 2*i**2 + i)*(-3*i**2 + i**2 - 3*i**2) + 4 - 2 + 2 - 2*i**4.\nAnswer: -12*i**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(17) + sqrt(204)\/(sqrt(72)\/sqrt(6)) - sqrt(119)\/(sqrt(7) - -2*sqrt(7))) + 1)**2.\nAnswer: 10*sqrt(17)\/3 + 434\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**2 - 5632*q - 11272.\nAnswer: 2*(q - 2818)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 10076 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1107, -2026, -2295, -1590, 413?\nAnswer: 4038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 7*t**2 + 4*t**3 - 3*t**3 + 5*t + 5 + 0*t**3. Let i be n(-7). Is 5 a factor of 1\/(-2 + (-63)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -623 or -15606\/25?\nAnswer: -623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8 and 299?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - -4 - 10 - -18) + (-68 - 10)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 + 0. Let t(w) be the first derivative of -5*w**2 + 7*w + 1. Is t(c) 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 219, 224, 229, 234, 239?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p**5 - 8*p**4 - 363*p**3 + 5454*p**2 - 22464*p + 28512 = 0. Calculate p.\nAnswer: -22, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/13 in 0, -11, -34, -37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - 21 = -3*b, 0 = -2*b - 4*l - 0*l. Solve 5*z - 11 = -b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -184, -190, -198, -208, -220, -234?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 311099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -3*n - 13. Let y(x) = 2*x + 6. What is 6*p(o) + 13*y(o)?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -0.283 (b) -2 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -3*u**2 - 453*u + 314538. What is w(-408)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/14700 and 95\/516?\nAnswer: 632100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = -140 - -154. Let q = -12 + x. Solve 3*r + 25 = -q*r - y, y - 5 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -945 + 988. Calculate the remainder when 83 is divided by n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 89 and 61499?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 41 and 26527?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 51466110041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -340*m = -342*m - x - 4, 0 = 3*m - 2*x + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -8, -20, -34, -50, -68?\n\"Answer: -d**2 - 9*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 25.02 to 1 decimal place.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is (-32)\/8 + 3627 + 0 + 3 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -677, -1354, -2033, -2714, -3397, -4082, -4769?\nAnswer: -5458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 31 + 25?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14 + 43*i**2 - 6 - 28*i + 1 + 3.\nAnswer: 43*i**2 - 28*i + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-10)\/(-55))\/((-16)\/(-48)). Let i be (-3)\/(-2) - (52\/(-8) + 5). Determine m, given that h*m**2 + 12\/11*m - 12\/11*m**i - 6\/11 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddawdwdxwdax. What is prob of sequence dxx?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0 times -258.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 20210 (base 3) to base 7.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 296410024.\nAnswer: 2, 269, 137737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + ((-8)\/(-32) - (-15)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*a**2 - 2*a + 0*a + 137*a**4 - 135*a**4 in the form l*a**3 + h*a**2 + f + v*a + w*a**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -5689, -11379, -17067, -22747, -28413?\n\"Answer: p**3 - 5*p**2 - 5682*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*b - 16*b + 9 = d, 0 = -2*d + 3*b + 12. Let y(n) be the first derivative of 2*n**2 + 8\/3*n + 1 + 4\/9*n**d. Let y(z) = 0. What is z?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from haaahhahaaaaaa.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 27 and 537066.\nAnswer: 1611198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 - 0. Let n(y) = -4*y + 4. Let r(v) = 6*v - 5. Let t(m) = -19*m + 16. Let c(x) = 8*r(x) + 3*t(x). Let f(s) = 3*c(s) - 7*n(s). Calculate f(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6533164 is divided by 312.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 10008*q**3 - 139*q**2 - 139*q - 278. Let b(t) = -286*t**3 + 4*t**2 + 4*t + 8. What is 139*b(y) + 4*m(y)?\nAnswer: 278*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -220*n**2 + 138388*n - 5032 = 0.\nAnswer: 2\/55, 629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11.866 + -0.234. Let s = t + 0.1. Let a = s - -11. Which is bigger: 10 or a?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve n + 17 - 22 = -2*o, 5*o - 3*n = 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -4 take away 1.98815?\nAnswer: -5.98815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 631720 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 142221 - 142220.6. Let w be (0 + -1)\/(3\/(-6)). Let h be 0 - -1 - 3\/2. Which is the smallest value? (a) w (b) f (c) h (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62*r + 184 = 60. Let f(h) = -2*h - 5. Let s(a) = a - 1. What is r*s(l) + f(l)?\nAnswer: -4*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**2 + 659*k + 3273. Let r be a(-5). Solve 0 = r*u - 4*g + 22, 5*u + 7*g - 4*g = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -3\/8 (b) -2\/489 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1485*b**2 + 316524*b - 316524*b to the form h + w*b**2 + x*b and give w.\nAnswer: -1485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 76325?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 32636641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 8 - 1)*(-t - 2*t + 2*t) + (0*t + 0*t - t)*(-2 + 1 + 2).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 9*a + 344 = 0. What is the remainder when a is divided by ((-13)\/(-26))\/(2\/88)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*w**2 - 2*w**2 + 0*w**2 + (-9*w + 25*w + 11*w)*(4*w - 3*w - 3*w).\nAnswer: -53*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.30006 + 0.19994. What is the biggest value in 11, o, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -7*j**2 - 4*j + 9. Let a(u) = -3*u**2 + 1 + 6*u**2 - 4*u**2. Let t(v) = 6*a(v) - p(v). What is the units digit of t(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 452*h - 744*h + 334*h.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3419162557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.066349787 to 4 decimal places.\nAnswer: -0.0663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 427172 is divided by 319.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17049 is divided by 515.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-4))**(-12\/7)\/(d**(-21)\/d)**(1\/5) assuming d is positive.\nAnswer: d**(394\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((-521)\/3126)\/(2\/(-252))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 763*v**5\/5 - 2287*v**4\/5 + 2283*v**3\/5 - 757*v**2\/5 - 2*v\/5.\nAnswer: v*(v - 1)**3*(763*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-7458)\/(-5544) - 2\/(-24)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -12\/5531, -0.03, 5, -3\/2.\nAnswer: -3\/2, -0.03, -12\/5531, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4048696.\nAnswer: 2, 109, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 13473*z + 60 = 13453*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:12 PM and 7:15 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yuwmyoo. Give prob of sequence myw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.5 - -4.5. Let u = 3 - 3.16. Let l = u - -5.16. Which is the nearest to v? (a) 0.4 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*a - 4*k - 7, 7 = -4*k + 15. Suppose 0 = -5*x + w + 15, 0 = -x + 3*x - 2*w + 2. Suppose a*z = u + x - 23, z + 7 = u. Sort 3, z, 4.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -2, 0.4, 0.6, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -5*h**2 + 17. Let w(o) = -54*o**2. Give k(w(u)).\nAnswer: -14580*u**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - (-12 - -8)) + 9 - 23.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*p = -47*p - 12. Solve 0*j + 9 = -3*j, -p*j - 16 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the second derivative of -x**8\/3360 + x**7\/630 + x**4\/2 - 10*x. Let b(i) be the third derivative of j(i). Find the third derivative of b(v) wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -9 + 13. Suppose q = -m*q + 25. Calculate the greatest common divisor of q and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-3\/5)\/v*v**(-11) assuming v is positive.\nAnswer: v**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 227\/299804 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -264*u = -493*u - 12009 - 3334 for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3)\/2 + (-12)\/(-8). Suppose -12 - 8 = 2*h. What is the units digit of (h - -14) + j\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6 - (-2 - (-10)\/2). Suppose 3*r + i*j + 9 = 0, -3*r = -0*r + 4*j + 10. Let d = 2 + r. Is d equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 229 = -67. What is the greatest common factor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-6))\/2*40\/(20\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8985 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -2*d**2. Let q(s) = -s**3 - s**2 - 6*s - 5. Let x be q(-2). Let f(t) = -19*t + x*t - 5 + 5. Calculate y(f(w)).\nAnswer: -128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 131605110 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2\/7, 265.\nAnswer: -1, 2\/7, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = -4*a + 10, 5176 = -6*b - 6*b - a + 2*a + 5161 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*h = 23*h + 4*d + 326, -326 = -2*h + 5*d. Differentiate 210*b - 113 - 694*b + h*b + 190*b with respect to b.