diff --git "a/data/dm_maths/full_data/1333_11255.jsonl" "b/data/dm_maths/full_data/1333_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1333_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let m be (-1)\/9*3\/3 - 247015\/(-1143). Is m bigger than 225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2980 a factor of 479243600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.107, -1, -22, -5, -2\/71, -2 in ascending order.\nAnswer: -22, -5, -2, -1, -2\/71, 0.107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 444238054 to the power of 1\/3, to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 2*v - v**3 - v**3 + v**3 + 2*v**3 + (2*v**2 - 6*v**2 + 2*v**2)*(-5 + 2*v + 5))*(-7 + 4 + 0) in the form m + y*v**2 + b*v + w*v**3 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*n - 104*n + 10*n to the form a + h*n and give h.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 328002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 > -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/15*(-65)\/(-39). What is the second biggest value in 4, c, -5\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 77. Suppose -2*d - 3*t + 8*t = -16, -f = t. Is 40 - d - ((-2)\/(-2))\/(-1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13741.2 - 13741. What is the biggest value in 2\/5, -11, 144, g?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15836439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -38*g - 2. Calculate t(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12971750 a multiple of 1958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 97 = 3*k, 5*k - 3*t = -5*t + 172. What is the remainder when k is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = 0. Suppose -c + i*c + 7 = 0. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 244?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.0381 + 4723.0381. Let f = y - 4722.0002131. Round f to six decimal places.\nAnswer: -0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (19196\/6*18\/16)\/((-558)\/(-744))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 1467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*x, 4 = 4*t - 0*x - 4*x. Suppose t*o = -2*o - 28. Is 11\/2*-4*62\/o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20593?\nAnswer: 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j + 5. Let g(i) = -3*i - 2. Calculate 5*g(o) + 2*k(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from {z: 1, d: 1, p: 16}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*w = -0*s - 50, -53 = -3*s - 5*w. Let d be ((-3)\/(-2))\/(s\/28). Solve -2*i = n + n + d, 0 = -i - 5*n - 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -6507.\nAnswer: 455.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**2 + 1179891 - 1179891. Let u(b) = 17*b + 8*b - 7*b. Calculate i(u(z)).\nAnswer: -2268*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -208, -484, -870, -1366, -1972?\n\"Answer: -55*q**2 - q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 12*v**2 - 12*v - 10. Let h be g(13). Suppose -80 = h*a - 5*a. 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: 420 divided by -42\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from {n: 2, k: 2, p: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/(-720))\/((-8)\/(-5))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 3, f: 6, i: 4, c: 2}. Give prob of picking 1 i and 1 h.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 880\/16 - 33 - 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -140 - 4?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + -91. Suppose t*i - 2284 - 359 = -5*b, i + b = 662. What are the prime factors of i?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2 and (5 - 536\/108)*(-102)\/(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -100, -144, -198, -268, -360, -480, -634?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.458 - -0.058. Put b, 0.3, -3 in descending order.\nAnswer: 0.3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 50. Let g be (1 + 0)*(-2 + -4)\/6. Let s(n) = 125*n**2 - 2*n - 2. Calculate the remainder when s(g) is divided by o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a - 25 - a - 11. Let q be x(-5). Suppose -4*h**3 + 2*h**5 + 8*h**5 + 0*h**4 - q*h**4 - 2*h**4 = 0. Calculate h.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108392.\nAnswer: 2, 17, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 9:57 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -253)*(13 + -4). Let n be 5 + (5 - (-1 - g)). Let w = n + 310440\/137. Is w at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 205*u**4 - 385*u - 203*u**4 - u**2 - 21*u + 1 to the form m*u + w*u**4 + g + p*u**2 + r*u**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 8:49 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82\/73 + -1\/584. Let x(r) = -4*r**2 - 3*r - 2. Let m be x(-2). What is the common denominator of -3 + (-1)\/m*73 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.038\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -a19312 (base 11) to base 9\nAnswer: -3065211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 13*y**2 - 31*y - 222. Let a be i(-12). Suppose a*t + 19*t = 75. Let x(p) = -p + 1. Let c = 8 + -15. Let h(j) = -j + 2. Give c*x(s) + t*h(s).\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-90)*(-8)\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*w, -288*o - 2*w = -286*o - 28092. Does 104 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*s**2 - 246*s**2 + 498*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 14*q**2 - 2*q + 15. Suppose 35 = -2*x - 5*c, -x = -3*x - c - 23. List the prime factors of h(x).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/12807 (b) 1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29\/5 - -31\/5. Let w = -62948\/5 - -12590. Let w*c**2 - i*c**4 + 0*c + c**5 - c**3 + 0 = 0. What is c?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**30)**(-34)*(s\/(s\/(s**(-3\/7)*s)))**24 assuming s is positive.\nAnswer: s**(-7282\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(0 + sqrt(3)) - (sqrt(3) + (-1*sqrt(36))\/sqrt(12)))**2 - (3 + sqrt(36)\/(2*sqrt(12))))*-2.\nAnswer: -210 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, 1, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 402204 by 33517.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4345169\/1638 + -18572\/7. What is the common denominator of j and 37\/9?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + 0.99. Let r = -1.1 + w. Let b = 0.099976 + r. Round b to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*u = -9594, -u = 2*v - 3*u - 4798. Suppose -v - 1097 = -5*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82196602 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(2\/5)*g)**(-20)*(g*g**(1\/3))\/((g*g**(-2\/3)*g)\/g)*((g**(2\/3)\/g)\/g**(-3\/2))**(3\/38) assuming g is positive.\nAnswer: g**(-5085\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 11*i + 310. Determine d(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d + d + 4*d + 2*d + d - 2*d + (0 - 1 - 1)*(2*d - 1 + 1) - 2*d - 5*d + 5*d - 4*d - 8 + 8 + 3*d + 2 - 3*d + 2*d.\nAnswer: -8*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85970*x - 85770*x + 4*x**3 + 171737*x.\nAnswer: 4*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 444, 628, 806, 978, 1144?\nAnswer: 1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.1 - 6.47. Which is greater: -2\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112412821 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2301 = -3*t - 0*t. Let z = t - 496. Suppose 5*n = -16 + z. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -48. Let h(r) = -5*r**2 + 4*r - 3. Let m(i) = -i**2 - i + 1. Let w(d) = -h(d) + 3*m(d). What is the remainder when 62 is divided by w(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 4*o + 36. Suppose -2*l + o = -h - 22, -2*h = 8. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*z = 21, 3*z + 1 = h + 4. Suppose -9*l = -h*l - 15. Solve i = -0*i + l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 8:30 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -9.5. Let k = 94781\/6 - 15797. Sort k, 5, p, -55 in decreasing order.\nAnswer: 5, k, p, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 28 = -2*p, -2*p = 2*p - 3*i - 31. Let j be (-2)\/p*(-3 + 1). Suppose -3*b - 3 = 2*n - 5*n, 4*n + 4*b + 4 = 0. Is n smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 23, -2, -7, 1, -39 in descending order.\nAnswer: 23, 1, -2, -7, -8, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 - 150\/(-270). What is the closest to j in 0, -1\/3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11179 and -3.\nAnswer: 0.33537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2202005213 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3593715180 to the power of 1\/3, to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g**2 - 3 + 89*g**3 - 90*g**3 + 1 + 2*g**2 - 42*g + 3*g**2 + 5*g**4 to the form r*g**2 + s*g**4 + z + f*g + a*g**3 and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4 = -4*z, -6 + 14 = 2*z - 5*f. Let d = 0.6 + 1.4. Which is the nearest to 1? (a) -0.2 (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 75, 6, -91?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417431016.\nAnswer: 2, 3, 547, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15187522 divided by 7\nAnswer: 2169646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/1262 and ((-1 + -34)\/(-490))\/((-4)\/1358).\nAnswer: 2524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367700 is divided by 162.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -4 - 5) + -2 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023160 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: Expand (-21300 - 7*j + j + 21301)*(-3*j**2 + 0*j**2 - 2*j**2).\nAnswer: 30*j**3 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from {j: 1, a: 1, h: 5, z: 1, q: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-120)*4)\/(3\/894945) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.1 + -22. Let y = j + -2. Are y and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11\/1)\/((-10)\/(-30)). Suppose -g*m - 116 = -35*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36936 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 2. Let i be k(-5). Let m be 26\/14 + i + 6. Which is the third biggest value? (a) m (b) 0.3 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 9 - 6. Suppose -x = -2*j - 0*x + 8, 0 = -5*j + 5*x + 25. Let f be 2\/j + 7\/3. Sort 0, i, f in increasing order.\nAnswer: i, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**2 - 5 - 2*v**2 - 2*v + v**3 + 0*v. Let m be k(-4). Suppose -3*b = m - 9. Solve 0*o = b*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39365218 - -39365220.2000009. Let r = -9 + 6.8. Let y = r + q. Round y to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -5*o**4\/4 - 200*o**3\/3 + 2165*o**2\/2 - 1960*o - 5892. Find c, given that f(c) = 0.\nAnswer: -49, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 654 - 451. Let h = 328 - j. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -4.4, -2, 3?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 108 - (-3 - 1) - 1. What is the greatest common divisor of 74 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 6*x - 1. Let u be a(4). Let g be (1 - 4\/2) + u. Suppose z - 8 - g = 0. 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: What is the value of (-100)\/900 - 124\/18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30435880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -d - 3840. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65046 + -31890. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/19)\/(s\/s**2))**(-46) assuming s is positive.\nAnswer: s**(-966\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 508.3 - 597. Let t = -89 - f. Let j = 1 + -1.2. Which is the smallest value? (a) j (b) t (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124125 + -13?\nAnswer: -124141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3 + 19. Let m(h) be the second derivative of h**4\/12 - 3*h**3\/2 + 3*h**2 - 9259*h. What is m(d)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/22)\/((-2)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 13*c**4\/2 + 15*c**2\/2 + 33*c - 8. Let q(w) be the first derivative of b(w). Find the first derivative of q(t) wrt t.\nAnswer: 156*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -16*w**4 - 5*w**2 - 5*w + 15. Let z(x) = -17*x**4 - 6*x**2 - 6*x + 14. Let r(b) = -6*v(b) + 5*z(b). Differentiate r(y) with respect to y.\nAnswer: 44*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 11, 2\/9, 3, 28\/11, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1189\/236 at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 616830 and 1740?\nAnswer: 1233660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10*u - 37. Let m be c(6). Suppose -3*g + 31 + m = 0. Calculate the least common multiple of 24 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 11*k**2 - 2*k**2)*(-1 + 1 + 3*k) + (2 - 1 + 0)*(-k**3 - k**3 + k**3) - 2*k**2 - k**3 + 2*k**2.\nAnswer: -44*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = -3. Let t be n\/(-4) + 26\/8. Does 11 divide ((-52)\/6)\/(-1)*t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -33 - 97. Let r(h) = 2 + 7*h + 5*h - 7*h. What is the remainder when l is divided by r(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-2)*4\/3. Suppose -9*d + 13*d + 20 = 0. Put d, c, 5 in increasing order.\nAnswer: d, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3310 (base 4) in base 12?\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - k**3 - 4)*(-251 + 667 + 706).\nAnswer: -1122*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 20 = 3*l. Let k = 8 - l. Let z be (-10)\/(-4)*(-4)\/(-5). Solve 0*t + 4*p - 8 = -k*t, -z*p + 1 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15254699 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 76*b**2 + 307*b + 385. Calculate q(-72).\nAnswer: -983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251307?\nAnswer: 3, 7, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3\/5, -1, -0.4, 109 in ascending order.\nAnswer: -1, -3\/5, -0.4, 0.1, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470703155.\nAnswer: 3, 5, 98046877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -17, 27, 139, 349, 687?\nAnswer: 1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(11)*-3 + -3 + 5 + sqrt(24)\/(-3*sqrt(12)))**2.\nAnswer: -40*sqrt(2)\/3 + 236\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21935622?\nAnswer: 2, 3, 3655937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1510\/(-6342))\/(30\/36 + -1)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3476680*r**4 + 1210*r + 113 wrt r?\nAnswer: -41720160*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2683253, 5366512, 8049771, 10733030, 13416289, 16099548?\nAnswer: 18782807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 550281816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2052326196 to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5 - 3*r - r + 3*r. Let f(t) = t - 6. Suppose -4*l - 26 = 3*m, -l + 5*m = l. Give l*k(p) - 4*f(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 7. Let g be v(3). Solve 5*s = 3*s + g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -761 divided by -761.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 7*z**2 + 13*z - 12. Let c(a) = a**2 - 2*a - 9. Let t be c(-3). Is h(t) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 95.044 and -11.\nAnswer: -1045.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*h + 32, -15*h = -17*h + 12. Let g(o) = o**2 - o. Let k(t) = -4*t**2 - t + 5. Determine r*k(s) + 2*g(s).\nAnswer: -2*s**2 - 3*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5)*(2*m**3 + m**3 + 0*m**3) - 2*m**3 - 5*m**2 + 5*m**2 + (m + 0*m - 2*m)*(-m**2 - 3*m**2 + 3*m**2).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2355*a**3*y**2 + a**2*y**2 - 7*a*y**2 + 10*a*y - 3*y**2 wrt a.\nAnswer: 14130*a*y**2 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**3 - 5*g**2 - 5*g + 7. Suppose -b = b - 4. Let f(q) = 2*q + 4 - 5 - 2 + b*q**3 + q**3 + 2*q**2. Determine -5*f(d) - 2*p(d).\nAnswer: -d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -179ac (base 13) in base 7?\nAnswer: -246645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -61, -168, -381, -736, -1269, -2016?\nAnswer: -3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**5 - 550*m**3 + 152*m**2 - 14*m - 1 wrt m?\nAnswer: -300*m**2 - 3300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 4, f: 5}. What is prob of picking 1 f and 1 g?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 59955838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 7*v**2 + 10*v - 9. Let z(g) = -g**3 + 16*g**2 + 19*g - 42. Let d be z(17). Give m(d).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 25 = 4*w. Let n(r) = -6*r - 28 + w + 3*r. Let v be n(-4). Solve 4*s = -5*o - 8 - v, -3*s - 6 = -5*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 4) + -8 + -1 + 66 + -23 + -43\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*r = -3*r - 17, -2*r - 14 = -2*w. Suppose -w*j = 37 + 3. Let c be 1 + j\/((-6)\/3). Calculate the highest common divisor of 9 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40313 - 13024321?\nAnswer: -13120134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -17608*v**2 - 17704*v**2 + 35108*v**2 + v**3 - 5*v**3 in the form o*v + a*v**3 + f + c*v**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 695398.45 rounded to the nearest 100?\nAnswer: 695400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 50?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -33*c - 112. Does 20 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 491799 and 5761074?\nAnswer: 40327518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 10. Let t be y(-3). Calculate the common denominator of -5\/12 and 0\/t + (0 - 171\/66).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 155*i**2 - 280 + i**3 + 0*i**3 + 0*i**3 - 430*i - 3*i**3.\nAnswer: -5*(i + 1)*(i + 2)*(i + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370 and 3034.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -23*f - 12012. Let z = f + 453. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 4*t - 6. Let b be f(9). Let p = b - 20. Suppose 4*m - 123 = 101. Calculate the remainder when m is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*h + 20031*h**2 - 109*h + 98*h + 18325*h**2 to the form m + o*h**2 + z*h and give o.\nAnswer: 38356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7*s = -2*s + 57, -3*s - 16 = -f. Suppose -5*m + c + 17 = -f, 0 = 2*m - 4*c - 12. Solve 4*u = m*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/d**(-5\/14)))**21*d\/d**26*d\/d**12 assuming d is positive.\nAnswer: d**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 16. Suppose 4*q + 8 = -4*u, 4*u - 4*q = -9*q - k. Suppose 0*x - 11 = -x. What is the greatest common divisor of u and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*c = 32, h - 6*h = 4*c - 44. Let b be (h\/15)\/((-12)\/(-10)). Let j be 2\/(-7)*(2 + -3). What is the second biggest value in 0.1, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and -0.03.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*o**3 + 5 + 37*o - 2*o**5 - 5*o**3 - 6*o**5 - 42*o wrt o.\nAnswer: -160*o**3 - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*d = -5, l - 41*d + 38*d + 7 = 0. Let i = -12 + 5. Let n be 2\/i + 45\/84. What is the nearest to n in l, -2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 898719, 1797502, 2696285, 3595068?\n\"Answer: 898783*s - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*h**2 - 134*h**2 + 269*h**2 - 3*h + 3*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*s - 3 = -0*i, 3*s + 45 = 5*i. Let o be (12 + 4)*3\/i*2. What is the lowest common multiple of 2 and 1 + (1 - 1 - (o - 9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**5\/4 - 2841*v**4\/4 - 167796*v**3 + 168507*v**2 = 0.\nAnswer: -474, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -58\/25, -3, 2\/19, 2\/7?\nAnswer: -58\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.02. Let p = 211 - 211.02. Let i = m + p. What is the nearest to i in -2\/3, -1, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysrs when four letters picked without replacement from rrrrryrrrsrrrrrss?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 60 = -3*o - o, 31*s + 5*o + 64 = 35*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -3 + -35 + 39 - -1014. Calculate the highest common divisor of 35 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 3*d + 33, 2*b + 95 + 291 = -49*d - 5*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 t, and 1 f when four letters picked without replacement from {l: 4, t: 2, f: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 384, -1, 5, -3 in descending order.\nAnswer: 384, 8, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*o - 228 wrt o?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 14. Let n be 3*1 + (14 - 7)\/i. Suppose -n*o = -4*l - 48, -2*o - 4*l + 14 = 2. What is the highest common divisor of o and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - f**2 - 2*f + 74. Let p = -29 - -44. Calculate the remainder when v(0) is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102667*g**5*w - 49*g**2*w + g*w + 3*g + 77856*w wrt g.\nAnswer: 2053340*g**3*w - 98*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.45 minus 23509805?\nAnswer: -23509662.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5513, -60, -16.\nAnswer: -5513, -60, -16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 1. Let d(h) = h**3 - 3*h**2 - 4. Suppose 25 = 4*n - 2*p + 7, 0 = -3*n + 2*p + 15. What is n*y(v) - d(v)?\nAnswer: -v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/6 - (0 + (-2)\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10}. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by (1 - (-3)\/(-12))\/(2\/248).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 72898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 5) to base 2.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1840, -7204, -16128, -28606, -44632, -64200?\n\"Answer: w**3 - 1786*w**2 - 13*w - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 + j**2 + 290 - 643 to the form g + i*j + d*j**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2176)*3*2)\/((sqrt(242)*2 + sqrt(2))*-1).\nAnswer: -48*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 80802 divided by -4\nAnswer: -40401\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 7. Let o be x(5). Does 13 divide ((2 - o) + 3)*13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r - 1 + 4*r)*(9 + 1 - 32 + 2 + 1 - 5 + (-3 + 7 - 3)*(-2 + 1 + 2) - 2 + 0 + 0)*((2 - 2 + 1)*(2 + 2 - 3) + 3 + 1 - 5 - 2 - 6 + 5).\nAnswer: 75*r - 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (3 - -1) - 1. Suppose i = 4*o - 3. Let z(w) = -14*w**2 + w - 1. Let j(m) = 15*m**2 - m + 1. Let n(x) = -6*j(x) - 7*z(x). Give n(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 885930 is divided by 145?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000505465 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26435 times -5\nAnswer: -132175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2248, -2070, -1892, -1714, -1536?\nAnswer: -1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - x**2 - 8. Let o be v(3). Suppose -3*p = 2*p - c - o, -3*p + 5*c = -6. Let z(a) = 14*a**3 + 4*a + 3. Is 43 a factor of z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((975\/90)\/13)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*d - 3)*(-4 + 0 + 3) + 6*d + 32*d + 84*d to s*d + q and give s.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7. Suppose 4*i = 3*c - 35, 5*i + 8 + 2 = -3*c. Let l(h) = 3. Let q(j) = c*l(j) + 2*o(j). Let w(n) = n - 2. What is 4*q(x) + w(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.76 less than 0.04275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*8\/140 - (2 + 13)\/3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3566*r = -3995*r - 982930 for r.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1184 - 84 + 168 - b)*(0 - 2*b**4 + 0) + b**5 - 2*b**5 + 0*b**5.\nAnswer: b**5 + 2200*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 11) in base 5?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3598*x + 184045*x**3 - 3598*x.\nAnswer: 184045*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + z**2 - 6*z**2 + 7*z**2 - z**2.\nAnswer: z**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 4*c + 3. Let n be (-1 + 3)*2 + 0. What is the units digit of p(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14425 - 104\/(7 - 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6353*d - 1394*d + 7 - 4961*d.\nAnswer: -2*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1549*b**2 - 770*b**2 - 778*b**2 - 7*b - 1. Determine y(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kybgynl. Give prob of sequence gb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -108765 - 4\nAnswer: -108769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 13*b**2 - 39*b + 76. What is f(2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6665004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = 0, -335*c = -333*c + 2*x - 10. Suppose -5*i = -1 - 14. Sort c, -5, i.\nAnswer: -5, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15*x - 6. Let a(i) = 15*i + 5. Determine -4*a(v) - 3*w(v).\nAnswer: -15*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 20 = -5*u, 3*i + 18 = -u + 4. Suppose 3*o = 3*g - o + u, -2*o = 5*g - 7. Sort 0, -2, g, 14.\nAnswer: -2, 0, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-144) - 21*91\/945.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 23 = -533*s + 521*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03754 minus -3?\nAnswer: 3.03754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 323*h**2 - 8723*h - 7. Determine j(27).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1321, -4, 1, -158, 4 in ascending order.\nAnswer: -158, -4, 1, 4, 1321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3971984mm in nanometers?\nAnswer: 397198.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199945 is divided by 49977.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27f - 139d?\nAnswer: -161c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*l = 5462 + 2, -3*l = -2*q + 2736. Let o = 5566 - q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287312522 is divided by 591178?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7424710.\nAnswer: 2, 5, 193, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 4*h**2 - 2*h - 2. Let s be k(-4). Suppose 11 - 35 = -s*v. Suppose -40 = -5*l + 50. What is the lowest common multiple of l and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 32*n**2 + 32*n - 32. Determine m(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -509, -1, 3, 2.\nAnswer: -509, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185415 is divided by 221.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 649839 and 12?\nAnswer: 2599356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452 + 6*f + 48*f**2 + 56*f**2 - 7*f + 86*f**2.\nAnswer: 190*f**2 - f - 452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18799092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -2 - (0 - -3) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 75, 170, 301, 468, 671, 910?\n\"Answer: 18*p**2 + 5*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 12:19 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 + 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + 401?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 3799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10832717*o + 10832717*o - 2*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3522 take away -2.359?\nAnswer: -3519.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.05, -33, 3\/8, -2\/3, 4\/5, 285, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**3 - 9*a + 8. Let n(r) = 7*r**3 - 10*r + 9. Suppose -z - 2*q + 28 = 33, 0 = -5*z - 5*q - 5. Let d(o) = z*c(o) - 2*n(o). Factor d(p).\nAnswer: (p - 2)*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76501.7ml?\nAnswer: 76.5017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, -4.9, 22, -5, 0.3, -4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*k - 118*k + 269*k**2 + 0 - 2 - 270*k.\nAnswer: 269*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 952\/5*r - 12\/5*r**2 + 0 - 4\/5*r**3 = 0. What is r?\nAnswer: -17, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1302\/8680)\/((-3)\/3*1\/(-5))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m - 4*m + 3*m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/4188368 and 71\/62825520.\nAnswer: 62825520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-19)\/5 - -4). Put f, 5, -8 in decreasing order.\nAnswer: 5, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*c = -55*c - 152. Let t(u) = u**3 - 3*u**2 - 5*u - 10. What is the remainder when t(5) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 12 = 4*n, 4*g - 38 = 5*n - 23 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/243 and -47\/81.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*d + 53*d + 148*d + (3*d + 3*d - 4*d)*(0 + 2 - 3))*(1057 - 48*d**4 - 1057).\nAnswer: -8832*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194 and 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9*3 + (-1 - -2) is divided by 24\/15*(-30)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 r when three letters picked without replacement from rrerrrrr?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -0*i + 2*t + 3, 5*i + 2*t = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -1)\/(1\/1). Suppose 5*g + 3*f = 97, r*g - 2*f - 9 = -g. Suppose 2*s = -2*y + 14, g = s + 4*s - y. Solve -2*x - 2*x = s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (1 - (11 + -8 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 2464 = -23*b. Which is greater: 173 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1568 is divided by 799.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 60185*f - 421267. Calculate w(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 63 = 5*i, -i - 119 = -3*m - 0*i. Calculate the remainder when 139 is divided by 1 + 1\/(2\/m).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10*h - 5*h = 2, 0 = 2*d + 2*h - 8. Solve -4 = d*t - y + 3, 5*t - 5*y + 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpx when three letters picked without replacement from {b: 2, p: 8, x: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68 or -11?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -130*h + 140*h. Suppose -h*o + 12*o = -21. Factor -4\/5*j**5 + 0*j**o + 0*j**4 + 0*j + 0*j**2 + 0.\nAnswer: -4*j**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26746842 is divided by 71?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b2 + -3?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 74\/125 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*sqrt(32) + -1)**2 - (1 + 1*sqrt(3200)).\nAnswer: -120*sqrt(2) + 803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 3 (c) 72 (d) -1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5961427 + 5977536 = 181*z for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1 (b) 0.1 (c) 1\/8 (d) -239\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*i - 2*i = 83, -2*i = -3*p - 50. Is 1\/((p\/1212)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40 - 73*b + 40)*(-b**3 - 12*b**3 + b**3) as i*b**2 + j*b**3 + a*b**4 + n*b + y and give a.\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(18) - -4*(sqrt(19) + 1 + sqrt(19))**2.\nAnswer: 49*sqrt(19)\/3 + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**6*h**(3\/7)*h**(-2\/7)\/h**(-1\/4) assuming h is positive.\nAnswer: h**(179\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f + 4*f + 5*f)*(-4 + 2 + 3) as l + b*f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 4. Suppose -11 - 21 = -4*n. Let w be c(n). Suppose w*k = 88 - 12. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*k, 5*z - 2*z + 3*k = 45. Suppose 5*v - z - 3 = 0. Suppose -44 = v*f - 180. Calculate the least common multiple of 22 and f.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60832 divided by -15208?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 565208 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2 - (-75)\/100. Sort a, 1.33, -2\/19 in descending order.\nAnswer: 1.33, -2\/19, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 80, 0, 18.\nAnswer: 0, 1, 2, 18, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 13*z**3 + 2*z**2 - z. Let l be g(1). Let b = 16 - l. Solve -b = -2*y - 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1515114336 + -1?\nAnswer: 1515114335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353436608 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 9 = -21. Solve -5*b - 22 = d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (25 + 7 + 57877)\/1.\nAnswer: 3, 97, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 + 2)*(4 - 2 - 3) + 59 + 34 - 31)*(2*g**2 - g**2 + 5*g**2) to v*g**2 + r*g + p and give v.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13240\/3 - -4441. Which is the biggest value? (a) -0.2 (b) l (c) 8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3 - 16\/(576\/(-204)). Let o = 22\/9 + -28\/9. Which is the nearest to o? (a) -1\/3 (b) 2 (c) -4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14060 and 2086580.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - t**2 - t - 4. Does 11 divide k(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2037277978 - -30412485671381\/14928. Let x = u - -4\/933. Find the common denominator of -61\/4 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*(17*n**2 + 7*n**2 - 131*n + 131*n) in the form a*n + j + s*n**2 and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 - -0.4. Let q be -2 - 5\/(-3) - (13 + -13). Suppose -16 = 2*h - 4*z, 0*z = -5*h - 3*z + 25. What is the third smallest value in r, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1506 - 1026. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21 + 6?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 12*w**2. Let i(p) = 3228935 + 4*p - 3228935 + 625*p**2 - 4*p. What is t(i(b))?\nAnswer: 4687500*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 10*h)*(0*h + h + h)*(3 - h - 3) - 53109*h**2 - 351*h**3 + 53109*h**2.\nAnswer: -367*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 941, 1979, 3711, 6137, 9257?\n\"Answer: 347*h**2 - 3*h + 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7926 + -8348.3. Let a = -423 - t. What is the second biggest value in 4, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/5 + 13717*l\/5 + 109672\/5 = 0.\nAnswer: -13709, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 23*r - 20*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 15817 and 15817 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 9*f + 0*f**2 + 0*f**5 + 17 + 1\/180*f**6 + 0*f**3 - 1\/18*f**4. Let r(v) be the first derivative of n(v). Factor r(d).\nAnswer: d**2*(d - 2)*(d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 + -21. Suppose 0 = 4*v - 2*f - 19 - a, 10 = -2*f. Suppose -9*u - 7776 = -90*u. Calculate the highest common divisor of v and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-three tenths of a kilogram?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a factor of 929811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -2*a + 53864, -4*a - 8536 = -3*r + 14534. What are the prime factors of r?\nAnswer: 2, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/6, 1\/7, -2, -5, -0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in decades?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9720394.2 + -0.21723?\nAnswer: 9720393.98277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -439*l**3 + 742*l**3 + 959*l**3 + 97*l**3 + (l**2 - 2*l**2 + 4*l**2)*(2*l - 6*l + 2*l).\nAnswer: 1353*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 8 = -13*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.05248 to 2 decimal places.\nAnswer: 10.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 66. Let n = 47 - l. What is w in -17*w - 19*w - 9 + 3 + 4*w**n + 28*w + 8*w**3 + 2*w**4 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-3)\/(-18)*87*-1). Which is smaller: v or 0.06?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 96.6 and 3.1.\nAnswer: 99.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from wccpccw.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4911 + 4910.5. Which is the nearest to -2\/3? (a) 5.1 (b) h (c) 3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 58*d. Let b(h) = 5*h. Let a(t) = t. Let u(n) = 4*a(n) - b(n). What is l(u(y))?\nAnswer: -58*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55359 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 28, 71, 132, 211, 308, 423?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 169 + -161. Let g = -46 + 54. Let c be 36\/g + 4\/l. Solve -2*x - 4*a + c = -11, 3*a = 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -3 - (-52 + 36)) + -41?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r. Let o(n) be the second derivative of -254*n**3\/3 - 1607*n. Determine f(o(y)).\nAnswer: 2032*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 3 - 3 - 7 - 172*f - 1 as a + q*f and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/587967 and 65\/27.\nAnswer: 5291703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 517.2 and 70.\nAnswer: 36204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (1\/(-2) + 0)*-4. Find o, given that -16*o**2 + 12*o**2 + 4*o**4 - 16*o**c + 16 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 315701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5\/3 + 37558*l**4\/3 - 601252*l**3\/3 + 1177660*l**2 - 3007050*l + 2819250 = 0.\nAnswer: -18795, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**2\/2 + 7604. Let z(c) = c**3 + 5*c**2 - 2*c - 5. Let f be z(-5). Give y(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 2 (b) -7 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 29 - 9. Suppose 34*u - 434 = 3*u. Solve m*y = -5*t - 3 - u, 11 = -4*y + t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.400561 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581519564?\nAnswer: 2, 41, 3545851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35 - -3?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 37\/30*w**6 + 1\/20*w**5 + 0*w**2 - 19\/3*w**3 - 34*w + 2 + 0*w**4. Find the second derivative of s(t) wrt t.\nAnswer: 444*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Suppose 0 = 5*p + 4*b + 5 - 23, -5*p = 5*b - 20. Calculate the remainder when p is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -287 + 158. Let n = -73 - s. What is the highest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*w - 25*w + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3120*d**4 - 3*d**3*u - 3063*d - 90961608*u with respect to d.\nAnswer: 12480*d**3 - 9*d**2*u - 3063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-112)\/388 - (-1)\/5)*5\/(-2) and 39\/679.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-g + 2*g + 0*g) - g - 2*g + g + g - g - 2*g - 79 - 35 + 180 - 50 - 708*g.\nAnswer: -713*g + 16","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2032\/(-12))\/((-16)\/12)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 4*g + 5*g - g + 10.\nAnswer: 4*g + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.9 - 6.43. Let o = t - 0.07. Let x = 0.6 - o. Sort x, -1\/10, 0.4.\nAnswer: -1\/10, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 3*o + 1 - 1. Let n(c) = -c - 1. Let q(u) = u + 3. Let z(s) = 3*n(s) + q(s). Determine r(z(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-352000)\/(-4)*(-1)\/2. What is t rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b4 + 10?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 7*f + 13437. Let p = f - 1037. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*m + 241*m = -3*w - 9601, -4 = -4*w. Solve 2397*c = m*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 15*v**2 - 5*v + 2. Let y(f) = -15*f**2 + 4*f - 1. Determine 2*h(k) + 3*y(k).\nAnswer: -15*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20593, -81786, -183583, -325984?\n\"Answer: -20302*i**2 - 287*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2 = 3*a, 3*a - 2*o + 1 = 2*a. Is 876\/(-6)*(a + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 135554.202us?\nAnswer: 0.000001568914375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2 + 15 + -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from qqvv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - -1.83. Let x = n + -0.9. Let g = 0.11 - -3.89. Is g not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/2*3*(-8)\/240?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlgl when four letters picked without replacement from {l: 3, q: 4, g: 2, b: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 11*t - 10*t + 1523, -5*p + 3803 = -t. Is p a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44737001*n**6*x - 574*n**2*x + 47*n**2 - 30*n*x - 1 wrt n.\nAnswer: -5368440120*n**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(-1*sqrt(144)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -203001?\nAnswer: -202441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 218214*p**3 - 2*p + 90006 wrt p?\nAnswer: 654642*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*f**2 + 16 + 47*f**2 - 15)*(2*f**2 + f**2 + 0*f**2).\nAnswer: 300*f**4 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -44139.\nAnswer: -882.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 1, p: 1, k: 1, t: 1}. What is prob of sequence xp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**3 + 11*z**3 - 74 + 151 - 79 + 16*z**3.\nAnswer: 6*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*q - 0*q + 4*k, -4 = 4*q - 4*k. Let p(r) = 2*r**2 - r + 7. Let m be p(3). Let x be -9 + 8 + 24\/m. Is x >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1515, 3, -147?\nAnswer: 1515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -494*o**3 - 52*o**2 + 52*o. Let k(s) = 29*s**3 + 3*s**2 - 3*s. Calculate -3*d(h) - 52*k(h).\nAnswer: -26*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 6 + 16. Solve 44 = -11*r - a*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 6*v**2 - 2*v + 2. Let z be m(-6). Let o = 33 + z. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k - 9 = 0. Suppose 4*p = -2*u - p - 10, k*u - 3*p = 27. Let g be ((-3)\/(-9))\/(1*1\/(-9)). Put u, 4, g in ascending order.\nAnswer: g, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 404742712 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkgc when four letters picked without replacement from gxqkxkvvc.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**3 + 66*i**2 - 136*i - 3. Give g(9).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2)*-316)\/(3 - 1). Let t be (-7)\/(63\/6)*-93. Let w = r - t. What is the remainder when 134 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3763 - -4285926\nAnswer: 4282163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -60 (b) -1 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 0*s**2 + 0*s**2 + 6 + (-1 - 2*s + 1)*(3*s - 6*s + s) to the form b + x*s + t*s**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 384 = -56*s + 54*s, 2*d + 3*s - 25 + 80 = -73 for d.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4805899991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52*v**3 + 95*v**2 + v - 9036?\nAnswer: 156*v**2 + 190*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/3 - 1276*v\/3 - 1288.\nAnswer: 4*(v - 322)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-10) + 18\/(-180). Calculate the remainder when (-2)\/(z\/10*-4) - -90 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5920*b - 6. Let n(s) = -8890*s - 8. Determine -7*a(r) + 5*n(r).\nAnswer: -3010*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dynyyedyndyr. What is prob of sequence yy?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165 - -169. Suppose 0 = -u - d*t + 2103, 3*u - 7*u + 8374 = -3*t. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -542?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/30 + -1)*96\/(-9) + (-8)\/10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 19 - 1 = 0. Let k(h) = w + h + 0 - 3. Give k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59 less than -2.4?\nAnswer: -1.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 482608*l**5 - l**3 - 752*l**2 + l - 319 wrt l.\nAnswer: 28956480*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58 and 475.09?\nAnswer: 27555.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 7*m - 6. Let h be i(5). Let x = -65 - -65. Let q be 13\/2 - 0 - (-189)\/(-126). Solve h*r + 6 = -x*r - 2*y, 3*r + q*y = 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/2660 + 20\/(-171).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 7:53 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 14949*a - 194496. Determine j(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 554 - 561. Let n(l) = l**2 + 4*l - 8. Give n(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288324508 is divided by 55224.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 293903189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-16)\/(v**(-23)\/v))**(1\/23))**(-39) assuming v is positive.\nAnswer: v**(-312\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/d**0*d)\/d))**5\/(d*d**0)**(-7\/9))**23 assuming d is positive.\nAnswer: d**(161\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 31\/2 of a second?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:31 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4562221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-588)\/49 + 138\/(-6). Sort 3, i, -1, 60 in descending order.\nAnswer: 60, 3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -529.7257 and -0.5.\nAnswer: 264.86285","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 6004.00003169 - 6004. What is m rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*g + 4257 = 2971 - 7742 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -67*m**2 + 875*m + 875. What is x(-1)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**5 + 0*i**5 - 3*i**5)*(3 - 1 - 5).\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1931, 4, -2 in increasing order.\nAnswer: -1931, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 474 and (1*-1 + -9 + 17)*(-22 + 24).\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5*u + 5*u)*(0 - 4 + 3)*(3 + 8 - 1) + 0 - u + 0.\nAnswer: -31*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + y - 5)*(-158*y**4 - 74*y**4 + 46*y**4) + 4*y**5 + 2*y**4 - 3*y**5 + y**5.\nAnswer: -184*y**5 + 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10887*d - 15864*d + 7630*d.\nAnswer: 2653*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5*-2*sqrt(65))\/((sqrt(20) - sqrt(5))*-4))**2.\nAnswer: 337\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let y = 15631\/46884 - 1\/15628. Put 2\/13, 1\/2, d, y in descending order.\nAnswer: 1\/2, y, 2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079551 a multiple of 1193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**4 - 6*n**3 - 7*n**2 + 72*n.\nAnswer: 48*n - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38248862 a multiple of 409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.29901 times 2\nAnswer: 0.59802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 9. Let s = 0.8 - y. Is 0.2 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 114912646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 1801\nAnswer: -180.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 4*d + 2. Determine p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v**2 + 5*v + 2. Let y be t(-3). Solve 5*o = 20, -3*b = y*o - o - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 704 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9169322 is divided by 1777.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgg when three letters picked without replacement from {g: 3, r: 11}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1036443473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 10 + 4 = i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 4*sqrt(72)*2)\/(sqrt(150)*1 + sqrt(6)))\/(sqrt(4)*3*-1 - (sqrt(576) - 3*sqrt(576) - sqrt(576))).\nAnswer: -7*sqrt(3)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Suppose -2*h = 2*z - y - 18, 40 = 3*h + 5*z. Solve 0 = 5*o + 4*g + 3, 0 = -3*o + h*g - 33 + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 921 + 51*z**3 - 921 + (z**2 + 5*z - 5*z)*(3*z + 4 - 4) - 4*z + 2*z**3 + 4*z + z**3 - 2*z**3 + 2*z**3 as d + g*z + h*z**2 + x*z**3 and give x.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c + 165. Let h = -8 - -65. Calculate the remainder when h is divided by z(-17).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -169, 3, -76, 4 in increasing order.\nAnswer: -169, -76, 3, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*t**4 - 3776*t**3 - 1118588*t**2.\nAnswer: -408*t - 22656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**24\/r)*r\/(r**(1\/16)\/r)*(r**(-29))**(-1\/20) assuming r is positive.\nAnswer: r**(-1489\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 33*r + 7. Let h(d) = 11*d + 2. Determine -7*h(u) + 2*z(u).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mummmmmuuubbmummmmm?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -521 - -555. Calculate the remainder when 67 is divided by o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 495, 992, 1487, 1980, 2471, 2960?\nAnswer: 3447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 17*u**2 + 18*u - 21. Does 19 divide k(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 18.7\nAnswer: 3.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 17. Let t = -8 + d. Let y(k) = -2*k + 1. Let l(m) = 2*m - 1. Calculate t*l(x) + 3*y(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t = -65. Solve -v + 11 = -3*x - 3*v, -3*x = v + t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 15 = 3*o. Suppose -o*y + 10 = -0*y. Find the second derivative of -c**3 + 10*c**3 - y*c**3 + 18*c - 12*c wrt c.\nAnswer: 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8423492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*q + 103*q - 357 = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56355 and 289.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 12:58 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101234 - 1300311?\nAnswer: -1402100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 27*l - 48*l + 0 - 85*l.\nAnswer: -106*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + sqrt(272).\nAnswer: -5 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - -28. Suppose -11*b + 261 = -w. What is the remainder when 269 is divided by b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/26 - 5832\/117. Let n = -29 - h. What is the remainder when 61 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j**3 - 3*j**2 + 3*j - 2. Let y(l) be the third derivative of -3*l**6\/10 - 4*l**5\/15 + 2*l**4\/3 - 5*l**3\/3 - 34*l**2. What is -16*r(z) + 3*y(z)?\nAnswer: 4*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 19*s**3 + 6*s**2 + 6*s. Let b(d) = -38*d**3 - 11*d**2 - 11*d. What is -6*b(o) - 11*l(o)?\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 99, -3, 294, -7 in ascending order.\nAnswer: -7, -3, 0, 99, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10483*0.5\nAnswer: -5241.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-5))\/(-6 - 120\/(-25))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3+-15609419998\nAnswer: -15609420001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 e, and 1 h when four letters picked without replacement from vhvelev?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69992340*h**3 + 143*h - 219128?\nAnswer: -419954040*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2945*c - 20611. Determine l(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7841823 tonnes in kilograms?\nAnswer: 784.1823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48396*m**4 + 1137 with respect to m.\nAnswer: 193584*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*g + 52 = 0, -4*s - g + 75 = -0*s. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 14*m = -m. Are m and 21\/20 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27775*a**2 - 24314*a wrt a?\nAnswer: 55550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148194767*j**3 - 957644*j + 21.\nAnswer: -889168602*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00097777 to 6 dps.\nAnswer: -0.000978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from duarad?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10661917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28590791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0065633 years in months?\nAnswer: 0.0787596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7 = -2*f - 0, 4*f + 21 = y. What is the common denominator of -53\/2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -3918.\nAnswer: 15672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425913 is divided by 497.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 - 2*k - 1. Let o(h) = -6*h**2 - h**3 - 3 + 2*h - 5*h - 5. Calculate the lowest common multiple of o(-6) and z(2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 6 - 14\/7. Find the second derivative of 4*h - h + h**3 - 7*h**4 - h**v wrt h.\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168378, 168375, 168370, 168363, 168354?\nAnswer: 168343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96915*k - 96915*k + 1 - 126*k**3 to b*k + w*k**3 + y + f*k**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3551068*g**2*r**3 + 1086*g**2*r**2 - 463*g**2 wrt r.\nAnswer: 21306408*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 2*q**2 + q. Suppose -y - 10 = -6*y. Let v be a(y). Let c = -11401.6 + 11402. Put -2\/9, c, v in descending order.\nAnswer: v, c, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 6. Let m = 2 - d. Suppose -m - 2 = -3*b. Solve -u - b*p = 2, -p - 6 + 5 = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -41*g**3 - 245*g**2 + 143*g + 806. Give n(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/2)\/(-10))\/((-83)\/(51045\/164)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 37974?\nAnswer: -37976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529922829 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: In base 13, what is 13a - 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u - 3. Calculate o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4070 is divided by 131?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147074535 and 785295?\nAnswer: 1029521745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -31 - 47. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -968\/9 - 1144\/9*i - 142\/3*i**2 - 52\/9*i**3 - 2\/9*i**4 = 0?\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suss when four letters picked without replacement from {s: 3, u: 3, z: 7, e: 1}.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5755\/6906)\/(10\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2566974 divided by 16.\nAnswer: 1283487\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 3:10 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide ((6 - 5) + 293)*(-6)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -359*o + 8091. Calculate y(23).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.05603 to two decimal places.\nAnswer: 14.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 80035.7 take away -0.2051424?\nAnswer: 80035.9051424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62919 is divided by 31452.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 8*s + 16*s + 5*u + 75, -s + u + 6 = 4*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 0, -1, 65, -3 in descending order.\nAnswer: 65, 39, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3))**14\/(k**(-5)\/k*k\/(k*k*k*k**2*k*k*k)))\/((k*k\/((k*k\/(k**0\/k))\/k))\/k*k*(k*k\/k**4*k)\/k*k\/(k**(-7)*k)*(k\/(k\/k**0))\/k) assuming k is positive.\nAnswer: k**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1859.\nAnswer: 4\/1859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(288) + 0)**2*6*-2*6.\nAnswer: -20731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.18 + -1.38. Which is the second biggest value? (a) -2\/7 (b) -0.3 (c) x (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -490 divided by 245\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/143 and -87\/2?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/13988799 and 34\/17097421.\nAnswer: 153876789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 927417 and 55581.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -297\/13 - -607\/26. Factor -14 + 17\/2*u + a*u**3 + 5*u**2.\nAnswer: (u - 1)*(u + 4)*(u + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200002221 - -11?\nAnswer: 1200010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 225\/14 - 33\/2. Put -28, z, -1 in increasing order.\nAnswer: -28, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3520\/66)\/((-4)\/(-570)). Round f to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*(-50)\/15. Suppose q*o - 17 = 28. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*f = 28, f - 2*f + 1 = 3*u. Let p(k) = k**3 - 2*k + 8 - 12 - 2*k**2 + 7. What is p(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(8\/(-5))*48\/(-40)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*z - 3*z + f, 5*f - 25 = 0. Let h be (-94)\/2*2\/((-2)\/1). What is the least common multiple of z and 4\/12 + h\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48431*g + 48381*g - 96096*g.\nAnswer: 716*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 8*s**2 + s + 6. Let q be 31\/4 + (-1)\/(-4). Let m be d(q). Suppose -n - 70 = -3*n. What is the highest common divisor of m and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99.54787 litres?\nAnswer: 99547.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 222.\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/7)*i*(i\/(i*i**9*i))\/i*i)**(-2\/17))**(2\/65))**(-5\/9) assuming i is positive.\nAnswer: i**(-244\/13923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 59.3\nAnswer: -63.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(-13\/4)*f))*f*f**(-14)*f*f**(-18)\/(f\/(f**(2\/41)\/f)*f))**(6\/25) assuming f is positive.\nAnswer: f**(-17319\/2050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (0 - 2) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7712 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from {e: 2, y: 1, z: 5, d: 1, l: 2, m: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**2 + 4*b - 3. Is w(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -9*y**2 - 215*y + 50. Determine d(-26).\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((1 + sqrt(180))*-5 + -5 - -1*(-5 + sqrt(5) + 0 - sqrt(5))*3)*-2)**2.\nAnswer: 30000*sqrt(5) + 102500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172371?\nAnswer: 3, 57457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -455?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**4 + 40*q**3 + 144*q**2 + 224*q + 128 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31541046 and 0.1.\nAnswer: -3154104.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, u: 4}. Give prob of sequence eeeu.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**3 + 2*c**2 - c + 2. Determine t(-3).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 0*z**3 + 0 + 0*z**2 - 13*z + 1\/6*z**4. Let q(u) = -2*u. Determine y(q(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -904, -903, -902, -901, -900?\n\"Answer: g - 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 10*k + 6. Suppose -3*o + 43 = -5*m, 5*o - 5*m = 59 + 6. Let n be r(o). Let p = -4 - n. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3758 is divided by 3645?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -15*v**4 - 5*v**3 + 553378 - 5*v**5 + 55*v**3 - 553378 = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*f + 12. Suppose -f*p + 2*p = -31. Calculate the remainder when p is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7 - -25?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -440, -4206, -10470, -19220, -30444, -44130, -60266?\nAnswer: -78840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6451 times 3?\nAnswer: 19353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 71.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/3625 and -32\/2233.\nAnswer: 279125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millennium in years?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.711252 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**3*w**2 + 61*u**3*w - 13*u**3 - 27*u**2*w + 153*u*w**2 wrt u?\nAnswer: 6*w**2 + 366*w - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16155 + 4\nAnswer: -16151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.059278*-186.\nAnswer: -11.025708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**5\/7 + 255*q**4\/7 - 2316*q**3\/7 - 1332*q**2 = 0?\nAnswer: -3, 0, 14, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13161682.\nAnswer: 2, 6580841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*g - 187302259 = -187296285 for g.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*l - 19272 = 0, -25710 = 2*v - 6*v + 3*l. Let -6*c**5 - v*c**2 + 6432*c**2 - 9*c**4 + 9*c**3 + 0*c**3 = 0. Calculate c.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7515.086 millilitres?\nAnswer: 7.515086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9562207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29558022 to the nearest integer?\nAnswer: 5437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2, -339 in descending order.\nAnswer: 0, -2, -5, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -p. Let c = 3 + p. Suppose 6 = -c*n, -4*n - 46 - 2 = -3*j. What is j rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-35)\/((-2065)\/59))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12369*m - 382531 - 361085 = -2041*m for m.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990270.\nAnswer: 2, 3, 5, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -156, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (sqrt(1900) + sqrt(1900) + 6*(sqrt(1900) + sqrt(1900) + sqrt(1900)*-3)))**2.\nAnswer: 47500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3201921 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*f - 92*f + 96. Let p(u) be the second derivative of u**5\/20 - u**4 + u**3\/3 - 29*u**2\/2 - 200*u. Calculate p(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*y**3 - 43*y**3 - 2*y - 142*y**4 - 43*y**3 in the form o*y**2 + b + t*y**3 + c*y**4 + h*y and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(10\/8*(-168)\/(-1575))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g**2 - 7*g - 6*g - 2*g**2 + 3*g - 33*g**2 to c*g**2 + z*g + s and give c.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 94780006, 189560013, 284340020?\n\"Answer: 94780007*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 3452 and 3429 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 158186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 362761775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*s. Let i be -2*(0 + s + 1). What is the smallest value in 4, -1\/6, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 427979972*o**2 - 2*o - 204153615 wrt o?\nAnswer: 855959944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71805.\nAnswer: 3, 5, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 + 5*k**2 + 3*k + 3. Suppose -3*c + 5*b = -17, 8*c - 6*c + 3*b - 5 = 0. Let t(i) = 2*i**3 + 4*i**2 + 3*i + 3. Determine c*g(v) - 5*t(v).\nAnswer: 2*v**3 - 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -1\/11 (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5895)\/(-75) - (1 + (-4)\/10). Suppose 2*t + q = 8*t. What is the remainder when 142 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 3 + (-47 - -36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 15. Which is the smallest value? (a) 0.3 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*o**3 + 6*o**2 + 1 + 104*o**3 - 52*o**3 to the form d*o + t*o**2 + j + q*o**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193 + -278 + 20 + 96.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*z**5\/5 - 2172*z**4\/5 + 24692*z**3\/5 + 2295676*z**2\/5 + 605088*z + 200880 = 0. Calculate z.\nAnswer: -45, -2\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -8, -0.7, 4, 3 in decreasing order.\nAnswer: 4, 3, 0.5, -0.7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -341 + 345 - l**3 - 3*l + 4*l**3 - 4*l**3 as t*l + y*l**2 + n*l**3 + r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4 + 20 = -k, -4*c + 36 = 4*k. Solve -l - c = -1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/8 (c) 2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -4. Let z = d - -12. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2115\/(-564))\/((-7)\/(-4)).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 k when four letters picked without replacement from {d: 3, k: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*b + 4 - 6 = 0, 4*a - 3*b = 2. Let n(z) = 2*z - z**a + 1 - 1. What is n(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 693d (base 16) to base 2.\nAnswer: 110100100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 404*l**2 + 404*l**2 + 4*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21297*o**3 + 7840*o**2 + 351682*o + 89 wrt o?\nAnswer: -127782*o + 15680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 6)*(2*x**4 + 5*x**4 - 5*x**4)*((-2*x - 2 + 2)*(4 + 2 - 4) + 14*x + 16*x + 3*x - 1 + x + 1 - x + 1 - 1).\nAnswer: -464*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - 83. Sort j, -1, 2, 5 in ascending order.\nAnswer: -1, 2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19 + 74*p + 20 + 28 wrt p?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -145*d**4 + 25 + 32 + 1091 + 2246*d**4 with respect to d.\nAnswer: 8404*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1131.1 or -20\/7?\nAnswer: -1131.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84 + p**3 - 5*p**3 + 3*p**3 - 3 to the form r + z*p**2 + k*p**3 + b*p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509151 is divided by 1532.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1337399 in 0.3, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-2)*(-5)\/(150\/(-108)). Let q(d) = d**3 + 10*d**2 + 11*d + 20. Let u be q(f). Solve -2*r = u*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (945\/10800*-460)\/(7\/(-4))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 172.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 + 4 = 0. Let z be (-8)\/m - 1\/(-3). Let k = -173 - -178. Put -2, k, z, 15 in descending order.\nAnswer: 15, k, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 16) in base 14?\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/234 + ((-21)\/21)\/(325\/1590).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.01 (b) -5 (c) -7\/8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 - 95. Let u(n) = -10*n. Let v be u(y). Are 5 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16, -2\/7, -21, 98, 1\/3 in decreasing order.\nAnswer: 98, 16, 2, 1\/3, -2\/7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/45120 and -79\/16?\nAnswer: 45120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -643\nAnswer: 37\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6778344.\nAnswer: 2, 3, 29, 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300032221 (base 4) to base 16.\nAnswer: -303a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -48. Suppose 2*o - a = 3*o - 2*v, 2*o + 3*v - 10 = 0. What is the remainder when 3 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24*2 + 0\/(3 - 11). Let c = 51 - j. Find the third derivative of 8*f**6 + 44*f**c + 14*f**6 - 15*f**2 - 44*f**3 wrt f.\nAnswer: 2640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i + 5. Let z(l) = 3*l - 9. Let k be z(4). Let j be 280\/(-42) - 1\/k. Let b(v) = -10*v + 7. Give j*n(h) + 5*b(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 2, l: 2, y: 1, d: 1, p: 1}. What is prob of sequence yp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n**2 + n**2 - 2*n**2)*(0*n - 3*n + 4*n) - 2*n**3 + 3*n - 3*n)*((-1 - 4 + 3)*(0 + 1 - 2) + 88 + 184 - 1 + (-3 + 3 - 1)*(1 + 2 - 1)).\nAnswer: -1084*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) 1\/2 (c) 1\/3 (d) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10145*w - 47284*w - 2878*w + 137*w.\nAnswer: -60170*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -341, -1, -3, -5, 1 in increasing order.\nAnswer: -341, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*k + 95, 0*k - z + 115 = 3*k. Let y(o) = o**3 - o**2 + 32. Let f be y(0). Let n = f + -12. What is the highest common factor of k and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/9)\/((-2340)\/26676))\/(2*(-5)\/(-50)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 807 divided by -807\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-120)\/28 + 2 + 2. What is the second biggest value in -1, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7703045 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*y + 9, -5*y + 3*w = -0*w - 6. Suppose y*v + 33 = 6*v. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7665944 - 0.75\nAnswer: 7665943.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/38 and -33\/598?\nAnswer: 11362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/11220119 and -151\/1565598?\nAnswer: 67320714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53764317 a multiple of 1863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 1764578?\nAnswer: 1764574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a + -271?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 30 + 29 + 4*z - 27.\nAnswer: 4*z + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30384.8 minus 4?\nAnswer: -30388.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuymuuurmbbuuryrrm. Give prob of picking 1 m, 1 r, and 2 b.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 4\/(2\/1). Let i = -0.14 - -4.14. Which is the third biggest value? (a) i (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 16 - 12. Suppose g = w*g - 105. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -48116, -48117, -48118?\n\"Answer: -a - 48115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 107. What is the highest common factor of 42 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/24*(1 - 1 - 2). Solve 2*w = 2, -b*i + 2*i - 7 = -4*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.6 (c) -2\/5 (d) 1.1 (e) -148\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by 41803\nAnswer: 61\/41803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 115 - 173. Suppose -2*a + w = 6*a. What is the highest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16494 * 2229\nAnswer: 36765126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39728\/133755 + 1\/3615. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131\/20 + -23\/4. Find the common denominator of s and (285\/24)\/((-9)\/18).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8288)\/1580)\/(-14) - (-70)\/(-175).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12595, 12602, 12609, 12616, 12623, 12630?\nAnswer: 12637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3 + v - v**2 - 5 + 0*v. Let p be j(-4). Let d = -10 - p. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 923*n**3*y - 11*n**3 + n**2*y - 181*n*y + 85698*n wrt y.\nAnswer: 923*n**3 + n**2 - 181*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 271*p - 13. Let t(i) = -2*i**2 - 640*i. Determine t(f(y)).\nAnswer: -146882*y**2 - 159348*y + 7982","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 + -3. Let w = -2.19 + 0.19. Put h, w, 2\/11 in ascending order.\nAnswer: w, h, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x - 40. Let u be p(-12). Let t = u + -60. Suppose t*k - 24 = -0*k. Solve k*b = -2 + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571.6 take away 0.02?\nAnswer: 1571.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66\/(-99) - (-436)\/6. What is the greatest common factor of i and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {v: 1, i: 1, e: 4, w: 1, z: 1, d: 4}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -496?\nAnswer: -11\/496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205857.\nAnswer: 3, 89, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/3))**(3\/19))**(-2\/15) assuming o is positive.\nAnswer: o**(-2\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 19*f. Let i(l) be the second derivative of l**7\/2520 + 5*l**4\/3 - l**3\/6 + 19*l - 3. Let v(u) be the third derivative of i(u). Give v(c(w)).\nAnswer: 361*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 at least as big as -35987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 222 - 218. Suppose 4*g - 2*m - 17 = 13, -r*g + 37 = 5*m. Solve -9*k + g = -11*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16 - 959\/(-120)) + 624\/4680.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 0*a + 0*a - 10*a**2 + 12*a**2. Let t(r) = -19*r. Calculate y(t(c)).\nAnswer: 722*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - k**4 + 2*k**5)*(-10 + 10 - 21)*((-3 - 1 + 3)*(-1 - 1 + 4) - 2 - 3 + 7 - 1 + 3 + 1).\nAnswer: -126*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 + -1)\/(69\/(-46)) - -5. Sort -3, -74, x, 3.\nAnswer: -74, -3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92.997 - 92.3. Let m = -0.7 + k. Round m to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 2 = -15*t - n, -2*t - 5 = 5*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1492.1 - -1492. What is the closest to 0 in w, 2\/19, 6\/13, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 678631366 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 559264613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 270 = 4*m, 4*m + f + 225 = -42. Let z = m + 103. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 45. Let i be f(15). Calculate the greatest common factor of 25 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 426669, 3, -1.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -256*i. Let d(q) = -q**2 + 57*q + 57. Calculate g(d(r)).\nAnswer: 256*r**2 - 14592*r - 14592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10297 and 2631619?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-3) + 5\/(-15). Suppose 0 - 2 = -a, 0 = -c*h - 5*a + 56. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26753*d**2*w**2 - 2534*d**2*w - 48*d*w**2 - 136*d - 3763*w**2 wrt d?\nAnswer: -53506*w**2 - 5068*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from momwmxx. What is prob of picking 1 w and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 40 + 24. Let t(c) = -65 - j + 132 + 7*c. What is the remainder when t(9) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3673 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 9 - 7, -o = -4*b + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*j**3 + 18*j**3 - 34*j**3 + 56*j**2 to r + f*j**3 + o*j + d*j**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 5*n - 6. Let h be a(3). Is 3\/17 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 - 6.13. Let y = v - -4. Sort 2, -2\/11, y.\nAnswer: y, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/416 and 17\/23.\nAnswer: 9568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 41*x**3 - 13*x**2 + 17*x - 11. Let i(o) = -113*o**3 + 38*o**2 - 50*o + 32. Let c(q) = -4*i(q) - 11*j(q). Calculate c(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30\/221 or 0?\nAnswer: 30\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) 0.04029 (b) 1 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {u: 3, k: 12, a: 1}.\nAnswer: 99\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*o - 20*o + 103*o)*(o - 2*o + 3*o) - 6*o**2 + 3*o**2 + o**2.\nAnswer: 230*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - c + 4. Let r be t(-2). Suppose 2*f = k + 9, -4*f - 2*k + 2 - 4 = 0. Factor -1\/2*n**f - 2 + r*n.\nAnswer: -(n - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 5:23 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1118785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*(-310)\/(-620).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -1287*o**2\/2 + 1799*o - 1356. Find the first derivative of q(b) wrt b.\nAnswer: -1287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -15. Let o = 34 + -24. Calculate the least common multiple of ((-2)\/5)\/(2\/t) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-444)\/(-15540)*(-1 - -64)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84278 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*g = -11 - 10, -5*s + 2*g = -78. Suppose -26*v + 28 = -24. Suppose 3*c + q - 28 = 2*q, v*c - s = -2*q. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12351451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 4, -71, 5, 0, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(288) + -2))**2 + sqrt(1152)*-1.\nAnswer: -72*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 10 = 2*b. Sort 2\/19, 16, b in descending order.\nAnswer: 16, 2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2933, 31, 0, -2.\nAnswer: -2933, -2, 0, 2, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -30*x + 2. Let f be l(-2). Suppose 0 = -4*r + 8 + 4. Suppose f + 73 = r*n. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2110550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 16*f - 85. Calculate n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 167 + 185 = 3*f, -5*x + f + 1760 = 0. Calculate the greatest common factor of 288 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13797651 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42067356 is divided by 21033677.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 187*r = 188*r - 9, 5*r + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/71 (b) -43 (c) 0.01 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -27*p**2. Let v(t) be the first derivative of t**3\/3 + 7. Give f(v(l)).\nAnswer: -27*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 116 = 42. Does 27 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1802.1565 rounded to 0 dps?\nAnswer: -1802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmmmkmmmkmmm. Give prob of sequence mkm.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3707366, 7414737, 11122108, 14829479?\nAnswer: 18536850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**2 - 7996018*i - 2061028.\nAnswer: 4*i - 7996018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3483 divided by -1161\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2070 and (-3556)\/(-196)*(-42)\/4140?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 71566541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1) + 89 + -93.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*o**2 - 70*o**2 - 50*o**2.\nAnswer: -173*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161172 + -8438. What is t rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m - 695 = -6*m - 167*m. Solve -4*u + 5*q + m = -27, -3*u + 4*q = -25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -32. Suppose -3 + g = f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1014 + 0?\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.806329ms?\nAnswer: 0.003806329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -122c + -38?\nAnswer: -1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1569*k**2 + 6 - 11 - 1702*k**2)*(-5*k**3 + 3*k**3 + 4*k**3).\nAnswer: -266*k**5 - 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(833)*3*-3.\nAnswer: -126*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4*p - 5 = 0, i + 0*i + 2*p + 7 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 1:36 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7099, -16020, -24941, -33862, -42783, -51704?\nAnswer: -60625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/11)\/f**28 assuming f is positive.\nAnswer: f**(-304\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.148 - -21.86. Let x = 1.212 + -1.3. Let q = x - j. Round q to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 260*u - 923*u + 184*u + 259*u + 246*u.\nAnswer: 26*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**6\/120 + 3*j**5\/80 - j**3\/6 + 169*j. Factor p(y).\nAnswer: y*(y - 1)*(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -13 + -2 + 221\/119 + 12. Suppose -x = j - 4 - 0, 5*x + 2*j - 8 = 0. Which is the nearest to o? (a) 1\/4 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 16*d + 52. Calculate the remainder when ((-2248)\/(-6))\/4 - (-1)\/3 is divided by i(18).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:33 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 6*x + 4. Let j be o(-3). Let h(s) = -3*s**2 - 8*s - 4. Let v(u) = 4*u**2 + 9*u + 3. Let t(w) = -3*h(w) - 2*v(w). Give t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3617?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*t + 175*t = 30. Let o(x) = 12*x - 2*x + 8*x - 8 + 8*x. What is the units digit of o(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cylryrrclrrracy. What is prob of sequence yr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*z + 46, 0*z - 2*z - 4 = -4*f. Let j = -12 - 5. Let c = -8 - j. Solve -3*u = -c - z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Suppose -12 = -4*y, -4*y + 15 = -b + r. What is the first derivative of -2*m**4 - 2 + b*m + 0*m wrt m?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 - 652*w**2\/5 - 14538*w - 72036\/5.\nAnswer: 2*(w - 414)*(w + 1)*(w + 87)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/22 - (2064\/88)\/(-3). Solve -4*y - 3*r = 6, 4*r + 0*r = -y - x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1966*p**3 + 639*p**2.\nAnswer: -11796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/3)*r*r**7*r**(-2\/23)\/r**(-11) assuming r is positive.\nAnswer: r**(1328\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(1900)*6 + (-2*sqrt(1900)*-2)**2).\nAnswer: -91200 + 540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 - 0.8. Let x = i - -8. Let r = 4.7 - 0.7. What is the biggest value in r, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 142 and -24.706198?\nAnswer: 166.706198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vavaorovso. Give prob of picking 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*l - 3. Suppose 0 = 2*n - 5*j - 3, 0*j + 4 = -5*n + j. Let p be 555\/10 - n\/l. Calculate the greatest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60693 + 121365 - 7*u**3 - 60672.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2)\/sqrt(9) + sqrt(11) + sqrt(396)*6.\nAnswer: 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1425?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t)**50*(t*t\/(t*t*t*t**(-3)*t))\/t**(1\/3) assuming t is positive.\nAnswer: t**(302\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -586\/31 + 553708\/29295. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -602\/5 or -121?\nAnswer: -602\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -345*s + 341*s + 712. What is the remainder when 705 is divided by s?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 269 + -111. Let z = v + -39. Let r(y) = y**3 + 14*y**2 - 3*y - 2. What is the remainder when z is divided by r(-14)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 11*p + 29 = -3*c + 38, -5*c - 3*p = -3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 316814175 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, 33, 130, 231, 336, 445, 558?\nAnswer: 675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -1 + 5 + 1. Let n(p) = -8 - 12*p - p**2 - 8 + w. Let f be n(-11). What is the closest to f in 0.2, -2\/7, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 1339*f + 141850. Give c(99).\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375534003.\nAnswer: 3, 13, 9629077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(3*-18)*-1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7.42*5875\nAnswer: -43592.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 3*d + 0*d)*(-25 + 14 + 231) + 3 - 4*d - 3 in the form a*d + r and give a.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2997 and 648?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 51676*t - 13952499. What is i(270)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(15*-4)*-2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -34. Let v(z) = 2*z + 4. Let q be v(r). Let a(b) = 7*b**2 + 2*b**2 - q*b**2. Let l(k) = -20*k**2. Calculate a(l(f)).\nAnswer: -400*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/(-8) - (-2)\/(-8). Suppose -m = v*j - 6574, -5*j = 7*m - 4*m - 8221. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 1d5b?\nAnswer: -1d61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1645*l**3 - 9*l**2 - 9*l + 9. Let x(k) = 823*k**3 + 4*k**2 + 4*k - 4. Determine -8*i(z) - 18*x(z).\nAnswer: -1654*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246 and 92660?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 1743, 1, -5 in decreasing order.\nAnswer: 1743, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - 3 - (-16 + 9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from lreerrllelxerjel.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39733 + -19994. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249533980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -2. Let o = -18 - -22. Suppose p = o*x - 21. Solve -3*s - 5 = -x*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 61. Let v = -0.5 - -0.42. Which is the third biggest value? (a) n (b) v (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161052 divided by 4?\nAnswer: -40263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -18*b**4 + 4*b**3\/3 - 1588*b**2 - 3306*b. What is the derivative of a(h) wrt h?\nAnswer: -432*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*i - 11, 7 = -5*i - 8. Let x(c) = 22*c - 3*c**2 - 14*c + r + 4*c**2. Give x(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -41. Let x(y) = -9*y**2 + 41*y - 11. Let d be x(4). Let r = d + z. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000627039663 to 7 dps.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6292) - 1*sqrt(6292))\/(sqrt(16)\/(sqrt(12)\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 370386081*l**4 - 55601*l + 150?\nAnswer: 4444632972*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 3*d + 5*q, 0*d - 2*d - 5*q - 31 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9 - 30 = -3*x, 2*x - 26 = 5*v. Suppose -x*s = -16*s + 1485. Calculate the highest common divisor of 45 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(171) + sqrt(171))**2 + (1*sqrt(171) + sqrt(171))*-4.\nAnswer: -12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 5*n + 4 = 12*l, 0 = 4*l + 5*n - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1124086369897 + 1124086369897 + 77*b**3.\nAnswer: 77*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 16 = -4*z. Suppose 4*p - 9 = 2*v + 5, -z*v = -3*p + 8. Suppose 3*s - p*s - 5 = 0, -51 = -3*k + 3*s. 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: Expand -2*a + 4*a - 3*a - a - 2*a + a + 0*a - 3*a + 2*a + 1 - 1 - 2*a + 2*a - 5*a + 2*a - a + 3*a - a + (-1 + 1 - 2)*(-2*a + 0*a + 0*a) - 6*a - 18 - a + 6*a.\nAnswer: -3*a - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2468 and 6254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4899 and 43065?\nAnswer: 70325145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 7:09 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 1 + 3 + 3 in the form a + h*p**2 + y*p and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l**2 + 20*l + 18. What is the hundreds digit of y(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-20 + 17 + -22 + 12) - 59\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 172*s - 3951. Let g be r(23). Solve 2*x - 2*v + 4 = 0, -133*x + 8 = -136*x + g*v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooddydio. What is prob of sequence do?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6245?\nAnswer: 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -232*i**3 - 6*i + 6. Let z(m) = 4641*m**3 + 119*m - 119. What is -119*c(t) - 6*z(t)?\nAnswer: -238*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24397 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -393906.\nAnswer: 118171.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 4 - 1\/3*c**3 + c + 1\/2*c**2 - 1\/4*c**4. Suppose g(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6 = -4*v. Suppose v*u = -264 + 44. Round u to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 4, k: 2, n: 4}. Give prob of sequence jk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxx. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -93 + 28 - 13 - 22*x. Let p be z(-4). Solve -5*y - 5*q - p = 0, 0 = 3*y - 3*q + 3 - 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 236*g - 302 wrt g.\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170996 is divided by 12187?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5)*i*i*i*i*i)\/i*i*i**(-2\/7)\/i*(i**(4\/13))**(11\/3) assuming i is positive.\nAnswer: i**(230\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 32 = -3*z - 5*m, 4*z = -2*m + 8. Suppose -4*j - 2*n - 2 = -4, z*j - n = 11. Which is the closest to -0.2? (a) j (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 4 (c) -0.048 (d) 1191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260316029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 5*y - 5. Suppose -36 = 4*f + 4. Let k be a(f). Let h = k - 24. What is the remainder when 40 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -338 - -1268. What are the prime factors of m?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -259, -691, -1259, -1945, -2731, -3599, -4531?\nAnswer: -5509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4 + 1866*c**3 - 3*c**2 - 1866*c = 0. Calculate c.\nAnswer: -622, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35554 (base 6) to base 5\nAnswer: -131212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1582 - 850. Suppose 10*l - 2932 = -w. Is 44 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -0.87658, -2\/55?\nAnswer: -0.87658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -55*c**2 - 464*c + 464. Calculate w(1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 648975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38299 + 38299 - v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 59, 53, 45, 35, 23, 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g. Let h(v) = -3*v. Let c(u) = -7*h(u) + 4*m(u). Let f(p) = -33*p. Determine c(f(k)).\nAnswer: -33*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/60)\/(7\/(-4)). Let d = 9 - 6. Let o be -2*(1 + (-14)\/4). What is the nearest to 1 in d, n, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 0*u**3 - u**3 + 4*u + 0*u**3 - 2*u**2 - 2*u**2. What is a(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*r**5 + 51*r**2 - 7*r**5 - 53*r**2 + r**5 - r + r + (5 - 1 - 3)*(2*r**5 - r**5 - 3*r**5) - r**5 - 2*r**5 + 2*r**5.\nAnswer: -18*r**5 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-5 + (-248)\/(-48))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -y + 4*z, -z = 5*y + z + 405. Let x = y - -112. Suppose 2*d + x = 5*t - 9, 8 = 2*d. What is the remainder when 28 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 828279 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*7\/105*(-4 - -3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 6. Calculate the smallest common multiple of i(-1) and (2\/6)\/(2\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 0*t**2 + 0 - 22*t + 1\/4*t**4 + 0*t**3. Let z(y) = 25*y**2. Give z(n(o)).\nAnswer: 225*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585.9 rounded to the nearest 10?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 7. Let j(g) be the second derivative of -g**4\/12 - 7*g**3\/6 + 3*g**2 - 2*g. Is j(h) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*a - 25 = 44*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5)*o*o*o**(5\/6))\/(o**(2\/5))**48 assuming o is positive.\nAnswer: o**(-503\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iirr when four letters picked without replacement from {i: 2, r: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-6 - 1 - (6 + -24))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, j: 8, o: 2}. What is prob of picking 2 j?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*o + 6*r - 9*r, -4*o - 40 = -4*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 52 = p + 4*p, -3*p = 5*v - 76. What is the highest common divisor of 364 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0872 + -0.0128. What is the nearest to 4 in 0.8, 3.8, j?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, e: 3, k: 3}. Give prob of picking 3 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 4. Let r be j(-4). Let q = 20\/11 + -16\/33. Which is greater: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 1. Let m(u) be the third derivative of -u**7\/5040 + u**6\/720 + u**5\/12 + u**2. Let l(r) be the third derivative of m(r). Give -4*l(b) - 3*z(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3730564765 to the power of 1\/2, to the nearest integer?\nAnswer: 61078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48493 + (-120)\/70 + (-2)\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {k: 5, p: 1, m: 6, y: 2, q: 2}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 27. Let r = 15\/16 - 3\/16. Which is the third biggest value? (a) r (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (1*(sqrt(500) + 0) - sqrt(500)))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 3)*(-h**2 - 2*h**2 + 2*h**2) + (55*h + 11*h - 7*h)*(-h - 3*h + 2*h) + 0*h**2 - 4*h**2 + 2*h**2)*(-4 - 6*h + 4).\nAnswer: 714*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309469073.\nAnswer: 37, 197, 42457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c**2 + 21*c - 21*c)*(4*c - 4*c - 2*c + (-c - 1 + 1)*(-1 + 0 + 3)) in the form z + n*c**3 + s*c + y*c**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2122 and 1298702196.\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -0.076816040401591.\nAnswer: -3.923183959598409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 110.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 2. Let f(r) = r**2 - 17*r + 36. Let j be f(15). What is the lowest common multiple of y(-3) and ((-33)\/6)\/(j\/(-12))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1395, 4, 0, 653 in descending order.\nAnswer: 1395, 653, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**2. Let f(t) = 7*t - 3*t + 3*t + 3*t. Calculate x(f(c)).\nAnswer: -400*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1)*w)\/w)\/w*w\/w**4)**49*((w\/((w\/(w\/(w**(2\/7)*w*w*w)))\/w)*w)\/w**(2\/7))**(1\/35) assuming w is positive.\nAnswer: w**(-60029\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 100*h - 91*h. Solve 3*r = s + s - h, r = 2*s - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 40*h - 86. Let o(f) = -f**3 - 8*f**2 + 2*f - 19. Let c be o(-8). Does 18 divide v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 55*x + 159. Determine j(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3.02 + -106377\nAnswer: -106380.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.6 (b) -5\/22 (c) 32 (d) -18 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2) - -3 - (-4)\/8. Let p(r) be the first derivative of 1\/3*r**3 + 0*r - d + 0*r**2 - 1\/4*r**4. Factor p(m).\nAnswer: -m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z - 4, 0 = 2*m + 5*z - 323. Suppose p + 2*f + 3*f - 91 = 0, 4*f = 2*p - m. Calculate the highest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7194822 is divided by 165.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 = -3*t + 3, -3*t + 3*x + 15 = 0. Suppose -4*g = -z - 221, -g - t*z + 39 = 5. Suppose -3*v = -g + 9. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - 1.18. Let v = g + 1. Let k = 2 - 1. What is the third smallest value in k, -1\/11, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2112220310032 + -21?\nAnswer: -2112220310113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-145)\/45 - 2\/(-9). Let q = x + 9. Calculate the remainder when 16 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 20*a**3 + 17*a - 11. Let l = 25 - 23. Suppose -4*d - 52 = 4*t, -3*d - 8 = -l. Let c(s) = -7*s**3 - 6*s + 4. Give t*c(w) - 4*m(w).\nAnswer: -3*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6318 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 1 - 3 - 5*z)*(-3*z + 0*z + 8*z) + (-4*z + 0*z - 4*z)*(-z - 2 + 2).\nAnswer: -2*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 156\/7 in 1, -1\/2, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 400*z**2\/3 + 1624*z\/9 + 544\/9.\nAnswer: -2*(z - 68)*(3*z + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k + 32. Let h be j(4). Suppose h = -6*y + 1924 + 1112. Suppose n - 682 = -4*g, 0*n = -3*g + 2*n + y. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 26 = 3*n, 11665*n - 11662*n = -x - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 778236 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4 - 0, 4*o - 6 = f. Let h be 60\/(-36)*36\/(-20). Let n(b) = -b**2 + b**3 + 7*b**o - 5*b + 6 + 4*b + h*b. What is n(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 393 - 839. Let d = 448 + o. Solve -d*c + 0*x - 4*x - 14 = 0, -x = 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.25 + -9.221. Let b = -73 + 73.029. Let s = o - b. What is the closest to s in -2, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o**2. Let k(y) be the second derivative of -y**3\/6 + y. What is k(n(q))?\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -45?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**3 - 23*a**2 + 6*a - 19. Let r be t(8). Suppose 4*d - r = d. Solve 3*c = -2*b - 19, -d = 3*c + 2*c + 3*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19780? (a) 4 (b) -0.17 (c) -4 (d) 1\/4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39062 at most 36005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/153)*j**1 assuming j is positive.\nAnswer: j**(155\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 936.2682 millilitres?\nAnswer: 0.9362682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3230 and 70?\nAnswer: 22610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4624969*m**2*z**2 - 82*m*z**2 - 2*m*z - 2*m + 11*z - 212 wrt m?\nAnswer: 9249938*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 361, -3, -5.\nAnswer: -5, -3, 2, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1621027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k**3 - 2*k**2 + 1. Let s be g(-2). Let z = 37 - s. Let c be (-130)\/(-45) - 4\/z. Solve 4*q - q = c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -292, -0.1, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/3 - 6*g**3 - 7*g**2 + 38*g\/3 = 0.\nAnswer: -2, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 302, 586, 950, 1388?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2209*q + 2205*q = 52, -3*i - 67 = -q. Put -33, -4, i, -1 in descending order.\nAnswer: -1, -4, i, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47912.58 to the nearest 100.\nAnswer: 47900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 6*r**2 + 135*r + 26. Let q be z(-15). Solve 20*p = -6 + q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4) + (-17 - 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/2274 and -71\/33.\nAnswer: 25014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4725 - -4725.008318. Round d to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 2 - 38 = 0. Suppose q*l - 3*a - 4 + 5 = 0, -2*a = -l + 1. Which is smaller: l or 2\/233?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/420 + 5372\/(-595)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 1*sqrt(68) + sqrt(68) + -4 + ((5*-2*sqrt(68))**2 - sqrt(68)) - ((-2*sqrt(17))**2*5 + (sqrt(51)\/(sqrt(15)\/sqrt(5)))**2 + 5)) + -4.\nAnswer: 4*sqrt(17) + 6430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 + 1.3. Let n = 4 - i. Let f be 1\/(-2)*1\/2. Which is the closest to f? (a) 1 (b) n (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:49 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48503.\nAnswer: 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3128 = -32*t + 36*t - 4*s, -t = 2*s - 767. Let p = t - 769. Solve 4*i = -p*i - 48 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + -5*(sqrt(136)*-3 + sqrt(136)) + sqrt(136) - -1*4*sqrt(136))\/(-5*-1*sqrt(392)*-3).\nAnswer: -16*sqrt(17)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20662 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2578*l**3*y - 24633*l**3 - 25*l*y - l - 3*y - 656762 wrt l?\nAnswer: 15468*l*y - 147798*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, j: 6, v: 6, z: 4}. Give prob of sequence zivv.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159\/10 + 78\/5. Let f(d) = -4*d - 7. Let n(u) = u - 4. Let x be n(2). Let j be f(x). Is i > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m**2 + 7*m - 55. Give l(6).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-980)*2*40\/64?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/227 and -33\/2.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2725)\/13625*(-210)\/8. Let -1\/4*m**5 - t - 21\/2*m**3 + 23\/4*m**4 - 1\/2*m**2 + 43\/4*m = 0. Calculate m.