\nAnswer: -131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1562860 a multiple of 560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7 + 3 - 5)*(0*d - 6*d + 5*d)*(-2*d + 2 + 3*d - 4) to the form y*d + f*d**2 + z and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/((r\/(r\/(r*r\/(r\/(r\/(r\/r**(-1\/9))*r)))*r*r)*r*r)\/r))\/(r*r**(-2\/25)\/r))\/(r**11\/r**(-17)) assuming r is positive.\nAnswer: r**(-6257\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -822656 divided by 12854?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -11\/4 (b) 7 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6 - 51) + (4 - 1). Let s = t + 95. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 290402730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -5 + (-5 - -2 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00004107295 to six dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u + 25*s + 23 = 22*s, -u + 29 = -3*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18 and 5504034.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*l + 410 + 262 = 0. Solve 3*n + l = 3 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z - 4*s + 4, -5*s = -5*z - 10*s. Let x(f) = 4*f - 2. Let a be x(z). Solve 3*m + a = 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 109*-1511\nAnswer: -164699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 + 5 + 17*u + (u + 2 - 2)*(-3 + 3 + 1) + 7*u - 3*u + 2*u - 81 + 21*u + 81 to the form w + a*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 865, 6848, 22999, 54370, 106013, 182980, 290323?\n\"Answer: 842*w**3 + 32*w**2 - 7*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 586 + -496. What is the least common multiple of 75 and b?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -2*t**2 - t + 1. Let z(d) = d**2 + d - 1. Give -g(o) - z(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4494475299?\nAnswer: 3, 71, 21100823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 3*a. Let k(l) = -62*l**2 + 107 + 27*l**2 - 37*l**2 - 104. Calculate k(d(q)).\nAnswer: -648*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/(-1) - (-4 + 1). What is the third derivative of -2*u**4 + 3*u**4 - u**2 - d*u**2 wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.003747 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 535 and 1.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55 = y + 399. Let r = -685 - -1180. Let z = r - y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -3*j**4 - 2*j**2 + 6. Let l(u) = 5*u**4 + 5*u**2 - 12. Let z(f) = -2*l(f) - 5*s(f). What is the derivative of z(k) wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 77 + -66. Let z be k - ((-9)\/(-12))\/((-2)\/(-8)). Find the second derivative of 9*h**4 - z*h - 8*h**4 + 15*h**4 wrt h.\nAnswer: 192*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the second derivative of 0 - 1\/30*z**5 + 11*z + 3*z**3 - 1\/24*z**4 + 0*z**2. Let t(u) be the second derivative of x(u). Give t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1279\/13867 - 3\/283. Which is the biggest value? (a) n (b) -2\/11 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 616.03 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -101650922 smaller than -101650922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (30*j + j - 4*j)*(-8 + 33 + 23) to w + s*j and give s.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -202122 (base 4) to base 14.\nAnswer: -b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 33 + (-248 - -253 - (0 - 27))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 400, 395, 388, 379?\n\"Answer: -a**2 - 2*a + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s + 9. What is the tens digit of c(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g - 1 + 13. Suppose g*q = -q. Solve q = 4*k + 10 - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the second derivative of 153*t**8\/7 - t**7\/21 - t**4\/4 + 121*t**2\/2 + t + 2526. What is the third derivative of f(w) wrt w?\nAnswer: 146880*w**3 - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the third derivative of -53*d**6\/60 + d**5\/20 - 695*d**3\/3 - 58*d**2 + 11. What is the first derivative of z(t) wrt t?\nAnswer: -318*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(2448) + (sqrt(2448) + -2)*6 - sqrt(2448) - ((-2 + sqrt(2448))*1 + sqrt(2448))) + -3*(0 + sqrt(2448))*-5)**2.\nAnswer: -27360*sqrt(17) + 5302968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 61.05 + -57.091. Let y = 0.041 + f. Let i = -0.2 + 0.3. Which is the nearest to 0? (a) 2 (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**2 - 5*n + 5*n. Let w(v) be the second derivative of v**5\/120 + v**3\/3 + 3*v. Let m(s) be the second derivative of w(s). Give m(u(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 20 = -4*h + 2*h, -z - 12 = -2*h. Suppose -s - 2*t + h = 0, -17*t + 19*t - 24 = -5*s. Solve 0 = -3*f + s*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1 + 3d19adbc?\nAnswer: 3d19adbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 116 = 2*a - 640. Suppose -12 - a = -3*x. Suppose o + x = 3*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -244337\/141894 + -2\/7883. Calculate the common denominator of g and -47\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) 4 (c) -1 (d) -0.24 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -258.27 + 269.9. Let u = -12 + x. Let m = 0.07 + u. Which is the closest to -1\/4? (a) 3\/5 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 168*v**5 - 123*v**4 - 4617*v**3 - 5508*v**2 + 8100*v = 0.\nAnswer: -25\/8, -3, 0, 6\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -3.414926 plus 25?\nAnswer: 21.585074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -26*u + 85. Let o(a) = 259*a - 848. Determine -21*f(k) - 2*o(k).\nAnswer: 28*k - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.0447 + -6.9553. Which is the nearest to 1? (a) -5 (b) -1\/6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m - 1. Let i be g(-7). Suppose -s - 6 = -4*y, 3*y - 2*s = i*y + 1. Solve -1 = -4*o + 3*q, 4*o + q + y = 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/26 - 7213\/13. Let n = 955 + u. Is n a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*m - 6 = -43*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 54 = -2*y, 3*k - 8 = -3*y + 31. Calculate the least common multiple of k and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -10*o - 19. Let f = 15 + -22. Calculate the remainder when a(f) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-84)\/(-16)*15\/24*596\/(-2235)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*a**3 - 39*a + 39*a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(9\/(-15)*(-2)\/(-3)). Which is the second biggest value? (a) -1 (b) r (c) 0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -26, -18, -354 in increasing order.\nAnswer: -354, -26, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the second derivative of -2*b**2 + 211\/6*b**3 + 0 - 11*b. Is a(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 12 = 3*n - 75, -2*n - 145 = -3*s. Solve 0 = -s*c + 8*c + 344 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12262 - -12266. Find z, given that 4\/5*z**3 + 0 + 0*z - 2\/5*z**x - 2\/5*z**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(2\/8)*(-20)\/8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that -g**2\/2 + 32808*g = 0.\nAnswer: 0, 65616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -1112120002 (base 3) to base 6.\nAnswer: -352132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 3, n: 2, p: 4, c: 6, h: 2}. Give prob of sequence nr.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6671 + 6862. Calculate the greatest common divisor of o and 24257.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 4*p - 5 = 0. Let m be 4 - p\/((-2)\/4). Let g be (2 + m)*2\/4. Solve 11 = -2*u - g*t + 5*t, t = -u + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1 (b) 17 (c) 0.4 (d) -3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 13542857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -2\/15, -3, 7, 3, -2\/101 in descending order.\nAnswer: 7, 3, 0.1, -2\/101, -2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -2862 divided by -6?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/64134 and -119\/36.\nAnswer: 128268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 4*h - 164 = 0, 5*n - 2*h - 145 = 72. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**4\/11 + 6660*r**3\/11 - 5610450*r**2\/11 + 109561000*r\/11.\nAnswer: -2*r*(r - 1655)**2*(r - 20)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 5*a + 96. Let j be w(-22). Let o(n) = n**2 + 4*n + 15. What is the tens digit of o(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 128, 148, 174, 206, 244, 288, 338?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - (-12 - -3) - (10 - 17).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*b - 12*b + 7*b)*(-3*b + 3*b + b)*(0*b + 0*b + b).\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.4 and 2531688771?\nAnswer: 2531688771.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2480305 is divided by 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1165967, 2331930, 3497893, 4663856, 5829819?\nAnswer: 6995782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 166*x - 2*n = 204 + 50, -4*x - 2*n + 27 = -3*n - 21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2\/11 - 795\/(-165). Let r be -8 - (12\/(-3) + a). Put r, -1\/4, -5 in increasing order.\nAnswer: r, -5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -284, 6, 10.\nAnswer: -284, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a + 2 + 2. Let b = -54 + 74. Calculate the greatest common factor of a and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -239*h**2 - 786*h + 786*h as a*h**2 + i*h + c and give a.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -198 less than or equal to -516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 347*q - 564*q + 287*q + 840 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (11545*g - 112*g**2 - 11545*g)*(-g - g**2 - 2*g**3 + g) - 2*g**5 + 2*g**5 + 2*g**5 + (g - 3*g + 3*g)*(-6*g + g**4 + 6*g).\nAnswer: 227*g**5 + 112*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -9*y - 9. Let v be r(-2). Solve -f + 3*w = -5, -2*f - 2 + v = -3*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*a - 4 - 8, -80 = -3*g + 2*a. Suppose -g = -2*k - 4*k. Solve p + 9 = -s, -2 + 10 = -k*p + 3*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h such that h**3 - 2*h**2 - 36*h + 72 = 0.\nAnswer: -6, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(45) - (6*sqrt(1620) - sqrt(1620)))\/sqrt(9) + (4*sqrt(80) - (sqrt(80) + 1)**2).\nAnswer: -81 + 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 82476803 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o + l - 22 = 0, -2*l + 8 + 1 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes after 3:27 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -48 - 2424?\nAnswer: -2473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 738 - 737.6. Let t = 0.01 - 2.01. What is the nearest to t in m, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 60*i - 1256. Let t be f(21). Let g = -4 + 7. Solve g = -z + t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**3 - 10*p**2 + 3*p. Let a be k(10). Suppose -4*h - 6 = -a. Let z(m) = -m - 5. Give z(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -47505*m = -47509*m + 3*k + 52, 5*m = 4*k + 71 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-6)\/(-4)*(-16)\/(-12). Suppose 4*y - 80 = 2*t, q*t + y = -0*t - 65. What are the prime factors of (t + (2 - 4))\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 994 (base 10) to base 8\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 1030224342 (base 5) to base 4.\nAnswer: 20120002031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*k - 13*k**4 + 7*k**4 - 22*k**3 + 2*k**2 - 34*k**3 to the form n*k**3 + p*k**2 + x*k + i + q*k**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 41150 divided by -4115?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -42 - -16. Let o = 28.8 + i. Let k = o - 2.80043. What is k rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*l - 16*l = 0. Suppose l*d = 4*d + 3*d. Suppose -8*g + 4*a + 942 = -3*g, 5*g + 5*a - 915 = d. What are the prime factors of g?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - 4 - (-4 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 1 = -85. Let w = j + -19. Let r = -4 + w. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27590?\nAnswer: 2, 5, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -14*a**2 + 16*a. Suppose -v + 6 = -7*v. Let u(z) = -z**2 + z. Give v*c(d) + 12*u(d).\nAnswer: 2*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -512047 - -828776. Is r 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 150650059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 19*d**2 + 199*d - 164. Give q(-13).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -p. Suppose 3*i - 3*x - 15 - 6 = 0, p = -5*i - 3*x + 11. Suppose 3*f - 2*h = 19 + 48, 2*f = -i*h + 18. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4968128 and 1584.\nAnswer: 44713152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y**3 + 11*y**2 - 11*y + 10. Let h be b(10). Solve 0 = 3*v - h*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 252 minutes after 9:02 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 43*f - 32 - 269 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*p = 710 - 197 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 1300*a**2 - 11*a + 3. What are the prime factors of t(2)?\nAnswer: 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37936258519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.19 - 0.69. Let r = -0.02 - -0.42. What is the nearest to 1 in -3, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + -2 + sqrt(2736))*-3)**2 + -5.\nAnswer: 648*sqrt(19) + 24700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1054637 or 1054638?\nAnswer: 1054637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**3 - 4*z**2 - 3. Let w be r(4). Let g be w\/(-4)*(1 + -5). Let m(x) = -x**2 + 1. Let p(u) = -u**2 + 2*u + 1. Let l(s) = -3*m(s) + 2*p(s). Give l(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 25.19 - 25. Let b = 1.19 - t. What is the biggest value in 8, 0.5, b?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 894 and 23756.\nAnswer: 10618932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -66.85 - -70. Let n = -0.15 + q. Which is the nearest to -0.2? (a) n (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.494 - -1.494. Let o = -5 - -2. Which is the third biggest value? (a) -2\/13 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dndd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*y + 7949 = -124115. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wfwwwzzfrwzwwzfbgfww. Give prob of sequence zgz.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 68347301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-3)\/2*24\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -730 divided by -307457.\nAnswer: 730\/307457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**3 - 21*m**2 - 44*m - 46. Calculate a(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 9:55 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -37 - -39. Suppose -r*a = -h + 13, h + 2*a - a + 2 = 0. Solve -2*j + 16 = 5*b, h*j + 18 + 0 = 3*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -12 + 12. Let a(j) be the third derivative of o + 5\/24*j**4 + 1\/120*j**6 + 0*j - 1\/10*j**5 - j**2 + 0*j**3. What is a(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8336 + 416*f**2 + 625*f - 16672 + 8336 wrt f?\nAnswer: 832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 1\/3, 5, -101 in descending order.\nAnswer: 5, 1\/3, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**2 + 3*l - 2. Let w(y) = -y**2 + 7*y - 5. Determine -5*r(j) + 2*w(j).\nAnswer: 3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be -3 + 369\/(3 - 0). Suppose -7*g + 4*g + q = 0. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, g: 1, y: 1}. Give prob of picking 2 g and 1 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6, 2, 32, 96, 206, 374?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4 + 42977157593.\nAnswer: 42977157593.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 2 - 3 + (-4 + 3 - 1)*(-4 + 3 - 1))*(8*i + 4 - 4).\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 788.811 kilograms in grams?\nAnswer: 788811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is y in 24*y**4 - 3*y**3 - 78*y**2 - 51*y = 0?\nAnswer: -1, 0, 17\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -256 - 41*z + 5*z**2 + 256 in the form w + p*z**2 + j*z and give j.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -14.486 - -14.586. Let j = -2 - -2.2. Which is the nearest to 1? (a) -6\/13 (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3*(0 + (-6)\/99). Suppose -4*z - 3*v - 20 = -8*z, 15 = 3*z + 3*v. Which is the nearest to -0.1? (a) -5 (b) z (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1 - 0. Let f(o) be the first derivative of 3*o**3 + o**2\/2 + 1. List the prime factors of f(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16414.\nAnswer: 2, 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (10 + 2*y - 10)*(-6*y**3 - 6 + 4*y - 6 + 14).\nAnswer: -12*y**4 + 8*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -950 + 935. Let d = 10 - 5. What is the second biggest value in -3, 1\/3, d, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -6 - (1 + 0 + -122)\/((-1)\/(-118)).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + y - 2 = l, -5*l - 3*y = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(140))\/sqrt(7).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 29948 and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1128 - -1132. Let n(m) = 2*m - 4. Let h be n(3). Let u be h\/(-4)*2\/2. Sort u, -3, f in increasing order.\nAnswer: -3, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.60526 - -9.65596. Let x = q + -9.01. Round x to 3 dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-27)\/(-36))\/((-66)\/(-4)))\/(((-19)\/6)\/19).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -3*q - 48, 0*q - 184 = -5*h + q. Suppose 3*y - 45 = -h. Suppose -y*b = -4*b + 73000. Round b to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in nineteen quarters of a day?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -0.4, 0.2, 3\/29, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42 + 80 - 6*d - 38.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8442 and 102564?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 12 - -1. Let y = g - 8. Solve 2*x = -6*i + i - y, 2*x + 11 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 3*b**2 - 6*b - 6. Let y(l) = -l + 8. Let s be y(12). Let m be i(s). Suppose -4*g + 155 = 4*t + 59, -3*g - m = -3*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -3 - 6 - 2*w + 2. Let s be r(-5). Solve -2*v = s*v + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20 - (-54 + (64 - 22))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**3 + 5*x**2 - 8*x - 7. Let y be i(-6). Suppose 12 = 3*r - 5*t, -2*r + 0*r + y*t = -13. What is the remainder when 126\/4 + r\/2 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.3 + 0.2. Let r = -1.1621 + 0.1621. Which is the biggest value? (a) o (b) 0.8 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2422920 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/((-50)\/24))\/((-138)\/460).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 6603 (base 7) to base 13\nAnswer: 10c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (27\/180)\/(((-408)\/85)\/(-4))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2237.9 - 2238. Which is the closest to 1? (a) 1\/48 (b) 3\/2 (c) -2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m. Let l(a) = -4696633*a**2 - 18. Determine g(l(o)).