\nAnswer: -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44171 + 69366. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.22 + -26. Let n = 0.28 + q. Which is the nearest to -1? (a) n (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -3*p - j - 32, 50 = -2*p + 2*j. Let r = 29 + p. Suppose 10*b**2 - 23*b**r + 13*b**4 - 4*b + 6*b**3 - 2*b**3 = 0. What is b?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20978 + 9195*o**2 + 1456*o**2 + 20976 as v*o + b + j*o**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w = -3. Let f(t) = 4*t - 1. Let b(x) = -x. Let q(y) = -b(y) - f(y). List the prime factors of q(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -4577738977959?\nAnswer: -4577738977965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4 = 0, 5*h - a = 3*a + 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 320080016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.696156 weeks in hours?\nAnswer: 1628.954208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 10:47 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 11*c**2 + 26*c + 27. Let g = -741 - -754. What is the lowest common multiple of 1 and f(g)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 8*o**2 + 2*o + 7. Let r be f(-8). Let d = 42 - r. Suppose -3*w + 22 = 4*c, d = 4*w + c - 0*c. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r + 2*r - 2*r. Let x(n) = 3*n + n**2 - 4*n - 9 + 8*n. Let u be x(-8). Let o(y) = y. Give u*b(q) - 6*o(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001101011001001 (base 2) in base 6?\nAnswer: 4205545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -d - 2*d + q, -5*d - 5*q = -50. Let b = d + -4. Suppose h = b*h - 163. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u**3 - 2*u - 2*u)*(-2 + 2 + 1)*(361 + 38 - 60).\nAnswer: 339*u**3 - 1017*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(5\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 - 2)*((-2 + 4 + 0)*(-4*k + k + 2*k) + 3*k - k + 20*k).\nAnswer: 120*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-149)\/(-21) - (-847)\/(-121)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991 a factor of 5310809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-21) + (-124)\/(-28) - 7. Is 9 a factor of 225*a*(-6)\/45*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3779 by -4.\nAnswer: -3779\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*s - 6*s + 2*g, 5 = -4*s - 5*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*t + 2. Let s be (0\/t)\/(-1*2). Let i = 462\/5 + -93. Which is greater: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*p - 25, q = -3*p + 5*q. What is the second derivative of 4*j**2 + 4*j**p - 7*j**4 - 4*j**2 + 9*j wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -4157036\nAnswer: -2\/1039259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -12*h - 64. Let p be t(-6). Let c be p\/((-64)\/(-372))*(-8)\/(-12). Solve -c + 7 = -6*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to 182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 360845 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35996*a**4 + 117*a**3 + 2*a**2 - 3689*a + 203 wrt a?\nAnswer: -431952*a**2 + 702*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 134 + -135 - (10 + -1 + 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(4)*-2 - ((sqrt(30) - sqrt(210)\/(1*sqrt(7))) + sqrt(30)))\/(6*-5*sqrt(40)\/sqrt(4))*-2 + 2.\nAnswer: -sqrt(3)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123.36 - 4700.\nAnswer: -4823.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 4*r - 29. Suppose f = 86 - 77. What is the tens digit of s(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 32 = -31*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.109 times -401\nAnswer: 43.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**14*v)\/v)\/((v\/v**(-4\/15))\/v)*v**(-14)*v\/(v*v*v**14*v))**(-8\/13) assuming v is positive.\nAnswer: v**(1952\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.274\nAnswer: -0.0548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61747159 to the nearest integer?\nAnswer: 7858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*m = -393 + 340 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a + 145 = -118 - 313 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v - 4*b - 152 = 0, 2*v = 4*b + 82. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -22. Suppose -5*d = -2*q - 9, -4*d + 3*q = -3 - 0. Let b be ((-7)\/3 + 0)*-3. Solve -g = d*w - b*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1194 - -7153\/6. Let t = 2853\/5 + -5599\/10. Find the common denominator of f and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-44) + ((-68)\/11 - -2). Let j = 0 - y. Let t be (4 - 1) + j + -2. What is the greatest common divisor of t and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77068, 76557, 76046, 75535, 75024, 74513?\nAnswer: 74002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.2 and 95.\nAnswer: -2964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + g - 1. Suppose -3 = m - 7. Let w(t) = -m*t**3 + 2*t - 9 + 0*t + 2*t. Let p(h) = -3*u(h) + w(h). Calculate p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.05 + 0.05. Let h = 12.8 - 12.679. Let b = 0.021 - h. Which is greater: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/10*2*(-42)\/(-14).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 - 380*p**2 + 4529*p\/2 - 1885.\nAnswer: (p - 754)*(p - 5)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-8) + 28\/(-112).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttw when three letters picked without replacement from {t: 5, w: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215504997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25904, 51809, 77736, 103697, 129704, 155769, 181904, 208121?\nAnswer: 234432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.4. Let y = 2 + -2.2. Let x = -0.3 - y. Which is the nearest to x? (a) 3 (b) 3\/8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(3\/2)*s))\/(s\/(s*s**(3\/5)*s)) assuming s is positive.\nAnswer: s**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717 minus -0.1?\nAnswer: 2717.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r*y**2 + 456*r*y - 2*y**2 + 693*y wrt r.\nAnswer: y**2 + 456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15935038 and 21968?\nAnswer: 127480304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1961941.96573453 - 1961942. Let c = 314.99136547 + b. Let j = 315 - c. What is j rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -178 and 174517.108.\nAnswer: 174339.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 329617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 420984995 to the power of 1\/2, to the nearest integer?\nAnswer: 20518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-17)\/((-119)\/42))\/4. Sort 0.2, u, 4\/3, 5\/4 in increasing order.\nAnswer: 0.2, 5\/4, 4\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6066 at most as big as 6075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -201. Let y = s - -237. Let l = -78.9931 + y. Round l to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.233, -1\/2, -1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 254*b**2 - 501*b + 1217. Give o(-252).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + a + 79. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -2, -2\/173, -0.5, 56, -1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 12*s - 61)*((0 + 1 - 2)*(-2*s**3 + 2*s**3 + s**3) + 2*s**3 - 58 + 58).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0*o**2 + 2 + 3*o + o**2 + 1 - o**4 in the form j*o**2 + v + i*o**4 + p*o**3 + s*o and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -29. Suppose 5*c + 49 = 2*l - b*l, -54 = -3*l + c. Calculate the remainder when 65 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -200*b**5 - 3*b**3 + 6*b - 1764.\nAnswer: -4000*b**3 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -583.9 + 547. Round x to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) -293 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-5 + 18 + -29) - -4 - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 339 in descending order.\nAnswer: 339, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -121402.85 and -0.3?\nAnswer: 36420.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6856155103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q**(3\/2)*q)\/q)*q*q*q**(1\/2)\/q*q)\/(q**3\/q*q**5))\/((q*q*(q\/(q*q**(-2\/15)\/q))\/q*q*q**(-1))\/(q\/(q\/q**(-1)*q))**(-40)) assuming q is positive.\nAnswer: q**(1078\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -313832.611 and -1004.\nAnswer: -314836.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 5*q - 11. Let d be y(-7). Let u(r) = 3*r + 28. Let n be u(-8). Factor 4*o - 5*o**2 - 31*o**3 - 16*o**n + d*o**3 - 3*o**2.\nAnswer: -4*o*(o + 1)**2*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 - 3)*(2*f**4 - f**4 + 0*f**4) - 339*f**4 - 565*f**4 + 465*f**4 - 5 + 5 - 2*f**4.\nAnswer: -456*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*u - 2*u - 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 3 + 3)*(7*p + p - 10*p)*(20 + 2 + 8) to d*p**2 + j + o*p and give d.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j + 25. Determine t(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 819 and 11080797.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/120 and -1 + (-15)\/48 - 15\/(-10).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -5, 2\/7, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4165 and 144109?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 35*n + 224 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 - 17*v**2 + 21*v + 12. Let f be p(10). Suppose 3*m = 9*m - f. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 - -104. Suppose -5*p - j - n*j + 5 = 0, -3*j - 19 = -p. Solve p*h - h = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -805438 and -290.\nAnswer: -805728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128500?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 - -142. What is the highest common divisor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/12 + 3*m**3\/2 + 6*m**2 - 19*m. Let o be 16\/18*3*-3. Calculate the least common multiple of l(o) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let o(c) = -c**2 - 11*c - 1. Let w(s) = -4*f(s) + o(s). Let g be w(-7). Let n be (-32)\/20 - (-4)\/(-10). Put 1\/9, n, g in decreasing order.\nAnswer: 1\/9, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697 = 4*d + 4937. What is d rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*sqrt(500) + sqrt(500)*-2*-2)**2.\nAnswer: -80*sqrt(5) + 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200122 (base 3) to base 9.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14175 = -486*m - 81*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a. Let g = 3 - 1. Let r(o) = 6*o**g - 2*o - o + 3*o. Calculate r(t(f)).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 93332898268122 + -0.5\nAnswer: 93332898268121.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40 - 10*z**2 + 11*z**3 - 74*z - 4*z**4 - 3*z**3 + 14*z**2 + 5*z**4 - 31*z**2.\nAnswer: (z - 4)*(z + 1)**2*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/35 and -163\/126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 11*v. Let d(z) = -6*z. Let k(y) = 5*d(y) - 3*x(y). Let r be k(-2). Let j(g) = -r*g + 4*g + g + 0 + 2. Calculate j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167754801?\nAnswer: 3, 23, 67, 131, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*n**3 - 355*n**3 + 4*n + 200*n**3.\nAnswer: 4*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1334216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 485*g - 480*g + 52, -4*r = -g - 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457264 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/3 - 1898*s - 11384\/3 = 0. What is s?\nAnswer: -5692, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 2*a**2 - 3*a + 3. Calculate n(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0*u)\/(u\/(u**(-5\/3)\/u))*u*u**(2\/5)*u*u*u**2)**(-14\/5))**16 assuming u is positive.\nAnswer: u**(-9184\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100\/600 + (-16054)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 b, 1 z, and 1 g when four letters picked without replacement from gbgzrbbbdb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-3*sqrt(119) + sqrt(119) + -2*sqrt(119)*-2)\/(1*sqrt(175)*5*-5))**2.\nAnswer: 272\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 6. Let u be p(7). Let l be u\/(-4) + 13\/52. Determine j, given that 1\/4*j**3 + 0*j + l + 1\/2*j**2 - 11\/2*j**4 - 21\/4*j**5 = 0.\nAnswer: -1, -1\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 6*j + 4*j)*(1509 - 1509 - 81*j**2) + 2*j**3 - 2*j**3 + j**3 to the form t + a*j**3 + s*j**2 + w*j and give a.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59111406607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 97749.8 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 11*c**2 - 5*c + 5. Let s(b) = -5*b**2 - 5*b + 2. Let q(k) = 15*k**2 + 14*k - 6. Let u(n) = -3*q(n) - 8*s(n). What is 2*t(p) - 5*u(p)?\nAnswer: -2*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 3*y**2 + 3*y + 4. Determine o(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147434385 and 30?\nAnswer: 294868770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k + 20. Suppose 2*p = 6*p. Let v be 1*(0 + p\/1). What is the nearest to v in k, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*f**2 - 153*f + 153*f)*(-f + 2*f**2 + f) + (-4 + 1 + 1)*(-3*f**4 + 2 - 2) + f**4 - f**4 + 2*f**4.\nAnswer: 116*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12987731, 12987730, 12987729?\n\"Answer: -z + 12987732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**4\/3 + 2*h**3\/3 - h**2\/2 - 3*h. Is z(-4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374, 378, 394, 428, 486, 574?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 5426*g - 5421*g - 3 + 2*g + 1 - 1 + (85 - 88 + 154)*(-g + 3*g + 0*g) to the form x + d*g and give d.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-9))\/((-1)\/(-6)). Suppose 0 = 3*v - 1 + h. Let t be (9\/(-6) - -2)\/v. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12400303403 + -10?\nAnswer: 12400303343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((15 - -2)\/153)\/(1\/(-12)). Which is the nearest to 0.1? (a) -4\/7 (b) o (c) 2 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -7)*4\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14015*d**2 - 12794*d**2 + 25280*d**2 + d.\nAnswer: -1529*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110307 - 2?\nAnswer: 110305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.3952 and -1?\nAnswer: -4.3952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -12. Suppose w*f = 4*u + 3 - 9, 5*u = -4*f + 1. Sort 2, -3, f in decreasing order.\nAnswer: 2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62948.95 weeks in minutes?\nAnswer: 634525416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (9 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 410739044 a multiple of 4425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f. Suppose f*g = 3*g - 81. Factor -36*b - 4*b**2 + 9*b**2 + 6*b**2 + g + b**2.\nAnswer: 3*(2*b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -356.2 + 356. Which is the biggest value? (a) s (b) 5 (c) -0.06 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98281256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-8 + 7 + -5 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 46 in descending order.\nAnswer: 46, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 41 - 277. Let o = b - 45. Suppose -10*i = -o*i + 336. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-706*n - 137 + 137)*(n + 2*n - 4*n) as v*n + f*n**2 + k and give f.\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -65604 times -5?\nAnswer: 328020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -17*t + 122. Let h be r(7). Which is the smallest value? (a) h (b) -0.1 (c) 0.9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376285 divided by 455.\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 4)*(-375*a + 280*a + 499*a) + 0 + a + 0 + 0*a + 0*a + 2*a + (3 + 0 - 2)*(0*a + 3*a - 2*a).\nAnswer: -2420*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-60)\/50 + 145\/(-25) - -22 and 2295.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472.606 litres in millilitres?\nAnswer: 2472606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 6*q**2 + q + 5. Let k(g) = -g**3 + 2*g + 1. Let w be k(-1). Let y = w - 6. What is n(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l. Let h(o) = -2910*o - 5. Determine b(h(u)).\nAnswer: -2910*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*r = 4*f - 12, 6 = -4*f + 2*r. Let k be 90*(-6)\/27*-3. Suppose -k = -9*z + 4*z. Solve -3*n - z = -f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f - 4. Let i be v(-3). Let s = 76 - i. Let r = 13 + s. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73 + 31 - 266 - 89 - 2*x as m + o*x and give m.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 224506438 smaller than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -19. Let u be (8 + -3)*(-2)\/p. What is the remainder when (-66)\/(-78) + u\/(-13) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 221?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9385.277km in nanometers?\nAnswer: 9385277000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005404.1 rounded to the nearest 1000?\nAnswer: 2005000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1821 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/6, -1143, 3\/73?\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-15))\/(8\/120). Solve v - 3*s = 2, 0 = 3*v + 2*s - 7*s - x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-50)\/(-30))\/(-5))\/((-5)\/472905) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = 4*q + 3, -15 = -5*q + 3*h. Let x be q\/(-2)*(-5 + 4). Solve -4*f = -x*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 2\/11, -1\/4 in increasing order.\nAnswer: -23, -1\/4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/57 + 2607\/10507.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -966 - -969. Solve 0 = -4*d - y*l - 9 - 10, 10 = -3*d + 2*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7983 is divided by 3977.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*q - 26, b - 54*q = -49*q - 32 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**2)**(6\/19)\/(((x**(-2\/9)\/x)\/x)\/x*x**(1\/8)*x) assuming x is positive.\nAnswer: x**(4165\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 622086 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 14*m - 16*m, -5*m + 35 = 5*z. Let o be ((-2)\/6)\/(-6 + 90\/12). What is the smallest value in o, -3, z, 6\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1.18\nAnswer: 4.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -244.1226 to the nearest integer.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -5 (c) -0.08 (d) -0.01 (e) 17.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4 - 9*v**3 - 30*v**2 = 0 for v.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 7. Let i be j(0). Let d = 8 + i. Calculate the remainder when 29 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36119473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:40 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**3 - 4628*p**2\/7 - 58152*p\/7 + 16992\/7 = 0.\nAnswer: -12, 2\/7, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*c + 17, 0*c + 7 = 3*k - c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12121110010012 (base 3) to base 2\nAnswer: 1011010111110001100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059904613 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**3 + w**2 + w. Let m be (-3)\/(-27) + 57\/(-27). Let s be i(m). Suppose -5*y + s = -4*y. What is the greatest common factor of y and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1\/205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 4*i**2 - i**2)*(-20*i**3 + 32*i**3 - 2 + 59*i**3).\nAnswer: 142*i**5 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1035*f**3 - 3 + 3 - 1059*f**3.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 - (-17)\/3. Suppose 5*x - 15 = r. Suppose -2*c = x*o - 26, o - 49 = -5*c - o. Calculate the remainder when 17 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -179, -176, -171, -164, -155, -144?\n\"Answer: l**2 - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wddd when four letters picked without replacement from {w: 1, y: 7, d: 5}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17492 is divided by 253?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.218\nAnswer: 0.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -413405?\nAnswer: -413411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -357, -355, -351, -345?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-8))\/(-1)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3. Let v(i) = -1. Let a(f) = -4*v(f) + w(f). Let b(q) = -2*q**2 - 64*q - 272. Let t be b(-27). Let s(n) = 2*n**2 - n - 3. Calculate t*a(l) - s(l).\nAnswer: -2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.36 - 2. Let z = 0.26 - h. Let w be (-2)\/(-4)*(5 + -1). Which is bigger: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39218, 2, 3, 1 in descending order.\nAnswer: 39218, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57 - -174?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 8*j - 19. Determine q(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**7\/u)\/(u**(12\/7)*u) assuming u is positive.\nAnswer: u**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/100398 and 79\/116.\nAnswer: 200796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3918.4 + -3918. What is the third smallest value in 4, -1.4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*s + 40 = 99*s. Calculate the remainder when 59 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 + 120. Suppose 5*c - 8 = -4*m, 12*c + 4 = 11*c + w*m. Let f be -1 + 4*3\/6. Sort c, -1, f in decreasing order.\nAnswer: f, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 7*w + 115. Let p be k(0). Find the second derivative of 23*b**4 - 181*b + 198*b - p*b**4 wrt b.\nAnswer: -1104*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 v when four letters picked without replacement from {d: 4, s: 6, t: 1, v: 3}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/(-10) + -2*(-3)\/(-15). Let q be 3*(-10)\/6*s\/10. Solve 1 = c - q*p, -3*p = -2*c - 0*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - 22*a**2 - 6*a + 57. Does 13 divide b(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2983, 2972, 2957, 2938, 2915, 2888?\n\"Answer: -2*t**2 - 5*t + 2990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1343873317 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 7*p + 3. Let i(f) = -12*f - 16 - 8*f - 6*f**2 - 14*f. Let y(j) = 16*b(j) + 3*i(j). What is the second derivative of y(d) wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228 - 228.04. Which is the smallest value? (a) z (b) 0.018 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 81, 107, 149, 213, 305, 431, 597?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1897198 and 87446?\nAnswer: 3802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12a7 (base 15) to base 11\nAnswer: -2aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -703658225 + -8.2.\nAnswer: -703658233.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9841*v**4 + 1280*v**3 + 107479411*v**2 wrt v?\nAnswer: -236184*v + 7680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 11. Let y(i) = -i - 7. Let g(w) = 5*c(w) + 8*y(w). Let t be g(-1). Let s be -1 - (-3*2 + t). Solve -o + s = 3*x - 2, 4*o - 20 = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-2)*-19*(-11)\/1881.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 46*o**2 - 495*o - 38. What is c(29)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 259 + -21. Let j = k + -237. Let q = -0.7 - -1. What is the biggest value in j, -1\/6, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16789.60332 nanoseconds in weeks?\nAnswer: 0.0000000000277605875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*a + 29. Sort 2, 71, a in decreasing order.\nAnswer: 71, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h - 11*h + 34*h - 4*h - 8*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 41*x**3 + 4*x**2 - x - 4. Let u(s) = 122*s**3 + 11*s**2 - 3*s - 11. Let r(p) = 11*m(p) - 4*u(p). Let l = -5 + 4. What are the prime factors of r(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 37*q**3 - q**2 + 2*q + 3. Give f(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134863 divided by -8.\nAnswer: -134863\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73562 - -4?\nAnswer: 73566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18 - 3.82. Which is the nearest to 1? (a) -0.03 (b) -1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002644 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by -1 + (1 + -2 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f**4 - 5468724*f**3*l + 37361673*l wrt f.\nAnswer: 16*f**3 - 16406172*f**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804*v + n + 109 = 1785*v + 2*n + n, 43 = -3*v + 4*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1787 is divided by 116?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8232313301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.031.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y. Let r(m) = -12*m. Let z = 1 + 4. Let q(s) = z*r(s) - 21*a(s). Let o(w) = -3*w**2. Give q(o(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - ((0 - 12 - 0) + 19).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110797 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: b\"What is the vth term of -1462207, -2924415, -4386623?\n\"Answer: -1462208*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 14*w - 111. Let p be h(9). Solve 3*l + 3 = p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -28*a + 42. Let d be q(5). Let z be ((6 - 0) + -7)*(d + 1). Suppose -3*l = -2*u - z, u + 3*u - 2*l + 182 = 0. Is u greater than or equal to -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-420)\/(-175))\/(3\/(-20)). Which is the nearest to 1? (a) t (b) -0.3 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 167 = 5*a + 31 - 325, -43*a + 1075 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220110002210 - 1111?\nAnswer: -1220110011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -20671.\nAnswer: 103355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754 = 8*y + 818 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + -11 + 7 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/12)*n**41*n*n assuming n is positive.\nAnswer: n**(515\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aall. Give prob of picking 2 l and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2*t + 0 + 9 = 0, t = -q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.7 + -49.3. Let y = x - -69. Which is smaller: 0.5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 240393317\nAnswer: 3\/240393317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111000000010011010 - 10?\nAnswer: 1100111000000010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -16*a**2 - 20*a - 20. Let w(o) = -o**2 - o - 1. Let j be (-69)\/(-46) + 86\/(-4). Give j*w(n) + s(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 251516 and 23608.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 10*q**2 + 8*q - 7. Let b be t(-9). Let u be (-2)\/(-6)*(-59 + b). Is (18\/(-12) + u\/(-4))*28 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2404431 (base 5) to base 12.\nAnswer: -21812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2161 - 595 = 399*v + 3229. Let u = -32 + 2. Let b = u - -17. Which is smaller: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 12:17 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2 + 38*h + 84 = 0?\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 12303332?\nAnswer: -12310001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9734*z + 9703. Calculate m(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 39 = 2*v. Let w = 22 + -9. What is the remainder when w is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p - p - p + 8*p**2 to the form a + y*p**2 + v*p and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.019536 and -5.\nAnswer: -4.980464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3757*m**2 + 13*m + 263. Is i(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -803 - -806. Factor 2*a + 81 - 21*a - 8*a + 51*a**n - 9*a**2 - 48*a**3.\nAnswer: 3*(a - 3)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 + 14*f**2 - 8*f**2. Let n(o) = -6*o**2 + 3*o. Determine n(q(z)).\nAnswer: -6*z**4 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -62647194 and 4.\nAnswer: -62647190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-2\/3)*u*u)\/u)\/(u\/(u*u**(-8)))*u**(-1\/5)*u*u**(-6))**(-2))**23 assuming u is positive.\nAnswer: u**(8878\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 4*x - 3. Let a be f(3). Let t = 1 - a. Let y be (7 - -1) + (-1 - t). Solve -y = 3*d + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - 2*11\/(-26) - -4. Is p less than or equal to 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39215*z**3 + z**2 - z + 65223035 with respect to z.\nAnswer: -117645*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/33 (b) 0.1 (c) 2 (d) -0.4 (e) 2.7 (f) -1543\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -40199\/226 and -179 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.09 - -0.09. Suppose 2*q - 5*q - 33 = 0. Let g = -12 - q. Put -3, g, s in increasing order.\nAnswer: s, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + s**5 - 2*s**4 + (1 + 1 - 3)*(-3*s**5 + 0*s**5 + s**5) + 63*s**5 + 225*s**5 + 412*s**5.\nAnswer: 703*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -203*n**3 + 2*n**2 - 6*n + 3. Let y(h) = 202*h**3 - h**2 + 4*h - 2. What is -2*j(u) - 3*y(u)?\nAnswer: -200*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 - 16*a + 57*a + 3*a - 37*a.\nAnswer: 11*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 10*c - 12. Let t be n(9). Put -4, -1, t in descending order.\nAnswer: -1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.643 + 1620.643. Let b = o + -1617.95995. Let y = b + -0.039. Round y to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 726 - 728 - (6 + -1 - (2 - (4 + 2)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-5)\/114) - 1392\/(-48 - -135).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 + -0.07. Let b = 14338477 + -14338476.69999995. Let w = r + b. Round w to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3343 and -1.\nAnswer: -3343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 174377824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/(9\/(-36)). Solve j*q = 6, -6 = -h - 2*q + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*o**3*x + 13*a**2*o*x**3 - 17*a*x**3 + 2*a + o**3*x**3 wrt a?\nAnswer: -8*o**3*x + 26*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(sqrt(132)*-2 + sqrt(33)))\/(sqrt(1584) - (sqrt(1584) - ((-1*sqrt(1584) - sqrt(1584))*-6 - sqrt(1584)))).\nAnswer: -3*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1068 = 14*c - 3356. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.065, 0, 1\/2, -4 in decreasing order.\nAnswer: 1\/2, 0.065, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 4:38 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - sqrt(95)*2) + sqrt(95))*2)\/sqrt(5) + -5 + ((-1*sqrt(228))\/sqrt(12))**2 + (-6*sqrt(190)*-1)\/sqrt(1960).\nAnswer: 3*sqrt(19)\/7 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1584)*1*1)**2 - 2*(2 + sqrt(1584))) + 0.\nAnswer: -4740 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**3\/3 - 1. Let r(g) = -11*g. Give r(i(v)).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/((sqrt(48)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 2*m**2 + m + 336. Let g be x(0). Let l(o) = 24*o - 6. Let n be l(2). What is the greatest common factor of n and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200220 (base 3) in base 8?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 1. Let m(p) = p**3 - 4. Let s = -4 - -9. Let r be -5 + 3 + -2 + 0. Let z = r + s. What is z*m(k) - 3*f(k)?\nAnswer: -2*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 1, c: 3, d: 2, w: 3}. Give prob of picking 1 b, 1 d, and 1 c.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216867 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2362796.953737 + -2362792. Let g = -0.9537422 + s. Let v = 4 - g. Round v to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 2:47 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-15 - (10 + -13)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s - 863. Let b(v) = 18*v**2. What is b(l(i))?\nAnswer: 288*i**2 + 124272*i + 13405842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 209 = 194. What is the third derivative of 17*d**2 - 103*d**6 + c + 192*d**4 + 193*d**4 - 385*d**4 wrt d?\nAnswer: -12360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 2*r**3 + 7945*r - 7940*r + 1 - 2 to the form v*r**2 + q*r + n*r**3 + g and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 82.1298 - 7358\nAnswer: -7275.8702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4786*f**2*z**4 - 2*f**2 - 85*f - 4859*z**4 + 294451 wrt z.\nAnswer: -19144*f**2*z**3 - 19436*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:08 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3559133720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + 3 + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 2 - 4*x - 730*x**3 + 3*x**2 + 732*x**3. Let h(z) be the first derivative of 3*z**4\/4 + 7*z**3\/3 - 5*z**2\/2 - 5*z + 32. Give -2*h(n) + 5*i(n).\nAnswer: 4*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t**2 + 12*t. Let l(m) = m**2 + m. Give 3*a(v) - 36*l(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b - 3. Let y(c) = -2*c**2. What is y(t(j))?\nAnswer: -128*j**2 + 96*j - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 9*d - 17. Let n be l(-4). Let w = 24 - -24. Suppose -4*y = t - 18, w = 5*t - 0*y - y. Solve -2*x - n*z = -3 - t, 5*x - 10 = -3*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.154 + -0.346. Put 6, -0.4, f, 0.3 in decreasing order.\nAnswer: 6, 0.3, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 r when three letters picked without replacement from qrrrqqqqrrrqrrqqqrrr.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lplllallalp. Give prob of picking 2 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.028 - 771.802\nAnswer: -771.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49191 divided by 863?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 16. What is the second derivative of -18*b + 29*b - 9*b**3 - s*b wrt b?\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -531627172*h**3 + 9212*h**2 + 416*h + 3 wrt h.\nAnswer: -3189763032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4093.\nAnswer: 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*h + 225*h = 3*b + 5, -h - 3*b - 8 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 22 + -12 + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83577 and 624.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57634 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 114\/12 + -7)*(-8)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142 - -142. Let n be ((1 + s)\/(-1))\/((-5)\/(-35)). Find the common denominator of 11\/6 and 0 + n\/35 + (-326)\/120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100100010011 + -100?\nAnswer: -1110100100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -24*t**2 - 957*t + 71. Give f(-40).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 9*c**2 - 16*c + 4. Give w(8).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 2:35 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*u - 116 - 434. Let s(j) = j**3 - j**2 - 3. Let r be s(3). What is the greatest common divisor of u and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**0)**(-1\/26))**(-1\/5))**(-8\/13))**(12\/11) assuming g is positive.\nAnswer: g**(-48\/9295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 - 81. Let n = 6 - -2. Suppose -2*g + n = i, 2*w = -0*w - 5*g + 222. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let g = 1 - o. Let x = 0.43 + -0.13. Which is the closest to g? (a) x (b) 0 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/3 + k**4\/3 - 5*k**3\/3 + k**2.\nAnswer: k**2*(k - 1)**2*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 450552320 a multiple of 3776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/(28\/(-112)). Sort q, 4, 44.\nAnswer: q, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -1 (c) -2 (d) 2\/12179 (e) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2 + q + 3. Let x be u(-8). Let p = x + 188. Which is the closest to 2\/5? (a) -0.3 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 438859454*a**3 + 43377743*a**2 wrt a?\nAnswer: 2633156724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/6)\/(32\/(-96)*-8). Let g = -21 - -13. Let f be (g\/6)\/((-4)\/(-18)). Which is the nearest to k? (a) -2 (b) f (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 83 - 7?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20354*v - 18 = -3*j + 20352*v, -2*j = -v - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*f = -6*o, 2*f = -4. Let p = o + -2. Let a be (10\/2 + p)*1. Solve 0*m = -m + a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3192, 0, -124, -3 in ascending order.\nAnswer: -124, -4, -3, 0, 3192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(5) + sqrt(320) + sqrt(320) + 1)**2 + -4.\nAnswer: 34*sqrt(5) + 1446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3070.843 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (sqrt(396) + 1 - sqrt(396))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 0.4, -13\/7, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625947483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 158558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/29)\/c**(-8)*c**6\/c*c**(2\/7) assuming c is positive.\nAnswer: c**(2683\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + (2*-1 - -3). Let o = d - -9. Suppose 3*x - 2*a = o*x + 7, 0 = 3*x - 5*a - 12. Is x equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 797.18 + -797.2. Which is the smallest value? (a) n (b) 38 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*f - 96 = -107*f. Suppose 15*v + 130 - 970 = 0. What is the highest common divisor of f and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25534? (a) 36 (b) -0.1 (c) 1\/2 (d) 1 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/528 and 115\/81296424.\nAnswer: 162592848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/10*-1*1*-31*(-57)\/1767.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48902*y**4 + 248*y**2 - 36*y wrt y?\nAnswer: -1173648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1286 is divided by 426?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 108582229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.74243 less than -23213046.2?\nAnswer: -23213038.45757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 36, 101, 224, 423, 716, 1121?\n\"Answer: 3*j**3 + 2*j**2 - 2*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l + 3 = 0. Do -2\/3 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*d - 47 + 47 + (-3 + 3 + 2)*(1 - 1 - 2)*(-2*d + 5*d + d) + (-4*d + 0*d + 2*d)*(-1 - 1 + 0) + 6*d + 9*d - 8*d to h*d + j and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*v**5 + 1328*v**4 - 54739*v?\nAnswer: 80*v**3 + 15936*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(152)*1 + sqrt(152)) + (sqrt(152) - (sqrt(152) - sqrt(152)*-1*-1)))\/(sqrt(288)*2 + -1*sqrt(16)\/sqrt(2))*5.\nAnswer: -25*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.095 and -0.03?\nAnswer: -0.00285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534 - 44*g**2 - 262 - 272.\nAnswer: -44*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) - (-34978)\/(-90). Let h = r + 389. Which is the nearest to 0.1? (a) h (b) 5 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241605583 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 59. What is the remainder when (-624)\/(-15) + (-12)\/20 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112262 + -214?\nAnswer: 112045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcsv when four letters picked without replacement from {s: 1, g: 2, c: 1, u: 2, v: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + c - 2 + 3. Let r(k) = -2*k**4 - k**2 + 2*k - 2. Suppose 1 = -5*u - 9. Let i(h) = u*w(h) - r(h). What is the third derivative of i(z) wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(720))*-3 + (-4 + 1 + sqrt(720) - sqrt(720)))**2*-2*-3.\nAnswer: -116802 - 3888*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z - 79. Let t be w(21). Sort 1, 3, t, 0 in descending order.\nAnswer: t, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20642055077 less than 22.7?\nAnswer: 20642055099.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/37 + -71\/111. Let g = -23 - -22. What is the nearest to g in 2, -1\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 76, 2, 5 in decreasing order.\nAnswer: 76, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 - (-64)\/12)\/(1\/1263) is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 m when four letters picked without replacement from {s: 3, m: 4, q: 1, z: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 104. Determine r(-32).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 5*z + 2. Let v(i) = -i. Let q be v(5). Let o(g) = 3*g**2 - 9*g + 3. Let c = -43 + 46. Let u(b) = c*o(b) + q*n(b). Factor u(a).\nAnswer: -(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 570125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -168?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 33.0175. What is k rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7623.52 rounded to the nearest 100?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*s**2 + (-2 + 2 + 3)*(-2*s**2 + 2*s**2 - s**2).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = s - 8*s. Let q = -8 + s. Let y(j) be the second derivative of j**4\/12 + 5*j**3\/6 - j**2\/2 + 8*j. Calculate y(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**4\/4 - 4*n**3 - n**2\/2 - 9*n + 6. Let j be a(-12). Suppose j*i + 2*i - 40 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 83 - 23 = -14*t, -3 = -3*a - 2*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/6290)\/(222\/185)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 7*q**2 + 61*q + 6*q**2 + 9*q**2 - 9*q**2.\nAnswer: -2*q**2 + 61*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 640, 605, 592, 607, 656?\n\"Answer: g**3 + 5*g**2 - 57*g + 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/180 and -77\/6.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g - 4*g)*(-g + 7*g - 4*g) + 38 - 38 + g**2 + (-3*g - g + 2*g)*(0*g + 2*g - 4*g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(-4 - (66\/(-10) + 1)). Suppose -b*l + 1854 + 50 = 0. Is 34 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 29.7. What is the closest to 1 in g, 4\/5, -1\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275995, 276010, 276025?\nAnswer: 276040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 3, -3, -732, 0, 4 in descending order.\nAnswer: 4, 3, 0, -3, -28, -732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 53*y - 11. Let r be q(3). Let v = r - 0. Let c = -68 + v. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**2 - i**2)*(-42*i + 4 + 47*i - 25*i) + (i + 2*i**2 - i)*(-35*i - 37*i - 16*i).\nAnswer: -196*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 534604.6 meters?\nAnswer: 534604600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:30 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = 0, 24*r - t = 23*r + 7. Suppose r*f - 270 = 3*d + 1130, -1033 = -3*f - 2*d. What are the prime factors of f?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*y - 147. Let k = -71 + 69. What is the remainder when y is divided by (-2 + k)*((0 - 1) + -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x. Let m(u) = -3*u + 3. Let r(a) = 2*h(a) + m(a). Let t be r(-3). Suppose g - 6 = -t*g. Calculate the remainder when 9 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*m + 7, -5*m = 3*p + 5 - 0. Suppose -4 = -t + 1. Let u = t - m. Put u, 2, -1 in decreasing order.\nAnswer: u, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -361185690, -361185692, -361185694, -361185696?\nAnswer: -361185698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/(-120) - (-10)\/(-100)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46573113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287\/5 > 256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfxxhfxf. What is prob of picking 1 x and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4873255?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3470 + -1869.3. Round a to the nearest 10.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/28 and 29\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i - 35. Let u be a(41). Let o = 1136 - u. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36125\/3108 - -76\/259. Let g(q) = -2*q**2 + 4*q + 6. Let b be g(4). Calculate the common denominator of a and (97\/2)\/(3 + b).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**3 - 130*l**2 + 151*l + 414. Let x be q(-114). What is x rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(242) - (sqrt(242) + 2 + sqrt(242)*-2 + sqrt(242))) + 2)*-6)**2.\nAnswer: -26136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65747442?\nAnswer: 2, 3, 149, 251, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*h + 233*h = -5088. Let c = -367 + h. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s - 27. Suppose 3*a - 11*a = -8. Calculate the highest common divisor of s and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*u - 4312 = 65*u. Is 28 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 4 (c) -3.7 (d) 313\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2\/4 + 4169657*z + 17386039497649 = 0?\nAnswer: -8339314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**6\/90 + 2*m**3 - 25*m. Let h(f) be the second derivative of g(f). Let t(s) = 4*s. Calculate t(h(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.5, 2, 7, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (16 - ((0 - 3) + 15)) + (3 - -18)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138 and 231.\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1151 = 4*r - 17*y, -13*r + 3*y = -9*r + 205 - 418 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -395.312893 rounded to 2 dps?\nAnswer: -395.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-6\/7)\/j)\/j*j*j**0\/j)**(2\/37) assuming j is positive.\nAnswer: j**(-12\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 6 - (4 - 1)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271570 is divided by 129?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (34\/17)\/((-2)\/2). Let u(o) = 21*o**2 - 17*o - 4. Let c(s) = 5*s**2 - 4*s - 1. Let p(w) = b*u(w) + 9*c(w). What is p(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-15)\/(-140))\/(327\/231 - 1) and 13\/8?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 13651792?\nAnswer: -1\/13651792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 828 and 4225836?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1143 - -2012. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 1845. Let s be j(0). Calculate the common denominator of 1 + (s\/(-42))\/5 and (3\/4)\/(108\/600).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 6*r - 3*r. Let w be 20\/(-8)*6\/(-5). Let u be (-1)\/(6\/r) - w. Which is the third biggest value? (a) u (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqm when three letters picked without replacement from {q: 6, m: 2, k: 10}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50149 + 69.86.\nAnswer: 50218.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 66371848 divided by -8296481\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/5)\/(d**6*d))\/(d**4\/((d\/(d*d**(-7\/4)))\/d)) assuming d is positive.\nAnswer: d**(-193\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**2 - 2*q + 1. Let d be t(-1). Suppose -d*i = -0*i - 27. Solve 5 - 8 = -i*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 + 14 - 28 - 90*b - 3*b + 5*b + 0*b + (10 - 3 - 5)*(0*b + b - 3*b).\nAnswer: -92*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -177*k**3 - k**2 + 1. Is b(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 + -1100000?\nAnswer: -1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + sqrt(45) - sqrt(45))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 21113*g + 21485*g - 41783*g. Let t(h) = -h. What is w(t(c))?\nAnswer: -815*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b - 3 = 0. Let z be 0\/(0 - -1)*b. Suppose -l - l + 90 = z. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 2*q + 5. Let z(f) = -2*f**2 + 3*f - 11. Let t(o) = -5*c(o) - 2*z(o). Suppose 33 = 5*n - 22. Let i = -7 + n. Determine t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1067657268 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5770 (base 8) to base 11.\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 970 - 973 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (437\/(-95) + 3)*(-15)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*y + 637*y - 317*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Suppose -2*o + 6*o - 12 = t. Solve 0*y = -o*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78869*g - 39444*g - 39444*g.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/1764 and 127\/6468.\nAnswer: 19404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 38891 - 38895 - 38880 + 116666.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 2:33 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-15\/8)*(r\/((r\/(r*r**(-2\/5)))\/r))**27 assuming r is positive.\nAnswer: r**(216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.3. Suppose -347*t + 352*t + 33 = 4*k, 4*k + 6*t = -66. Which is the closest to k? (a) 0.3 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11323602 and -0.5.\nAnswer: 5661801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o + 3*g, 0*o = 2*o + g - 4. Solve -2*s + o = -4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-14*o - o - 36*o).\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 17\/4, 1\/3, 0.005, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**9\/28 - 13*v**5\/60 - 3*v**2 - 19*v. Let z(f) be the first derivative of q(f). Find the third derivative of z(b) wrt b.\nAnswer: 2160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6343289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174*m**2 + 150*m**2 + 24*m**4 + 0 + 0 wrt m?\nAnswer: 576*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**3 + 70720*k**2 + 26220415*k + 26149700 = 0.\nAnswer: -13763, -380, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745 + 531 = -21*l - 17*l + 1192 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -5*a**4\/24 + 362*a**2. Let o(s) = -7. Let m(u) = -u + 6. Let y(i) = -7*m(i) - 6*o(i). Calculate 6*r(b) + 5*y(b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2. Let x(o) be the first derivative of 20*o**4\/3 - 128*o + 324. Let w(l) be the first derivative of x(l). Give r(w(a)).\nAnswer: 6400*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -95756, -95657, -95558?\n\"Answer: 99*u - 95855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 1:32 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 16. What is the remainder when b is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2342814?\nAnswer: 2, 3, 19, 20551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -568*i**2 + 198230*i + 700. Determine j(349).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p + 36*p = -8*h + 36, -33 = -5*h + 4*p. What is the second biggest value in h, 4, 0.2, 0.1, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 113245, 113211, 113175, 113137, 113097, 113055?\n\"Answer: -c**2 - 31*c + 113277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/27 (b) 1\/9 (c) 313\/361\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*k = 3, -k - 4*k - 6 = y. Suppose -2048 = -y*h + 103. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/1*(-42)\/504)\/(12\/288).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4 + (sqrt(11) - sqrt(55)\/sqrt(5)) - -2*-2*sqrt(11)) + (-3*sqrt(99))\/sqrt(9) + -1)**2.\nAnswer: 42*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1987990, 3975927, 5963862, 7951795, 9939726, 11927655, 13915582?\n\"Answer: -m**2 + 1987940*m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2889 by 2889.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.279 - 4.279. What is the closest to -2 in q, -0.19, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98883104 to the power of 1\/2, to the nearest integer?\nAnswer: 9944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24678827315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 57. Let h = -8 + b. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = 0, -4*q + 8*d = 7*d - 307. Which is smaller: q or 542\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 421401.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 12:37 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33190 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/22))\/(q*(q*q\/((q\/(q*q**(-42)*q*q*q))\/q))\/q) assuming q is positive.\nAnswer: q**(815\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -5. Let g = 4 - d. Let j = g - -2.9. Which is the nearest to j? (a) 0 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - -9 - (18 + -45 - -35)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 2*f - 3*f**2 - 4*f - 3*f**3. Let g(d) = 3*d + 1. Let o be g(-1). Is m(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98\/36*(-60)\/(-1995)*19\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -7?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + 5 + (sqrt(468) - (-2*sqrt(468) - sqrt(468))).\nAnswer: 5 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-1 - 1) + 2. What is the smallest common multiple of 20 and (-1)\/p + (-117)\/(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -427 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 * 322\nAnswer: 611.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 27 = -3*j. Suppose y + 12 = 5*r + 34, -5*y + r + 14 = 0. Suppose -y*x + 263 = j*l + x, -3*l - x = -201. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -3, 5\/2, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d**4 - 2769086*d**3 - d**2 - 3280*d + 1025.\nAnswer: -72*d**2 - 16614516*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.28 - 0.28. Let j = g + -16. Put -5, -0.05, j in ascending order.\nAnswer: -5, -0.05, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7136905 at least 7136906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o - 88*o + 854 = -108*o - 856 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4502687770?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 7668.\nAnswer: 53676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -731 - -730. Is -503 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 660 and 425048220.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**5\/20 + s**4\/3 - s**3\/3 + s**2 - 5*s. Calculate m(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*p**4 + 3*p**3 - 1094*p**2 + 10731866.\nAnswer: 128*p**3 + 9*p**2 - 2188*p","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 13*i**2 + 3. Let p be h(13). What is the derivative of -6*j**3 + 8 - p + 351*j - 351*j wrt j?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1918)\/3836)\/((-9)\/186)?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**5\/12 + 55*f**2 - 4. Let q(t) = 95*t. Calculate q(s(y)).\nAnswer: 475*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1229 = 4*a + 3*g, 11*g - 10*g + 1 = 0. Is 28 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z. Suppose 4*g + z*g - 92 = 0. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-2 - (55 - 3)). Suppose 0 = -j - 2*j + q. Calculate the lowest common multiple of 2 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2. Let z(v) = v**2 + 3. Let u(q) = -3*p(q) - 2*z(q). Let b(t) = 2*t. What is u(b(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*y + 249*y + 165*y.\nAnswer: 264*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14475, 14477, 14479?\nAnswer: 14481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 (base 7) in base 15?\nAnswer: c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 332 = 516 - 232. What is the highest common divisor of v and 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6326 - 12651\/2. Which is the nearest to -4? (a) -1 (b) y (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -133*8\/104.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/11, -3, -0.044, -2, -39 in ascending order.\nAnswer: -39, -3, -2, -0.044, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -260.7, -3, 0.3, 5.54 in ascending order.\nAnswer: -260.7, -3, 0.3, 5.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -478 - -479. Sort g, 4, 16, -1 in ascending order.\nAnswer: -1, g, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - m + 0)*(2*m - 2*m + 2*m**2) + 6*m**3 - 4*m**3 - 14*m**3)*(5*m + 5 - 5)*(3*m + 0*m - m) - 61*m**2 - 59*m**5 + 61*m**2.\nAnswer: -199*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/15)\/(12\/(-1695)). Let p = -35\/4 + k. Which is bigger: 0.114 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -0.19 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - ((-23636)\/12180 - 6\/45) and -34\/203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, and 2 d when four letters picked without replacement from ooofodldooollkkloflo.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.76214112 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (4 + -5 - -2) + 6 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5570202 + 3000202. Round u to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -201 + 258.7. Let d = 31 - y. Let n = -25.63 - d. What is n rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (sqrt(612) + -2 + sqrt(612))*6 + 1 + 1)**2.\nAnswer: -1560*sqrt(17) + 103528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 77*p**2 - 1\/240*p**6 + 0*p - 1\/60*p**5 + 0 + 0*p**3 - 1\/48*p**4. Factor f(a).\nAnswer: -a*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 3, 5, -4, -2 in ascending order.\nAnswer: -48, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8 - 2 + 2 - 7 + 13*p. Let q(j) = -7*j + 8. Calculate 11*q(n) + 6*u(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 9*y**2 - y - 7. Let j be c(-9). Suppose -2*x + 3*k = j*k + 67, x + 32 = 2*k. Let b be x\/8 - (-2)\/8. Put -0.4, 0.3, b in descending order.\nAnswer: 0.3, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4*f - 52 = 0, -8*u - 2*f - 12 - 74 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/7 (b) 44\/27 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 6 - (4 - 1) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343 (base 11) in base 13?\nAnswer: a3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u + 2768*o + 9 - 53 = 2766*o + 170, 0 = 3*u - 6*u - 4*o + 1 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -88. Which is the third biggest value? (a) 0 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - v = 4989, -2*v = 4*j - 3638 - 3024. Differentiate -54*a**3 - 14*a**3 + 1692 - j with respect to a.\nAnswer: -204*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, -73, -109, -147?\n\"Answer: -m**2 - 31*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41*-89.\nAnswer: -3649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -637254 and -28.\nAnswer: -637282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6*n = -5. What is the smallest common multiple of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.078 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 8:03 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by -4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 105*z - 2160. Determine n(77).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -234*z + 236*z. Suppose 5*i - z = -c + 2*i, -3*c = i - 44. Calculate the highest common divisor of 735 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 14*h + 83 = -28*h - 7*b - 22, -5*b - 75 = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20735682 a multiple of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/11 (b) 69 (c) 1\/2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*i + 1332*k - 1335*k, -2*i + 3 = 3*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -75, 1\/4, -0.28 in decreasing order.\nAnswer: 1\/4, -0.28, -0.9, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-2)\/25 - (-6 + 2772\/(-350)). Solve 4*g + 4 = 0, -o*i = -11*i - g - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 6*a - 3. Let i(p) = -p + 1. What is 3*i(k) + n(k)?\nAnswer: 2*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, -27, 2, -0.11, 1.042?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (132\/1287)\/((-18)\/(-39)). Let x = -3 - 8. Sort c, x, -5 in ascending order.\nAnswer: x, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*h + 30, r - 5*r = 3*h - 32. Let y = 9 + -4. Suppose -y*c - 3 = -13. What is the remainder when r is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 595\/56*(-28)\/10. Let m = 30 + x. Let t = -53 + 261\/5. Which is the nearest to 0.03? (a) t (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {w: 4, p: 10}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2386, -7458, -15216, -25660?\nAnswer: -38790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83044 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/(n**(7\/3)*n))**(-31) assuming n is positive.\nAnswer: n**(496\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**4 - o**3 + o**2 + o - 2. Let i(m) = 5*m**4 - 4*m**3 + 3*m**2 + 4*m - 8. Let f(p) = 9*b(p) - 2*i(p). Factor f(l).\nAnswer: -(l - 1)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-11)\/(s*s**2*s) assuming s is positive.\nAnswer: s**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 722 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = 3*j - 12, -7 = 2*j - 5*o. What is the nearest to j in 4, 0.1, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 7*u**2 + 5*u + 3. Let s(j) = -j**3 + j**2 + j + 1. Let v(o) = 6*s(o) - 2*w(o). Let v(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 11*t**2 - t - 7. Let y be o(-11). Suppose -p = 2*p + y*z - 32, 4*p + z = 21. Factor 10*d**4 - 7*d**4 - 12*d**3 - 7*d**p.\nAnswer: -4*d**3*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**3\/7 - 48*y**2 + 4338*y\/7 - 572 = 0?\nAnswer: 1, 13, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - 6706*m - 6703*m + 13410*m + 510 + 0*m + 0*m - m**2 + (1 - 2 + 2)*(-3*m**2 + 4*m**2 + m**2) + 3*m**2 - 5*m**2 - 2*m**2.\nAnswer: -4*m**2 + m + 510","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24120 and 210.\nAnswer: 168840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -75*c + 2. Suppose -5*j = -4*v - 2*j + 1, 5*v - 6 = -j. Let w be (-2 + v)\/(1 + -2). Let s be q(w). Round s to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 18 = 2. Let w(a) = a**2 + 9*a - 13. Let d be w(-10). Let r = k - d. Is r >= -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 350840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r = 72. Let f be 15\/(-2)*4\/r. Suppose -1\/4*m**3 - f*m + m**2 + 1\/2 = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 499516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 37*f**3 - 7*f**2 - 13*f - 45. Let g be m(-15). What is g rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in years?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 23.069742 months?\nAnswer: 1.9224785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -5. Let c be (-102)\/q*126\/98. Let u = c - 66. Which is greater: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -64.5. Let p = g + -2.9. Let w = 6 - p. Round w to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2970185386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -642 - -810. Suppose -21*l + t = -49*l. Let v(g) = -7*g**3 - 6*g**2 - g + 6. Let x(a) = -6*a**3 - 5*a**2 - a + 5. What is l*x(j) + 5*v(j)?\nAnswer: j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (1 - 2) - -4. Suppose -2*b + 8 = 2*b. Is (b\/c)\/(7\/588) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 696911 - (1 - 2). Let t be (-3053821)\/2 - 3\/(-6). Let h = t - y. Round h to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 13 - 5 = 0. What is the remainder when 17 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-812)\/(-6)*(-19255)\/7702*(-6)\/35.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85257 + 711794*l - 85257.\nAnswer: 711794*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 882476795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/32 and -47\/36136.\nAnswer: 144544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -19*j. Suppose g + 7 = t, j*t + t - 2*g = 10. What is the nearest to 4\/5 in t, -1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abdo when four letters picked without replacement from qbado.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -3*o - 9, 30 = 3*f - 7*f - 10*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (29 - 5) + (1 - -14)\/(-5). Let f(u) = u**3 + 6*u**2 - 4*u - 3. Let m be f(-6). Calculate the highest common factor of m and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/518 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27373133981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2219 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 10 = 4*m, -f + 0*m = -m. Which is the third smallest value? (a) 0.1 (b) -4 (c) f (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 186320 and 111792?\nAnswer: 558960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9787429 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -942 + 950. What is the smallest common multiple of 1 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87 and 96.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 4*r - 56, -30691*r + 5*h - 60 = -30694*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -31 + 4\/3*p**3 + 2*p + 2*p**2. Let o(u) = u. Give -i(d) + 4*o(d).\nAnswer: -4*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**3 + 2*a - 4. Determine u(-3).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 2. Let l(c) = -c**3 - 8*c**2 - 13*c - 2. Let s be l(-6). Suppose -17 = -5*w + 4*h, 4*w + s*h - 28 = -0*w. What is y(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -664946 and -48.8.\nAnswer: -664994.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 30 = 5*g, 3 = g + 3*z - 3. Suppose -g = -2*i + 4. Suppose 34 = i*f - 6. Calculate the highest common factor of 40 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -31 + 3. Let h = -0.18 - -0.48. Let g = 0.8 - h. What is the second smallest value in -4\/3, g, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 15*a**2 - 12*a - 4. Give p(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6842, -54329, -183178, -434069, -847682, -1464697, -2325794?\nAnswer: -3471653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 162\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1152? (a) -4\/9 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by -5.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c - c - 15*c + 64 = 0. Put c, -4, 4, -2, 6 in ascending order.\nAnswer: -4, -2, c, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1990936*u**2. Let f(a) = 4*a. What is f(y(j))?\nAnswer: 7963744*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 8:43 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 + g**2 + g - 1. Let l be 2 - 3 - (-3 + 4 + -58). Suppose -3*r = -3*a + 12, -2*a + l = 3*a + 4*r. Suppose a = -90*v + 86*v. Calculate p(v).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -267 + 299 + (-36 - 12 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*q + 17*q = 5*q + 13725. What is the remainder when 1456 is divided by q?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 126\/12 - 1) + -5. Which is the closest to 2? (a) 0.6 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 1291*d**7\/42 + 2858*d**3\/3 + 4*d**2 + 171. What is the first derivative of w(x) wrt x?\nAnswer: 25820*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 58128*l + 406901. What is j(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 6. Let c(t) = 1 - 1 - 1. Let g = -23 + 24. Determine g*o(u) + 6*c(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 381761237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + -2 + (-13 - -12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**4)*v**(-2\/7)*v)\/(v**0*v**(1\/4)*v)*(((v**2*v)\/v*v)\/v*v*v\/v**1*v)\/(v**8\/(v*v**(-2))) assuming v is positive.\nAnswer: v**(-43\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5656 = -17*u - 11*u. Calculate the remainder when u is divided by 63.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 6. What are the prime factors of (1 - -6) + g + 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*p = 181*p + 624 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*v = -10, -2*f + v - 4*v = 4. Let l be 0\/(f + (-4 - -4)). Which is bigger: -6\/73 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37e3d9 (base 16) in base 11?\nAnswer: -2081a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 494 - 492. Solve 4*d + 1 = 3*w, -4*w - 4*d = -s*d - 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8903813ml in litres?\nAnswer: 0.0008903813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r + 24. Suppose x = v - 2, -44*x + 16 = -43*x + 5*v. Let q(b) = b. What is x*h(f) - 2*q(f)?\nAnswer: f + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-8)\/(-6)*(-89)\/((-156640)\/132).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -840?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -161, -278, -503, -872?\nAnswer: -1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 + 7)*(-1)\/2. Suppose -q*l + 61 = -7. Suppose 3*w - 2*w = 5*s + 39, 0 = -2*s + 5*w - l. Is s greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c**3 + 9*c**2 - 11*c - 6. Suppose 0 = -126*m + 114*m. Suppose 7*h + m = -28. Let t(z) = -5*z**3 - 4*z**2 + 5*z + 3. Determine h*x(y) - 9*t(y).\nAnswer: y**3 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*((sqrt(25) - sqrt(100)\/sqrt(4)) + sqrt(25)))\/((sqrt(5) + sqrt(25)\/sqrt(5))*-2*5).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 7*m**2 - 4*m + 2*m + 0 to f + s*m + r*m**2 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/6 of a century in months?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192*v**2 + 123*v wrt v?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15 = -0*g. Let c be (g + -2)\/(2\/(-100)). Let b = 5 - c. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Suppose t*x + 21 = -7*k + 2*k, 0 = 3*x + 3*k + 9. Is ((-52)\/8)\/(x\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 95530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15418 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 817 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -91*o**3 + 119*o**2 + 5*o. Let j(g) = -46*g**3 + 59*g**2 + 2*g. Let p(q) = -5*j(q) + 2*z(q). What is the third derivative of p(u) wrt u?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2965536*n**2 - 31*n - 33700?\nAnswer: -5931072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 582178226 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: Factor -k**3\/3 - 571*k**2 - 283605*k - 31997637.\nAnswer: -(k + 159)*(k + 777)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15711 + -15248.4. Round t to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a tonne in kilograms?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -71?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2143035 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 2*l - 6, -267*l + 269*l + 6 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 0 - (23 + 18 + -21 + -27) - -11.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -u + 3 + 1, 12 = -4*v + 3*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -27. Let w be (82\/(-4))\/((-6)\/u). Suppose -5*t + 4 = -w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 + 164*i**2 + 161*i. Let z(m) = -15*m**3 - 657*m**2 - 642*m. Let k(w) = 9*v(w) + 2*z(w). Suppose k(q) = 0. What is q?\nAnswer: -1, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 853 - 1406*v - 3*v**2 + 1406*v + (1 - 1 + 2)*(v**2 + 3*v - 3*v).\nAnswer: -v**2 + 853","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117543.9374009 + -0.4.\nAnswer: -117544.3374009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464 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: Simplify t*t**(-20\/11)*t**(-27) assuming t is positive.\nAnswer: t**(-306\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/3? (a) 29\/5 (b) -147 (c) -5 (d) -0.1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/12, 10, -48, 0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4356 times -1?\nAnswer: -1.4356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d - 6. Let a be s(4). Let f(u) be the second derivative of u**3\/6 + 22*u. Calculate f(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:36 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 21*k**2 + 2*k + 2. Let d(f) = 42*f**2 + 5*f + 5. Let l = -2967 - -2969. Calculate l*d(p) - 5*a(p).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.0107 - -0.0107. Let j = 12.5 + -12.6. What is the third smallest value in h, 0.2, -0.01, j?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3)\/((20\/25)\/(-4))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4819, -15372, -25925, -36478?\n\"Answer: -10553*l + 5734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48088 + 49378. Let f be 604\/14 + (-2)\/14. Calculate the highest common factor of f and k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 91*s**2 + 21*s + 4. Let o(q) = 271*q**2 + 59*q + 11. What is 4*o(a) - 11*p(a)?\nAnswer: 83*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -13, 25, -2, 1 in decreasing order.\nAnswer: 25, 16, 1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, 983, -0.2, 28.7 in descending order.\nAnswer: 983, 28.7, 9, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + l - 25, -3*l + 20 = -28*w + 29*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 45*i**2 - 184*i + 4929. What is x(8)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 3:37 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 14*b**3 - 4309*b**2 - 13025*b - 8702 = 0.\nAnswer: -2, -1, 4351\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/9*(-6)\/4. Let n(x) = -2*x - 1 + l*x**2 + x**2 + 2. Let u = 32 + -31. Give n(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 724656\nAnswer: -362328","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 10721*c - 6549*c + 0.\nAnswer: -17270*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*1 + -38 + 26?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a + 19. Let p(x) = -15*x + 93. Give -2*p(d) + 11*s(d).\nAnswer: -3*d + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-306)\/(-30)*(-8)\/(-24)*-5\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1483*k**3 + 12*k**2 - 7*k - 8. Suppose t + i = 18, 4*i - 3 = 1. Suppose 7 = 3*y - t. Let h be w(y). What is h rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197 a factor of 5052178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6*9\/(-162))\/((-1)\/(-24)). What is the remainder when (-10)\/(-40) - 838\/z is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + 15*f + 37. Let k(t) = -t**2 - 7*t - 18. Let s(w) = 2*b(w) + 5*k(w). Calculate the least common multiple of 6 and s(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/270 and 67\/540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4*i = 2*i + 12, -w + 6 = -5*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30344, -103241, -224738, -394835?\nAnswer: -613532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 3678.\nAnswer: 7\/3678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j + 1. Let p be a(2). Suppose 3*v + 1 = 5*i, p*i = -4*v - v + 25. Calculate the remainder when ((-3)\/(-4))\/((72\/(-32))\/(-9)) is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 858*m = 856*m - 4880. Calculate the common denominator of 41\/14 and (-5)\/(m\/138)*(-6)\/(-9).\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3444*d + 79591 + 127060 = 6899 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -8896 and -0.07 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173631 + 173630.999928569. What is l rounded to 6 decimal places?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - 6*k**4 - 29*k**4 + 1494 - 11*k**4 - 1494 + (3*k - 3*k - 2*k**2)*(-3*k**2 + 2*k**2 + 0*k**2) as c*k + a*k**3 + n*k**4 + m + t*k**2 and give n.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1026, 2026, 3010, 3972, 4906, 5806, 6666, 7480?\nAnswer: 8242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3795 - -3797. Let c be -4 + (4 + -28 - -3). Put 4, o, c in decreasing order.\nAnswer: 4, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 12*u - 5. Give o(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 67*x**4\/4 + 3*x**3 + 47. What is the third derivative of t(g) wrt g?\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 322 in 1, 0.9, 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2728 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*2 + -1.\nAnswer: -1 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/41? (a) 4.9 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 996*n**2 - 2081*n**2 + 2196*n**2.\nAnswer: -2*n**3 + 1111*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*(450\/160)\/(-15)*-24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-3771)\/(-2 - -3). What is the hundreds digit of o\/33 - 10\/55?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) + (-4)\/2 + 3. Which is the smallest value? (a) -23\/3 (b) x (c) -2\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337.3947 nanoseconds to microseconds.\nAnswer: 0.3373947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.211 and 36.\nAnswer: 7.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40205 (base 6) in base 12?\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40955 - -40958. Solve i*h - 10 = 3*c + c, -5*h + 5*c = -20 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l**3 + 746*l**2 - 2620*l + 336 = 0. What is l?\nAnswer: -28, 2\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*q - 92*q + 30*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 0 - 9\/(-6))*18. Solve 6 - z = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11176 and 6180607400.\nAnswer: 11176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - (2 + 4 + -8))*-3. Suppose u*m + 2 = -5*p, -2*p + 2*m = 2*p - 16. Solve 0 = -p*a - 3 + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3090 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142 - 813*p**2 + 416*p**2 - p**3 + 121 + 3*p**3 + 398*p**2 to the form z*p**3 + q + g*p**2 + x*p and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71628 - -46228. Round s to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4 - 51*z**2 - 98*z - 48 = 0. What is z?\nAnswer: -6, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2. Let o(h) be the first derivative of h**3\/3 - 3*h - 3. Let f(q) be the first derivative of o(q). Give y(f(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-10)*(-3)\/((-18)\/(-8)). Find the second derivative of -30*l**2 - 7 - 2*l - 3 - 6 - 17*l**c wrt l.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 989*o. Let w(d) = -2*d**2. Give s(w(u)).\nAnswer: -1978*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 24638848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + l + 21 = 0, -35*l = 5*o - 36*l + 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -2. Let d be 0 + (36\/3)\/(-2). Is ((-445)\/(-15))\/(h\/d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 6, -5*i + 2*p = 5*p - 19. Suppose -4*y + 5*l + 33 = 0, -5 = -i*y - 2*l + l. Suppose 381 = -y*o + 5*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**3 + 3*g + 3. Let q = -353 - -378. Let v(m) = q*m - 4 - 24*m - 5*m + 7*m**3. Give 4*o(l) + 3*v(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126280022*g**3 + 14*g**2 + 2*g + 753345.\nAnswer: -757680132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -1, -4 in descending order.\nAnswer: -1, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -10. Suppose -2*b + 3*l + 25 = 0, -2*b + u*l = -0*b - 28. Suppose -4*i = 4 - b. Solve t - 1 = i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-4\/3)*c)*c\/c**(-2\/81)*c**(-2\/59)*c**11 assuming c is positive.\nAnswer: c**(63676\/4779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 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: Express -6*u**3 + 12*u**2 + 262*u - 9*u**2 - 265*u - 8*u**3 in the form r + f*u**2 + q*u**3 + h*u and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 3:16 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**5 - 20*l**4 + 37*l**3 - 18*l**2 = 0.\nAnswer: 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 116140 + -319.3973?\nAnswer: 115820.6027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3461, 2014, 567, -880, -2327, -3774?\n\"Answer: -1447*a + 4908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1. Let g(y) = -2*y + 4. Let q(n) = 4*f(n) - g(n). Let a(w) be the second derivative of w**4\/6 + w. Determine a(q(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3293079?\nAnswer: 3, 41, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4645, 12, -1, -5 in ascending order.\nAnswer: -4645, -5, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -4*z + 2*i + 9, z - 4*i = 18. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r - 96. Let w be a(24). What is the common denominator of -69\/80 and 160\/(-256)*(w - 2\/25)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -2 (c) 2\/9 (d) -8 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 9785.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**4 - u - 3*u**3 + 434 - 2*u**3 - 4*u**4 + 29*u**3 - 22*u**3 as x*u**3 + a + b*u**2 + f*u + y*u**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 + 1045*v**4 + 14955*v**3 + 79515*v**2 + 184140*v + 157140.\nAnswer: 5*(v + 3)**3*(v + 6)*(v + 194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**5 + 19*k**5 + 24*k**5 + 4*k + 14*k**5 - 4*k + (3*k**2 - 3*k**2 + k**2)*(-2*k**3 + 0*k**3 + 5*k**3).\nAnswer: 63*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 + 692 = 5*f - 2*c, -695 = -4*f - 3*c. Suppose -2*q = -0*q - 5*y + f, 94 = -q + 4*y. What are the prime factors of (-1)\/(3 + q\/24)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 3:57 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(90\/(-20)))\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110011 (base 2) to base 3.\nAnswer: 111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59260.6ng to micrograms.\nAnswer: 59.2606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 0 + 2)*(-4)\/16. Which is the nearest to -1? (a) x (b) -11 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.43 (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 + 0*f + 0*f)*(148377*f**2 - 74273*f**2 - 11*f - 75867*f**2) in the form x*f**4 + z*f**2 + n + q*f**3 + w*f and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-4 + 1)*1. Suppose a*d - 12 = 4*q, -d + 4*d + 5*q - 29 = 0. Let v = d - -20. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637440 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 d when four letters picked without replacement from doooddd?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 159 - 5?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3236012 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (42*(-31)\/(-3255))\/(51\/(-15))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/3)\/(1\/(-6)). Sort 1, 0, -2, l in decreasing order.\nAnswer: l, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 169, 186, 205?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.5031ml in litres?\nAnswer: 0.1755031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2591.63 rounded to the nearest 10?\nAnswer: -2590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -33*q + 37 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1890 + -1861. Solve -s = 21*k + 34 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 75.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/7 (c) -1\/4 (d) 10 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 260 + 2*i + 2*i - 6866 - 4*i + 7142*i**2 wrt i?\nAnswer: 14284*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37377.1 + -0.024782?\nAnswer: -37377.124782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14415688 divided by 274?\nAnswer: 52612","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25193*f**5 - 3136*f**4 + f**3 + 1353574147*f?\nAnswer: 503860*f**3 - 37632*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 12*o - 297. Suppose 4*c = -3*b + 20, 4*c + b - o = -3*b. Solve -c*y + 11 - 1 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 13*m - 31. Calculate r(-11).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2323\/9 + -258. Let f = -12 + 7. What is the second smallest value in 1, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 3*n - 143. Suppose -3*b + 4*y + 163 = -228, -3*b = y - 401. Calculate the remainder when b is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -1.2. Let v(j) = j**2 + 43*j - 10456. Let a be v(-126). Sort a, -10, w.\nAnswer: -10, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 + -5)*6\/9. Solve -5*q - 2*a + 9 = -18, q - i*a - 3 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5 + 93*m**2 + 163*m**2 + 4*m - 75*m**2. Let c be r(-5). Round c to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2 = -3*f + 2*i, 3*f = -4*i - 17. What is the closest to 1\/2 in 0.4, -9\/5, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 5)*(-3 - 4371*k**2 + 4373*k**2 + 13*k - 5*k**3 + 3*k**3) as v*k**2 + i*k + u + t*k**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 - 0.9. Let o = -2 + d. What is the second smallest value in o, -1\/9, -1, 0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -6 (c) -16 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191224 - -3402859.\nAnswer: 3211635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from grmagjaaagamhhamar.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83104643 is divided by 3727.\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -170.\nAnswer: -7\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 474230 - 78657. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/6 + 3*f**3\/2 + 19*f**2\/2 - 37*f. What is the hundreds digit of d(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -750?\nAnswer: 749.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*i**2 - 32*i**2 + 9*i**2 + (0 - 5 + 3)*(0*i**2 - 2*i**2 + 3*i**2).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c*q**3 + 3*c*q**2*y + 2*c*y**2 + 3*q**3*y**2 + q**3 - 2*y**2 wrt q?\nAnswer: -54*c + 18*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Let r(t) = t**2 - t**w + t**2. Let m(p) be the first derivative of p**2\/2 - 7. What is m(r(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 79402 to the power of 1\/2, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/27, 1, -2 in descending order.\nAnswer: 1, 4\/27, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7274956 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -5 (b) 0.3 (c) 1\/3 (d) -1 (e) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 42*t + 19 - 1591*t as n*t + h and give n.\nAnswer: -1633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3 - (23 - 23)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -811 (base 16) in base 10?\nAnswer: -2065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1708688, 1708686, 1708684, 1708682?\n\"Answer: -2*z + 1708690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.9224 kilometers in millimeters?\nAnswer: 45922400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 2208\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 4*w - 5. Suppose 2*c - 9 = -3, 0 = 5*v - 3*c - 66. What is the remainder when u(4) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -25.4. What is the closest to -2\/7 in 3, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166\/26787 or -1?\nAnswer: 166\/26787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 191*p**2 + 8778*p - 381. What is g(-46)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 2:36 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 4125 - 415 = 0. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 10 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 47*x**2. Let l(s) be the third derivative of 0*s**4 + 0*s**3 + 0 + 0*s + 1\/12*s**5 + 120*s**2. Calculate l(j(a)).\nAnswer: 11045*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3254 + 194 + 68 + 2*s**2 to the form y*s**2 + m + k*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(10\/(4 - 14)). Let w be ((-4)\/(-10))\/(5\/25). Solve k - n - 4 = 0, -w*k - 5*n + 4*n - 4 = h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*(-345)\/46\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 2. Suppose -v = -2*v + x. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j**2 + 5*j - 2. Let h be r(3). Let b = h + 127. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1981*m**3 - 991*m**3 + 28*m**2 - 989*m**3)*(-2*m + 2*m + 4*m).\nAnswer: 4*m**4 + 112*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4 + 23092*q**3 + 23154*q**2 - 692676*q - 1662768 = 0. Calculate q.\nAnswer: -4, -3, 6, 11547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-6)*1\/(-6).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n = -29*n + x - 15, 5*n = 4*x - 30. Let v = 8 + -6. Let q be 22\/v - 1 - 8\/n. Solve -y = -2*a - 0*y - q, -5*a = 3*y + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - (-712)\/(-220)) + 2 and 41\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20703442609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - c29?\nAnswer: -c2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 + 6978*t**3 - 13950*t**2 + 6974*t = 0. Calculate t.\nAnswer: 0, 1, 3487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 2584*l - 498594. What is q(210)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -254, -585, -1134, -1901?\n\"Answer: -109*t**2 - 4*t - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 12:19 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-14 - 5 - -22). Let i = -1 - -1. Solve 2*c - o - 4 = i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3 - 7. Let c = z + -5. Solve -c*i - 9 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19198 is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*b**2 + 105*b + 2*b**3 - 149 + 61 - 164 + 97*b - 21*b**2.\nAnswer: 2*(b - 1)*(b + 7)*(b + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-6))\/(6\/(-16)). Suppose 2*u + 8 - 22 = 0. Let q(x) = -15*x**2 + 2. Let s(n) = -8*n**2 + 1. Let i(l) = u*s(l) + z*q(l). Calculate i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 216.48, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3159978723?\nAnswer: 3, 11, 1201, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1010 + 10. Let w = -414 - j. Is w a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + -0.1. Let i = s - 2. Let x = i - -4. Which is the third biggest value? (a) x (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/300 + d**5\/150 + d**4\/30 - 7*d**2. Factor a(r).\nAnswer: -2*r*(r - 2)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 10 + 1 + 163*c + 3 - 46.\nAnswer: 163*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/81 and 139\/144.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01402213373 to five dps.\nAnswer: 0.01402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3539569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11341 is divided by 2828.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 10*q + 282. Determine f(19).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, k: 8, m: 4, w: 3}. Give prob of picking 3 m and 1 k.\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 - t**2 + 4*t**2 + (-3 + 2 + 0)*(2*t**2 - 4*t + 4*t) + t**2 - 5*t**2 + 6*t**2 + (t**2 + t**2 + 0*t**2)*(-32 + 3 - 17).\nAnswer: -94*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9466.11033 + -0.11033. Let p = 10223.3 - t. Let u = p - 794. What is u rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -97*l + 1. Let w(a) = 48*a. Let y be (-13)\/(-1) + 2\/(16 - (-715)\/(-44)). Give y*w(c) + 2*q(c).\nAnswer: 46*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14904.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/21 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 26 = -5*w, -2*o - 3*w + 42 = o. Solve 5 = 3*a + 4*y - o, 0 = 2*a + 4*y - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2209 is divided by 734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2211053892 to 4 dps.\nAnswer: -0.2211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -418 + 1001. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 8, 2 in descending order.\nAnswer: 8, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9*1*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 6 + 5 + 7 + 1512*t)*(-10*t**4 - 12*t**4 + 9*t**4).\nAnswer: -19656*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 - 54 + 11)*(-t**4 - 3*t**4 + 9*t**4 + (2*t**4 - 3*t**4 + 2*t**4)*(-2 - 2 + 2)).\nAnswer: -261*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -0.381 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*o - 6 = 0, 0 = -u - 0*u - 5*o + 10. Let w(m) = -m**2 + 6*m + 2. Let a be w(6). Solve 4*h - 17 = -t, u = -a*t + 6*h - h - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3889*n**3 - 3868*n**3 + 2*n - 3 + 2 + (n**2 + 6*n**2 - 5*n**2)*(0*n + n - 3*n) - 3*n**3 + 0*n**2 + 0*n**2.\nAnswer: 14*n**3 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (98 - 106) - (10 + -1)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 at least 440\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -781 = 3*m - 8*m + 2*i, -3*i = m - 146. Let g be (m\/4)\/(3\/12). Suppose -g = -6*r + 5*r. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -359 - -0.1?\nAnswer: -358.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert e7 (base 16) to base 3.\nAnswer: 22120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -20?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 659718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*s**3*w + 4*s**3 - 1040*s*w wrt s.\nAnswer: -156*s*w + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 179 + 11*u - 22*u + 179.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -110299 (base 10) in base 6?\nAnswer: -2210351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 1. Let b(v) = 12*v**2 - 2*v + 10. Let d(o) = -b(o) + 2*r(o). Differentiate d(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 h, and 2 r when four letters picked without replacement from {r: 7, u: 8, h: 5}.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -91838.98 rounded to the nearest one hundred?\nAnswer: -91800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/5, -75.8, 11 in descending order.\nAnswer: 11, -3\/5, -4, -75.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -272\/7, -7, -3\/7, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - 2*z**4 - 5 + 9 + 10*z**2 - 5 to the form b*z**3 + w*z + d + p*z**2 + g*z**4 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9138782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -29*c**4\/10 + 5*c**3\/2 + 3*c**2\/5 + c + 4. Determine o so that i(o) = 0.\nAnswer: -2\/29, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, j: 7, x: 2}. Give prob of sequence xxj.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 2\/3 (c) -7 (d) -0.5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/(-16) + 2 - 7404\/(-96). Suppose -65 = 5*h - 175. What is the highest common factor of h and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2\/7 + 14428*b\/7 = 0.\nAnswer: 0, 7214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 478256 divided by 142\nAnswer: 3368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 13*h = -6*b + 28, h + 2 = -b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0370847778 rounded to six dps?\nAnswer: 0.037085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5192300 and 40.\nAnswer: 10384600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 20, 28, 38, 50, 64, 80?\n\"Answer: g**2 + 3*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1450 - -1446. Let v be (20\/(-6))\/((-16)\/24). Sort v, 1.3, s in decreasing order.\nAnswer: v, 1.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1473 + -44191\/30. Calculate the common denominator of -25\/282 and a.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 142, 125, 90, 31?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + 20*j**2 + 68*j + 120. Let n be b(-40). Round n to the nearest 1000.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 3 (c) -2\/167 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 17, -1.7.\nAnswer: -1.7, 17, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2570068390 to the nearest one million.\nAnswer: -2570000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1\/8 (c) 0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000854702 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -78 + 0.04\nAnswer: -77.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-5*(-4)\/20. Let j(y) = 2*y - 1. What is j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*o + 28 = 0, 0 = -4*r - o - 0*o - 38. Let v = 12 + r. What is the remainder when 10 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33228 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5746556, -11493114, -17239672, -22986230, -28732788, -34479346?\nAnswer: -40225904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65.4183582 - -65.1759. Let v = m + 2.04245756. Let r = -1.8 + v. What is r rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 2313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x. Let s = -42 - -49. Determine d(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1523.72*7.\nAnswer: 10666.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119129, 238475, 357821, 477167?\nAnswer: 596513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*z + 285 = -0*z + 262, -9 = -2*p + z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4))**(-20))**(3\/8) assuming c is positive.\nAnswer: c**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.036710968 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 2. Let w(a) = 2*a - 1. Let q(l) = -2*v(l) - 3*w(l). Let t = 5 + -2. Let j(d) = -2*d + 501 + 6*d - 500 - 2*d. Calculate t*j(b) + 2*q(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63b (base 12) to base 6.\nAnswer: -4115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrtxxrrdtxrxt. Give prob of sequence dtr.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-90)\/(-48) + (66\/48)\/11. Suppose o = -h*i + 1, -22 = -10*i + 11*i + 5*o. Let k(c) = 6*c - 12. Give k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 35*z**2 + 75. Let o be c(35). Calculate the greatest common factor of o and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*d + 4 = 0, 2*z - 4 = -d + 1. Suppose 0 = 35*h - 30*h - 15. What is the remainder when h is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144048715 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -8) + (1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 (base 16) in base 8?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**4 - 494 + 494 - r**2 + r**2 + 2*r + 2*r**4 + (3*r**3 + 2*r**3 - 3*r**3)*(-r - 5*r + 4*r) as d + v*r + k*r**3 + c*r**2 + i*r**4 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 63*b**2 - 42. Let s(j) = 23*j**2 - 15. Let d(m) = -14*s(m) + 5*v(m). Let g(y) = -36*y**2. Determine -14*d(r) + 3*g(r).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phojhhhwjhhhwhphhhh. What is prob of sequence wwpj?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/32313077 or 0?\nAnswer: -1\/32313077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 3:29 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**5\/5 + q**4\/2 - 2*q**3 + 3*q**2\/2 - 90*q. What is the least common multiple of s(2) and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 = -t - 2*y, 5*t - 4*y + 5*y = 1282. List the prime factors of t.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 6*s + 2. Let x be c(4). Let z = 65419 - 65422. Put x, 5, z, -2 in increasing order.\nAnswer: x, z, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*r + 4013*r + 34 - 1.\nAnswer: 3967*r + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 43 = -5*q, -2*q = 4*c + 2*q - 124. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -7. Let n(m) = m**2 + 4*m + 31. Let c be n(-11). Suppose -14*j + 11*j = -c. Calculate the highest common divisor of d and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*1957.\nAnswer: 587.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4686 or 0.94?\nAnswer: 4686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -965 (base 12) in base 10?\nAnswer: -1373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142728669*c**4 + c**3 + 9*c**2 - 3*c - 111351.