\nAnswer: 4696633*o**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -31*w + 222. Let y(i) = -2 + 9 - 7*i - 3 + 8*i. Give y(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 5*l**3 - 1. Let i be c(1). Let y(p) = p**2 - 3*p - 5. Let q be y(9). Suppose i*a + 5*w = w + 204, a - q = -3*w. Round a to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (5 - 2) + 1 + -103 + 122\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -140*b**4 - 9924*b**3 + 371592*b**2 - 41200*b - 42336 = 0.\nAnswer: -98, -2\/7, 2\/5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(18\/5))**(27\/7)\/(z**(16\/3)\/z**27))**(6\/7) assuming z is positive.\nAnswer: z**(7466\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 38796*h**4*p - 10*h**3*p + 4*h**3 + 7667*h**2*p - 13*h**2 - 2*h - 34*p wrt h?\nAnswer: 931104*h*p - 60*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -81*s**4\/2 - 25695*s**3 - 8162437*s**2\/2 - 1810070*s - 200978 = 0.\nAnswer: -317, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vvd when three letters picked without replacement from djvdjdvjdjjdd.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 315 and 2044.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 182.92 take away 45?\nAnswer: 137.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p + 7. Let a be d(3). Let g = -4 - -3. Put g, a, -1\/2 in increasing order.\nAnswer: g, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 16 and 323.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -458 + 460. What is the third derivative of 47*k**p + 221*k**6 - 45*k**2 + 35 + 18 wrt k?\nAnswer: 26520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 213 (base 10) in base 6?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 124086556299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -3*u**2 - 3*u - 4. Let g be t(8). Let o be g\/((-1988)\/496 - -4). Suppose 5*w - o - 8815 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4a0 + -b?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 95 - 93. Suppose -3*p - 4*q + 253 = 0, -p = -0*p - w*q - 71. Calculate the remainder when p is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 33405*a**4 - 407*a**2 + 22381596*a wrt a.\nAnswer: 400860*a**2 - 814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(8)\/(-1*sqrt(4)) - (sqrt(16)\/sqrt(4) + sqrt(4))\/sqrt(2)) + 0 + -1 + 2 + sqrt(6)\/sqrt(3) + 1)**2.\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pnn when three letters picked without replacement from {n: 2, p: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 2*b. Let r(d) = -10199299*d**2. What is r(j(v))?\nAnswer: -40797196*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 49 and 15719305.\nAnswer: 110035135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 187051079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6.12 - 0.12. Let b = u + -4. Let p = -1.8 + 2. What is the smallest value in b, -1\/4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 850304012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9*-722956.\nAnswer: 6506604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2255*d**3 + 4442*d**3 - 1618*d**3.\nAnswer: 569*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*m + 10692 - 12666 - 23526 = 0. What is the lowest common multiple of 70 and m?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5 - -4) + -3)*1 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3612905503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 1) + (8 - (12 + -10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -33 + 26. Let g(v) = -v**3 - 6*v**2 + 4*v - 7. Does 10 divide g(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = 7 - 1. Let o be (3\/i)\/((-5)\/(80\/12)). Solve 5*d - o = 2*p + 1, -2*d - 2*p + 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 2*a - 6. Let s be v(-4). Let j be 38\/5 + s\/(-35). Let i(l) = l**3 - 2*l - 2*l**2 + 0*l**3 + 0*l - 4*l**2 + j. Calculate i(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -5*f**2 - 5*f + 1. Let h(o) be the first derivative of o**3\/3 + o**2\/2 + 97. Suppose -33 + 35 = -d. Calculate d*g(n) - 9*h(n).\nAnswer: n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4 not equal to -426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 5 = -7. Suppose -p*d + 7 + 5 = 0. Let v = 289\/4 - 71. Which is the nearest to 0? (a) v (b) -2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aq when two letters picked without replacement from {a: 14, q: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 179 - 123. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 196 (base 11) to base 13.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -21560 - -21560.000021824. What is a rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes after 7:43 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7380 and 2370?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(156) - sqrt(156)*-4*-5)\/sqrt(12))**2.\nAnswer: 4693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 4*n - 16 = 0, -w - 2*w + 21 = -5*n. Solve -4*q - 2*q**4 - 2*q**w - 35*q**5 + 39*q**3 - 2*q**2 + 6*q**4 = 0.\nAnswer: -1, -2\/7, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 1)*(-62*t - 113*t + 60*t)*(-1 + 0 + 2) + 2*t - 2*t + t - 3*t - 3*t + 4*t + (-2 + 3 - 3)*(0 + t + 0) + 12*t + 2*t - 1 - 7*t.\nAnswer: -111*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = w**2 + 27*w + 115. Let o be b(-22). Solve -22 = 2*x - o*g, -3*g + 3 + 8 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 170 minutes before 12:44 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:54 AM and 2:51 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 132115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -43801\/7667 + -10\/697. Which is greater: f or -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 559769041 to the power of 1\/3, to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1444608 = 196*u - 77*u + 109*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.29 + -0.69. Let q = -9 + 6. Let p = 1.58 + -1.48. What is the second smallest value in p, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 30*n**2 + 4459*n - 10737. Calculate l(-151).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3952*r**2 - 2*r - 6514 wrt r?\nAnswer: 7904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from kduudkudyke.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 55 + -171303?\nAnswer: -171237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:12 PM and 5:20 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -132.638+8819706\nAnswer: 8819573.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -24 - -23.66. Let s = h + 12.34. Let b = -23 - -22.6. What is the second biggest value in b, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -15 - 3. Let o = 23 + g. Suppose 5*j + 0*f - 198 = f, 4*j = -o*f + 141. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 2*l + 22 = 0, r + 6*l = 3*l + 12. Let k = 3 + r. Solve k = 6*g - g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 625.251 - 625. Round y to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.115 + 2.115. Let m = 159 - 158. Let k = 2\/33 - -3\/11. Sort k, m, l.\nAnswer: k, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -c*p**3*s**3 - 54*c*p**3*s**2 - c*p**3*s + 2*c*p**2*s**2 + 275*p*s**6 wrt s.\nAnswer: -6*c*p**3 + 33000*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 j, and 1 v when three letters picked without replacement from {v: 2, i: 2, a: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1193 or 1192?\nAnswer: 1193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-19)\/((-741)\/(-52))*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -104*i**4*v**3 - 2*i*v**2 - 76*v**3 wrt i.\nAnswer: -1248*i**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -29*y + 29*y - 2*y**2 as d*y**2 + g + p*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18 - 9393*w**3 + 51 - 18 - 14.\nAnswer: -9393*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**2 + 1. Let a(x) = -4*x**2 - x + 25. Give a(z) + 2*k(z).\nAnswer: -2*z**2 - z + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that 4*d**5 + 97*d**4 + 204*d**3 + 133*d**2 + 22*d = 0.\nAnswer: -22, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 8491, 8562, 8633, 8704, 8775?\n\"Answer: 71*i + 8420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*m - 106855 = -20*m + 467940. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence as when two letters picked without replacement from {a: 2, s: 4, v: 1, p: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -9*q**3 - 12*q**2 + 207*q - 19. Let l(u) = 4*u**3 + 5*u**2 - 93*u + 9. Let z(h) = -13*l(h) - 6*v(h). Determine z(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00181875 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v**2\/8 + 10967*v\/4 + 120275089\/8 = 0. What is v?\nAnswer: -10967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 4782.559ml?\nAnswer: 4.782559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 400212?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the second derivative of c**3\/6 + 2*c. Let q be n(3). What is the third derivative of -f**2 + 3*f**3 - 2*f**q - f**2 wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54249574969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 + 8 = 3*v. Suppose -v*m + 5 = -0. What is the lowest common multiple of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 99\/97456 and -59\/1984.\nAnswer: 12084544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 409 divide 2596901625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1277 - 1416. Sort -2, x, 1\/4 in increasing order.\nAnswer: x, -2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*w = -3*w - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.013156311*0.08.\nAnswer: -0.00105250488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14260 is divided by 4672?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -55761, -55762, -55763?\n\"Answer: -h - 55760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**2 - 7*x - 2. Let i be l(-7). Let o be (3\/4)\/((-3)\/(-12)). Suppose 0 = -3*s - q + i, -51 = o*s - 5*s - 5*q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -2*d**3 - 6*d**2 - 22. Determine w(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 67978 and 492.