\nAnswer: 3425488056*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 524557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14944 or -14878?\nAnswer: -14878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57125 = 23*k - 56527 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7185, 6378, 4989, 3012, 441, -2730?\n\"Answer: -f**3 - 285*f**2 + 55*f + 7416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.9154021 to one dp.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:05 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -6 (b) 1 (c) -0.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8363 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -13. Let n(q) = 7. Let s(d) = -11*n(d) - 6*w(d). Let z(y) = -y - 11. Let a(l) = -5*s(l) - z(l). Find the first derivative of a(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -15 + 7 + 30 + -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 11269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - j**2 + 7*j - 3. Let o be u(6). Is 63 a factor of (o - 29)*1\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 - 45 + 108)*((-4 + 2 + 0)*(3 - 3 - 2*d) + 1 - 1 - d).\nAnswer: 414*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*u + 10*u + 6*u)*((-4 + 3 - 1)*(-4 + 5 + 1) + 1 + 2 - 1)*(-16 + 11 - 8) to p*u + l and give p.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516*n - 10 - 1029*n + 517*n.\nAnswer: 4*n - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23237487 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(95) - (sqrt(95) - -1*sqrt(95)))\/sqrt(5) - (5 + (sqrt(38)\/sqrt(2) + -1)**2))*-1.\nAnswer: -sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 10 - (4 + -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/7 - 131881756*i\/7 - 2174099695705442\/7 = 0. Calculate i.\nAnswer: -32970439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/36456 and -5\/38808.\nAnswer: 1203048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 130071 less than -439700.4?\nAnswer: -569771.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {z: 1, o: 2, p: 1, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1186*i + 203984. Give s(172).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(300) + (sqrt(3) - sqrt(21)\/(sqrt(7)*-3)))**2.\nAnswer: 68*sqrt(3)\/3 + 1159\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -172, -157, -142?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -2\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84915*d**5 + 63497*d?\nAnswer: -1698300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35 - 1a5?\nAnswer: -22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 12*c + 124 = 0. Suppose 3*y - 5 = c. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 193*g + 2 - 191*g + 0. Let q(p) = 1. Calculate 3*q(i) - x(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j + 2. Let n be g(0). Suppose -5*m + n*v = 4*v + 14766, 3*m = 2*v - 8866. Let d = m + 4855. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*h - k - 20, 4*k = -5*h + 108. Suppose -4*q + h = q. Suppose 0 = 5*n - 4 - 6. Solve s = -q + n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8314518 and -8.\nAnswer: -66516144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -17*o - 43. Let f(l) = l**3 + 4*l**2 - 45*l + 6. Let s be f(-9). Let c(h) = -8*h - 21. Give s*w(p) - 13*c(p).\nAnswer: 2*p + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) - 38\/(-14). Suppose 2*c - b*x = 66, 0*x = 5*c + x - 131. Let s = c + -19. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -282*c*d**2 + 4*c*d - 75449*c + 5*d**2 - 2*d wrt d?\nAnswer: -564*c*d + 4*c + 10*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 19*i - 12. Give r(4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38139, -152513, -343137, -610011?\nAnswer: -953135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7161 + -0.0181. Let j = -132 + 132.008. Let w = j - o. What is w rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.30045. What is p rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 20*q**2 - 128062*q - 753. What is x(368)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/5 (c) 10\/173 (d) 5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 523141129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 856369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (0 + sqrt(832))*-5 - ((1 + sqrt(832) + sqrt(832) - sqrt(832)) + -2 + sqrt(832))**2*-4) + -2 + -5.\nAnswer: -168*sqrt(13) + 13311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 4) to base 14\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:54 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - ((4 - 4) + (-4 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*(9 + 38\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 52.\nAnswer: 57\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 5. Suppose -g*l + 14 = -l. Factor 0 + 0*w + 0*w**l + 3\/4*w**3.\nAnswer: 3*w**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4815*t**3 + 19270*t**2 - 19300*t + 40.\nAnswer: -5*(t - 2)**2*(963*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 183*v**2 - 2880*v + 2700.\nAnswer: -3*(v - 30)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -40. Let c = -12 + 18. Let b be -2 + u\/c - 2. Put 2\/3, b, 4 in increasing order.\nAnswer: b, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(31\/3)*(p*p*p**(1\/5)\/p)\/(p*p**(4\/9)))\/((p*p**8\/p)\/(p*p**7\/p))**(1\/24) assuming p is positive.\nAnswer: p**(-3823\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247070 is divided by 622061.\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-147)\/(-15) + (-1)\/(-5). Let t = 30 - w. Suppose 0*d + t = 5*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239460 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6988086, -13976166, -20964246, -27952326?\n\"Answer: -6988080*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992.26kg in milligrams?\nAnswer: 1992260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7))**(-46)*(s**(-1)\/s)**(-4\/13) assuming s is positive.\nAnswer: s**(-1140\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:21 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkxkkkkkkkkkkkkx. What is prob of picking 2 k and 2 x?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - 794. Let j = f - -651.7. Round j to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7 = 3*g - 7, -5*g + 22 = -2*z. Let a(v) = v**2 - 1. Let l(p) = 8*p**2 - 6. Let r(i) = z*l(i) + 6*a(i). Let c(k) = -9*k. Calculate c(r(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - -2) + -2 - (-2 + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33494 + -276358996\/8251. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192.18 - -192. Round x to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -11. Suppose 3*j = x - 16, x + 16 = m*j - 7*j. Suppose -x*y + 5*a = -1263, 4*a = -3*y + 3*a + 952. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 20 = -2*x, 2*x - 3*x - 4 = 0. Let b be (y + 1)\/(-9 - -8). Solve b*f + z = -8, 0*f - f + 2*z - 4 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2817 - 2816.1. Which is the closest to -26? (a) 1\/3 (b) 1\/4 (c) g (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 10) in base 6?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 208227954 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - d = 906, 0*h + 3*d - 376 = -2*h. Let p = h - 181. Let m(x) = x**3 - 3*x**2 + 2*x - 2. Let j be m(2). Sort 5, -1, j, p.\nAnswer: j, -1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 10 = -0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -2 + 38 + -98.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2983 (b) -0.12 (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18772, -19068, -19562, -20254, -21144, -22232?\nAnswer: -23518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4084 (base 9) in base 8?\nAnswer: 5660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145.065 + 0.065. Let p = x + 144.999959. Round p to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.9147 + -7.0667. Let z be -2 + 1 - -1*2. What is the biggest value in -4, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j + 9. Let m(q) = q**3 - 11*q**2 + 23*q + 5. Let u be m(8). Is u > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -75*q**3 - 10*q**2 - 14*q - 17. Let s be t(7). Let k = s + 330. Round k to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6 + (-6)\/(-9). Suppose 5*p - 3*p - 24 = b. What is the greatest common divisor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*m + 52 - 44 - 30*m to z*m + d and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*b**3*i**2*n**3 - 11*b**3*i*n**3 + 5*b**3*i*n**2 + b**2*i**2*n - 14*b*n**2 wrt n?\nAnswer: -198*b**3*i**2 - 66*b**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4967?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118 - -123. What is the first derivative of 13*w + k + 81*w + 34 + 38 wrt w?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 629.469 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5960491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 722827662 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -500232 + -32?\nAnswer: -500304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 7*g**2 - 5*g - 1. Let c be j(6). Let z = -774 + 774. Solve -w - c = -z*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.202 (b) -2\/5 (c) -3\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 77627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**2\/2 + 3. Let g(n) be the third derivative of -n**4\/6 - 54*n**2 + 2. Determine g(s) + 6*r(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {o: 2, w: 1, p: 1, g: 1, y: 1, j: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a**3 - 530*a**2 + 81*a - 55. Does 124 divide u(-67)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buc when three letters picked without replacement from ctctcbuc.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from uubbbbbb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*m + 6716 - 267*m - 6716.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 3*m + 0*m**4 + 0 - 7\/10*m**6 + 5\/2*m**3 + 0*m**5 + 0*m**2. Find the second derivative of c(a) wrt a.\nAnswer: -252*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14808 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*d + 1 - 8, 15 = 5*n + 5*d. Calculate the highest common divisor of 64 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 5*g**3 + 19 - 2)*(-g - g + 3*g).\nAnswer: 5*g**4 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27427.56 rounded to the nearest 10?\nAnswer: 27430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45046264 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000081716597 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r - 3 = 0. Let b = r - -2. List the prime factors of 2*b\/12*38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2 + (0 + 1 - 3)*(-2 - 2 + 3) - 1 + 1 - 1 - 1 - 6 + 3 - 4 - 3 + 5 + (-2 + 5 - 2)*(2 - 3 - 1) + 5 - 5 - 2)*(1261 + 19*q**2 - 1261).\nAnswer: -152*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 391, 1092 in increasing order.\nAnswer: -4, 2, 391, 1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 50486?\nAnswer: 50485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4125 is divided by 1163?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004382251 to six dps.\nAnswer: 0.004382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2))\/l)\/l**(1\/6)*l**1\/(l**0\/l) assuming l is positive.\nAnswer: l**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/w**(2\/7)*w)))**(2\/39))**(-39) assuming w is positive.\nAnswer: w**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l + 7. What is the remainder when 65 is divided by y(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 5. Let q = -9 - -12. Suppose -3*m - 9 = 0, 2*m = -q*h - m - 24. Let r(d) = -d - 4. Give h*r(z) + 4*n(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 231*a**2 + 597*a - 834. Give p(118).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 501 + -501. Suppose -10*a - a + 19206 = c. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.54, -8, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538347588 to the power of 1\/3, to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.95835 micrometers in meters?\nAnswer: 0.00004195835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/37072 and -61\/1232644?\nAnswer: 4930576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3372*y + 88. What is the hundreds digit of l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1761553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 215, 1869, 3521, 5171, 6819, 8465?\n\"Answer: -v**2 + 1657*v - 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 212\/198 - 322\/1771. Put 3, 0.1, v in descending order.\nAnswer: 3, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-16))\/(58\/(-2918)). Let b = a + 5\/116. Let l = 59649\/16 + -7465\/2. What is the common denominator of b and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5))**(-14) assuming h is positive.\nAnswer: h**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(315\/530) - (-210)\/945.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/19*(-101)\/(-2). Let g = h + -3\/19. What is the second biggest value in 1\/3, g, -5\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 1, 5, -2462?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 103*l. Let n(i) = 3*i**2. Give n(t(h)).\nAnswer: 31827*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222657 + 29485 = 146*d. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*n - 2, 0 = q + n - 3 - 1. Suppose 0 = -4*g + q + 62. What is the remainder when g is divided by (-43)\/(-5) - (-4)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5429907 is divided by 5429892.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 281*j + 2048. Determine w(-5).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63882424.\nAnswer: 2, 37, 107, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2859 is divided by 257?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -222 or -220?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0 (c) 0.2 (d) -569 (e) -6\/7 (f) 3 (g) -5\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quq when three letters picked without replacement from uqqqquuquuqqqq.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14845018?\nAnswer: 2, 389, 19081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m - 3*m + 4*m + 2*m + 3*m - 3*m - m + 4*m - 2*m + (-4*m + 5*m - 3*m)*(1 - 2 + 0) + (-3*m - m + 3*m)*(0 - 2 + 0) + 0*m + 5*m - 2*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 82? (a) -2 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 - 64*x - 24. Let n be p(-13). Which is the nearest to -2\/9? (a) -4 (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14774 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -49.\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 98742 (base 10) to base 2\nAnswer: 11000000110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 62.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 411500 rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*f - p - p, -5*f + 4*p + 47 = 0. Let g(u) = u**3 + 2*u**2 + u - 1. Let v be g(-2). Let t = f - v. Calculate the highest common factor of 90 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 83 + 11 = 0. Let q = -39 - -73. Calculate the remainder when q is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118*i*n**5 - 12*i*n**3 - 3*i*n**2 + 163*i*n + 13*n wrt n?\nAnswer: 2360*i*n**3 - 72*i*n - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 10, 4 - 12 = x - 3*b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576*n = -563*n - 4141 - 49211. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and (-312)\/(-14) - (-22)\/(-77).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 58\/3. Is n smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**8\/1344 + y**5\/30 + y**4\/12 + 3*y. Let x(n) be the third derivative of b(n). Differentiate x(l) wrt l.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - 9*b**2 + 36 - 2*b**2 + 0 + 0 + (5*b - 2*b - b)*(-3*b - 3*b + 5*b) to the form h*b**2 + p + a*b and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75179.0054 + 75172. Let t = 7 + n. Round t to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 4 (c) 2608958\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnknnkknnnnnnn. What is prob of sequence nnnk?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 6:09 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.369 + -11.526. Let o = -0.157 - b. Let f = 0.2 - 1.2. What is the biggest value in f, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 2:48 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1027 + -1028. Suppose 0 = -2*j - 2*j - 12. Let i(y) = 2*y**2 + 2*y - 6. Let b(l) = 1. Determine j*b(m) + p*i(m).\nAnswer: -2*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/137 + -2897\/685. Let c = n - -4. What is the third biggest value in -0.4, c, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3739 - 22507\/6. Let i = 449\/70 - 40\/7. Calculate the common denominator of i and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from klkkllkkkklkl?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1085 (b) 0.5 (c) 5 (d) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 21*p**3 - 2*p**2. Let g(b) be the third derivative of 11*b**6\/60 - b**5\/20 - b**3\/6 + 2*b**2 - 152*b. What is 2*g(r) - 3*y(r)?\nAnswer: -19*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 2 - (-4 + 0 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 162 + -7?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-975)\/(-585)*(-36)\/2370.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10660 and 4.\nAnswer: 42640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2227 times 0.58\nAnswer: -1291.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:09 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 13\/3*n**2 - 10*n - 4\/3*n**3 - 1\/18*n**4 + 2. Determine q, given that s(q) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36890511 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 43 and 0.54.\nAnswer: 43.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 9:15 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13155529 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + t**2 + 2*t + 2. Let p(o) = -25*o + 152. Let j be p(6). Let m(y) = -8*y**3 + 4*y**2 + 9*y + 9. What is j*m(s) - 9*z(s)?\nAnswer: 2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/24 and -167\/630.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9144 + 16792. What is the thousands digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 65 = -49. Suppose z*q - 22 = -p + 7*q, 4*p - 2*q = 106. What is the third derivative of -38*m**2 + 74*m**2 + p*m**3 - 17*m**2 wrt m?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1161933, 1161917, 1161883, 1161825, 1161737, 1161613, 1161447?\n\"Answer: -i**3 - 3*i**2 + 1161937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -2)*1*-1. Let b = -3 + 8. Suppose 0 = l + 3 + 1, -b*l - 32 = -4*z. Solve -3*v = u*y - 0*v - z, v = 4*y + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 6 - 8. Suppose 2*o + 5*y = k + 17, -o + 5*y + 12 = 0. What is the smallest common multiple of o and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (sqrt(117)*2)**2*-1) + 2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(171) - (sqrt(171) - sqrt(171)*2) - sqrt(171)) + sqrt(171))\/sqrt(9).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/3)\/2)\/(39300\/7074)*1?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c + 27 + 37 = -94*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28720599975 take away 1?\nAnswer: -28720599976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 21 + -2 - -63) + 2 + 2 + -15?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (20 - 18 - 674\/40)\/(-3) and -65\/44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 29*y**2 + 35*y - 165. Is 34 a factor of w(29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*u - 248 = -3*u, 5*u = 0. Suppose 0 = 2*d - j - 28, -6*j + j = -4*d + a. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 5:24 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -55 + 27 + (-1 - 1) + 23.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34755\/31 - 1121. Suppose 23*m + 0 = 23. Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.009, -6, 5 in ascending order.\nAnswer: -6, 0.009, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.026? (a) -14 (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04254 and 4.\nAnswer: -0.17016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.1723 times 258?\nAnswer: 3914.4534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*n - 21 - 1695 - 178*n**3 - 37*n + 419*n**3 wrt n.\nAnswer: 723*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (1 + sqrt(475))) + 4 + -1 + sqrt(475) + sqrt(475) + 1.\nAnswer: 3 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.28 + 0.38. Let d(i) = i + 3. Let x be d(-4). Let y = -1\/5 - -3\/5. Which is the nearest to x? (a) -1 (b) v (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 - 42*c**2 - 15*c + 0*c**4 + 2*c**3 + 0*c**4 + 40*c**2 to the form b*c**2 + t*c**4 + j*c**3 + u*c + y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(42 - 16 - 37)*(-29)\/4.\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 3306*i.\nAnswer: 3306*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 46844*t. Let o(x) = x**2. Determine h(o(d)).\nAnswer: 46844*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)*m)**(-1\/2)*(m*m*m\/m**(-4))\/(m\/m**3))**(-1) assuming m is positive.\nAnswer: m**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r - 62. Let m(w) = 2*w + 63. Give -5*m(g) - 6*v(g).\nAnswer: 2*g + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42507760?\nAnswer: 2, 5, 531347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 1:43 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -4\/11 (c) -3 (d) 0.3 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 5. Let f(b) = b**2 - 12*b + 15. Let u be f(w). Let d be (2\/(-12))\/((-4)\/(-18)). What is the closest to 1 in d, u, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/((-232)\/87).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6550*j**4*z + j**3*n*z + 5*j**2*n*z + j**2*n - 2*j*n*z - 50*j*z + n*z wrt j.\nAnswer: -157200*j*z + 6*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(2\/3)*a))*a*a*a)\/(a**(-1\/13)*a))**(-14\/9)*(a**(-1))**3*a\/(a\/(a*a**0\/a))*a\/a**(-7) assuming a is positive.\nAnswer: a**(-289\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17704 by 2.\nAnswer: -8852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -39. Suppose c*j = n + 2*n, -2*j + n + 2 = 0. Solve 0 = -j*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**3 + 6*n**3 - 10*n**3 + 4*n**3 + n**3 - 4*n**3 + 0*n**3 + 3*n**3 - 2*n**3 + (-2*n**2 - 2*n + 2*n)*(-n + 3 - 3) + 17*n**3 + 19*n**3 - 24*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1031 - 101?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3*u - 20 = 0. Let k = u + 8. Suppose i - k = -0. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.933258 + 1.9705. Round b to 4 dps.\nAnswer: 0.0372","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60017 or 16743?\nAnswer: 16743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*q = 28, -13 = -5*z + q + 3. Let k be ((-4)\/3)\/(z\/(-12)). Suppose k*h + 65 - 193 = 0. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -155. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -124. Let j = 246 - u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99571198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17348019 and 546?\nAnswer: 242872266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 0)*5\/10. Suppose -d*y + 5*f + 406 = 0, 0 = -5*y + f + f + 1015. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 58, -2\/7, 3, 0 in decreasing order.\nAnswer: 58, 3, 0, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = -1. Let n = t + 3. Let f be (16\/(-20))\/(n\/(-5)). Solve f*z - 8 = -2*g, 3*g = -z - 2*g + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and 1.0218?\nAnswer: 0.081744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2600)*-2 - sqrt(2600))\/(sqrt(128)*1).\nAnswer: -15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11843 + -11841. What is the third smallest value in -23, -67, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3)*-6 - 0. Suppose -2*j - j + 8 = -4*m, -h*j = 0. Let n = 86776 - 954538\/11. Which is the closest to 0? (a) m (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + a = p + 3, 3*a = -4*p - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*l + 39*l = 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2560*d - 555730. What is a(-217)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y. Let w(n) = 14*n - 9. What is v(w(g))?\nAnswer: 56*g - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 16*u**5\/3 - 416*u**4\/3 - 44*u**3\/3 + 1180*u**2\/3 - 944*u\/3 + 208\/3 = 0.\nAnswer: -2, 1\/2, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157630 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/211, 196, 5?\nAnswer: -2\/211","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -111. Suppose c = -i + 20. Let j be (-3)\/((-28)\/c - -2). Solve -2*l - j = -5*n, 6*n - n - 5*l = 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {c: 3, w: 4, g: 1, h: 6}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000056854 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 403 (base 6) to base 15\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21060*f**4*i**2 - 5*f*i**2 - 18*i - 24 wrt f.\nAnswer: 252720*f**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 + -167. Let n be k\/(-6) + 3\/((-54)\/(-834)). Calculate the highest common divisor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 175472 + -43?\nAnswer: 175427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33608478 - -3?\nAnswer: 33608482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -0.5, 18, 71?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134203973?\nAnswer: 19, 7063367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 4. Let o be a*1*(-1)\/(-4). Suppose -d - 2*d - 18 = -2*p, -5*p + 45 = o*d. Calculate the remainder when 32 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(-1*sqrt(75)*-2 + 3 - (-4 + (1 + sqrt(75))*-6))**2.\nAnswer: 3120*sqrt(3) + 14905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2774.\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-3 + (sqrt(475) + 3 + 2 - sqrt(475)) + sqrt(475) + -1 + sqrt(475) + sqrt(475) + -1 + (sqrt(475) + 1)*-1)*6)**2.\nAnswer: -960*sqrt(19) + 68464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*p - 52 - 43 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -26\/3. What is the smallest value in 5, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*n - 2*a - 32 = -169*n, -3*n + 22 = -4*a for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 357473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25287 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + x + 6. Let q be w(8). Let m be (-60)\/q*15\/42. Which is the closest to 2\/5? (a) 2 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-32 + (2 - -10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37222.\nAnswer: 2, 37, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, w: 8, l: 2, t: 1, e: 3, r: 4}. Give prob of sequence trzz.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2\/((60\/4)\/(-15)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113 a factor of 753267270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12102*r + 2574 = 11904*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-49)*2\/24*-21)\/(7\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 73214*u - 146436. Give d(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) + -3*28\/(-24). Suppose 0 = -5*w - a + 4*a + 603, -3*w = c*a - 357. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (6 - (16 - (-3 - -11)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/6 + 14*f\/3 - 10 = 0.\nAnswer: -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5897 + 5240 = 73*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 516 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/(0 + 4) - -4) + 15. Let m be -6 + (88\/r)\/1. What is the nearest to m in 7\/3, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11586060*c**2 + 3627*c + 1483 wrt c.\nAnswer: 23172120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - -6. Suppose x = -5*n - 3*x + 30, -5*n - 2*x = -a. Let i = n + 1. What is the greatest common divisor of 49 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (-32 + 37 + -8).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 18. Suppose 30 = 6*t - t. Suppose 16 = z + t. Calculate the smallest common multiple of z and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59129\/17886 + 10\/813. What is the common denominator of 2\/((-256)\/30)*-20 and s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, -624\/5 in decreasing order.\nAnswer: 5, 0.1, -624\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 8*n**2 - 2*n - 16. Let f be t(-8). Suppose 5*u + 335 - 1435 = f. Differentiate -43 + 33*g**4 - u*g**2 + 108*g**2 + 112*g**2 wrt g.\nAnswer: 132*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (0 - -7 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 12*z**2 + 4*z - 12. List the prime factors of u(10).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971583 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(2\/31)*(i**(3\/14)*i*i)\/i*i)**(-16\/7) assuming i is positive.\nAnswer: i**(-14856\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9277.59 to the nearest one hundred.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z)\/z)**(-3\/2)\/(z**(1\/5)*(z*z**(1\/9))\/z) assuming z is positive.\nAnswer: z**(-163\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 0.3, -527?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -71.93 times -0.4\nAnswer: 28.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/21 (b) 100 (c) 500 (d) 1\/5 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 275726451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -496*p - 9091. What is w(-19)?\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6778 is divided by 673?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b. Let q(p) = 111*p**2 - 6*p + 18. Let y(v) = v - 3. Let g(m) = -q(m) - 6*y(m). What is g(s(a))?\nAnswer: -999*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejoaoaaaeeo. Give prob of picking 2 o and 1 a.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 74*h**2 + 1407*h + 4590. Determine g(-45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89401 is divided by 1556?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + 9.53. Round v to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*v = 1305 - 1297, n - 2*v + 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56256 - 0?\nAnswer: -56256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2769*v + 163692 + 55059 = 0 for v.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -161*(-428)\/5340370*(-5)\/(-2)*-1?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6.03 (b) 0.4 (c) -1\/529\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12987 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53218*d**5 - 19196*d?\nAnswer: -1064360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 - 11 - r**2 - 2*r - 9*r. Let a be 2\/4*8\/12*-12. Let x = -15 - a. Let g(k) = -k**2 + 2*k + 2. Calculate x*g(v) - 2*b(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100210 + 2?\nAnswer: -100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 8*w**6\/15 + 7*w**5\/5 - 2*w**4 - 14*w**3\/3 + 4*w**2 + 4*w. Solve d(k) = 0.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 41 and -0.1633.\nAnswer: 40.8367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12140 divided by -5.\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-37)\/(-3) + 2\/(-6). Suppose -3*p = -0*p + 18. Let l be (p\/(-8))\/((-1)\/t). Sort -3, l, -1 in ascending order.\nAnswer: l, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*k - 75, l = -4*k + k + 53. What is the least common multiple of 112 and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - w**2 - w + 7. Let t(i) = i**2 - 8*i + 6. Let h be t(8). Is s(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 - 2*h**2 - 2*h**2 - h**2 + 5*h**2 + (-5*h - 22 + 22)*(-2*h + 9*h - 3*h))*(8 - 7*h - 8).\nAnswer: 140*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -3)\/((32\/(-1452))\/4). Let k = u + -529. Let f = 242 + k. 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: Subtract 212364905 from 1.\nAnswer: -212364904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**3\/6 - 10*w**2 - 2857*w\/6 - 1334 = 0.\nAnswer: -29, -3, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (((-1308)\/(-18))\/(-1))\/(((-8)\/9)\/8) and 9.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 103290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2535\/(-60) + 2\/8*1. Let j be o\/(-231) + (-62)\/(-22). Suppose -3*n + 0*t - 47394 = -3*t, 0 = -n - j*t - 15806. Round n to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*l*y**2 + 25*k**2*l + 648*k**2*y**2 + 2*k*l*y**2 + 2*k*l*y + 2*k*y**2 - 2*l*y - l - 21410*y wrt k?\nAnswer: -2*l*y**2 + 50*l + 1296*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x + 48 = -69. Let w be (8 - -1) + -1 + 0 + -4. Solve 18 = 2*o + 5*f, -x*o + 6*f = 2*f - w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9452422 is divided by 575.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849562 is divided by 3511?\nAnswer: 3411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 688.8947 weeks?\nAnswer: 416643514560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1. Let v(p) = p - 6. Let z(r) = -6*i(r) + v(r). Let t(f) = -2*f. Suppose 2*j = -8 + 2. Let d(b) = -3*b. Let l(u) = j*d(u) + 5*t(u). What is z(l(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 2*h**2 + 12*h + 58. What is b(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 76. Suppose 5*s - 49 = 2*z, z + 0*z + 42 = -s. What is f(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/152 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*z - 5, -5*z + 2*s + 5 = -20. Suppose 0 = 3*r - 9, 5*o = 4*r - 0*r + 68. Factor -5*p + 4 + 6*p - 6*p**2 + 15*p**z + 2 - o*p.\nAnswer: 3*(p - 1)*(p + 1)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101010112 (base 3) to base 13\nAnswer: 3491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 3*n**2 + 6*n + 4. Let m(l) = l**3 + 2*l**2 + 7*l + 3. Let k(a) = 3*m(a) - 4*u(a). What is the remainder when 27 is divided by k(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (298*6\/(-8))\/(3\/(-2)). Solve 4*j - 145 = -k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*1)\/((-210)\/(-49) + -4). Suppose -12 = 3*x - 6*x. Solve -3*u = -j*u - x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*1161.\nAnswer: 65016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7139, -7059, -6985, -6917?\nAnswer: -6855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 30 = -3*a, -1609*a + 1604*a + 8*w - 93 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 21\/15 - 26\/(-10). Let l be 2\/(-11) + (-35)\/(-11) + y. Suppose -4*d + 1628 + 4316 = 4*k, -d = -l. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228a7 (base 12) in base 14?\nAnswer: -12ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(-3)\/24 + 2. Let q(a) = 4*a - 2. Let v(x) = 2*x - 3 + 3*x + 1. Let m(k) = c*v(k) - 4*q(k). Give m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.367734 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/14*21)\/(174\/(-580)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, 1, -2, -1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5148.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from brrambhrraahramrbxrb.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4420 and 11886485?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 77162.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n - n - 8 - n + 0*n. Let s be k(9). What is the units digit of s\/((-1)\/1)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c4 + -5?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2348)\/(-5) + 1 + 18\/(-30). Let b = 489 - k. Let w be (-4 + 2)*19\/(-2). Are b and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -334525.\nAnswer: 13381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*g - 2)*(2*g + 0*g + 0*g) - 27*g**2 - 29922*g + 25*g**2 + 30446*g to the form r*g + i + s*g**2 and give r.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/8, -5, -326, 26?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, i: 4, d: 1, r: 2, a: 1}. Give prob of picking 1 a, 1 d, and 1 i.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -28\/15 (b) 4 (c) -2\/23 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13034 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x - 2 + 29*x**3 - 2*x**3 - 26*x**3 to p*x**3 + i*x**2 + d*x + w and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 2.1 (c) -2 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2.6. Suppose 7*d = 2*d + 4*d. Suppose d = -5*v + 6 - 1. What is the closest to v in -3, x, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaal when four letters picked without replacement from {l: 7, a: 3, b: 8}?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/5 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 393, 395, 393, 387, 377, 363?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -40) + 26 - -55 - -26?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.8 + 124.\nAnswer: 129.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2906, -5792, -8676, -11558, -14438, -17316, -20192?\nAnswer: -23066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x + 8. Suppose -b + x*t + 6 = 0, 3*t - 4 = -4*b - 13. Sort 5, -5, b.\nAnswer: -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9115 + 30404. Suppose -50711 - n = 4*j. Round j to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125*(-1377)\/(-2550)*(-2)\/(-25))\/(-1).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**4\/8 + 7*c**3\/6 - c**2. Suppose -n - m = 2*n + 18, -2*n - 3*m = 12. Calculate the remainder when k(n) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 16, 0 = -2*y + 4*y - p - 8. Suppose -y*r - 6 = 3*f - 4*f, 5*r = -4*f - 15. Solve 4 + f = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1728, -29 in decreasing order.\nAnswer: 1728, 4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4869 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*n**3*s**2 - 359930*n**2*s**3 - 74*n*s - 58130*s**3 wrt n?\nAnswer: 102*n*s**2 - 719860*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -10. Let c(a) = -3*a + 91. Let n(s) = -c(s) - 5*h(s). Let k(z) = -z**2. What is k(n(i))?\nAnswer: -9*i**2 + 246*i - 1681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.22 and -9.79.\nAnswer: -11.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*g - 7*g + 10*g)*(2 + g - 2) + (-5 - 2 + 0)*(0 + 0 - 2*g**2) to z + l*g**2 + s*g and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -530.77 and 565377.\nAnswer: 564846.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2555*u - 20517. What is s(-8)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25686 divided by 80?\nAnswer: 12843\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*a - a + 8, 10 = -a - 3*h. Sort a, 0, -2 in ascending order.\nAnswer: a, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 936 and 479160.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(720) + -2 + sqrt(720) + 5 - (1 + sqrt(720) + sqrt(720) + 3))**2*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101001 - -1001000100010000011110?\nAnswer: 1001000100001110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*f - 9, -f + 3*h - 13 = -4. Suppose -4*m - 256 = -5*y, 5*m + 68 = y - f*y. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -198, 1, 11, 412?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -65\/134 bigger than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*u + 8*h - 110, 11 = u + 3*h. Let c = 58 - -20. Calculate the greatest common divisor of c and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24457267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Suppose 0*c + y*c = 0. Solve k + 0 + 4 = c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 1 + 0 - 11 - 4 to g*r + m and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -3\/2*z**2 + 2 + 5\/6*z**3 + 2*z. Let v(o) be the first derivative of t(o). What is v(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/20)\/((-80)\/(-150)*(-3)\/12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -78\/73?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -4\/61, -30\/11, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-199)\/(-2) - 5\/(-10) and (1 - 0) + -5 + (8 - -36).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 5*n + 2. Let v be b(-5). Suppose 3*f + 363 = v*h, -1 + 3 = 2*f. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4210965 by -1551.\nAnswer: -2715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 6232*g + 6234*g + 1, 3*a + 2*g = -15 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 2*s - 8. What is the remainder when l(-6) is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186262857.\nAnswer: 3, 11, 313, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 9*w + 53. Let n be o(13). Let z = -41 + n. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iddddddddi. What is prob of sequence diid?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 532241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -47, -100, -175, -272?\n\"Answer: -11*i**2 + 2*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m + 168 = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*m**2 + 19*m**3 + 1\/2*m**4 + 6655\/2 + 1573*m = 0. What is m?\nAnswer: -11, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67914, -127123, -186332, -245541?\nAnswer: -304750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -145 - -141. Let n(h) = h**3 + 4*h**2 + 4*h + 2. Calculate n(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 85856 - -4?\nAnswer: 8585a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**2 + 67*d - 39. Give l(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.64 + -2.61. Which is the second biggest value? (a) 1 (b) w (c) 6 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 25, -8*c + 10*c + 9 = u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 450.4 - 20.4. Let o = -406 + y. What is the biggest value in 0, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 8*c - 5. Let z be k(-3). Let t be (-20)\/8*z\/(-5). Solve -4*w = -4*v + 28, 4*v + 1 = t*w + 32 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*(-63)\/405*(-27)\/(-189).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101722?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l + 9. Let q(a) = 3*a + 3. Let c(m) = -11*q(m) + 4*y(m). Let j be c(4). What is the units digit of (j\/4)\/(1\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = 3. Suppose s*x = 2559 + 563. List the prime factors of x\/(-7)*(-1)\/1.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-4415*1 - -3). Suppose 6*a + 483 = b. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i = 0. Suppose 3*w + i*s = 3*s - 75, s + 101 = -5*w. Let x = w + 38. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197312379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**2 - 14280*p - 141461824 = 0.\nAnswer: -4424, 7994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 163.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/336158500 and -29\/10?\nAnswer: 336158500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112030300 + -1113000?\nAnswer: 110311300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(91)\/(sqrt(7) - sqrt(7)*3) - -4*-2*sqrt(13) - 5*sqrt(91)\/((sqrt(700) - (sqrt(700) + -2*sqrt(700) + sqrt(700))) + sqrt(7) - sqrt(7))))**2.\nAnswer: 72*sqrt(13) + 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/1703506 and 191\/390.\nAnswer: 332183670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 4*g - 2*u, -g - 2*u + 75 + 9 = 0. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 93*l + 26047. Calculate v(-271).\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**4 - 25*h**4 + 11*h**4 + 80*h**2 + 1 - h**4 - 2*h**3 to the form i + q*h**3 + m*h**4 + c*h**2 + s*h and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 54*w**2 + 67*w + 398. Give s(-53).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7706\/5 - -1547. Find the common denominator of v and -29\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + (-2*sqrt(198))\/(sqrt(66)\/(sqrt(48)\/sqrt(8))))**2.\nAnswer: 24*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, and 1 i when three letters picked without replacement from {b: 2, u: 3, m: 1, r: 1, j: 1, i: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -1. Suppose -t*n = -2 - 3. Let z(q) = q**3 + 9*q**2 + 9*q + 12. Let x be z(-8). Solve -b = n - x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 35. Calculate the remainder when z is divided by (2\/(-1))\/((-4)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*j**2 + 17 - 17 in the form o*j**2 + w + s*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 l, and 1 a when three letters picked without replacement from {f: 1, l: 1, a: 17}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 6 + 15 - 17 = -2*y, 12 = 3*y - 12*t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17197859 and 851.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 3*b**2 - 1\/3*b**3 - 1\/2*b**4 - 12*b + 1\/10*b**5 + 8. Let a(r) be the first derivative of y(r). Factor a(z).\nAnswer: 2*(z - 3)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2800, -2789, -2764, -2719, -2648, -2545, -2404?\nAnswer: -2219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, 3652, -4 in ascending order.\nAnswer: -86, -4, 3652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43364\/11 + 3942. Which is the closest to v? (a) 5 (b) -6 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131452 divided by -6?\nAnswer: 65726\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**3 + j**2 - j - 1. Calculate the remainder when (-1463)\/(-33) + -3 - (-4)\/(-3) is divided by p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 2654.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {b: 2, x: 3, a: 2, g: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0352343ml to litres.\nAnswer: 0.0000352343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 8*t**2 + 2*t - 11. Give p(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40275 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2419*s + 2*s**2 + 2419*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 14?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 8. Suppose -2*v = t - 8 - 27, 0 = v + c*t - 30. Suppose v = 3*q - 6. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318, -292, -266, -240?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4497 = 334*v - 1454 - 2065. Let k be (-4)\/(-2) - (-12 - 2). What is the highest common divisor of v and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/50)\/(5\/25). What is the biggest value in 1, -4, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 8:58 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-5 + 6 + (7 - (17 + -7))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 13*z - 12. Let g be t(-12). Suppose 2*r = -0*r + 6. Solve g = -l + 4*a - 13, r*l - 6*a = -2*a - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124115 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*8\/(-80)*0)\/(4\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**4 - l**3 - l**2 + l + 4. Let c(j) = -j**3 + j**2 + j - 1. Let i(t) = -6*c(t) - 2*w(t). Factor i(o).\nAnswer: 2*(o - 1)*(o + 1)**2*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 25268082.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 10) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 32 = -40. Suppose -96 - 224 = -x*a. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -119*q**2 + 11*q - 11. Let d(h) = -59*h**2 + 6*h - 6. What is 11*d(t) - 6*z(t)?\nAnswer: 65*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5131 and 140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 - -1.088. Let a = n - -1.082. What is a rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/22 - -6\/11. What is the third biggest value in 1\/5, y, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*u - 311*u = -103*u - 928 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:14 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0 = 15. Let n(f) be the third derivative of 1\/15*f**a + 2*f**2 + 0 - 1\/2*f**3 - 1\/120*f**6 - 1\/24*f**4 + 0*f. Calculate n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*p - 45241 + 45176 = 0, o - 5*p = -45 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/24*2*(-8)\/(-1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4)*16\/6. What is the nearest to -2 in -2\/3, j, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 15 = -0*a. Let x(t) = -t**3 + 4*t**2 + 2*t + 30. Let u be x(6). Let p be u\/(-9)*(-30)\/(-25). Sort a, 0, 5, p in decreasing order.\nAnswer: 5, p, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.23, 171 in descending order.\nAnswer: 171, 1\/4, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*z = -15, -2*j = 2*j - 3*z + 15. Calculate the common denominator of -81\/4 and (-1 + j - -1) + (-2 - -48).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5 + 14*d**4 + 160*d**3 + 464*d**2 + 544*d + 224 = 0.\nAnswer: -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z - 664 - 304. Let u = 93 + z. Suppose -y + 20 = y. Solve -5*m - y - u = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/30)\/(-4)*(-36)\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (101 - 9) + 10 + -26\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 - 6 + 14*y - y**3 - 16*y + 9*y**3 + 5 + y**4 in the form j*y**2 + x*y**3 + c*y**4 + w*y + m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 55081 (b) 1 (c) 3 (d) -0.08 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z**3 - 77*z**3 + 76*z**3.\nAnswer: -55*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from ppvuvupvvpvpvup.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -530.0289 - -530. Round z to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 14.8. Sort y, -3\/4, 0.5 in decreasing order.\nAnswer: 0.5, y, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3978 divided by -663.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5388718*p + 7885370 wrt p?\nAnswer: -5388718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x**3 + 20*x**2 + 14*x - 2. Let g(r) = r**3 - r**2 - r + 1. Let p be 1\/3 - (-2)\/3. Let b(f) = p*d(f) - 6*g(f). Factor b(n).\nAnswer: (n + 2)**2*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417020880 divided by -6?\nAnswer: 69503480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -2*u**7\/21 - 2*u**6\/15 + 3*u**5\/5 + 5*u**4\/3 + 4*u**3\/3 - u. Find r, given that s(r) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 6800.\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 9*a. Let q be (110\/77)\/(186\/14). Let p = 3\/124 - q. Which is smaller: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 10) in base 13?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4 - 2*d + 4 + 2. Let x(b) = 5*b - 5. Let l(w) = -7*i(w) - 3*x(w). Let u(k) be the first derivative of 3*k**2 - 7*k - 3. Determine -14*l(p) - 2*u(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1 + 280\/154.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*w = -3*x - 23, 3*x = w - 19. Suppose 3*t - w*t + 720000 = 0. What is t rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (207*h - 2 - 1 - 227*h - h**3)*(-3*h - 3 + 3) - h**4 + 4*h - 4*h.\nAnswer: 2*h**4 + 60*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26352738 and 2864?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*d = -4*d - 11, 2*m + 10 = 4*d. Suppose m*l = 4*l. Let x = 11 - 10. Which is the closest to x? (a) -5 (b) l (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 5. Let x(t) = t**2 + 2. Let a(d) = -4*s(d) + 11*x(d). Let c(k) = 16*k**2 + 11. Calculate -11*a(n) + 2*c(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1668 is divided by 182?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(100) - ((sqrt(99) - sqrt(11))*6)**2.\nAnswer: -1584 + sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 26. What is the common denominator of -67\/45 and (p\/780)\/((-8)\/10)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cckkk. Give prob of sequence ckkk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.076 + -41.7. Let u = 0.124 + x. What is the second biggest value in u, 1\/10, 2\/9?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/66)\/((-1)\/11).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1520*s**3 + 3*s**2 - 3*s**2 + 1518*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + -4 - -14) + -17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2331300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*i + j + 6, -4*i = -2*j - 16. Solve 6*o - 15 = i*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 + 3*z**2 + 10*z - 22. What is the remainder when t(2) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4744 = 4*s, -2*c - 3*s = -0*c + 2392. Let r = -235 - c. Suppose 2*q + 5*n = 4*n + r, -3*n = 4*q - 1907. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**2\/2 - j + 3. Let a be q(-5). What is the tens digit of 3 - a*9\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:15 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 626723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9.068806 and -0.01122.\nAnswer: 9.057586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -51820409, -3, 0 in descending order.\nAnswer: 3, 0, -3, -51820409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53547553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 = -t. Suppose -4*x + t = -2*x. Suppose -x*h + h = -18. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 19*t - 37. Let g be v(-18). Let k = g - -32. Calculate the greatest common factor of k and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000120 (base 3) to base 9.\nAnswer: -2016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.03547 rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 589608 and 163780?\nAnswer: 2948040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*m**2\/6 + 149540*m\/3 + 5247\/2.\nAnswer: (m + 15741)*(19*m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g - 3*g + 0*g. Let b(j) = 4*j + 7. Let a(v) be the second derivative of -v**3\/6 - v**2 - 3*v. Let k(o) = -7*a(o) - 2*b(o). Calculate c(k(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-2 - (20 - 17) - -14)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3828 by 3828.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 3*h + 4*h - 2*h + 4*h + 0*h + (-2 + 1 + 2)*(-3*h + h + h) - 11*h + 21*h + 8*h)*(-4 - 8 + 0)*(43*h + 48 - 48).\nAnswer: -10836*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1893\/7? (a) -3 (b) -0.3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-255 + 0)*12\/(-30) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 0.4, 2\/9, -4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-1)\/(-2)*-2. Let c be -4 + 4 - (-12 - -8). What is the derivative of c - 10*m**2 - i + m**2 wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*r = 12, 64*o - 66*o + 24 = 4*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 21*v + 2279. What is the thousands digit of k(-79)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 995384, 1990621, 2985868, 3981131, 4976416, 5971729, 6967076, 7962463?\nAnswer: 8957896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -25*n. Let f = -993 - -995. Let u(r) = 5*r. Determine f*y(k) + 11*u(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -12*c + 1. Let l(y) = y. Give 44*l(n) + 4*q(n).\nAnswer: -4*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 divided by -4677?\nAnswer: -346\/4677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -335, 23, -185, -3, -5 in increasing order.\nAnswer: -335, -185, -5, -3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 3*p**2 - 4*p. Is 24 a factor of a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 884, 328, -226, -778, -1328?\n\"Answer: i**2 - 559*i + 1442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -612, 1, 5, 6, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9894 and -0.243.\nAnswer: -2404.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -16 - (95 + 23 + (-14 - 23))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -350 - -272. Let b = o + 155. What are the prime factors of b?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*y + 2433 = 43*y - 1410 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.84871 centimeters in millimeters?\nAnswer: 648.4871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001011110101110 + 10?\nAnswer: -1110001011110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 less than -2886?\nAnswer: -2849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 - r**5 - r**5 + (29*r**2 - 73*r**2 + 21*r**2)*(4*r**3 + 3*r**3 - 5*r**3) + (0*r + r + 0*r)*(-4*r**4 + 0*r**4 + 2*r**4).\nAnswer: -51*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-27)\/(-45)*6995\/3 is divided by 59?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1631346\/(-9)*9\/120. Let g = t + 27177\/2. Calculate the common denominator of g and 47\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**5\/20 + 5*i**4\/12 + i**3 + i**2 + i - 129. What is t(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 4. Let f(g) = -1. Let j(x) = a(x) - 3*f(x). Let w be j(-1). Let o(v) be the third derivative of -v**5\/60 - v**3\/2 + 2*v**2. Give o(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206704826 to the power of 1\/2, to the nearest integer?\nAnswer: 14377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 2, y: 1, z: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 14) to base 8.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 9*z**2 - 8*z + 3. Determine a(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.98475 rounded to one dp?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*m + 1. What is the smallest value in 5, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -41 - 7)*(-2)\/(-6). Let y(v) = -v**2 + 24*v - 29. Let z be y(j). Suppose 0 = -2*w + z + 259. List the prime factors of w.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-40))\/(17\/170).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 205*a**2 - a. Let g = 6 + -5. Let s be n(g). Let r = s + -136. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a - 13. Calculate v(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -4 (c) -110385\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12629105 is divided by 791?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 106.989 and 0.15.\nAnswer: 16.04835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (129\/6 + 5 + -10)*-2. Which is smaller: 3\/8 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -824, -1960, -3096, -4232, -5368?\nAnswer: -6504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - -1) + -4 - -12. Suppose 26 = -7*h + 4*h - 5*d, 3*d = -h - 14. Let z be h + 2 + 0 + 117. Calculate the highest common divisor of k and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 2. Let z be k(0). Let r be (-55)\/(-10) + 1\/z. What are the prime factors of 9\/15 - (-42)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 957 a factor of 360877818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.44 and 500?\nAnswer: 12220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4099902 is divided by 464.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -41. Suppose 3*r - 6 = 5*j, -j + u = 5*r - 9. Suppose 2*a - 10 = 0, 3*t = 2*a + r*a - 14. Solve -3 = -p + t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.059 (b) 5 (c) -232\/9 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295\/(-531)*(-72)\/15?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3 and ((-12)\/90)\/(72\/(-220)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 17507 = 4*i - 81998, -5*i = 2*z - 128976. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363.8778mg to kilograms.\nAnswer: 0.0003638778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98465\/(-4190))\/((-5)\/(-4)) + 1\/(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0 + 44\/5*w**4 + 1408\/5*w**2 + 2\/15*w**5 + 2048\/15*w + 2306\/15*w**3 = 0.\nAnswer: -32, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20555225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a - 69 = 0. Suppose 10 = z + 5*x, -1 = -4*z - 4*x + a. Solve 0*v = f - 4*v + 4, -z*v = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001643737831 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82\/40 - 262\/(-1310)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42, 56, 94, 168, 290?\n\"Answer: 2*x**3 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 34*x - 1638. Calculate j(50).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 15*m + 17. Let n be w(-14). Suppose -n*j + 425 = 419. Let x(q) = 5*q**3 + 2*q**2 - q + 1. Calculate x(j).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**7\/c)\/c))\/(c\/c**(-4))*(c**(2\/5))**(10\/11) assuming c is positive.\nAnswer: c**(-106\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r - 300 = -29*r. Suppose -20*m + r = -15*m. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 18021*k**2\/4 + 4507*k + 27033.\nAnswer: -(k - 3)*(k + 2)*(k + 18022)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -3. Suppose -2*g = -0 - 10. Let o(p) = 4*p**2 - 2*p - 2. Let f(n) = 9*n**2 - 5*n - 5. Let m(u) = g*o(u) + l*f(u). Let a(t) = 2*t. Give a(m(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -21*o. Let l(i) = -10*i. Let s(n) = 13*l(n) - 6*z(n). Let h(t) = -t**3 + 7*t**2 - 8*t + 7. Let r be h(6). Is s(r) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -723921 - -723861.2506. Let w = a + 59.8. Let r = w + -0.05. What is r rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 + -0.38. Let n = b + -1. Round n to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-72)\/(-40))\/((-9)\/(-465)). Let w be (1 + (1 - 1))*162. Let m = w - v. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 276 + 1074 - 289 - 206 - 210.\nAnswer: -f + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-490)*15*7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3660559?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42, -736, -1516, -2298, -3082?\n\"Answer: -s**2 - 775*s + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -150\/11 - -1328\/99. Let u(z) = 7*z + 1 + 10*z**3 + 4*z**2 - 5*z**2 + 0 - 11*z**3. Let s be u(-3). What is the second smallest value in a, 3\/8, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (212 - 212 + 48*q)*(-4*q - 2*q + 4*q) as m*q + l*q**2 + t and give l.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 3*b**2 - 2*b - 3. Let r be v(-3). Suppose 5*w - r*h - 94 = 0, w - 91 = -4*w + 2*h. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 768, 825, 188, -1131, -3120, -5767?\nAnswer: -9060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 8*q**3 + 94 - 29*q**3.\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-42))\/(46\/(-276)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l. Let h be d(-5). Let k be 1\/3 - 10\/h. Let t = -3.9 - 0.1. Which is the nearest to k? (a) t (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 4*s - s + 0 - 3*s + 0 - 3 + s + 3 - 3 + 3 + 2*s + (4 - 2 - 4)*(-2*s + s + 0*s) - 2 + 2 + s as p*s + h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1048383481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-8)*((-3)\/(-2))\/(-3). Suppose c + 0*j = 3*j, 2*c - 4*j = w. Suppose 2*t = -5*f - 9, -3*f + 0 = -3*t - c. Put t, 2, 4 in decreasing order.\nAnswer: 4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q = 3*o - 3652, -6092 = -5*o - q. Suppose 3*y + 339 - o = 0. Suppose -2*s - 5*g + 9 = -170, -y = -4*s + 3*g. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*v + 4 - 24*v + 35*v.\nAnswer: 71*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*n = -14, 5*n - 10 = -3*m + 6*n. Suppose -3*p + p + m*d = -1064, 4*d = -3*p + 1568. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1631221 + 15?\nAnswer: -1631203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -63, 5 in descending order.\nAnswer: 5, 3, 0, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, o: 13}. What is prob of sequence xxo?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**3\/3 + 7326*z**2 + 1163573*z - 3512698\/3 = 0.\nAnswer: -21818, -161, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2 + 78190*i + 22275792 = 0. What is i?\nAnswer: -38808, -287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 3, f: 11}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85489829 and 13129.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/154*(-4)\/16*-14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16046 (base 9) to base 5.\nAnswer: -322402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690989 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 0.4 (b) 0.049 (c) -1\/4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10572 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7057*y**2 + 43*y + 6. Is b(-1) a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (23 - 2) + (0 - 2) + -1. Let i(w) = -w**2 + 18*w + 9. Let t be i(18). Calculate the greatest common factor of t and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggdd when four letters picked without replacement from dttttgdddg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.79428.\nAnswer: 3.9714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -71180 to the nearest one thousand.\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + j = 4, -3*o + 33 = -5*j - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:22 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129.43 - -129. Let i = -44279 - -44278.5699875. Let m = i - w. What is m rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3 + 45*v**2 - 141*v - 189 = 0. What is v?\nAnswer: -1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 1224641212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0489432 + -0.0489. Round y to six decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160691491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 0*d - 3*d)*(2*d**4 + 0*d**2 + 0*d**2) - 3*d**3 + 3*d**3 + d**5 + 57*d**5 - 14*d**5 - 3*d**5.\nAnswer: 45*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174 - 293. Let w = -59 - j. Let p = -60 + w. Which is the nearest to 0.2? (a) -3 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17*0.114066\nAnswer: 1.939122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(46*(-28)\/(-322))*42?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1137507, -1137511, -1137515, -1137519, -1137523?\nAnswer: -1137527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020221 - 211?\nAnswer: 1020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128.18999542 + 0.18985142. Let b = 128 + z. Round b to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/27*((-2)\/(-18) + 4240\/477). Let q = 2266 - 13565\/6. Which is greater: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17295, 60749, 133171, 234561, 364919, 524245?\nAnswer: 712539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (301 + -269 - (-2 + (0 - 1))) + 8\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 510 = 16*t. Suppose -f + 4*f - 4*h = -t, -3*f - 102 = -h. Let a be 98\/f + -2 + 5. Is a != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2323 - -258. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**2 + 132*j**3 + 4317*j + 25*j**3 - 5524*j wrt j?\nAnswer: 942*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.7 in -1\/3, 4\/3, 0, 1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 62*i**3 - i**2 - i + 1. Let r = 22 + -21. Is u(r) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -791\/30 - -53\/2. Let b = s + -8\/15. Which is smaller: b or -1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11368 (base 10) in base 3?\nAnswer: -120121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 197, 278, 347, 398, 425, 422, 383?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13050978*z + 14368227?\nAnswer: -13050978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*x**4 + 18*h*x**3 - h*x + 5*x**4 - x - 3 wrt x?\nAnswer: 12*h*x**2 + 108*h*x + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 34333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*19\/(-5928)*-32?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**1*o))**(-9\/4))**36 assuming o is positive.\nAnswer: o**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*j + 1672 - 3207 + 851 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -10 (b) 2\/5 (c) -8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.10243 + 0.02757. Suppose k + 2 = -k. What is the nearest to k in 0, 2, m, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u - 133 = 33*u + 221 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 121032 divided by -1\nAnswer: -121032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17\/4 (b) -79\/44 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-11))*f)\/f*f**(-4\/11))**(26\/3) assuming f is positive.\nAnswer: f**(1014\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375 = -31*p - 654 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 20. Is (42\/2)\/(d - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3 - 4 + 2 + s. Let y be j(3). Let i = 0 + 0. Sort i, -3, y.\nAnswer: -3, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5675 rounded to 2 decimal places?\nAnswer: -7.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621501218?\nAnswer: 2, 13, 1838761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -53855\/9 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143176675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2806 - 8846\/3. Let y = 143 + s. Factor -y + 1\/3*b**2 + 0*b.\nAnswer: (b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 2142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2930 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1897 (base 10) to base 13\nAnswer: -b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98346030?\nAnswer: 2, 3, 5, 61, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112289, -112287, -112285?\nAnswer: -112283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 999 divide 19711269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 10*z - 5. Let t be q(-9). Let h(b) = b**2 - 5*b + 6. Let y be h(t). Let s(i) = -3 + 2*i**3 + 2*i + 2*i**2 + 10 - 8 + y*i**2. Give s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -169, -2 in decreasing order.\nAnswer: 7, 4, -2, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84 - 121 - 45*i**2 + 46*i**2 to o*i**2 + c*i + d and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1) - 2 - (-13 - 13). What is the highest common divisor of 117 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 44*w - 6. Let x(h) = 44*h - 5. Let a(o) = 6*g(o) - 7*x(o). Is a(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.3288 - 0.8012. Let m = p - -28.2. Let r = -7 - m. What is r rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105832941 and 1401?\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 - -1.2. Let k be ((-13)\/(-130))\/(15\/(-75)). Which is the nearest to r? (a) k (b) -0.1 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*z = -138*z - 559624. Does 78 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124105559.\nAnswer: 17, 429431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2. Let z(y) be the second derivative of y**7\/1260 - y**4\/3 - y. Let q(f) be the third derivative of z(f). Give q(j(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2144800 and 4718560?\nAnswer: 23592800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-221 + 225 - (-8 + -1)) + -15 + 6 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55*(-7)\/(-42)*(-234)\/(-65)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1747 divided by 9.\nAnswer: 1747\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5826 * -0.2\nAnswer: -1165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5.16089, -1\/6, 1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 11 + 3*z - 9)*(-399*z + 194*z + 1306*z).\nAnswer: 3303*z**2 - 7707*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2338, 4671, 6978, 9247, 11466?\nAnswer: 13623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o**2 + 11*o + 51. Let v be y(0). Sort 2, v, 6.\nAnswer: 2, 6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 3 = 13*o. Solve -5*b = -o*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2798*n**3 + 6*n + 3*n - 9*n.\nAnswer: 2798*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1721*t**2 + 47*t**4 - 1721*t**2)*(-6 - 4 + 2).\nAnswer: -376*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Let x be (-3)\/(8\/32*-6). Solve r = 3*r + 4*d + x, -30 = -u*r + 5*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8017377.\nAnswer: 3, 137, 19507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87\/56 + 4889\/840. What is the common denominator of -3 - (-973)\/462 - 6\/(-4) and q?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + p + 5 = 0, 147*j - 152*j + 12*p + 7 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*y = -87*y - 29664. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2628 + 14*x + 2630 + 600*x**2 - 538*x**2 as w + n*x + m*x**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/9)*f*f)\/(f**(1\/9)\/f))\/(f\/f**(2\/43)*f*f**22) assuming f is positive.\nAnswer: f**(-7679\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let q be d(-7). Suppose -11*s = -q*s - 8. Calculate the greatest common factor of s and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*u - 997. Is (1\/2)\/(3\/6) + u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81 in -44, 2\/7, -0.3, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.127384 less than -1896362?\nAnswer: -1896361.872616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -195 + -15. What is the common denominator of (-3)\/(-12) - (-1)\/2 and f\/(-16)*1 - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -b - 15, 0 = -6*y + 7*y + 3*b - 11. Suppose -y*i + 5 = -11. Let g(j) = 2*j**3 - 2*j**2. Calculate g(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94\/7 of a week in days?\nAnswer: 94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 3*g**2 - 47*g - 135. Let a be j(-3). Let z(r) be the third derivative of -r**3\/6 - r**2. Let f(o) = 2*o**2 - 3. Calculate a*z(d) - f(d).\nAnswer: -2*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, -17, -24, -31?\n\"Answer: -7*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 7:35 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195)\/(-13))\/(4*9010\/(-272)).\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*t - 92 - 3558 = 0 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.03 to 0 dps.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -4 (c) -38 (d) -1\/2 (e) -100.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.1 - -9. Sort 0.1, -3, d.\nAnswer: -3, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-32))\/((-3)\/48*4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 466162 and 4279520.\nAnswer: 261050720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3641667 and 14566668.\nAnswer: 14566668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - r + 0*r = 7, n + 4*r = -8. Suppose 2*y - 8 = -5*l + 34, -4 = -n*y. Suppose 5*k = k + 16. Solve 7*j + l = 3*j - 3*o, k*j = -o - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 11*l**2 - 9. Let r be t(11). Let b = -7 - r. What is the third derivative of -j**b + 2*j**2 + j**5 + 0*j**2 wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -572, -585, -598, -611, -624?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 9*w**2 - 504 - 7*w**2 + 821 - 3*w in the form r*w + x + k*w**2 and give x.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*6*sqrt(2299)*2 + 2*(sqrt(2299) - (sqrt(2299) + -1))*-1)*-5)**2.\nAnswer: -660000*sqrt(19) + 827642500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/174 and -31\/132.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 211536 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4445 times 53.67\nAnswer: 238563.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**4*j + 104*h**3*j - 155*j wrt h.\nAnswer: -4*h**3*j + 312*h**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 4:29 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8450781.8 rounded to the nearest 100000?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4 + 6 - 5*k + 3 + 5 + 3. What is t(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -132*p + 35*p + 2457213 + 961358. List the prime factors of p.\nAnswer: 13, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 3\/13, -5760?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2959 - 2960. Let i be 4\/(-45)*2\/8. Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1012164*r**2\/5 - 2024337*r\/5 + 18\/5 = 0. What is r?\nAnswer: 3\/337388, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -401, -1\/4, -1\/2, 1?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u\/(u*u**(-1\/13)))\/u)\/u**(-2\/23)*u\/(u\/(u*u**(-6)))*u*u**(-11))**(1\/90) assuming u is positive.\nAnswer: u**(-1379\/8970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134223550 or -134223549?\nAnswer: -134223550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaqaaqaqaaqqqaaq. What is prob of picking 3 q?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 332428218 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 365059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22 + -10*(-3)\/(-6). Suppose -2*f = -8*a + 9*a + 1, 2*f - y = a. Let j = 8 - 5. Put a, 4, j in increasing order.\nAnswer: a, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 5279962?\nAnswer: 5279962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 45466.7 to the nearest 100.\nAnswer: 45500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 3)\/(-1) + 10. Solve -3*z + 20 = 2*q, -2*z + 4*q - 5*q + r = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -48 (b) 0.2 (c) 2\/7 (d) -77 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1 - (2 - 1)). Suppose -3*b + 61 = 4*x, x - b - y = 9. Let t = x - 13. Solve -n - 4*h - 3 = 0, t = -2*n - 2*n - h + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 29. Let k = 26 - j. Let n be k\/6 + 7\/(-42). Put n, 2, 4 in ascending order.\nAnswer: n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k = 8*k + 13794. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**3 + 8*b**2 - 4*b + 5. Let v be (2 - -7)\/(4 + -3). Suppose 3*o + 5*r + 41 = 0, 3*r + r = o - v. Let c be l(o). Round c to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 1:27 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 + w**2 + 0*w**2)*(2*w - 2*w + w**2) - 7*w**4 - 236 + 236 to the form g*w**2 + n*w**4 + u + f*w**3 + s*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 15 = 5. Let r be 6 - (-2)\/w*(-12)\/6. Solve s + r = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4*f, 3*f + 2*f - 50 = -5*v. Let j be -1*(v + -4)*-41. Let q = 104 - j. Calculate the greatest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0773+-4\nAnswer: -3.9227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -201556675 and 3.\nAnswer: -604670025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - i + 30 = 8*b, 0 = -5*b + 2*i + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 + 4*y**2 + 4*y**2 + (-4 + 4 - 2*y)*(9*y - 30 + 30).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -81841*o**3 + o - 1. Is m(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 - 7*q + 7. Let a(b) = b**2 - 2*b + 2. Suppose -10*u - 120 = -22*u. Suppose w - 3*r = u, 2*w - 10 = -0*r + r. Calculate w*s(f) - 14*a(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -446 in -161, 54, -2\/21?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 0*b + 2*b - 18 = 0, 0 = k + 2*b + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*m + o, -2 = 2*o - 8. Suppose 0 = m*k - 9*k - 114500000. What is k rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 57859*k - 694353. Calculate r(12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 17. Let c(q) = 3*q - 1. Let h be c(3). Suppose -t*j = -65 + h. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -10*x + 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/18 - 14\/567*18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47972, -95844, -143734, -191642, -239568, -287512, -335474?\nAnswer: -383454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568 + 21*g - 583 - 596 + 1744.\nAnswer: 21*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 3*w + 0*w + (-16 + 10*w + 16)*(3 - 2 + 1)*(-551 - 498 + 741) to p + g*w and give g.\nAnswer: -6159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + f - f - 186*f**3 + 405*f**3 + 253*f**3 + (0*f**3 + 3*f**3 - f**3)*(5 + 0 - 3) + 4*f**3 - 6*f**3 + 4*f**3.\nAnswer: 476*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/21 and 107\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/330)\/((396\/(-165))\/2))\/(3\/120)?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -j - 38*y + 43*y, -16 = -4*j + 71*y - 135*y + 68*y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/(9\/((-2160)\/(-224)))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/15 of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus -3500768?\nAnswer: 3500760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6*i + 6. Suppose -i = 2*r - 16. Suppose 5*c - r = 18. Calculate the remainder when 32 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3553 + 823?\nAnswer: -2a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 4*n - 209117 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2 + 5*s + 1187. Let y(j) = 3*j**2 - 2*j - 475. Let z(r) = -2*b(r) - 5*y(r). Let f be ((-1)\/(-3))\/(3\/(-9)). Calculate z(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 918 and 3237894.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 35*g**2 - 37*g + 93. Let r be d(34). Let m = -12 - -8. Sort m, -5, r.\nAnswer: r, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/18)\/(-7*(-12)\/(-3528)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202255855.\nAnswer: 5, 19, 283, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 130, 11\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 8859*m**2 - 2197293*m - 142591029.\nAnswer: -3*(m + 133)**2*(m + 2687)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 600, -182, -1378 in decreasing order.\nAnswer: 600, -182, -1378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -1055*w**3 - 12167*w**2 - 27844*w + 15776 = 0.\nAnswer: -8, -4, 493\/1055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83486 and 1690?\nAnswer: 417430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19767 and 2098896?\nAnswer: 23087856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-2\/37)\/(u**(-5)*u**(-3\/4))*u*u**(-2\/9)*u*u\/(u*(u**(2\/25)*u*u)\/u)*(u*u**(1\/2))\/u*u\/u**5 assuming u is positive.\nAnswer: u**(2653\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, z: 1, i: 1, q: 1, j: 2, b: 2}. What is prob of picking 1 v, 2 j, and 1 z?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -26360 less than or equal to -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 4:39 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13) - sqrt(13)) + 0 + -4.\nAnswer: -2*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) 1\/2 (c) -67 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.2. Let f = 751.4 - -647.3. Let y = -1399 + f. Which is the closest to y? (a) -0.3 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -2226?\nAnswer: -13\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 82*n**2 - 828*n - 5. Let k be y(18). Which is the closest to -3\/5? (a) 5 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1229 - 1229.3. Let a(u) = u + 3. Let h be a(-7). Let r be (6\/14)\/(6\/h). Put -4, z, r in descending order.\nAnswer: r, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r**2 + r - 4. Let y(u) be the first derivative of -4*u**3 + u**2\/2 - 5*u - 15485. Calculate -5*q(v) + 4*y(v).\nAnswer: 7*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + 18 + -46 + -14 + 20.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from xxnagxxxxxxgxcxxx?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 4, k: 8}. Give prob of sequence kk.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/22 and 13\/2438780?\nAnswer: 26826580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 37. Let p be r(0). Suppose -i - h + p = 3*i, 3*h - 39 = -3*i. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164003923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 6*f**2 + 3. Let j be u(6). Suppose -2*z = j*z, -2*h - 2 = -2*z. Let b be (-2 + 0)\/(0 + h). Solve -b*y - 4*l = 10, 0 = 3*y - 0*y + l + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 2*n**3 + 3 + 9 wrt n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 - 6*p**4 + 4*p**4 + (p**3 - 4 + 4)*(118*p - 475*p - 233*p).\nAnswer: -589*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1) + 2\/2. Suppose -b + 30 - 6 = x. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**7\/f)**(-16) assuming f is positive.\nAnswer: f**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -11 - -12 - (-10 + 1 + 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1140?\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-6)\/240)\/((-106)\/(-795))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (1 - 6 - -2)) + (-1 - -9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4048 by 1012.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 950.7666 years to millennia.\nAnswer: 0.9507666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*v - 3*c + 34, 0 = 3*v + c - 29. Let p(d) = 6*d + 4*d - d**3 + 1 - 12 + 7*d**2. What is the units digit of p(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2030153, -2030203, -2030251, -2030297, -2030341, -2030383?\nAnswer: -2030423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339913823?\nAnswer: 3, 446637941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -6d?\nAnswer: 6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 499*y + 907. List the prime factors of c(21).\nAnswer: 2, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 3 = 43. Suppose 0 = -r + 15 - 1. What is the smallest common multiple of r and 1\/q*-1*8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 314*i + 24649.\nAnswer: (i - 157)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 3*a**2 - 2*a**2 + 7*a**2 - 16*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 r, and 2 d when four letters picked without replacement from cgrgdggkddgkdgd?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*m - 3 = 0, 2*j + 3*j + 4*m - 3 = 0. Find the third derivative of 35*i**3 - 26*i**j - 9*i**3 - 34*i**2 + 16*i**4 wrt i.\nAnswer: 384*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44.5*-760.\nAnswer: 33820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*d - 139 = 0, -309*n - 173 = -314*n + 3*d. What is the remainder when 1053 is divided by n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352921 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 1104 = -4*w. Suppose 0 = w*z - 66*z - 171. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 41. Let l(s) = 6*s - 123. Determine -2*l(i) - 7*t(i).\nAnswer: 2*i - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78 - -0.1606?\nAnswer: 0.9406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**5\/150 + z**4\/60 - 2*z**3\/5 - z**2. Find m such that t(m) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4512512443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473183.\nAnswer: 83, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1064 - 1501. Let q = -436.99999431 - n. What is q rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, 4, 5, 69, 6, -3 in decreasing order.\nAnswer: 69, 14, 6, 5, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 434?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l. Let v = -6 - 2. List the prime factors of d(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101010 + -10001100?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 + 46. Suppose -2*y - 15 = -7*y - 5*z, -3*y + b = 5*z. Find the first derivative of 25*w + y*w - 11 - 9*w wrt w.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/4)\/(-1)*10. Let b be ((-6)\/(-9))\/((-2)\/(-21)). Suppose 0 = w - 2*n - b, -2*w = 2*w - n - 21. Calculate the greatest common factor of q and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1502, 1481, 1470, 1475, 1502, 1557?\n\"Answer: q**3 - q**2 - 25*q + 1527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.346538 to two decimal places.\nAnswer: -48.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 10 + (1 - 5) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 16692581.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 182142785 to the power of 1\/3, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 + 30448*n + 8380944 = 0. Calculate n.\nAnswer: -7326, -286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 93267.73 millennia in years?\nAnswer: 93267730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 859943058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixo when three letters picked without replacement from {i: 2, x: 2, e: 2, o: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9742*l = -9756*l + 140. Suppose -2*u = 5*i - 0*i, -u = -5*i + 15. Let m = u + 10. Calculate the highest common divisor of l and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 16*q**2 + 28*q + 3. Let o be c(-14). Let s(x) = -x**2 + x. Let l be s(0). Let p be l - 1 - 1\/(-1). Solve -2*v + o + 7 = p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 14*m - 29. Let q be k(-12). Let y = 115\/3378 - 2\/2815. Is q >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2239 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 13*d**2 - 5*d + 16. Let p be v(-9). Suppose -3*u + 74 + 148 = 0. Let k = u - p. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0, -147, -3, -0.1, 1\/60?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -232, -227, -222, -217, -212?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12398 - 6.\nAnswer: -6.12398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191.582 + -189.8. Let c = x + -1.8. What is c rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27144 is divided by 4702.\nAnswer: 3634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1061 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 1031484.\nAnswer: 5\/343828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 0, -3\/8, -3, 1\/3 in increasing order.\nAnswer: -3, -3\/8, 0, 1\/3, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*w - 6 + 30*w - 19*w with respect to w.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/5)\/(2\/(-5)). Let j(i) be the second derivative of 17*i**5\/5 - i**4\/12 - 4*i. Is j(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51374*o**3 + 1 - 32*o + 51366*o**3 - 3*o**2 - 1 in the form s*o + q*o**2 + m*o**3 + w and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, c: 2, o: 2, z: 8}. What is prob of sequence qozc?\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 2*a**2 + 1\/6*a**3 - 1\/12*a**4 + 0*a + 0. Calculate the least common multiple of 2 and r(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - x + 19 = 0, -4*k + 4 + 4 = 5*x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 7*u + 5. Calculate the remainder when 66 is divided by y(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*2*749\/(-14).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2327814624 is divided by 2302?\nAnswer: 2298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + s**2 + 1. Let y(u) = -u**3 - 120*u**2 + 34. Let j(w) = -t(w) - y(w). Find the first derivative of j(f) wrt f.\nAnswer: -3*f**2 + 238*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 9*i**2 + i**2. Let r(t) = -1298*t + 2 + 1277*t - 2. What is g(r(s))?\nAnswer: -2646*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 122 + -39?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-1))**(-25\/3))**(1\/28))**(-1))**(-50) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93559*v**3 + 93606*v**3 - 5 + 1 + 4.\nAnswer: 47*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -25*b**2 + 1. What is h(-2)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -7 + -1 + -25?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -580.236 - -0.236. Let p = -1031 - s. Let b = p - -450.99999769. What is b rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q. Let u(a) be the first derivative of -7*a**6\/45 - 2*a**3 + 27. Let i(t) be the third derivative of u(t). What is i(v(o))?\nAnswer: -224*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 109773439 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + 99 + -37 - (-3 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -44. Suppose k*f = 4*t + 3*f - 32, 4*t + f - 24 = 0. Suppose 5*r + 2*s - s = 16, 0 = t*r + 5*s. Solve 5*h - r = 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 6*h - 154 = 10*h - 5*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1925*c*u + u - 493 wrt c.\nAnswer: 1925*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1522699 - 15196473\/10. Let l = c + -3056. Find the common denominator of 21\/10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2367680 is divided by 124612.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-42)\/(-84))\/(1*-4)*-8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 257117, 9, -3 in descending order.\nAnswer: 257117, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448470386 divided by 305778?\nAnswer: 4737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -380, -765, -1168, -1595, -2052, -2545, -3080?\n\"Answer: -r**3 - 3*r**2 - 369*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 7 = 18. Let g(k) = -29*k - 21. Let b be g(-1). Suppose 52 = m + 5*o, 0 = -5*m + b*m - o - 92. What is the remainder when m is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -264 + 238. What is the nearest to 2\/5 in 0.4, -1, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001402 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*3)**2 + -2 + sqrt(57)\/(4*sqrt(3)).\nAnswer: sqrt(19)\/4 + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, 2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1754 = -14*l + 10566. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwu when three letters picked without replacement from {s: 1, u: 10, w: 1, i: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 773477, 3092410, 6957299, 12368144, 19324945, 27827702?\n\"Answer: 772978*m**2 - m + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*438\nAnswer: -876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 - 1)*(0*u**4 - u**4 - u**4).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/2422455 - -73140563\/230710. Let c = 317 - b. Is -1 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73*c*w**2 - 58970*c + 289*w**2 with respect to w.\nAnswer: 146*c*w + 578*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q + 39. Suppose 3 = 2*a - 2*m - 1, -4*a + 18 = -2*m. Let v be x(a). Let z(i) = 2*i**2 - 2*i - 1. What is z(v)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woo when three letters picked without replacement from {w: 18, o: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 739 = s, -s = 2*s + 15. Calculate the remainder when 254 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-99)\/15 - -5)\/((27\/(-330))\/9). Solve z = -8*i + 160 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250435 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 1\/6*l**4 + 3*l - 1\/6*l**3 + 0 + 0*l**2. What is the second derivative of t(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14088677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*w**2 + 225\/8 + 9\/2*w**3 + 565\/8*w.\nAnswer: (w + 9)*(6*w + 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 683704999 divided by -4918741.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u + 4*u)*(-2*u - 3 + 3) + (0*u - u + 0*u)*(8*u + 14*u + 11*u) + u**2 + 0*u**2 - 3*u**2.\nAnswer: -37*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2. Let s(w) = -9*w**2 + 5*w + 218. Give s(y(h)).\nAnswer: -81*h**4 + 15*h**2 + 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*(9\/(-1))\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k + 3*k**3 - k + 10 - 7*k - k**3 to r*k**3 + j*k + o + d*k**2 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-9))\/((-4)\/228) - -5. Suppose 3*v - 181 = 4*v. Let b = -121 - v. Calculate the highest common divisor of b and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2034 + 3501. Let h be 8\/10 + (-263114)\/180. Let p = w + h. What is the common denominator of 36\/11 and p?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 7:51 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4753? (a) -0.3 (b) 6\/301 (c) -4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23676 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21\/4, 0.5, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -111 in 12\/23, -3\/2, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 9:40 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 15*z. Let l = 1.5 - 11. Let m = 4.5 + l. Which is the nearest to 2\/11? (a) m (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -305 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6632051227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ren when three letters picked without replacement from fneeeffnrnmreke?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*t**3 + 57231*t**2 + 4419*t + 105 wrt t.\nAnswer: -270*t + 114462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*q**4*v + 185478*q**3*v + 15*v + 1095371 wrt q?\nAnswer: 52*q**3*v + 556434*q**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 2.3. Let z = -26 + 25. What is the nearest to 0.2 in j, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -5*w**4\/24 + 43*w**3\/6 + 13*w**2 - 251*w. Let v(z) = 11*z - 87. Give -9*s(h) - 4*v(h).\nAnswer: h - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1948111 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 8 + (3 - 3 - 1)*(0 + 2 + 0))*(-12 + 12 + 4*f) + (2 - 4 + 1)*(-f + 2*f + 0*f))*(-293*f - 162*f - 32*f).\nAnswer: -3409*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = v, 4*v + 2*l - 18 = -0*l. Suppose v*z + 73 = 37. What is the units digit of (22*-1)\/((z\/(-4))\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 10:45 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r - 23. Let i be o(-6). Suppose i*n - 2144 = -n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*k + i, 137*k + i + 4 = 136*k. Put 5, -2, 2, k in descending order.\nAnswer: 5, 2, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168378 is divided by 123.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from fwr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from szzzsszzzzszszzz?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-125)\/100*420\/225\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(8\/(-2))*(-200)\/(325\/13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89780 is divided by 29918?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + -0.3. Let o = 28 + -26. Let i be o\/3*(-330)\/44. Which is the closest to -1? (a) -3 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 13. Let j be g(12). Let d = 0 + -2. Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 3. Let w(a) = -7 + 24 + 2*a - 10 - 5. Let f(b) = 4*h(b) + 6*w(b). Let y(s) = s**2. What is y(f(u))?\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8700106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 11*d - 8. Let w be t(10). Suppose w*u + 3*u - 15 = 0. Differentiate -5*l**3 - 102*l**2 + 102*l**2 + l**u - 4 wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4*b = 108. Let u = 4 + -5. What are the prime factors of (1\/u)\/((-3)\/b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -110, -5, 15, 1 in increasing order.\nAnswer: -110, -5, -4, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/17?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 45194.88ml?\nAnswer: 45.19488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9936 less than or equal to -39743\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2076 divided by -6.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 8082276*x + 5443598778348.\nAnswer: 3*(x + 1347046)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 25*p**2 + 561*p + 3036. Let g(f) = -5*f**2 - 112*f - 607. Let q(y) = -11*g(y) - 2*m(y). What is i in q(i) = 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**3 - 2*q**2 + 491*q - 2748 wrt q?\nAnswer: 6*q**2 - 4*q + 491","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 0 + -17 - (1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 45 = 3*i, -3*i - i + 209*k + 93 = 212*k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 - 2*f**2)*(-35 - 18 + 23)*(3 - 1 - 3).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 111469 + 111445 + 111470 - 557329 + 111472 + 111473.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -2)\/(6\/54). Let o = i + 6. Let m be o\/9 - (-26)\/42. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 66*d**2 + 1. Let n(i) = -i**2 + 3*i**2 - 3*i**2 + 13*i**2 - 3*i**2. What is y(n(r))?