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 2 (c) 0.17 (d) -3\/2 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -261233?\nAnswer: 3\/261233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 38 = 10. Suppose 5*s = 5*a - 30, 5*a - s + 2*s = j. Let g be (24\/(-5))\/(45\/25 - 2). Calculate the greatest common factor of a and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -40 - -40. Suppose 2*c + c - 3*g - 234 = n, 0 = -4*c + 3*g + 313. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*l + 2*r = l, 3*r = -15. Suppose -6 + l = -c. Suppose -c*m + 26 = -22. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(14) + sqrt(224) + sqrt(224)*1)\/sqrt(7).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8 + -11. Let z(f) be the third derivative of -5*f**4\/24 + f**3\/2 - 4*f**2. Let a(c) = 6*c - 4. Let k(j) = -4*a(j) - 5*z(j). Give k(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8.27 rounded to 1 dp?\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the third derivative of 0 + 0*z**4 - z + 15*z**2 + 0*z**3 + 1\/12*z**5. Determine i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -714 + 1539 = -14*l - 11*l for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of a**5 + 25429274*a**3 - 165*a + 90785 wrt a.\nAnswer: 20*a**3 + 152575644*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 + 12)\/((-72)\/(-48)). Suppose r*q = 195 + 181. Calculate the highest common divisor of q and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-127)\/(-508) + (-59)\/414 and -49\/1104.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 374*m**4 - 8*m**2 - 12*m + 3253*m**4 + 1158*m**4 + m + 6 + 23*m wrt m?\nAnswer: 114840*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2055*v**6 - 299*v**2 - 6 wrt v.\nAnswer: 246600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 5*a + 3*a = -6, -5*n = -a - 8. Suppose -3*b - n*b = -55. Suppose 5*g - 35 = -3*z, 9 = z - 2*g - 21. Calculate the remainder when z is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 4*l**3 + 16*l**2 - 2*l + 25. Let i be b(4). Solve i*w - 528*w - 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -44*r**2 + 5*r - 28. Let j(h) = -11*h**2 + h - 7. Determine 2*d(w) - 9*j(w).\nAnswer: 11*w**2 + w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-5 + sqrt(72) + 2 - (-3 + (-2 + sqrt(2))*-5))**2.\nAnswer: -1100*sqrt(2) + 1710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10 or -216\/11?\nAnswer: -216\/11","meta":{"dup_signals":{},"source":"comparison__pair_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: Let g be (0 - -463) + 57\/(-19). Calculate the greatest common divisor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1912.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i. Let u be m(-3). Let r(n) = 5*n**2 - 2*n - 7. What is the tens digit of r(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -n**2 + 20*n - 44. Let a be x(21). Let w = 64 + a. Is 901*5 - (-3 - w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 483 a factor of 96397623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 5 + -4 + (0 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1257127924 - 1257127924 + 33*q - 23*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4400 and 4400.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 23402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -2*d - 4, 47 = 3*h + 3*d - 2*d. Suppose -3 = -m - 3*k, 20*k = -3*m + 16*k + h. Solve -m = -n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the third derivative of 0 - 1\/48*g**4 - 14*g**2 + 0*g + 1\/432*g**6 - 7\/360*g**5 - 19\/6*g**3. Let w(f) be the first derivative of h(f). Factor w(v).\nAnswer: (v - 3)*(5*v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(3) + (sqrt(3) - (-1 + sqrt(12))))*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -11*j + 42*j + 6 + 15 + 8*j - 105*j in the form t*j + u and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 386231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -10 + 21 + (-8 - (3 - 12)) - 11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*v + 35 = -69. Solve -3*a + 5*q = -5, -q + v = -2*q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 364 - 223. Suppose -k = -5*h + 2*u, -2*u + 124 = 4*h + 2*u. What is the derivative of 15 + h - 230*y + 214*y wrt y?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 118? (a) -18\/5 (b) -1\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -1387 * 3.7.\nAnswer: -5131.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -228073, -456143, -684213, -912283?\n\"Answer: -228070*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + (18 - 4) - 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes before 2:50 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 14) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 32\/98265 and 4\/884385.\nAnswer: 884385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*g*z**5 - g*z + 111*z**5 + 16*z + 4 wrt z.\nAnswer: -80*g*z**3 + 2220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*z + 0*z + 4*z)*(2 + 0 - 3) - 9 + 3 - 79*z + 83*z - 2 as l + x*z and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 4310 = 2*x, 2*c + 4*x - 1448 - 1412 = 0. Let z = c - -183. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*s - w - 43, -108*w - 17 = -s - 112*w for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*q + 723 = -45*q - 657 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 17857 + -17862. Let i be 20*2\/14 + -2. Which is the third smallest value? (a) -3 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 143 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) 3 (b) -4 (c) -2\/11 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ykkykppkx. Give prob of picking 2 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*b**3 - 6*b**3 + b**3 + (-2 + 2*b**2 + 2)*(-2*b - b + 4*b) + 4*b**3 - 8*b**3 - 5*b**3.\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 0.3, -780, 1 in ascending order.\nAnswer: -780, -0.5, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 6367906 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 0 - 1)*(2 + 2 - 6)*(-7*j - 6 + 6) to the form q*j + f and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8289 or -8287?\nAnswer: -8289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the third derivative of 0 + 12*y**2 + 0*y**3 - 1\/24*y**4 + 0*y. Let m(x) = 10*x**2. What is m(s(i))?\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -348 = 14*v + 2242. Find the common denominator of v\/(-30) + -1 - 3 and 127\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-14)*(84\/(-108))\/(-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 5, z: 2}. What is prob of sequence zkk?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, b: 1, h: 7}. What is prob of sequence fh?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 + -6. Suppose 11*u + 203 = -501. Let h be (68 + u)*2\/(-36). Which is the nearest to h? (a) t (b) 2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 17, 17, 15, 11?\n\"Answer: -z**2 + 3*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 3 + 1 - ((199 - 69) + -191)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**2 - 8*k + 4. Suppose -a + 2*c + 3*c = -2, 0 = -4*c + 4. What is q(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 14*r - 20. Give p(-7).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((c*c**(4\/3))**(-9))**(-47))**(-2))**(-4\/31) assuming c is positive.\nAnswer: c**(7896\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 2*w**4\/3 - 226*w**3\/3 + 684*w**2 + 904*w\/3 - 8240\/3 = 0.\nAnswer: -2, 2, 10, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.7 times 0.39?\nAnswer: -0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -297, 0, 4 in descending order.\nAnswer: 4, 0, -4, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 0.2 (c) 2 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -1, 0.3, 7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ssus when four letters picked without replacement from {s: 9, u: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1041a + 2?\nAnswer: 10421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + (0 - 4) + 6 - (-1 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 5 + x**3 - 4*x**2 + 3 + 27*x**2 - 5*x - 12*x**2. Let k(g) = g + 1. Let j be k(-11). What are the prime factors of s(j)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*a - 4 + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 10200 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**2 - x + 1. Let n(r) = 31*r**2 + 3*r. Let s(z) = 9*z**2 - z + 1. Let d(b) = -n(b) + 4*s(b). Calculate d(h) - 6*p(h).\nAnswer: -h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3371 (b) 1\/3 (c) -0.1 (d) 1\/300 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-7\/4)\/(c*c*c\/(c**(-2\/5)\/c)*c)*(c*c*c**(-2)\/c)\/c*c\/(c\/((c*c**(2\/13))\/c)*c)*c*c)**47 assuming c is positive.\nAnswer: c**(-97713\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve y = -5*v - 17, -2*y + 5*v + 9 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the first derivative of -23*j**5\/5 + 33*j - 35. What is the derivative of h(q) wrt q?\nAnswer: -92*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 70 = -2*x + 18, -4*q + 166 = -x. What is the greatest common factor of q and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2.8 - 2.6. Let l = 17777 + -3377539\/190. Let s = -3\/38 + l. Which is the second smallest value? (a) s (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10110011010 (base 2) in base 4?\nAnswer: 112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 3\/40 of a second?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f - 2*m + 0 = 4, f + 13 = 5*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8 and 1080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**3 + j**2 + 2*j - 2. Let y be c(2). Let i(p) = 15*p**2 + 2*p - 2. What is the units digit of i(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -921*q**2. Let j(v) = -2*v**2 + 6*v**2 + 9*v**2 - 17*v**2 + 2*v**2. Calculate t(j(m)).\nAnswer: -3684*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(2\/5*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 13) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*g + 86*g = -2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 76? (a) -70 (b) 3 (c) -0.04 (d) -4 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -183a7b (base 12) in base 2?\nAnswer: -1100110111000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -17\/2, -7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 337373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find f such that -5*f**5\/2 + 14830*f**4 - 22022510*f**3 + 87793640*f**2 + 88090080*f - 351411840 = 0.\nAnswer: -2, 2, 4, 2964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gjuggyjyyglygdgjulyg. Give prob of sequence jjll.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1602502991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the third derivative of a**5\/60 + a**4\/8 + a**3\/3 - 6*a**2 - 15. Let q = 0 - 3. What is x(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.29 - -1.01. Let r = -1.7 - n. Which is the biggest value? (a) 2\/3 (b) r (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -d + 1372739 - 4118112 + 1372689 + 1372684.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6013 + 6016 + 5656 - 23702 + 6017 - 4*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*p + 4*p + y + 297 = 0, 0 = 5*p + 4*y - 345. Suppose p*g + 84 = 94*g. Solve -z = 3*z - 4*l + g, 11 = -2*z + 5*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 19 - 13. What are the prime factors of h\/3 - -3*7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7 + 8. Solve u = -2*s + 4*s - d, d = 4*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v**2 + 6*v + 16. Calculate x(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 0 - 2*y + 3 + 5*y - 4*y. Let p be a(0). Suppose 2*d - 33 = p. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 135131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be 277 + 9 + 3\/(-1). Let y = 290 - b. Solve 0*u + y*u - 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -13417\/10017 + 16\/371. Find the common denominator of -86\/63 and g.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/6)\/(-3)*(-6)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3.00186 + 0.00186. Let f = -3 + 2.8. What is the third biggest value in f, 4, i, -1\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-1*(0 + -6*(-1 + sqrt(468)))*-1*5*-4)**2.\nAnswer: -6220800*sqrt(13) + 243129600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 4 + 3 + 2 - 6 + 3 + (-1 + 0 + 2)*(3 - 2 - 2))*(-6 + 6 - 4*t) to the form r + a*t and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -846*q = 780*q - 44*q - 42714 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 50793313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**2 + 99*w + 1454. Let m be k(-18). Which is the fifth biggest value? (a) 4\/3 (b) 5 (c) 4 (d) m (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -27, 2\/11, -4, 4.\nAnswer: -27, -4, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -10892*d - 7371 = 10859*d - 21832*d for d.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 2 + 2 - (-11)\/(-7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -52 + 13. Let i = 40 + n. Sort i, -0.1, 0.4 in descending order.\nAnswer: i, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 14*a**2 + a**3 + 7*a - 1 - 7*a**2 - a + 0*a**3. Let t be 2\/(-11) + 552\/132. Suppose 0 = -5*q + t*n - 18, -2*q + 3*n - 21 = 3*q. Determine y(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*z - 26 + 24 + 10*z)*(-6 + 6 + 2*z + 0 + 0 - z - 3*z - z + 6*z + (-3*z - 2*z + 3*z)*(7 - 3 - 2)) to t*z**2 + a*z + b and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -3*w + 7*w. Suppose 3*a + 5*u = -17 + 79, -2 = u. Solve -w*r + 4*s = -10*r - 1, 3*s + a = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 m and 1 y when four letters picked without replacement from {m: 3, y: 1, p: 13}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve n + 6 = -4*m + 24, -2*m + 4*n = -18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6412, 12487, 17910, 22363, 25528, 27087?\nAnswer: 26722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -11524 + 4?\nAnswer: -11520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.06? (a) -1\/7 (b) 1\/5 (c) 0.06 (d) 1166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 8*j + 8. Let f be y(0). Suppose -5*t = -5*i, 5*i + 44 - f = -4*t. Let m be 81040\/50 + i\/5. What is m rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 15 = 6. Let l = -3 - x. Suppose -l*d - 10 = -b, -4*b + b - 5*d = -13. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -39 - 4?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 35116.55422 to the nearest ten.\nAnswer: 35120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -25 + -10 + (4 - (-13 - -10))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.09 * -4.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*z**4 - 136*z**3 - 3*z**2 + 83*z wrt z?\nAnswer: 48*z - 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the first derivative of -3*u**2 - 4 - 2*u**3 - 1\/4*u**4 - 6*u. Let p be v(-6). What is the highest common factor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 31758\/5 + -6351. Which is the smallest value? (a) 0.17 (b) -4 (c) k (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4019 or 4024?\nAnswer: 4024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -28, -34, -40, -46, -52?\n\"Answer: -6*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4743.9 - 4744. What is the fifth biggest value in 2, 4, -5, -4\/7, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the second derivative of -19*g**3\/6 - 8*g**2 + 28*g. Is 20 a factor of p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 902*g = 101*g - 689*g - 123670 for g.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-49 - (-59 + 65)) + 71?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 27 times -0.09\nAnswer: -2.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/5)\/(12\/(-20))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 5*f**2 + 402070*f - 48723675 = 0.\nAnswer: -80535, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 51991, 97470, 142945, 188416, 233883?\n\"Answer: -2*p**2 + 45485*p + 6508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c - 2*b = -109, 2*c - 2753*b = -2750*b - 48 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) 0.1 (b) 5 (c) 2\/5 (d) 1\/49 (e) 4 (f) -0.4 (g) -38.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -136*d**3 + 47*d**2 + 5*d + 4. Let v(q) = -205*q**3 + 70*q**2 + 8*q + 6. Give 8*i(a) - 5*v(a).\nAnswer: -63*a**3 + 26*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -103.3 * -2.\nAnswer: 206.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 132 + -110. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 256, 229, 140, -41, -344?\n\"Answer: -5*b**3 - b**2 + 11*b + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(1\/27)\/q*q**(-12)*q**(-1\/6)\/q**(-1\/4) assuming q is positive.\nAnswer: q**(-1391\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and -2793\/51938 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 11*r**2 + 2. Let h(f) = 45*f**2 + 9. Calculate -2*h(k) + 9*t(k).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 11 = -5*n, 9 = 2*w + 2*n + 19. Is w\/(-3)*(1567 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -2*t**3 + 13*t**2 - 13*t - 10. Let k be i(5). Suppose k = -3*n - 58 + 328. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8597 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**2\/15 - 8*a\/5 + 26\/15.\nAnswer: -2*(a - 1)*(a + 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 841146985 to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7*(-27)\/(-567))\/(14\/(-66)).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g + 24 = 2*s, -4*g - 38 - 104 = -5*s - 26 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 7 - 1 = 0. Suppose 7*g + 45 = 4*g. Let t be g\/k*(-160)\/(-3). What is t rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**2 - 10*w - 11. Let k be r(-6). Suppose -k = -c - 0*c. Suppose -8*g = -c*g + 150. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7318375 rounded to the nearest ten thousand?\nAnswer: 7320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Are -547552 and -547553 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-8)\/14)\/(0 - 2). Let x = 2482 + -2482.4. Which is the closest to -0.1? (a) x (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -238 - -164. Let k = f - -74. Solve k*h = -h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 36.1 + 5.9. Let d = 141053339 - 141053381.0000094. Let l = y + d. What is l rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 7, u: 2, j: 7}. What is prob of sequence zzju?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + (-11 - (12 + -27)) - (0 + 18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u. Let d(f) = -f**3 + f**2 + 5*f + 2. Let r = 1 + -13. Let b = -10 - r. Suppose n - 10 = 3*z, n + b*n + 30 = -3*z. What is z*i(v) - d(v)?\nAnswer: v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least as big as -4113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -3 (b) 25\/7 (c) -5\/4 (d) 2\/377 (e) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -41.69 to zero decimal places.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((126\/28)\/(-9))\/(1\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2563*t = 2567*t + 8, t - 2 = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 0*c + 25 = -5*c, -c = -3*v + 17. Solve 2*h - a - 4 = -6*a, v = 3*h + a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -14876 + 29859. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 23*t. Let h(p) = -p**2 - 3*p - 2698. Calculate s(h(n)).\nAnswer: -23*n**2 - 69*n - 62054","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -21024.08028 to the nearest 10.\nAnswer: -21020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1290499363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 5272920 divided by -1757640?