\nAnswer: 5346*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/9)\/(2\/3). Suppose -5*o = -o + 4*f - 160, 2*f - t = 0. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214 and 670877267.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9777 (base 16) in base 13?\nAnswer: -14859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 3. Let h be r(0). Suppose -h*j = 15, 2*a - a = 2*j + 14. Put -5, a, -1 in decreasing order.\nAnswer: a, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m**2 + 2 + 4*m**3 - m - 5*m - 5*m**3. Let f be y(6). Is 1 + f + 128\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a90 + 5?\nAnswer: -a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/339392233 and -13\/31490001.\nAnswer: 3054530097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - b = -0*a + 67, -2*a - 4*b - 16 = 0. Let l be a\/(-91) + (-420)\/26. Let w = 20 + l. Solve -2*i + w*y + 11 + 1 = 0, 2*y + 14 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5608014 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 27 in descending order.\nAnswer: 27, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*t + 32. Solve 2*x + 3*h - 12 = t*x, -2*x = -h - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*z**5 + 2*z**5 - 7*z**5 + 2*z**5 + 0 + 0 + (3*z**2 - 5*z**2 + 0*z**2)*(-3*z**2 - z**3 + 3*z**2) - z**5 + 2*z**5 + 0*z**5.\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155106 and 199422?\nAnswer: 1395954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31527 is divided by 159?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/84 and -113\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) -0.1 (c) -36 (d) 3 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9958 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -9.3. Let k = 65\/72 + -9\/8. Sort 5, k, g in decreasing order.\nAnswer: 5, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 1:13 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3 - 518*c**2 - 516*c = 0.\nAnswer: -258, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Let m be (-31)\/35 - (-4 - 68\/(-20)). Let x be (-2)\/(-5) + 44\/(-85). What is the second smallest value in c, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(3\/6)\/(4\/(-88)). Suppose 6*r = f + g*r + 111, 4*f - r = -360. Which is bigger: 0.3 or f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*w + 15 = -0, -5*p = -w + 45. Let f be p*((-63)\/2)\/9. Let n = -25 + f. Solve -2*j + n*j = -2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 544*(-46)\/(-5520)*5*6\/(-16).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*1)\/((-14)\/(-6)). Let h be 61\/(-5) - 60*46\/(-230). What is the closest to 0 in 5, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*u. Suppose 0*z = 5*z - 4*w - 79, 2*z - 4*w = 34. Solve u = 5*v - z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 24*o - 61. Let x be d(9). Let f = x - 150. Solve 0 = -f*a + 6*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/132 and (-50)\/12*480\/(-1120)?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 + 65. What is the common denominator of -1*((-27)\/v)\/(3\/(-14)) and -65\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o + 4. Let w(l) = -48*l + 16*l + 33*l. Give w(x(c)).\nAnswer: 5*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88154 and 945652.\nAnswer: 10402172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 5) + 4 - -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -27.4\nAnswer: -959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 553*u**2 - 74*u**3 - 1107*u**2 + 553*u**2 as g*u + h*u**3 + i + d*u**2 and give h.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12.6, -1\/3, 3\/5, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 2. Let d(w) = -6*w + 17. Let v = -94 - -91. Let n(h) = v*u(h) + d(h). What is the derivative of n(k) wrt k?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -211.6 in 3, 1, 4, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -23*v - 3. Let u be b(-6). Calculate the highest common divisor of 54 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73740492?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 - 44*g**2 - 145*g - 133. Let c be s(25). Is c greater than -312\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46120 is divided by 7212?\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2119 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 3, 0.1662, 0.3, -4\/41 in descending order.\nAnswer: 3, 0.3, 0.1662, -4\/41, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4550 (base 6) to base 16\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -1031.\nAnswer: 20\/1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 368\/(-48) + (-5)\/(-3). Let s be (-1 + 10\/4)*-2. Let x be s*(32\/y - -4). Solve 0*l + 4*l + x = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19622609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -1549*r**3\/3 + 809*r - 2106. What is the derivative of u(h) wrt h?\nAnswer: -3098*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (35 + (75 - 58))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4767 + 5b?\nAnswer: 47c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9 + 6 + 28*s + 29*s**3 + 1 - 18 + 17*s wrt s.\nAnswer: 174*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31685 plus 188446.8255?\nAnswer: 156761.8255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w - 3*f - 9, w + 5*f = -25. Suppose 0 = -2*g - 10 + 4. Let s be ((-30)\/18)\/(1\/g). Sort s, w, -1.\nAnswer: -1, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -13*z - 2. Calculate r(-12).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12461614 - -224?\nAnswer: 12462141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:07 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1015 and 696.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**2 - 3*l + 3*l - 6 + 5 to x*l + w*l**2 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/6 of a day?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(-4 + 1 + sqrt(700)) - (sqrt(700)*1*3 + -5))*1.\nAnswer: -420*sqrt(7) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7734351?\nAnswer: 3, 2578117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2)*(-3)\/6*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 210998556*s**2 + 164633779 with respect to s.\nAnswer: 421997112*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 494.\nAnswer: 1\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(170)*-2*-5*-3)\/((-2*sqrt(1440) - sqrt(1440)) + (sqrt(1210) - -2*sqrt(1210) - sqrt(1210))).\nAnswer: -60*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2327*m + 6367*m + 269514 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2267 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r - 5*a = -57*r + 189, -4*r + 6*a = -194. What is the remainder when r is divided by (-3 + 4)*2*11?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.4 (b) -0.24 (c) -5 (d) -2\/587\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -980\/109, 3\/2, 162 in descending order.\nAnswer: 162, 3\/2, -980\/109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 0*d + d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -23. Let k = -970\/1309 + 5\/187. Which is the closest to -1\/2? (a) k (b) g (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + (-2 - 25) - -12) + 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 10. Let h(n) = 2*n + 5. Let s be h(d). Put 5, 0, s in increasing order.\nAnswer: s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 0.5 (b) 2\/7 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Let a(u) = w*u - 8*u + 2*u - 6*u. Let q(y) = -y**2. What is q(a(t))?\nAnswer: -81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 468 - 466. Let j(x) = 4*x**2 - 43*x - g*x**3 + 84*x - 37*x. Let l(v) = -v**2 - v. Give 5*j(q) + 20*l(q).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*t + 3*t**3 - 17*t + 2*t**4)*(88 - 39 + 2*t - 47).\nAnswer: 4*t**5 + 10*t**4 + 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*7\/(-455))\/(10248\/(-6405))?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {f: 3, m: 11}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*a + 389, -3*g + 227 = 3*a + 2. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 13 + 51 = 0. What is the remainder when 222 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 719 + 59 = 0. Let o be (l\/(-75))\/((-2)\/60). Differentiate -4*i**2 + 11*i**2 - 7 + o with respect to i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.125 + 0.115. Let r = 21.36 + d. Let f = -24 + r. What is the smallest value in f, 0.3, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 9*u - 7. Let z be l(9). Let f = z + 7. Calculate the remainder when 670\/5 - -3 - (-1 - f) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34378 + 61179. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.73 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/5 - 4388*y\/5 - 47784\/5.\nAnswer: -4*(y + 11)*(y + 1086)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = 14*g - 159 + 31. Solve -3*p + 7*w + 5 = 9*w, 0 = g*p - 3*w - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8836 + 10212. What is the highest common divisor of 6536 and x?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 40*h**2 + 5*h + 48. Does 9 divide l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.19 - -0.19. What is the second smallest value in 1, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -10)*1\/2. Sort 5, 6, s in decreasing order.\nAnswer: 6, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wggg when four letters picked without replacement from wwwwgwgg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + sqrt(425) - sqrt(425)))**2 + (sqrt(425) - (sqrt(425) + 1 + 3)**2).\nAnswer: -440 - 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 8008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 10*k**2 - k. Let y be d(-10). Suppose -3*z - 2864 = -4*t, -3*t + y*z - 8*z + 2149 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, e: 14}. Give prob of picking 3 e.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - u = -41, 0*h - 3*h + 4*u + 43 = 0. What is the greatest common factor of h and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 455\/4 - 113. Let x = 1398.3 - 1398.6. Sort x, v, -0.06 in descending order.\nAnswer: v, -0.06, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*t = -3, -3*a = 3*t + 3 - 27. Suppose a*r = -1 + 4. Let u(y) = 15*y**2 + y. Calculate the remainder when 31 is divided by u(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1504, -3010, -4506, -5986, -7444?\n\"Answer: g**3 - g**2 - 1510*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 5 - 3)\/(-2) + 3. Let j be (1*6)\/(g - 0). Solve 8 = -2*a - 8*i + j*i, 10 = -5*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38*(-68)\/(-9044))\/(1\/7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**2\/p*p))\/p**(-1\/3))\/(p*p\/((p*p*p**1)\/p))**(2\/33) assuming p is positive.\nAnswer: p**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5357609?\nAnswer: 5357609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-22) - 3)*(-5 - (-138)\/10).\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-352) + (-972)\/1848. Which is smaller: c or 197?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 228*i**4 - 1120*i**3\/3 - 1093*i. Find the second derivative of w(q) wrt q.\nAnswer: 5472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345159340 smaller than 345159339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*l - 12. Suppose -2*d = -6 - 0. What is the nearest to l in 0, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + u - u + u**3 + 2*u**3 - u**3 + (5 - 4 + 0)*(0*u**3 + 3*u**3 - u**3) + (-u**3 + u**3 - u**3)*(0 + 1 + 1).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11334 by -3.\nAnswer: -3778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(99) - sqrt(99)*-2))\/(sqrt(18)\/(sqrt(4)\/sqrt(2)) + sqrt(9)))**2.\nAnswer: 2475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19158 and 12?\nAnswer: 38316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286191.\nAnswer: 3, 31799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 + -2.3. Which is the closest to -1? (a) -4\/3 (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6cc4a (base 14) to base 15.\nAnswer: 53b7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2. Let f be ((-3)\/((-9)\/6))\/2. Calculate the smallest common multiple of u(f) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 335, 8, 2 in increasing order.\nAnswer: -2, 2, 8, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 11*z**3 + 11*z**3 + 0*z**3 - 19*z**3 in the form w*z + m*z**3 + v*z**2 + c and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -139954 divided by 826\nAnswer: -69977\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p + 58. Let r be i(-14). Suppose 46 = 3*v + a, -2*v + 22 = -r*a + 7*a. Suppose -12*w + v*w - 684 = 0. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 679098 and 286881.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 6*u + 7. Let m be q(8). Let i be m\/6*(-8)\/6. Find the third derivative of -2*p**2 - p**2 + i*p**5 - p**5 wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 13*u + 16. What is v(6)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 8*a - 10. Let h be y(-5). Suppose 0 = -h*s + 5*s + 15. Let i(u) = u. Let l(c) = 1. Give s*i(o) - l(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1560 and 346851180?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 4:20 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -8 (c) -4 (d) -0.1 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 905353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -85\nAnswer: -4\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -8*a - 37 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4303 + -2212334?\nAnswer: -2203031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5728 - -1450. Is 32\/48*(-3 - r\/4) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -1\/24*f**5 + 91*f**2 + 0*f + 10\/3*f**3 + 5\/24*f**4 + 1. Factor n(b).\nAnswer: -5*(b - 4)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-4)\/12*-57. Let k(f) = f**3 - 18*f**2 - 15*f - 54. What is the smallest common multiple of k(z) and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s. Let a(z) = 3*z**2 - 4*z**2 + 4*z**2. What is n(a(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/8 - -61\/72. Let i = 1.81 - -5.19. Let p = i - 7. Which is the nearest to q? (a) p (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1535275 - -9?\nAnswer: 1535280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 29888.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j - 22*j = -423 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 5*d - 10. Let y be c(-6). Let p be -7 + 2 - y\/1. Calculate the smallest common multiple of 0\/(-1 + 3) - (-7 - p) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776592523 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 divided by -2.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436*j**3 + 1059*j**3 - 374*j**3 - 258*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 84242*c. Let q(b) = -b**2. What is q(l(y))?\nAnswer: -7096714564*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-90)\/(-72) - (2 - (-2 - -2)). Is d equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -44*j + 3698. Let y be w(84). Find n, given that -2\/3*n**5 + 64\/3 - 40\/3*n**y + 16*n - 6*n**4 - 52\/3*n**3 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 203.8? (a) -1\/9 (b) 0.5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/4, 2, -0.7, -5\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11903.6 and -0.02?\nAnswer: 11903.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imkimmikmkkeekiim. What is prob of picking 3 m?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-375))\/(-4*48\/576).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4 + 3 + 1 + 2*n**2. Let v(x) = -x + 0*x - 4*x - x. Calculate v(k(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 3*k - 5*r + 6975, -3515 = -2*k + 3*r. Calculate the common denominator of (1\/(-12))\/((-7)\/k) and (3\/(-5) + 0)*12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = w + 4 + 146, -4*a - 4*w - 120 = 0. Let i be (-6)\/a - (-2)\/(-10). Let g(t) = t**2 - t + 26. Is 13 a factor of g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -14*r**2 - r. Let o(i) be the second derivative of 1\/3*i**3 + 0 - 145*i + 0*i**2. What is o(x(v))?\nAnswer: -28*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/5 + 36*u**3\/5 - 126*u**2\/5 = 0. What is u?\nAnswer: -21, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 4608*l + 1204434.\nAnswer: -2*(l - 237)*(l + 2541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*u - 6 = x + 210*u, 5*x + 4*u + 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 7378?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/11)\/z**(-4\/11))**(-23\/2) assuming z is positive.\nAnswer: z**(-69\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -12*z**2 + 1 - z - 9 - z**3 + z**2 + 0. Let q be t(-11). Suppose -q*a = -43 - 53. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/20)\/((168\/560)\/((-84)\/10)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**1)\/z)**13*z**(-3\/5)*z\/(z*z**(2\/17)\/z))**(2\/61))**(-13) assuming z is positive.\nAnswer: z**(28106\/5185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26981971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1508)\/78 + 18)*(-4 + 93\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 + 6 + 1 - 6)*(-6*g**3 + 4*g - 4*g) to the form b + i*g**2 + p*g**3 + k*g and give p.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-3)*v*v*v)\/v)**(-3\/11))**(-15)*(v*v*v\/(v\/(v*v**(-1)*v))*v)**(2\/25)\/(v*v\/(v**(-8)\/v)*v**(-8)) assuming v is positive.\nAnswer: v**(-67\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 878771567597?\nAnswer: -878771567596.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 23638.9 to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(1 - 1 - 2*v**2) - 1 + 1 - 5*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -0.1, -4, -1\/3, -0.2, 8\/473?\nAnswer: 8\/473","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10308823 by -7.\nAnswer: 1472689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 4*u - u**2 + 193 - 38 + 0*u**2. Is j(0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -916194 by 458097.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010 + -1110000101?\nAnswer: -1101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - 23040212?\nAnswer: -23040134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + sqrt(132)\/sqrt(3) - (1 + sqrt(11) + 5 - sqrt(11)))**2.\nAnswer: -48*sqrt(11) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 503, 1009, 1519, 2033, 2551, 3073, 3599?\nAnswer: 4129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-1) - 195\/(-26)) + 2 + -9?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34290.9l in millilitres?\nAnswer: 34290900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173*n**3 + 36*n.\nAnswer: -1038*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23116 - 23114. Factor 4\/3*b**p + 4*b + 8\/3.\nAnswer: 4*(b + 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1044*c*k*m**2 + c*m**2 - 17*c*m - 108643*c - 2644*k*m**2 - 4 wrt k.\nAnswer: -1044*c*m**2 - 2644*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(500)*3 - (-2 + sqrt(60)\/sqrt(12) + -4).\nAnswer: 6 + 119*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 432*p + 9. Let n(o) = 186*o + 4. Give -5*n(v) + 3*q(v).\nAnswer: 366*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - -3. Let b = h + -34. Suppose f = -0*f + b. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 6 + 4 + r + 2.\nAnswer: r + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*s - 25, -5*y + 4*y - 7 = 3*s. Solve -3 = 2*t - o - 1, 5*t + y*o = -5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 2. Let c be i(-3). Let t = c - -35. Calculate the least common multiple of 9 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w + 1 + 38*w + 5 - 5. Let o(f) = f**2. Give n(o(y)).\nAnswer: 51*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 3. Let n be (-1 - k)*(-1)\/(-1). Calculate the smallest common multiple of 2 and (6 + n)\/(4\/10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-275)\/22 - -5) + 4\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936*p - 1066*p = 3250 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/9)*b*b\/(b*b**(2\/5))*b)\/(b**1)**(2\/27) assuming b is positive.\nAnswer: b**(146\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a + 2. Let o = 9 - 2. Let p be g(o). Let f = -11 + p. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -442*m + 2 + 2 + 2 + 1 + 7 to the form q*m + d and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 7 = -z - 2*d, 0 = z - 2*d - 1. Let x be ((-154)\/28)\/(-11)*60. Sort -4, z, x in descending order.\nAnswer: x, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4. Let x be (-4)\/(-14) + (-1032)\/(-63). Let h = x - 16. Which is the nearest to s? (a) h (b) 2\/11 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (27 + -31 - (-5 - 13))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.48834076472 + 30.3\nAnswer: 30.78834076472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59100 and 88650?\nAnswer: 177300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*u - 1 - 1, -u - 6 = 3*n. Let b = 4 - u. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4078 + 4086 = -4*c. Let o = -632 - c. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 + 20232203?\nAnswer: 20233013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 513196.8 years?\nAnswer: 5131.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 27?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*x - 5)*(-4*x - 5*x - x) + 11*x - 11*x - x**2 - 6*x**2 - 15*x + 15*x.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4 and 18\/17?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -922 + 1444. Let r = 1142.123 - 620.352. Let q = o - r. Round q to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1556.636km to nanometers.\nAnswer: 1556636000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 21 - 21)*(4*s**3 - 2*s**3 + 0*s**3) to b + w*s**2 + d*s + z*s**3 + g*s**4 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + d**2 + 73. Let s be m(0). Let u = s - 4. Calculate the greatest common factor of 46 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = 3. Let s(c) = 1 + 7*c**2 - 3*c**2 + c + w. What are the prime factors of s(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/260 - 233\/260. Let y(w) = -3*w**3 + 3*w - 2. Let g be y(-2). Find the common denominator of a and (534\/g)\/((63\/(-12))\/(-7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1768233475 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 112*q**2 - 104*q + 297. What is u(-57)?\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/9794211 and 101\/36?\nAnswer: 117530532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**6 - 2150*q**3 - q**2 - 3*q - 495 wrt q?\nAnswer: 240*q**3 - 12900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513 - 552 = -d - 5*r, 0 = d - 4*r + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/50*(-328)\/6. Let n = -16 - i. Which is the smallest value? (a) n (b) -1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1307 + 3*s**3 - 1311 + 2618 - 4*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*s = -302984, 47 = -5*s + 27. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 68235*f - 2394350.\nAnswer: 5*(f - 13682)*(f + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100302 (base 4) in base 7?\nAnswer: -101620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 + (-8)\/(-6))*3)\/((-498)\/(-4482)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1107010.301 to the nearest 100.\nAnswer: -1107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13905150 and 63175.\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1*q\/(q**(-20)\/q) assuming q is positive.\nAnswer: q**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 999693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o + 2935 - 3547 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 25, 35, 47, 61, 77?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in -4, 1\/10, -0.4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = v + 34. Suppose -31 + v = 10*h. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**6\/144 - u**5\/60 - u**4\/12 + 3*u**2. Let d(h) be the second derivative of i(h). Differentiate d(w) wrt w.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = -29*z + 184. Let r = -476\/1215 + -2\/243. Which is the third biggest value? (a) -0.58 (b) r (c) 2\/9 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*b - 4. Suppose b = -0*l + 3*l, 2*l = -5*h + 27. Calculate the greatest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1294 or 19549?\nAnswer: -1294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*b - 1188 = -b, -3*b + 1740 = 3*g. Suppose 7*a = 109 + g. What is the remainder when a is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25820 - 1503?\nAnswer: -27423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6974 + -2.4496. Round m to one decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 times 0.236861?\nAnswer: -1.8475158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -295\/80112?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*x = 189. Let o be 140\/18 - 6\/x. Let k(i) = -i**3 + 9*i**2 + i + 1. What is the tens digit of k(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**3 - 6*r**2 - 8*r - 5. Let w(n) = 7*n**3 - 7*n**2 - 8*n - 6. Give 6*d(j) - 5*w(j).\nAnswer: j**3 - j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.873484053 to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -734593, 28, 4 in decreasing order.\nAnswer: 28, 4, -734593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**3 - 3*g**2 + g - 2. Let n be t(2). Let v = 35 - n. Suppose 2*w + 4*f + 4 = -10, 3*f + v = 0. Solve -4*p + 21 = 5*s, -2*s - 5*p + w*p = -8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32523917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11\/3)*(h**(-9)\/h)\/h)\/((h\/(h\/((h**8\/h)\/h)))\/h**(3\/7)) assuming h is positive.\nAnswer: h**(-425\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 57 + 253 = 0. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 z when three letters picked without replacement from {u: 1, z: 1, y: 1, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(99) + 3 + (sqrt(22)\/sqrt(2))**2 + sqrt(11) + sqrt(11) + (sqrt(11) - ((sqrt(11) - sqrt(11)*-1*2) + sqrt(11))) + -5.\nAnswer: -16*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -25. Let x(p) = -42*p + 53*p + h - 2. Let t(b) = -5*b**2. Give t(x(o)).\nAnswer: -605*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1506, -4, -1.\nAnswer: -4, -1, 0.1506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -346 at least as big as 200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*z**2 + 7*z**2 - 12*z**2 - 2*z**5 wrt z?\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 3*a**2 + 3*a - 5. Let m be z(3). Suppose 0 = -y + 2*x + 1, 0*y - 13 = -y - m*x. Let h = 6 + y. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1154742 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r + 52 = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 213022 (base 5) in base 14?\nAnswer: 290a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -24*i - 4 + 5 + 3*i. Let v be j(-1). Suppose 130 - v = 3*z. What is the highest common divisor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l + 472500 = 41*l. Suppose 42*f - l = 17*f. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/189*(-2)\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 142*o. Let t(m) = m**2. What is t(f(c))?\nAnswer: 20164*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 15, x: 4}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 + i + 5. What is the units digit of j(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**9*g\/(g**(1\/6)*g))\/(g**0*g)**(-9) assuming g is positive.\nAnswer: g**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 1\/((-3)\/(-87)). Suppose -5*a - w = -y, -2 = 3*w - 11. Solve 5*t + 3*j = 5, -2*j + 6*j = -5*t + a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 593115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 9 - 12*f + 12 + 8 + 10*f**2. Let a be s(9). Let t = -11 - a. Sort -2, 7, t.\nAnswer: -2, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n + n - 5*n)*(n - n + 2*n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 558*s**2 - 2. Let n(x) be the third derivative of -x**5\/20 - x**2 - 96. Determine n(u(f)).\nAnswer: -934092*f**4 + 6696*f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27563 to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 428747875 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {g: 10, i: 4}?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = -5*f + 20, 35 = 4*q - 5*f. Sort 5, -4, 4, q in ascending order.\nAnswer: -4, 4, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -33 - (342 - 250)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (1 - 33 - -9 - 4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57053, -114195, -171345, -228503, -285669?\nAnswer: -342843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39301976967737 - 0.33?\nAnswer: -39301976967737.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 1644464*a - 1644466.\nAnswer: 2*(a - 1)*(a + 822233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440652?\nAnswer: 2, 3, 36721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 47 = 88. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 15*u - 4. Let r be z(5). Suppose 5*a + 0*a - r = -2*v, 5*v - 15 = 0. Solve a + 7 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11\/4 - 25\/12. Let f = 74117.2 - 74117. Let w = -17 - -50\/3. Which is the nearest to z? (a) -4 (b) w (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -262640*n**4 - 511876*n + 1?\nAnswer: -3151680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, p: 9}. What is prob of sequence pjj?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**3 - 4*w**2 - 183*w - 348. Determine p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/10 and 126\/2800*14\/3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 239 + -79. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*g**5 - 48815*g**4 + 175295*g**3 + 224555*g**2 - 818400*g - 350820 = 0. Calculate g.\nAnswer: -2, -2\/5, 3, 1949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 0 + 0 + (v + v - 5*v)*(-1 + 3 + 0) + 4*v - 6*v + v + 0*v - 3*v + 6*v to the form u + c*v and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.145697 times 9?\nAnswer: 1.311273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 <= -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6840)\/(-900)*(-510)\/68?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r - 2*r)*(2 + 1 - 2)*(40*r - 74*r - 35*r) + 1 + 4*r**2 - 1 + (-3 + 3 - r)*(0 - 2*r + 0) - 3*r + 3*r + r**2.\nAnswer: 145*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.7 - -38.2. Let v = -0.2 - -0.3. Which is the nearest to 1? (a) -0.1 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 99*l**2 + 9*l - 3. What are the prime factors of m(3)?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j + 18. Let h be 12\/4 + j\/(-3). Suppose g + h = 6*g. Is 2\/71 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 4. Let i(t) = 3*t + 14. Let q(d) = -2*d - 13. Let r(m) = -4*i(m) - 5*q(m). Let x be ((-6)\/(-7))\/((-5)\/(-35)). Calculate x*r(y) - 13*k(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -24. Let m(g) be the second derivative of 1\/2*g**2 + 0*g**3 + 0*g**4 + 1\/10*g**5 + f + 2*g. What is the derivative of m(h) wrt h?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - 27*m - 13. Suppose 11 = 2*a + 9*u, 5*u - 55 = 5*a - 0*a. Give h(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h + h - 5 - 4*h - 6*h. Let g(a) = 6*a + 6. Let v(d) = -5*g(d) - 6*j(d). Let m(w) = -2*w. Give v(m(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 40*w = -12832. List the prime factors of w.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhh when three letters picked without replacement from jjijhjjjjjhjhjjji.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -32 + -1 + 2 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -399*x + 272*x - 465*x - 589*x - 61*x + (-x + 4*x - 2*x)*(3 - 3 + 2) - x - x + 4*x.\nAnswer: -1238*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*i - 2388 = 265*i + 3772 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1678*z - 139269. What is s(-83)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*8\/(-4) - -4596. What is the tens digit of b\/10 + (-10)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 10*y**2 - 21*y - 9. What is h(-12)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9668.\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*n = j - 4, -7*j + n + 6 = 4*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -11)*8*2\/(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 856*l**2 - 51*l + 21879. Calculate b(428).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nof when three letters picked without replacement from fnoefwnofnrrwfro?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, 2, 1823 in ascending order.\nAnswer: -5, 2, 13, 1823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1)\/1 + 27. Let v(y) = y**3 + 9*y**2 - 6*y + 5. Let t be v(-8). Suppose -23*c = -20*c - t. What is the highest common factor of g and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 3656089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**5\/20 + d**4\/2 - 7*d**3\/6 + 2*d**2 - 83*d - 85. Let m(n) be the first derivative of x(n). What is m(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = -5*z - 1476, 251125 = 2*q - 2*z + z + 250857 for q.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i = 39*i - 80. Let p(v) = 6*v - 6. Let q(x) = -7*x + 7. Let a(o) = -3*p(o) - 4*q(o). Let m(h) = -3*h + 3. Give i*m(n) + 5*a(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 10:56 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3)*4)\/sqrt(4) + (-1*sqrt(605) - (sqrt(5) + (sqrt(80)*5 - sqrt(5) - sqrt(5))**2)).\nAnswer: -1620 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16453, 32065, 47679, 63295?\nAnswer: 78913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 1522*l + 47682. Determine d(32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4030103?\nAnswer: 7, 11, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1115 + 4?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -504*q**3*w**2 + 257*q**3 wrt w.\nAnswer: -1008*q**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**2\/2 + 7*a - 2. Let s be f(-6). What is the greatest common factor of s and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by 2.\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c**2 + 175*c - 683. Is o(80) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 15*q + 6. What is j(-13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5303 is divided by 4435.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(891\/22))\/(1\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 8 = -0*p - 2*p, -l = p + 4. Suppose -5*t - 112 = -12. Let m be ((-6)\/l)\/((-105)\/t). Which is smaller: m or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.590001 - 0.59. Round b to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 190274962 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7\/14*1*(21 + 1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*272\/(-8330))\/(((-990)\/(-77))\/5).\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*r + 236 = 4*p + 81*r, 5*p - 313 = -r. Calculate the greatest common factor of 25978 and p.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 72 = 35*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 1280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**3 + 3*t**2 + 5*t + 2. Let p(l) = -4*l**3 - 2*l**2 - 3*l - 1. Let o = 0 - -4. Suppose 15 = 5*m - 2*a, 3*a = m - o*m + 9. What is m*q(n) + 5*p(n)?\nAnswer: n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -101*x + 2. Let d(m) = -132 + 300 - 167 - 16*m - 35*m. Give -6*b(r) + 11*d(r).\nAnswer: 45*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 28 - (-8 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -267390000 rounded to the nearest one million?\nAnswer: -267000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(7) + 4*(sqrt(28))**2 + 2 + (sqrt(112))**2 + 4 + -1.\nAnswer: sqrt(7) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61588 and 1958?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-535)\/(-214)*152\/2. What is the greatest common factor of r and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 = 4*t, -3*t + 18 = -2*t - 3*f. Factor -8*x**3 + 14*x**3 - 5*x**3 - 3*x**2 + t*x - 1.\nAnswer: (x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence heh when three letters picked without replacement from {e: 3, l: 1, h: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 1\/50*i**5 + 1\/30*i**4 + 0*i**2 + 0 + 8*i + 0*i**3. Factor w(u).\nAnswer: 2*u**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.099*-7.9.\nAnswer: 0.7821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2. Let d(p) = -18*p - 24. Let g(z) = 22*z + 26. Let l(f) = 6*d(f) + 5*g(f). What is c(l(m))?\nAnswer: -12*m**2 + 168*m - 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 135. Let a = 128 - p. Solve -a*b = -3*y - 28, -3*b = -y - 23 + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (-3 - (28 - 4)\/(-6)). Let l = -1494 + 2268. Suppose a + 5*f = l, 2*a - q*f - 1513 = -7*f. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 - -23. Let q = 5.05186 - 0.05186. Which is the biggest value? (a) -0.4 (b) -3 (c) n (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139895 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 415224, 830442, 1245660, 1660878?\nAnswer: 2076096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/288310731?\nAnswer: -1\/288310731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62143594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b - 47*b + 546 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*b*v**2 - 96*b*v - 2*b + 1091140*v**2 wrt b?\nAnswer: -8*v**2 - 96*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 861, -112, -140 in decreasing order.\nAnswer: 861, -4, -112, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 3*s**2 + 3*s + 1. Let q be t(2). Solve -q*b + 25 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(55*w**3 + 14*w**3 - 5*w**3).\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 9:38 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 - 7.21. Which is the second smallest value? (a) 2\/13 (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*a - 1240*a + 548*a + 16692 = 0 for a.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = 6. What is the third biggest value in -2\/9, b, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4841 is divided by 1199.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x - 16. Let g be s(8). Suppose -4*n - g - 40 = 0. Let b = -17 - n. Solve 2*y + r - 3*r = 0, -3*y = b*r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -14. Let h be ((-10)\/4)\/((x\/(-18))\/(-1)). Solve -h = -6*o + 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12100063 and 0.23.\nAnswer: 12100063.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-4)*60\/9. Suppose 0 = 2*i + 2*t - 8, -4*t + 11 = f*i - 7. Solve -w + i*n = 5 - 18, 4*w - n - 24 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -19*i**3 + 32*i**2 + 6*i - 13. Let y(v) = 12*v**3 - 21*v**2 - 4*v + 9. Let h(j) = 5*o(j) + 8*y(j). What is h(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 8*w**2 - 2*w - 11. Give j(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39969114 divided by -18.\nAnswer: -6661519\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31315, 65575, 99831, 134083, 168331, 202575?\n\"Answer: -2*z**2 + 34266*z - 2949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 119834256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6455829749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/200)\/(6\/100))\/((-3)\/(-12)*-1)?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.1, -5, 3\/8, 3, 14, -653?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 949 by 12.\nAnswer: 949\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 + -261. Let r = u + 878\/5. Are r and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8999 or -9000?\nAnswer: -8999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = 7763*u - 7772*u - 502 for u.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (31 + -30 + (-4 - 3)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/39)\/(10\/(-9))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 4. Suppose 4*c + 0 = o - 6, -2*c = -2*o + 12. Suppose j = -2*j - o. Give v(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.16279 or -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 56338.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 46 + 46 = 0. Solve b*y + 4*y - 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 5. Suppose 0 = -3*v - 0*a - 3*a + 69, -5*a = m. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - q**2 + 4*q + 9. Let b(a) = 3*a**3 - 2*a**2 + 11*a + 26. Calculate 4*b(u) - 11*f(u).\nAnswer: u**3 + 3*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*p - 4*u, 2*u = -5*p - 0*p + 80. Suppose p = -3*b + 154. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 m, and 2 g when four letters picked without replacement from mxvvsvxgsxvg?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.106, 5, -0.2, 0.14, -7\/8?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 330353128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007488 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.9 + 5. Let o = i - 0.099996. Round o to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -728, -1568, -2964, -4922, -7448, -10548?\n\"Answer: -a**3 - 272*a**2 - 17*a - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4972, -4, -2\/9, 5\/2, 0.1, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9613173?\nAnswer: 3, 61, 131, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 - 398.289.\nAnswer: -334.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 78. Calculate the highest common factor of 308 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 314*v - 2*v**5 + 78438*v**6 + 5*v**4 + 78617*v**6 - 157171*v**6 + 4*v**2 wrt v?\nAnswer: -13920*v**3 - 120*v**2 + 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 3, 615?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k**(2\/5))**46 assuming k is positive.\nAnswer: k**(138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -3. Let h = q - -3.65. Let a = h + -0.05. What is a rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1311734 is divided by 4112.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3258?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 2313050?\nAnswer: 2313100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from hgh.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 14. Let w be v(-13). Sort 2, w, -4 in ascending order.\nAnswer: -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 12111123?\nAnswer: -12111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwriiirrriihbr. Give prob of sequence irwi.\nAnswer: 25\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/9874933 or -1?\nAnswer: 7\/9874933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2447183 litres?\nAnswer: 244.7183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.21.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/(-115))\/(-18*(52\/(-80))\/13)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 0.005, -2\/13, 22 in descending order.\nAnswer: 22, 2, 0.005, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -552 + 556. Solve 2*j + 12 = o + 3, f*j = -16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -35*d. Let v(a) = -4*a. Give 3*h(p) - 28*v(p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 1\/6*g**3 + 17*g + 1\/2*g**2 + 0. Let b = 3 + -7. What is t(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and (-189)\/18*(-8)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/456*(2\/5)\/((-30)\/50)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4508\/6753 + -2\/2251. Let l = 6 + -1. Which is the nearest to -2\/5? (a) k (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - f = 40, 34 = 3*b - 4*f - 7. Suppose -9 = -4*m + b. Suppose -3*t + 7 = -8. Solve m*n = 16, 3*n = -t*z + 7*n - 21 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2103175 or 2103202?\nAnswer: 2103202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**6 - 3229*q**4*z + 44627*q**2*z wrt q?\nAnswer: -240*q**3 - 77496*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57061.81 rounded to the nearest one thousand?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*m = m, -5*m = 2*l - 9. Which is the closest to -1? (a) 0.4 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-670)\/134 - (-65)\/1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 256*o**2 + 22*o + 44 wrt o?\nAnswer: 512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffbk when four letters picked without replacement from kfbbbbbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -745*p**6\/2 - 69*p**2 + p + 859. What is the second derivative of k(b) wrt b?\nAnswer: -44700*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:52 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t**(-3\/5)*t)))\/t)\/((t*t**(-2\/11))\/t)*t**8*t*t\/((t*t**11)\/t))**(5\/17) assuming t is positive.\nAnswer: t**(-23\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13587 - 2*x + 4594 + 4513 - 2*x**3 + 5*x**3 + 4566 to r + y*x**2 + u*x + c*x**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.871774ug?\nAnswer: 0.006871774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 16 = 38 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/218, -2\/4815, 0, 5?\nAnswer: -2\/4815","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/6)\/j**(2\/9))\/(j**9*j**(1\/2)))**44 assuming j is positive.\nAnswer: j**(-3916\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16767 + 16767.00776. What is n rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2, -417\/4, 4, -1 in ascending order.\nAnswer: -417\/4, -2, -1, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 1, h: 1, v: 1, u: 1}. What is prob of sequence uhv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7532611 less than 0.33?\nAnswer: 7532611.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 618055 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) -4 (c) 0.43 (d) -10 (e) -0.051\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 99\/(-6) + 0 + (-6)\/(-4). Let i = -12 - a. Let v(j) = 4*j - 3. Let w(r) = -3*r + 2. Determine i*w(c) + 2*v(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.96 + -0.06. Let v = -4.9 + u. Let l = v + 3.999975. Round l to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 13. Let h(u) = u - 7. Let t(n) = 5*h(n) - 3*o(n). Let r(j) = 2*j - 9. Calculate 4*r(g) + 9*t(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 = -o + 2*o, 3*o = 3*g + 3. Let h(r) = 4239*r**3 + 4*r - 2. Is h(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18552468?\nAnswer: 2, 3, 11, 140549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -3*j. What is the least common multiple of 14 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 103 - 3 = 0. Let z be (-1 + 5)*(-2 - -6). Find the first derivative of -2*l + w*l + z - 16 - 12 wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*z + 25, 3*z + 15 = -4*a + 6*z. Let i(u) = -3*u - 22. Let f be i(a). Let s = f - -26. Calculate the least common multiple of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4493 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6844*i - 4970. List the prime factors of m(-8).\nAnswer: 2, 3, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -148.8525885 to 2 dps.\nAnswer: -148.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 213.1 and -33.\nAnswer: 180.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, 2\/5, -9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391, 347, 287, 211?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006246001 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - 28*x - 9. Calculate q(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 892 and 22?\nAnswer: 9812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 7955?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x + 15. Is x greater than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 14 + 3 + ((-536)\/7)\/8.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1344 + 1339. Which is the biggest value? (a) -11 (b) -1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73686909 + 204*i**2 + 73686909 - 207*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14019 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*m - 64 = -496*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*b**3*c**3 + 1006*b**3*c**2 - 87*b**3*c + b**3 + 487*c wrt c?\nAnswer: 174*b**3*c + 2012*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16667098 to four dps.\nAnswer: -0.1667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4494.51420419 - 4.89663419. Let r = 4389.61756475 - f. Let m = 100 + r. What is m rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -13 + 12 + (-2 - -3)*53 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-20)*4)\/(((-1666)\/(-35))\/14)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 278*k*r**2*x - 8240*k*r**2 + 86*k*x**2 + 2*k wrt x?\nAnswer: 278*k*r**2 + 172*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 - -0.03. Let y = o + -2.92. Let d = y + 2.999988. What is d rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101101111011110010001 (base 2) to base 8\nAnswer: -5573621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124.1 + -124. Let a be (7 - -4) + -3 - -1. Sort -2, f, a in descending order.\nAnswer: a, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 212571?\nAnswer: -2\/212571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 97482856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 76 + 19 + 29 + 2855*z**2 in the form a*z + f*z**2 + v and give f.\nAnswer: 2855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 76*k**2 - 7*k + 22. Let n = 96 + -89. Is d(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20917.\nAnswer: 13, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-13))\/(372780\/76518)?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88980 and 22740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h - 27*h - 5*h to the form y + r*h and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-44)*2)\/((-145)\/(-31320)*-108)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -36*q + 14. Let c(z) = -12*z + 5. Let x(b) = 17*c(b) - 6*p(b). Calculate x(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*b + 18 - 9 = 0, -5*b = 3*f + 7. Let a be (18\/54)\/(f\/6) - -3. Solve 0 = x - j - 6, a*j = -2 - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55095661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.4976611 to one dp.\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -83*o. Let q(j) be the second derivative of j**6\/120 + 69*j**4\/4 - 21*j + 3. Let g(r) be the third derivative of q(r). Determine x(g(a)).\nAnswer: -498*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2315 + 6988 - t**3 - 2324 - 2349 - t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/481?\nAnswer: -7\/481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 5*u - 4. Let s be (3\/u)\/((-1)\/20). Suppose 3 = 4*t + p, -2*p = 5*t + 2*p + s. Does 1\/2 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 149741*v**2. Let g(t) = -2227*t. Give g(o(j)).\nAnswer: -333473207*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 19*i + 36. Let p be r(-21). Let b be (1 - p) + (-7870 - 67). Round b to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2)*13\/26*(-11)\/11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -24. Suppose -a - 3*a + 416 = -4*d, -4*d = -a + 116. Is ((-16)\/v)\/((-8)\/a) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1585 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -2 (c) 29 (d) -0.56 (e) 0.04 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 6*x. Solve x*n = n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -634 times -0.036212\nAnswer: 22.958408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*z + 720 + 72 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1121 and 12095.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1634 - -1640. Calculate the least common multiple of 90 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/24 + (-1695)\/900 and 17\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 1, l: 2, k: 1, o: 2}. Give prob of sequence ko.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*r - 19, -5*m + 2*m - 3*r + 15 = 0. Suppose 61 = -2*i + 5*c, 4 = -i - m*c - 7. Let s = 58 + i. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 3. Suppose 10*p = 7*p. Give j(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2. Let n(o) = -65*o. Determine d(n(x)).\nAnswer: 8450*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -95*h**3 + 4*h**2 - 7*h + 5. Let b be i(4). What is b rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 96*n = -20*n + 2475 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (101 - ((5 - -1) + -14)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7}. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 46*c. Let m(w) = -47*w. What is s(m(k))?\nAnswer: 4418*k**2 - 2162*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159416492 is divided by 10627766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 5, -5, -0.02, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -222?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 625820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3*r**2 - 37*p**3 + 17*p**2*r - 23130*p*r**2 + 8*p*r - 3*p wrt r.\nAnswer: -2*p**3 - 46260*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akaaaaxakkkkaxkkvavx. What is prob of sequence vx?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p + 3. Let l(a) be the second derivative of a**3\/6 - a**2\/2 + 2*a. Let g(f) = 2*l(f) + n(f). What is g(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 654.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14926012?\nAnswer: 2, 89, 41927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275)*-2*4*-4 + (-5*(sqrt(66) + (sqrt(66) - (sqrt(66) - 2*sqrt(66)))) - sqrt(66))\/(-2*(sqrt(6) + (sqrt(6) - (sqrt(6) + sqrt(24)))) - sqrt(6)).\nAnswer: 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1736 or -24293\/14?\nAnswer: -24293\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 89. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b*j**2*v**3 - b*j**2*v + 5*b*j**2 + 7*j**2 + 3*j*v**3 wrt b.\nAnswer: -5*j**2*v**3 - j**2*v + 5*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17971?\nAnswer: 17971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164 - 779*z + 11728*z + 164.\nAnswer: 10949*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 48981471 - 48981471.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 3*h + h - 26*h + 2*h - 13*h + 3*h + 2*h - 4*h + 3 + 2*h - 3 + (-5 + 2 + 1)*(-3*h + 4*h - 2*h) + 5*h + 2 - 2.\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4351 - 4351. Is x equal to -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/23360 and 151\/60.\nAnswer: 70080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kssklsklsskskkssiki. Give prob of picking 2 l.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15) + (-64)\/(-110). Let p = 2.088 + -0.088. What is the nearest to 1\/2 in -2, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*2\/(-4)*-1. Suppose -3*n + x = -4*n. Let w = -214\/5 + 43. Which is smaller: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/11, -0.48, 2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, d: 1, u: 3, s: 8, b: 3}. Give prob of sequence ui.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(9)*-1*4).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4.132. Round u to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*v**2 - 257 + 259 + 62*v**2 - 12*v**2.\nAnswer: 18*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d - 306 - 269 = 0 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1999840 to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + l + 1. Let j(k) = 5*k**2 - 5*k - 4. Let z = 5 - 11. What is z*q(w) - j(w)?\nAnswer: w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**5\/20 + d**4\/4 + d**3\/2 + 3*d**2\/2 + 12*d. Let v be u(-2). Let k be -2 + v + (-6)\/2*-1. Solve -5*x + k = 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -75, -535, -1775, -4185, -8155, -14075, -22335, -33325?\n\"Answer: -65*j**3 - 5*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1935, 1541, 483, -1569, -4945?\nAnswer: -9975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 12:29 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000042455 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*b**3\/2 + 153*b**2 - 519*b\/2 + 99.\nAnswer: 3*(b - 1)*(b + 22)*(5*b - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 706527, 1413056, 2119585, 2826114, 3532643, 4239172?\n\"Answer: 706529*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5 - -3)*2. Let a = 22 + -153\/7. What is the third biggest value in -0.2, a, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 458 - -648001049.\nAnswer: 648001507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(12\/(-7)))\/(10\/60)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1948284 by -216476.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12041.03 + -12041. Which is the closest to -2? (a) w (b) -1 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -304 - -4?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -127 times -0.922834\nAnswer: 117.199918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 3. Let z = 68 - 75. Let u be (280\/(-42))\/(z\/6 - -1). Let t = 43 - u. Determine r(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014746339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 33. Let f(c) = 4*c - 9. Let l(h) be the third derivative of -7*h**4\/24 + 17*h**3\/6 - 78*h**2 + 238. Give o*f(t) - 6*l(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -328.999091 - -329. Round i to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -149.786, 2, -0.49?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 33. Let h(v) = v. Let w(d) = -4*d - 1. Determine f*h(p) + 2*w(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85*y**2 + 15*y**4 + 6*y**3 - 3*y**3 - 6*y**3 + y**3 wrt y.\nAnswer: 360*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -230.537 to zero decimal places.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -8. Let t = 26 - d. Let v be ((-3)\/3)\/((-2)\/(-8)). Sort v, t, -1.\nAnswer: v, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 7*l + 7. What is the tens digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**5\/50 - y**4\/15 + 4*y**3\/15 + 8*y**2\/5 - y. Suppose k(f) = 0. Calculate f.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1278806 divided by -13\nAnswer: 1278806\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/160 + t**4\/16 - 21*t**3\/16 - 142*t**2. Let f(c) = 0. What is c?\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726016467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -174848756*0.1\nAnswer: -17484875.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u, -4*u + 8 = -5*g + g. Let s(v) = v**3 + 5*v**2 - 6*v + 1. Let c be s(-6). Is 4\/(c\/g - -1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 75 + 145 - 122*m.\nAnswer: -122*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 12:59 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - y**2 - 5*y)*(0*y**2 - y**2 + 0*y**2) - 4*y + y**4 + 4*y + (-y**3 - 2*y + 2*y)*(3*y - 4*y - y) - 2*y**4 + 5*y**4 - y**4 + 3*y**4 + 3*y**4 - 5*y**4.\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -399.9650035 to 1 decimal place.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -70, -106, -142, -178, -214, -250?\n\"Answer: -36*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**3\/6 - v**2 - 4*v. Let n be s(-4). Factor u - 1\/2*u**n - 1\/2.\nAnswer: -(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7257 or -152398\/21?\nAnswer: -152398\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c**2 - 11*c. Suppose 3*r - 2*k + 0*k = 47, 3*r - 19 = -5*k. Let f(h) = 9*h - 36*h + h**2 + r*h + 13*h. Give 44*f(v) - 4*x(v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68484 is divided by 22826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.20041232 and 214520.6.\nAnswer: 214522.80041232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p - 450. Let k(t) = -6*t + 920. Calculate 3*k(o) + 7*q(o).\nAnswer: 10*o - 390","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (12 + -25 + -13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1982?\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + -186 + 1 - 2. Let s = 290 + z. Suppose 666 = -81*x + 3501. What is the remainder when s is divided by x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from ababbbba.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**4))\/(j**(-2\/133)*j) assuming j is positive.\nAnswer: j**(401\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13\/i*i**(-4\/7))\/(i*i\/i**13*i*i*i)**38 assuming i is positive.\nAnswer: i**(2208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) - (-1*(0 + sqrt(637)))**2.\nAnswer: -637 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 766 and 64.\nAnswer: 24512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34290359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 78866370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 14) to base 9.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from ipippppipip.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x. Let d(o) = -2*o**2 - 5*o + 5. Let v(h) = -2*h**2 - 6*h + 6. Let i(u) = 6*d(u) - 5*v(u). Determine t(i(g)).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 5*f + 7. Let p be a(6). Suppose -2*t - 3*v - 7 = -23, 4*t - 16 = -2*v. Let z = -2 + t. Is p greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*z + 83*z - 9 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.6 + -24. Let h = 14.8 + -16. Let u = w - h. What is the smallest value in -2, 5\/4, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -44. Suppose j = -5*m + m. What is the units digit of 1*-2*m\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1806748835.\nAnswer: 5, 361349767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 18 = -18*d. Suppose 5*j = -2*w + 2908, 4*j - 3*w + d*w - 2325 = 0. Let o = -366 + j. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i + 16 = -z, -3 = 3*z. Solve -5*n + i*v - 10 = 0, 5*n - 4 + 28 = -2*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:25 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + 85*t + 9*t to u + p*t and give p.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1335 (base 7) to base 16\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 548108189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 9299?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3 + 360*o**2 - 170446*o?\nAnswer: -6*o + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 2*r**2 + 4*r**2 - r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 18, c: 2}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -11*j**4 + 8*j**3 - 21*j**2 - 29*j + 11. Let y(k) = 2*k**4 + k**3 + 2*k + 1. Let f(b) = t(b) + 7*y(b). Factor f(i).\nAnswer: 3*(i - 1)**2*(i + 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004947275 to six decimal places.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 184282113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 485113399 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b = 4, 0 = -4*v + b + 32. Let u = -2 + v. Let m(a) be the third derivative of -a**4\/24 + 4*a**3\/3 + 8*a**2. Give m(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/49243 or 0.05?\nAnswer: -40\/49243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r - 32 + 16 - 23*r + 15*r - 23*r**2 + 12.\nAnswer: -23*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 13. Suppose 6 = -22*j + 20*j. Sort x, j, 4.\nAnswer: x, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(45)\/(sqrt(9)\/sqrt(3)) + sqrt(540)*1))\/((sqrt(20)\/sqrt(144) - sqrt(5)) + sqrt(5) + (sqrt(10) + sqrt(160))\/sqrt(2) + sqrt(5)).\nAnswer: 210*sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/11)\/p)\/p*p*(p\/(p*p**(-2\/9)))\/p)**(-18)*p\/(p**(-5)\/p)*p\/p**(-1\/5)*p**3\/(p*p**0) assuming p is positive.\nAnswer: p**(2141\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2467109.\nAnswer: 1181, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806365 is divided by 19199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1151 and 566900879?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)*n\/(n\/(n*(n\/n**(2\/23)*n)\/n*n)))**29\/(n**3*n**6\/n*(n**(-1\/3)\/n)\/n**(-1\/9)) assuming n is positive.\nAnswer: n**(-1925\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 0.02 (b) -3\/4 (c) -7\/6 (d) 0.1 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 - 75*r**2 + 75*r**2 + (-5*r + 3*r + 3*r)*(r**2 + 0*r**2 - 3*r**2) as u + d*r + k*r**2 + b*r**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 607*d**3\/7 + 2*d**2\/7 - 38848*d\/7 - 128\/7.\nAnswer: (d - 8)*(d + 8)*(607*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - (-4 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 811*c**2 + 0*c - 2*c - 698*c**2 to d*c**2 + v + y*c and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1223*j + 22968 = -266*j for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 2841*v - 258270. What is y(-94)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10794\/9 + -5*2\/(-15). Let v = t - -994. Let i = v + -21869\/10. What is the common denominator of -49\/2 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246532644 is divided by 61633159.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 1233356 and -65.714.\nAnswer: 1233290.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -511 + 516. Factor 5 - 3109*r**3 + 3114*r**3 - 5*r + k - 10*r**2.\nAnswer: 5*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*i = -43*i + 42*i - 48372358. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49.13626 and -164.2.\nAnswer: -213.33626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 0 - 6 - (0 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*g = -1 - 0, -4 = 2*m + 3*g. Let i be 3\/((-76)\/(-16) + -4) - 3. Let t(x) = -7*x + 3. Let b(w) = -1 + 2*w + 2 - 3*w. What is i*t(f) + m*b(f)?\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/1226 and -51\/8.\nAnswer: 4904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -1. Let v be (-2)\/(-6)*(-90)\/50. What is the nearest to -0.3 in o, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1625\/375*4\/(-81) and -25\/3.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 times 0.03?\nAnswer: 8.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a factor of 1248970425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -93, -218, -397, -630, -917, -1258?\nAnswer: -1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/71376 and 19\/5607.\nAnswer: 133401744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23205 = 2*l - 2*a + a, 23175 = 2*l + 5*a. Suppose -3 = 2*f + 1, -4*m + 3*f = -22. Let v be (10\/m)\/(4 - 46395\/l). Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 509 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6900, 6902, 6906, 6912, 6920, 6930?\nAnswer: 6942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1405 and 370135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29678353 to the power of 1\/2, to the nearest integer?\nAnswer: 5448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13429 - 13429.0275. Which is the third biggest value? (a) -5 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 231 = 3*f, 4*f - 9*f = -10. Suppose -8*z = -1 - c. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1477*n = -216*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100370 + 37791. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104 + 26 + 31 + -51.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-40 + 20 + -33 + -11)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - d**2 + 4 - 1 + 37*d + 6*d**2 - 44*d. Determine l(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 7:28 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(50)*2 + -1 + -5*(sqrt(18) + sqrt(162) + -3).\nAnswer: -50*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 7. Let m be d(-4). List the prime factors of 2\/m + 17 - 1.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 407416748 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/23)\/(x**(1\/4)\/x*x*x)*(x**(-2\/5))**(-30))**8 assuming x is positive.\nAnswer: x**(1962\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -61 + 306?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 639.69 + -648. Let d = -10.31 - l. What is the fourth biggest value in 2, d, -4, 30?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/22 and -67\/9580.\nAnswer: 105380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c**2 - 5*c**2 + 15*c**2 in the form n + w*c**2 + y*c and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4272743, -8545483, -12818223, -17090963, -21363703?\n\"Answer: -4272740*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 19*x**2 + 22*x - 37. Let t = 120 - 100. Let i be u(t). Solve -i*c = -2*j + 6, 0*j = -2*c + j - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171109985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2402? (a) 0.02 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*b - 3*b + 224, -5*b + 560 = 5*y. Let x be y\/18 + (-6)\/27. Suppose -s + x*s - 50 = 0. Calculate the least common multiple of s and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5089027 to the power of 1\/2, to the nearest integer?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 + -130. Let y be (-9)\/((-3)\/4*2). Suppose k + 70 = y*k. Calculate the remainder when h is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -590.2 * 5.11.\nAnswer: -3015.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, 26, 309, 612, 941, 1302, 1701, 2144?\nAnswer: 2637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w - 23. Let p be o(7). Let l = p + 36. Calculate the greatest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 less than or equal to 596\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + b - 3027, -x - 4*b - 669 = 109. Let p = 3751 + x. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 85*p + 20. Is n(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -2)*(-4)\/2. Let q be (-1 - 0)\/(t\/(-2)). Let g be (21\/(-15))\/q - -2. Which is the second biggest value? (a) g (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5 = 2*l, -4*l - 1 = 5*k - 0*l. Suppose -2*h - 1 = -k. Find the common denominator of -19\/4 and -2 - (69\/(-66) + h).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*x - 2344, a - 3124 = -35*x + 39*x. Which is smaller: x or -2341\/3?\nAnswer: -2341\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 10*i**2 - 2 - 3074*i**3 - 10*i**2.\nAnswer: -3074*i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 9. Let a = 2.2 - m. Let r = 0.3 - a. What is the closest to r in -1\/6, -4, -0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - 1 - (-18 + 25) - 6.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 9 + 9)*(2*g**5 + 4*g**5 - 2*g**5).\nAnswer: -168*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 - -9 - 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlhldh. Give prob of picking 1 l and 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 4*s**2 - s - 4. Let w(h) = -6*h + 5. Let v(y) = -1. Let p(g) = 6*v(g) + w(g). Let f be p(-2). Suppose -1 = 4*q + f. Calculate n(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 4e823?\nAnswer: -4e81d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -128940, -129183, -129588, -130155, -130884, -131775, -132828?\n\"Answer: -81*n**2 - 128859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2259614 is divided by 3067?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 247 + -2027?\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3149 and 52593.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + 1 + (-217)\/(-7). Suppose -17*x + 43263 = y*x. What are the prime factors of x?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -2*t - 18, 8*l - 3*l = -4*t + 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -180 + 175. What is the lowest common multiple of (10 + 0)\/((-4)\/(-10)) and -4 - 1 - (i + 7\/(-7))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -412, -827, -1576, -2773?\nAnswer: -4532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21578503 (base 9) to base 2\nAnswer: -100111110101111111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 22*n + 7. Let a = -44 - -33. Let d be c(a). Suppose -2*q + 5*x = 16, d = -5*q - 5*x + 2. Let h(z) = 2*z**2 + z - 1. Calculate h(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -211*p - 5231. Give i(-25).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + -19. Let l = n + -70.6. Let t = l + 1.72. Round t to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15)*(-2 - 7\/(-2))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 230 = 31*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39536, -39465, -39346, -39179, -38964, -38701?\n\"Answer: 24*a**2 - a - 39559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -298 not equal to -368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -1 + sqrt(432) + -5)*-4.\nAnswer: -96*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.1 (c) 5 (d) -5 (e) -0.005 (f) 0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b**2 + 2 + 12*b**2 - 2*b**2 - 4. Let s(x) = -3*x**2 + 2. Determine 2*a(p) + 3*s(p).\nAnswer: -5*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -4804.\nAnswer: 9608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*v - 12, 3 = -z + 4*v + 9. Suppose 3*n - 3 = p + 2, z*n - 2 = p. Solve 2*u = -5*w - 3*u - 10, p*w - 2*u - 22 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1690 + -2230.\nAnswer: -3920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 7:56 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.67 - -8.67. Let h = x + -8. Which is smaller: h or 0.48?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53671482 is divided by 1441.\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-4*(-1 + sqrt(68)))**2 + (sqrt(68) - (sqrt(68) + (-1 + sqrt(68) + 1 - sqrt(68)))) - -5*(-1*sqrt(68)*1)**2).\nAnswer: -384*sqrt(17) + 8664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 35*w**2 + 38*w + 83. Let s = -414 + 378. What is the smallest common multiple of 22 and f(s)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -25, -4\/7, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 14*x**2 + 655*x + 7562. What is y(-22)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 5, -3, -194, 0 in descending order.\nAnswer: 5, 4, 1, 0, -3, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 70485 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 5, o: 1, x: 1, r: 1}. Give prob of sequence ol.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -203089713 + 203089713 + 3044*h to x*h + r and give x.\nAnswer: 3044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -404*a**3 + 24*a**2 + a.\nAnswer: -2424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 597823409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(5) + -1 + sqrt(5) + sqrt(5))*1 + -3.\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08 + 0.58206.\nAnswer: 0.66206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + 2*k**3)*(k + k - 4*k) + (-k**2 + 2 - 2)*(21*k**2 - 6*k**2 + 15*k**2).\nAnswer: -34*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -15*j**2 + 2*j + 19*j**2 - 5*j**2. What is q(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4796557 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: Let s be (-12)\/513*6\/2. Let q = s + -100\/19. Find the common denominator of (184\/(-18))\/(-2) + -2 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from jjjjkjjjjjjnjjjnj.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3627127051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33077 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 121 = -r + 410, r - 284 = 4*m. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5419 = 2*f + 5*a, -1622 = -f + 2*a + 1101. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 21343.\nAnswer: 1\/21343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 4*u - 5*b - 16 = 0, -4*b = 4*u + 32 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -7. What is the remainder when 4\/(6\/159 - 0) - -4 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p**2 + 3*p - 4*p + 12*p**2 - 3*p**4 + 4 + 2*p**3 to u*p**2 + d*p**4 + y*p**3 + h*p + o and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71651 and 411.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -3 - 0\/2. Let i be 9\/(-3)*(-2)\/(-2). Let w be (10\/3 + i)*0. Are a and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*y + 150*y + 1116*y as l*y + w and give l.\nAnswer: 1220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 63126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*a - 135*a + 2 - a**2 + 0 to the form q*a**2 + c + y*a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(126\/35)*(-4399)\/415.\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 102 (c) 0 (d) -36\/25 (e) -0.08 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 136 = 4*c + 152, -5*f - 5*c = -15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, -12348, 2 in decreasing order.\nAnswer: 2, -3, -11, -12348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 75*x - 13. Let y(b) = b. Let g(c) = -h(c) + 2*y(c). Is g(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g. Suppose g = -7*u + 3489 + 1061. Does 8 divide u\/15*(-12)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:24 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/126 and 129\/28730.\nAnswer: 1809990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*q = -0*t - 50, -4*t - 3*q = -75. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 748477 (base 9) to base 13.\nAnswer: 127bc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -q + 60, 5*q = 3*r - r - 51. Suppose 0 = 84*m - 4352 - 1024. What is the remainder when m is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -137 + 3558?\nAnswer: 3421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (9 - (3 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*-1 + 84\/21. Factor 0*x + 1\/3*x**5 + 0*x**h + 0 + 1\/3*x**4 + 0*x**3.\nAnswer: x**4*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3415 times -0.2?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -17*k**2 - 9*k - 9. Let y(r) be the first derivative of -4*r**3\/3 - r**2 - 2*r + 1. Let t(s) = 2*o(s) - 9*y(s). Let a(b) = -11*b**2. What is a(t(x))?\nAnswer: -44*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38168 and 47710?\nAnswer: 190840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-7)*10)\/(((-20)\/2)\/5).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (206\/(-2))\/((-2)\/1602). Suppose -f = 4*m + 1313. Let s = m + 34954. Round s to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2542402317 - 1136.\nAnswer: -2542403453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/4 - 19*x**3\/3 + 15*x**2\/2 - 9*x - 9225. Determine y(18).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 12. Let y = 312 + -576. Let h = y + 264. Which is the nearest to -2\/7? (a) j (b) h (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982206763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102121644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*k**3 + 177 - 177 + 0*k**3 + 3*k**3 - 7*k**3 + (2 - 4 + 0)*(5*k - 5*k + 3*k**3).\nAnswer: -42*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*a - 3. Let j(t) = 11*t**a + 24 - 50 - 2*t + 25 - 2*t**2. Give j(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -6, 17, 27\/8, -11 in ascending order.\nAnswer: -11, -6, -0.7, 27\/8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*r**3 - 23 + 23.\nAnswer: -51*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37709401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.2, -7, -5095, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84172923 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87863189497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13504.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782*l - 15210 = 11743 + 5891 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65442187, -65442186, -65442185, -65442184, -65442183, -65442182?\nAnswer: -65442181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*x = 176*x - 3472. Suppose 4*i = 2*i - 2. Which is the closest to i? (a) 2\/7 (b) x (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3 + (-3 + 0 + 4)*(3 + 3 - 5) - 7 + 3 + 2)*(3*w + 4 - 4)*(-97 + 60 + 160)*(0*w**2 - 2*w**3 + 0*w**2).\nAnswer: 2214*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 7*p**5\/60 - 16*p**2. Let k(w) = -2*w**2. What is j(k(m))?\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -217.5491 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*12\/(-1071)*2\/8*6.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5925*u - 124425. Calculate c(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 32 = 5*w, -6*w = -w + x + 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5513534 and 424118?\nAnswer: 5513534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 105*u**2. Let c(i) = -76226*i**2. What is k(c(r))?\nAnswer: 610092322980*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 17*o**2 + 4*o - 15. Calculate the remainder when 316 is divided by y(17).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 - 57. Suppose 2*l = -l + 5*n + j, -11 = -2*l - n. Let q(i) = 3*i**3 - i**2 - 2*i + 1. Calculate the remainder when q(2) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173251\/219120 + 1380\/913. Find the common denominator of t and 157\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 6:08 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 1409?\nAnswer: -1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - -3) + -4 - 3) + 11 - 44\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 3:33 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 52.45979 decades?\nAnswer: 5.245979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 - 737\/5. Let t be (-6 - -8)\/(-1 - 5). Which is the closest to t? (a) 1 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1212?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*m - 22, 2*u + 4*m + 20 = 3*u. Suppose -5*b - u = d, -3*d = 2*d + b. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 1157, 2652, 4767, 7508?\nAnswer: 10881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9117\/7 + 1302. Which is the biggest value? (a) 4 (b) 0.2 (c) w (d) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 451575.\nAnswer: 451573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2392.13058 to zero decimal places.\nAnswer: -2392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -187*p + 5659. What is m(30)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*d + 2*g, 7*g + 39 = 2*d + 2*g. Calculate the remainder when 39 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**3*g**2*n - 4*c**3*n + 8*c**2*g**2*n - 3*c**2 + 4*c*g**2 wrt c?\nAnswer: 18*g**2*n - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*f = 9222, -2*y + 2*f + 5530 = y. Suppose 6*h = y + 338. List the prime factors of h.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 + -181. Let l = -52.0105 - h. What is l rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7360, -27675, -61524, -108901, -169800, -244215?\nAnswer: -332140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 33, 372, 2 in descending order.\nAnswer: 372, 33, 31, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1915.\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g**2 - 4*g - 23. What is t(4)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25545932403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 104 + 3.956779\nAnswer: 107.956779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168121812*k**3 - 91008*k + 586 wrt k?\nAnswer: 1008730872*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51058)\/2084)\/(21\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**4\/24 + 7*p**3 - 2*p**2. Let w be -3 - (18\/5)\/((-18)\/90). Does 9 divide b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(10\/11)*q**(-8)*q)**20)**(-1\/4) assuming q is positive.\nAnswer: q**(380\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44 + (6\/(-15) - (-14)\/10). Let y = p + -42. Solve 4 = -2*f + y*v, 3*v + 0 + 16 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 686*z - 6177. Let i be h(9). Let n(p) = -29*p**2 - 4*p + 3. Let d(y) = 28*y**2 + 5*y - 4. Calculate i*n(g) - 2*d(g).\nAnswer: 31*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 + 83*q + 10. Determine t(-21).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**5\/5 - 28*x**4\/5 - 76*x**3\/5 - 20*x**2 - 64*x\/5 - 16\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-1)\/30 - ((-8733)\/(-1230) + -33)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 123, 160, 205?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2012*z - 144880 - 92536 = 0 for z.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**2*r**2 + 816*o**2 + 37*o*r**2 + 3*r wrt r?\nAnswer: -2*o**2*r + 74*o*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21 and -26453.\nAnswer: -26432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386*d - 1500231 = 1475057. Is 50 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/84 + (-3)\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h - 3*h)*(1 - 4 + 4 + 1 - 1 - 1 - 4 + 1 + 1 + (1 + 3 - 1)*(-1 + 0 - 5))*(3 + 2 - 7)*(-1 + 2 - 3)*(-4*h + 2*h + 4*h).\nAnswer: 320*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/6, -450\/7, 3, -2604, -1, 0.2?\nAnswer: -2604","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**3 + 2*s**2 + s + 3. Let t(i) = 5*i**3 - 2*i**2 - i - 3. Let h(u) = 4*a(u) + 3*t(u). Let n be h(2). Suppose -n*m = -90 - 835. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**3 + 2*s**3 - 6*s**3)*(347673 - 347673 + 1813*s) as j + f*s + c*s**3 + r*s**2 + g*s**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 5) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -179, 4 in ascending order.\nAnswer: -179, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 2207.\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4839227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2 - 3\/(-6). Is 24\/(-6) + (1105 - u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 336 + -311. Suppose r*o - 10503 = -1678. What are the prime factors of o?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47006?\nAnswer: 2, 19, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518552\/16 - ((12 - 6) + 15\/(-2)).\nAnswer: 32411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.00984 - 4.99016. Sort -358, -0.5, c, 1\/6 in descending order.\nAnswer: 1\/6, -0.5, c, -358","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 37*g + 11. Let c be z(5). What are the prime factors of 3\/(3 - 576\/c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 7:03 PM?\nAnswer: 268","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 0.3. Let h = -11 - -12. Are h and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112328217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 24*y + 490. What is d(-21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**4 + 22321995*n**3 + 22321989*n**2 - 22321995*n - 22321992 = 0.\nAnswer: -7440664, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -324, -48, 622, 1686, 3144?\n\"Answer: 197*v**2 - 315*v - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 70, -0.3, -2\/7, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 + 3 = 0. Let n = 9 + l. Suppose 7*k = 25 + n. Solve 5*v + 4*h - 30 + k = 0, 3*h - 10 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 a factor of 4292687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.08 + -2. Let g = n + 5.92. Let r = -4 + g. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y - 3*b - 124 = 0, 5*y - 2*b = 126. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -0.3 (c) 3 (d) -377\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(-9)*s)*s**(-4))\/(s**(1\/4))**(-30))**(6\/25))**15 assuming s is positive.\nAnswer: s**(207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 - 36108*l\/11 + 162973458\/11.\nAnswer: 2*(l - 9027)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51*207\/(-1173) + (-107)\/(-12)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 768.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + z**2 + 3*z + 2. Let y(a) = 2*a**3 - 8*a**2 - 23*a - 8. Give 4*c(q) + y(q).\nAnswer: -2*q**3 - 4*q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16023)\/(-357) + (-2)\/(-17) - 10. Solve 4*p - y = -5*u + 6*p, -2*p = 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4228690?\nAnswer: 2, 5, 422869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*k + 2*k. Let a = -2 + k. Suppose 3*l - 15 = -a*l. Solve -l*u - 1 - 11 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686*m - 3 + 0 - 671*m + 7 + 1360*m.\nAnswer: 3*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20, 0.19, -0.5, -8\/13?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 273*a - 1527. Let l be q(6). What is the greatest common divisor of 3256 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 16 - 34. Suppose 14*s - 16 = 10*s. Solve -i - v = -s*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 3. Suppose -3*l = -w, 2 = -f + 4*l + 4. Calculate the remainder when 10 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4458 + 1464 + f + 1486 + f + 1470. Determine u(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551093456 to the power of 1\/2, to the nearest integer?\nAnswer: 23475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 35*y + 6. Let h be q(1). Let d(i) = i**2 - 29*i - 3 + h*i - 3. Suppose 0 = p - 29 + 41. Determine d(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/7)*k*k)\/(k*k\/(k\/(k\/(k**12*k))))*k*k\/((k*k**(-2\/29))\/k)*k*k**(-3) assuming k is positive.\nAnswer: k**(2566\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44, 486, 1684, 4016, 7860?\n\"Answer: 63*f**3 + f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/b**(-4\/5)*b)*b)**17*b\/(b**(-14)\/b)*b*b**7\/b*b assuming b is positive.\nAnswer: b**(137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(2*y**2 - y**2 - 2*y**2) - 5 - 2*y**2 + 5 + 0*y**2 - y**2 - 4*y**2 + 2*y**2 - 20*y + 20*y to z*y**2 + m*y + j and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnrn. Give prob of picking 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123193610.99173 + 123194185. Let i = -102.7 + 676.7. Let w = i - s. What is w rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(4\/5)*b**(5\/3)*(b*b**(-4))\/b*b**(-4\/3)*b**8*b*b\/(b**1\/b*b)*b*b*b*b**(2\/25)\/b assuming b is positive.\nAnswer: b**(676\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664407319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109442 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*a + 16 = 0, -9*r + 5*r - 4*a + 8 = 0. Is r smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z - 35 + 1 = 0. Let r = 0.1 + 0.4. What is the nearest to -1 in 2\/3, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11360, 22701, 34042, 45383, 56724, 68065?\n\"Answer: 11341*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46528 smaller than 46560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 - 150\/(-39) - (-27346)\/198198?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/27 in 8, 1, 109, -0.1, -1.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/70 + 247\/1330. What is the third biggest value in 1.7, i, -2\/13, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 less than 57.67?\nAnswer: -190.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -841 - -891. Calculate the least common multiple of 60 and g.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 + 15 = 23*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177*m**3*r**4 + 3*m**3 + 55*m*r - 24*r**4 + 15*r**2 wrt r?\nAnswer: 4248*m**3*r - 576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 20*b**2 - 13*b + 145. Does 26 divide f(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 160. Let h be (-1369 - (-8 - -4 - -1))\/11. Let s = w + h. Which is the smallest value? (a) -0.4 (b) -5 (c) -2\/3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1804)\/41)\/(((-10)\/(-40))\/(2\/8))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 5, 3, -3.11, -0.5?\nAnswer: -3.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-93)*13*(-42)\/(-364).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -25*y + 54. Let w be g(2). Solve -p = -5*f - 5, 2*p + 28 = -w*f - 2*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 89478.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(3888))**2 - sqrt(3888)) + 0 + (sqrt(27) - sqrt(27)*2) + -4.\nAnswer: -39*sqrt(3) + 34988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.46 + -0.79. Let y = c - -0.3284. What is y rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -180, -419, -764, -1221?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3\/5, -31, 6, 3, 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 3*i**3 + 0*i**3 + (-2*i**2 - i + i)*(-i - 3 + 3) + 0*i**3 + i**3 + 0*i**3 - 2*i**3 - 2*i**3 + 2*i**3)*(-3*i + 2*i + 0*i).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821334649 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: Collect the terms in 2 - 80880*j**2 - 2 + 80882*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -9. Let n = -3.1 + 3. Which is the nearest to 1? (a) n (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -5, 79.8 in decreasing order.\nAnswer: 79.8, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 40. Let f be ((-2)\/c + 1)*3. Suppose -4*k + 1 = o - 2, 3*o - f*k + 59 = 0. Which is bigger: o or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 1\/32, 323, 5?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 19*p - 5476 = 0. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66780 is divided by 1284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(32)\/sqrt(2))*-2 - (-2 + 5*sqrt(8)\/sqrt(4))**2*-3.\nAnswer: -61*sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 16) to base 7.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Simplify ((sqrt(11)*1*4 - (sqrt(11) + sqrt(99) - sqrt(11))*2)*5)**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 26*x**2 + 19*x + 167. What are the prime factors of q(24)?\nAnswer: 19, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 - 4*j**2 - 6*j + 4. Let s(g) = -g. Let z(b) = p(b) - 2*s(b). Find y, given that z(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7836 is divided by 299?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -22. Solve l = y - 0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = -4*j. Let p(l) = -13*l**3 + 4*l**2 + 6*l - 1. What is the hundreds digit of p(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 7. Let b be 4\/4*l\/(-4). Is ((-18)\/4)\/(b\/2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.7 (b) -0.3 (c) 6 (d) -0.5 (e) 2\/5 (f) 1\/2 (g) -603\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -585, -903, -869, -207, 1359, 4105, 8307?\nAnswer: 14241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2 + (-4 + sqrt(1900) + 2)*3 + -4)*1 + -4)**2.\nAnswer: -960*sqrt(19) + 17358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 189*n**5\/5 + 1033*n**2\/2 - 1132. Find the second derivative of j(f) wrt f.\nAnswer: 2268*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6182 != 6179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3\/15 - 426*h**2\/5 + 428*h\/5 + 512\/3 = 0.\nAnswer: -640, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Let b(j) = -3*j**2 - 2*j - 1 + 0*j + 2 - n*j**3. Let q(v) = 7*v**3 + 5*v**2 + 3*v - 2. Calculate 5*b(x) + 3*q(x).\nAnswer: x**3 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 357, 1404, 3139, 5562, 8673?\n\"Answer: 344*a**2 + 15*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(26)\/sqrt(2))**2 - (-1 + sqrt(13))*-4.\nAnswer: 4*sqrt(13) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2 = 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -745\/204 - -41\/12. Is o greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 58. Let l = -33 + s. Suppose l = -4*n + 13*n - 18. Which is smaller: 4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346725965 to the power of 1\/3, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -31*m**2 - m. Let h = 596 + -595. Give y(h).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 39*q**2 + 21*q - 35. Determine o(-20).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-two fifths of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2959 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10324040399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*b**2 + 72 + 94 - 134 wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/5)*o**4)\/((o**(-3\/2)\/o*o)\/o**(-1)) assuming o is positive.\nAnswer: o**(51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132309 > 3132292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 683770651554 + -184240634518900559\/269448. Let g = -1\/11227 - d. What is the common denominator of g and -11\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54744 is divided by 152?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7767330 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.90576951 to 1 decimal place.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 9*q**2 - 2*q + 6. Suppose -30 = 6*a - 11*a. List the prime factors of o(a).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 31 = 820. Let x = 500 - r. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 2. Suppose 0 = 5*z + 4*i - 18, -2*z - 2*i - 14 = -20. Let q(a) = 5*a - 11. Give z*q(n) - 33*k(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/6688*19*2*(-4)\/12.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (6 - 10) + (4 - 4) + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5762 is divided by 1682?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4 - x**2 - 3*x - 2*x**2 - 1 + 4*x**2. Let z be q(5). Solve -z*d - 1 = 3*u - 16, 0 = 4*d - 3*u - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 38. Let m = -11 + d. Let x = -4.79 + -0.21. Sort m, x, 1 in descending order.\nAnswer: 1, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 2165?\nAnswer: -2165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000279395058 rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**4 + 36*k*m + 3920*m wrt k?\nAnswer: 8*k**3 + 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, l: 7}. Give prob of sequence ll.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334, 676, 1020, 1366, 1714, 2064, 2416?\nAnswer: 2770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 161*p**2 + 26*p + 86. What is the thousands digit of s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 9. Let c be j*(-1 - (-5)\/3). Suppose 0 = -2*d - c*t + 510, 3*d - 224 = t + 557. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23120 and 152.\nAnswer: 439280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1035*u - 2965. Give r(3).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -317?\nAnswer: -12.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (33 + -79 + 34 + -12 + 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 15) to base 10\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -161030, -161047, -161064?\n\"Answer: -17*x - 161013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371, 741, 1111?\nAnswer: 1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43)\/(516\/(-360)))\/((-279)\/372).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2286)\/(-24) - (-6)\/8. What is the common denominator of 2 - (-524)\/(-88) - 0 and (-26)\/10*200\/g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 130\/14 - (37 + (-114 - -86)). Factor -2*f**3 + 20\/7 - n*f**4 - 58\/7*f + 54\/7*f**2.\nAnswer: -2*(f - 1)**3*(f + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*d**2\/6 - 2140*d\/3 + 4450\/3.\nAnswer: -5*(d - 2)*(17*d + 890)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 94*a**2 + 13*a - 6. Let g(p) = -94*p**2 - 13*p + 7. Let q(l) = 5*g(l) + 6*w(l). Find the second derivative of q(j) wrt j.\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -25 + 19 + (-1 - -317). Calculate the greatest common factor of 40 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 14*h + 412 - 205 - 195. What is the thousands digit of d(-43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 901599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*d - 32. Solve 13 = 7*x - 3*x - s, -x - d = -4*s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 262*d**3 - d. Let w be q(1). Suppose 755 = 2*l + v + w, -247 = -l - 2*v. What is the remainder when l is divided by (45\/6)\/(6\/40)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 4:47 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:43 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136 a factor of 5094472946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + -1)\/1 + 0. Suppose i = -3*x + 14 + 1, -4*i - 5*x + 25 = 0. Solve 0 = y*j - 2*f - 21, 4 = 2*j - 3*f - i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 14. Let t be 106\/8 - w\/48. Solve -3*x + 3 = -4*k - 0, -5*x + t = -4*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-48) - (2 - 70\/12). Suppose 0 = 2*j - u*j + 218. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 88 = -3*f, -2*r - 4*f - 23 = -67. Suppose -q + 14 = -r. Calculate the remainder when q is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -11. Let i(y) = y + 8. Let d(p) = -p - 7. Let v(j) = 7*d(j) + 6*i(j). Let r be v(c). Solve r - 27 = 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.566678mg in nanograms?\nAnswer: 8566678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + k + 2)*(3 - 1 - 13) + 2*k + 4 - 2 - 4 in the form l + d*k and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 100*o**3 - 3*o**2 + 19*o + 19. Give w(-1).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155 + 104. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010100100111 (base 2) to base 16\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 13 = f - 3, 0 = -4*f. Let d(o) = o**2 + 4*o + 6. Let q be d(-4). Let i be (3\/(-3))\/(-2)*q. Sort -1, b, i in decreasing order.\nAnswer: i, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-35032756.\nAnswer: -490458584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 240*w + 226*w.\nAnswer: 469*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 27*q + 168 - 253 - 28*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -3230031232?\nAnswer: -3230031330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70.06 + -72.879. Let c = f - -2.8. Round c to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-158)\/(-395))\/(11\/(198\/(-4)))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and 16591 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19119393?\nAnswer: 3, 2124377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27360 and -4.\nAnswer: 109440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-14881)\/(-3174) - (3 - 105\/(-63))\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c2 + 216b?\nAnswer: 2760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*x**3 - 20*c*x**2 - 269*c + 5*x**3 - 257*x**2 - 29 wrt c.\nAnswer: -2*x**3 - 20*x**2 - 269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + 543*m - 24389. Determine b(98).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 954987255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/(-210))\/((-31)\/12))\/(-3*2\/(-15))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = 36. Suppose l + k = 44. Solve 0 + 12 = -3*v, 2*v + l = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/(4\/(-816)). Let p = 102 + t. Solve 3*m + 10 = r, 4*m - 2*r + 16 = -p*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/5 - (-9)\/5. Suppose -i + 21 + 6 = h*d, 4*d + 79 = 5*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5712216 and 16660630.\nAnswer: 199927560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001000111111 + 101000?\nAnswer: -100001000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/15, 3, -7, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 20, 21, 20?\n\"Answer: -x**2 + 6*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*f - 6. Suppose -f*b = 1 - 21. Solve 2*h + b = -5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5092.392 kilograms?\nAnswer: 5092392000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 136*c + 31. Let m be q(8). Calculate the common denominator of (-2)\/10 + m\/(-330) and (3\/2)\/(1*-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 5342411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 121956000 to the nearest 1000000.\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4984.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*s - 99873 - 81658, 0 = s - 3*l - 36303. Suppose -8*o - 11002 = -s. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 465*g**2 - 40747*g + 40749. Calculate l(1).\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**(1\/18))\/q*q)**44\/((q*((q*q\/(q*q*q**1)*q)\/q*q*q*q*q)\/q)\/q*q**(-2\/41)) assuming q is positive.\nAnswer: q**(30850\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -11aaa7?\nAnswer: 120008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1007 or -490?\nAnswer: -1007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2456221 is divided by 2456168?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7710, 3, -2 in increasing order.\nAnswer: -7710, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12608 divided by 394?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68256035 + -0.14.\nAnswer: -68256035.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 4*t**2 - 12*t. Let d be v(-6). What is d rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.8 - -14. Which is the smallest value? (a) 0 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 14. Let s = b - -18. Let n = s + -1.8. Put 10, n, -0.3 in decreasing order.\nAnswer: 10, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-748)\/(-176))\/((-1)\/(-4)). Let u(v) = v**3 - 4 - 9*v**2 - 18*v + 19 - 7*v**2. Let j be u(d). Sort 5, j, 1 in descending order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1006*g**3 - 2660*g**3 + 634*g**3 + 3 + 1007*g**3.\nAnswer: -13*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3 = 0, -6*l + 0*t = 4*t - 42 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 69*k**2 + 45*k + 21. Let g be j(-38). Suppose -7656 = 4*y - 3*s - 41332, s - g = -y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -3 (c) 5 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 23*f + 9. Give o(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 11:14 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f7 + 55?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2*d*i - c**2 + c*d*i**2 + 6*d*i + 10*d + 3 wrt i?\nAnswer: c**2*d + 2*c*d*i + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n + 6 + 2 - 4*n. Let i be c(-6). Let y(w) = i*w + 2*w - 2*w - w. Let j(z) = -z**2. Determine y(j(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2879 times 5?\nAnswer: 14395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1587 - x - x - 3*x**2 - 1590. Let t(l) = -l**2 + 3. Let i(s) = -6*s**2 + 16. Let j(o) = -2*i(o) + 11*t(o). Give -a(f) - 2*j(f).\nAnswer: f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 910\/(-7020)*36\/56\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3396921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/5280*33)\/(2\/104).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 593 = 2*i, m + 372 = 2*i - 193. Calculate the remainder when i is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 2*a + 4. Suppose -4*o + 4 = 4*l, -o - 4*l + 9*l + 13 = 0. Let m be c(o). Calculate the highest common factor of m and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 608, 3082, 7416, 13604, 21640, 31518, 43232?\nAnswer: 56776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1205175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 v, and 1 d when four letters picked without replacement from {v: 5, f: 3, l: 6, a: 1, d: 2}.\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {a: 5, n: 3, w: 2, v: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, 118, 620, 1628, 3310, 5834, 9368, 14080?\nAnswer: 20138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434 = 1658*l - 1571*l - 871 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((5 - 3)\/(-2)) + -3. Calculate the remainder when 61 is divided by (-13)\/f*3 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 3:04 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(4 - -2) + 5. Let q(x) = 3*x - 3. Let p be q(1). Solve 3*w - 25 = 4*v - p, a*v = 4*w - 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180501423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4 + sqrt(242) + 3*sqrt(242) + -6*(2 + sqrt(242)) + 5)*3)**2.\nAnswer: 2376*sqrt(2) + 17586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 11 = -5. What is the tens digit of 5 + b - (4 - 34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-946.1465\nAnswer: 3784.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -15*l + 6. Let i be (-21)\/(-5) - (-1)\/(-5). Suppose -6 = -i*c + 46. Let g(w) = 7*w - 3. Let u(h) = c*g(h) + 6*r(h). What is u(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:08 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p + 13*p - 89*p = -2261 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 2)*(-r - 3*r + 5*r) + 2*r + 1 - 1 - 48*r + 86*r - 120*r)*(-1 + 1 + 2*r**3)*((0 - 1 + 2)*(0*r - r + 3*r) + 1 - 1 - 3*r - 3*r + 6*r + 0*r).\nAnswer: -316*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1061.29384*-0.5\nAnswer: 530.64692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -114, 24, -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110)*2 - sqrt(110)))*2 + ((sqrt(110) - -2*sqrt(110)) + sqrt(110) + sqrt(110))*5)\/(sqrt(100)\/(sqrt(110)\/(sqrt(22)\/sqrt(2)))).\nAnswer: 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 148 + 1548. Suppose 645 + b = -5*a. Let d = a + 458. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5\/8 + 14175*g**4\/8 + 170739*g**3\/4 + 1068225*g**2\/4 + 2850525*g\/8 - 5342625\/8 = 0 for g.\nAnswer: -15, -5, 1, 4749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2, 23\/5, 1.3, -4.\nAnswer: -4, -3, 0.2, 1.3, 23\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2. Let m(q) be the third derivative of 14*q**2 + 1\/3*q**4 + 0*q**3 + 0 + 0*q. What is m(k(a))?\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49101?\nAnswer: 3, 13, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7622637*m**4 - 7590*m**2 - m - 16.\nAnswer: 182943288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 10*s**2 - 3*s. Let k(x) = x**3 + 9*x**2 + 2*x - 1. Let d(w) = -3*k(w) - 2*z(w). Determine d(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -661*o + 11. Let h(s) = 233*s - 4. Let b(g) = -6*d(g) - 17*h(g). Let n(c) = 9*c + 3. What is 5*b(r) - 3*n(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*c + 10*c. Suppose 2*y = -z + 257, 9 = -y - c*y. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 = 4*f + p, p - 2 = -4. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1034*y**3 + 1058*y**2 - 1134936*y wrt y.\nAnswer: 6204*y + 2116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2122944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1186*n + 16659. Calculate a(14).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 4. Let l be 508\/14 - v\/14. Suppose -3*m + 4 = 5*g - l, 4*m = -2*g + 30. What is the greatest common divisor of m and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64937 greater than or equal to 64935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 1. Let i = -697 + 685. What is w(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100 - 100101111101?\nAnswer: -100100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.765874 milliseconds to hours.\nAnswer: 0.000012434965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -57. Calculate the remainder when 71 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 97. Let k be (-52)\/(-12)*(-3)\/(-1). Let c(l) = -37*l + 7 + 45*l + k. Let b(h) = h + 3. Give q*b(g) - 3*c(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 13*t + h = 37451, 0 = -4*t - 3*h + 37457. What are the prime factors of t?\nAnswer: 2, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 4*x + 2. Let u(q) = -15*q**3 - 1264*q**2 - 28714*q - 8098. Let k(y) = -2*b(y) + 2*u(y). Find v, given that k(v) = 0.\nAnswer: -45, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 - 38*u**2 + 8*u - 17. Calculate f(17).\nAnswer: -1037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2890? (a) 0.1 (b) -6 (c) -2\/7 (d) -2 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 293*x**3 + 2*x**4 - 293*x**3 + (2*x + 0*x - x)*(x**3 + x**2 - x**2) + x**4 + 2 - 2 to q*x**2 + p*x**4 + u*x**3 + a*x + b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + c - 1. Let r(u) = -6*u**2 + 32*u - 10*u + 7 - 2 - 13*u - 15*u. Give -5*m(v) - r(v).\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 32 = -5*l, 0 = 5*b + 5*l - 8 + 58. Let i = -281\/11550 + -39\/550. What is the third smallest value in i, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44980796041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(1\/7))*c)**(-13)\/(((c\/((c*c**(-3\/5)\/c)\/c))\/c*c)\/c)**(-1\/46) assuming c is positive.\nAnswer: c**(-11932\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/4 (b) 11 (c) -34 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3 = -3*o. Let z be 2\/o*90*1. What is the greatest common divisor of z and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 459*w**2 - 26*w + 43. Does 9 divide d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = -228*x + 116 - 229 - 539 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2143056+-96.20159\nAnswer: -95.9872844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 61. Let i = a + -7. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-48)\/90)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(608) - -3*sqrt(608)*4 - sqrt(608)))\/((-6*(sqrt(6)*2 - sqrt(6)))\/((sqrt(60)\/sqrt(4))\/sqrt(5))).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let r = 120 - 24. Let t = 99 - r. Let m(l) = 5*l + t*l - l - 4*l. Determine m(b(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 1. Let k = o + -2. Let m(y) = 10*y - 21. What is the remainder when m(5) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -582.71 + -93.29. Is 22 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 5*d - 3*d)*(0 + 1 - 2)*(-3*d**3 + 6*d**3 - 2*d**3).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-12)*(8 - 2))\/(-1). Let x(c) = -213*c - 2. Is x(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 131*l**6\/20 + l**4\/24 - 869*l**3\/6 - 76*l**2 - 2. Differentiate p(t) wrt t.\nAnswer: 2358*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*c + (0*c + c + 2*c)*(2 - 92 + 33)*(-4 + 0 + 6).\nAnswer: -344*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8707.\nAnswer: 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 3.8182.\nAnswer: 1.8182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*13\/39*(-12)\/26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -2*p**5\/5 + p**4\/6 - 7*p**3\/6 - 3*p**2\/2 - p. Suppose -51*i - 49 = 104. What is the tens digit of l(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**7\/5460 + l**6\/1170 + l**5\/780 - 71*l**3\/3 - 191*l. Let m(k) be the second derivative of o(k). Find r such that m(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.32286 centuries in months?\nAnswer: 13587.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 7. Let k = p - 27.63. What is k rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**12\/g)\/g**1)\/(g*g\/((g\/(g**(7\/2)\/g))\/g*g)*g*g**(-23)))**(-2\/27) assuming g is positive.\nAnswer: g**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14640.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 5 - 4 - 5 + 1. What is the remainder when j(7) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2504153099?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 9*a**2 + 10*a + 2. Let l be w(8). Calculate the remainder when 11 is divided by (-48)\/(-9) + 12\/l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3523 * -38.3025.\nAnswer: -134939.7075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + 4 + 6*sqrt(252))*3.\nAnswer: 4 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*v - 916, -5*v + 755 + 751 = -2*h. Let g(d) = -302 + 2*d + v - 17*d**2 - 2*d. Let m(o) = -9*o**2. Calculate m(g(y)).\nAnswer: -2601*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - k - 2. Let l be (-48)\/(-32)*4\/(-3). Let f be r(l). Suppose 42*x - 1280 = 10*x. Solve -4*s + x = f*d, 0*s - 4*s + 20 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 13*q**2 + q + 32. Let d be t(13). What is the units digit of (1 - 10)*(-345)\/d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/299? (a) -35 (b) 0.03 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -2*b**3\/3 + 1937. Let c(s) = 842*s. Give c(l(j)).\nAnswer: -1684*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyxynydfncndyy. What is prob of sequence cd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3387437, -3387438, -3387439, -3387440, -3387441?\nAnswer: -3387442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21626562 and 18022135?\nAnswer: 108132810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4554805, 4554850, 4554881, 4554892, 4554877, 4554830, 4554745, 4554616?\n\"Answer: -z**3 - z**2 + 55*z + 4554752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/3 - (1 + -6 - -2*1). Solve 3*b + 5 = 4*n, 2*n - 6*b + t = -8*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = 5*o - 227, -5*l - 144 = -3*o. What is the remainder when o is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*l + 290 - 963 = 0, 3*k - 5*l - 2063 = 0. Let u = 1322 - k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1561.0004331 + 1561. What is q rounded to 5 decimal places?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102304679*b**2 + 541357195.\nAnswer: 204609358*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6976*j + 4365 = -6879*j for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 + 4 = 0. What is the remainder when 24 is divided by (-27)\/u*4\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -3)\/(-3 - -6 - 2). Which is bigger: z or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9533, 9535, 9537, 9539, 9541, 9543?\n\"Answer: 2*m + 9531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -30 in decreasing order.\nAnswer: 0, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 8*n**2 + 12*n + 2. Let d be k(-6). Solve -d*u - 4 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-9))\/(y**(2\/7)\/y))**(-40))**(-10\/3) assuming y is positive.\nAnswer: y**(10000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526566 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 39*j + 15 + 29\/2*j**2. Find the first derivative of x(d) wrt d.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132143 (base 13) to base 9.\nAnswer: 773162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w = 24. Suppose 3*s - w - 129 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -54*j - 4277. Calculate y(-85).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21\/112*(-4)\/(-21)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 280 - 186. Let u = -586.8 - -587. Is z at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 370.35 - 370. Let y = -0.15 - b. What is the nearest to -2.9 in -2\/9, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 72*a = 75*a - 10, 3*a = -d + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 9\/10, -5, -0.5?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92625 + -458123247\/4946. Is 1 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -45*h - 13. List the prime factors of y(-7).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -9. What is the remainder when g is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8803488 is divided by 109?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, -1, -22 in ascending order.\nAnswer: -22, -1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 18 = 3*d + 19 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -163*q**3 + 9*q**2 - 5*q - 4. Let m(d) = 110*d**3 - 6*d**2 + 3*d + 3. Let b(n) = -7*m(n) - 5*z(n). Let y be b(1). Is 5 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by 2469?\nAnswer: 62\/2469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 523790*c - 58202295.\nAnswer: 5*(c - 104869)*(c + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1480 and 7243157.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 282 + -278. Suppose 5*z - 4*w + 650 = 8*z, s*w = 20. List the prime factors of z.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:54 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -5*k**2\/2 - 39*k - 7. Let s be h(-15). What is the highest common factor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.22 (b) 3 (c) 4 (d) 1.6 (e) -4 (f) -2\/181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1, 1\/3, -94\/11, 2.18, 2 in increasing order.\nAnswer: -94\/11, -1, -1\/6, 1\/3, 2, 2.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p + 1. Let n(g) = g**3 - 18*g**2 + 18*g - 2. Let d be n(17). Let h(u) = -4*u + d*u - 10*u - 1. Let o = -239 - -233. Determine o*h(s) - 5*j(s).\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -285 divided by 2510\nAnswer: -57\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.19, -3.9723, 4\/7, 2 in increasing order.\nAnswer: -3.9723, 0.19, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -480791?\nAnswer: -48077b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2\/4 + 417*c - 7573455\/4 = 0.\nAnswer: -1891, 1335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 137555 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1882\/3 - -627. Let t = -58 + 58. Sort t, c, -0.4, -7 in decreasing order.\nAnswer: t, c, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + -5 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + i**2 + 13*i + 50021. Is z(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 0*h**2 + 1\/6*h**3 + 0 + 13*h. Let b(k) = -k + 291. What is b(g(n))?\nAnswer: -n + 291","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55.4 - -56.16. Let o = y + -0.56. Which is the fourth smallest value? (a) 1\/6 (b) 4 (c) o (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 972*u**2 - 4 + 2*u - u**3 + 11 - 4 + 966*u**2 to z + w*u**2 + h*u + m*u**3 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990811?\nAnswer: 17, 167, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119*k**3*x**2 - 127*k**3*x wrt x.\nAnswer: -238*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:02 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 400599346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20015 - 572. Suppose 0 = 14*c - 10195 - d. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001959 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 51096?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 642*u**2 - 2*u - 6. What is the units digit of v(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**2 - 4*t - 13. Let h(o) be the first derivative of o**3 + o**2 + 7*o - 7963. What is -11*h(z) - 6*s(z)?\nAnswer: -3*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.11 + 0.61. Let i = 15 + j. Let h = 3 + -2. Which is the closest to 0.3? (a) 0.2 (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Suppose -j*p + 9 = p. Calculate the remainder when 9 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 158\/6 + (-6)\/(-9). Suppose -r = -2*g - g. Calculate the remainder when 17 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.7148231 to 1 decimal place.\nAnswer: 28.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b. Let p(g) = 92*g**2 - 12*g + 5. What is q(p(c))?\nAnswer: 368*c**2 - 48*c + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -29\/2. Let x be ((-40)\/14)\/(-5) - (-12)\/28. Which is the fourth biggest value? (a) x (b) l (c) -3 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - -1. Let h(w) = 2*w - 3. Let n be h(3). Let o be n\/6*(0 + -5). Sort -4, o, u in descending order.\nAnswer: u, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1575*b - 810*b - 143*b)*(-1 - 5 + 4).\nAnswer: 5056*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2163.\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = 26. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4) + 1)**2 + (sqrt(1584)*2 + sqrt(11))**2 + 6*sqrt(33)\/(sqrt(3) - sqrt(3)*3).\nAnswer: -sqrt(11) + 6887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 312396 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911235175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -311\/790 + -1\/158. Let t = 0.01 - 7.01. Let j = -40 - -40. Which is the nearest to h? (a) 5\/2 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 16952.\nAnswer: 16952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 3*p**2 - 271*p**3 + 138*p**3 + 156*p**3.\nAnswer: 23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3977 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3892 is divided by 229?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**2\/2 - 45*v\/2 + 114 = 0?\nAnswer: -19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 101*s**4 + 64*s + 5. Let u(i) = -101*i**4 - 63*i - 4. Let z(d) = 4*g(d) + 5*u(d). What is the second derivative of z(f) wrt f?\nAnswer: -1212*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13, 10, 275.\nAnswer: -13, -2, 10, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 371413526*v + 2344406.\nAnswer: 371413526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 - 8*j - 1. Let x(a) = 15*a**2 + 40*a + 5. Calculate -11*r(d) - 2*x(d).\nAnswer: 3*d**2 + 8*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 637 + 287 = 0. Let z(g) = g**2 - 3*g + 4. Let n = -13 + 23. Calculate the remainder when z(n) is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1560 (b) -1 (c) -0.04 (d) -3\/5 (e) 14 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u - 3272. Let j = u - 405. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 284 = -570 + 259 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*g + 27 + 33. Sort g, -3, 0.\nAnswer: -3, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 3:14 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) -52\/19 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7563 or 0?\nAnswer: 2\/7563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {a: 6, l: 3, o: 2, e: 2, p: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, -5\/2, 1 in descending order.\nAnswer: 1, 6\/7, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 7 + 0*w + 4. Let t be 1\/(2\/14*-1). Let u be n(t). What is the greatest common factor of 12 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kilkrilctkkc. Give prob of picking 2 l and 1 r.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8373492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*b - 64, -3*b - 16 = 2*r - 0*b. Let o be ((-4)\/(-6))\/(r\/(-105)). Solve -o*l - 12 = 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/7*m**2 + 6\/7*m - 3\/7*m**3 + 0 = 0. Calculate m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 18516848?\nAnswer: -18516848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v - 10. Let w(u) = -u**2 + u. Let m(b) = -b - 1. Let r(o) = -2*m(o) - w(o). Calculate r(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 16 = 3*q. Suppose w + 37 = -2*w + 5*o, -q*o + 4 = 4*w. Is (-644)\/(-12) + w\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**7\/630 + x**6\/90 - x**5\/10 - 17*x**4\/24 + 13*x**2. Let s(o) be the second derivative of b(o). Factor s(u).\nAnswer: 4*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/2 - -2)*-1. Let u(m) = -m**2 - 13*m + 15. Let q be u(-14). What is the third derivative of p**4 + p**2 + q - b wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2895 divided by 15\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -37. Let w = c - 44. Let q = -13.964 - w. What is q rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14529 (base 12) to base 11.\nAnswer: -1a37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(325) + 1 - sqrt(325)) + (sqrt(130) - -1*sqrt(130))\/sqrt(10)).\nAnswer: 1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3 + sqrt(720) + 0 + sqrt(720))*5)**2*6.\nAnswer: 108000*sqrt(5) + 2166750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 22 = 3*u + 2*r, -4*r = 3*u - 24. Suppose -4*c + 372016 = u*g, 2*c - c = 4*g - 371991. Let a be g - 1\/(-3)*3. Round a to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 107624*r + 723932836.\nAnswer: 4*(r - 13453)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 488\/5. Let n be (-5)\/(-12) - (-15)\/(-90). Which is the nearest to n? (a) 2 (b) -1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + 16*p**2 + 16*p + 18. Let w be g(9). Put w, 1, 2, 137 in descending order.\nAnswer: 137, 2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d = -3*b - 2, 4 = 4*d - 2*b. Solve 2*f - l = d, 5*f - 3*l = 4 - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*n + 118 = -0*n, -2*h - 2*n - 82 = 0. Let g = 7 - h. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 j, and 2 s when four letters picked without replacement from coxpjxcxsccsxssxc.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 21. Let o = -0.053 + 24.053. Which is the biggest value? (a) -0.4 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.048? (a) 88 (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l + 15. Let z be h(3). Calculate the remainder when z + 27 + (-1 + -3 - 0) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1513021*-4\nAnswer: 6052084","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Suppose -u*o - 54 = -5*o. Suppose -n = n - o. What is the remainder when 25 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**4 - 2*m**3 + 8667*m**2 wrt m.\nAnswer: 96*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110\/3 - -37. Let n = 5.17043 + -0.17043. Which is the closest to 2\/5? (a) n (b) -20 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88410840 and 920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/73, 2 in descending order.\nAnswer: 3, 2, 1\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237 by -79.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4671060, -9342130, -14013208, -18684300, -23355412?\n\"Answer: -z**3 + 2*z**2 - 4671069*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 4*u. Let w(v) = 2*v**2 + 100*v - 106. Let a be w(-51). Let l = 4 + -7. Let g(f) = -f**2 - 5*f - 1. Calculate a*j(x) + l*g(x).\nAnswer: -x**2 - x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 707*q + 448. What is the units digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09182 - 0.29182. What is the closest to i in 2, 4, -0.2, -4\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 t, 1 o, and 1 l when four letters picked without replacement from {d: 3, o: 1, x: 1, t: 2, s: 2, l: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93274.5 - 93274.8000024. Let i = o - -0.3. Round i to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14130983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 3 = r. Let a be (r*(2 + -2))\/(-1). Let j = 35 + -32. Solve a = -u - j*v - 9, 4*v = -4*u - v - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9811, -39277, -88387, -157141, -245539?\n\"Answer: -9822*g**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/5)*v\/(v**(-1\/2)*v)*((v**(1\/9)\/v)\/v)**(-13) assuming v is positive.\nAnswer: v**(2291\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*d - 7*d - 26*d)*(-571 + 219 + 274)*(-2 + 2 - 1).\nAnswer: -1638*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**3 - 13*z**2 - 5*z + 4. Let a(m) = 22*m**2 + 6*m**3 - 2*m**2 - 35 + 15 + 14 + 8*m. Calculate 5*a(v) + 8*y(v).\nAnswer: -2*v**3 - 4*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:25 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.014598565 + 0.0146. What is i rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5184062 divided by -17338\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.09, -1, -5, -35, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 11:07 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 0.17, 2, -1.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 80*g**2 - 1247*g + 247. Determine k(59).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17176.\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 16 = 3*r, 3*l - 1 = 4*l. Solve -3*j = -r*y - 23, 2*y = 5*j - 23 - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -379 - -329 - (-5 + -57)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - -322?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 14*h**2 + 12*h + 4. Let w be m(-13). Let q = w - 6. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(0*q + 47*q + 84*q)*((2*q - 3*q + 3*q)*(-1 - 1 - 6) + (-3*q + q + 3*q)*(-5 + 3 + 1)).\nAnswer: 4454*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 0*u + 6*u)*(3 + 3 - 4)*(-2 + 2 - 2)*(-2*u + u - 2*u)*(1 - 10 + 3)*(3 - 1 - 3).\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131.4 + 131.45. What is the second smallest value in -1\/4, v, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4582283 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 - 4)*(13*s - s + 6*s) + 4*s + 0*s - 2*s)*(-882 + 882 + 16*s).\nAnswer: 608*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1690 and 142105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(-1*(-3)\/1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 - (-3 + 6 + (-6 - -13))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(147)*3)**2.\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6109 - 284*i**4 + i - 2*i**3 - 12215 + 6105 to the form w*i + b*i**3 + j + h*i**2 + o*i**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 5, 2, -1, 1, 104 in decreasing order.\nAnswer: 104, 5, 2, 1, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 17. What is the highest common factor of o and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 56*y - 359. Calculate c(14).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -19*s**2 + 5*s. Let z(q) = 76*q**2 - 19*q. Let o(a) = 19*v(a) + 5*z(a). Let p(y) = 5*y**2 - 5 - 2 + 7. Determine p(o(x)).\nAnswer: 1805*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140 + 145. Let c be (-5)\/(-7) - (-1208)\/(-3171). What is the closest to c in k, 12\/7, -1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 964.2779 micrograms?\nAnswer: 0.9642779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205 + c - 385 + 173 - 111 to w*c + s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 128 - 198. Let i be (1 - 1)\/(a + -39). Solve i = 17*f - 19*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z - z)*(-3*z**3 + 0*z**3 - z**3 + (2*z**2 - 4*z**2 + 4*z**2)*(-103*z - 212*z + 60*z)).\nAnswer: 1028*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpnrjvrjrjrrrnjn. Give prob of picking 1 p and 1 j.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/8)\/((-6)\/(-16)). Let h = -19 + 21. Sort m, h, -2 in increasing order.\nAnswer: m, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3214 (base 6) to base 5\nAnswer: 10410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - -2.98. Let d = 5727\/236 - 97\/4. Let l = 61\/118 - d. What is the third biggest value in l, u, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*f + 3*c + 90 = -110*f, 4*f = 5*c + 353. Suppose -15*p - 2882 = -7667. Calculate the greatest common factor of f and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Suppose -2*b + 4 = -v*b. Factor -t**5 - 8*t**4 + 3*t**5 + 6*t**3 + b*t**4 - 2*t**2.\nAnswer: 2*t**2*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 12:47 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and 236410.\nAnswer: 8747170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 4:55 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o + 28 = g, 3*o + 36 = 3*g. Is 11 a factor of 70\/3 + 3 - o\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2523\/5*l**2 - 12\/5 - 348\/5*l.\nAnswer: -3*(29*l + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -43, -14, 35, 110, 217, 362, 551?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100100111000011011 + 1011?\nAnswer: -110100100111000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0 - 3*m**2 + 1\/6*m**4 + 0*m + 0*m**3. Let y(p) = p. What is s(y(c))?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16795 = -2864*x - 54805 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 33*s**2 + 11*s**2 - 6 + 9 - 4. Determine r(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from ffppppfdfppppqfwfwf?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -8.32?\nAnswer: -5.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-360 - -356) + (-3 - -91) - -13.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from auwwb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647041448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d = 29*d - 58*d. Let j(w) be the second derivative of d*w**2 + 4*w + 0 + 1\/6*w**3. Let t(k) = 8*k. Determine j(t(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-12)\/1200)\/((-6)\/8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16\/257 + -21557\/4626. What is the common denominator of 59\/231 and q?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.88 * -0.85\nAnswer: 0.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 i when four letters picked without replacement from {w: 1, g: 2, v: 4, i: 7, k: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*k*y**3 - 3*k*y - 730*k - 35*y**3 - 2*y**2 wrt y.\nAnswer: -222*k*y - 210*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 302472 and 30?\nAnswer: 1512360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-75)*(-45)\/18*(-84)\/2128*-19.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from riyiriirrzi?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11092 + 0.1542.\nAnswer: -11091.8458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -4 (b) 2\/747 (c) -5 (d) -1\/4 (e) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/87 + (-4623)\/(-667).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -177038*v - 473734?\nAnswer: -177038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, h: 1}. Give prob of sequence hq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5447 in 1\/8, -1\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, 14, -7, 5, 83 in increasing order.\nAnswer: -9, -7, 3, 5, 14, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1716)\/(-44))\/195*190\/(-6)\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.01787 times 19\nAnswer: -0.33953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Let r be ((-12)\/8)\/(k\/(-8)). Let b = 52 - 47. What is the smallest value in 6, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + -2b577c5?\nAnswer: -2b577d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70126 is divided by 1774?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2804 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0043993 to 5 decimal places.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7658846*m + 312853?\nAnswer: 7658846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s*(((s\/s**(1\/5))\/s)\/s)\/s*s*s)))\/s)**38*(s**(9\/4)\/s*s)\/s*s**(22\/9)\/s assuming s is positive.\nAnswer: s**(5957\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 0 + (2 + 31 - (37 - (13 + 4))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*r**3 + 29157*r**2 + 87309*r = 0. Calculate r.\nAnswer: -9701\/6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*-2 + 5)*3 + sqrt(432) + (sqrt(432) - (sqrt(432)*-2 + -2) - sqrt(432)) + -2*(sqrt(432)*1 + sqrt(432)))**2.\nAnswer: -2856*sqrt(3) + 21457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*8\/(-24))\/((-28)\/6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 3b6?\nAnswer: 3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*c = -1, -5*i - 6*c = -3*c - 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 smaller than -14014\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 0*t + 1\/2*t**2 + 6. Let g(v) = -11*v**2. Determine n(g(j)).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g - 2. Let j(t) = t**3 + 20*t**2 - 22*t - 23. Let y be j(-21). Let o be v(y). Solve 4*a = h - 8, -o*a + 4 = -4*h - 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -17297.907576\nAnswer: -17294.907576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8894725 and 2450?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 4*s - 5*f, -10*s + 12*f - 58 = -8*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -18*i - 16. Let n be b(6). Let f = n - -146. Calculate the highest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 21\/41, 2\/141.\nAnswer: 0, 2\/141, 21\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from ktmqqqk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1230 * -12.155.\nAnswer: 14950.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/10)\/(f**(-11)\/f))**(-20)\/(((f\/f**0)\/(f\/f**7))\/((f\/(f\/(f*f\/(f\/f**(-1\/5))*f)))\/(f*(f\/(f**(-2)\/f))\/f*f))) assuming f is positive.\nAnswer: f**(-1261\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11.1494 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.07, -2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**(-1\/6)*y)\/y*y)**(-39) assuming y is positive.\nAnswer: y**(-299\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**5 - 94*x**4 - 8*x**2 - 7*x - 91. Let w(g) = -2*g**2 - g. Let y(h) = b(h) - 4*w(h). Find the second derivative of y(o) wrt o.\nAnswer: 40*o**3 - 1128*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 3050355910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 11*c**3 - 1 + 2.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 20. Suppose -4*w = -0*m - m - p, 0 = -2*w + 6. Let i(j) = -7*j - 1. Let t(n) = 3*n. Let g(z) = m*t(z) + 3*i(z). Calculate g(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -56. Let b be (-15)\/10*(8\/(-6))\/y. Suppose -b*p = -h + 14, -2*h - h = 2*p - 42. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = -13. Let f = r - 3. Suppose 3*z + 22 + 69 = m, -f*m = -z - 375. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -32*k**2 + 13*k - 14. Let f be x(1). Suppose 0 = 4*v + n - 0*n + 208, 5*v + 273 = 2*n. Let j = v - f. Which is smaller: j or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -195 + -26a?\nAnswer: -3ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14651684 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9458 - 9394.41. Let c = k - 64. Let b = c + 0.11. Which is greater: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506*j - 1041*j + 1551*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -29 (b) -1\/3 (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 - 8 + 3*x**2 + 1 - 8.\nAnswer: 8*x**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175878 + 176998 = -56*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3189 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.184208 and -230?\nAnswer: 229.815792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6566 - -78841\/12. What is the common denominator of -77\/24 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(5 + sqrt(27)) + (4 + sqrt(30)\/sqrt(40) + (sqrt(15)*-2)\/sqrt(5))**2.\nAnswer: -102*sqrt(3) - 509\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 16068170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9072002, 9072002, 9072006, 9072014?\n\"Answer: 2*k**2 - 6*k + 9072006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 802 by -29.\nAnswer: -802\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4233 (base 7) to base 4\nAnswer: -113112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-38)\/1 - (0 - -2). Let j be (-348)\/(-10) - 8\/g. Let c be (42\/j)\/(6\/13000). Round c to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g. Let l(w) = 17*w**4 - 4*w**3 + 10*w**2 - 4*w. Let j(p) = 4*c(p) + l(p). Find the third derivative of j(d) wrt d.\nAnswer: 408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -12*f - 9*f**3 + 16 - 9*f**3 + 17*f**3 + 12*f**2. Let q be p(11). Suppose 0 = -q*x + 4*x + 8. What is the greatest common divisor of x and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**3 - 24*a**2 - 19*a - 6. Let r(s) = 9*s**3 + 46*s**2 + 37*s + 10. Let p(y) = -5*c(y) - 3*r(y). Factor p(l).\nAnswer: -2*l*(l + 1)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40092 and 23901.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(-85*a + 43*a - 21*a) to l + h*a and give h.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, t: 4, g: 2}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55792 + (-15 + 18 - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, l: 2, z: 1}. Give prob of picking 1 j and 1 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-4 + -4) - (3 + -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 1:45 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9737)\/(-642))\/(((-6)\/21)\/(24\/14)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l + 0*l + l)*(5*l + 18*l + 2*l)*(-13*l + 2*l - 9*l) to the form h*l**2 + m*l + s*l**3 + t and give s.\nAnswer: 1500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150 + 87. Let g = 209 + i. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 17 + 4)*(0*l + 3*l - 5*l)*(2 + 1 + 12) to j*l + c and give j.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 53427 = -23*u. List the prime factors of u.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -52254265, -52254255, -52254231, -52254187, -52254117, -52254015?\n\"Answer: b**3 + b**2 - 52254267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 616*p + 22 = -615*p, p = -70*w + 152 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 4*h**2 - 7*h - 2. Let z be (-10 - -12)\/((-4)\/10). Give y(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 288674952374 + -288674951160.999998879. Let t = 1213 - z. What is t rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285 + 21.45\nAnswer: 306.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 42*m - 2202. Calculate w(59).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/2 - (-18)\/14. Let o = -0.3 + 0.25. Let d = 0.25 - o. Which is the second smallest value? (a) d (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:33 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**8\/4480 - r**7\/3360 - 13*r**5\/30 - 7*r**2 + 5*r. Let n(w) be the third derivative of d(w). Find i, given that n(i) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3167.\nAnswer: -3167, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 11) to base 13\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1087004 divided by 3\nAnswer: 1087004\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2089569719 rounded to five dps?\nAnswer: 0.20896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 405695790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -285 + 296. Calculate the least common multiple of 758 and a.\nAnswer: 8338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**3\/2 + g. Let t(v) = 2*v - 2. Let h(b) = -13*b + 6. Let q = 328 - 325. Let o(a) = q*t(a) + h(a). Give y(o(u)).\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -21.5. What is the third biggest value in 1\/2, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17833735*y**4 + 2*y**3 + 26219478*y?\nAnswer: -214004820*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98905*n = 98946*n + 779 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Suppose -l + 3 = -v*l. Suppose -5*x + 15 = 0, -3*p + 21 = -p - x. Solve 0*g = -l*g + p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microsecond in nanoseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 93601910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - u**3 + 7*u**3)*(-u + u + u - 3 + (-1 - 6 + 5)*(5*u - 1 + 1))*(3 - 2 - 3).\nAnswer: 90*u**4 + 30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 56 (b) -1\/4 (c) -0.3 (d) 69\/7 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/72 and 11\/368.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {s: 11, e: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1136 - 3140.3121384.\nAnswer: -2004.3121384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403848721 to the power of 1\/3, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + l**2 + 4*l)*(-6*l + 2*l + 2*l)*(-3 + 2 - 2) in the form v*l**2 + c*l + n + t*l**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 7) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*f*x**3 - 2*f*x**2 + 8*f*x + 778*f + 20216633*x**3 with respect to f.\nAnswer: 25*x**3 - 2*x**2 + 8*x + 778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.5 or 2813726.1?\nAnswer: 2813726.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 3. Suppose -4*v + 80 = -0*v. Calculate the smallest common multiple of (a - -31)*(-1)\/(-2) and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q + 3. Let r(v) = 71*v - 31. Let u(b) = 775*b - 340. Let n(c) = -45*r(c) + 4*u(c). Calculate 70*m(l) - 6*n(l).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 33*p + 44. Let y be q(15). Let v be (5 - (-2 - y)) + -220. Is v less than -213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**6\/15 + 331*l**5\/5 - 110221*l**4\/6 + 72820*l**3 - 108900*l**2 - 990*l + 1. Solve h(v) = 0 for v.\nAnswer: 1, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27 - -0.456.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6578 and 95.\nAnswer: -624910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45073 is divided by 8715.\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.39382226 to two dps.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76934, -76939, -76956, -76991, -77050, -77139, -77264, -77431?\nAnswer: -77646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, 3, -0.758, 0.047, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210 (base 5) to base 7.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 4*y**2 - 5*y - 2. Let u be a(-3). Let c be (0 - -1)\/(u + 0). Let k = -220 + 219.9. Sort k, c, -0.4 in ascending order.\nAnswer: -0.4, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 691501.8t?\nAnswer: 691501800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 11. Let j be 7\/z - (-4)\/16. Suppose -w - n = -j*n - 18, 5*w = n + 94. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*v + 138 = 262*v. What is the first derivative of -26*q**3 + 16*q**3 - v*q**2 + 119 + 49*q**2 wrt q?\nAnswer: -30*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2092343083 + 2092343025.00000062. Let d = 58 + l. Round d to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 1. Let s be r(2). Suppose s*y = y + 384. Suppose -y = -3*z + 42. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 1395*y**2 - 2243*y + 18. Let z(t) = 697*t**2 - 1124*t + 8. Let u(r) = -4*s(r) + 9*z(r). What is the second derivative of u(o) wrt o?\nAnswer: 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28\/5 or 19.5?\nAnswer: 19.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = 5*d - 12*h - 147, 2*h + 122 = 4*d. Which is smaller: 27 or d?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18.75, -0.3, -567?\nAnswer: 18.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**2 - 2*t**4 - 3*t**3 - t + 115 - t - 95 - 8*t**2 - t**2 as y*t + u*t**4 + k + o*t**2 + h*t**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 9*f**2 - f + 11. Let k be v(9). Let m be (3 - -3)*k\/6. Find the second derivative of -8*x**m - 7*x**4 - 2*x + 19*x**2 - 11*x**2 wrt x.\nAnswer: -84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 0 - 1\/4*w**4 + 2*w**2 - 48*w + 0*w**3 + 1\/20*w**5. Factor h(f).\nAnswer: (f - 2)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 357 = 34. Sort -4, g, -2 in descending order.\nAnswer: g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/7 (b) -1 (c) -0.1 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4359072253.\nAnswer: 4359072253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -2*v - 21. Suppose -20 = -4*y, -o + v*y - 21 = 2*y. List the prime factors of 170 + (40\/o - 1\/(-2)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -25\/514?\nAnswer: -25\/514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1767732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 75 = -5*v. Let m be (-2)\/(-4) + 18\/4. Suppose -m*o = 2*d - v, 3*d - 3 = 3*o + o. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 5*c**2 + 3*c - 1. Let j = -13 - -9. Let a be u(j). Calculate the common denominator of (-43)\/(-20) - a\/(-3) and 1\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49204 + 92565. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*n + 14, 0 = 65*y + 5*n + 3419 - 3814 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27447.6 take away 0.4?\nAnswer: 27447.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -58. Let r be (189\/(-14))\/(2\/q). Let c = 10 + -1. What is the greatest common divisor of r and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 174.96259 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115 - -1*(4 - 3)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*r - 1, 8*o - 6 = 5*o + 3*r. Suppose 17*c - o*c = 140. Solve c*q = 9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -72, -312, 4, -3 in decreasing order.\nAnswer: 4, -1, -3, -72, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -14. Let j(r) = r**3 - 6*r**2 - 2*r**3 + 285 - 287. Determine j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 20*x**2 - 136*x - 16. Let g be z(7). Solve -g*i + 8 = -16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/45 - 13\/(-18). What is the smallest value in m, -0.1, 1\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50369 divided by 11.\nAnswer: -4579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4755274 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from fsfsf.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/13))\/(k*(k*k**(-2\/87))\/k))**(-11\/2) assuming k is positive.\nAnswer: k**(814\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186287671?\nAnswer: 67, 2780413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 11:17 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 7?\nAnswer: 41\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -87045 and 15.12.\nAnswer: -87029.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-20)*(-45)\/6. What are the prime factors of i\/36*-2 - (-1220)\/6?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/22707568 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**3 - 2*m - 287 wrt m?\nAnswer: 3*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 376 = 294*s - 777 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 2747275?\nAnswer: 2747302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101001010 - -10101000010?\nAnswer: 111010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18887, -70215, -155763, -275531, -429519?\n\"Answer: -17110*j**2 + 2*j - 1779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 179067?\nAnswer: 3\/59689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 16132*m**2 + 17765152*m + 2951529024.\nAnswer: 4*(m + 201)*(m + 1916)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z\/(z**(1\/5)*z)))\/z*z*z**(2\/13))\/(z**(-9)\/((z*z*z*z**(-8)*z)\/z)) assuming z is positive.\nAnswer: z**(478\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-4))**(4\/3)\/(a*a**3*a)**(-13\/8))**(-11) assuming a is positive.\nAnswer: a**(-363\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -760 - (4 - 3 - 0). Let j = u + 1212. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)\/(-11 + -1). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2)\/v)\/v**(-1\/3)*v**(-2\/15)*v\/v**(-2\/7)*v*(v*v\/(v**(-1\/2)\/v*v))**(2\/35)\/(v**(-1))**20 assuming v is positive.\nAnswer: v**(1409\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 217 = 93. Let i be 39\/12 - 3 - y\/(-4). Solve -z + i + 1 = 3*t, 0 = -t + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r - 42 = -74*r. Calculate the highest common divisor of r and 1442.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -313 + -77. Let t be ((-160)\/50)\/(3\/(v\/4)). What is the greatest common factor of t and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6304371 micrometers in kilometers?\nAnswer: 0.0000000006304371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 6687630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3 = 3*m. Let r(x) = x**3 + 17*x**2 - 6*x - 38. Calculate the remainder when r(-17) is divided by (m - -3) + 18 - -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6*l = -45. What is the highest common factor of 27 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 54*t**2 - 18*t - 27. What are the prime factors of y(-13)?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 257940 by -5.\nAnswer: -51588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/2 and -19\/3908.\nAnswer: 3908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(2*v - 4*v + 0*v) - 2*v + v + 2*v - 3*v - 3*v + 5*v + 13*v + 833 - 860 + 28*v to y*v + q and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0.4 (c) -392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1783 - -1783.25. Which is bigger: q or -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -387780 divided by -138.\nAnswer: 2810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/198)\/(3\/(18\/2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*y**4 - 24396*y**3 - 4*y**2 + 333484*y?\nAnswer: -600*y - 146376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1660, -2, -1 in decreasing order.\nAnswer: -1, -2, -1660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 + 2634*z**3 + 7884*z**2 - 23706*z - 71037.\nAnswer: (z - 3)*(z + 3)**2*(z + 2631)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7354 != 7352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -93, -183, -273, -363?\n\"Answer: -90*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6.2 times 1\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 447405 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7581400 rounded to the nearest 100000?\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 + -11110001010110010?\nAnswer: -11110001010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*b = 153*b + 182*b + 309*b - 7800 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - 18*d + 26. Let b be q(4). Let g be (b\/(-10))\/(5*24\/(-200)). Solve u + g - 5 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 4)\/((-6)\/9). Factor 7*r + 44*r**2 + r**4 + 37*r**3 - 8 - 3*r**2 - 8*r**b + 2*r**4.\nAnswer: (r + 1)**2*(r + 8)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 914*t - 223*t - 319*t + 6696 = 0 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90950327, 363801306, 818552937, 1455205220, 2273758155?\nAnswer: 3274211742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1024, 2059, 3102, 4153, 5212?\nAnswer: 6279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-3))\/((-4)\/(-18)). Let o be -3 - (2*15 + 0). Let i = d - o. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 21*o - 69. Calculate the remainder when (-712)\/(-7) - (-4)\/14 is divided by r(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 128, 276, 450, 662, 924?\n\"Answer: 2*k**3 + k**2 + 131*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-3)*f))**(1\/88)\/(f**(-43)\/f**47) assuming f is positive.\nAnswer: f**(7923\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292 and 898265?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -393*y**6 + 145*y**2 + 743*y**3 - 403*y**6 + 795*y**6 wrt y.\nAnswer: -120*y**3 + 4458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 1. Let w(a) = -2*a + 6. Let r(t) = -t + 2. Let f(c) = 17*r(c) - 6*w(c). Let b(v) = 3*f(v) - 7*o(v). Calculate b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - 2113311?\nAnswer: -2113261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 621, 2394, 5327, 9414, 14649, 21026?\n\"Answer: -s**3 + 586*s**2 + 22*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-4)\/(-128))\/((-2)\/(-12))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1107141 - 1107142 - 7*f**2 - 7*f**2.\nAnswer: -14*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**3 + 3*t**2 - 4*t + 2. Let b(v) = 15*v**3 - 8*v**2 + 12*v - 7. Let z(q) = -2*b(q) - 7*m(q). Let d be z(-5). Round d to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.4, -1, -888349?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 813045 (base 10) in base 12?\nAnswer: 332619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnpn when four letters picked without replacement from {h: 1, n: 2, p: 1, q: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*n**2\/9 - 24484*n\/3 - 356932\/9.\nAnswer: (n - 10498)*(7*n + 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -131201304 (base 5) in base 4?\nAnswer: -2131332213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9064 + 9065. Let l = -0.12 + -0.08. Which is the third smallest value? (a) -0.3 (b) -14 (c) j (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154 * 116\nAnswer: 17864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -30303021 (base 4) to base 8\nAnswer: -146311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 293657058?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -64, -33, 0?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -243 - -9?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(75) - (5 + sqrt(75))) + sqrt(75))*-3 + 6*(sqrt(108)\/sqrt(4) - sqrt(6)\/sqrt(50)))**2.\nAnswer: 342*sqrt(3)\/5 + 9268\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1748 + 393 = 203*u - 3769 - 4285 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 3*c + 5. Suppose -4*w + 7*w = -12. What is i(w)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 14*r**2 - 1388*r + 198 = 0?\nAnswer: 1\/7, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2*k*z**2 - 3*c**2*k*z - 39*c**2*k - 2*c**2 - 30*c*z - c + 3*k wrt z.\nAnswer: 4*c**2*k*z - 3*c**2*k - 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -18*o + 97. Let y be v(4). Let d be (18\/375)\/(15\/y). Which is the biggest value? (a) -14 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/105 and 181\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -48593, 3, 0.277, -2\/11 in increasing order.\nAnswer: -48593, -3, -2\/11, 0.277, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from nzmmmznmfnmmzzfmfmf?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 5 + sqrt(539) + -5 + sqrt(539) + sqrt(539)*-4*6)*2)**2.\nAnswer: -1232*sqrt(11) + 1043508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 14*d**2 + 15*d - 14. Calculate the remainder when j(14) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + sqrt(190)\/sqrt(5))\/sqrt(2)*6.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -3628 (c) 246 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 993*z**2. Let x be y(1). Let l = -573 + x. Suppose -92 - l = -8*i. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422551 is divided by 30152?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 39. Let m be w(-12). Let x = m + 68. Suppose -x*h - 63 = -267. Calculate the highest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, t: 1, b: 1, u: 1, h: 1}. What is prob of sequence uuuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*234.\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**3\/7 - 586*r**2\/7 + 1672*r\/7 - 960\/7 = 0.\nAnswer: -120, 4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2028776.8 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 73. Solve -2*w = -7*w + k - 10, -r*k - 11 = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 10*p + 6. Let o be b(-7). Let h = o - 9. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - 1*sqrt(102)*-2)\/(-3*sqrt(24)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 54 = -w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 = 4*o, 8*v - 5*o + 6 = 6*v. Let d(c) be the third derivative of -3\/56*c**4 - 15*c**v + 0 + 0*c + 1\/7*c**3 + 1\/140*c**5. Solve d(p) = 0 for p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.296080934 rounded to 5 dps?\nAnswer: -2.29608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 938876, 938863, 938850, 938837, 938824, 938811?\nAnswer: 938798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37268877000 rounded to the nearest 1000000?\nAnswer: 37269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -55\/4. Let q = -1\/2 - w. Factor q*n**2 + 3\/4 - 3\/2*n.\nAnswer: 3*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.935 - 0.065. Let o = p - -42. Let l = 4061\/17 - 239. Which is the nearest to 0.1? (a) o (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + c + 0*c - 2 + c**2 + c**3. Let n be (-9)\/(-12) - 11\/4. Determine i(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbyqbbqbbcqqscq. What is prob of picking 1 s, 2 c, and 1 q?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1508624?\nAnswer: 2, 13, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 4:58 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 5. Let j be q(7). Suppose -2*u + u + 3*d = 57, 5*u = -3*d - 375. List the prime factors of (u\/(-10))\/(j\/(-150)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -355*p + 348*p + 1071. Calculate the greatest common factor of p and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y + 8. Let p(o) be the third derivative of 0*o - 69*o**2 + 23\/6*o**3 - 17\/24*o**4 + 0. What is 11*h(q) - 4*p(q)?\nAnswer: 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25265, -50160, -75055, -99950?\nAnswer: -124845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 24*w - 19. Let n(f) = -f**2 + 12*f + 9. Let y(c) = -5*n(c) - 2*q(c). Calculate the remainder when y(-8) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3372a48 (base 12) to base 6.\nAnswer: -551114532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18483*y + 18468*y - y**2 + 2*y**2.\nAnswer: y**2 - 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86889.\nAnswer: 3, 11, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -3*f - 12, -2*f - 45 = -3*l - 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.1 in -1\/9, -364, -0.1, 42?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153.\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27120984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 5\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11581, 11556, 11531?\nAnswer: 11506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 790247547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5)*(-225)\/(-45)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 w when three letters picked without replacement from xxwxxw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) + 10\/3. Suppose -u = 2*u + 12, y*u = -3*r + 1385. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10146 + -0.1.\nAnswer: -10146.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o + 70. Give p(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 201 = -2*c, -o + c = -3*o + 80. Suppose 240 = 3*n - 2*p, 0 = 1586*n - 1584*n - 3*p - 155. What is the greatest common factor of o and n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1393 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221117 divided by 3.\nAnswer: -221117\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(612) + 0)**2*-1 + 3.\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Let b(c) be the first derivative of 0*c + 2\/3*c**3 + 6 + 0*c**2. Calculate i(b(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 11*k - 11. Calculate c(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 9*v**2 - 10*v - 12. Let z be q(-8). Let g(p) = -7 - 94 + 0*p - p - 4*p. Let j be g(-23). Solve z*d = -2*r + j, 2*d = -2*r - 3*d + 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 4:19 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11756 is divided by 357?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r = -18*r - 186 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 9 + 6. Suppose -5*d = -u*s + s - 20, -d = 4*s - 4. Suppose s = 6*c - 3*c - 66. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*-3*(-33)\/99.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 535 - -15?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 2608310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 133*u - 131*u + 2*q - 6, -5*u - 6 = -2*q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -636751507.\nAnswer: -636751504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 13*r - 17*r - 56, -59*a + 14*r = -56*a - 194 - 46 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 810*p - 47161. Give h(-63).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151 - 120. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c - 26 + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -482 and -0.586.\nAnswer: 282.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - -17. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -133790, -535151, -1204086, -2140595, -3344678?\n\"Answer: -133787*v**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:11 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzzzlzzzz. What is prob of sequence lz?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 519, 780?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207.79038 months to decades.\nAnswer: 1.7315865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4260*677.\nAnswer: 2884020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 141*b**2 + 30*b - 203. Let o(s) = -2*s + 22. Let j be o(6). Is w(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53021 (base 7) to base 6.\nAnswer: -140225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcggzkkpcpgkgzkkkd. What is prob of picking 1 g and 2 z?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 815365 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -231 + 255. Suppose -g = -o + 3*h, 2*o - 11 - 45 = 4*h. Suppose 0*l + 2*l + 5*z = 2, -4 = 2*z. Calculate the greatest common divisor of o and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/32941?\nAnswer: -5\/32941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153.5 - -151. What is the third biggest value in 2, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 4*g**2 - 2*g + 6. What is the hundreds digit of h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 24*u**3 + 28*u**3 + 17*u**3 to g*u + n*u**2 + b + c*u**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507231830?\nAnswer: 2, 5, 7, 147881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = 5*k, -2 = -3*k + 1. Find the common denominator of -2*(c + 1\/(-9)) and 38\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -2, -2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 = h + 5*v, -5*v - 7 = -2*h. Sort -4, -1, 0, h in ascending order.\nAnswer: -4, -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 9) + (5 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.278 + -0.678. Let j = -244 - -2194\/9. What is the nearest to 0 in 1, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(6*-2*sqrt(208) - -5*-1*sqrt(208))\/((sqrt(324) - sqrt(324)*2)*1 + sqrt(324) + sqrt(324)).\nAnswer: 170*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1965514 + 1959430 = 169*h for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3548 is divided by 126?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 3*c + 36, 0 = -67*o + c - 960 + 1312 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**2 - k + 4*k**2 - 8*k to i*k + m*k**2 + o and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(3))\/sqrt(2))\/(-6*sqrt(12)\/sqrt(3)) + (2 + (sqrt(32) - -1*sqrt(32)))**2 + -5.\nAnswer: 191*sqrt(2)\/6 + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*m + 18*m - 1000 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**4 - 572*h**3 + 48*h**2 + 90664*h + 2 wrt h?\nAnswer: 12*h**2 - 3432*h + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1717 + 777 = -118*h + 1066 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005544176 to 4 decimal places.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130 + 6. Suppose 4*v - 65 = -3*d, 3*d + 0*d = -3. Calculate the highest common factor of v and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106641650?\nAnswer: 2, 5, 827, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 8 = 4*l, a - 4*a - 3*l - 6 = 0. Suppose 4*z - 3*z = a. Suppose z = -0*j + 4*j - 116. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5)\/c)\/(c\/c**(-9\/4)))**44 assuming c is positive.\nAnswer: c**(-847\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/7)\/(h\/(h\/(h\/(((h**0*h)\/h)\/h*h))))*h**(-2\/13)\/((h\/((h*h**(-1\/3))\/h))\/h*h)*(h**7*h*h**(-6)\/h)**22 assuming h is positive.\nAnswer: h**(5366\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + d + 2. Let c(a) be the first derivative of -2*a**3 - a**2 - 3*a + 317. Calculate -3*c(x) - 5*p(x).\nAnswer: 3*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-1 - -4 - (-24 + 20))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-1400)*(-200)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5*v = 30, -5*v - 51 = -2*m - 53 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134793, 134794, 134795, 134796, 134797?\nAnswer: 134798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 o when four letters picked without replacement from cocoooc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3224*f - 13120 = -2814*f for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + s**2 + 29*s - 60. Calculate n(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 + 2*k - 3. Let d(t) = t**3 - t + 1. Let l = 6993 + -6989. Determine l*d(r) + 2*v(r).\nAnswer: -2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 5*q + 6, 0 = 49*z - 53*z - 5*q - 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, y: 3}. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 1. Let n be w(-1). Suppose 4*k + n = -0, 3*k = v - 19. Calculate the lowest common multiple of v and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.2 in -4, -2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Let m(j) = -62*j**2 - 1073*j + 7. What is m(k(p))?\nAnswer: -62*p**4 + 1073*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/9 + 20*k**4\/3 - 94*k**3\/9 - 344*k**2\/3 - 1240*k\/9 = 0.\nAnswer: -31, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133472 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 2*l**2 + 1. Let s(g) = -4*g**3 + 8*g**2 + g + 12. Give s(w) - 7*y(w).\nAnswer: -18*w**3 - 6*w**2 + w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1950644, -3901287, -5851930, -7802573?\n\"Answer: -1950643*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - -36 - 19 - -16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 250, 5, -2, 3, -4 in decreasing order.\nAnswer: 250, 5, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -81*u**2 - 96*u + 496. What is p(5)?\nAnswer: -2009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 5*z**2 - 6*z - 6. Let y be p(-6). Find the common denominator of -85\/22 and y\/(-27) + (-1502)\/(-288).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(-4 + (sqrt(128) - (2*sqrt(128) - sqrt(128))) + 2*sqrt(128) + -5)**2 + (3*(0 + sqrt(128)) - (sqrt(128) + (-1 + sqrt(128))*-6)) + 4).\nAnswer: -8901 + 4512*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -5 + (4 - -3) + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2 - 16*i - 129 wrt i.\nAnswer: 2*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/33)\/4 - (-2982)\/66. Let b be ((-692)\/2)\/((-2)\/(-5)). What is the tens digit of (-2)\/9 - b\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - -1. Let g be (-4)\/10 - (-1229)\/(-15). Let z = 81 + g. Which is the biggest value? (a) -0.3 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**1)))**(8\/3)*n**(-6)*n*n*n**2*n)\/(n\/n**(4\/7)*n**(-6))**19 assuming n is positive.\nAnswer: n**(734\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 4*t + 23. Let y be d(7). Let i = 8 + -6. Suppose 4*a + 2*n - 14 = 0, -i*a - y*n - 2*n = -22. Calculate the greatest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 201 = -3*z - 137. What is the closest to 6\/5 in 2, z, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -1\/9291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d + 60 = 0. Let z be (d - (3 - 6)) + 3. Let m be 1\/(-3 + z\/(-5)). Which is the nearest to 0.2? (a) 0.2 (b) -1\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -86, -86, -88, -92?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*(g*g**0)\/g))\/g*g)**(-5)\/(g**(-2\/3))**35)**(-25) assuming g is positive.\nAnswer: g**(-1750\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 2*c = 528. Let d = 59 - c. Let m(w) = w**3 + 8*w**2 + 5*w - 8. Determine m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80785 and 117629.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4\/10 + 79*j**3\/5 - 4212*j**2\/5 + 78416*j\/5 - 140608\/5 = 0.\nAnswer: 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l - 12. Is 42 a factor of i(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 (base 7) in base 10?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -244, -287, -330?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:05 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33221, -33941, -35141, -36821?\n\"Answer: -240*f**2 - 32981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -43. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 217118.1nm?\nAnswer: 0.0000002171181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 2, 0.2, -1, -35.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13643, 21339, 29035, 36731, 44427, 52123?\nAnswer: 59819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 14*o + 15 = 0. Solve d - 2*d = o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(49\/35)\/((-81)\/135). Calculate the greatest common divisor of 7980 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27730 or -27967?\nAnswer: -27967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 21. Suppose -4*i - 2*u = -2*i - h, 0 = -2*i - 5*u + 29. Suppose -4*d = -i*r - 2, d + 2 = -r + 4. Solve -m - p = d, -2*m + p - 1 = 4*p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - 3*(sqrt(243) - (sqrt(243) - (sqrt(243) + 0)))) + sqrt(243) + 2*sqrt(243) + 0 + sqrt(243))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 5 (c) -0.2 (d) -248.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 14*q**2 - 12*q - 11. Let j be f(13). Suppose j*o - 4*z = 24, -3*o - 5*z + 1 = 9. Solve 0 = -s + 5*s - o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a factor of 2905730810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 2.6. Let s = v - -15. Suppose -22 = 2*w + 2*j, 4*w + 11 + 9 = 4*j. What is the smallest value in w, s, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, t: 2, c: 1}. What is prob of picking 1 m and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 2989\/392)*-14*9\/30?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21\/4 + -5. What is the closest to 1\/4 in 2\/9, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = -5*q. Suppose w + 0*w = 4*y + 14, -y = -4*w + 11. Put y, 13, q in descending order.\nAnswer: 13, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + b3?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/7*k**2 + 0 - 3\/7*k - 9\/7*k**4 + 3\/7*k**3 = 0 for k.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 - 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 290\/(-1595)*-1*(-33)\/12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-5 + 21 + -9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:54 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-140)*(-21)\/8)\/((-2421)\/(-83928))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h = 30 + 180 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -13*p**2 - p - 1. Let y(x) = 89*x**2 - 1121*x + 4. Let c(f) = -4*m(f) - y(f). What is the second derivative of c(s) wrt s?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = -4*j - 1, -5*j + 2*u - 11 = 0. Let v(h) = 2 - 1 + 8*h + 0 - 9*h. Let q(x) = 2*x**2 + 5*x - 6. Give j*q(b) - 6*v(b).\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74259 + 74294.013. Let v = 0.013 - h. Let g = 36 + v. Which is the smallest value? (a) -4 (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (263690*n**3 - 131515*n**3 - 129556*n**3)*(-2*n + 4 + 3*n - 2) in the form r*n**2 + d*n**4 + o*n + a*n**3 + p and give a.\nAnswer: 5238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2691*l**2 - 11*l - 55427 wrt l?\nAnswer: -5382*l - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044 (base 6) in base 4?\nAnswer: 3310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 400850 + -400839. Let l = -3 + 7. Suppose 0 = j - l - 1. Solve 3*w = 2*b + 4*w - q, -2*b + 5*w = -j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5742)\/(-3375) - 12\/9. Let o = b - -4\/125. Let p = -4.91 - 0.09. Sort p, 0.05, 1\/3, o in decreasing order.\nAnswer: o, 1\/3, 0.05, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 644 and 56.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 970738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-147)*28\/52)\/((-33)\/(-286)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**7*k\/((k*k**(-7)\/k*k)\/k)*k*((k\/(k\/k**(-2)))\/k)\/((k*(k\/(k\/(k\/k**(-5)*k)*k)*k)\/k)\/k*k) assuming k is positive.\nAnswer: k**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u*u*u**(-2\/39))\/(u**(-9\/4)\/(((u\/(u*u*u\/u**(-22)))\/u*u)\/u*u)) assuming u is positive.\nAnswer: u**(-3557\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5079?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjjv when four letters picked without replacement from jjjvjvjvvjjv?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23555 is divided by 327.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 + (0 - (4 - 8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-3) - (-2 - (2 + -1)). Let j be (-3)\/(-6) - 6\/4. Let c be (-8)\/10*(-3)\/4. Sort j, l, c in descending order.\nAnswer: l, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8 = 3*c, 4 + 2 = c + 3*g. Let m(i) = -3 - 2*i + 0 + c. Let p(z) = z. Calculate m(p(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 111, 134, 157, 180, 203?\n\"Answer: 23*u + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15 - 10 = 0, -2*t = -4*a - 48. Let x = t - 34. Suppose x = 34*k - 35*k + 296. Is 37 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -1, -3, -2.\nAnswer: -18, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + (-5 - (-3 + -9 + 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341.449029138 less than -0.2?\nAnswer: -341.649029138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccpcv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 32. Suppose g - 315 = -5*n - 3*z, 5*n = z + 264. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/81863 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -88. Let r = -44.6 - v. What is r rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 5. Let a(d) = d - 2. Give 8*a(m) + 3*f(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*n**3 + 39*n**3 - 4*n**3.\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**5 - 815*z**4 + 22470*z**3 - 190540*z**2 + 579800*z - 564000 = 0.\nAnswer: -188, 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4))\/((-84)\/8 - -11). Solve b*o - 6*o = 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**2 + 280*m - 580 = 0.\nAnswer: -58, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1181282648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 5 = -5*w - 5*j, -6 = -2*w + 4*j. Suppose -2*t = 10, 2*t + 1 + 144 = w*l. Let p(n) = n + 12. What is the remainder when l is divided by p(11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 + 6*w + 1. Let o(y) be the first derivative of y**3 - 5*y**2\/2 - 75. Let z(h) = 2*a(h) + 3*o(h). What is z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 t, and 1 n when four letters picked without replacement from pnpphptpxppp.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -17*m**2 + 42*m + 118. Let v(o) = 8*o**2 - 20*o - 49. Determine -2*a(w) - 5*v(w).\nAnswer: -6*w**2 + 16*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/5 - 46*n**3\/5 + 342*n**2\/5 - 1026*n\/5 + 216 = 0. Calculate n.\nAnswer: 3, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 73. Let r be (-5)\/t + 78\/10. Factor x**3 - 3*x**3 - r*x - 8*x**2 - 2*x**3 - 4*x**2.\nAnswer: -4*x*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s = -49*s + 24. Is (64\/(-40))\/(s\/(-210)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 minus -785?\nAnswer: 785.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593553*d = -593484*d + 2622 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 - 6*c**2 - 6*c + 4. Suppose 5*u = -31*z + 36*z + 130, 4*z - 24 = 0. Calculate the remainder when n(-5) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45404688 divided by 2837793\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + -11*(-4 + -11 + 4 + 10)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 32 + 3 = -3*g, 5*k - 15 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 11:17 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**(1\/3)))**(-2\/53))**48*((m**(-5)*m)**(-2\/53))**(14\/5) assuming m is positive.\nAnswer: m**(-208\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.439 - -2.509. Let t = 2 - y. Let x = t - -0.0687. What is x rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b1 + 17?\nAnswer: 1c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 26, 64, 116, 182, 262, 356?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77951042?\nAnswer: 2, 13, 71, 42227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**3 - 3651*b**2 + 3*b + 3651 = 0.\nAnswer: -1217, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-24)\/(-51))*2808\/(-56160).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**2 + u + 3. Let p(s) = -s**2 - 24*s + 80. Let r be p(-27). Let w be q(r). Which is the nearest to w? (a) 0 (b) 1\/9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/23, 1.772, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3374\/1237 or -2?\nAnswer: -3374\/1237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 5, 2, -38, -600.\nAnswer: -600, -38, -6, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + (sqrt(833) - -2*5*sqrt(833)) + sqrt(833))**2.\nAnswer: 140777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goq when three letters picked without replacement from {j: 3, o: 2, q: 1, g: 2, p: 4, i: 3}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -793*c*d**4 + c*d**2 - 5*c*d - 7*d**5 + 3371 wrt d?\nAnswer: -19032*c*d - 420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*w - 4*w + 27*w + 6*w.\nAnswer: -23*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*n. Suppose -3*l + 3*t + 418 = l, 4*l - 4*t - 420 = n. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/20 - p**4 + p**3\/6 - p**2 - 32*p. Let k be o(12). What is the greatest common factor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1411 + 4*p + p**3 - 3*p**3 + 1407 as l*p + u + n*p**2 + t*p**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33, 49, 91, 171, 301, 493?\n\"Answer: 2*w**3 + w**2 - w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q + 20*q - 3*s - 3 = 0, -q = -5*s + 21 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 315 + -302 + (1 - 0) + (3 - 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1349291 is divided by 202?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 15) to base 5\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - -5. What are the prime factors of 52\/5 - 14\/a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.9 in 0.2, 0, 3\/5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 4*v**2 - 50.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 2, 18, 973 in increasing order.\nAnswer: -37, 2, 18, 973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/(-42) + 2\/4. Let t = s + 8\/21. Let a = -3 + 2. Is t > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (0 - (3 - (5 - 6)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n + 5*g + 23 = 41*n, 2*n + 9 = -3*g for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -i. Let c(o) = 2*o - 3. Let v be c(i). Solve -v = -3*d + 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 60941*r**2 - 487480*r + 974928.\nAnswer: -(r - 60933)*(r - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 295\/146 or 2?\nAnswer: 295\/146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -18. Let u be (-14)\/(-6)*(-2)\/(-14). What is the smallest value in g, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - r - 1. Let g(z) = z - 5*z**2 - 25 - 9*z + 21. What is g(x) - 6*v(x)?\nAnswer: x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 2661.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.39 - -0.44. Put n, 2\/3, 0.1, -2 in ascending order.\nAnswer: -2, n, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*a**2 - 284*a**2 - 378*a**2 in the form d*a + y*a**2 + u and give y.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 6 - 14 = 0. Let l(n) = -6*n**2 - 1 + 2*n**2 - n**3 - n**2 - 2*n. Determine l(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + y - 88 = -269, 5*m - 4*y = 218. What is the remainder when m is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {l: 1, m: 7, p: 5}?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 276847079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = -48*b + 145*b - 53*b - 53*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 64, 273, 680, 1351, 2352, 3749?\nAnswer: 5608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 75 (b) 1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.064 + -0.064. Which is the nearest to g? (a) 3\/5 (b) -4 (c) 1\/4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b572 (base 13) in base 16?\nAnswer: 2ff77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g\/g**12*g)\/g)\/g)*g*g*g)\/((g\/(g\/g**11*g))\/g) assuming g is positive.\nAnswer: g**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -226 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -3422041551?\nAnswer: -3422041551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -76.9. Let w = 21 + y. Sort w, -0.3, -2 in decreasing order.\nAnswer: w, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(5) + 0 - sqrt(20)\/(sqrt(4) - sqrt(256)).\nAnswer: 8*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 23*f**2 - 5*f. Let y(a) = 23*a**2 - 6*a. Let c(w) = -6*g(w) + 5*y(w). Let q(b) = -16*b**2. What is q(c(i))?\nAnswer: -8464*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*k + 2*k. Suppose 3*y - 19 = -k. Is 4 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*p - 245 = -1267, -2*p = 5*k - 2583. Let n = k - 498. What is the remainder when 80 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Let g(m) = -m**2 - 4*m + 1. Let i be g(-4). Suppose 4*c - 21 = -y, 0 = -2*c + 4*y - 3 + 9. Put v, c, i in increasing order.\nAnswer: i, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*((-8)\/6)\/4. Let h(l) = 465*l**2 + l + 1. Is h(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-320)\/20 + (-473)\/(-30) - (-4)\/10\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -20 + 7 + (10 - 2) - (4 - -4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -12438 + s + 12438. Let t(l) = l**2 + l. Let h(i) = -12*i**2 - 21*i. Let r(k) = 6*h(k) + 126*t(k). Calculate r(g(x)).\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l**5\/5 - 39*l**4\/5 + 162*l**3\/5 + 201*l**2\/5 - 6*l - 72\/5 = 0.\nAnswer: -3\/2, -1, 4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1605*y**3 + 3*y + 5*y**4 + 6 + 535*y**3 + 536*y**3 + 532*y**3 as w*y**2 + p*y**4 + m*y**3 + t*y + l and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5 + 1 - 22*r**2 to the form j*r**2 + m + o*r and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i - 13 = 19. Let t(h) be the second derivative of 31*h**4\/6 + 2*h**3\/3 + h**2 - 7*h. Does 12 divide t(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p + 15 = 28*p. Let b be (-7 - -8)\/(p\/27). Solve -4*j = 7 + b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 h, and 2 k when four letters picked without replacement from kuhpsppkkkhk?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 147926747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 2. Let p be f(0). Suppose 7*n = 8*n - p. Suppose -5669 = 5*c - u - 18, n*u + 1128 = -c. What is c rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11874, -0.5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 7. Let d be s(8). Let i(c) be the first derivative of 3*c**5\/20 + c**4\/12 - 2*c - 1. Let k(u) be the first derivative of i(u). What is k(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2847466 to 3 decimal places.\nAnswer: 0.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 968*t**4 + 44154*t**3 + 26850*t**2 + 5408*t + 360 = 0.\nAnswer: -45, -1\/4, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**4*y*y**(11\/4) assuming y is positive.\nAnswer: y**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 = 25*z + 234 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-8) - 4\/(-16). Suppose 3*k = -d*s + s + 42, -5*s + 2*k = -47. Calculate the smallest common multiple of s and (-3 - -1)\/(-3 + 5)*-7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 1. Let l be k(-6). Suppose -3*y = -3*t - 6, t = 4*y - l*y + 6. Calculate the smallest common multiple of 20 and 4\/y*(6 - 2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.093 (b) -0.2 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**6\/6 + 2*z**5\/5 - 234*z**4 - z**3\/3 - 97*z**2 - 4*z - 1266. What is the third derivative of k(t) wrt t?\nAnswer: -60*t**2 + 48*t - 5616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 15. Suppose 7*b + 4*b = -88. Let d be y(b). Let j(l) = 10*l**3 - 6*l**2 + 6*l. Let i(a) = a**3 - a**2 + a. Give d*j(w) + 6*i(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-347)\/2)\/((-1)\/2). Let t = 230 - f. List the prime factors of (1\/(-3))\/(3\/t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 28 = -0*l. What is the remainder when l is divided by (-2)\/10 - (-153)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -2109?\nAnswer: -2108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 354 = 4*z, 50*z = -4*i + 49*z + 292. Let d = 1357 + -863. Suppose -5*n - i = -d. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 3*p - 3*p**2 - 4*p**3 + 2*p**3 - 1. Let x be k(-3). Let u = x - 10. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 200*o - 2000.\nAnswer: -5*(o + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.5012367 + 0.5011317. Let i = -513 - -528. Let k = i + u. What is k rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/7 + (41\/533 - 648\/2002). Let 2\/11*k**2 - 2\/11 + 2\/11*k - y*k**3 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79909?\nAnswer: 41, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35 + -6?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6203242, 6203263, 6203298, 6203347, 6203410, 6203487, 6203578?\n\"Answer: 7*y**2 + 6203235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o - 4. Sort 0, 5, o in decreasing order.\nAnswer: 5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*p**2 - 1186*p - 840 = 0. Calculate p.\nAnswer: -84, -5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0317 - -0.1683. Suppose 2*p - 23 - 21 = 0. Suppose 5*a + 15 = -4*f, a = -5*f - p - 2. What is the fourth smallest value in h, -3, f, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4661*v - 12. Let t(p) = -1319*p**2 - 2*p. Determine s(t(w)).\nAnswer: -6147859*w**2 - 9322*w - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 18 + 3 = 0, k - 5*b = 30. Suppose o - 32 = -3*c, o - 14 = -c - 0. What is the remainder when k is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 8 - 12, -w + 3*t = 10 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 - 6852*p + 1. Let t(m) = -47*m. What is t(i(l))?\nAnswer: -235*l**2 + 322044*l - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 7717*x\/2 + 27034.\nAnswer: -(x - 7724)*(x + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y. Let c(p) = -2 + 1 + 3 - 47*p**2 - 2. Calculate n(c(d)).\nAnswer: -188*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 597, 1193, 1789, 2385?\nAnswer: 2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1643, 1, 4, 248, -4 in decreasing order.\nAnswer: 248, 4, 1, -1, -4, -1643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v + 3*v = -6*v - 220 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*x + 28, 3*f - 10 = 2*f - 4*x. What is the greatest common factor of 12 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*w = 390*w + 1014. Let a = -353\/2 + w. Let m = -12 + 4. Is m < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 6*k - 8. Let b(t) be the third derivative of -7\/6*t**3 + 1\/60*t**5 - t**2 + 5\/24*t**4 + 0 + 0*t. Calculate 6*b(m) - 5*f(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**5\/20 - 16*k**4\/3 - 442*k**3\/3 + 2312*k**2 + k + 589. Factor o(w).\nAnswer: -(w - 4)*(w + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 2*n**3\/3 + 8. Let x(o) = -9*o. What is w(x(f))?\nAnswer: 162*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + r + (5*r - 3*r - 4*r)*(-1 + 4 - 2) - 2*r + r + 2*r - r + 3*r + 0*r - 55*r - 14*r + 18*r to the form i*r + a and give i.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*r + 259, 3 - 6 = r. Let v = u + -89. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5363.\nAnswer: 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3870*l + 25 + 26 - 68 + 17 as v + a*l and give a.\nAnswer: 3870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*o - 1801*o + 609*o = -607*o + 247 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1459 + -989. List the prime factors of s.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-35)\/(-110))\/(2\/6) - 2 and 25\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72054 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 12. Let s = -101 - -117. Suppose -6*h + 40 = -s*h. Let o be 84\/(-16) - h\/16. Calculate u(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/572 and 67\/208.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14350224, 14350236, 14350248, 14350260, 14350272, 14350284?\n\"Answer: 12*s + 14350212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1121\/4 and -281 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 38*0.5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1086 <= -1085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)*n**5)\/(n**(-10)\/((n*n**(-7)*n)\/n)) assuming n is positive.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**4\/6 - 416405*a**3\/6 - 6241575*a**2 - 187202250*a - 1871797500 = 0. Calculate a.\nAnswer: -83191, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*t**4 + 123449*t**3 - 10303*t**2 - 8*t wrt t.\nAnswer: -72*t + 740694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*v**2 + 2*v**2 + 7*v**2 - 8*v to s*v**2 + q + h*v and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**6\/l*l)\/l)\/l*l**(-3\/2))\/(l\/(l*l**0*l)*l*l)**(5\/2))\/((l**3*l)\/l**7)**20 assuming l is positive.\nAnswer: l**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 30. Suppose 0 = v*z - 14 + 6. Solve i + 3 = 3*o + z, 1 = i - o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85918949 to the power of 1\/2, to the nearest integer?\nAnswer: 9269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**3*p)\/(p\/(p\/(p*p*p*p\/p**(2\/7)))))\/(p**(-2)\/p)**(11\/9) assuming p is positive.\nAnswer: p**(104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*1\/((-9)\/12). Solve q*m = -b + 5, -m - 4*b = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, m: 1, h: 7, c: 3, d: 1, p: 1}. Give prob of picking 2 c.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 185651387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**22*(p**2)**(-6\/7)*p**4*p*p*p**(-2\/9)*p*(p**3*p)\/(p*p*p**(2\/7)*p) assuming p is positive.\nAnswer: p**(-146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0368 + 484.9632. Let k = 488 - p. Are k and 38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 74. Solve -5*r + 0*r - 25 = -w*q, 0 = -4*q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -11*l**3 - 201*l**2 + 6*l - 30. Let z(w) = 10*w**3 + 200*w**2 - 5*w + 25. Let p(y) = 5*u(y) + 6*z(y). Determine n, given that p(n) = 0.\nAnswer: -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 18*y**2 + 21*y + 7. Suppose -2*u - 22 = -56. List the prime factors of z(u).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7953178.\nAnswer: 2, 17, 233917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 126307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - z**2 - z - 1. Let a(x) = 3*x**3 + x**2 - 4*x - 9. Let l(r) = a(r) - 2*g(r). Let y be (-63)\/12 - -2 - (-17)\/68. What is l(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/44 + -1 + 1. Let w be 47\/11 + 8\/(-2). Let j = m + w. What is the nearest to j in 0, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235 + -235.254. What is l rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 40.77 and 23298.\nAnswer: 23338.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 2*o**7\/175 + 2*o**6\/75 + o**5\/75 - 29*o**2. What is u in w(u) = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 17*y + 1. What is the units digit of w(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**4\/4 - 2*w**3 + w**2 + 7*w + 2. What is t(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1, -2, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*o - 0. Let a = 0.1 + 0. Sort 2, a, o in descending order.\nAnswer: o, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -816.5 (b) 5 (c) 4\/9 (d) -0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (808*z - 1189*z + 785*z)*(0*z**3 + 5*z**3 - 4*z**3).\nAnswer: 404*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 44127?\nAnswer: 2\/44127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 5. Let l = -1 - i. Let g = -5 + l. Is g < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -13. Suppose -t*z - 3 = -47. Find the third derivative of 13*h**2 - z*h**5 + 11*h**4 - 16*h**5 - 11*h**4 wrt h.\nAnswer: -1200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Suppose -n + 7*q - f*q + 5 = 0, 2*n - 10 = -3*q. Let p be -3 + (0 + 3 - 6)\/(-2). What is the smallest value in n, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 17*q + 88, 3982*q = -3*m + 3985*q + 60 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**3 - d**3 + 5*d**3 + 0*d**3 + d**3 + 5*d**3 + (29*d + 25*d - 35*d)*(3*d**2 - 3*d**2 + 2*d**2).\nAnswer: 43*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:52 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1327449, -2654901, -3982363, -5309841, -6637341, -7964869, -9292431?\n\"Answer: -f**3 + f**2 - 1327448*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1080 - -1083. Sort 1\/2, p, 1, 0 in decreasing order.