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4 - (-13830 - (-7 + 2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 + (3 - (-85 - -2)) + 4. Let a = s - 90. Let w be (-4)\/10 + (-42)\/(-5). Solve 2*j = -a*j + w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the second derivative of 19\/4*o**4 + 0 + 67\/20*o**5 + 0*o**2 + 0*o**3 + 43*o. Find the third derivative of p(r) wrt r.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 248 and 52544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 3*g - 44. Let r be 2\/((-4)\/56*4). Let d be (-2)\/14 + (-155)\/r. List the prime factors of l(d).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -40*x**3 - 2*x**4 - 4*x + 38*x**3 + 4*x - 3 as f*x + t*x**4 + p + d*x**3 + v*x**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 38*r**2 + r - 1. Let z = 20 - 19. Let w be t(z). Suppose w = 3*k + 2*s + 16, 4*k = -3*s + 28. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 37*j**2 - 2*j - 100. Calculate a(0).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 768191 is divided by 259.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - (-4 - -46)) + -34 + (-1 - (-6 - 1))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2267 and 28.\nAnswer: -63476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z - 2*g + 7*g - 30620, -g = -z + 6118. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*v**4*x + 101*v**4 - 7*v**2*x + 5*x wrt v?\nAnswer: 48*v*x + 2424*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -8667 greater than or equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -258912, -258919, -258930, -258945, -258964, -258987?\n\"Answer: -2*t**2 - t - 258909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve p**2\/5 - 192934*p\/5 + 9305882089\/5 = 0.\nAnswer: 96467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 226 = -2*u, 6*u - x + 234 = 8*u. Calculate the remainder when u is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2, -1\/2, 2\/47, -18?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -r - 5*v - 11 = 0, 6978*r - 4*v + 18 = 6982*r - 2 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 33724210 and 1610.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 217 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 11179469 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4693*q = 28731 + 226380 + 214189 for q.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*t - 48185 = 8*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 135369 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - y - 1)*(2 - 3 + 0)*(2587 + 474 - 1050).\nAnswer: 2011*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5368 and -0.1.\nAnswer: 536.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2340731481.\nAnswer: 3, 11, 37, 647, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1319861?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let w(i) = 7*i**2 - i**2 - 3*i**2 - 2*i**2 - 3 - 5*i. Let t = 1 + 5. What is the remainder when 8 is divided by w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15 + 41*s - 34 - 3 + 21.\nAnswer: 41*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 6*t + 3. Let d be j(6). Let w(n) = n**2 + 7*n - 1. Let q be w(-6). Let k = q + d. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 7\/2 of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 787 + -2327\/3. What is the common denominator of (((-9)\/(-20))\/(-3))\/((-6)\/235) and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 79461 and 80322 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2425 is divided by 174.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18814218.\nAnswer: 2, 3, 19, 165037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 44550.8909 - 44553. Round b to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand l**4 - 3*l**4 - 6*l**4 + (-l + 4 - 4)*(3*l**3 - 2*l**3 + l**2 - 2*l**3).\nAnswer: -7*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5 + -1*(4*sqrt(200) + sqrt(200) + sqrt(200) + 2)*4 + 2)*-4)**2.\nAnswer: 84480*sqrt(2) + 1845136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 134 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*i - 6*i = 5*o + 9, -3*o = 2*i + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/31537 and 43\/151646?\nAnswer: 7127362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 + 10001000010000111?\nAnswer: 10001000010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 65, 246, 561, 1022, 1641, 2430, 3401?\n\"Answer: 2*y**3 + 55*y**2 + 2*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 28790356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 11*z + 7. Let y(f) = -5*f - 3. Let v(r) = -4*j(r) - 9*y(r). Let h be v(3). Let o be (12 - 9) + -1*h. Put -5, o, -1 in increasing order.\nAnswer: -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 48\/((-4)\/(4 + 0)). Let d be (-35)\/(-14)*w\/(-15). Suppose -6 = -9*z + d*z. Solve 2*h = 5*h - z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -13097387*v**6 - 6087527*v**2 wrt v.\nAnswer: -1571686440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 107.975 rounded to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (56\/680)\/((651\/(-6))\/(-31))?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -60*t. Let u(f) be the second derivative of f**3\/3 + 31*f. Calculate u(z(o)).\nAnswer: -120*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 321013 (base 4) to base 13\nAnswer: 1882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from qdaqdaqqaqqad?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 385921799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5947 + -5948. Let r(f) = -1 + 3*f + 5 - 4*f. Let u(a) = -1. What is d*r(q) - 3*u(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((24\/4)\/12)\/(2\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 378\/(-105)*(-25)\/(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 - 2 = -3*s + i, s + 5*i = 30. Let q be (12\/(-2))\/(-2 - 0). Let v be 8\/(-3)*q\/(-2). Sort -5, v, s in increasing order.\nAnswer: -5, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*c + 3 + 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2773 (b) -0.1 (c) -0.18 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, 1\/4, 13, 1, 5, 3970?\nAnswer: 3970","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*a = -42 + 186 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(5\/3))**(16\/7) assuming o is positive.\nAnswer: o**(80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -3490, -2913, -2336, -1759, -1182?\n\"Answer: 577*t - 4067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -256 - -402. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 - 1 - (2 - (6 - -18 - 16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 328*d - 175*d - h - 24 = 152*d, -5*d = 4*h - 111 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -61573605 + -4?\nAnswer: -61573610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5571\/5 - -1118. Let y = -81\/20 + t. What is the third smallest value in -2, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**3 - 7*l**2 + 12*l - 14. Let n be u(5). Let b(r) = -19*r**2 - 24*r + 35. Let x(w) = 20*w**2 + 25*w - 35. Let t(k) = n*x(k) - 5*b(k). Factor t(f).\nAnswer: 5*(f - 1)*(3*f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from hugzztzugzu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -24*o. Let d(p) = p. Let s(t) = 36*d(t) + w(t). Let z(q) = -4*q. What is s(z(j))?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -2*t. Let g(a) = 4*a + 1. Let k be 5*(-2 - (-11)\/5). Let y be g(k). Let z(f) = -3*f**2 + 5 - y. Calculate z(l(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add together -86639 and -5.\nAnswer: -86644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**2\/13 - 662*a + 8608\/13.\nAnswer: -2*(a - 1)*(a + 4304)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.4 and 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 4, r: 15}. What is prob of picking 2 z and 2 r?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-663)\/85*80\/48.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 11844*a**2 - 44*a - 9. Is f(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1517, -3211, -4905, -6599?\nAnswer: -8293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve l + 13 = 6903*d - 6902*d, 4*d = -2*l + 58 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(605) - sqrt(605)*1*-6)*4 - 4*sqrt(1920)\/sqrt(6)*-6)**2.\nAnswer: 1250000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s - 3. Let r(c) = -3*c + 8. Suppose -f + a = -1, 17 = -5*f + 2*f - 2*a. Let o(y) = f*r(y) - 8*i(y). Let u(z) = 1 - 1 - 15*z + 17*z. What is o(u(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2066 divided by -31.\nAnswer: -2066\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 194.054 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*b + 2*r - 6 = 20*b, 2*r + 19 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:22 AM and 9:50 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 6671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -8.5264502 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 644 + -317. Let r(h) = h**2 - v + 0*h + 320 + 6*h. Calculate r(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes before 7:36 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 - (46 - 94) - 58?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 40197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*q - 9937886 = -119*q + 24911573. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence owuu when four letters picked without replacement from {o: 1, u: 4, w: 4, j: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the third derivative of -217*z**2 + 2*z**3 + 0 + 0*z - 1\/160*z**6 - 33\/32*z**4 + 9\/40*z**5. Factor g(j).\nAnswer: -3*(j - 16)*(j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0 (b) 73 (c) 3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13771 + -13771.8. What is the nearest to -1\/4 in -0.1, -4, k, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 417552?