\nAnswer: p, 1, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y + 10. Let s be t(-11). Calculate the highest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 735 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*k + 8 - 5.\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m - 12. Let k(w) = -36*w**2 + 4*w. What is g(k(q))?\nAnswer: -288*q**2 + 32*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 8:05 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b**3 + 7*b**2 - 4*b + 13. Let a be u(3). Let z = 1248 - a. List the prime factors of z.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*n - 122*n + 820728. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.2, 0.5, -8, -369, 14 in ascending order.\nAnswer: -369, -8, 0.2, 0.5, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 12*j**2 - 12*j + 10. Let w be o(-11). Let n = -21 + w. Suppose -3*c + 4*b = -149, -3*c + n*b - 2*b = -137. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*i - 18541 + 15062 for i.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 563823991 to the power of 1\/2, to the nearest integer?\nAnswer: 23745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 34. Suppose -y*f + 136 = -f. Solve 5*g = 5*w + g - f, -3*w + 5*g + 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43\/24 - -1\/8. Let d = 249 + -312.96. Let w = 64 + d. Sort 5, k, w in ascending order.\nAnswer: k, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0263080748 to six decimal places.\nAnswer: -0.026308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 32. Let d = m + -6. Suppose 3*v = d + 4, 2*v = -4*n. Let p(a) = 8*a**3 + 2*a**2 + 2*a + 1. Determine p(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**3 - 904*x**2 + 249071*x + 501750 = 0.\nAnswer: -1125, -2, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55965731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 361, 432, 505, 580, 657, 736?\n\"Answer: g**2 + 68*g + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 677347117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzizizzzzz. What is prob of picking 3 z and 1 i?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + 6*x**3 - 2*x**3 + 7*x**3 - 18*x**3 + 5*x**3 + (x + x - 4*x)*(-x**2 + 3*x**2 - 3*x**2) - x**2 + x**2 + 3*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*k**2 - 71479*k - 10171220.\nAnswer: -72*k - 71479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggdgygybbbbygbb?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 plus -218498?\nAnswer: -218493.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/9, -1\/5, -4, -4\/7, -385?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -1\/7 (b) -9 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 8*d - 11. Calculate l(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 23*g - 11*g = 18. Put 4, g, -37, -1 in descending order.\nAnswer: 4, -1, g, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 20955452291?\nAnswer: 20955452286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.4 and 2?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92176411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -7*b**6\/15 + b**4\/4 + 15*b**2\/2 - 4*b - 11. Find the first derivative of y(s) wrt s.\nAnswer: -56*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 3. Let a be u(-4). Suppose 0 = 4*p + p - 2*t - 475, -4*p + 380 = a*t. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.039 - 4.239. Let i = 5.77524 + -1.57491. Let s = i + u. What is s rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.243172ng?\nAnswer: 0.002243172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from uuuauuauuuukuuauuk.\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 378*a + 374*a - 2.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3192 and 2184.\nAnswer: 41496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -293*t - 1850. Let c be z(-9). Which is bigger: 782 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 21*w + 11*w + 10*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from vqqeeqevevvevqe?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 48528307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/14 and -3*2\/3*87\/(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31943 + -123523582\/3867. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 7. Let g be k(5). Let b be (-94)\/(-6) + g\/3. Solve -4*j + b = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 11*y**2 - 14*y + 7. Calculate o(10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(z - z + 2*z)*(-3*z + 5*z - 3*z)*(-4*z**2 - 2*z**2 + 5*z**2).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 12*a**2 - 12*a + 35. What is the remainder when s(7) is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = 1. Suppose 0 = -3*z + 4*p + p + 47, i*z + 2*p - 37 = 0. Calculate the highest common factor of z and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 3) + (-1 - (-105 + (-26 - -6)) - 9)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3296 + -3285. Let p(m) = -m**3 - 5*m**2 - 5*m + 7. Calculate the remainder when p(-5) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/9 - (-36)\/(-12). Suppose -8 = 3*h + 2*h - 4*s, -13 = h + 3*s. Let x be 2\/h*(-1 - -4). What is the second smallest value in x, p, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1682218 is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**5\/60 + a**3\/6 - 8*a**2 + 1. Let t(o) = -12*o**2 - 10. Suppose 4*g - 44 = 36. Give g*j(k) + 2*t(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 768\/(-7) + (-2)\/7. Let s = z + 103. Which is smaller: -5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v + 42*v - 25160006 = -2*j, 0 = -v - 4*j + 25160012. Round v to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2959?\nAnswer: 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -2*o + 2*y + 29, -3*y = -4*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -382b6 (base 16) in base 11?\nAnswer: -147945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 - -0.4. Let j = a + 2.1. Put -0.1, j, 3 in descending order.\nAnswer: 3, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181046.\nAnswer: 2, 3, 41, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -199\/4, -1\/4, 2, -1\/837, -9?\nAnswer: -199\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - -127. Suppose -s = -2*n - z, 9*z - 12*z = -15. What is the first derivative of 12*d**3 + n - 3 + 34 + 2 wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -833047 from 6.\nAnswer: 833053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 10:29 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1797 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 12*j + 3. Is -6663*((-7)\/j)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342 is divided by 266.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 1197\/378)*6?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g - 6*g - 7*g + 21. Let p = 436 - 436. Determine s(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 230.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5408 times 0.3?\nAnswer: 1622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a**3 + 2*a - 1. Let r(l) = l + 5. Let c be r(-3). Let k = -1 + c. Determine t(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d = z + 369, -9406*d + 9409*d = -4*z - 13 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 15*h + 14. Let b be j(-15). Let k(t) = -19*t**2 + 2*t - 1. Let l be k(1). Let p be (-2 - l\/b) + 1. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 22*i**2 - 3*i + 4. Let q(j) = 3*j**2 + j - 1. Let c(b) = f(b) - 7*q(b). Determine c(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0036 times -53.4\nAnswer: -0.19224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 1*1*-1. Let n(v) = -19 + 49 + 8 - 7*v. Let q be n(5). Solve u = 5*y + q*a - 25, 0*y + 5*a - 21 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1912398986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -4*q - 13, -4*b - 1 = 2*q - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -496401*3\nAnswer: -1489203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 82 - 24*t + 6*t.\nAnswer: -18*t + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (21*(-126)\/245*-1)\/((-12)\/(-1230)) is divided by 71.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (4 + -7 - 8\/2). Suppose -2*t + 629 = 5*f, -5*t + 4*f = h*f - 1607. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) + (-44)\/(-10). Let h = -1157 - -1162. Sort -5, y, h.\nAnswer: -5, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/((-24)\/(-249)))\/((-1)\/(-11)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyrrrnrnrryrrrryrryn. What is prob of picking 1 r and 1 y?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4273*y - 42250 = -3428*y for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2*(-8 - -7). Let d(u) = u**3 - 16*u**2 + 30*u - 8. Let j be d(14). Suppose 0 = -34*l + 29*l - j. Sort -2, v, l, 2 in decreasing order.\nAnswer: 2, v, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.29 - -0.29. Which is the closest to -1? (a) j (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49360 and 617000?\nAnswer: 1234000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 1051*f + 0*f**2 + 2*f**3 - 1051*f.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -14*o + 18. Let i(v) = 6*v - 5 + v**2 - o*v**2 + 4*v**2. Is 9 a factor of i(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**3*n**5*w - 22*j**3*n**4*w - 5*j**3*n*w - j**2*w - j - 2*n**2 wrt n.\nAnswer: 60*j**3*n**2*w - 528*j**3*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109700324 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 20 = 5*x, 5*x - 11 = -2*a + 9. Let i(h) = -4*h + 7 + x + 9 + 2*h**2 + 22*h. Let o be i(-8). Calculate the highest common factor of o and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4. Let q = -0.06 + 2.06. Let z = 7 - q. What is the closest to -1 in o, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1867542 times -4\nAnswer: -7470168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -26161 divided by 26161?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 + 11 = -a + 2*a + 29*a, -27*j + 26*j + 242*a - 25 = 243*a for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5411, -21568, -48495, -86192, -134659?\nAnswer: -193896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11 - -8) + 2318\/779. Let i be (12\/10)\/((-4)\/(-10)). Which is the nearest to -2? (a) i (b) -0.5 (c) -2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8485192491?\nAnswer: 3, 2828397497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {g: 1, d: 1, v: 1, w: 2, z: 1, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 + -103. Suppose -i - 5*r = -68, -5*i + 232 = -2*r - 0*r. What is the highest common divisor of i and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = 0, n + 71 + 16 = -4*p. Let s be (-2394)\/n - 6\/5. Solve -5*l - l - s = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five halves of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102409 by 1937.\nAnswer: 102409\/1937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/5 + (-411)\/(-685)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-nine quarters of a century?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -45. Let o be ((-7)\/(-14))\/((-2)\/c). Suppose l + o*l = 72. Solve -g - 3*g - l = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17b + -2?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/5 - 58627*h**2\/5 + 859251968*h\/5 + 859310596\/5 = 0.\nAnswer: -1, 29314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 434 = l + 19, -3*l = -3*o + 267. Let j be ((-12)\/14)\/((-13)\/o). Let y(r) = -2*r - 2*r - 1 + j*r. Determine y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = -g + 3, -3*g + 10 = -5*b. List the prime factors of ((-4)\/3)\/(10\/(-3675)*g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00265377 rounded to six dps?\nAnswer: -0.002654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5064 + 2?\nAnswer: -5062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 934*z**2 + 5 - z**3 - 934*z**2 + 5*z. Let p be q(0). Solve p*j - 21 = 2*c, -2*c = -0*j - 2*j + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 17941 - 17813 = -6*r, 0 = -r + f - 18 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356c48 (base 14) to base 2.\nAnswer: 110111101011010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3188181*2.1.\nAnswer: 6695180.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 9:19 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + k + 1. Let w(y) be the second derivative of -5*y**4\/12 + 5*y**3\/6 + 2*y**2 + 5*y. Let j(r) = -4*h(r) + w(r). Factor j(b).\nAnswer: -b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 - -20. What is the greatest common divisor of g and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -85 + 24 + -52 + 8 + 1 + 1.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10 = 0, -3*t + b + 835 = 2*t. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + 8 = l, 0 = -4*l - t + 107. Suppose y - l = -y. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a - 5*a**2 - 4*a - 8*a. Let y(v) = 10*v**2 + 33*v. Let f(x) = 5*i(x) + 3*y(x). What is the tens digit of f(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 149*w + 545. Calculate the smallest common multiple of 8 and l(-75).\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1\/(-10)*4\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-180)\/42)\/(-5))\/(((-8704)\/224)\/(-4))\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03349 rounded to 4 decimal places?\nAnswer: 0.0335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 15*f**2 - 43*f - 72. Let c be x(-17). Let z = -39 - 30. Let q = c + z. Calculate the highest common factor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, n: 2, i: 3, c: 8}. What is prob of picking 1 i and 2 n?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*q = 2*s - 292*q - 8, -2*q + 10 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o. Let n(c) = -6*c**2 - 17*c. What is n(f(u))?\nAnswer: -6*u**2 - 17*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**4 + 0*x**2 + 0*x**2 + (2*x - 2*x + 2*x**3)*(-2*x + 1 - 1) + 5*x**4 - 2*x**4 - x**4.\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 68*j + 5. Let u be l(0). Put u, 5\/3, 0.05 in increasing order.\nAnswer: 0.05, 5\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = -65. What is the first derivative of 20*u + q - 24*u + 1 wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/10, -0.3, 5, 4\/9, -16 in decreasing order.\nAnswer: 5, 4\/9, 3\/10, -0.3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 670840 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 12*h**2 - 14*h - 14. Let z be i(-13). Which is smaller: -2\/35 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**3*s*u + 88*f**3*u**4 + 41*f**3 - 2*f**2*s wrt u?\nAnswer: -2*f**3*s + 352*f**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 48*w + 160. Calculate the lowest common multiple of y(14) and 5.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1621c (base 13) in base 8?\nAnswer: -122172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -56. Let h = v - 17.4. Let t be 2 - 6\/9*4. What is the closest to -2 in -1, h, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3596 divided by 899?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**4\/16 + 3*x**3\/8 - 3*x**2\/4 + 2*x. Factor z(m).\nAnswer: -3*(m - 2)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*q**2 + 193*q**2 + 2*q**3 - 93*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*k = -1367, 3*k + 460 = -2*h + 1363. Let c be (1 - -1)\/(14\/119). What is the highest common factor of h and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 4*i + 5. Let b(d) = -d**3 - 5*d - 6. Suppose -45 = 5*p - 5*s, 7*s = 3*p + 3*s + 30. Give p*l(r) - 5*b(r).\nAnswer: -r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n**2 + 2*n - 5. Let a = 7 - 11. Let g be h(a). Suppose -g*u - u = -76. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + p + 26 = 0, -3*w - p = 5 - 34. Solve 5*d - 5*l + 35 = 0, 0 = 5*l - 14 - w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3 - 7. Let z = g + -9. Let h(a) = 2*a + 3. Let m(k) = 2*k. Let s(r) = -r - 1. Let v(b) = m(b) + 5*s(b). What is z*v(q) - 7*h(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 11:35 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324220 is divided by 2299?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/(-35) + 0 + 0. Suppose -27*y + 32*y = 25. Suppose 0 = g - 0*g + 2*a - 5, -4*g = y*a - 11. Is u at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499064?\nAnswer: 2, 62383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/17 (b) 1\/7 (c) 2 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 6. Let q be l(10). What is the third derivative of q*b - 3*b**3 + 2*b**2 + 0*b - 4*b wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70.07 - -71. Let j = 0.3 - 0.37. Let y = k - j. Which is bigger: y or 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369834?\nAnswer: 2, 3, 53, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3.8. Let k = t + 0.6. Put -0.1, -2, k in increasing order.\nAnswer: -2, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Suppose -2*t = -3*v - 19, 2*t + 5*v = -i*t + 5. Let a be 36\/30 - (-4)\/t. Calculate the highest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452 = -6*y + 2*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202 and 1203112.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f + 513 = 15*f. Find the common denominator of (-72)\/f + 254\/12 and 103\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) - (1*sqrt(130)*-1 + sqrt(130))))\/((sqrt(90) - (sqrt(90) - -1*sqrt(90)) - sqrt(90) - sqrt(90))\/sqrt(9)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166254, 166253, 166252?\nAnswer: 166251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.65579 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 147, 216, 285?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176*o + 172*o + i - 10, -4*o + 32 = -8*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/17 - 83590936*y\/17 + 873430572669512\/17.\nAnswer: 2*(y - 20897734)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 6*j**2 - 7*j + 3. Let y be o(7). Suppose -y*g = -g - 18. Suppose 3 = 12*f - g*f. Solve 4*d = -7 - f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 391081732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1325 - 1319. Let q(j) = j**2 - 6*j + 5. What is q(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4. Let k(n) = n - 9. Let s be -5 + 7 - (-6)\/2. Calculate s*a(u) + 2*k(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((m*m**(3\/2))\/m)\/m)*m)**(-14\/9))**(-2\/19) assuming m is positive.\nAnswer: m**(14\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 6*m**2 + 5*m. Let h be b(-5). Let j = h - 0. Solve 5*f - 13 = 4*c, 3*c - 2*f + j*f + 1 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -2\/6235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 737*t**5\/60 + 53*t**3\/3 + 20*t**2 + 3*t. What is the first derivative of w(a) wrt a?\nAnswer: 1474*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 0 + 0 + 16 + (-9 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*x**4 + 2*b*x**3 - b*x - b - 198*x**4 + 881*x**2 wrt x.\nAnswer: 48*b*x + 12*b - 4752*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.296866494748 + -4.\nAnswer: -1.703133505252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32819.\nAnswer: 37, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*c - 173*c - a + 28 - 8 = 0, -4*a + 32 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42406 and 72982.\nAnswer: 17004806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 5*k**2 + 8*k**2. Let j(b) = 5*b**2. Calculate j(o(m)).\nAnswer: 180*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 1\/47 (c) -0.5 (d) -8.4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - g)*(-4*g**3 + 0*g**3 + 3*g**3) + 0*g**4 + 2*g**4 - g**4 + 0*g**4 + 3*g**4 - 6*g**4 + (0 - 4 + 0)*(g**4 - 4*g**4 + 2*g**4).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63455)\/(-5775) + -11)*-3.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5 + 2*c**3 - 6 - 4*c**2 - 3*c**3 - c. Let r(m) = -m**2 - 16*m + 53. Let k be r(-19). Give b(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10907051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30976898*q**4 - 704651*q + 3?\nAnswer: 371722776*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2556*o**2*y + 2*o + 23536*y wrt o.\nAnswer: -5112*o*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = 5*g, -2*h + 5*g - 1 = -5*h. Let x be 7\/((-21)\/(-9)) + h. Solve -k - 6 = -2*o, -6*o = -3*k - x*o - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/13, -0.0064, 3\/7, 32, 11\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 389?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -3, 2 in ascending order.\nAnswer: -68, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0099788879 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from miiiimimmmiiimmimm.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(234)\/sqrt(2) - ((sqrt(13) + 1)*4)**2.\nAnswer: -224 - 29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*l - 450*l - 7 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46502 is divided by 658.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 5) to base 9.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -40631*z**2 + 9*z. Let o be h(2). Let f = -63206 - o. What is f rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 134*s - 10. Let z(b) = -6*b + 1. What is 2*y(t) + 22*z(t)?\nAnswer: 136*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 57947 = -2*r - 0*r, 3*x - 9 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-20) + 8\/10. Let n(c) be the first derivative of c**4\/4 - c**3\/3 + c + 1. Let b be n(l). Solve -4*s + 15 = -b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2 + 4\/9 + 10\/9*p**3 + 14\/9*p + 2\/9*p**4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -16) + (-17 - 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280035773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9536.779 millimeters to nanometers.\nAnswer: 9536779000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16 + -16552799261.\nAnswer: -16552799261.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:58 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -98 in 2, 10\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c. Let x be j(8). Determine o so that 17*o**3 - 28*o**3 + x*o + 17*o**3 - 28*o**2 - 6 - 10 = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3588 + 2056 = 36*w - 5336. Calculate the remainder when w is divided by 113.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 5. Suppose -3*k - 4*v = -25, 4*k + 3 = -v + 19. Let l be k + 15\/(-25) + -2. Which is the closest to r? (a) 4 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -49*y**2 + 2*y - 15. Let o(d) = 12*d**2 + d + 3. Let i(b) = k(b) + 4*o(b). Determine i(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {z: 1, w: 2, j: 3, t: 1, h: 4, b: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 59*l - 2*l**2 + 42*l - 101*l. Let d(t) be the second derivative of -2*t**3\/3 - t. Determine d(z(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 447, 1277, 2495, 4107, 6119?\n\"Answer: j**3 + 188*j**2 + 259*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n + 4 = 0. Let v be 49\/147*(-1 + 10). Suppose v*q - n = -14. Sort 9, 2\/7, q in decreasing order.\nAnswer: 9, 2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l. Let a(w) = 13*w + 13. Let n(v) = 27*v + 28. Let t(y) = 7*a(y) - 3*n(y). Let i(q) = -q. Let g(z) = 6*i(z) + t(z). Calculate p(g(u)).\nAnswer: -8*u - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -186687.61 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**2 + 5*a - 5. Let z be 2\/(-6) - 38\/(-6). Let f be 3 - -3*(-2)\/z. Let l(r) = -7*r + 12*r - 16 + 22*r**f + 11*r. What is -5*l(i) + 16*x(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*h + 161*h = 14. Find the third derivative of -22*i**2 - 49*i**h - 79*i**3 - 58*i**2 wrt i.\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 + -3 + 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3842 times -55\nAnswer: 211310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a + 8*a**2 + 7*a**2 + 19*a**3 - 8*a**3 - 19*a**2 to the form v*a + q + w*a**2 + z*a**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1001105 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1468, 2945, 4436, 5947, 7484, 9053?\n\"Answer: r**3 + r**2 + 1467*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-5 + 1*sqrt(2) + sqrt(8)\/sqrt(4)*-1 + -1)*6 + 5))**2.\nAnswer: 15376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:53 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4381 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k. Let r be b(2). Let h(g) = g**3 - 2*g**2 - 7*g + 5. Give h(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 221999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (355\/20)\/(2\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**5\/20 - j**4\/12 + 2*j. Suppose -p = 1 - 4. Let m(u) = 0*u**2 - 5*u**3 + 3*u**2 + 4*u**3. What is p*d(o) + m(o)?\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1, -5268?\nAnswer: -5268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516222.\nAnswer: 2, 3, 7, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*u - 9, -2*u + 2*o = -0*u - 6. Let j be (1 + 3)*(-34)\/4. Calculate the remainder when -2 + 1 - (j + u) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j + 49*j = 105*j + 4*r + 26, 0 = -2*j + 3*r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 17*q**2 - 2*q - 6. Let j(w) = 2*w + 1. Let b be j(2). Is n(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 538, 1254, 2336, 3796, 5646, 7898?\nAnswer: 10564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l + 4. Let f(u) = 29*u - 1 + 3 - 2 - 27*u. Give k(f(y)).\nAnswer: 16*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 8*v - 202. Suppose -v*m = -6*m - 104. Let d = -12 - -21. Is d < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 43\/(-172) - (-13282)\/8. Let o = g + -754. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1651 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 85161 rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7569115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2332, -3\/26, 0.009.\nAnswer: -2332, -3\/26, 0.009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 265*g - 270*g - 120, -5*v - 140 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 608.\nAnswer: 54.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3915, 15610, 35085, 62340, 97375, 140190?\nAnswer: 190785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 5*g - 11. Give y(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -38. Let g(f) = f**3. Let w(t) = 8*t**2 + 4*t. Let y(p) = l*g(p) + w(p). Let y(m) = 0. Calculate m.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -234\/5 (b) 0.61 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232449 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5224 - -4?\nAnswer: -5220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 416 (base 11) to base 7.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**5\/30 - d**4\/8 - 5*d**3\/6 - 2*d**2. Calculate the remainder when u(6) is divided by (-78)\/52*(-52)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 9 + 3. Let j = -4 - -6. Solve 10 = 2*n - w*u + j, -5*u = 4*n + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 28*o + 32 = 0. Suppose -2*q + 2*h - 2 = 0, o*q + 0*q = -4*h + 36. Solve 0 = v + q*p - 2 + 3, -1 = p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(220)\/(sqrt(11) + sqrt(44)\/sqrt(4)) - sqrt(20)) + 0 + -2)**2.\nAnswer: 12*sqrt(5) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Suppose 7 = b*l - 2. Differentiate d - l*d + 4*d + 2 with respect to d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 + 2*k + 1. Let x(u) = u**2 + 5*u - 8. Let l be x(-6). Is 14 a factor of p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3499800*g**2*h**4 - g**2 + 2*g - 31574 with respect to h.\nAnswer: -13999200*g**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.8444758km?\nAnswer: 844475800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-22)*n\/(n\/(n*n\/(n\/(n\/n**24))))*n)**(50\/9) assuming n is positive.\nAnswer: n**(-2150\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*(-8)\/20 + -3 - -1. Solve -4*n - z*d - 3 = -1, 4*n = -d - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1241 (base 5) to base 4.\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 11:08 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2*-4)\/((-210)\/75)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1264 (base 9) to base 13.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 26.22. Let c = a + -0.2312. What is c rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 15 = 2*z + 155, -260 = 4*z - 5*t. Let o = 88 + z. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/28)\/(-1))\/(24\/112)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131977*j - 194505*j - 139477*j.\nAnswer: -465959*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**7\/280 - 7*d**6\/80 - 61*d**5\/80 - 21*d**4\/8 - 9*d**3\/2 + 4*d**2 + 7*d. What is g in f(g) = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -17. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/18))**(-48))**(-14) assuming o is positive.\nAnswer: o**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-1 - sqrt(1872) - sqrt(1872))\/((sqrt(44)*-1)\/sqrt(11)).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1004 and 13393109.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyue. What is prob of sequence yeu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 660 and 21.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000035537063 rounded to 7 decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 2*z**3\/3 - z**2 - 94*z. Suppose y + y - 10 = 0. Give x(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 15\/2, -3\/7, -2, 14, -0.048?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 4*h + 23. Let u(d) = -d**2 + 3*d - 22. What is -3*l(b) - 4*u(b)?\nAnswer: -2*b**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = 13*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 773\/6 + -125. Let m = 16 + -13. Is m greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238607?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/26 + (35875\/(-910))\/25*-19. Factor -185\/2*r - 31 - 183\/2*r**2 + 1\/2*r**4 - d*r**3.\nAnswer: (r - 62)*(r + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - p - 27000. Let t = 7 - 4. Suppose 4*u = t*b - 12, 0*u + 6 = -2*b - 2*u. Let d be q(b). Round d to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-7\/4))\/(l\/(l\/(l\/(l\/(l*l\/(l*l**(-23))*l*l*l)*l*l)*l))))**26 assuming l is positive.\nAnswer: l**(-1209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.051?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 1\/6*a**3 + 1\/10*a**5 + 2*a - 1\/4*a**4 + 0 - a**2. Suppose 0 = 4*j - 3 - 5. Calculate x(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdhd when four letters picked without replacement from hhhhhddhhhhdhh?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*f - 34*f - 2*m + 17, 3*f - 45 = -30*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q**3 - 6*q**2 + 6*q - 96. Let a(z) = 12*z**3 - 7*z**2 + 7*z - 94. Calculate -6*a(p) + 7*r(p).\nAnswer: -2*p**3 - 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*l**2 + 3 - 3 + 8 wrt l?\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44.6 + 1.2.\nAnswer: 45.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 418a49 + -62?\nAnswer: 418997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -51.6\nAnswer: 5.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:23 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-three tenths of a microgram?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*q - 20, -64 = s - 4*q - 51 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 3*j + 10, 0 = 2*j + 4. Let u = 9 - t. Suppose -10 = u*o - 6*o. Which is the second biggest value? (a) 0 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 0*j**2 - 3*j - 3 + 5 + j**2. Let z be t(2). What is the units digit of -1*2 + 8 - z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -35*l. Let h(s) = -s + 1. Let i(z) = -1. Let q(j) = -h(j) - i(j). Give q(m(w)).\nAnswer: -35*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(99) + 1*sqrt(99) + sqrt(99))*4 - ((-3 + sqrt(11) + sqrt(22)\/sqrt(2) + sqrt(11))*6 + 1))**2.\nAnswer: 684*sqrt(11) + 3925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 13*q + 120. Let b be o(6). Let d(x) = x**3 - 6*x**2 - x - 5. What is d(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*r + 16 + 19, 4*i = -5*r - 10. Suppose 4*f + 0 + 23 = -3*l, -r*f = -5*l + 5. Put -4, 0, f in descending order.\nAnswer: 0, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 567 + 29?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17596543?\nAnswer: 1699, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9 + 2 = -n, -n + 4*p = 9. Let m be (-4 - n)*(7 - (-130)\/(-15)). Solve -m*i = -35 + 45 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3*g*g**(2\/19))**(-34) assuming g is positive.\nAnswer: g**(-2652\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 12*m - 61. Let y be g(5). Is (y*(-2714)\/4)\/((-68)\/(-136)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 547612, 547618, 547624, 547630?\n\"Answer: 6*w + 547606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 701598691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/559 (b) 0.1 (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 5*h**3\/3 - 25*h**2\/2 - 70*h + 50. Factor u(k).\nAnswer: 5*(k - 7)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0461046 + 42.9732954. Let j = 43 - p. Round j to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.03936\nAnswer: -0.007872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/2213 + 147974\/657261. Calculate the common denominator of y and 53\/3.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 24 = -2*x, 4*x + 27 = 5*h - 30. Let a(q) = q + 26. Let b be a(x). Find the first derivative of 10 - b*c**4 - 3 + 5*c**4 wrt c.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 5 + 2\/(-2). Solve -4*x + x - m = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 3213*a - 5 + 1 + 3 - a**2.\nAnswer: 2*a**2 + 3213*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i\/(i*i**(-5))*i)\/(i\/i**(-2\/7))*(i\/(i**0*i))**(-2\/9)*(i**5*i*i*(i\/((i*i*i\/(i\/(i**(-3\/5)*i)))\/i))\/i)**(-12) assuming i is positive.\nAnswer: i**(-2082\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h - 85. Let z be b(17). Suppose -3*p + 2*k + 4 = 0, z*p = -4*p - 5*k + 36. Solve 5 = -p*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 5:40 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + c)*(-6*c + 3*c + c)*((3*c**2 - 5*c**2 + 0*c**2)*(-c + 4*c - c) + c**3 + 2 - 2) - 2*c**5 + 119*c**5 + 81*c**5.\nAnswer: 192*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 25729.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**5\/60 + d**4\/4 - d**3 + 57*d**2. Determine t(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p + 21. What is t(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**4\/4 + w**3\/3 + w**2\/2 - 3. What is b(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(4)\/(sqrt(2) + (sqrt(2) + sqrt(2)*2 - sqrt(2))).\nAnswer: -1 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/16 + (-40)\/(-32). Suppose -3*s = 4*c - 744, -11*c + z*s = -13*c + 358. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62*196\/9114)\/((-1)\/((-441)\/12)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**4\/12 + 24*u + 38. Let j(a) = 3237*a. Calculate c(j(p)).\nAnswer: -10478169*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 943 + -944.4. What is the closest to d in 0.07, 0.2, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/8644 and -83\/836?\nAnswer: 1806596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 - 5*f**2 - 4*f - 4. Is u(5) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -5, 3\/2, -0.5, 2\/23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3217754231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -3. Suppose -4 = -2*s - 3*n + 6, -5*s = -p*n - 25. Find the third derivative of -2*c**5 - c**2 + 2*c**s - c**5 + 3*c**5 wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2675.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/7)*a*a**(1\/2))\/(a**(-1\/8)\/a**(2\/9)))**(-40) assuming a is positive.\nAnswer: a**(-3215\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -51*t + 16. Is p(-2) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2593685 + -0.038.\nAnswer: 2593684.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2758000 + -5?\nAnswer: -2758005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 2\/11, 0.2, -60, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -533 (c) 0.036 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 128 - 17. Suppose -a = -0*v - v. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (-67 + 49 - (-18 - -7))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.82, 5 in descending order.\nAnswer: 5, 1, 0.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let u(g) = -2*g + 1. Let f = 11 - 15. Let w = 0 + f. Calculate w*a(y) - 3*u(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 112 = -73 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -959 + 964. Find the third derivative of 5*u**j - 19*u**4 - 10*u**5 + 4 + 17*u**4 + 0 + 22*u**2 wrt u.\nAnswer: -300*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2278239 + 1776038 = 19*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71244369 to the power of 1\/2, to the nearest integer?\nAnswer: 8441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 - 34. Suppose 2*b - 3*l = 22, -3*b - 5 = -0*b + 5*l. Suppose 13 = a - 0*a + 3*o, n = 5*a + b*o. What is the remainder when 13 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -437*w - 859. Let b be u(-7). Calculate the greatest common factor of 5600 and b.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-324)\/243 + 78\/(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353782487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -349, -350, -335, -298, -233, -134, 5?\n\"Answer: r**3 + 2*r**2 - 14*r - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7827121, -15654273, -23481425, -31308577, -39135729?\n\"Answer: -7827152*o + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773487561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 66 = 64. What is the remainder when -3 + 0 + 0 + 0 + 45 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12011 + 145*c - 276*c + 136*c - 12012.\nAnswer: 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**15*t*t**(-21)*t)**(-3\/14))**(-2\/19) assuming t is positive.\nAnswer: t**(-12\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 643369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 54*v - 4304. Calculate k(44).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -10*q**2 + 95*q + 50 = 0.\nAnswer: -1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3677553 * -0.01\nAnswer: -36775.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 8\/37 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 7:03 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4277*m + 4306*m = 493. Suppose -n + 5*n = -20. Put m, n, 3 in increasing order.\nAnswer: n, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 2*o**2 - 3*o - 2. Let g be p(2). Calculate the smallest common multiple of 2 and (g + 2)\/(0 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 - 6128125\/(-50) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**4 - 17*g**3 + 13*g**2 + 43*g + 29. Let y(u) = 9*u**3 - 6*u**2 - 21*u - 15. Let w(k) = -3*s(k) - 5*y(k). Suppose w(m) = 0. Calculate m.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43397, -173644, -390713, -694592, -1085269, -1562732, -2126969?\n\"Answer: 2*v**3 - 43423*v**2 + 8*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -26*k - 16. Let x be n(-11). Let t be ((-10)\/6)\/(15\/x). Let r be (-4)\/(-5)*t\/(-12). Solve 3*g - 2 = -r*c, -g + 0 + 2 = c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128773 - 72712. What is the thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Let x be -5*(2 + (-6)\/p). Suppose 7 = -l - x*w, -2*w = 3 + 1. Solve -3*g + 0*b + 5 = b, -b = g - l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*v - 3*d, 4*v - d - 18 = d. Let b(m) = 6*m - 1. Calculate the remainder when b(v) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -b + 13, -27*n = -22*n + 4*b - 37 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*m = 10, 144*f + 10 = 142*f - 3*m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 604649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66\/6 + (-10)\/2. What is the highest common factor of 69 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -49. Suppose 5*m = 5*f - 470, 2*m + d*m = -6. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2*u**5 - 43*u**4 - 28792*u + 3 + 28792*u)*(0 - 2 + 0).\nAnswer: 4*u**5 + 86*u**4 - 4*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/2424591 and 63\/2431?\nAnswer: 26670501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6789090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 729.8131 grams in kilograms?\nAnswer: 0.7298131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + r = -11, -4*y + 5*r = -5*y + 25. Suppose 0 = -k - 3*x + 592, 380 + 2580 = y*k - 3*x. Is k a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 29. Let n = -2 - -13. Sort s, 2, n.\nAnswer: 2, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/1415 and -51\/1115020.\nAnswer: 1115020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14605081.\nAnswer: 14605081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 464265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = -2. Suppose b - 2 = n. Let o = 4 - n. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 16*q**3 + 182*q + 0 - 182*q + (2*q**2 - 3*q**2 + 0*q**2)*(-33*q + 20*q + 24*q).\nAnswer: -27*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 715446059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p - 1. Let s be g(1). Suppose -w - 5*x + 4 - 34 = 0, s*w + 57 = -4*x. Let r = w - -29. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10074 and 0.1.\nAnswer: -10073.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/56 and -43\/2?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1199104 and 17408?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = t - 5*n, -4*t + 7*t = 3*n - 15. Let g = 8.29 - 11.29. Let u(c) = c**3 - 3*c**2 - 2*c + 4. Let b be u(3). What is the closest to -0.2 in g, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, t: 2, e: 5}. Give prob of picking 2 t and 1 s.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*n + 23 + 19. Let g = 0.003 + -0.503. Let v = -4\/19 + -49\/38. Sort n, g, v in increasing order.\nAnswer: v, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 4478\nAnswer: 9\/2239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79872329 is divided by 34712?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -5 (c) -4 (d) 18 (e) 217\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -11. Let n be 1\/(-2 - 10\/(-2)). Let f = -27.6 + 23.6. What is the nearest to y in n, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5\/4 + 19659*p**4\/4 - 96648555*p**3\/4 + 289827721*p**2\/4 - 72447102*p + 24147396 = 0?\nAnswer: 1, 9828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q**2 + 60*q + 38. Let c(o) = -17*o**2 + 120*o + 72. Let w(s) = -4*c(s) + 7*f(s). What is the tens digit of w(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i - 5. Let b be k(3). Suppose 7*y - b*y = 3. Sort -2, y, -3 in increasing order.\nAnswer: -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*(-2 + -3 + (sqrt(108) + (sqrt(108) - (sqrt(108) + ((1 + sqrt(108) - sqrt(108)) + 3 - sqrt(108))) - sqrt(108)))*2*-5))*-1.\nAnswer: -240*sqrt(3) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(5 - 1 + 0)*(54*c**4 - 3060 + 3060).\nAnswer: -432*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 399890.7 to the nearest one thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -9. Let h = 24 - 28. Which is the closest to -0.1? (a) y (b) -2\/9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfstgft. What is prob of sequence gt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3357936919 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 124. Let o(m) = -2*m**3 - 35*m**2 - 30*m - 21. Let a be o(-17). Let s = a + d. What are the prime factors of s?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2*q - 2606 - 394, 5*q = m - 1500. Suppose 5*g + 1482 = 3*b, g - m = -b - 2*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 - 84*b - 421. Calculate o(-29).\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 b when four letters picked without replacement from mmrmbmrbmb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 96625379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242870 and 266710.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.3 + -6. Suppose -h - 70 = -2*t, -4*t = -t + 4*h - 83. Let l be t\/(-72) - (-3)\/9. What is the second smallest value in l, -0.5, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/72)\/(18\/4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232350 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let x(h) = 5*h - 3*h**3 + 2*h**3 + 7*h**2 - 2*h**2 + 6. Let k be x(6). Solve 2*z = y*a + 14, z + a - 3 = -k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-27*x + 19*x**2 + 27*x).\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 divided by 1?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 17 = -5. Let g = -6 - -9. Let a = 0 + g. Solve a*c + 5*u - f*u = -16, -3*c + 3*u = -9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152)*-1)\/sqrt(8) - sqrt(19)) + sqrt(171)\/(1*sqrt(9)))**2*-4.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 6981*v - 7294*v + 6.\nAnswer: -313*v - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 781063 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08883 times -1114?\nAnswer: 98.95662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 136*x**3 + 794*x**3 - 7*x**2 + 4 + 2*x**2.\nAnswer: 658*x**3 - 9*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p - 19*p + 217*p**2 + 38*p**2.\nAnswer: 255*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193960, 776992, 1748712, 3109120, 4858216, 6996000, 9522472?\nAnswer: 12437632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(24) + sqrt(1536)*2 + sqrt(1536))\/sqrt(288) - (4 + (1 + sqrt(48))*-6)))**2 + 4.\nAnswer: 28609\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 3*n = -3*n. Is 1\/14112 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*m - 1106 = m, -750 = -2*z - 3*m. List the prime factors of z.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, 2, 0.5, -7\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-5) - (-37691)\/(-96). Let b = r - -4711\/12. Calculate the common denominator of b and -25\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c. Determine h(14).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 - i**2 - 4*i**2 - 87*i - 11*i**2 + 87*i + (3 - 2 + 0)*(-i + i**2 + i) + (2 - 2 - i**2)*(0 - 2 + 1) as g*i**2 + h*i + d and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85324245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - t**2 - 4*t - 1. Determine k(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126 (base 13) to base 12.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 6*l + 2. Let o be r(-5). Let y = o + -2. Let k = y + -3. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -2*g + 62. Suppose 3*s - 27 + 12 = 0. Find the third derivative of 0*q**2 - 4*q**s + 2*q**g - 5*q**2 wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*s = -10, 55*t + 1670*s - 217 = 1673*s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1536 and -5\/9057024?\nAnswer: 18114048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -427, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3 + 116 = -14*l, -3*s - 189*l - 19 = -187*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.03 + -0.03. Let l = 33 - 29. Sort 0.1, a, l.\nAnswer: 0.1, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -352, -5, 2, 4, 7 in descending order.\nAnswer: 7, 4, 2, -5, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -7.9.\nAnswer: 39.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-60)\/8)*2 - 0. Suppose 3*u - v = -7. Calculate the lowest common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7629 = -b, 2*b - 21565 - 8963 = -4*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 m be ((-86)\/(-4))\/(1\/(-2)). What is m rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**6\/60 + 17*k**4\/12 - 20*k**3\/3 + 24. Let p(a) be the third derivative of q(a). Differentiate p(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 267?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -3*a**5\/20 + 2*a**4\/3 + 3*a**3\/2 + 3*a**2\/2 - 15*a. Let t be q(-4). Let l = 414 - t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14258583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:23 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 8. Let g be c(-7). Let j = g - 6. Suppose j = -2*l - a + 4*a + 25, 0 = -4*l + 3*a + 47. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 27*q - 4. Let i(m) = -26*m + 3. Suppose 372 = -158*k + 34*k. Calculate k*a(t) - 4*i(t).\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbe when three letters picked without replacement from tbtteetbbtee.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzfz when four letters picked without replacement from {j: 7, z: 2, f: 4, q: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1299*n - 993 + 500 + 493 + 8 + 2*n - 8 - 4 - n + 4 + (2 - 1 + 0)*(-1 + 1 + 2*n) as k*n + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = m - 13, -m = 2*q - 3. Solve m*f - 23 + 8 = -2*t, -t - 4*f + 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21*-1*(-14)\/6. Suppose 0*d - 5*z = -4*d + f, 3*z = d - 21. Solve 18 = -3*m + d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (17 + -24 + 16)) + 15 - -35?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 69293 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -122*a**4 + 21*a**3\/2 + 2*a**2 - 16*a - 23. What is the second derivative of q(c) wrt c?\nAnswer: -2928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 5, -48, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6294804259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 10350354?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 839*y**2 + 57791*y - 73. Calculate k(-64).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - 9*x + 22. Let g be i(2). Let k(n) = -2 - 1 - n - g - 3*n. Determine k(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.66632 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -259*b + 201. What is the thousands digit of s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49813*h + 5*q + 110 = -49818*h, 4*h - 3*q = 45 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 217 - 215. Suppose -j*m = 5*b - 20, -b - b - 5*m + 29 = 0. Find n such that -32\/13 + 16\/13*n - 2\/13*n**b = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-8 - -6) + 0 - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, 381, 1091, 2085, 3363, 4925, 6771?\nAnswer: 8901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -103*h**2. Let u(o) = -890 - 3*o + 1776 + 35*o - 886. What is u(d(j))?\nAnswer: -3296*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (16 - 7) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 6\/11 (c) -0.1 (d) 4.5 (e) -29\/5 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -12. Suppose 5*q = -p + 13, 2*q - 5*p - y = -p. Solve 0 = -5*w + q*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 446*b**5 - 5396*b**2 wrt b?\nAnswer: 26760*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -574?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 10:07 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.89394 - -0.10606. What is the nearest to 2\/11 in -1\/6, z, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -373 - -369.8. Let g = -2.9 - n. Let l = -0.3 + 0.1. Which is the second biggest value? (a) g (b) 5 (c) l (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -133*o + 10. What is the tens digit of n(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(17) + sqrt(85)\/sqrt(5))*2 + 2 + sqrt(1088).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 34 - 6*x)*((x - 2*x + 2*x)*(-5 + 4 + 3) + 3 + x - 3) as d*x + k + l*x**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r*r**(-2)*r)\/r))**(2\/19)\/(r**(2\/7))**(-49))**(-39))**40 assuming r is positive.\nAnswer: r**(-421200\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u + 16. Let q = 3 + u. Is -1 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/1370 and 30\/1507.\nAnswer: 15070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 2:05 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, -27, -71, -99, -105, -83, -27?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.9 + -7.9. Let f = 0.9 + -1. Let g be 2\/(-9) - (-7)\/(-63). What is the nearest to f in 4, o, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24497.26 millilitres?\nAnswer: 24.49726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 35712 = 10*a. Suppose 23*p - 25*p + a = 0. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -16, 0, 45 in descending order.\nAnswer: 45, 2, 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-3)*(-3)\/1. Let a = t - 4. Find the third derivative of -a*j**6 + j**6 - 2*j**2 + 3*j**6 wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0133 and -20876?\nAnswer: -277.6508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 3*w**2\/2 + 9*w + 415. Give b(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10634048*w**4 - 6401789 with respect to w.\nAnswer: -42536192*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 32 = 6*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -423 - 12?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 921 and 235267.6.\nAnswer: 236188.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28613 + -27839. What is the greatest common divisor of 126 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**2*n - 697*c**2*v - 1158*c**2 - 566*c*n**3 + 50341*n*v wrt n?\nAnswer: -c**2 - 1698*c*n**2 + 50341*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 2*u**3 - 3*u + 3*u**2 - u**3 - 3*u**2 + (4*u + u**3 - 4*u)*(-4 + 0 + 3) - 30*u**2 + 30*u**2 + 18*u**3 + (1 + 2*u - 1)*(-4*u**2 + 2 - 2).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/2)*q\/((q**(-3)*q)\/q))\/(q*q**(1\/3))**(3\/2)*(q\/(q\/(q*q*q**1*q))*q*q**(-1))**31 assuming q is positive.\nAnswer: q**(249\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(36\/(8 + -4)))\/1. Which is the nearest to 1? (a) r (b) -3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -4, -2\/15, -7 in increasing order.\nAnswer: -7, -4, -0.8, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12041418064 from 1.2473.\nAnswer: -12041418062.7527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.71366*0.06\nAnswer: -0.0428196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**2\/2 - 1147. Let j(y) = 1704*y**2. Give a(j(o)).\nAnswer: -1704*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/17, 646, -4, -3\/2, -41\/5?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 264 + 6a157?\nAnswer: 6a410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26249, 27224, 28205, 29192, 30185, 31184, 32189?\nAnswer: 33200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by -9?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -29*z + 2. Let q be h(-2). Suppose -31*p + 136*p + 119*p - 27384 = 61*p. Calculate the highest common divisor of q and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 54711, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.93 + -0.03. Let w = -0.8 + n. Let x = 3 - -1. Sort w, x, 2\/5 in decreasing order.\nAnswer: x, 2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwiwwwiw?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -39. Let t = i - -16. Let s(u) = -125*u + 4. Does 22 divide s(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-7369 - -49))\/((-3)\/30).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4 in -2\/5, -6, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 + 13 + 227*c**2 + 190.\nAnswer: 227*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 1. Suppose b*u - u = 10. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -37*q**2 - 71*q - 7. Let y(u) = -76*u**2 - 149*u - 15. Let z(c) = -13*r(c) + 6*y(c). What is z(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 9*v**2 - 4*v - 11. Let t(k) = k**2 - 8*k - 9. Let w be t(8). Is i(w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than 385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13250 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 2*j**4\/3 + j**3\/6 + j**2\/2 + 5*j. Let c be o(-2). Suppose 4*y - c = -7. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(-6)*h))\/h**(-3)*(h\/(((h\/(h*h**(2\/5)))\/h*h)\/h))\/h**(-2)*((h*h**(-1\/4)*h*h)\/(h\/(h**(-6)\/h*h)))**(2\/157) assuming h is positive.\nAnswer: h**(22523\/1570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, b: 2, t: 5}. What is prob of picking 1 b and 3 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 5*z - 10. Let c be d(5). Let x be (-12)\/c*(-225)\/30. What is the common denominator of 119\/6 and 267\/x*18\/(-48)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**3 + 20*t**2 + 43*t + 209. Determine q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2797992426 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-378.\nAnswer: -1890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2394\/56)\/((-1)\/(-16))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/(6\/(-8)). Let h be 1\/(9\/(-3) + 4). Let b(o) = o - 2. Let v(k) = 2*k - 7. Let i(x) = h*v(x) - 4*b(x). Give i(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 775 + -78?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 14*x - 2. Let c(u) = -13*u + 1. Let h(a) = -4*c(a) - 3*g(a). Suppose 2*s = -2*s + 48. What is the smallest common multiple of s and h(2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/483)\/(54\/63*(-3)\/(-6))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-4)\/(-32)*2. Let p be (f + 0)\/3 - 12\/(-36). Solve 2*b + 1 = 3*d, -4*d + p*d + 5 = b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 0*w**2 + 3*w**2 - 7*w - 3*w**2 - 3 - w**2. Let l be b(-6). Let y(q) = -3*q**2 + l*q**2 - 3*q**2 - q**2. Let i(k) = -2*k. What is i(y(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1870299 is divided by 40648?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 934492?\nAnswer: 934489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a - 9. Let g be y(-8). Let q = -33 - g. Let x = 671\/7 + q. What is the nearest to -2 in 2, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -4. Let l = -22 - q. Calculate the highest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-38173\nAnswer: 11451.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*k**2 - 27*k**2 + 79*k**2 - 31*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 - 10 - 1185 - (-35)\/(-15)*-3. Put k, 4, -4 in descending order.\nAnswer: 4, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -13.1, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3282 = -4*m + 1774, -5*j + m = -12596. Let h be (-6)\/(-14) - (j\/(-637))\/(-6). Which is the second biggest value? (a) -2\/5 (b) 4 (c) 1\/4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -41, -4, 5, 0, -75 in descending order.\nAnswer: 5, 0, -4, -34, -41, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -o, -o + 16 = 3*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034438436 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 - 56*m**2 + m + 54. Calculate i(-28).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10763 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 17.1413\nAnswer: -291.4021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (-190)\/(-19))*(-10)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205190 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, k: 2, t: 3}. What is prob of picking 1 d and 2 t?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-2\/7))**(-16\/11))**43 assuming d is positive.\nAnswer: d**(-8256\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 - -188)\/(3\/2). Let v = m + -59. Let n = 98 - v. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/315*-5)\/((-6)\/28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 547 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s = -20. Suppose 4*d = r + 4*r - 272, -s*d = 4*r - 196. What is the remainder when r is divided by ((-144)\/20)\/(48\/(-120))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-13)*k**(-1\/12))\/((k*k**(3\/7))\/(k*k*k*k\/k**(1\/6)*k*k)) assuming k is positive.\nAnswer: k**(-215\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 115*r - 118*r + 2136, r = 2*n + 712. Calculate the greatest common divisor of 32 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 5*f**2 + 3*f - 12. Let h be l(5). Let u be (38\/(-114))\/((-1)\/12). Is u > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/109, -1\/14, -92 in decreasing order.\nAnswer: 8\/109, -1\/14, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (450\/(-20))\/(-15)*(-840)\/(-42)*(-36)\/8\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59993327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -83. Let a be (-11)\/(-4)*46\/(-253). Put a, j, -1\/3, -1\/4 in decreasing order.\nAnswer: j, -1\/4, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 = -4*g + 3*y, -3*g = -2*y - 2*y - 290. Let q = g - 51. Let d = 77 - q. What is the remainder when d is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**9\/u**(-8)*(u*u*u\/u**(1\/4)*u)\/(u\/(((u**(-2)\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 0*i**2 + 0*i**6 + 0 + 6*i + 0*i**4 + 0*i**5 - 1\/7*i**7 + i**3. What is the second derivative of t(y) wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, -1, -19, -45, -79, -121?\n\"Answer: -4*d**2 + 2*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p = v + 30*p, -3*p = v - 6*p. What is the fifth smallest value in 15, v, -4, 5, -3\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482638610.\nAnswer: 2, 5, 421, 114641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = v - 3*s, -4 = -s. Suppose v*j + 3*j = -65. What are the prime factors of (-6)\/5*(j - -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, -2, 5, -1, 0, -688 in descending order.\nAnswer: 5, 0, -1, -2, -177, -688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.1 (b) 6 (c) -3\/4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1137812, 1137797, 1137782, 1137767, 1137752, 1137737?\nAnswer: 1137722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 21*p**2 + 43*p + 50. Let l be w(23). Let o(m) = -5*m + 2. Let i be o(4). Is i less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130 - -132. Let t = 0 - 0. Suppose t*z = -z. Solve z = -2*d - h*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284480 divided by -142240\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1, -57, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 107149, -3 in decreasing order.\nAnswer: 107149, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -8 + -8)\/(-1). Suppose 58 - x = 9*j. Factor -2\/7*l**4 + 0*l + 2\/7*l**j - 2\/7*l**3 + 2\/7*l**2 + 0.\nAnswer: 2*l**2*(l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 - 109. Let u(x) = x**3 - 165*x**2 + 1677*x - 803. Let t(f) = -3*f**3 + 661*f**2 - 6707*f + 3213. Let a(s) = j*t(s) - 26*u(s). Factor a(l).\nAnswer: -4*(l - 20)**2*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 660*f**2 + 165 - 83 - 82 in the form d + v*f + m*f**2 and give m.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/12270 (b) -5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 43523, 43744, 44111, 44624?\n\"Answer: 73*x**2 + 2*x + 43448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1053)*-5 + 1 - sqrt(1053))**2 - (6*(2 + sqrt(208)))**2) + 0)*4.\nAnswer: -2736*sqrt(13) + 121108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5242 + -2114. Calculate the remainder when h is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -62 times -263\nAnswer: 16306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4158540127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.05 (c) 552.71 (d) -1\/4 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*-2*(0 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, -25, -48, -75?\n\"Answer: -2*t**2 - 13*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r. Suppose -z = -6*t + 22, -2*t = z - 0*z - 10. Let v(j) = -27*j. Calculate t*v(f) - 18*n(f).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2. Let y(r) = 2*r. Let j(f) = 21*f. Let l(m) = m + 8. Let d be l(-7). Let w(u) = d*j(u) - 12*y(u). Give w(o(a)).\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2634 + 3999 = 9*r. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1427 divide 325440193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 90*(-3)\/(-4)*(-168)\/315?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 2*n**5\/5 + 68*n**4 + 28*n**3\/3 + 2*n - 125. Find the third derivative of b(f) wrt f.\nAnswer: 48*f + 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**5 - 2*t**3 - 2*t**2 + t. Let j(z) = z**2. Suppose -5*y = 30 - 0. Let p = 6 + -9. Let i(c) = p*r(c) + y*j(c). Let i(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 29 = p, 2*p - 40 = -w + 5*w. Suppose p - 9 = 5*m + 4*c, 3*m + 9 = 4*c. Sort m, 2\/3, 2 in descending order.\nAnswer: 2, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 52*l + 3*l**2 - 6 - 3 - 24*l - 19*l. Let t(m) = m**2 - 1. Let g(k) = -s(k) + 2*t(k). What is g(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 8*u**2 + 7*u - 2. Let i be (-14)\/((-1)\/((-4)\/(-8))). Let s be h(i). Let y be 9\/(-3) + (-15)\/(-8). Is s greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 17, -1\/5, -16 in decreasing order.\nAnswer: 17, -0.02, -1\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40640 = -373*w - 805*w + 162*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 7 + 10*n**2 + 0*n**3 + 6*n - 32. What is the tens digit of k(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrggsjrrulsrrsrrrl. What is prob of sequence sgg?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -275 - -308. What is the remainder when 295 is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 2, -5, -57855, 1 in increasing order.\nAnswer: -57855, -5, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**8\/168 - 7*i**4\/24 - 5*i**2. What is the second derivative of m(x) wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 222, 193, 114, -33, -266, -603, -1062?\nAnswer: -1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from dnbnnnxndbbx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*p = 10, 5*l - p = -0*p - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2)*(-9)\/(-3). Suppose o*a - a - 14 = 0. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9217, 9220, 9223, 9226?\n\"Answer: 3*m + 9214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 83274056?\nAnswer: -5\/83274056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 312 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 14*z + 4. Let w be m(-7). What is the second derivative of 6*t + 13*t - 8*t + 3*t**w wrt t?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 42343926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 22\/15*f**4 - 14\/15*f**3 + 22\/15*f**2 - 4\/15*f + 6\/5*f**5 = 0. What is f?\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 5*g**2 - 4*g + 1. Let v be d(3). Solve -15 = v*i - 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -25, -15, -3, 11, 27, 45?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -x + 5*t - 65, -x + 5*t - 57 = 0. Let c = 67 + x. Let q be (c\/4)\/(7\/(-4116000)). What is q rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 740 and 60392140.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -2. Let c = v + 9. Which is greater: c or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 8:35 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - 0. Let v = q - -15. Let r = 8 - 5. Which is the closest to v? (a) 5 (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+-513\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69758?\nAnswer: 2, 13, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzzqzqzqqzzz. What is prob of picking 3 z and 1 q?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Suppose 2 = -y*r + r. Find the second derivative of -u - 3*u**5 + u**5 - r*u wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2\/9 - 278620*a\/9 + 185744\/3 = 0.\nAnswer: 2, 139308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*i - 198 = 0, -2 - 2 = 2*i. Let a = -809\/8 - s. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8085969 is divided by 1103?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*m**2 + 5 - 32*m**2 - 41 wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116 or 200005?\nAnswer: 200005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2 - 770*i + 5760. Calculate m(88).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*t = 20, 0*c + 4 = -3*c + t. Suppose 3*x = -f - 2*x - 4829, c = -2*x - 10. Is ((-8)\/16)\/(2\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79323*t*z**3 - 2*t*z**2 + 2*t*z - 1270059*z**3 with respect to t.\nAnswer: -79323*z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 - 865*x**4 + 17370*x**3 - 116090*x**2 + 198625*x + 332955 = 0. What is x?\nAnswer: -1, 7, 9, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 2*d**2 - d + 4. Let l be w(3). Suppose i = 3*c - 22, 5*c - i - 27 = 9. Suppose l = 3*v + c. Solve 4 - v = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 4*d**3 - 5*d**2\/2 - 7. What is the second derivative of o(i) wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5611 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65624 and 196872.\nAnswer: 196872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + -2*(0 + sqrt(704))) - (3 + (sqrt(704) + 1)*-5 + 0))**2.\nAnswer: -2288*sqrt(11) + 85353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -253359*g**5 + 32*g**3 - 20437224*g + 1 wrt g.\nAnswer: -5067180*g**3 + 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -126.944.\nAnswer: -50.7776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 30*f - 428. Let t be o(8). Let k(l) = 130*l - 520. Give k(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 40 = 2*n + 74, 111 = -2*n + z. Let p be (-192)\/n + (-3)\/7. What is the third derivative of -8*v**6 + 11*v**6 + p*v**2 + 2*v**2 - 14*v**6 wrt v?\nAnswer: -1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4856 + 11470978939\nAnswer: 11470983795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -0.07 (b) 2 (c) 1\/6 (d) -55 (e) 0.114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1306827 and 1917?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + y + 35, -2*y + 3*y - 70 = -5*q. Suppose 13*n = q*n. Solve n = 2*m - 7*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 10*f**2 - 22*f + 34. Suppose 2*n = -13 + 5, 3*n = 2*o - 270. Calculate the remainder when o is divided by z(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96135081 is divided by 708.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**2\/2 - 46. Suppose 6 = -3*m - 6. Give l(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38091 * -2565\nAnswer: -97703415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8\/2263?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i + 57. Let l be j(11). Let p(n) = n**2 - 12*n + 3. Let f be p(12). Let a = l - f. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and 325.0514459?\nAnswer: 331.0514459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 1, 1\/6, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 14.06. Let h = 0.25 - x. Let t = h + -0.41. What is the nearest to t in -5, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 71070*b + 104 = 71073*b, 3*g - b = -33 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215760135 a multiple of 896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**6\/3 + p**4\/12 + 68*p**3\/3 + 78*p. Find the second derivative of n(r) wrt r.\nAnswer: -120*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d + 0*d + 3*d)*(2 + 15 - 5) - 2*d + d - d in the form t*d + i and give t.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5*(sqrt(5200)\/sqrt(4) + -3) + -3)**2 + -3 + -3).\nAnswer: -3600*sqrt(13) + 97914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -756, -110, 3 in decreasing order.\nAnswer: 4, 3, -110, -756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 0.07, 9.2, 1, -2\/55, -6\/77?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -199\/4271760 and -143\/16270380?\nAnswer: 1106385840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 9, 2\/9, -3867, 72, 0.3, 4 in ascending order.\nAnswer: -3867, 0.2, 2\/9, 0.3, 4, 9, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 12*q**2 + 12*q + 15. Let x be i(13). Suppose -b - 7 = x*m, 6*b - m = 2*b - 1. Is (77 - b)*(-7)\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, r: 2, s: 1, c: 1, n: 2, h: 2}. Give prob of picking 2 k, 1 r, and 1 s.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -134 - -54?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 907 and -0.892.\nAnswer: -809.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18729, -18757, -18819, -18933, -19117, -19389?\nAnswer: -19767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 4:13 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.153 + -0.228. Let m = -321.925 + 318. Let g = m + f. What is the third biggest value in 1\/5, g, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -50 + 0 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t. Suppose -s = 1, -2*f + 7 = -0*s - 5*s. Let x(o) = 2*o + 2. Let r(y) = y + 1. Let m(d) = 13*r(d) - 6*x(d). Determine f*g(n) - 2*m(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334b46 (base 12) in base 2?\nAnswer: 100101010010100001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026 divided by -89?\nAnswer: -2026\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l**2 - 3*l - 1. Let q(c) be the third derivative of 4*c**5\/15 - 5*c**4\/24 - c**3\/3 + 220*c**2 - 1. Determine -3*q(v) + 5*s(v).\nAnswer: -8*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11463*j**3*k**2*q - 3034*j**2*q - 4*j + 3*k**2*q - 5*k*q - 119931*q wrt j.\nAnswer: -68778*j*k**2*q - 6068*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8026 + -47?\nAnswer: 7ece","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cncn when four letters picked without replacement from ccnccnn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.127 - 0.127. Which is the nearest to r? (a) -2\/3 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 4*n**2 - 2*n - 4. Calculate k(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 8*w + 130. Suppose 4*b - w = -3*s, s + 4 - 12 = -b. List 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 next term in 11496483, 11496436, 11496389, 11496342, 11496295?\nAnswer: 11496248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994 + -6?\nAnswer: 1988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/7 - 18*l**2\/7 + 20*l\/7.\nAnswer: -2*l*(l - 1)*(l + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 11 + 6 = 0. Let p be 1\/(14\/4 + -1). Put 3, p, f in decreasing order.\nAnswer: 3, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 166668236?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/(-12))\/3*42. Let o = l - -32. What is the closest to 0 in 0.4, 4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 8:08 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 66*g = -242 - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001001 + -111101?\nAnswer: -110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + -114?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.511 - 0.5209. Let z = -0.1099 - u. Is 361 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 6. Let i = -14 + 8. Determine u(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2960882, 5921767, 8882652, 11843537, 14804422?\n\"Answer: 2960885*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (4 - (13 - 2)) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1007, 1084, 1237, 1484, 1843, 2332, 2969?\nAnswer: 3772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179542 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 - 136.2. Let m = u - -9.8. Sort 1\/25, 1\/2, m in ascending order.\nAnswer: m, 1\/25, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71\/510 + -2\/51. Let a(y) be the first derivative of h*y**2 - 1\/20*y**4 + 6 + 0*y + 1\/15*y**3 - 1\/25*y**5. Factor a(u).\nAnswer: -u*(u - 1)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**5 - p**4 + p**3 - 3*p**2 + 1. Let s(n) = 3*n**5 + 39*n**4 + 133*n**3 + 157*n**2 + 64*n + 1. Let y(t) = -i(t) + s(t). Factor y(l).\nAnswer: 4*l*(l + 1)**2*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9720240221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/9 (b) 0.4 (c) -238\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -595.8197 and -3549.\nAnswer: -4144.8197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - 43?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**6*(l\/(l**(24\/5)*l))\/l assuming l is positive.\nAnswer: l**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -1 + 2 - -14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5153?\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {m: 4, l: 2, g: 1, r: 1, z: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 13. Let p = 10 - 0. Let d be i(p). Let q(u) = -u - 6. Calculate q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d1d (base 14) to base 9\nAnswer: -3471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 11*o**2 + 9*o - 9. Let w be u(-10). Suppose -3910 = 10*l - 3860. Put -4, l, w, -22 in descending order.\nAnswer: w, -4, l, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1398, -1574, -1820, -2130, -2498?\n\"Answer: l**3 - 41*l**2 - 60*l - 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 1. Let l be g(-2). Let q(d) = -d - 1. Let o(u) be the second derivative of u**2 - u - 394. Calculate l*q(v) + o(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 2*y + 15. Determine u(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5776115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 13*g + 9. Let z be o(-14). Solve -z*a**4 + 15*a**4 + a**5 + 7*a**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24620\/(-114483)*(-18)\/60.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12d8 (base 16) in base 6?\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958 is divided by 184?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + x + 1 + (6 + 4 - 7)*(-4*x + 9*x + 2*x))*(5 + 35*x**2 - 5).\nAnswer: 770*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.314? (a) 5\/3 (b) 2 (c) 3 (d) -5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176871462 is divided by 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7912249 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 64*u + 4. Let m be w(32). Let i be -2*(-7)\/(28\/6). Which is the closest to -1\/4? (a) i (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a + 11. Let o be u(5). Let q be o\/(-26) - (6\/39 - 0). Solve q = z - 21 + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 638*d + 3189. What is k(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28924179 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -9*m**3 + 169*m**2 - 5*m. Let d(y) = -11*y**3 + 169*y**2 - 6*y. Calculate 6*d(l) - 7*j(l).\nAnswer: -3*l**3 - 169*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 24. Suppose -2*a + 2*d + 17 = 3*a, -3*a + 5*d + 14 = 0. Solve -a*c - y = -7*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -5. Let u be d*10*5\/(-2). Let k be 55\/u - 2\/10. Which is smaller: 2\/3 or k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 15408*k**3 + 3*k**2 + 4*k + 1. Let a be d(-3). Round a to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8\/5 (b) -2\/85 (c) -1\/5 (d) 4 (e) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**2*t**2 - 4*c**2 + 740*c*t**2 - 38192*c*t + 16*t**2 wrt t.\nAnswer: -8*c**2 + 1480*c + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12528110473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 8. Let v be (-18)\/(3 - (2 - -3)). Let w = v + -15. What is j(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/9*(-3)\/(-2). Let x = -15 + 25. Suppose -h*n + x + 60 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -x + 80, -3*g + 191*x - 23772 = -8492 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1315 - 1311. What is the third smallest value in -47, -1\/2, 7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83 - 34) + -47 - (-5 - -1 - 0 - 24)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -125032788.0537 less than -231?\nAnswer: 125032557.0537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124363110?\nAnswer: 2, 3, 5, 337, 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5213 (base 6) to base 4\nAnswer: -102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ac + -26?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23 - -19)*(13\/4 - 3). Which is the nearest to q? (a) -2\/17 (b) -0.12 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*v - 35*v + 79*v)*(v + 0*v + v + (3 - 3 + 2)*(-4*v - v + 3*v) - 2139 + 78*v + 2139).\nAnswer: 1596*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1304 and 46\/1141.\nAnswer: 9128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 408493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c54 (base 15) in base 5?\nAnswer: -301104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1.088.\nAnswer: 2.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 25*y = 36. Solve b + 8 = -4*i - 2*b, 0 = -3*b - y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i + 2. Let l be c(-2). Let b = -6 - l. Let h be (-69)\/(-3)*(b - 1). Calculate the highest common factor of h and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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 comes next: 17, 33, 49, 59, 57, 37?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26428?\nAnswer: 2, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 3 (b) -17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011386823 rounded to 7 dps?\nAnswer: 0.0011387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(153)*2 - sqrt(153)) + 2)**2 - sqrt(153)) + (5*(1 + sqrt(17)) + (-4*(0 + sqrt(17)) - sqrt(17)))**2.\nAnswer: -760 - 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -171*f**4 - 39447*f**3 + 1170916819 wrt f?\nAnswer: -684*f**3 - 118341*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -40. Let n = k + 8. Let z(y) = 29 - n - y**2 - 19. Let b(q) = 9*q. Calculate z(b(g)).\nAnswer: -81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 56522253 = 18722253. What is c rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*h - 64*h - 5*y - 81 = 0, 2*y + 35 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340407.8 centuries to months.\nAnswer: 408489360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*(-18)\/36*60\/(-8)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320 + 1012310230?\nAnswer: 1012303310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -438*j**3 + 36988*j**2*v**2 + 139492*j*v**2 + 306*j*v wrt j.\nAnswer: -2628*j + 73976*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/7, -1\/10, 0, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21990 < 109954\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + -1 + (-14 - -1) + 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 20. Let p = 0.4 + -0.6. What is the closest to r in -1, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5392293 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 2616224?\nAnswer: 13081120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33940?\nAnswer: 2, 5, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + 10*y**3 + 2*y**3 + (5*y**2 - 4*y**2 - 3*y**2)*(y - 4*y + 0*y) + 7*y**2 - 7*y**2 - 2*y**3.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 - 7292*p**2 - 3578*p?\nAnswer: 12*p**2 - 14584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 196941?\nAnswer: -19694.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.45 - -0.19. Let i = -0.15 - 0.22. Let f = v - i. Sort -3, -3\/4, f in increasing order.\nAnswer: -3, -3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (38228\/8 - -2)\/((-3)\/8). Let y be 3\/(12\/v) - (0 - -3). What is y rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 4:30 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 20, 26, 32, 38?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -75354, -75349, -75338, -75315, -75274?\n\"Answer: z**3 - 3*z**2 + 7*z - 75359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccv when four letters picked without replacement from aavdacvcccadcj?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m - 4. Let r(f) = 2*f. Let h(v) = 3*v. Let b(k) = -5*h(k) + 8*r(k). Determine b(d(s)).\nAnswer: 8*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 320c9 + -116?\nAnswer: 31eb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 19*w**2 + 15*w - 58. Let z be i(-18). Suppose -4*o - 31 = 3*j, 4*o - 5*j - 4 = 5. List the prime factors of ((-16)\/6)\/z*(-1074)\/o.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*d - 18 + 18)*(-4 + 2 - 3) + d + 1 - 1 + (1 - 2 - 1)*(3*d - 4*d + 3*d).\nAnswer: -138*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shssshshhhsskh. What is prob of sequence kk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - 7. Let q = -22.3 - b. Sort -2, q, 2 in ascending order.\nAnswer: -2, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -11*a**7\/210 - a**4\/24 + 21*a**2. What is the second derivative of c(g) wrt g?\nAnswer: -132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 3) in base 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96*z**3 - 204*z**2 - 579*z - 279.\nAnswer: 3*(z + 1)*(4*z + 3)*(8*z - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 o when four letters picked without replacement from {n: 2, o: 2, b: 8}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 - 1)*(3*r + 3*r - 4*r) + 2*r - 4*r + 4*r)*(-r**2 - r**2 + 0*r**2)*(-1 - 6 + 0).\nAnswer: 168*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49321807*w**2 - 11574779 wrt w.\nAnswer: 98643614*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 30161.70379 to zero decimal places.\nAnswer: 30162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by 361?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 2240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3915.921 rounded to the nearest integer?\nAnswer: -3916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 2, n: 4, h: 4, f: 1, w: 3}. Give prob of picking 1 h, 1 f, and 1 n.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -24*i**3 - 30*i**2 - 3*i + 18. Let x = -2 - -1. Let j(k) = 2*k**2 + 4 - k**3 + 5 - 3*k**2 - 8. Let h(b) = x*t(b) + 15*j(b). Factor h(r).\nAnswer: 3*(r + 1)**2*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 3 + (-1 + 0 + 0)*(-3 + 3 + 2))*(-1 + 0 - 3)*(8 - 5 + 8)*(-2*i + 2*i - 2*i**4) to r*i**4 + d*i + z*i**2 + p*i**3 + w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 4 - 4)*(-3*n + 2*n + 3*n) - 4*n**2 + 6*n**2 + 8*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 29*p**2 - 34*p + 20. Let t be l(-21). Let y = -4732 + t. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12204119 and 1349.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 8*d + 3*j + 8568, j - 6413 = -3*d. What are the prime factors of d?\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 18) + (21 - (10 - (-8 - -6))) + 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 - 154. Find the first derivative of -7*b**3 - 2*b**2 + 33 - 9*b**3 - 23 - 3*b**v wrt b.\nAnswer: -57*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 3:03 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, k: 2, u: 4}. Give prob of picking 2 u.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + -15. Let t = q + 38. Which is the closest to t? (a) 0.3 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*(-6 + -10 + 17)\/(-1*1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 7. Let s be b(5). Let g(z) = 4 - 2 + z - s + 6. Let t be g(0). Calculate the highest common factor of 45 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6234545 hours to microseconds.\nAnswer: 2244436200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 113733362*f**2\/9 - 135979312*f\/9 + 40644128\/9.\nAnswer: 2*(7541*f - 4508)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 170 = 5*v, -v - 82 = -x - 0*v. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31, -0.0287, 5, 1, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 - 63760?\nAnswer: -63723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -199, -452, -815, -1294, -1895, -2624?\nAnswer: -3487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/15)*y*y**(-2)*((y*y*y\/(y*y\/y**3))\/y)**(-2\/73) assuming y is positive.\nAnswer: y**(-1331\/1095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 136*i**2 - 124*i + 264.\nAnswer: -4*(i - 1)*(i + 2)*(i + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15342 - 1654. What are the prime factors of z?\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 + 158*y + 89. Calculate the smallest common multiple of h(53) and 7.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*m - 71*m + 21*m + 6 + 23*m)*(-59*m + 399*m - 119*m) in the form d*m**2 + r + a*m and give d.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 123316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/591 and 19\/210.\nAnswer: 41370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 340000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*i - 23. What is the remainder when 29 is divided by -3 + i + -3 + 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 227. Let a(p) = -379. Let m(c) = -3*a(c) - 5*r(c). Let l(t) = -t + 5. What is -2*l(h) + 5*m(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -34535 (base 13) in base 2?\nAnswer: -10111010010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -13. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -242.4 - -242. Let f = 2 - 1.4. Let p = f - 0.5. What is the biggest value in j, -1\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3989444130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 572.\nAnswer: -572.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -165547*w**2 - 3*w - 5061?\nAnswer: -331094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8346\/33 - (-2)\/22 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40\/51 - 15\/17. Suppose -10*x + 5*u = -8*x + 19, -3*x - u - 3 = 0. Sort 4.2, x, 0.2, n.\nAnswer: x, n, 0.2, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 9 = -3*c - 3*b, c = -3*b + 15. Let r(w) = 2*w**2 - 5*w + 3. Let s be r(c). Let k = s - 3. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6412\/11 or -583?\nAnswer: -6412\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2263 + 10381?\nAnswer: 8118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(6) + 2 + sqrt(13) + (0 + sqrt(13))**2 + -1 + 3 + (-1*1*sqrt(13) + -1)**2.\nAnswer: 4*sqrt(13) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*k + 39 = 0, 2*v + k = v + 3. Suppose 0 = -z + 2*z - 15. Solve z = q - v*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -4*i**5\/35 - i**4\/7 + 4*i**3\/7 + 10*i**2\/7 + 8*i\/7 - 5. Factor v(k).\nAnswer: -4*(k - 2)*(k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/27 - (-2744)\/(-6705)) + (-76)\/(-570) and 9.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1243.54 and -0.038.\nAnswer: -47.25452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:29 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65147 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: Solve 2*i - 2*c + 6 = 0, -131*c + 128*c = -5*i - 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 - -155. Suppose 3*a + 372 = 3*s, g*s - 4*s = 4*a + 623. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56727, 65180, 73631, 82080, 90527, 98972?\nAnswer: 107415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16239 + 246*t**2 - 16239.\nAnswer: 246*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 468 = q, 2 = 5*y - 3. 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: Do -198 and -197 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 0 - (1 + 0). Let j be 17\/102 - 118\/(-12). Suppose j = -2*i + 7*i. Put i, h, -3 in decreasing order.\nAnswer: i, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9*g**2 - 783*g - 36. Determine s(-87).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Let z = 2.72 - j. Let w = z - 4.62. Round w to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3323.\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/12 and 2\/(-1 - -2) - 2093\/(-3276).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3563360 and 159282192.\nAnswer: 1592821920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*a - 1034 + 1029, -4*a + 72 = -3*c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzuiyyyuruk. What is prob of picking 1 r, 1 k, 1 y, and 1 u?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 50830*d - 355791. Determine x(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/8*2\/4. Suppose -4*p + 0 = 20, 3*p = 2*m - 63. Let c be m\/16*(18 - t). What is the highest common factor of c and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + p = -0*p - 9, -p = 2. Let w(t) = 4373*t**3 + 5*t - 26. Let c be w(h). What is c rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2816561, -2816554, -2816543, -2816528?\nAnswer: -2816509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*y + 8 = -1, -2*y = -4*d - 6. Suppose -10*k - 195 + 35 = 0. Let s(c) = 2*c + 28. Let b be s(k). Sort -3, b, 5, d.\nAnswer: b, -3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -418 - 416 + 834 + 314*a + (0*a - 5*a + a)*(-14 - 26 + 60) - 5*a + 2*a + 2*a in the form u*a + l and give u.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-2) + (2 - 2)\/(-2). Solve 3*h = 12, -h - 4 = u*x - x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**3 - 7*a**2\/2 - 3*a. Let h be f(-5). Let l = h - 8. Solve l = -5*u + i - 3*i, -5*u = i + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.1 * 2163373.\nAnswer: 54300662.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9623? (a) 1\/3 (b) -3 (c) 2\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 9) to base 6\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73259.4687 + 73314.46870049. Let h = j + -55. What is h rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*o + 4*x + 10, -2*o + 25 = -5*x. Let r(z) = -13*z - 20. Let q be r(-7). Let l = -68 + q. Solve -5*v + l*v - 10 = o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*q - 8 = -65*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25876 - 29062 - 30559 + 14921 - 8738)*(-3*k + 3*k - k) to the form x*k + d and give x.\nAnswer: 79314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**(-19) assuming c is positive.\nAnswer: c**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 228*a**5\/5 + 15337*a**3\/6 + 11262*a**2. Differentiate t(x) wrt x.\nAnswer: 5472*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.11062 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1631862, -3263734, -4895606, -6527478, -8159350?\nAnswer: -9791222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26134531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35630725?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atrdrsac. Give prob of picking 1 s, 1 a, and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*n - n + 10 = 0, 4*j - 4*n = -8. Let p = -18 - -7. Let q = j - p. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1668074 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 - 75*j. Let d(y) = -3*y - 30. Give s(d(o)).\nAnswer: -27*o**2 - 315*o - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t. Let f(z) be the third derivative of z**7\/5040 + z**5\/60 + 4*z**2. Let j(o) be the third derivative of f(o). Determine j(u(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 8:00 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 228*d - 8757 + 1461 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -14643666?\nAnswer: -14644002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u - 22*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 384400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -896 - -1751. What is the highest common divisor of 95 and j?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -22*g - 13*g. Solve -2*l + 5*s = -0*s + 24, g = 5*s - 30 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138182.92 + 138182.78000013. Let i = -0.03 + 0.17. Let u = v + i. What is u rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -219, -22, 115, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -35*(-29)\/406*(-3)\/(-1530)*-4\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-27) - 374*4\/(-72). Let q(v) = v**3 - 19*v**2 - 46*v + 93. Let c be q(f). Solve 17 = -4*l + c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11383, -11384, -11385, -11386?\n\"Answer: -l - 11382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -1\/6*a**6 + 0*a**4 + 0*a + 0*a**5 - 1\/2*a**2 - 2 + 0*a**3. What is the second derivative of n(o) wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -17, -10, -1, 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1701 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 6 + (4 - -2 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 + -13?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126.1 - 126. What is the third smallest value in 1\/2, m, -5, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 346 = 1238. Suppose 2*s = 2*m + 2*m - z, 5*m + s = 509. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 5, -4, 2 in decreasing order.\nAnswer: 5, 2, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 11818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 150 = 0, 10*y - 61*l + 57*l - 230 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116668 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -14.26. Let k = 0.7 - q. Let m be 18\/(-14) - (1 - 2)\/1. Put m, k, 4 in descending order.\nAnswer: 4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 10 + 1 + 57*d)*(10 - 29 + 14) as c + k*d and give k.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 47\/1041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 0 - 96\/3. Is t\/(5\/(10\/(-3))) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 2, -63 in ascending order.\nAnswer: -63, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2023 is divided by 1011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + -475?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - -73.54. Let u = 11.5 - t. Which is bigger: 5 or u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3317512 is divided by 1658748?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a = 0. Let v(i) = -i**2 - 9*i - 17. Let o be v(-5). Suppose 5*w - 4*x + 0*x = -17, o*x = 2*w + 4. Sort -3, a, 1, w.\nAnswer: w, -3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 17*r - 442. Give a(-17).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3007404 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 64075.15056 rounded to the nearest 1000?\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-24) - 2\/3 - (-19788)\/(-816)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**2*u**2 - 2*p**2*u*v**2 + 2*p**2*u + 11*p**2*v**2 + 576*p*u**2 + 37*u**2*v**2 + 2*u**2*v + 25*u*v wrt v?\nAnswer: -4*p**2*u + 22*p**2 + 74*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 191 and 0.098.\nAnswer: 18.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*q + 5124, 6*q + y + 1291 = 7*q. What is the remainder when q is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -10. Let c = p + -4. What is the second derivative of 0*k**4 + 0*k - c*k - 6*k**4 wrt k?\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**5 + 3*v**2\/2 - 21*v. What is the first derivative of y(d) wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022249982.\nAnswer: 2, 3, 13, 461, 28429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*o - 79. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327, -376, -501, -738, -1123, -1692?\nAnswer: -2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-42845)\/(-1254)*(-1)\/((-20)\/(-8)) - -10\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1558 (b) -0.7 (c) -1\/2 (d) -0.0306\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35.6622 + -35.7. Let r = 107.9378 + f. Round r to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-33)*7\/((-637)\/468) - 0. Suppose t + 1\/11*o**2 - 10\/11*o = 0. What is o?\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 5*v + 22, 5*j - v + 2 - 3 = 0. What is the common denominator of -2 and (-2703)\/68 - j\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -53. Let x = -0.01 - -1.01. What is the closest to -2 in 2\/7, b, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 43, -0.22, -0.12, -1\/3, 75\/14?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s - 12. Let f be -8*(-2)\/(s - 2). Let k(t) = t**3 + 6*t**2 - 8*t - 7. Let g be k(-7). Put g, f, -4 in decreasing order.