\nAnswer: 2, 3, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 - -8. Solve j*u - 4 = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2263 or 117998?\nAnswer: 2263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.149 and 5299?\nAnswer: -789.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 98\/(-126) + 2\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 12*y - 19 + 79*y - 15 + 37.\nAnswer: 91*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 84*p - 50793 = 6243. What is the remainder when p is divided by 114?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -96 + 96.41. Let y = 3.59 + x. Let k = 31.8 + -32. Sort 2, y, 0, k in ascending order.\nAnswer: k, 0, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 3*k = 4, 0*k = -5*k + 20. Suppose -4*j + 430 = -2*r, 0*r = c*r - 10. Suppose 0 = -5*u + 3*u + j. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 326 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 34\/35 less than 1406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**3 - 9*q**2 + 6*q - 65. Let w be d(-11). Calculate the greatest common factor of w and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = 4*n + 3*z + 523, -3*n + 3*z - 333 = 0. Let j = 190 + n. Suppose -5*w - 5*b + j = -b, -4*w - b = -62. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the third derivative of t**8\/448 + t**7\/280 - 3*t**6\/160 - t**5\/80 + t**4\/16 + 12*t**2 - 5. Determine s so that d(s) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000014410602 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*(2 - 2) + 7\/56.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r - 13. Let s = 33 - 30. Suppose -7*y + 3*y = -3*d - 2, 0 = -s*y - 3*d + 12. Suppose 0 = -y*a - 1 + 15. What is m(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:44 AM and 11:03 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 19782 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1502.203423 minus -0.058?\nAnswer: -1502.145423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the second derivative of q**5\/25 - 31*q**4\/6 + 988*q**3\/5 + 1521*q**2\/5 + 1134*q. Suppose b(w) = 0. What is w?\nAnswer: -1\/2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g\/(g*g**(-1\/4)))\/g)\/(g\/(g\/g**(-7\/4))))\/((g\/g**(-9)*g*g*g)\/(g**5\/g)) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**2 - 10*u + 2. Let v be i(-10). Let r = 475 + -9023\/19. Which is the nearest to -0.2? (a) v (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 1.72 (b) 1 (c) -123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oko when three letters picked without replacement from hhkkooubkboab.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 90\/75 - (-289)\/102*(-8)\/20.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 47, 42, 37, 32, 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 230*a. Let w(z) = -694*z. Determine 11*v(t) + 4*w(t).\nAnswer: -246*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 14117495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 12, -0.11, 39, -1\/2, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18 and 574560?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*o - 5757 = -10*o. Solve 0 = 40*i - 63 + o for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 720 = -5*z, 855 = 39*z - 33*z - 3*w. Solve z = -23*m + 5 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0046935527 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 420140\/143 + -2938. Let f = 5267\/572 + n. Calculate the common denominator of f and -49\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48155928 divided by -3793?\nAnswer: -12696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 431 divided by -47.\nAnswer: -431\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 3*x**2 - 7. Let h(r) = 4*r**2 - 15. Determine 5*c(z) - 3*h(z).\nAnswer: 3*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2495003 is divided by 2289?\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -44, 5, -4887 in decreasing order.\nAnswer: 5, -44, -4887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -1 + 528*a - 24 - 1394*a + 861*a. Let x(b) = -b - 1. Determine j(m) - 6*x(m).\nAnswer: m - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 4*j - 2*j = -10, j = 5*u - 14. Suppose 4*l = -4*p + 722 + 186, -3*l = -u*p + 434. Is 26 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -110091 - -110090. Let u = -2\/465 - 304\/1395. Which is the closest to h? (a) u (b) 3\/127 (c) 5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g**5 + 212*g**4 + 16027*g**3 + 263314*g**2 = 0. Calculate g.\nAnswer: -31, 0, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2337 a factor of 3047236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 143796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13 - -21. Suppose -5*s + 2*u = -s - p, -5*s + 2*u + 42 = 0. Solve s = y + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3454\/(-471) - 1485960044\/(-6). What is i rounded to the nearest one million?\nAnswer: 248000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes after 4:16 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1697 + -1711 + (-1 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 50 and 243\/27 + 141\/3.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, j: 2, q: 1}. What is prob of sequence qjcc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17666 is divided by 17542?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**2 + 487*r - 13728. What is f(28)?\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k + k + 0*k)*(4 - 3 - 3) + (0 + 4 - 3)*(-2*k + 1 - 1)*(-3959 + 19790 - 5498).\nAnswer: -20664*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 52439, 109900, 167361, 224822, 282283, 339744?\n\"Answer: 57461*a - 5022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 0 + 4)*(-3 + 1 - 2)*(-5*o**4 - 21 + 21) to z*o**3 + r*o**2 + n*o**4 + y + x*o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1217?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-210)\/(-45) + 1\/(4 - 1). Suppose y*a - 30 = -15. Factor 2*h + 4*h + 9*h**2 + 0*h + a*h**3.\nAnswer: 3*h*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 22819.65767 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from seess. Give prob of sequence see.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**3 + 641*g**2 - 1309*g + 19806. Determine r(639).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**2 + 7*h + 10. What is i(11)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 7392382093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor y**3\/5 + 419591*y**2\/5.\nAnswer: y**2*(y + 419591)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 66 + -74.93. Let t = h - -9. Let i = 1.93 + t. What is the third smallest value in i, -1\/2, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -1 + -1 - 90\/(-70)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 338 and 924599.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2322593 is divided by 165899?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/67 (b) 0.0383 (c) 1 (d) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 15058854 to the power of 1\/2, to the nearest integer?\nAnswer: 3881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from hwlillvvl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/19*r**3 + 0 + 4\/19*r + 2\/19*r**2.\nAnswer: -2*r*(r - 2)*(r + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**2 - 22*g + 25. Let h be p(21). Solve -t = t + h*m + 8, -m = -2*t + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 less than -165686296418742?\nAnswer: -165686296418740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 953659.7 centuries to decades.\nAnswer: 9536597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 - 2147810487.9.\nAnswer: -2147810488.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*802.7.\nAnswer: 80.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the first derivative of -15*k**5 - k**2\/2 - 7*k + 39. Differentiate d(v) wrt v.\nAnswer: -300*v**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1366630.\nAnswer: 2, 5, 17, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that 2*c**3 + 1475204*c**2 + 272077030400*c + 17950658592768 = 0.\nAnswer: -368768, -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -908*b + 92855 = 987*b for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -3*h**2 - 49*h - 48. Let l be n(-20). Let k = -252 - l. Calculate the lowest common multiple of 8 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 - 6. Let z be ((-10)\/20)\/((-2)\/12). Let v be -4*8\/64 + 12*4\/(-32). Put t, z, v, 2 in decreasing order.\nAnswer: z, 2, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 36 - 19. Let k = p - 17.1. Which is bigger: -7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16, 16, 72, 164, 304?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 426201516?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 18689, 37105, 55499, 73871, 92221, 110549?\n\"Answer: -11*y**2 + 18449*y + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((4\/33)\/((-17712)\/(-3321)))\/(3\/(-30)).\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (3\/(-18))\/(5\/4). Suppose -o = 3*o - 8. Let f be o\/56 - (-4)\/(-14). What is the second biggest value in b, f, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x**3 + 3*x**2 + 2. Let m be a(3). Let h be -2*(-3 + m + 0). Suppose 4*d + 5*v - 51 = 0, 1 - 3 = h*v. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -79 - -71.7. Let h = p - -7. Suppose 5 = 4*q + 13. Which is the nearest to 0.1? (a) h (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = l + 3*s, -2*l + 30 = 20*s - 18*s. Let p(v) = 3*v - 5. What is p(l)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**2 + 15*r + 9. Let h = -6950 + 6944. Calculate m(h).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 28542.768 months?\nAnswer: 23.78564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -3566*c. Let z(o) = -6*o**2. What is z(i(m))?\nAnswer: -76298136*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 30988 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}