\nAnswer: f, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 120*i + 15 + 19*i - 2*i**2 + 76*i to h*i + o*i**2 + c and give h.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -9*w**5\/100 - w**4\/10 + 4*w**3\/15 - 2*w + 38. Factor s(v).\nAnswer: -v*(3*v - 2)*(3*v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*s, -a - 6 = -s + a. Let t(u) = 4*u**2 + 5*u. Let q(c) = -13*c**2 - 16*c. Calculate s*q(f) + 7*t(f).\nAnswer: 2*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or 14407\/263?\nAnswer: 14407\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -877\/739580 or 0?\nAnswer: -877\/739580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 421*k**2. Let v(r) = 43*r**2 + 1149*r + 1. Give v(h(l)).\nAnswer: 7621363*l**4 + 483729*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46*3\/(-990) + ((-687)\/(-99) - 7). Which is the third biggest value? (a) 0.1 (b) 1 (c) 7 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3\/3 + 1645*v**2\/3 - 29900*v\/3 + 46500 = 0.\nAnswer: 9, 10, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 44.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -95, -142, -227, -362?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l + 81. Let b be o(-7). Let n(z) = z + 1. Let x(g) = -14*g**3 + 3*g + 3. What is b*n(a) + x(a)?\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1349, 1758, 4, 5, 0, 13 in decreasing order.\nAnswer: 1758, 1349, 13, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 + 63. Let p = -37\/2 - w. Solve p*q**3 - 1\/2*q - 1\/6*q**2 + 1\/3 - 1\/6*q**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(-1 + ((sqrt(847) + 1)*-5 - sqrt(847) - ((0 + sqrt(847))*2 + sqrt(847)))**2) + -2.\nAnswer: -2058932 - 29700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 121 = 5. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7*j - 7*j - 18 + 13*j.\nAnswer: -j - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 328\/5 - 4\/(-10). Let d = -54 + q. Find the second derivative of -j + 7*j + 10*j - d*j**3 + 17*j wrt j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 28 - 11 = 0. Let g = a + -5. Let d(p) = p**2 - 5*p - 11. What is the tens digit of d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkggkkkkkkgkkk. What is prob of picking 3 k?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1012\/77 - 3\/21. Let m = 48 - 14. Let y = m - p. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 12. Let w(x) = -7*x**2. Give w(s(g)).\nAnswer: -28*g**2 - 336*g - 1008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 46, 111, 202, 319, 462, 631?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 greater than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33342 divided by -674?\nAnswer: -16671\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s - 18. Let k(l) = 32*l - 50. Let x(w) = 6*k(w) - 17*p(w). Give x(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199.4 - 218.4. What is the biggest value in 1\/4, o, 5, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 28, 61, 118, 205, 328, 493, 706?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -14, 2\/33, -0.5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40912085, -40912087, -40912089, -40912091, -40912093?\nAnswer: -40912095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.46173044 rounded to 3 dps?\nAnswer: 1.462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 28 + 28 - m**2)*(7*m + 6*m + 15*m) as d*m**2 + a*m + w + u*m**3 and give a.\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(((-5)\/(-3))\/(-1)) - 3146\/7865. Solve 0 = j - p*f + 21, 0*j + 2*j + f = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88228.\nAnswer: 2, 7, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5177181.\nAnswer: 3, 97, 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 5*x**2 - 41*x + 84*x - 54*x - x**2.\nAnswer: 3*x**2 - 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 4 = 4*f. Let q be -62 + 70 - (-17)\/(-6) - (-1)\/(-6). Solve -4*y = -a + f*a + 9, -q*a - 13 = 3*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 5 (c) -4 (d) -2 (e) -0.057\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times 0.0176\nAnswer: 0.003168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x, 4*x = -2*w + 149602. Is w\/9 + -1*(-2)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gldc when four letters picked without replacement from {c: 3, g: 1, r: 2, l: 4, d: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i - 3*i**2 - 4 - i**2 - 3*i**2. Suppose -11 = 3*b - 3*f - 2, -3*f - 7 = b. Let n be g(b). Round n to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -6046?\nAnswer: -6039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 19*d + 1565 = -5*i, 3*i + 4731 = 6*d. What is the smallest common multiple of d and 395?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1164 less than -1167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - sqrt(1300)*2 - -1*sqrt(117)) + ((sqrt(13) - sqrt(117)) + sqrt(13) - sqrt(13))*-2*-3)**2.\nAnswer: 4693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 11*v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23599, -47161, -70711, -94249?\nAnswer: -117775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3965 + -4020 + 19 + 0\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123381 is divided by 6164.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53700*k + 26916*k + 935*k**2 + 26784*k.\nAnswer: 935*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -623 + 778. Let v = -151 + b. Solve -2*h - 2*h = 4*y + v, 4*h = 5*y - 22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -32, -48, -82, -140, -228, -352?\n\"Answer: -a**3 + 3*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -139*v - 2. Let l(r) = 4432 - 13*r - 56*r - 4433. Give 3*h(d) - 5*l(d).\nAnswer: -72*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 + 128. Suppose 3*k - 2*b - f = 0, -5*k + 4*b + 0*b = -70. Let t be -3 - 1 - (-2)\/(352\/(-1320)*(-6)\/8). What is the highest common factor of k and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14375 + 14481. Solve 42*m - g = -11*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1021, 4508, 11041, 21196, 35549, 54676, 79153?\nAnswer: 109556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (9 - (22 + 1 - -1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-993)\/83412*4*2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 331.99999636 + -332. What is b rounded to 7 decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125 (base 13) to base 11\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -5*q**6\/6 - 7*q**2\/2 + 5. What is the second derivative of x(w) wrt w?\nAnswer: -100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110010 (base 2) to base 8\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 191301601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 45 + -33 - 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*o - 74 = 976, -2*j + 540 = -5*o. Let k = -262 + j. Solve -p + 2*p + 2*i - 1 = 0, -k*p - 5*i + 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98168, 98122, 98076, 98030?\nAnswer: 97984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*k - 3\/8*k**3 + 165\/4*k**2 - 165\/4.\nAnswer: -3*(k - 110)*(k - 1)*(k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 624741814 and 514.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:44 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 300 + -137. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -154186 smaller than -153506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 244350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-14))\/((-130)\/91).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154062?\nAnswer: 2, 7, 13, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*n**2 - 41*n**4 - 5*n**2 - 19*n**2 + (-2 - 1 + 2)*(5*n**4 + n**4 - n**4).\nAnswer: -46*n**4 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -7 + 7 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9 - (-91)\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1043*a**2 - 120*a**3 - 644*a**2 - 247*a**3.\nAnswer: -367*a**3 - 1687*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 14. Suppose -5*p + 5*s - 10 = 0, -3*s + q*s - 10 = 0. Let g be p*(12\/9)\/(-2). Let o(x) = x**2 - x - 1. Give o(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13200 (base 4) to base 15.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.84 or 33.5684?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 3:16 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1653954 millennia to months.\nAnswer: 1984.7448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 4\/1 - -3. Suppose 3 = 4*q - 5. Let b(l) = -l - 2*l**q + 5*l**x - 2*l**2 - l**3 + 3. What is b(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (5341\/63)\/(-7)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (-40)\/(-12) - 26\/(-3). Let v(g) = o*g**2 + 2*g + 3*g - 8*g**2. Let h be v(-6). Solve -4*r - h = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 - 80. Calculate the greatest common divisor of q and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33*80\/(54560\/(-1674))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 517, 785, 1057, 1327, 1589, 1837?\nAnswer: 2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*c*p**4 - 2*c*p**3 + c*p**2 - 6*p**4 - 2*p**2 wrt p?\nAnswer: 360*c*p - 12*c - 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 5 + (3 + 0 - 2)*(0 + 2 + 0))*(0 - s**3 + 2*s**3 - 1) to d*s**2 + t*s**3 + r + f*s and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60360, 120731, 181102, 241473, 301844?\nAnswer: 362215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/96 and -67\/65992.\nAnswer: 791904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3783 is divided by 2775?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 285, 593, 959, 1383, 1865, 2405?\n\"Answer: 29*d**2 + 221*d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 0. Let h be (-28)\/(-8)*(-12)\/(-21). What is the smallest value in 5, -1\/2, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5174066 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (13 - (22 + -8)) - 1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(3\/20)\/l*l))\/l**(18\/13))**(-3\/35) assuming l is positive.\nAnswer: l**(417\/9100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12155566 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6574 = 5*d - 4*a + 28921, -5*a = d + 7099. Let c = -42485\/6 - d. Let r = 143\/2 - 77. What is the common denominator of r and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k - 0. Let x = -4 + k. Let b be 8\/4*x*-2. Sort b, 0, 5 in ascending order.\nAnswer: b, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y - 2*y - 3077805*y**2 + 13*y.\nAnswer: -3077805*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b (base 16) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 1259*n**2 + 2213*n - 2854. What is the first derivative of i(x) wrt x?\nAnswer: 2518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.047 + -0.043. What is u rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 71*o**2 - 37*o + 152. Give t(-35).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350737 a multiple of 699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 775 + -319. Let k = t + -60. Is k a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359067?\nAnswer: 3, 119689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*q**2 + 173*q**2 - 41*q - 209*q**2 + 77*q**2 wrt q.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3441 is divided by 345?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*675.8\nAnswer: 1148.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 0*m**3 - m**3 + (4 - 1 - 1)*(-m**3 + m**3 - 5*m**3) + 3*m**3 + 10*m - 10*m.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - b1?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*u - 958 = 66. Suppose -w + 13 = s - 26, -w + 2*s = -54. What is the third derivative of 49*x**4 - w*x**u + 2*x**2 - 4*x**2 + x**2 + 6*x wrt x?\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -2909.\nAnswer: -6\/2909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113711279?\nAnswer: 11, 103, 100363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15356062, 15356061, 15356060, 15356059, 15356058, 15356057?\nAnswer: 15356056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/15 (b) 0.3651 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10013 - -123010?\nAnswer: 112331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14.59 (b) -6\/19 (c) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5180 + 5177. Let p = 2 - 6. Sort p, 5, 19, k in ascending order.\nAnswer: p, k, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 219*a**2 + 4*a + 2. Does 15 divide o(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1731562 and 8657806\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 188.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/401316891 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/13 (b) 0.23 (c) -396 (d) -171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (13446*q**3 - 17176957*q**2 + 17176957*q**2)*(-q - 2*q - 3 + 6) in the form k*q**3 + u + y*q + m*q**2 + p*q**4 and give k.\nAnswer: 40338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 48*k. Let z(n) = 32*n. Calculate 5*v(a) - 8*z(a).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -372.86, 14.4 in ascending order.\nAnswer: -372.86, -2\/9, 14.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 416 (b) 11 (c) 2\/3 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*z**4 - 419*z**3 - 22730*z**2?\nAnswer: -864*z - 2514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -8521, 4, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -10\/3 (c) 1\/160 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22457150 divided by -12139?\nAnswer: -1850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 2)*(-4*n + 4*n - n) + 3*n - 4*n + 2*n + (1 - 1 + 1)*(-1 + 1 - n) + 3 + 2*n - 3 - 4*n + 3*n + 3*n to k*n + c and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/42 and -115\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*m + 95 = 0, -2*x - 3*m = -2*m - 39. What is the remainder when 29 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117775 divided by 2\nAnswer: -117775\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s - 1. Let y(m) = -2794*m. Determine 3*n(l) - y(l).\nAnswer: 2821*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((4 - -4) + (-2 - 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 - 11*p**2 + 9*p - 18. What is the remainder when 398 is divided by h(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 5\/3 (c) 3\/4 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46022*7.5.\nAnswer: -345165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-90))\/(((-10)\/28)\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - k**2 - 2*k - 2*k**2 - k**2 + 5*k**2 - 2*k**2 - 2 + 2 + (-45*k + 16*k - 20*k)*(0*k + 3*k - k).\nAnswer: -99*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -29)*(-24)\/28. Let q be (-15)\/b + (3 - 2). Are 3\/4 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111918 and 26841?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41519188 is divided by 20759590?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 28*m**2 + 66*m + 35. Let i be c(-16). Solve 1 = -2*s + i*d - 4*d, 13 = 4*s - 3*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0 + 2*c - 1\/30*c**3 + 1\/5*c**2 - 1\/60*c**4. Determine z so that p(z) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 23*i**5\/5 + 23*i**2\/2 - 16. Find the second derivative of f(y) wrt y.\nAnswer: 276*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*z - 3*z + 19*z. Solve 3*s - 4*l - 8 = z, -27*l - 10 = 2*s - 22*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -17*f**4\/24 - f**3\/3 - 7*f**2. Let t be h(-4). Suppose 0*p + d = 4*p - 231, -3*d - t = -p. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6231\/(-620) + (-8)\/(-10). Is u equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*o - 650307 = -3*y + 165*o, 4*y - 4*o = 867104. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216060327.\nAnswer: 3, 7, 17, 67, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/24 + (-86)\/(-12). Suppose a = -4*n + 23. Let l(i) be the first derivative of i**2\/2 - 4*i + 3. Determine l(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 13456*y**3 + 11329944*y**2 + 22619536*y + 11303044.\nAnswer: 4*(y + 1)**2*(y + 1681)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 23 - 9 - 70*j.\nAnswer: -70*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/(-2))\/((-8)\/48). Suppose -i - 3*i = p - 1, 0 = -p + i + t. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 2*m**7\/105 + m**4\/4 + 16*m**2. What is the second derivative of d(l) wrt l?\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31903344 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -85?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371*l = -3*f - 366*l - 345, -315 = 3*f + 5*l. Are f and -28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(2*z - z + 0*z + (5*z - 5*z + 2*z)*(0 + 0 + 2) + 35 - 18 + 15 + 7*z) in the form l*z + k and give k.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - j + 36 = 0, -13*j = h - 27*j + 10*j + 129 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6972 and 16638.\nAnswer: 19333356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94*-1.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**4 - 3 + 3 - 2*m**3)*(-1 - 2*m + 2 + 9*m).\nAnswer: 28*m**5 - 10*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d - 30 = 0. Suppose -2*k - 120 = -d*k. Let a be (k - 6) + 1\/(-1). Calculate the highest common divisor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f - 15. What is the remainder when 46 is divided by 3\/(f + 135\/(-48))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -934*k**2 - 12*k - 29. Let b(f) = -2801*f**2 - 35*f - 86. Let u(x) = 2*b(x) - 7*q(x). Is u(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(26\/(2288\/(-66))*4\/18)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 454*z + 1 - 208*z**2 + 87308*z**5 + 2*z**4 - 87309*z**5 + 1156*z wrt z.\nAnswer: -20*z**3 + 24*z**2 - 416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 160 = 6*q + 4*m, -4*m + 52 = 2*q. Let l be (q\/8 - 3)*2. Is 1735\/l - 32\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d - d - 5*d. Let a = 10 + -11. Determine n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 2*h**3\/3 + h**2 - 2*h. Let f be u(5). Let d(s) = s + 6. Let v be d(5). What is the highest common factor of f and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5670044 divided by 17.\nAnswer: -333532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 times -0.103437?\nAnswer: 5.999346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d\/(d*d**(3\/5))*d)\/d*d*d)\/d*d*d**4)\/((((d*d*d**(-5))\/d)\/d)\/d*d\/(d**6\/d))*(d*d\/(d*d*d**1\/d))**29\/(d**(-1\/4))**(1\/12) assuming d is positive.\nAnswer: d**(4181\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -23696*k**3 + 48 - 6*k**2 + k**4 + 23696*k**3 + 5*k in the form f + i*k**4 + x*k**3 + s*k**2 + t*k and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*s + 5*h + 20 = -205*s, -s + 4*h = -21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 2*v + 1. Determine p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -900515*f**2 - 228464*f + 4.\nAnswer: -1801030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(-2789 + 2789 - 672*p**4).\nAnswer: -2016*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*j**2 + 463289460*j - 1073185618735458.\nAnswer: -2*(5*j - 23164473)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12282*h**2*u**2 - 19*h**2*u - h**2 + 8*h*u**2 - 25538*h*u + 2*h + 2*u**2 - 1 wrt h?\nAnswer: -24564*u**2 - 38*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from tteetxxxxtxvecexxxxx?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.25518 - 24.13782. Let j = 0.193 + u. Let n = 24 + j. What is the nearest to 3\/5 in n, 3, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-5)*-2*-1. Let p = 0.3 + -0.34. Let d = p - 2.96. Which is the third smallest value? (a) z (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4874483 rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, k: 6, g: 4, a: 1}. Give prob of picking 1 a and 1 r.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 - 102. Suppose 0 = 5*i + 4*l - 37 - 6, -5*i + l = -33. Which is the closest to -3\/4? (a) i (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478 = 115*w + 231 + 1512 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.0102 - -0.4852. What is b rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - d - 13640, 4*g = 4*d + 18184. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 + 4*z - 6. Let v(r) = 10*r**2 - 12*r + 19. Let g(o) = -7*h(o) - 2*v(o). Suppose 0 = -0*y + 4*y. Let m = y + 4. What is g(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 5. Suppose 0 = -2*v - 3*v - 5*m - 45, 0 = -2*v + 2*m - 14. Let b be f(v). Suppose u + l - 46 = -4*l, -2*l - b = -u. Is u less than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5}. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -761*i + 2282. Determine p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*p = -122*p - 202*p - 196*p + 99*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 358*v**2. Let a(n) = 42*n - 2. What is i(a(u))?\nAnswer: 631512*u**2 - 60144*u + 1432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -4, 0.025.\nAnswer: -4, 0.025, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/3 - 10*o**3\/3 + 8*o**2 + o + 1. Factor i(l).\nAnswer: 4*(l - 4)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24688 + -24674. Let h be (88\/(-6))\/(2\/6). Let j = h + 86. Calculate the highest common divisor of i and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*l + 2*i, -4*l - 3*i - 12 = -l. Let h(m) = m**3 - 5*m**2 + m**2 + l*m - 4*m + 2*m. Determine h(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskkiikkiskssksq. What is prob of sequence sq?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-20))**(-6\/11))**22)**(19\/6) assuming k is positive.\nAnswer: k**760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97148 and 57812?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2249*i + 12124 wrt i?\nAnswer: 2249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 75*c - 1008 = 6*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -36 + (2 - -6 - (-17 + 20))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**2 - 1. Let b be a(-1). Let l = b - 5. Calculate the smallest common multiple of (-8)\/(12\/3 + -6) and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88325, 88350, 88391, 88448, 88521, 88610?\nAnswer: 88715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 36 + 51. Let b be (f + -2)\/(-3)*5. Sort -1, b, -2, 1 in descending order.\nAnswer: 1, -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*u**5 - 7*u - 3015*u**2 + 3 - 2*u**5 + 55*u**3 + 3011*u**2 wrt u?\nAnswer: -600*u**2 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let f be 2\/3*(-135)\/(-30). Let d be (-90)\/54 + 17\/f. Solve -d*q + 2 = -l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70 + -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, s: 7, j: 3}. What is prob of sequence jr?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/6)\/((n\/n**(1\/20))\/n) assuming n is positive.\nAnswer: n**(-47\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986212794 to the power of 1\/3, to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:10 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -1\/11 (c) 1\/2 (d) 2 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*o - 11 = -1, 5*o = -3*q + 2. Let x(c) = -7*c - 21. Let a be x(q). Suppose 8*d - d = a. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7077, 14022, 20965, 27906, 34845, 41782, 48717?\n\"Answer: -w**2 + 6948*w + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**3 + g**2 - 5. Let b be -2 + 4 + (0 - -1). Let a(j) = 3*j**b + 2 + 0 + 0. Let x be (-1 - -4)*8\/12. Calculate x*f(s) + 5*a(s).\nAnswer: s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 69 = -27 - 60. Solve a - 6 = -2*l, 5*l - l - 3*a = v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*sqrt(189) - sqrt(21)) + (sqrt(21) - sqrt(210)\/(sqrt(30)\/sqrt(3))))\/((2*sqrt(70)*2)\/sqrt(10)).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6470881.1 to the nearest 1000.\nAnswer: -6471000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (36 - 18 - -2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5)\/((-840)\/600).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/14*8\/6. Suppose 0*g = o*g, 2*g = -2*m + 10. Suppose -14*a + 96 = 2*a. Solve 0 = -m*i + 16 - a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29889*v + 1788*v + 25746*v.\nAnswer: 57423*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 5735.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -591, -15 in descending order.\nAnswer: 0, -15, -591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) -0.3 (c) 5\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -14)*(-403)\/(-39) - 44.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 552 and 138828.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*y + 5, -4*y + 120*c = 125*c - 23. Let t(a) = -a**3 - 4*a**2 + a + 1. Let p be t(-4). Let q be (p\/(-15))\/(y\/12). Sort -0.3, 4, q, -2\/5.\nAnswer: -2\/5, -0.3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -802, -1611, -2668, -3931, -5358?\nAnswer: -6907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/(-38) + (0 - (24 - (-1035)\/(-46))))*-4\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 4\/(256\/(-8))*2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, p: 6, n: 3, x: 1}. Give prob of sequence iixp.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 + -234. Let a be (2\/3)\/((-4)\/x). Find the common denominator of (0 - -2) + 38\/a and 79\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124743235.\nAnswer: 5, 251, 99397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 4*m - 18*m - 5*m**3 + 14*m + 24. Let u(v) be the third derivative of v**4\/8 - 3*v**2. Determine u(g(z)).\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -9*w + 2769. Suppose n + 4*h = 35, 3*n - 2*h = 57 + 76. Calculate the remainder when w is divided by n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, 1, -21 in increasing order.\nAnswer: -21, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + 172?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n + 0*n)*(-4*n**3 + 5*n**3 + 0 - 2) + 3*n**4 - 4*n**4 + 3*n**4.\nAnswer: 4*n**4 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 - -0.5?\nAnswer: 780.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b**(2\/3)*b)))*b**(3\/8))**1 assuming b is positive.\nAnswer: b**(-7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*((sqrt(396) - sqrt(396)*-1) + sqrt(396)))\/(sqrt(36)\/sqrt(4)*-5))**2.\nAnswer: 128304\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 11:19 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -221935264 + -83.\nAnswer: -221935347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 568466053 to the power of 1\/2, to the nearest integer?\nAnswer: 23843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/9)\/t)\/t*t)**(-2\/11)\/(t\/t**(1\/4)*t**(1\/3)))**(-11\/5) assuming t is positive.\nAnswer: t**(341\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -18 - (0 + -5 + 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 0*v + 0 - 82*v**2 - 65\/6*v**3 + 29\/12*v**4. Differentiate o(x) with respect to x.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - 20*y - 43. Let i be j(-14). Let s = i - -157. Solve 7*w + s = 8*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -10. Let l = 10 - b. Suppose -92 = j - l*j. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -670, 2, -3\/7?\nAnswer: -670","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4.8 - 0.2230134\nAnswer: -5.0230134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4982912.7 rounded to the nearest one thousand?\nAnswer: -4983000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64339043 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 324+1\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 416*i - 18124. What is u(-49)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -33*w**2. Let m(v) = -12*v - 3. Give m(c(n)).\nAnswer: 396*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 10:21 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.7, -3\/16, -4, 1\/2 in descending order.\nAnswer: 0.7, 1\/2, -3\/16, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2452 = 267. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-10)\/2)\/(3\/(-723))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2156) - (-1 + sqrt(2156) + -1 + sqrt(2156) + sqrt(2156))**2) + (-1 + sqrt(2156) + 3)**2 - (sqrt(220)*-1*-6 + sqrt(220))\/(sqrt(15)\/sqrt(3)*3).\nAnswer: -17248 + 700*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 133*p + 2820. Give x(-94).\nAnswer: -846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2127 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/(-10) - (-86)\/12 and -24\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 27. Let b = -11 + 6. Let r = x + b. Which is greater: r or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 + 6*z)*(0 + 0 - z)*(-6*z + 0*z - z)*(-5 + 1 + 2) as m*z + a*z**3 + b*z**2 + o and give a.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 13*m - 4. Suppose -u = -4*y - 7, m*u - 7*u - 5*y = -85. Calculate the greatest common divisor of u and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28946531*g + 57893067*g + 24 - 28946532*g.\nAnswer: 4*g + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3800*g**2 - 1. Let o(f) = -2*f. What is p(o(c))?\nAnswer: -15200*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -12*d - 2*d + d - 9*d. Let h(o) be the second derivative of o**3\/6 + 2*o + 50. Determine h(w(r)).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-90))\/((-10)\/360))\/((-36)\/30)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 6*r - 216. What is the smallest common multiple of r and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 257 and -325024 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, 0.4, 0.04, -274, -2\/9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from dlpppddl.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 289296 and 37968.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10}. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6204 and 264.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 553358 and 553371 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 3*g - 17 = 5*h, -4*g = -5*h + 24. Let l = -13 + 16. Suppose l*w - 12 = w. What is the remainder when w is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1078492 and 1078492 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/5? (a) 0.524 (b) -4 (c) -1 (d) 2 (e) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**3\/6 - 4*a**2 + 4*a. Let x(c) = -7. Let z(k) = 3*r(k) - 4*x(k). Find the first derivative of z(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/(-8) + (-6)\/(-8). Let n be 5*-1 - (l - 1). Let p(a) = 5*a**3 - a**2 + 1. Let m(s) = -s**3. Calculate n*p(j) - 9*m(j).\nAnswer: -j**3 + 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (144\/(-280)*-7)\/((-6)\/(-760)). Let g = 604 - k. Calculate the remainder when g is divided by 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (-24 - 42\/(-7))\/(-5). Are h and -4916 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.189253837 to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4 - 105*q**2 - 100*q = 0. What is q?\nAnswer: -4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 237 and 60?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3766, 3646, 3306, 2632, 1510?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.7 + -18. Let w = -0.3 + u. Let s = w + 3.2. Round s to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2066231997 + -0.0028.\nAnswer: 2066231996.9972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/12*(-8)\/56. Let r(s) = -21*s - 1. Let w be r(-1). Suppose 0*d = 4*d - w. Which is the smallest value? (a) d (b) -2\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10968 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23266 + 0.232649761. Round h to seven decimal places.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 + 486831*k**3 - 8276754*k**2 + 38950368*k - 31160448 = 0.\nAnswer: -162294, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 2, -18, 3\/7, 2\/3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100066 + 45283 - 98143 = 6033*i - 32266 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, f: 2, h: 11}. What is prob of sequence fmh?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 34 + 15 + -53?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 12) to base 14.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112586072, -112586067, -112586060, -112586051, -112586040?\nAnswer: -112586027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 4 = 5*c. Let v = 151 + -147. Find the third derivative of 3*x**2 - 626*x**4 + 12*x**c + 640*x**v wrt x.\nAnswer: 336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302113021 (base 4) to base 5\nAnswer: 23100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*v - 8 = 0, -z - v = -3*z + 8. Suppose 22 = z*x - 64. What is the greatest common divisor of x and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 16*t**4 + t**3 - 3 - 3*t + 12*t**4 + 2*t**2 - 3*t**4 in the form b*t**4 + w*t + l + p*t**3 + u*t**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -826 + 831. Suppose -3*g = -0*g + 3*s - 36, -u*g + 4*s + 15 = 0. Calculate the remainder when 348 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/120 - 7*q**5\/60 + q**4\/12 - 3*q**2. Let t be g(5). Calculate the common denominator of 14\/(-35) - (-174)\/t and 95\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 343 - 351. Let f(b) = 4*b**2 - 3*b - 3. Let t(n) = 12*n**2 - 8*n - 8. Determine x*f(z) + 3*t(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(44)\/sqrt(4) + 3 + 1 + (4*sqrt(77)*2)\/sqrt(7).\nAnswer: 4 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12731783\/8 or -1591472?\nAnswer: -1591472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -23067 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 14 = 5*g. Suppose g*w = -9 - 1. What is the remainder when 41 is divided by (-106)\/(-5) + w\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + n)*(n**2 - n**2 + 3*n**2) + 3*n**3 + 3*n**3 - 4*n**3 + (3*n**2 - n**2 + 0*n**2)*(-3*n + n + 4*n).\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 6\/7 - (-2496)\/21. Suppose -x*w - 777 = -122*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (sqrt(304)*-1)**2 - (1*sqrt(1216) + sqrt(1216)))*-3.\nAnswer: 36*sqrt(19) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.411258l?\nAnswer: 7411.258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 10*o + 1. Let s be r(14). Let d = 414 - s. What are the prime factors of d?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 117, 255, 459, 735, 1089, 1527, 2055?\nAnswer: 2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3 + 11\/4)*6)\/3. Sort 4, -2, l, 0.4 in ascending order.\nAnswer: -2, l, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153989 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*o**4 + 157*o**2 - 3986*o?\nAnswer: 156*o**2 + 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 10, 164 in decreasing order.\nAnswer: 164, 10, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - (0 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 9:18 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 38 + 13 - 57*l - 24 + 23 + 7 + 3*l**2. Let s be j(18). Solve 5*b = -3*b + s*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -185506, -185583, -185794, -186205, -186882, -187891, -189298?\n\"Answer: -11*c**3 - c**2 + 3*c - 185497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 8 = m, 3*m = 4*y + 3658 - 3687 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - f. Let v be 116\/6 + (-40)\/30. Let r be (-10)\/8*(-2 + v\/3). Let s(w) = -5*w**3 + 5*w**2 + 5*w. Determine r*x(h) - s(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2407, -2404, -2401, -2398, -2395, -2392?\nAnswer: -2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 4 + 3 + 31)*(4*l + l - 3*l).\nAnswer: 108*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**2 + 80*m + 5. Does 3 divide k(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4741168824 to the nearest integer?\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - 16 - 17) + -13 + (34 - 18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**6 + 529*f**5 - 43*f**3 + 71*f**2 + 52*f + 121 wrt f.\nAnswer: 240*f**3 + 31740*f**2 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 - 0.21?\nAnswer: -197.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -793679\/40170 - 58\/6695. Let q = w - -227\/12. Calculate the common denominator of q and 59\/128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5340ab (base 14) to base 3.\nAnswer: 12022001010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.16 + -7. Let i = a + 0. Let o = 7.96 - i. What is o rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 897320 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = d. Let n(h) = -3. Let x(j) = -2. Let r(i) = -5*n(i) + 8*x(i). Let p(l) = -l. Determine d*r(b) - p(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 - -30. Let r = 167 - a. Let l be ((-6)\/9)\/((-2)\/21). Solve -r*h = -l*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 525, 808, 1109, 1434, 1789, 2180?\nAnswer: 2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37, -33, -29, -25, -21, -17?\n\"Answer: 4*u - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 + -4 + 0 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 + -6.77. Let z = 2 + w. Let j = -497\/5 + 99. What is the closest to -2\/7 in z, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/20466642 and 36\/203.\nAnswer: 593532618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohzzzzhuuh. What is prob of picking 2 u?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-66)\/(-14) + (-2)\/(-7). Suppose 2*w - 5*q - 39 - 24 = 0, 0 = -g*q + 15. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 6*f**2 - 3*f - 3. Suppose -14 - 11 = 5*p. Let j be c(p). Let w = j + 21. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(176) + -3 - sqrt(176) - sqrt(176)) + (4*sqrt(99)*1 - sqrt(99)))**2.\nAnswer: 42*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/(357\/(-14)) - 8\/(-3). Suppose 3*l + 15 = w, w + t*w + 4*l = 19. Let m(z) = 3*z + 3. Let x be m(5). Solve -3*q - 3*u = w, 2*q + 2*u + x = 6*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 78843, 157561, 236159, 314637, 392995?\n\"Answer: -60*n**2 + 78898*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 108\/(-8)*(-4 + 2). Let t be 2 + (l*-1 - -2). Let n = t - -34. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + 363*d - 2339. Calculate h(7).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 13 = 3*u, 3*n + 6 - 17 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**5\/20 + 5*z**4\/3 + 41*z**3\/6 + 18*z**2 + 20*z - 2. List the prime factors of y(-17).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181990.\nAnswer: 2, 5, 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-27) - 3\/(-81)*79. Solve -4*j + 14 = f*v + 45, 2*j + 28 = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -323.3 rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = -39 - 5. Let r be (-288)\/30 - v\/(-10). Let d be r*(-1)\/(-4)*6\/(-5). Solve -1 + 9 = 5*q + 3*y, d*q - 2 = y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4651.88 to the nearest 10.\nAnswer: -4650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 30. Suppose b = 3*n + 6, -n - 74046298 - 15453704 = 5*o. Round o to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 376.02992 - 376. Round l to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75126.18 millimeters in kilometers?\nAnswer: 0.07512618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(45\/(-288)))\/((-14)\/21). Suppose 3*x - 2*o - 105 - 185 = 0, 101 = x - 5*o. Calculate the highest common divisor of x and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 363 and 15?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2600138 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 75*j - 962. Calculate the smallest common multiple of 2249 and y(13).\nAnswer: 2249","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n + 6. Suppose n*z = 4 - 0. Suppose -u + 98 = 3*y + u, -z*y + 2*u = -62. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-0.19\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 11*y**2 + 3*y - 16. Does 18 divide q(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 256, 258, 260, 262?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2420 or 130501?\nAnswer: 130501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6418636?\nAnswer: 2, 7, 229237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.14 - -1.44. What is the closest to -1\/10 in 0.15, l, 2?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3229*b**2*g**2*j**3 + 16*b**2*j**3 + 8*b*g**2*j - b*j**2 + 16059*g*j**3 wrt b.\nAnswer: 6458*g**2*j**3 + 32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4\/x)**7)**(-8) assuming x is positive.\nAnswer: x**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 12*g**2 + 27*g + 8. Let j be z(-12). List the prime factors of (-112)\/6*(-2 - j\/(-16)).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -1, 18, 45, 80, 123, 174?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9781 is divided by 336?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {j: 11, m: 2, n: 1}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/48 and -59\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2 + 51*t - 109. Let z be w(3). What is the nearest to z in 1.7, 2\/13, 1, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24910792 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 r = -6 - -8. Let i be -6*4*(r - (-26)\/(-8)). Calculate the highest common divisor of 12 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14.27 or -2\/263?\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111101111110110 (base 2) to base 6.\nAnswer: -1214342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5556702 (base 8) to base 5\nAnswer: 340423222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 107?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4 - 60*l**3 + 392*l**2 + 15804*l + 79866 = 0 for l.\nAnswer: -29, -9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/(14 + 0))\/(1\/8). Suppose 5*c = 2*f - 11 - 0, 0 = o*f + 4*c + 20. Put 1, f, 0.5, 4 in increasing order.\nAnswer: f, 0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5))**3*n**(-6)\/(n*n**5))\/(((n**(-3)*n*n)\/(n**(-2)\/n))\/((n**(2\/9)\/n*n)\/n*n**(-4\/7)\/n)) assuming n is positive.\nAnswer: n**(-5528\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -5*a - 4*l + 161, a - 56 = -4*l. What is the highest common factor of a and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 557.3798 - -0.0202. Let p = 554.39904 - w. Let q = p + 3. Round q to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27846 and 86632?\nAnswer: 779688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 5 = 4*n + 12*t, -3*n = -4*t - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -5\/4, -0.2, 1.4, 1\/10, -88.42?\nAnswer: -88.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 350 + -404?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-975)\/(-375)*312\/169.\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*s = -5*h + 5, 3*s = h - 9. What is the second derivative of -2*t + 5*t**h + t**3 - 8*t**3 wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 7\/3, 0.01 in increasing order.\nAnswer: -2\/13, 0.01, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4040 - -35364?\nAnswer: 31324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794*m - 13554 - 9605 = -1293*m - 2289 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51815 + 51815 + 101*s**2 - s**2 - 3 + 3 + (s - s - s)*(-3*s + 2*s - s) - 6*s**2 + 2*s**2 + 2*s**2.\nAnswer: 100*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.01 (b) -0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 58 + 205?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395, -1753, -3963, -7031, -10963, -15765, -21443, -28003?\nAnswer: -35451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82233 + 1?\nAnswer: 82234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16240 = -21*v + 14*v. Let y = 1881 - v. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = o - 2*z, 3*o - z - 7 = 0. Let m(l) = -l + 5. Let v be m(3). Suppose 6 = a - 3*j, -3*a = -v*j + 6*j + 8. Sort 2, a, o.\nAnswer: a, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -704160?\nAnswer: -704159.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 91.3 (b) 1\/4 (c) -79 (d) -3 (e) -1 (f) -0.02 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4700)\/(-125) - (-10)\/(-15)*(-6)\/10.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (1\/(-3))\/(2\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47722206 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2590520 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 58 - 13 = 0. Suppose -w - 23 = -3*n + w, 3*n + 2*w = 31. Suppose 0 = -12*z + n*z + 60. What is the greatest common factor of i and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - (-2 - -6) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*g - 11, 4*g = -2*s - s - 16. Let c be g*(-4 - -1)\/(-3). Let h(r) be the third derivative of -r**4\/6 + r**2. Give h(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - u + 233 = 0, 4*z + 3*u - 222 = 249. Which is smaller: 118 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 9 - (-1 + -4 + 9 - -40)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70470 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + (-2 - -12) - (9 - 129). Sort -2, x, 2.\nAnswer: -2, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -387*f + 3. What is the units digit of p(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 8. Suppose -f = -4 + i. Solve f*l = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 283*t**2 - 525*t**2 - 677*t**2.\nAnswer: -1485*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -130474341.\nAnswer: -8\/130474341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -965*k**3 - 100*k**3 - 1961*k**3.\nAnswer: -3026*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -79 + 94, 5*i - 1167 = -h. Suppose 4*y - y = 0. Suppose y = -2*o + i + 6. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -705 + 703. Which is the third smallest value? (a) -0.177 (b) 2 (c) -2\/7 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**2 + 20164*o - 1023162 = 0.\nAnswer: 51, 10031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 4003f6?\nAnswer: -4003fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.164 - 33. Let r = p + -0.064. Let l = 0.3 + 0.2. What is the smallest value in 2, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316643647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -c, 0 = c - w + 5*w - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = -22*k - 4480. Let d = k - -156. Calculate the lowest common multiple of 60 and d.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1617, -1748, -1893, -2058, -2249, -2472?\n\"Answer: -g**3 - g**2 - 121*g - 1494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/4215 and -117\/3934.\nAnswer: 59010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100307 is divided by 596?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 301.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + -8897311?\nAnswer: -8897330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 74*h**2 - 2*h + 3. Let a(q) = -q - 2. Give a(x(j)).\nAnswer: -74*j**2 + 2*j - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osos when four letters picked without replacement from {o: 1, s: 1, g: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, b: 3}. What is prob of picking 3 b?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**4 - 9*d**2 - 13. Let m(u) = -3*u**4 + 4*u**2 + 6. Let p(q) = 4*k(q) + 9*m(q). What is the first derivative of p(c) wrt c?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6204, 28, -2, 0 in decreasing order.\nAnswer: 28, 0, -2, -6204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/29 != -2\/5173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3977*l - 63621. Give o(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33206?\nAnswer: 2, 16603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -11*y + 39. Let t be m(16). Let q = t - -1234\/9. Which is the second biggest value? (a) q (b) 20 (c) 0.3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 52*u**2 - 38*u - 13. Is 17 a factor of l(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - (-5 + 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 9:10 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -51 - 9\/6*(-80)\/45\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-424)\/(-6) + (-25968)\/(-4869)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(1 + (-10)\/4). Sort 3, f, 0 in increasing order.\nAnswer: 0, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -301478 or -301476?\nAnswer: -301476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5185 - 3789 - 5150 - s**2 + 3037.\nAnswer: -s**2 - 11087","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1030)\/6 + 4\/6. What is the common denominator of 2\/(-24)*5 + -1 and (-2)\/(-8)*(-1 - p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/2)\/(6\/(-3)). Suppose 2*g + 23 = s*v + 61, 45 = -5*v + 5*g. Let f = -0.05094 + -0.94906. Is f smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10*d**2 - 3*d + 7. Let u(q) = 30453*q. Calculate s(u(r)).\nAnswer: -9273852090*r**2 - 91359*r + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234893296?\nAnswer: 2, 11, 23, 58027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 360457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 1, f: 4, h: 1, i: 5, v: 1}. What is prob of sequence fzf?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 11. Let u be (2 - -1)*(-1 + 3). Let d = 7 - u. Calculate the highest common divisor of d and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-462))\/((-56)\/672))\/(3 + 88\/(-28)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 535230098.\nAnswer: 5887531078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 94963845, 189927690, 284891535, 379855380, 474819225, 569783070?\n\"Answer: 94963845*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x + 3. Let j be b(2). Suppose -3*q + v = -v + 18, j = -2*q + v. Let a be 2\/(-8)*q - 1. Solve 2*h + a + 10 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32703 (base 13) to base 7\nAnswer: -530034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07 and -1420924.024.\nAnswer: -1420923.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by -48\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 50*f**2 - 5*f + 1. Is r(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1003630036 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 18. Let u = 4633535.000054 - 4633528. Let b = d - u. Round b to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 + (-25 - 21) - (1 + -2)) + 1 - 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82817 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*n - 5*n. Suppose 2*d - 9 = -d + 2*u, -6 = -2*d - n*u. Suppose 5*k + 5*w - w - 40 = 0, 0 = 3*k - d*w - 51. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 17*f**2 - 57*f + 18. Let t be i(3). Solve t = -29*w + 34*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 252 - 227. Let i be -1 + m\/7 + (-4)\/7. Solve 3*s = i*c - 0*s + 19, 5*s = -4*c + 17 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 5\/2*n**2 - 1\/3*n**3 - 3 + 0*n. Does 4 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 34. Which is the third smallest value? (a) -0.1 (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.42956 rounded to the nearest integer?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*((-56)\/(-16) - 4). Let t(l) be the first derivative of -49*l**2 + 31*l - 2. Is t(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwnvwwmrwwmgmwwwwrm. Give prob of sequence wvr.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2094 - 214 = 8*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74735821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 176*k**2 + 38*k + 455. Is o(112) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1117470*g**3 + 8*g**2 - 5698842*g?\nAnswer: 6704820*g + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6719220 and 2760?\nAnswer: 13438440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in -5, 11, 9410, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 6:54 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -12*s. Let r(l) be the third derivative of 0*l**3 + 0*l - 16*l**2 + 0 + 1\/12*l**4. What is x(r(c))?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 45 - 1044 = -d, 4*i = 4*d - 4284. Calculate the highest common divisor of d and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 15*o + 13. Let w be h(-14). Let r = w - -602. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/124380 and -67\/186570.\nAnswer: 373140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and 0.041.\nAnswer: -0.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2 - 7 + 26*z + 9*z**2 + 13 = 0. Calculate z.\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s - 6. Let f be q(-6). Suppose -10*i + 14*i = -f. What are the prime factors of 97\/4 - (-3)\/i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b108a - a2?\nAnswer: 2b0ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 2. Let f be c(-2). Let p(r) = 0*r**3 - 3*r**3 + f*r**3 + 2*r - 3*r. Determine p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/13 or -6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 5 (b) -249.57 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37, 40, 41, 40, 37, 32, 25?\n\"Answer: -d**2 + 6*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69560373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102000102012 + 0?\nAnswer: -1102000102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/189 and -31\/1365?\nAnswer: 12285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by -1.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c. Let r(l) = -5*l - 1. Let t(w) = -w - 1. Let z(o) = r(o) - 4*t(o). Let v(i) = 4. Let g(a) = 3*v(a) - 4*z(a). Give p(g(y)).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n. Let q(w) = 111*w. Give -33*p(u) - 2*q(u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1974 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3568 less than -3568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*v - 4733*v**2 - 3 + 4 + 4734*v**2)*(103 - 17*v - 103) in the form j + x*v**3 + a*v + h*v**2 and give h.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 35*h - 237. Let n be w(7). Let c be 9*(n - 9) - -684. What is c rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2.03. Let g = u - -4.97. Let n be (714\/1020)\/(42\/5)*-12. Which is the closest to 1? (a) 0.3 (b) n (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**4*l + 96*g**4 - 17*g**3 - 275*g**2*l - 2*g*l - l wrt g?\nAnswer: 72*g*l + 2304*g - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5743.7 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v + 44*v + 4003 + 4017 - 8020.\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*d = 3*b - 3, 3 = b + 5*d. Suppose -b*t - 193 = -28. Let v = t + 63. Calculate the highest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213038 and 14182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*g - 1264 = -1267, 13 = -3*y + 4*g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67, -69, -71, -73?\n\"Answer: -2*c - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.2 (c) -0.01 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254968646?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38107709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**2\/9 - 7264*r + 43761088\/9 = 0.\nAnswer: -16988, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-16)*p*p**27 assuming p is positive.\nAnswer: p**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 3, -12627.\nAnswer: -12627, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -56. Let o = 63 + v. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-28))\/((-12)\/(-21))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 436*j**2 - 18*j - 36. What is the tens digit of f(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 3557687.89 to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168585 + -168584.905971. Round w to 3 dps.\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - p = -3588. Let x = p + 297. Let u(o) = -1 - 2 + 3 - 5*o**2. Let k(w) = 2*w**2. Give x*u(l) - 7*k(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16316231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -69054, -275873, -620444, -1102761, -1722818, -2480609, -3376128, -4409369?\n\"Answer: h**3 - 68882*h**2 - 180*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 101 (c) 0.6 (d) -4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 6*q**2 - 3*q + 2. Let j be v(-6). Suppose -2*g + 7*g - j = o, -4*o = -4*g. What is the second derivative of 276 - 276 + 18*w**o + 12*w wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 49.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 7:00 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 159 and -0.1696?\nAnswer: 159.1696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12113 + -1102?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 330.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 + 4*j**3 + 139 - 5*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r. Let y(a) = 8*a**2 - 56*a. Give y(x(h)).\nAnswer: 32*h**2 - 112*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -29, -85, -163, -263?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v - 8. Let k be r(-5). Solve 0 = 4*p + k, -l = -2*p - 1 - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*a + 10 + 13, 2*a + 4 = 0. Calculate the least common multiple of (2\/j)\/(3\/9) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/66337?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.1 and 5.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -5, -0.4, 4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/5 in 163\/6, 1, -0.06, 2\/17?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7681922 - -0.4.\nAnswer: -3.3681922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-1)\/(-4))\/(35\/(-1148)). Solve 4\/5*b**2 + z + 24\/5*b = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12306 divided by -1758?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.2, -3\/7, 90, 2\/19?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 2*m**2 - 4*m + 6. Let i be q(3). Let t(a) = 87*a - 20. What is the units digit of t(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -w + 1017257, 20*w - 4*g - 4069124 = 16*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (4 + -7 - -4) + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132 or 3453\/26?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1 - -1)*(-4 + 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001 + -110102011202?\nAnswer: -110102001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvhv when four letters picked without replacement from vwvmvwvmwmmvhvmv.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -338613057509\/13918821873 + -20\/47831003. Let c = -6\/1067 + q. Calculate the common denominator of -16\/105 and c.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z. Suppose -5*k + 10 = -z*k. Suppose -5*r + k*w = -3*r - 18, -2*w - 4 = 0. What is the greatest common factor of r and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47650000 to the nearest one million.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 1. Let w be l(5). Suppose -w*y = -9*y + 10. Suppose 0 = -3*m + 3*m + 4*m - 20*m. Solve s - 2 + 17 = 4*z, -4*s - y*z + 12 = m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 70 - -2b?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = -o, 6 + 0 = -4*o - 2*v. Does o = -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98980 divided by -140?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + -0.16. Let u = 2.9 - s. Let l = -2.0683 + 0.0683. What is the closest to 0 in u, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*c - 11 = 517 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357496.\nAnswer: 2, 44687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -46. Let i be ((-4)\/k*-2)\/((-1)\/9). Calculate the greatest common divisor of i and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -191, -194, -199, -206, -215, -226, -239?\n\"Answer: -u**2 - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggyugggugyuguu. Give prob of sequence yuyu.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 0 - 4*q**2 + q**2 + q**3 + 4 - 4*q. Suppose 0 = -2*b + 8. Give m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/5 + 9*s**3 - 1421*s**2\/5 + 9603*s\/5 - 8228\/5 = 0. What is s?\nAnswer: -68, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + n + 18, -4*n = -92*y + 97*y - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -37.6, -4?\nAnswer: -37.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -13, -37, -71?\n\"Answer: -5*h**2 + h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(2\/9)*g**(-5)\/g*g*g)**(1\/51) assuming g is positive.\nAnswer: g**(-20\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106626 is divided by 26578.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/7 + 18619648*s**2\/7 - 37239290*s\/7 + 18619644\/7 = 0.\nAnswer: 1, 9309822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axipf. What is prob of sequence fixp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h + 16 = 4*g, 0 = -2*h + 2*g - 8. Let s = -137 + 233. Let z = s + -862\/9. Which is the second smallest value? (a) z (b) h (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1. Let i be ((-30)\/(-9))\/((-14)\/(-3) - 4). Let t be (1 + 0)*i\/1. Put 4, s, t in increasing order.\nAnswer: s, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - v - 6, 2 = -3*v + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 38 = -z - 35, 3*g = -5*z + 22 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and -8.955 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/((-13)\/(-20)*4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 1:27 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 653191443 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64\/15 + 16\/15. Let x = 157512 + -157511. What is the third biggest value in x, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/11 and 455\/2*(-1)\/(-25).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*w + 163, 4*p - 663 = w - 6*w. Is p a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 9:58 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6960 and 89\/1176?\nAnswer: 341040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/6 + 4\/6. Let g = r + 5. Solve -3*z = -3*o - 12, g*o - 2*o - 20 = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 0*k = 117. Suppose 2184 = k*u + u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2\/4 - 271999843*o\/4 + 54399969\/2.\nAnswer: -(o + 54399969)*(5*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*f - 104889 - 341676 = 103*f. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 2*q**2 - 4488*q - 1. Give h(68).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**5\/5 - 53*o**4\/6 + 225*o**3\/2 - 1177*o. What is the second derivative of g(d) wrt d?\nAnswer: 24*d - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 231*x**2 - 471*x - 237.\nAnswer: 3*(x - 79)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by 2?\nAnswer: -99\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddo when three letters picked without replacement from {d: 14, o: 4}.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 11. Differentiate -1 + 0 - 2*o + r with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 1. Let k = 7 - -4. Let z(l) = k*l - 27*l - 6*l**2 + 16*l + 4. Calculate 12*t(g) + 3*z(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 21)\/(14\/(-812)). Suppose -3*r + 2*h + 1139 = 0, -3*r + x = -h + 19. List the prime factors of r.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30808 and -0.2.\nAnswer: 6161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (13 + 0 - (20 + -34 + 33))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/15)*q)**(3\/11)*((q*q*q**(-4)\/q)\/q)**(-2\/13) assuming q is positive.\nAnswer: q**(856\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 47703\/57 - 24\/(-228). Suppose 3*w = v + 2*v + g, -v = 5. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-2)*150\/(-3150)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*((-3 + 2*b + 3)*(7 - 1 - 4) + (-2 + 2 - 5*b)*(3 - 2 + 0))*(-5*b + 3*b**2 + 5*b) to y + a*b**2 + c*b**3 + t*b and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3349842293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36\/(-21) - (-468884)\/994 is divided by 154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10114209 divided by 259.\nAnswer: -39051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 6*o - 2. Let w be p(-5). Let k be 3 + (w - (12 - 4)). Let v(t) = -t**2 + t - 1. Let r be v(2). Put k, r, -3\/7 in increasing order.\nAnswer: r, k, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/60 + h**4\/8 + 5*h**3\/6 - 2*h**2. Let u = 1415 - 932. Let q be 74\/(-14) + 138\/u. Determine j(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1240 and 624464?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05082 - 0.04918. Sort -1012, -0.3, o in decreasing order.\nAnswer: o, -0.3, -1012","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.29, 11, -4\/13, -2\/7, 6, -4\/5, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11101111100011100010111101?\nAnswer: 11101111100011100010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112440?\nAnswer: 2, 3, 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 2:22 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = 0, l - 4*k = -0*k + 7. Suppose -5*w = -0*w + 5. What is the smallest value in w, 1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*z. Let w be (z + 0)\/(38\/19). Solve -2*y - y = w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/14756 and -3\/992?\nAnswer: 118048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-15))\/((-4)\/48). Let d(c) = c**2 - 7*c - 5. Let r be d(p). Solve 0 = 2*j + r*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 15 = 5*w, w = 2*k + 3 - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 6. Let q be x(5). Let n be (-4 - -2)*(1249999 + q). What is n rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 y when three letters picked without replacement from {s: 2, y: 1, k: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*s = 323*s - 91. Suppose 4*w = h + 1, -2*w + 4*h = w - 4. Solve w = 2*o - 4*v + 5 + 1, -2*v = -3*o - s 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) -814 (b) 1 (c) -4\/5 (d) 5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 245015*f**4 + 2*f - 231664.\nAnswer: 980060*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -187100 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**8\/336 - 13*z**7\/315 - 7*z**6\/36 - 7*z**5\/15 - 47*z**4\/72 - 5*z**3\/9 - 140*z**2. Let i(m) = 0. What is m?\nAnswer: -5, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4906 minus 120841899?\nAnswer: -120836993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 9*v - 72. Suppose 0 = -7*a + 9*a - v. Solve 5*i + 3 = a*s - 4, 4*i = 5*s - 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - j)*(-2 + 6 - 8 - 6 + 4 + 3 + (2 - 3 - 1)*(-3 + 1 + 0))*(-9*j + 16*j - 8*j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 607673*h + 1513945 wrt h?\nAnswer: 607673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 15) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 80. Suppose q*p - 18 = -z - 2*z, -2*z + 3*p - 7 = 0. Let f = -42 - -40. Which is the closest to z? (a) f (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3*7*2\/168?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**2\/2 + b + 96. Let g(z) = 4*z**3 + 4*z**2 - 6*z - 6. Let l = 0 - 6. Let f(u) = l*d(u) - g(u). Factor f(a).\nAnswer: -4*a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16962 + -16946. Let f(j) be the first derivative of -27 - 29\/5*j**5 + 0*j**4 + r*j + 0*j**3 + 0*j**2. Differentiate f(o) with respect to o.\nAnswer: -116*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 641.000018 + -641. What is z rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 78899*i**2 + 14*i - 40. Let u be v(10). Round u to the nearest one hundred thousand.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16022 - -257397. Let l = -93375 + q. What is l rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {s: 1, p: 1, n: 4, g: 1, k: 2, j: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 52\/19, 4, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 14 = 2*n, 9*n + 99421*b + 50 = 99416*b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 14) in base 15?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -0.36, -0.5, 0, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3926151243 to the power of 1\/2, to the nearest integer?\nAnswer: 62659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, -27182, 2, -2, -3 in ascending order.\nAnswer: -27182, -4, -3, -2, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 3*g**2 - 2*g + 4. Is 14 a factor of k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034034 to six dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 6*a + 6. Let f(r) = -3*r**2 + 11*r + 11. Let l(u) = -11*b(u) + 6*f(u). Let z(p) = 9*p**2. Determine l(z(x)).\nAnswer: 324*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + -11 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5977 + 29888\/5. Which is the third smallest value? (a) 0.2 (b) 144 (c) t (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83\/4 + -21. Put 13, 0.3, v in increasing order.\nAnswer: v, 0.3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3147774 or -3147780?\nAnswer: -3147780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1360*m**2 - 6*m + 50960 wrt m?\nAnswer: -2720*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 2*a**2 + 65*a - 27. Calculate r(6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66263520 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 3*c**2 + 2*c - 3. Suppose -g - 2*g = -9. Let a be r(g). Solve a*j - j + 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 395\/135 - (-56)\/756. Let d(s) be the second derivative of 0 + 0*s**3 + 5\/2*s**2 - 5\/12*s**4 + a*s. Factor d(k).\nAnswer: -5*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18140, 72556, 163248, 290216?\nAnswer: 453460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 + -25 + (-7 - (3 - 6) - 2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305.7 + -326. Let u = 23.37 + o. Let z = u - 0.07. Which is the second biggest value? (a) -0.4 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/63)\/((155\/(-18))\/(-31))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, b: 4}. Give prob of picking 3 z and 1 b.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p*s**2 + 11*p*s - 62*p - 90167*s**2 + 2 wrt s.\nAnswer: 4*p*s + 11*p - 180334*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 - -48. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 3. Let m be 1\/2 - 2\/(-4)*5. Let o be y(m). Solve 3*s + o*s = -15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8197945.\nAnswer: 5, 7, 33461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378184 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/3)\/(-1) - (-10336)\/114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2\/15 - 7022*b\/15 + 212387764\/15 = 0.\nAnswer: -12209, 8698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 4. Determine j(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -21 + 22 - (7 + 1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 2*w - 5. Let i be t(-4). Suppose 0 = 6*k - 3*k - i. Suppose -12 = f - 3*z, 4*z + 15 = -f + 38. Does k = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1\/4 (c) 656 (d) 1 (e) -0.4 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*a - 38*a = 0. Let j(x) be the third derivative of a - 1\/8*x**3 - 36*x**2 + 0*x - 1\/24*x**4 - 1\/240*x**5. Find m such that j(m) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(4*2*sqrt(117))\/(sqrt(63)\/(-2*sqrt(7))).\nAnswer: -3 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d - 3*d**2 - 335*d**4 + 3*d + 1 + 337*d**4 - 2 in the form n*d**4 + i*d + r*d**3 + u*d**2 + j and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 5*d**2 + 2*d - 11. Let w be c(-6). What is the second derivative of -w + 0 + 2*g + 592*g**2 - 595*g**2 + 4*g**3 - 7*g wrt g?\nAnswer: 24*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1356 = -91*y + 282 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 8 = -3*y - 5*m, 27 = 7*y + 4*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4494 - 4494 - 2*z**2 + 3*z**3. Let v(n) = -19*n**3 + 13*n**2. Determine -39*o(t) - 6*v(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -106197*f*x**2 + 232*x**2 - 81 wrt f?\nAnswer: -106197*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (2*sqrt(52))\/sqrt(4) - ((sqrt(13) - sqrt(13)*-1) + 0)) + -1 - ((sqrt(91) + 2*sqrt(91) + sqrt(91))*-1)\/(sqrt(343) + 2*sqrt(343)).\nAnswer: -1 + 25*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-16)\/5 + (-18 - -20))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - -10010231?\nAnswer: 10010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4825 from 1917.\nAnswer: 1917.4825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**5\/4 + 153045*k**4\/4 - 1951208865*k**3\/4 - 17569145025*k**2\/4 - 13178925180*k - 13179958416 = 0.\nAnswer: -3, 25512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 0 - 1\/2*a**3 - 2\/105*a**7 + 0*a**5 + a**2 + 0*a**4 + 0*a + 0*a**6. Differentiate n(v) wrt v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3738 and 55\/392.\nAnswer: 104664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15106 + 105167. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(60) - sqrt(60))\/(1*(sqrt(12) - (3*sqrt(12) + sqrt(12))) + sqrt(12)).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(9\/2))**(1\/9))**(1\/22) assuming v is positive.\nAnswer: v**(1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1911*a**2 - 2*a + 1913*a**2 - 6*a**4 + 4*a**4 + 3*a**3 as u*a**4 + b*a + r*a**2 + y*a**3 + o and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -10, -1.\nAnswer: -10, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 12, -n - 6 = -2*n + 2*w. Suppose 11*i - 4*x + 30 = n*i, -4*x = -5*i + 78. Calculate the greatest common divisor of 63 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 3:18 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.5 + 15. What is the fourth smallest value in -5, 1\/2, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 3.2?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 = -3*u, 4*u + 1 = -5*p - 4. Let o = u - -9. Solve -4 = -o*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -151158?\nAnswer: -151162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8677307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -875\nAnswer: -871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1370, 3306, 5242, 7178, 9114, 11050?\n\"Answer: 1936*b - 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.56 - 4. Let p = k + -0.06. Let s(j) = 2*j**2 + 3*j. Let y be s(-2). Which is the biggest value? (a) p (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 52955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*l + 10, 2*l + 4*s - 7 + 19 = 0. Let n(g) = 11*g**2 - 1. Let z be n(l). Suppose 0 = 5*w - z - 7. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 7*y**2 - 3*y - 5. Let f be t(-7). Calculate the greatest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5420617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 10*d - 554. Suppose 4*n - d = -0*n. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 l when three letters picked without replacement from {l: 4, n: 11}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 37 (b) 11\/6 (c) 1 (d) -2\/9 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16368.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 11 - (13 - 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -287 divided by 849\nAnswer: -287\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8614?\nAnswer: 2, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let q(b) = -b**2 - 2*b + 3. Let z be q(-5). Let j be (-8)\/z + 17\/(-12). What is the second biggest value in -4\/3, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3355621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -538, -2131, -4780, -8485, -13246, -19063?\n\"Answer: -528*v**2 - 9*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*2*sqrt(12))\/(sqrt(64)*-5))**2 - (sqrt(33) + (sqrt(33) - (sqrt(132) + sqrt(132) + 2*sqrt(132))))\/(sqrt(22)\/sqrt(2)*3)) + -3.\nAnswer: -63\/25 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 237588909313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533 = 14*m - 1751. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16*l + 585. Calculate h(-36).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 16*f + 95. What is the highest common divisor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1467 and 22284.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2 - t**2 + 0*t - t**3 - t**2 + 2*t. Let q(x) = -x - 8. Calculate the smallest common multiple of g(-3) and q(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440.5924 months in years?\nAnswer: 203.3827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 91\/39 + 1 + -2. Are 0 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 g when three letters picked without replacement from {g: 2, c: 1, b: 1, e: 1, a: 1, w: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-1885)\/(-1479))*(0 - 20\/12)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -514436540 rounded to the nearest one hundred thousand?\nAnswer: -514400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = r, -o + 5 = -2*r - 2*r. Solve -4*g - 24 = 5*x, r = 5*x + g - 4*g + 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -7*l - 3088. Let a = l - -659. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -29\/3, -0.1, -1\/2117?\nAnswer: -1\/2117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3 = 0, 13 - 2 = -5*y - 3*l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 499384 = 0. Let f be n\/4*(970 - -4). Suppose -6*j = -4*i - 2*j - 30399996, -f = 4*i + j. What is i rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -99*h**4 + 8*h**2 + 51*h + 9. Let u(k) = -25*k**4 + 2*k**2 + 13*k + 2. Let m(z) = -2*q(z) + 9*u(z). What is the second derivative of m(r) wrt r?\nAnswer: -324*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46215083 or -46215082?\nAnswer: -46215082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/3 - 257210*i - 49617738075 = 0. Calculate i.\nAnswer: -385815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4\/7, -1\/3, 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -138*w + 229 + 1013. Solve 4*q - 11 = 11*j - 12*j, w = 3*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97005786?\nAnswer: 2, 3, 37, 436963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 3*o**2 - 5*o + 7. Let x be l(4). Suppose 2*f + x*i - 141 = -f, 2*f - 4*i - 100 = 0. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*g - 2, -2*p - 4*g = p - 26 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 - -125. Suppose -f + 128 = c*n, 0 = -3*f - 0*n - 4*n + 394. What are the prime factors of f?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1788075 - 1779*i - 4579*i - 1788075 in the form p + o*i and give o.\nAnswer: -6358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259 divided by -24993.\nAnswer: 259\/24993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -589*a - 17 - 21 + 34 - 366*a - 315*a as q + h*a and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3220\/1741503?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (306*l - 46*l - 682*l)*(-11*l + 71 - 71).\nAnswer: 4642*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389 is divided by 53.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9684?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/2 + 10*b**4 - 29*b**3\/2 - 61*b**2 - 36*b = 0. Calculate b.\nAnswer: -1, 0, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 22*y**2 + 53*y + 16. Let w be p(19). Let o be (6\/4)\/(w\/80) - -1. Is o equal to 2\/151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13874058.\nAnswer: 2, 3, 11, 23357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -740.5987 + -0.1013. What is f rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -16) + 9112\/(-646).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - 0.75. Let n = 923789.049898 - 923790. Let w = n - d. What is w rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 804 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w + 32. What is r(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-5) - (-1626)\/30. Let t = -1284 + 1878. Calculate the highest common divisor of t and p.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {e: 5, t: 8, j: 4}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422965268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/212080 and -81\/212080?\nAnswer: 212080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 2*z + 1. Let f = 39 + -36. What is the smallest common multiple of y(-2) and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-780)\/1755*(-8 + -1)*1. Suppose -d = -3*v - 4*d - 3, 2*v = 5*d + 19. Suppose -l = v*l. Solve l = -b - b - u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 3)*(297 + 34*d - 297) - 11313*d - 10639*d + 20402*d as j*d + a and give j.\nAnswer: -1516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -52 * 49001\nAnswer: -2548052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01987316 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1791, 1748, 1705?\nAnswer: 1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*w + 3202203 + 5634599, 0 = w + 3*l + 4418406. Round w to the nearest 10000.\nAnswer: -4420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-478)\/7 + -3*(-10)\/105. Calculate the remainder when 41 is divided by h\/(-6) - (-1)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljltlulllttlt. Give prob of picking 1 t and 1 l.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 1.7. Which is the closest to -6? (a) 1 (b) h (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 815, 819, 833, 863, 915, 995, 1109?\n\"Answer: u**3 - u**2 + 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 1. Let c(r) = -7*r**2 - 5*r - 10. Let w(n) = -c(n) + 6*h(n). What is the units digit of w(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110 (base 2) to base 15\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 764, -1005, 4, 5 in increasing order.\nAnswer: -1005, 1, 2, 4, 5, 764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/390 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40ac (base 13) to base 8.\nAnswer: 21342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o = 0. Suppose 2*r - 3*r = 4*h - 83, o = 4*h - 5*r - 65. Suppose -3*f + h + 31 = 3*y, -10 = 5*f. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -1\/9*n**4 + 0*n**3 - 16*n + 1\/15*n**5 + 2 + 0*n**2. Suppose h(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29953225 to the nearest integer?\nAnswer: 5473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2568106086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 50. Suppose -7*g = -14*g + 329. Let p = g + c. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*s**3 + 105*s**3 + s**2 + s**2 - 11*s**2 - s**2.\nAnswer: s**3 - 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -224 (b) 0.4 (c) -967\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -718538, -2874129, -6466782, -11496497?\n\"Answer: -718531*d**2 + 2*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**13*r*r\/(r**(3\/8)\/r))**18*((r\/r**(3\/2))\/r**(-2\/3))**(-3\/5) assuming r is positive.\nAnswer: r**(5983\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 581 and 1577?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 376, 258, -354, -1460, -3060, -5154, -7742?\n\"Answer: -247*h**2 + 623*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -13 + 8 + 7 - (64 + -73)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.1 (c) 0.16 (d) 2\/9 (e) -3\/4 (f) -5 (g) 2\/863\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 11:31 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63273414*k**3 - 11920464?\nAnswer: -189820242*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -17*g**2 + 192*g - 199. Let v(n) = 4*n**2 - 46*n + 50. Let k(w) = 2*u(w) + 9*v(w). Factor k(d).\nAnswer: 2*(d - 13)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-7 + 2 - 0)*1. Suppose t*w = -3*w + 312. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -605 (base 13) in base 16?\nAnswer: -3fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*h = 220, f = h + h + 60. Let o = 2 + f. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**2 + 0*n**2 - 2*n + n**2)*(-1931*n + 4140*n - 1635*n) in the form u*n + i*n**2 + a + h*n**3 and give h.\nAnswer: 1722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9377.452 millilitres to litres.\nAnswer: 9.377452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/288 and 23\/18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10943 divided by -177?\nAnswer: 10943\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-208)\/(-468))*(476\/210)\/(-17).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 0)*(-58)\/3. Suppose 0 = 4*r - l - 54. Let a be (-28)\/56 - (-45)\/6. What is the greatest common factor of a and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4517*w**3 + 4515*w**3 - 2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.1 (b) 1 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288187.\nAnswer: 97, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -675 (base 8) to base 9\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213561 (base 11) in base 16?\nAnswer: 564e1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**7\/70 + 17*j**6\/120 - j**5\/2 + j**4\/2 + 4*j**3\/3 - 2*j**2. Factor y(i).\nAnswer: -(i - 2)**3*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 3:35 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -2\/13, 0.06.\nAnswer: -2\/13, 0.03, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -3042?\nAnswer: -3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**5 - 10*b**4 + 150*b**3 + 1683*b?\nAnswer: -60*b**3 - 120*b**2 + 900*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + 2*g**2 + g. Let b be z(-3). Let i = -20 - b. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-191)\/((-7)\/21 - (-4)\/(-6)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-six fifths of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 458, 1534, 3634, 7100, 12274?\nAnswer: 19498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 8626?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + -4 + (-4 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + 0.4. Let t be (-1)\/3*(-2)\/8. Let l = 1\/3 - t. Is y at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -4 (c) 4\/29 (d) -2\/3 (e) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -330*n + 133*n - 563 + 196*n to the form h*n + a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:12 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b - 10. Determine n(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - v + 15 = 5, -5*v = -4*w - 44. Let l be 35\/42 + 1\/w. Find f such that 0 + 28\/3*f**4 - f**2 - 9*f**3 + l*f = 0.\nAnswer: -2\/7, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 320212050184\/219 + -7666853098597252\/5243517. Let s = 50\/7981 - v. Let t = s - 3044. Which is greater: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.1, 1\/2, -3.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11175 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*2*-2)\/((sqrt(90)*2)\/sqrt(9)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiiiiaiiai. What is prob of picking 3 a?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 247*k*o**3 + 72448*k*o**2 - k*o - 5499018*o + 3 wrt o.\nAnswer: 1482*k*o + 144896*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22550 is divided by 4505.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3 + (4 + 6 - 5)*(-1 + 1 - 1))*(-4*a + 4*a + 2*a).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 0.1. Suppose 703*b - 697*b = 66. Suppose -11*d + 0*d = b. What is the smallest value in 1, d, -0.1, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b - 3*y + 5 = 31*b + 31 + 7, -4*b = 10*y + 80 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -12*n - 4. What are the prime factors of k(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least as big as 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 494537860 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13741 is divided by 4565.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 684 = 212. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.510767 years in millennia?\nAnswer: 0.007510767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1. Let w = 11 + -12. Let t(o) = 2*o + 2. Give w*t(d) + 2*l(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*t - 2*q + 15, 3*t - 4*q - 9 = 0. Let i = 184 - 189. Let r be ((-4)\/2)\/(-6 - i\/1). Solve 2*m = 3*j + 3, -t = j - m - r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96430 times -2?\nAnswer: -192860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 1. Let o = -49 + 52. Which is the closest to 1? (a) n (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165800?\nAnswer: 2, 5, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 436 = 4*t + 3*y, 0 = -t - 2*y + 106. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -827586.2399895 - -827568.24. Let g = 18 + l. Round g to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37*-4\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(((-2)\/8)\/(9\/18)))\/(-40)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 16 (b) -0.5 (c) -0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -72\/37 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9884 + 4946 + 4938 - 3*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12\/5, 2\/13, 7, -1, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1470*h + 26*h + 232*h + 174413 - 46541 for h.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*(sqrt(209) + sqrt(209) + (sqrt(209)*2 - sqrt(209) - sqrt(209))) - sqrt(209))\/(sqrt(1331)*2 - sqrt(1331)) + -2)**2.\nAnswer: -2620\/121 + 48*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54055870?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 774 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 30 + 8)*(434 - 434 + 32*q + 4*q - 2*q - 1 + 2 + (-2*q + 7*q - 3*q)*(0 + 0 + 2) + 0*q - q - q).\nAnswer: 1188*q + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23262 (base 9) to base 12\nAnswer: -8b9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11743d (base 14) to base 6.\nAnswer: 20440331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34365449 to the nearest integer?\nAnswer: 5862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 2, z: 1, j: 1, v: 2, u: 2}. Give prob of picking 1 t and 2 q.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 212*u**3 + u**2 - 104*u + 1?\nAnswer: 1272*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z - 40. Let n be i(22). Sort 3, 13, 0, n in decreasing order.\nAnswer: 13, n, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/12 + 15 + 435\/(-90)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 2*u - 1. Suppose x - 16 + 3 = 0. Let r = 33 - x. Calculate the remainder when r is divided by q(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-6)\/((-3)\/((-3)\/8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 347.56718 to the nearest integer.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1821*-3\nAnswer: -0.5463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15724988291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7614 + 26158 = 881*q - 14567 + 2527 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = 4*k - 5*s, -s - 15 = -4*k. Suppose q + 5 = -k*u, -q + 2*u = -0*u - 2. Solve -4 = -w, q*t - 5 = t - w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-246)\/1640)\/(165\/264*(-6)\/10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5 - (-3)\/(-2))*(-285)\/21 and -74\/225?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f - 11. What is the units digit of s(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2472 and 2163?\nAnswer: 17304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50952 and 792.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 480 = -304. Let k(y) = 10*y + 22 + h*y - 33*y + 14*y. Let j be 0 - (1\/1 + -11). Give k(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21662172 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 + 146. What is the remainder when o is divided by 3 + (-2)\/((-2)\/21)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t**4 + 77570*t - 108859 with respect to t.\nAnswer: -8*t**3 + 77570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 0*t + 3 + 1\/2*t**2. Let x(z) = 2*z + 253672 - 253672. Determine x(n(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-312)\/(-15) - (-3)\/15. Let c be (-6)\/d - (-6876)\/(-42). Let p = -98 - c. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802.2022ug to milligrams.\nAnswer: 0.8022022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, d: 7}. Give prob of sequence vvdd.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*z**2 + 81*z - 81*z)*(-24*z + 31154 - 31154).\nAnswer: -696*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585 and 1404?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.58 - -0.42. What is the closest to 2 in 4, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4)\/10 + 204\/10 and 5 - ((-4)\/6 - 33\/(-9))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 354, 438, 522?\n\"Answer: 84*a + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4))**(-33)\/((((z*z*z**14\/z)\/z)\/z*z)\/(z\/z**(2\/25))))**(-44) assuming z is positive.\nAnswer: z**(-130812\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3*18\/48. Which is the second biggest value? (a) -5 (b) -3 (c) r (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/1041, -0.0641?\nAnswer: -0.0641","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**14*v*(v\/v**(1\/24))\/v)**1*v**(-8)*(v\/(v\/v**(-9))*v)\/v*(((v*v*v**(3\/5)*v)\/v)\/v)\/((v**2*v)\/v) assuming v is positive.\nAnswer: v**(-293\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 253042 and 253167 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**2 - 4*s. Let l(c) = 2 - c + 0 - 6*c - c**2 + 6*c. Let f(y) = -6*l(y) + n(y). Factor f(u).\nAnswer: 2*(u - 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8752607 to the power of 1\/2, to the nearest integer?\nAnswer: 2958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 6*m**2 - 18*m - 12. Let h be k(-8). Find the common denominator of 41\/45 and (h - 1) + 17514\/(-4860).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-56)\/(-32) - (-6)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3584170 is divided by 34134?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - u + 0)*(0 - 1 + 0) - 3*u - u + 6*u + 3*u + 0 + 0 in the form g*u + t and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 630329 and 3339?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 3:05 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92.101 - 92.6. Round k to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 14*t - 42 = 0. Solve 3*x - t = -2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -75, -313, -709, -1263?\n\"Answer: -79*c**2 - c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1056*p**2 + 18. Let o(l) = -43*l. Give o(d(v)).\nAnswer: 45408*v**2 - 774","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -114134?\nAnswer: -114140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 248.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let m be 3 + (-9 - 0\/(-2)). Let r = m - -19. Calculate the remainder when r is divided by t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/((t\/((t\/(t*t**(-16)))\/t))\/t))\/t)\/(t\/(t**30*t)))\/(t**(-2\/23)\/(((t**(-7\/5)*t)\/t)\/t)))**(1\/10) assuming t is positive.\nAnswer: t**(4909\/1150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 22*i**2 - 48*i + 24. Let y be o(-24). Calculate the highest common factor of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15828349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1459 = -6*u - 1381. Let d(b) = 2*b. Let w be d(-4). Let i = u + w. What is the greatest common factor of 2 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 6687.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -11, -0.3, 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/4 - 433407*a**4\/4 - 11740264254*a**3 - 35219817602*a**2 + 433404*a + 46959756804 = 0. What is a?\nAnswer: -216702, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 6*l**2 + 9*l - 1. Let x(q) = -2*q**3 + q**2 - 2*q + 7. Let a be x(0). Let o be v(a). Solve 0 = f - 2*g + o, 3*f = 4*g + g - 34 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = 0, 8 + 0 = 2*u - 2*t. Let p(b) = b**2 + 5*b + 7. Let h(k) = 3*k**2 + 9*k + 14. Let i(r) = -2*h(r) + 5*p(r). List the prime factors of i(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474 - 474 + 3385*q**3.\nAnswer: 3385*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-352)\/(-4))\/4*(-156)\/6. Is 7591\/13 - 44\/m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 24*v**2 - 36*v**2 + 18*v + 37 + 11*v**2. Let a be t(20). What is the second smallest value in 1\/7, a, 1\/3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/26 - (-5960)\/130. Suppose -2*u + 2 - 8 = -4*f, -5*f + u = -3. Suppose f = 4*g + 3*h - a - 34, 5*g = 2*h + 123. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 21. Calculate the highest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750.055cm in millimeters?\nAnswer: 27500.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 12*n - 7. Let z be r(-5). Solve 0*x + 27 = 3*x + 3*u, 0 = z*u - 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11118.5201 to the nearest ten.\nAnswer: -11120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - u - 3*u**2. Let n(i) be the third derivative of -i**5\/60 - 4*i**2. Give n(m(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 11. Let g = -3\/296 + 157\/888. Let o(w) = w**2 - w + 5. Let k be o(0). What is the smallest value in a, k, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 * 0.4.\nAnswer: -49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13999864 from -6.\nAnswer: 13999858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -15. Let d(l) = l**3 + 23*l**2 - 3*l - 60. Let j be d(-23). Suppose -87 = -j*o - 123. Sort -3, i, o in descending order.\nAnswer: i, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -59 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 4, 1, -15549 in descending order.\nAnswer: 4, 3, 2, 1, -15549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g + 3*o, 8*g - 3*g - 20 = -4*o. Let l = 43\/20 - 11\/4. What is the nearest to 0.2 in g, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13972878343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8137662.\nAnswer: 2, 3, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 654 divided by 2\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, 37, 86, 175, 316, 521, 802?\n\"Answer: 2*x**3 + 2*x**2 + x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**2 - l - 16. Let o(n) = -3*n**2 - 8. Let u(r) = 4*c(r) - 9*o(r). Let a be u(5). Suppose -137 = -8*j + a. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557223 + 557223 + 10992*d.\nAnswer: 10992*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -322332?\nAnswer: 322331.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3 = 12. Let p(q) be the second derivative of -2*q + 0*q**u + 0 + 1\/12*q**4 - 1\/2*q**2. What is the derivative of p(f) wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-73968)\/21574*-3*28\/90\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/33 and -44\/663.\nAnswer: 7293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5399*s = -252571 + 733082 for s.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, -158, -662, -1370, -2282, -3398, -4718?\nAnswer: -6242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3\/2 + 366*p**2 - 43911*p\/2 - 45387 = 0. What is p?\nAnswer: -2, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 7*x - 7. Let r be y(3). Let h = 21 + -15. Let d = 12 - h. Solve d + 19 = -r*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (25 - (7 - -7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 9*p + 6*p - 29, 5*p + 40 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23792 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/9 + 2 + (-112)\/(-18). Let l(m) = m - 12. Let q(d) = -d + 30. Let c be q(12). Let w be l(c). What is the greatest common factor of i and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*i - 152, -o = -i + 6*i - 179. Suppose -o*k + 1438 = -162*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 6159 = -33265. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11556*i**2 + 2566 wrt i?\nAnswer: 23112*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65228.1 * -0.3.\nAnswer: 19568.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 + -0.1. Let z = -2.1 - -14.1. Let f = 12.1 - z. Which is the closest to f? (a) h (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 2293434.\nAnswer: 2293434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*a - 19, -22 = -5*a - 0*t + 2*t. Suppose -y = -5*y + 16. Suppose -4*c = -y - a. Solve -f + 2*f = 3*z + 14, f - 10 = c*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806956.3 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 + 5*u + 5. Let m be 0\/(-1 - (-6)\/(-3)). Let i(v) = -3 + m + v**2 - v + 2. Calculate b(s) + 4*i(s).\nAnswer: s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:49 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.481 - -0.13?\nAnswer: -3.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -16958700 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 77*(-30)\/(-60) - 39?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = -2*y + 2, 4*q = y - 4. Round q to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7020415098 to the nearest integer?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12905 and 2272295.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u**2 - 58*u + 143. Let b be k(8). Sort -29, -6, b, 3, -5.\nAnswer: -29, -6, -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 9875163.0721\nAnswer: -9875158.0721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36102886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.19542324 and 49.\nAnswer: 48.80457676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11895, 16512, 24207, 34980?\n\"Answer: 1539*c**2 + 10356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*y**2 + 8*y**2 - 86*y**2.\nAnswer: -178*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1748, 1740, 1728, 1712, 1692, 1668?\n\"Answer: -2*o**2 - 2*o + 1752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216952 is divided by 11774?\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2148926?\nAnswer: 2, 13, 82651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 22. What is the third biggest value in f, -2\/23, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/5)\/(r\/r**(-1\/2)*r))**(47\/5)*(r\/(r\/(r**0*r)))**(-34)*((r*r*(r*r\/r**5*r)\/r*r*r)\/r)\/((r**(1\/4)*r*r)\/r) assuming r is positive.\nAnswer: r**(-6439\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 666316 and 40916.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3094337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*f**2 - 6*f + 3*f + 3*f.\nAnswer: -74*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b + 2. Let s(d) = d - 1. Calculate -7*s(m) - 3*z(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + -0.07. Which is the nearest to d? (a) -16 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:45 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3643\/9 + 405. What is the fourth smallest value in 2, 13, f, -1\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 7 + (-581 - -585).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*x = -208*x - 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1861, -7501, -16931, -30157, -47185, -68021, -92671, -121141?\nAnswer: -153437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/35*555\/(-18))\/((-14)\/(-336)*-12).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 27. Suppose 987 = s*v + 3*v. Let p = v + -81. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*u + 22, -1 - 17 = -3*u + 3*v. Suppose 0*d - 4288 = -2*d + 3*o, 2*d + u*o - 4308 = 0. What is d rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146.7 + -146.0496. Let t = f + -0.0644. Round t to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 269, 547, 825, 1103?\n\"Answer: 278*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1812)\/17667)\/(-1 + (-2)\/(-6)). Let d(z) = -z**3 + 2*z**2 + z - 1. Let w be 3 - 3\/6*2. Let j be d(w). Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5941, 4, -749 in descending order.\nAnswer: 5941, 4, -5, -749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -21. Solve 4*x = -q - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 12 = 5*g, -3*m - 18 = -23*g + 20*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2.9, 5, 4.\nAnswer: -3, -2.9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d - 7 + 151. Let j be 48\/(-9) - d\/(-9) - -4. Solve j = -5*w - 5*o - 30, w - 18 = 2*w + 5*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 171*v**8\/14 + 2*v**4\/3 + 79*v**2\/2 + 3021*v. Find the third derivative of g(a) wrt a.\nAnswer: 82080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832740 divided by -208185?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -4 - (2 - 1) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + t**2 + t + 1. Let b(o) = 15*o**3 - o**2 - 27*o - 1. Let w(h) = -b(h) - f(h). Find the second derivative of w(m) wrt m.\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-8) + 3\/12. Suppose t = 3*o - 13. Is o < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/5 (b) -4737 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 764 = 6*o + 734. Solve -20*w = -19*w - y, 4*w + 3 = o*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -68*n**2. Let j(t) = 57218*t. Determine d(j(r)).\nAnswer: -222625167632*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 e when three letters picked without replacement from qqqeeqqqq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a factor of 111809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 12. Let p = -369.25 + 3.25. Let v = -365.8 - p. Which is the closest to -4? (a) 3 (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1118 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 r when three letters picked without replacement from frfrrfffrfrrrffrrrr.\nAnswer: 440\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Does 3860 divide 395657837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97256, 388987, 875196, 1555877, 2431024, 3500631, 4764692, 6223201?\nAnswer: 7876152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b. Let o(d) = -12*d - 104. Let t be o(-11). Let h(z) = -z - 103 + t + 47. Calculate i(h(f)).\nAnswer: 3*f + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 1580*f**3\/3 + 1540*f**2 + 2*f - 518. What is the derivative of z(t) wrt t?\nAnswer: 3160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.6? (a) -0.1 (b) -2\/19 (c) 401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (146*i**3 - 153*i**3 + 533*i**3)*(3*i + 2*i - 7*i) to the form g*i**4 + n*i**3 + w*i**2 + h*i + q and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 35*q + 9. Let a be 5\/(-20) + ((-75)\/(-12) - 2). What is the units digit of w(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 5:55 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6ea4a - 5?\nAnswer: 6ea45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*x - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**5\/4 + b**4\/2 + 2*b**3\/3 - 9*b. Let v(y) = 14*y**3 - 17*y**2 - 11*y. What is -11*n(r) - 4*v(r)?\nAnswer: -r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 13. Suppose -44 = -3*d + 2*m, -2*d - m + 77 = 2*d. Calculate the smallest common multiple of n(-11) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8eff (base 16) to base 10\nAnswer: -36607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10458 * 724\nAnswer: -7571592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 10:49 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-3)\/((-6)\/4)). Let w(y) = y**2 - 4*y - 3. Let u be w(-3). Let f be (-4)\/u + (-200)\/(-90). Solve 4*q + 16 = 2*l, 4*q + q + f*l + 2 = c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2 = -3*o, -3*l + 4*o - 176855 = -176854 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m - 1. Let r be z(1). Let c = 19 - r. Let d(u) = u**3 - 18*u**2 + 19*u + 8. Let t be d(c). What is the greatest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**2\/2 - 1. Let b(f) = 5*f**2 + 5. Let a(g) = -7*g**2 - 8. Let u = -7 + 12. Let n(d) = u*a(d) + 8*b(d). Calculate n(x(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(250)*5 - (-5 + sqrt(17)*2 - -4*(sqrt(17) + 0)))**2.\nAnswer: -50*sqrt(17) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 7*j - 26. Let z = j - 23. Suppose 0 = -4*h + 5*a + 111, -z*h + h = 5*a - 33. What is the least common multiple of 24 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 43. Suppose 0 = 4*z - w*l + 2 - 22, -2 = l. Suppose -4*g = -2 - 6. Solve g*a - 4 = z*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Suppose -n*d + 25 + 29 = 0. Calculate the greatest common divisor of 648 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = -3*z - 1, -4*z + 11 = v. Let m be (1 - (1 + v)) + -2. Suppose -26 = -m*w + 28. Calculate the lowest common multiple of w and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**5\/10 + p**4\/2 - 2*p**3\/3 - 6*p. Factor g(c).\nAnswer: -2*c*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 58, -0.039, -2.45, -3\/5, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23, -14, 9, 52, 121, 222, 361?\n\"Answer: r**3 + r**2 - r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1895614 and 5046.\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170114218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**5\/60 - 11*b**4\/24 - 19*b**3\/6 - 66*b**2. Calculate the lowest common multiple of 24 and k(-7).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from zrzf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 53*d**4 - 690*d**3 - 1524*d**2 - 766*d + 15 = 0?\nAnswer: -1, 1\/53, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/100 and 73\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*z - 2*z - z)*(2*z**2 + 2*z**4 - 2*z**2) - z**5 - z**5 + 3*z**5)*(4 + 0 + 0 + (-1 + 4 - 1)*(-3 - 1 + 6))*(-6 + 0 - 3).\nAnswer: -216*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10413 - 10413 + 2198*w**2 + 4 - 4 + 2*w**2 + (-w + 5*w - 3*w)*(2*w - 4*w + 5*w).\nAnswer: 2203*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 98+-15899.734788\nAnswer: -15801.734788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3755 - 3755 + 148*j**3.\nAnswer: 148*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188806 - 0.058.\nAnswer: -188806.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 422, -5, 4, -1 in decreasing order.\nAnswer: 422, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -32, -60, -100, -152?\n\"Answer: -6*c**2 + 2*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -20, 2.\nAnswer: -20, -7, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (74 - 79) + (-286280)\/(-4) + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115059491\/2910 - -197698\/5. What is the common denominator of -131\/6 and r?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y - 82. Let v(x) = -2*x + 1. Let d(g) = -q(g) + 2*v(g). What is d(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 2444540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aafafffaass?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = 22. Let y = o + -3. Solve 0 = 2*z - 2 + y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2038036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 24142806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -8*h. Suppose 5*z - z - 4 = 0. Is z bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/189)\/(27\/((-27945)\/(-46)))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59423570, 59423593, 59423662, 59423801, 59424034?\n\"Answer: 4*d**3 - d**2 - 2*d + 59423569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(36)\/sqrt(4)))\/(((sqrt(64) - (sqrt(64)*-3 + sqrt(64))) + sqrt(64) - sqrt(64))\/sqrt(8))*-4.\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = -5*d. What is the derivative of 4*j - 4*j**2 + 3 + 3 - d*j wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 70158*b - 70169*b + 1.\nAnswer: -11*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -283, -313, -347, -385?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(396))**2 + 0)*-1.\nAnswer: -397 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -620*b**4 + 69286*b**2 - 4754234*b + 3?\nAnswer: -7440*b**2 + 138572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(396) + -2 + sqrt(396) + 1))**2.\nAnswer: -600*sqrt(11) + 39625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11580394249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 + 3*d**2 + 0*d**2 to s*d**2 + z*d + k and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 524 + 720. Let q = -1243.99333 + a. Round q to four dps.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 191 (b) -0.4 (c) -0.1027 (d) 0.1 (e) -1.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37540 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h + 4*h + 11 - 9. List the prime factors of o(8).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 42. Let i = 8 - 8.5. Let t = i - 0. Which is the biggest value? (a) r (b) -1 (c) -0.4 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15940602859.00000031 - 15940602783. Let x = 76 - t. What is x rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 822 - 728. Suppose 0*u - 98 = -2*u. Let d = u - 25. Calculate the remainder when m is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - -118. Let c = -6146\/51 + 361\/3. What is the nearest to -3 in c, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/5)*j)**(-3)\/(j*j**(-2))**36)\/((j\/j**(-2\/11))\/(j*(j**(4\/9)*j)\/j)*((j\/(j\/(j\/((j*j**(-2\/7))\/j))))\/j)**(-3\/34)) assuming j is positive.\nAnswer: j**(1819448\/58905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 4*k - 38, 0 = -3*g + 10*k + 27 + 76 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n - 3*n. Let w = n - -12. Let r = w - 5. What is the highest common factor of 40 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/4)\/(4\/(-16)). Suppose i - 1 = 4*v. Let r(o) be the first derivative of -o**4 - 2*o**3\/3 + o - 2. Give r(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b**2*t - 40*b**2 - b*t wrt t?\nAnswer: -5*b**2 - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 2*o**2 + 0*o**2)*(5*o**3 - 3*o**3 - 3*o**3) + 6*o**5 - o**5 - 3*o**5 + (-o**5 - 2*o**5 + o**5)*(-1 - 1 + 0) + 2*o**5 - 4*o + 4*o.\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*l**3 + 681 - 681.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 195, 379, 531, 633, 667, 615, 459, 181?\n\"Answer: -3*h**3 + 2*h**2 + 199*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 4*s**2 + 3*s - 6. Let a be n(4). Let c(h) = 7*h - 8. Suppose -98 = -5*i - 73. Let y(x) = -2*x + 3. Let f(u) = i*y(u) + c(u). Calculate f(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = -v, 9 = 2*v + 4*s + 1. Suppose 0 = v*o - 143 + 139. What is the first derivative of -16 - 61*j**o + 4 + 2 + 22*j**2 wrt j?\nAnswer: -78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:42 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 plus -0.55639673769?\nAnswer: 26.44360326231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/14*228\/171.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r + 183 = -132 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.095 - 0.222. Let s = -3.673 + k. Let h = s + -1.2. What is the nearest to 1 in 1\/5, -1\/5, h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -21 (b) 948\/7 (c) 0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 2, -2*b + 2*a + 2 = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5862 = -9*d + 6378. List the prime factors of d.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 17*r**2 - 3*r - 61. Let m be n(16). Calculate the greatest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 33*m - 1. Let d be w(-1). Let p(z) = -z**2 + z - 7. Let o be p(3). Let a = o - d. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 20*t**2 + 21*t + 2. Let v be n(-21). What is the closest to -0.1 in 4, 1\/2, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 8. Let p be y(2). Solve p = 3*h - 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577201751?\nAnswer: 7, 82457393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/4*3090\/(-6695)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -261678, -523354, -785032, -1046712, -1308394, -1570078?\n\"Answer: -i**2 - 261673*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -11. Let z be 3 + (-1 + u - -1). Let b = 1 + z. Let i(h) = -h**2 + 2*h + 1. Calculate i(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 194.75403 months?\nAnswer: 1.62295025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33014319 is divided by 3668254.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -25*q**2 + 1804*q - 56. What is the thousands digit of f(40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -20*(-1)\/(-9) + 2. Let w = 100\/3 - 34. What is the nearest to -2 in w, t, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + a = 21 + 7, -50 = 5*i - a. Let j(x) be the second derivative of 0 - 7\/3*x**3 + 15*x - 3*x**2. Let b(z) = 5*z + 2. Determine i*b(s) - 4*j(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50092841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -576, -503, -368, -141, 208, 709, 1392?\n\"Answer: 5*y**3 + y**2 + 35*y - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 + 0.85. Let z = -0.5 + f. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 300135150 + -300135018.999947. Let d = -1.558 - 129.442. Let i = d + x. Round i to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0 - (-3 + 2 + 3)) + -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30252 (base 6) to base 14\nAnswer: -1652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - -2 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449161?\nAnswer: 449161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 3:39 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 235 and 206600203456.\nAnswer: 206600203691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + k - 5 = -8, 5*j + 5*k = 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 479230.2 centuries in millennia?\nAnswer: 47923.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8713351 to the nearest integer?\nAnswer: 2952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5264*o + 5267*o + 5*a = -22 - 9, 4 = -8*o + 3*a - 46 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8156 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - -6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**5\/3 - 188*a**4\/3 + 1302*a**3 - 5704*a**2\/3 - 23873*a\/3 - 4692 = 0.\nAnswer: -207, -1, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5508 and -1.\nAnswer: 1.5508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4758 and 4.\nAnswer: 9516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -32*g - 2. Let z(j) = j. Determine -m(h) + 8*z(h).\nAnswer: 40*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 642*v - 195*v - 9387 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 875879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7903156 months in millennia?\nAnswer: 0.0002325263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108*22\/(-24)*3. Let p be 2\/(-18) - 924\/x. Suppose o - 5*k - 35 = -0*o, 0 = 3*o - 4*k - 61. Sort -5, o, p in ascending order.\nAnswer: -5, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 1, 4*b + 6*o - 3*o + 15 = 0. Let t be b\/(-2)*(-3 - -5). Suppose 4*k = 3*c + t*k - 170, k + 54 = c. Does 29 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/54 and -89\/116.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9*n + 2 - 173*n.\nAnswer: -164*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 216826451461621.\nAnswer: 216826451461618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 9*j = 2*w - 26, 39 = 5*w - 4*j. Calculate the remainder when 1 + (71 - (-3 + 1)) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2790671 is divided by 32076?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) - 2\/56. Let t = -2 - -2.5. Let o = 1814 - 1818. Which is the nearest to w? (a) -1\/4 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*s = 6, 3*s = -5*j + 3 + 6. Suppose 4*c + 3 - 11 = j. Solve 0 = x - 3 - 0, 2 = -2*d - c*x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5760)\/(-25920))\/((-3)\/3078*-2)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30\/270 - 638\/(-9) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 9. Let m be k(5). Suppose 3*v = 3*x + v + 13, -5*x - v - 26 = 0. Sort m, x, -0.1, 1 in increasing order.\nAnswer: m, x, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*h - 5*h**2 - 16*h**3 + 12*h + 6*h**2 in the form s*h + w + j*h**3 + n*h**2 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3034 (b) 5 (c) 0 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 533447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -83, -123, -161, -197, -231, -263?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.34 - 569.34. Let h = 568.0000413 + q. What is h rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Suppose s*v + 20 = 2*x + 4*v, -3*x + 28 = v. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6b7a0 (base 13) to base 7\nAnswer: 1446616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 14. Let x(y) = 19*y**3 - y**2 - 3*y + 3. Calculate the remainder when q(-9) is divided by x(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338801589 to the nearest integer?\nAnswer: 18407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) -1 (c) -17 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*f + 127259 = -78309. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 0 in ascending order.\nAnswer: -5, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p - 9. Let a be 0*(-3)\/(p\/1). Suppose -3*z - 3 = a, 4*z - 2 - 6 = -4*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*k - 3*q - 12, -4*k = -2*q - 16. Suppose k*y = 5*l - 76, y = l - y - 20. Calculate the remainder when 61 is divided by (-10)\/15*-4*l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 1 (c) 0.16 (d) -384 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2633*o + 2612*o + 588 = 0 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 7, -3\/10, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 4*o + 46 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2315554 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/3188 and 109\/364.\nAnswer: 290108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -75, -96, -133, -192, -279, -400, -561, -768?\n\"Answer: -a**3 - 2*a**2 - 8*a - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i - 66 + 135 - 93 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 4:34 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51.3 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 459.5825 litres?\nAnswer: 459582.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(10))\/sqrt(2)*5 + sqrt(45)*2*-1 + (5*(sqrt(50)\/sqrt(2))\/sqrt(5) - (sqrt(5)*1*-3 - sqrt(180)\/sqrt(9))))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-525)\/98)\/(-3)*1806\/10320.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -14*g. Let a(x) = -x - 4. Let u(y) = -1. Let b(o) = -a(o) + 4*u(o). Give b(i(n)).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7478182.9386 - 7478938. Let i = w - -755. Round i to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 s when three letters picked without replacement from slsslsllsslss.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -609 less than -251126?\nAnswer: -250517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -7. Suppose 0 = -4*x - 1 + 9. Suppose l - 32 = t + t, x*t + 2*l = -44. Put t, g, 1 in increasing order.\nAnswer: t, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j - 35*j**3 - 28*j**3 - 20*j.\nAnswer: -63*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1640 - -6469\/4. Let a be (1 - 8\/6)*69. Let b = v - a. Is b greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/5, 5\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-12)\/6)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -14. Suppose 9*w + 28 = 13*w. Let d = r - w. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -v + 63. What is the remainder when 45 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2703 or -267658\/99?\nAnswer: -267658\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3748 - 20023 = -1321*n - 92463 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -9a5?\nAnswer: a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5914 + 5372. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2083*t**5 + 75*t - 14 wrt t?\nAnswer: 41660*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41473742.\nAnswer: 2, 20736871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 782742908 or 782742909?\nAnswer: 782742909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**5 + 7*j**4 - j**3 - 2*j**2. Let z(v) = -8*v**5 - 479*v**4 - 3*v**3 - 6*v**2. Let l(n) = -3*g(n) + z(n). Let l(y) = 0. What is y?\nAnswer: -100, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 323369395*h + 323369390.\nAnswer: 5*(h + 1)*(h + 64673878)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 8*i - 10. Let m be d(-9). Let s be 2*1\/(-2)*m. Let l(j) = 5*j. What are the prime factors of l(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.9. Let s be (-4)\/(-10) + 208\/(-120). What is the closest to -2\/7 in -3\/8, o, s?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 1:54 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 181, 407, 723, 1129?\nAnswer: 1625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 97*j + 21. Let i be o(-1). Which is smaller: 0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5319891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*v + 582 = -1228 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100 - -52. Suppose 0*l - u = -2*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - (16 + -34 + -15)) + (12 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.983 + -0.017. Which is the closest to y? (a) 0.3 (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14108\/19 + 213335\/114. Let c = x + -1122. Find the common denominator of c and 9 - 6 - (-90)\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1595620*t**2 - 1185465*t**2 - 1299 + 1299.\nAnswer: -2781085*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 13 = -5*z, -7*z + 16 = d - 2*z. Let o be -1*(d + 2\/(-1)). Let j = 2.81 - -0.19. What is the closest to -1 in o, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3920*g - 1081*g + 2265*g + 1417*g.\nAnswer: 6521*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14015320 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 10*j - 6. Let o be t(-4). Suppose -o = -3*b + p, -2*b = -p + 4*p - 12. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (4 - -4) - 6) + (-1 - (50 - 10))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -687.2*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6) - 618\/18. Is 14 a factor of (r\/(-28))\/((-2)\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 4*(sqrt(567) + sqrt(567) + sqrt(567) + sqrt(567)*1 + 5 - 2*sqrt(567)*6))*6)**2.\nAnswer: -373248*sqrt(7) + 20913552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -31, 0.5, -0.19 in decreasing order.\nAnswer: 0.5, 0, -0.19, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116270 is divided by 7221.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 15 = -21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l - 40*l - 2 = 0. Suppose -4*p = 5 - 1. Let w be (-2)\/p*9\/(-30). Which is greater: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61 or 308\/5?\nAnswer: 308\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 21*l**2 + 23*l + 14. Give r(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, o: 5}. What is prob of picking 2 e and 1 o?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3 + 90*j**2 = 0.\nAnswer: -90, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 2*d + 1. Let u(k) = k - 1. Let o(n) = n**2 + 6*n + 9. Let w(v) = -o(v) - 6*u(v). Calculate the remainder when w(-6) is divided by p(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 343952 + 0.2.\nAnswer: 343952.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 16. Suppose 70 = 18*o + 16. Suppose o*a + 5 + 4 = 0, 0 = i + 2*a - 11. What is the least common multiple of i and n?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 8, 4, 0.18 in increasing order.\nAnswer: -0.2, 0.18, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(3\/2))\/(j**(-1\/2)*j*j)*j**(-2\/11)*j*j**(-5\/3)\/j assuming j is positive.\nAnswer: j**(-28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 134714 + -56.09372\nAnswer: 134657.90628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/18 - (-13)\/(-18). Is g > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -100. Suppose -4*l - 62 = -5*v, 0*l = v + l - 16. Solve 0 = -5*c - v + r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 7*t**4\/24 + 7*t**3\/6 - 50*t**2. Let m(o) = -12*o - 12. Let p(q) = -5*b(q) - 3*m(q). Determine p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2186, 4359, 6522, 8675?\nAnswer: 10818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 8:16 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-6 + -45 - -37).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g - 1. Let c be o(1). Let w be (-4)\/(-3)*27\/c. Suppose 3*i - 5 = z - 15, -5*i + 2 = 3*z. Solve -2*q = -p + w*p + 21, -p = -z*q - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 5, 7, -2, -26, 0 in decreasing order.\nAnswer: 7, 5, 4, 0, -2, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/8*(-728)\/(-156)*2\/(-14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 5. Let d = -1.6 + 1.5. Which is the nearest to 1\/4? (a) k (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16481985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-25)\/4125)\/(28\/(-154))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-8 - (-3 + 6) - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156512 and 1608.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1082*g + 87*g**2 + 1082*g)*(26*g + 17*g + 13*g) to n*g**3 + c + w*g + i*g**2 and give n.\nAnswer: 4872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516231287?\nAnswer: 11, 13, 41, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 76 = -2*y, 0 = 237*o - 236*o + 2*y - 12. Let w(x) = -3*x + 1. Let b be w(6). Let z = -9 - b. Calculate the least common multiple of z and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5 less than or equal to -2\/407987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -3. Suppose c - 9 = v, -2*v + 23 = o*c - 7*v. Let z = c + -7. Solve 3*u - 15 = 4*a, a + 3*u = -z*a + 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4495567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(720) - (-3 + sqrt(720)*-5)) + (sqrt(720) - 2*sqrt(720)) + -4 + -4)*3)**2.\nAnswer: -5400*sqrt(5) + 162230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -0.0856?\nAnswer: -0.1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*r = -2*r - 320, 0 = 8*q + 2*r - 1298. What is the lowest common multiple of 27 and q?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1459*f**2 - 8829*f**2 + 1464*f**2 + 1497*f**2 + 1464*f**2 + 1489*f**2 + 1459*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 5*l + 10, 4*l + i + 164 = 156 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/35)\/(1 - 7). Let n(l) be the third derivative of 1\/15*l**6 + 0*l + 0 + 6*l**2 + 1\/3*l**4 - 1\/3*l**3 - h*l**7 - 1\/5*l**5. Factor n(y).\nAnswer: -2*(y - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 69 + 258 = 0. Let f = a - -67. Suppose -10*l + 72 = -f*l. What is the least common multiple of 3 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.076207 grams in tonnes?\nAnswer: 0.000003076207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -46*d + 15. Let n be b(3). Let w = n + 145. What is the remainder when 81 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6952 by -632.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 8*a - 7. Let l be v(-10). Suppose l*h = -25 - 131. Let r be (5\/(-30))\/(1*(-3)\/h). Put r, 4, -4, 4\/9 in decreasing order.\nAnswer: 4, 4\/9, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -599 and -600 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g*p**3 + 16*g*p**2 + 4*g + 8*p**6 - 2 wrt p.\nAnswer: -30*g + 960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/4 - 4*q**4 - 20*q**3.\nAnswer: q**3*(q - 20)*(q + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + 3.92. Let t be (-98)\/(-28) + (2 - (-1 + 6)). Which is the nearest to 2\/7? (a) t (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -802*x + 442*x - 2*x**4 + 69 - 71 + 2*x**3 - 4*x**3 to the form w*x**2 + r*x**4 + d*x + g*x**3 + y and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -6, 4*w + 5*x - 5 + 3 = 0. Suppose w*d - 5*d = -12. Suppose 0 = 5*i - d*i + 22. What is the remainder when 42 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -180 - 1fb93?\nAnswer: -1fd13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 2.11 (c) 0.055 (d) -2\/11 (e) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -7, 1\/8, -5\/9, -4.41, 1 in decreasing order.\nAnswer: 1, 1\/8, 0.04, -5\/9, -4.41, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 5*m**2\/2 + 164. Let w(r) = -49*r. What is w(q(j))?\nAnswer: -245*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 3*s**2 - s + 4. Suppose -n + 0*a + 2*a = 5, -5*a + 17 = -4*n. Let p(f) = -2*f**3 + 7*f**2 + 3*f - 9. Give n*p(u) - 7*d(u).\nAnswer: -u**3 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 3, -17, -55, -117?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -79, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*x = -1570, -4*o - 4*x + 2265 + 867 = 0. Let w = o - 700. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8578 - -50009. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26637504 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-19\/3)*v**(1\/2)*v**(4\/7)\/v**(-29) assuming v is positive.\nAnswer: v**(997\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 59*i**2 - 2710 + 2710. Let x(q) = 3*q. What is x(b(f))?\nAnswer: 177*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469 is divided by 243.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 272847 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 154656 - 8*a + 154656.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-15)\/24) - (-3496)\/(35 + -111)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 214 - 226. Let v = -3.1 - -15.3. Let f = y + v. What is the third smallest value in f, 0, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 11. Let o = f - 1. Which is the third smallest value? (a) -1\/5 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 946*v + 87513. Calculate k(-85).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-6) - (140\/(-6) - 4). Which is bigger: v or 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 39*d + 29. Let s(x) = -20*x - 13. Give 6*f(y) + 11*s(y).\nAnswer: 14*y + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188802 and 119?\nAnswer: 1321614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30950327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68342445 rounded to 4 dps?\nAnswer: 0.6834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = 2*q - 906, -5*b = 2*q - 908. Suppose -2*v - q = -3*x, 5*v = 2*v - 3. Suppose -2*a = o - 49 - 13, -5*a - o = -x. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 289998089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 268 + -449. Let j = -181 - b. Solve 3*u + 3 + j = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3829591.\nAnswer: 373, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72.01 - 71. Let l = t + -0.01. Let s be 3\/((-24)\/10) - -1. What is the nearest to s in l, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -761, -1538, -2315, -3092?\nAnswer: -3869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 + 7*a - 15*a**2 - 7*a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 19 = -11. Solve -3*f - q*f = -25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u - 2*a, u + 2*a - 6 = 0. Let c = 149 + -144. Solve -c*z = -u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/((-3840)\/2304)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 72*x**4 + 524*x**3\/5 - 16*x**2\/5 - 164*x\/5 + 16\/5 = 0?\nAnswer: -1, 1\/10, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 + -2 + -6) - -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4260438*c = -4261558*c - 16800 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528029643?\nAnswer: 3, 176009881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 1\/3*z**4 + 5\/6*z**3 + 0 + 5\/2*z**2 - 1\/20*z**5 + 2*z. Suppose 21*o - 20*o - 5 = 0. What is q(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2655, 4845, 7125, 9495, 11955, 14505, 17145?\nAnswer: 19875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(34) + sqrt(102)\/sqrt(3) - sqrt(34))*4)\/sqrt(2) + -1)**2 + ((2*sqrt(119) + sqrt(119))*-3)\/(-2*sqrt(700)).\nAnswer: -151*sqrt(17)\/20 + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*o**3 - 7*o**2 + 17487*o - 19837244 wrt o.\nAnswer: 69*o**2 - 14*o + 17487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 0)*(-208)\/12. Let a(k) = -18*k + 22 - 3*k + r*k. Let w be a(-12). What is w rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -17*v**4\/4 - v + 3. Let z(i) = 50*i**3 + 4. Let a(u) = 17*f(u) + 6*z(u). Differentiate a(d) wrt d.\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 69 and 8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74089733 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 97, 145, 193?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**3 + 0*n**3 + 2*n**3)*(-5 - 1 + 3)*(-4*n + 6*n - 3*n) to the form q*n**2 + o*n + t*n**3 + a*n**4 + d and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 - -223252?\nAnswer: 223313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7687898 + 7687966.57157. Let w = -433.44953 - u. Let f = w + 502. Round f to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 - (273\/195 - (-2)\/20).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -10*n + 9*n. What is the hundreds digit of (8 + n)\/5 - -243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 751170, 1502351, 2253532, 3004713?\nAnswer: 3755894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*f - 16, 3 = 2*v - 1. Let q be (f + -13)*4\/(-10). Suppose -5*m = -16 + 1. Solve -3*p - q = m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -14. Find the second derivative of -10*k - 54*k**5 + 27*k**5 + 35*k**x wrt k.\nAnswer: 160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -96, -277, -640, -1245, -2152, -3421, -5112?\nAnswer: -7285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 830 + -372. List the prime factors of p.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -949, -64 in decreasing order.\nAnswer: 2, -64, -949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -226\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169321 or 169320?\nAnswer: 169320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 29067.383 to the nearest 100.\nAnswer: 29100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*i = 4, 3*i + 2*i - 3 = -3*p. Let g(c) = -c + 9. Let a be g(9). Suppose 3*q + 0*q - 57 = a. Solve -4*w + 7 = -x, -p = -4*x + q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7056, -14132, -21226, -28326, -35420?\n\"Answer: 2*r**3 - 21*r**2 - 7027*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00063095321 to seven decimal places.\nAnswer: -0.000631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**8\/168 - 7*p**5\/30 + 10*p**2. What is the third derivative of t(s) wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-7 + -5 - (5 - 0 - 0)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p + 1516*p**2 + 4081*p**2 + 6*p + 1737*p**2 as g + m*p**2 + q*p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/((-2)\/(-6)). Let i = 61 - 55. Sort 2, i, o in decreasing order.\nAnswer: i, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6052 and 2126436772?\nAnswer: 6052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -1251?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -11*z**6\/90 - 11*z**3\/6 - 5*z**2. Let t(k) be the first derivative of p(k). Let j(g) = 179*g - 89*g - 88*g. What is j(t(u))?\nAnswer: -88*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61779.\nAnswer: 3, 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*q**4 + 2*q**4 + 3*q**4)*(-4*q - 33*q + q).\nAnswer: 828*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71812 by -26.\nAnswer: -2762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*r - 10*r + 6*r)*(r**2 - 3*r**2 + 6*r**2)*(18*r - 6*r + 37*r) in the form j*r**3 + f*r + v*r**4 + a*r**2 + t and give v.\nAnswer: -2156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h + 2*h)*(-26*h - 20 + 20)*(-5 + 1 - 1)*(2*h + 0*h - h).\nAnswer: 260*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 2)*(11 + -3). Suppose 0 = 4*k - 2*k - z. Find the second derivative of 6*p - 2*p - 2*p**k - 3*p**4 + p**4 wrt p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 8*d**2 + 7*d + 5. Suppose -4*p = -133 - 43. Let q = 13 + p. Let f = q - 64. Determine z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 23*x - 246544. Let h(z) = -5*z. What is h(b(k))?\nAnswer: -115*k + 1232720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o - 5. Let d(g) = -3*g**3 - 6*g**2 - 3*g - 6. Let i be d(-4). Suppose -5*b = b - i. Let h(w) = -14*w - 14. What is b*k(j) - 6*h(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1101*l - 117688. Calculate w(-107).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*y + 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 3*z + 0*z)*(2 + z - 2) - 4*z**2 + 4*z - 12*z - z + 7*z**2 + 24*z**2 - 8*z**2.\nAnswer: 17*z**2 - 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 16. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 12. Determine j(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(256) - (sqrt(256) - sqrt(256)*1*3)) + sqrt(256) - sqrt(256))\/sqrt(8))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*j**2 + 17438*f + 245*j**2 with respect to j.\nAnswer: 6*f*j + 490*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 690, 1586, 2696, 4026, 5582, 7370, 9396?\n\"Answer: h**3 + 101*h**2 + 586*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 190, -0.5, 2\/9 in increasing order.\nAnswer: -2, -0.5, 2\/9, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k + 0*k**3 - 9 - 2*k + 7 + k**3.\nAnswer: (k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 11 + 1)*(u - 3*u + u) + (-5*u + 5*u + 7*u)*(-47 - 17 - 21).\nAnswer: -603*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 7*f**2 - 4*f - 6. Let l be s(6). Let y = -6 + l. Solve y = -0*q - 5*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*i - 3*i - 12, 5*i - 7 = 4*y. Solve 5*x = y*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 8*s - 9. Let l = 3 + 3. Let x = 0 - l. Let a be c(x). What is the highest common divisor of 15 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1459*x + 649*x + 129150 = -762*x for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 450*o - 125246. Give j(290).\nAnswer: 5254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591400 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 1211*g**2 + 1211*g**2 - 268*g.\nAnswer: -g**3 - 268*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Factor 0 - 1\/2*n**3 + 0*n**m + 1\/2*n.\nAnswer: -n*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228)\/(-2736)*1*12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 0*a + 29 + 17 + 14 - 2*a - 43. What is c(15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0 + 0)*(7*s + 16*s + 43*s) + 2*s**2 - 5*s**2 + 0*s**2 + s**2 + 0 + 0 + 3*s**2 - s**2 - 7*s**2 + (2*s - 2*s - 2*s)*(-3*s + 3*s + 2*s).\nAnswer: 55*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 - 20*f - 25. What is g(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 3*r + 0*r. Let w(y) = -y**3 - 7*y**2 + 2*y + 19. Let o be w(-7). Calculate s(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-4)*(-4)\/40*39\/(28665\/2156)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 451303765527797.999719 + -451303993521954. Let r = 227994051 + n. Let w = -105 - r. Round w to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35674 - 2c?\nAnswer: -356a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2299) - (sqrt(19) + 0 + -3).\nAnswer: 2 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 157, 219, 283, 349, 417, 487, 559?\n\"Answer: u**2 + 59*u + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 3. Let b = 4 - 0. Let x be 14\/(2 + 0\/b). Let g(v) = 2*v - 4*v + 0*v + x. Give -3*g(y) - 7*t(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/63, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 + 8*u**2 + 5*u. Let d(q) = 2*q**3 - 9*q**2 - 5*q + 1. Let b(c) = -3*d(c) - 4*v(c). Let m be -1*(-10)\/(-4)*-2. Is b(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 877. Let z be d(0). Suppose 30*u - z - 1613 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-26)\/(-7) + -4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 3*x**3 + x**2\/2 + x - 1. Let y be r(-2). Suppose 5*v - 106 = -3*b, -b - y = -2*b - 2*v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-1)))**(5\/6) assuming m is positive.\nAnswer: m**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q + 977 = -4*m, 0 = 4*q - 20. Let g = -528 - m. Round g to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131118 is divided by 186.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 113822.1 millilitres?\nAnswer: 113.8221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i - 1. Let z be f(-1). Suppose 2*y - 2 = y. Suppose 5*o - h = 0, -h - 2*h = -4*o. Solve -y*x + z*x - 2 = o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 13*h**2 - 23*h - 74. Calculate the remainder when b(-12) is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1928 = 3*f + f, 2*f + 4788 = 5*j. Let r = j + -556. Round r to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1761119145?\nAnswer: 3, 5, 31, 71, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (128\/(-48)*15\/5)\/(3\/(39\/(-2)))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-9))\/(-6)*(-2)\/1*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:54 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 12. Let t be (-5)\/(-20) - (-22)\/p. Let w = 2 + -6. Sort w, t, 2 in increasing order.\nAnswer: w, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 1579. Let s(v) = v. Calculate q(s(r)).\nAnswer: 2*r**2 + 1579","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-42)*60\/70*-7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286 = -533*l + 555*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(8\/(-6) - -1). Suppose -76*y + 731 = -59*y. Let v = y - n. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q + 15*q + q - 4*q as n*q + j and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 7 - 2, -3*d + 15 = -3*w. Suppose -14*t + t = d. What is the nearest to -9 in -4, t, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*-1)\/(3 + -4). Suppose 0 = k*u - 6 - 6. What is the remainder when (2\/(-4))\/((-1)\/20) is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Let o = -22234 - -22234.1. Which is the closest to o? (a) -0.4 (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14328, -14029, -13730, -13431?\n\"Answer: 299*d - 14627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-14))\/((-2)\/7))\/((-21)\/(43617\/(-124))).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.8675 litres to millilitres.\nAnswer: 79867.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3)*i)**(-36))**26 assuming i is positive.\nAnswer: i**936","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -184854\/385 and -479 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9818, -19631, -29444?\n\"Answer: -9813*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 609 - 564. Does 9 divide 554 - 9\/(i\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*y**3 - 1989*y**3 - 431*y**3.\nAnswer: -2300*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*i - 3 - 305*i - 620*i - 521*i + 588*i as t + m*i and give m.\nAnswer: -1093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 + 514 + t - 514 + 52*t**2 to the form s*t + x + n*t**3 + v*t**2 and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/10483605 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -194.2 (b) -0.09 (c) -5 (d) 0.3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3109 + 10*h - 69*h - 36*h.\nAnswer: -95*h + 3109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u - 21182 = 40868. Let v = u - -3989. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109341402 by -9637.\nAnswer: 11346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/67, -0.4, 0.5, 10.\nAnswer: -0.4, -2\/67, 0.5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**5\/60 - r**4\/3 + 35*r**3\/3 + 128*r**2. Let p be v(-13). Solve p*l - 7*l - 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 + -13 - 18) + 1 + -31.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7) + ((-19)\/(-19))\/(21\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 4169 + 3935. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 6*g**2 - g + 10. Let c be s(-6). Let t = -3 - -6. Solve -l + 3*k - t = -11, 3*l - 5*k - c = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**5\/4 - 5*b**4\/4 + 5*b**3\/3 - 8*b. Solve p(a) = 0 for a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62115 != -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 18 = p. What is the third derivative of -k**5 + 16*k**p + 18*k**5 - 2*k**5 + 3*k**5 wrt k?\nAnswer: 1080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41121454 (base 6) in base 11?\nAnswer: 734468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 - -5 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4588.\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62a7b10 - 8?\nAnswer: -62a7b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + t**2 - 1321*t + 1321*t to q*t + k*t**2 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9972\/11 + 910. Find the common denominator of -62\/9 and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81139991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10505*f**2 - 605*f - 605. Let y(v) = 52*v**2 + 3*v + 3. What is 6*t(k) + 1210*y(k)?\nAnswer: -110*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 379 = -4*v, 2*v + g + 0*g = 187. Calculate the greatest common factor of v and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 290 = 5*a, a = -3*x - 2*x + 62. Let n = -401\/7 + a. What is the closest to -1 in -1\/3, -5, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1825 divided by 1\nAnswer: 1825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46427107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 12930888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 136 = -4*t, 0 = 5*k - 6*t + 5*t - 158. Suppose -42*c + 30 = -k*c. Solve 0*u - 4*u = -2*s - 2, -u + c*s + 8 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.19 - 0.49. Let k = 31 + -31.1. What is the nearest to c in -2\/5, 6, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000101089252 to seven dps.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -0.06 (c) 0.2 (d) -3 (e) 0.43 (f) -15\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 21*v + 7. Let y be k(11). Suppose y*m + 0*m = -2574. Which is greater: -144 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 9:19 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 19 = 3*f, -q - 6 = -2. Suppose -99 = -f*y - 24. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/3)\/a)**17 assuming a is positive.\nAnswer: a**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29877, 29876, 29875, 29874, 29873, 29872?\n\"Answer: -t + 29878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87909000 rounded to the nearest 1000000?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + -1011110111010110101?\nAnswer: -1011110111010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52 + -1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2)\/z*z*z*z**(3\/11))**(-3\/2) assuming z is positive.\nAnswer: z**(-117\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10392 or -43?\nAnswer: 10392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1809)\/(-6))\/((-117117)\/676 + 171).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = -4*q + c + 217, -q - 5*c = 10. Calculate the remainder when 598 is divided by -11 + 1 + q + (-30)\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155710466?\nAnswer: 2, 107, 167, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1193757, -3 in ascending order.\nAnswer: -3, 3, 1193757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013558 rounded to seven dps?\nAnswer: -0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 7*c**3\/3 + c**2\/2 - c. Let k = -18 - -16. Let z be (-1)\/k*-2*(7 - 6). Give r(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 6*k - 15. Let v be n(10). Let a = v + 92. Let y(m) = m + 52. Let l be y(22). What is the greatest common divisor of l and a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, -172, -618, -1492, -2938, -5100, -8122?\n\"Answer: -24*i**3 + 2*i**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -18 (b) -2\/7 (c) 4\/3 (d) 14 (e) 2 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h - 22 = 129*h - 198 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*r + 9*r = 3*r - 369189. What are the prime factors of r?\nAnswer: 3, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 - ((1 - 3) + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*r**3 - 79*r**3 - 33*r**3 - 191*r**3.\nAnswer: -481*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 5*q**4\/36 - 55*q**3\/4 - 3025*q**2\/12 - 5240*q. Solve b(p) = 0 for p.\nAnswer: -11\/2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**4\/12 - a**3 + a**2\/2 - 4*a. Determine f(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58+0.092\nAnswer: -57.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4996)\/53707)\/(590\/(-215)).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*r + 15 = -0*m, -3*r + 17 = m. Suppose 0 = 3*v + 5*o - 172, 55*v - 59*v + 3*o + 297 = 0. What is the highest common factor of m and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 27*c + 40. Let x be f(17). What is the units digit of 4\/3 - (-15211)\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -512, -57, -1, -3 in ascending order.\nAnswer: -512, -57, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 3*x**3 + 717388*x + 3*x**2 - 3*x**2.\nAnswer: -3*x**3 + 2*x**2 + 717388*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 8:47 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/57 and -193\/6164550?\nAnswer: 6164550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 p when four letters picked without replacement from {x: 11, p: 9}?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.69 + 103095885.\nAnswer: 103095848.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 242981336 to the power of 1\/3, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*v**3 - 69*v**3 - 637 + 106*v**3.\nAnswer: -40*v**3 - 637","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 5*f - 18. Let c be r(-8). Let n = c + 1. Suppose -d + 54 = 4*u, -n*d + 2*d = -3*u - 155. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38882 + 38882 + 4*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f - 5 = 0. Let c(n) = -17*n**2. Let a be c(f). Let w = a + 24. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1321 + 3?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**9\/241920 - o**8\/26880 - o**7\/6720 - o**6\/2880 + o**5\/3 + 21*o**2. Let n(h) be the third derivative of m(h). Factor n(b).\nAnswer: -(b + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5454 = -386949*k + 387050*k for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/19)\/(g\/(g*g\/(g\/((g**(4\/21)\/g)\/g)))) assuming g is positive.\nAnswer: g**(-785\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15\/7 (b) 0.3 (c) 0.243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 minus 1196104031828?\nAnswer: -1196104031828.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78892889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -356460 by 5.\nAnswer: -71292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.44 - -3. Let u = -0.04 - b. Let w = -3865\/513 - -4720\/513. What is the nearest to 0 in u, 5, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(8\/8))\/(((-26)\/1170)\/1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = d - 9, 0 = -4*b + 4*d - 2*d - 12. What is the second smallest value in 1\/6, 5, b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.8 - 26.9. Let x = -8 + 6. Let p(k) = 2*k + 15. Let q be p(-6). Which is the fourth biggest value? (a) q (b) f (c) x (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610348?\nAnswer: 2, 53, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/2 in 2, -5\/6, 2\/5, -4, -24?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201 is divided by 48?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 1, 0, 22, -54 in decreasing order.\nAnswer: 22, 1, 0, -1, -8, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 173553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4574813500 rounded to the nearest one million?\nAnswer: 4575000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*-1*-3*-2)\/((sqrt(72) - (sqrt(72) + sqrt(72) + sqrt(72) + -2*(sqrt(72) - sqrt(72)*2)))\/(sqrt(27)\/(-2*sqrt(3)))).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 5. Let u(a) = 1. Let p(m) = 6*u(m) - x(m). Suppose 2*w - 3*d = -18, 4*w + 7 = -4*d - 9. Let g(i) = i**2 - 6*i + 6. Give w*p(r) + g(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11*m**3 - 6*m + 9. Let v(o) = -76*o**2 + 37*o**2 + 38*o**2 + 2*o**3 + 1. Let y(c) = k(c) - 5*v(c). Calculate y(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4647 + 236*r**3 - 3126*r**3 - 665*r**2 - 4649 + 9296 wrt r?\nAnswer: -17340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263 + 24*i**2 + 131 + 132.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, -1, -4 in decreasing order.\nAnswer: -1, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 4*k - 2*k + (-2 + 2 - k)*(0 - 1 + 2))*(-2 + 2 - k)*(90*k - 205*k - 260*k).\nAnswer: -1125*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 835*d - 749*d - 1634 = 0 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1537 and 14152.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, 0, 0, -12, -42, -96, -180, -300?\n\"Answer: -p**3 + 3*p**2 + 4*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a factor of 632700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91566 * 0.4.\nAnswer: -36626.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -21, 5 in ascending order.\nAnswer: -120, -21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 7*n**5\/4 + n**3\/3 + 77*n**2\/2 - 84*n. What is the derivative of k(z) wrt z?\nAnswer: 105*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**4 - 10*u**3 + 5*u**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -256b - 4959?\nAnswer: -71c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28*(20\/5)\/16. Let c(s) = s**2 - 2*s + 1. Let p be c(2). Solve -3*h + p = -5*n, 2*h + 3*n + t = 7*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 3:56 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10596 and 19\/13926.\nAnswer: 24593316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4874*s**3 - 2654 wrt s?\nAnswer: 14622*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6654955 smaller than 6654935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 6:50 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) -3846997\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from traut?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -16*b**2 - 3. Let t(c) = -17*c**2 - 4. Calculate 3*t(f) - 4*v(f).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34436 - -191547. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10856, -4, -2, 3.\nAnswer: -4, -2, 2, 3, 10856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**3 - 1208*k**2 + 2049*k.\nAnswer: -18*k - 2416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtcttsxtsxuc. What is prob of sequence cs?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5286, 10506, 15730, 20964, 26214, 31486, 36786, 42120?\nAnswer: 47494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21290 divided by -10645?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 13*n**2 + 14*n - 4. Let l(b) = -b + 1. Calculate the lowest common multiple of l(-5) and f(12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -192.5 - -193. What is the smallest value in y, 5, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 141489 and 47.\nAnswer: 6649983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6*(3 - -3). Suppose 40 = -n*w + 10*w. Suppose -w*r + 6 = -4*r. Solve -2*m + r = -2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iffllrldrdrdfmfrf. Give prob of picking 1 m and 2 r.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -216, 1\/3, 2.168?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + -0.37. Let u(w) = -w + 13. Let z be u(10). Suppose 5*i = -4*s + 12, -2*i = -3*i + 4. Put s, z, n in descending order.\nAnswer: z, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24, -41, -84, -165, -296, -489?\n\"Answer: -2*q**3 - q**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403042835?\nAnswer: 5, 13, 6200659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(55) - sqrt(55)*2)\/sqrt(5).\nAnswer: -sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1592996, 12743994, 43010990, 101951984, 199124976?\n\"Answer: 1593000*f**3 - f**2 + f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 4*z - 4. Let t = 2 - z. Let o(h) = 5*h + 7 - 4*h - h**2 - h**t - 3. Give o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202523?\nAnswer: 31, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20021200 (base 4) to base 3\nAnswer: 1200210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/16*(-69944)\/3747?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73200.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000031179025 rounded to seven dps?\nAnswer: -0.0000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 107948*j + 2808000.\nAnswer: -2*(j - 54000)*(j + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 8*k**2 - 19*k - 2. Let f be w(10). Suppose 0 = 51*g - 49*g + f. Is 9936\/40 + g\/10 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -5, -51, 4, -1, -17 in decreasing order.\nAnswer: 7, 4, 1, -1, -5, -17, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**7\/4620 - 7*u**6\/1980 - u**5\/66 + 4*u**4\/33 + 71*u**3\/2 - 142*u**2. Let i(s) be the first derivative of a(s). Factor i(l).\nAnswer: 2*(l - 8)*(l - 1)*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4745561 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f**5\/8 - 2045*f**4\/8 - 7287*f**3\/4 - 2671*f**2\/2 - 259*f = 0.\nAnswer: -74, -7, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-16) - 0)*-4. Let l(t) = 2*t - 10. Let f be l(y). Suppose -5*w + 0*w + 335 = f. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -868*o + 39014. Give g(45).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d = 0. Let w(c) be the third derivative of -1\/3*c**3 + 0*c - 2*c**2 + 1\/24*c**4 + d. Find the first derivative of w(y) wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eebr when four letters picked without replacement from {e: 4, b: 1, r: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 17 + 10)*(-3*a + a + 4*a)*(2 - 2 + 3).\nAnswer: 210*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 7*b**2 - 4*b - 12. Determine d(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -95, 142, -4, -3, 2\/5 in decreasing order.\nAnswer: 142, 2\/5, -0.4, -3, -4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1003413?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -181*l**3 - 50*l - 28027.\nAnswer: -543*l**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -fc0fb (base 16) in base 14?\nAnswer: -1cc37d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.027 rounded to 1 decimal place?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483759?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arxayauaa. What is prob of picking 1 r and 1 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (82 + 103 + 32)*(q - 5*q + 2*q) in the form i*q + o and give i.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 852, 1927, 3442, 5403, 7816, 10687?\nAnswer: 14022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0 + 1\/45*n**5 - 9*n - 2\/9*n**2 - 2\/27*n**3 + 1\/27*n**4. Let s(i) = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2. Let f(x) = -5*x**2 + 3*x. Let i(d) = 15*d**2 - 8*d. Suppose -2*m + 3*k - 3 = -6*m, -4*m = 4*k. Let w(p) = m*i(p) + 8*f(p). Give q(w(z)).\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + (-14)\/4. Suppose -4*j - 40 = 4*f, 5*f + 3*j + 4 = -44. Do q and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27955.88 rounded to the nearest 100?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -89, -165, -241, -317, -393?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 c, and 1 q when four letters picked without replacement from qqcggqcqgcqqqc.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98\/(-224)*-8)\/((-133)\/1140).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*j**2*s*u**2 - 42*g*j*s*u**3 - 62*g*j*u**2 - g*s*u**2 - 2*j**2*s*u - j**2*u**3 wrt u.\nAnswer: -252*g*j*s - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.65456 grams to milligrams.\nAnswer: 88654.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z**3 - 4*z**2 - 2*z - 3. Let b be w(-3). Let y = b - 185. Put 1, 3, 69, y in descending order.\nAnswer: 69, 3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 4*d = 10*h - 44, 4*d - 36 = -2*h. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 32*f**2 + 82*f - 2629. Determine i(32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 7) + (2 - 12 - 1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 = 0, 2*k = -5*h - 14 - 87. Let a = k - -38. Which is smaller: -12 or a?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4*sqrt(153) + sqrt(153)) + -2*sqrt(153)*3)\/(sqrt(144) + (sqrt(144) - 2*sqrt(144)) + (sqrt(225)\/sqrt(5))\/sqrt(5)) + 1.\nAnswer: 1 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.6, -1825, -2\/15, -98 in ascending order.\nAnswer: -1825, -98, -0.6, -2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(1\/5)\/f))*f\/f**(-18)*f*f*f*f**(-45)*f*f*f**(-9)\/f)**(-18) assuming f is positive.\nAnswer: f**(2862\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -99 - -3992?\nAnswer: 38d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(325) + -1 + sqrt(637) - -2*sqrt(26)\/(2*sqrt(2)))**2.\nAnswer: -52*sqrt(13) + 2201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.265 - 0.035. Let v be (-2)\/5 + 12\/(-70). Let h(j) = -j**3 - 5*j**2 + 5*j - 5. Let g be h(-6). What is the third smallest value in k, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*y - 1088 = 3296 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*u = 10. Let t be 26096\/35 + 4\/u. What is the tens digit of 4\/(-24) - t\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26913 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 u when four letters picked without replacement from ccxxxxxuuxcc.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 388080 divided by -5\nAnswer: -77616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/(12\/(-16)). Let s(g) be the third derivative of 5*g**v + 0*g**3 + 0 + 1\/12*g**4 + 0*g. Let d(o) = o**2. Determine s(d(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -267644822 divided by 43633\nAnswer: -6134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -103. Let q = 326 - s. Is q a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**2\/2 - 2*f + 1. Suppose 3*c + 17 = 4*c + 3*v, 0 = 5*c - 3*v - 13. What is d(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -878. Suppose -y = -i - 866. Which is smaller: -25\/4 or i?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -121. Suppose 4*l = -2*z + 72, -2*z - b = -3*l - 4*z. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-6))\/(-1))\/(2\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c + 6*c**5 - 84*c**5 + 0*c - 7*c**2 wrt c?\nAnswer: -4680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8098*r + 167300 = -2123*r for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, e: 1, s: 9, o: 5}. What is prob of picking 3 t?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*g**3 - 77*g**3 + 70*g**3 + 350*g + 353*g - 703*g.\nAnswer: 58*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*m = 7, 3*x - 8*m - 14 = -4*m. Put -1, x, 2, 5 in descending order.\nAnswer: 5, 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 2*s**3 + 2*s**2 + 8 + s**4 - 5 - 2*s in the form u*s**3 + h*s**2 + d*s**4 + r*s + a and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13794 and 9\/(((-51)\/(-15) + -3)\/((-8)\/(-10)))?\nAnswer: 41382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 3:52 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/32080 and -163\/84?\nAnswer: 673680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*r - 56, -5*r + 56 = 5*k - 3*k. What is the lowest common multiple of 112 and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmpzmmctmctmctt. Give prob of sequence mp.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -48, -2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 19 - 49 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 18 = 2*y + 5*f, 2*f = -2*y + 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*g - r - 4*r, g - 4*r = -5. Let d = -1381 + 1384. What is the third derivative of -7*v**3 + g*v**d + 12*v**6 - 8*v**2 - 8*v**3 wrt v?\nAnswer: 1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 120, -11, 3, -14, -7 in decreasing order.\nAnswer: 120, 7, 3, -7, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -29. Suppose -p = 6 - 9. Solve i - 1 = j - 4, 5*j = p*i + l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-seven halves of a microsecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 7. Let m be y(7). Let a be m\/(-1) - (-6)\/(-6). Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 12, a: 1, p: 2, t: 3}. What is prob of picking 1 a and 2 t?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 19. Let r = 33 - z. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.03 + -0.03. Let y = 0.201 + 0.199. Let x be (4\/54)\/((-3)\/(-9)). Sort r, x, y in decreasing order.\nAnswer: r, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 94664 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q*q*((q**13\/q*q)\/q)\/q*q*q)*q)\/(q**23*q)*(q*q**3*q)**12 assuming q is positive.\nAnswer: q**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**9\/3780 + p**8\/840 - p**7\/630 - p**4\/6 + 15*p. Let w(v) be the third derivative of j(v). Let w(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00624832 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1279*r + 2*r**2 - 682*r + 14*r - 1177*r as v*r + c*r**2 + h and give v.\nAnswer: -3124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/6 - 13*a**2 + 19*a + 2. What are the prime factors of r(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 3. Let d be r(6). Let b be 0*1\/9*d. Let p be 1 + (2 - 3)*b. Solve q + 11 = 2*c + p, 4*c - 28 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*h = 14, -4*h = 26*y - 30*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6405 - 436*c**2 + 12807 - 6402.\nAnswer: -436*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = 2. Let a = 585 - 770.6. Let m = 186 + a. Put m, g, -1 in increasing order.\nAnswer: g, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 369579 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/152 and -121\/114.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 1222.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 69\/21 - (-8)\/(-28). Suppose 0 = 3*a - 0*a + y - 166, -h*y - 42 = -a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*w + 100 = 0, 22 = x - 3*w + 8*w. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Let l = -7.96 - 0.04. Let i = l + 7. Which is the smallest value? (a) u (b) 0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 + 21*t**2 - 90*t + 504. Determine v(9).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 8:43 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 181*d**3 + 3*d**2 + d - 5. Let m be v(3). Suppose -w - 4486 = -h, 5*h + 2*w - 17546 = m. What is h rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26396.11617 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (5 - 4 - 4) - 2) + 17\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -a + 2*a. Let x = a - -13. Solve 0 = -4*c + x*n + 7, 1 + 8 = 3*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2. Let j(n) = n**2 + 645. What is z(j(x))?\nAnswer: 4*x**4 + 5160*x**2 + 1664100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -20.5 (b) -0.03 (c) 77 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 242 in decreasing order.\nAnswer: 242, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 760 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1548411 is divided by 64514?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -13, -2\/3, 9\/5, 0.232?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (6 - (-6 + 3)). Let z = g - 6. Calculate the smallest common multiple of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0. Let r(v) = 3*v**3 - 3*v**2 - v + 2. Let n be r(-2). Let h be 9\/(-3) + n\/(-10). Put -6, k, h in ascending order.\nAnswer: -6, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 11 = -3*d, 0*t + 2 = -2*t. Suppose -3*s + 54 = 3*p - 141, d*s = -5*p + 118. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-29)\/(p*p**(1\/27)*p*p))\/((p\/(p\/(p\/p**(24\/7)))*p*p)\/p)**(1\/11))**(-14) assuming p is positive.\nAnswer: p**(132670\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Let x = 22 - 16. Let z = -5 + x. What is the second smallest value in z, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = 0. Let r be (-208)\/(34 + -18) + 15. Solve -r*n + 7*n + 5 = s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/7))**(24\/7)*(x\/x**(-7))\/x**(-1\/6)*((x**(1\/5)*x)**(2\/59))**(-15) assuming x is positive.\nAnswer: x**(207539\/17346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 471 + -465. Solve 0 = 3*o - f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1200\/(-900) + 82\/(-6). Let u(p) = -p**2 + 2*p + 1. Let k be u(3). Let i be (k\/(-10))\/((-12)\/24)*d. Solve 9*s + i = 7*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -86. Suppose 25*i - 2065 = -v*i. Does 26 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-14)*7*(-3)\/6. Solve -3*r + 4 = 2*i - 3, 13 = 5*r + d*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 + 2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -7\/5, -95, -5, -6.2?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j - 253 = -57*j. Solve -4*g = 2*u + 10, 4*u - j = -5*g - 22 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*d + 2923 - 426 = -1468 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 297935831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 886490?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 2*s**2 - 3*s - 4. Let t(h) = -h**3 + h**2 + h + 1. Let f be (2\/(-3))\/(-9 - 159\/(-18)). Calculate f*t(u) + p(u).\nAnswer: -2*u**3 + 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 771 divide 3476587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) 2\/11 (c) 11 (d) 5 (e) -0.3 (f) 0 (g) -4387\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(4*y**4 + 3*y**4 - 6*y**4) - 2*y**4 + 2*y**4 + 7*y**4.\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 957 divided by -3\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74628959.\nAnswer: 103, 724553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 9. Let k be s(7). Let i(v) = -k*v + 3*v + 2 + 4. Suppose 3*n - 5*q + 4 = 6, -16 = -2*n - 4*q. Let o(r) = -3*r - 17. What is n*o(b) + 11*i(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2306018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -4, 1, 194 in increasing order.\nAnswer: -4, 1, 3, 4, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-18) - ((-61)\/(16348\/871) + (-10)\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2013.\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 560 + -387. Let k = 275 - n. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 192 = 68. Let n be ((-3)\/(-5))\/((-2)\/(-10)). Suppose -n*c = -t - 2. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 168*o - 4 = -169*o, 2*k = -31*o + 124 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -148076541345?\nAnswer: -148076541346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1610*z**3 - 2*z**2 + 14*z - 12. Let q be u(1). Let i = q - -2416. What is the lowest common multiple of 10 and i?\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 2:37 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4512937 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 130555 - 3311?\nAnswer: 124244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -7, -5\/3, 10?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1378 - 1330. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.434 - -20879079557?\nAnswer: 20879079556.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 157, 317, 481, 649, 821, 997, 1177?\n\"Answer: 2*b**2 + 154*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 33 = 9. Suppose j + 10 = t*j. Is 14\/9 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000718086 rounded to 7 dps?\nAnswer: -0.0007181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = -4*s + 218 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26432739*g**4 + 10828168*g?\nAnswer: 317192868*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2402 or -2390?\nAnswer: -2390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -63. Let y be 128\/(4\/2) + q\/(-6). Calculate the greatest common divisor of 594 and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 795. Suppose -5*n + 2*d + 25 = 0, -4*n + 5 = n + 2*d. Calculate the common denominator of 2\/(n - 441\/f) and 61\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -3128823?\nAnswer: 312881a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 18. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 8106898 + 5893102. Round q to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u - 216. Suppose s - 20 = -z - 7, -3*z + 2*s = -u. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = c - 5*w, -517*c + 2*w + 74 = -516*c. What is the greatest common factor of c and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*t + 29, -12*t + 10*t - 14 = 2*x. Let j be (70\/(-63))\/x*3. Factor -4 - 14\/3*b - j*b**2.\nAnswer: -2*(b + 1)*(b + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8834881 to the nearest 1000.\nAnswer: 8835000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 7:34 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 6. What is the third derivative of -3*r**2 - r**2 - 5*r**l - 3*r**5 + 5*r**2 wrt r?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (389 + -464)\/((-2*3\/55)\/2) is divided by 156?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45)\/30*(-104)\/6 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -54c46 + -b?\nAnswer: -54c51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 2. Let f be m(0). Let y(i) = f*i - 234 + 234. Let o(p) = 4*p**2. Calculate o(y(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*u**3 + 863*u**3 + 1243*u**3 - 5607.\nAnswer: 1933*u**3 - 5607","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 167249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 120440 (base 5) in base 2?\nAnswer: 1000110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**4\/12 - h**3\/2 - 2*h**2. Let n be g(4). Suppose -s + 14 = -n. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1324988 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1471, -14, 59, 0, 2 in decreasing order.\nAnswer: 59, 2, 0, -14, -1471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-34)\/(-16) + 6 + -8)*-13. Let f = 25\/8 + w. Solve -1\/2*g**2 + f*g + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -19*(-10)\/35 + 1*-5. Suppose 0 = 3*r - r + 10. Which is the nearest to -1? (a) i (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 11 - 14. Let g(t) = t**3 + 10*t**2 + 2*t + 6. Is g(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*h = 15, -2*a - h + 5 = -4*h. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303733353 divided by 119533.\nAnswer: 2541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2082*v**3 + 23*v - 2078*v**3 + 0 - 1 - 4*v to the form g*v**2 + t*v + w*v**3 + x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.1 + -12. Let t = w + -1.8. Let b = t + -5.3. Put 3\/2, 0, b in ascending order.\nAnswer: b, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (18 + 2))\/(-2). Let t(l) = 34*l - 29. Let r be t(1). Suppose -284 - u = -r*s. What are the prime factors of s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1719 is divided by 102.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ele when three letters picked without replacement from {l: 1, h: 3, e: 6, x: 5, m: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3761*u + 37602. Give i(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4700143006.22 - -40\nAnswer: 4700143046.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.491 + 2.492433. Round b to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27231 + 3*v + 26955 + 14*v**2 - 13*v**2 - 531*v**5 wrt v?\nAnswer: -10620*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -19.93. Let a = g - -1.069953. Round a to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 - 143. Suppose 4*k - 5*k + 2 = o. Is (2 + -2796)*(-1)\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*j + 5*n, 0*n - n = -2*j + 3. Suppose j = -5*r - 1 - 4. Let s(t) = t - 5. Let d be s(5). Does d = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/45*(-186)\/(-62)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 11:29 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*f + 37*f - 9 + 6*f**2 + 8 - 11*f**3 wrt f?\nAnswer: -33*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + x**3 - x**2)*(-84 - 38 + 44).\nAnswer: -78*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**3\/3 - 5711*q**2\/3 - 108836*q\/3 - 64940 = 0.\nAnswer: -17, -2, 5730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28612*k**6 + 16*k**2 + 656 wrt k.\nAnswer: 3433440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137600000 rounded to the nearest one million?\nAnswer: 138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -773 + 776. Let o(t) = 31*t + 0 + c - 3 - 7 - 4. Let f = -5 - -3. Let z(r) = -6*r + 2. Determine f*o(p) - 11*z(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 174*k - 690. Give y(4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.31 (c) -6 (d) 0.7 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 - -13 - 2610\/232*12\/(-9)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-297)\/(-423)*-7 - -7. Which is bigger: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 92*w - 463. Let i be y(5). Sort 100, i, -2.\nAnswer: i, -2, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 492, 458, 408, 348, 284?\n\"Answer: i**3 - 14*i**2 + i + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/59 (b) -12 (c) -1\/6 (d) 2 (e) 1 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.832366 rounded to 2 dps?\nAnswer: -10.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 4*r**2 + 4*r + 4. Let u be i(-6). Let b = 17 - u. Let d = -23 - b. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0542493 to three decimal places.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*-301612.\nAnswer: 6937076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 - 4*o - 1. Let y(z) = -z**3 + z + 1. Let g = 1 + 1. Let q = -22 + 23. Calculate g*y(f) + q*p(f).\nAnswer: f**3 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g = 55*g - 7920. What are the prime factors of g?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8244416*v**5 + 90582*v + 2 wrt v.\nAnswer: -164888320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o - 5. Let g be a(1). Suppose g*c = -0*c + 6. Let i be (-3)\/(-1*c\/9). Solve 3*t + i = -0*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 901208 and 10944.\nAnswer: 64886976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2835 and 41\/3150?\nAnswer: 28350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130 - -123. Suppose -2128*b + 639494 - 98982 = 0. Which is greater: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8601481843 to the power of 1\/3, to the nearest integer?\nAnswer: 2049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*c = 87, 5*c + 7 = t + 3*c. Suppose -2*y + 11 = 5*v, -v + 1 + 8 = -3*y. Calculate the highest common factor of t and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**2 + 57*k + 60. Let a be s(27). Let z = 23 + -9. Sort 5, z, a, -2 in decreasing order.\nAnswer: z, 5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/6*8\/3. Suppose k + p*k + 129 = 3*o, -5*k = 4*o - 137. Calculate the greatest common factor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 964889?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 894158?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -20*h - 3. Let d be v(-1). Let a = d - 7. Let l(u) = u**2 - 10*u + 10. What is the tens digit of l(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56744963, -113489931, -170234901, -226979873, -283724847, -340469823, -397214801?\n\"Answer: -g**2 - 56744965*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 395673 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3 + 5. Calculate the smallest common multiple of (-2)\/10 - 62\/(-10) and w\/((-8)\/(-10))*-4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 44?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdidcqiidr. What is prob of sequence iccq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 + 4*j**2 + 4*j + 2. Let n be c(-2). Let q be n\/(-63) + (-1051)\/(-9). What is the highest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g - 10. Let t(x) be the second derivative of -x**3\/6 + x**2\/2 + 6*x. Let c(h) = -i(h) - 4*t(h). What is c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + -2*sqrt(7))*-4)**2 - ((sqrt(252) + -4 + sqrt(252))*-3)**2)*5 + -5.\nAnswer: -43125 + 3360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + 0.9. Let a = w - 3.6. Let y = a + 3.85. What is y rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 488870 and 56690?\nAnswer: 2771404030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 - 102*f - 165. What is m(-32)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 20 = -5*y, 19*o - 22*o + 15 = 0. Suppose -2*j + 8 = 2. Let l be j\/(9\/(-6)) - -1. Sort 3, 1, l, y in ascending order.\nAnswer: l, 1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.37 times 0.4\nAnswer: -4.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 - -65 - -107 - (1 - 1 - 13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 4*w = 6. What is the second derivative of 28*v + 5*v**w - 10*v + 9*v**3 wrt v?\nAnswer: 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**5\/5 - n**4\/2 - 4*n**3 + 4*n**2 + 32*n - 576. What is g in s(g) = 0?\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/533, 4, -2?\nAnswer: -3\/533","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89433240 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.84 - -0.16. What is the closest to -1 in c, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -28*h. Let y(i) = -9*i - 4. Determine x(y(c)).\nAnswer: 252*c + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 65.1. Let o = j + -64. What is the third biggest value in 1\/6, o, -5, -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23795 + 23795 + 12*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let h = -1.8 - g. Let y = -8.54 + 3.54. What is the nearest to 0 in -2, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9599216g?\nAnswer: 0.0000009599216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4834?\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/51 and 107\/4114.\nAnswer: 12342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t*w**5 + 15*t*w**3 + 218*t*w**2 - 2*w**4 wrt w.\nAnswer: -120*t*w**2 + 90*t - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 432350000 to the nearest 1000000.\nAnswer: 432000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43080 and 800760?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20\/2 + (245 - 244)\/(1 - 2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1314 by -68.\nAnswer: 657\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8*t - 2. Let m(c) = 25*c + 7. Let i(h) = 4*h**3 - 26*h**2 - 9*h + 120. Let f be i(6). What is f*m(g) - 21*o(g)?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9 = -1. Put 3, w, -3 in descending order.\nAnswer: 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102001111 (base 3) in base 10?\nAnswer: 27742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*4\/((-48)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 40. Let q be ((-80)\/(-126) + 4\/r)\/1. Which is the smallest value? (a) q (b) 4 (c) 2\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/25417380 and 127\/299028.\nAnswer: 25417380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p - 1093 = -949. Let s(y) = 2*y + 15. Determine s(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*i + 16*i + 6*i**3 + 22*i**2 - 36*i as o*i**2 + l*i**3 + u*i + k and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjjz. Give prob of picking 1 z and 1 j.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1923*n*r**4 - 5*n*r**3 + 4*n*r**2 + 2*n*r - 2072*n + 6*r**4 - 3*r**2 wrt r?\nAnswer: -46152*n*r - 30*n + 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*q**2)*(-2*q + 2*q - 2*q**3) - 1090*q**3 + q**5 - 7*q + 1090*q**3.\nAnswer: 5*q**5 - 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u + 64. Let p be x(-8). Suppose 3*j = -2*j - 30. Let m = p + j. Are m and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2*-1*10. Suppose -z - 6*z + 14 = 0. Suppose -h - v = -w, 0 = -w + z*h - 6 + 16. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(4114) + 1*sqrt(4114)) + sqrt(4114) + sqrt(4114) + (6*2*sqrt(4114) - sqrt(4114)))\/((((sqrt(8) - sqrt(2))*-2 - sqrt(2)) + -5*sqrt(18))*4))**2.\nAnswer: 2057\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 23. Let g(o) = -o**3 - 4*o**2 - 3*o. Let t(l) = -l**3 - 7*l**2 - 5*l. Let j(z) = n*t(z) + 5*g(z). Find the third derivative of j(y) wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 0 - -1*(-70)\/14. Is -10*(o - (2 + -4 + 0)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = 181*z - 1451, 4*z - 3*x + 6*x + 4*x = 9*x - 58 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5539819, 5539820, 5539821, 5539822, 5539823?\n\"Answer: p + 5539818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15 + 5 - -6)\/2*-506. Let a = m - 949. Calculate the least common multiple of a and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*p - 516*p + 36 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 69\/8*4136\/1551\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 6272592.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(1 + sqrt(891)) + sqrt(891) - sqrt(891))**2 - (sqrt(891) - (3*(-2 + sqrt(891) + sqrt(891)))**2))*4*-2.\nAnswer: -264032 + 5112*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (9 - 9)) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 2*b**2)*(b - b + 2*b**3) + 237*b**5 + 2*b + 578*b**4 - 578*b**4.\nAnswer: 241*b**5 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 2 + 3 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457351 is divided by 86.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 2*k + 11. What are the prime factors of n(7)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -53.28, -0.1, -1?\nAnswer: -53.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -19. Let i = -286 + 291. Let w = k - i. What is the lowest common multiple of 9 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6336383761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -350836 + 3157525\/9. Factor -4\/3*q**2 + 0 + h*q**5 + 1\/3*q**4 - 8\/9*q - 2\/9*q**3.\nAnswer: q*(q - 2)*(q + 1)*(q + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597774 (base 11) to base 12.\nAnswer: 398231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 320*n - 46136. Give u(144).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-13)*f**(-2\/3)*f*f**16*f\/(f\/(f**(1\/6)*f))*f)**(-30) assuming f is positive.\nAnswer: f**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 19 = -11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryyy. Give prob of picking 1 r and 1 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2624.7 - 2620.7. Which is the smallest value? (a) 0.2 (b) o (c) 2\/5 (d) -2\/381\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(78)\/sqrt(150) + sqrt(13).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - 0.1. Let d = -1 + f. Let n = -13151 + 13150.8. Is n <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + 1*sqrt(700))*-2*-3)**2.\nAnswer: 57600*sqrt(7) + 417600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 + (-15 - -24) + (12 - 3 - 4)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 71 = 32*x - 158 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 3*a + 8. Suppose 19 = -2*o + 7. Calculate g(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69\/13 - -1156\/39. Suppose -f - f - 3*g + 303 = 0, 2*f + 2*g - 302 = 0. Find the common denominator of (-485)\/f + 3\/(-18) and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -859 + 878. Suppose 4*q + 32 = 2*u, -q = -0 + 3. What is the remainder when f is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 32908546007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 4643*p + 4112458. What is s(-761)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4. Let m(i) = i + 3. Let c(l) = -m(l) - u(l). Let b(a) = 3*a - 4. What is -b(o) - 5*c(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6254676569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 8. Let f = -0.74 + -0.16. Let o = 4.9 + f. Put h, 0, o in increasing order.\nAnswer: h, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/5 + (-10)\/50. Suppose 0 = -2*s - 2*s - j + 11, -2*s + 19 = v*j. Solve k = -s*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 6:52 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50969964990.1893832 - -50969936739. Let a = z - -28361.1894. Let u = 110 - a. Round u to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4 - 4815*p**3 - 43590*p**2 + 19260*p + 174312 = 0.\nAnswer: -9, -2, 2, 1614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(2\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 8*r - 4. Let c be j(7). Solve 2*z - 7 = -l, 2*z - l - 4 = -c*l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8\/h*h**(-2\/7)\/h*h**(-5\/2)\/(h*h\/(h\/(h*h**(-3\/4)))*h) assuming h is positive.\nAnswer: h**(27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4631 + 4630.991386. Let l = g + 0.0087. What is l rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16\/1043 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6118)\/42*-18 + -7?\nAnswer: 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 191*a - 2871. What is o(15)?\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2278 and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -5 - -4 - (-4 + 8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24723674*a**6 - 8660*a**2 - 2961*a.\nAnswer: -2966840880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -40. Let u(z) = 6*z**2 - z. Let r be u(h). Factor r*i**3 + 4*i + 5*i**3 + 6*i**4 + 36*i**2 + 8*i.\nAnswer: 3*i*(i + 2)**2*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 72 + 15 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381 (base 16) in base 13?\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7074\/6845?\nAnswer: 7074\/6845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 173*z - 183*z + 40 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410 and 287.\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 4*i - 5. Let n(m) = m + 3. Let p be n(-5). Let w be (1\/p)\/(2\/(-4)). Suppose w = -f + 5. What is k(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004516721 rounded to 4 decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100773 * 17.\nAnswer: 1713141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 6240053?\nAnswer: 1872015.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 < -1\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -17. Let k(m) = 13*m**3 + 7*m**2 - 7*m + 3. Let h(s) = 4*s**3 + 2*s**2 - 2*s + 1. Let d(w) = g*h(w) - 2*k(w). Calculate d(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001821961 to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 58. Let y(t) = 4*t - 3 - t - 4*t. Give y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwjwjjlwwwwwjwwww. Give prob of picking 1 j and 1 w.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2381929 and 19118?\nAnswer: 52402438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eme when three letters picked without replacement from {e: 3, m: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**5 + 2*p**5 + p**5 + (3*p**2 + p**2 - 5*p**2)*(-3*p**3 + 2*p**3 + 0*p**3).\nAnswer: -p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w + 8. Let n be l(-6). Let f = -8 - n. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220044013 (base 6) to base 5\nAnswer: 2001101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -14*c + 180. Let n be d(12). Let b be n\/(-42) + 0 + (-641)\/(-63). Which is greater: 10 or b?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from -0.08.\nAnswer: -9.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-36 - (13 + -12 + -13 + 3)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*y + 15 - 43, l + 5*y - 19 = 0. What is the first derivative of d**4 + 77 - 76 - 3*d**l wrt d?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -4*s + 20, -575*c - 3*s + 15 = -572*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2 + 5*(-2 + sqrt(891) + 1))*5)**2.\nAnswer: -557100 + 6750*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5\/9 + 3188*r**4\/3 - 95908*r**3\/9 + 105596*r**2\/3 - 38416*r = 0. Calculate r.\nAnswer: -2401, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198040 is divided by 2572?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.98 times -0.5?\nAnswer: 1.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-48))\/(-8*(-5)\/(-20)*114\/(-1520)).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, z: 1, o: 9, s: 5}. What is prob of picking 1 o and 2 s?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 90023.67 seconds?\nAnswer: 1.041940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 3*z + 30 = 0. Let f = 3 + z. What is the greatest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**4\/4 + 4*w**3\/9 - 14*w**2\/3 + 16*w\/3 + 326. Factor m(c).\nAnswer: (c - 2)*(c + 4)*(3*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*r - 247. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, 10, 22, 34?\n\"Answer: 12*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r + 1342 - 6292. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/99252 and 73\/17442?\nAnswer: 32058396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.797 - 0.8. Let z = 6.367 - p. Let i = 5.9 - z. Round i to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.6545 meters in centimeters?\nAnswer: 19365.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 202383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -547 + 546.4. Which is the closest to f? (a) 0.2 (b) -0.1 (c) 0.1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2072 not equal to -2072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)\/(s*s\/(s**9\/s)*s) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.27, -6\/11, -0.1 in decreasing order.\nAnswer: -0.1, -0.27, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q - 48. Let y be h(6). Suppose v + y = 9. Which is greater: v or 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 13 - (-7 + 4) - (-2 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/4)\/(((-17)\/2)\/(-17))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j**2 - 5*j + 5. Let f(c) be the second derivative of 11*c**4\/12 - 2*c**3\/3 + 2*c**2 + 157*c - 2. What is 5*f(d) - 4*z(d)?\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2785\/3 - 928. Which is the nearest to -5? (a) y (b) -0.1 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*u = -884 - 2041 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1969, -3940, -5911?\nAnswer: -7882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 642725.6.\nAnswer: 128545.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21219328237 + 121?\nAnswer: 21219328358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2503\/2 - 52651\/42. Find the common denominator of m and -17\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -584*k**2 + 8574 - 8574 + (3 - 3 - 2*k)*(-3*k + 2*k - k) + 3*k**2 + 0*k**2 - 2*k**2 + 5*k**2 - 4*k**2 - 2*k**2 to j + a*k**2 + o*k and give a.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*q - 6, -o = -2*o - q - 3. Which is the third biggest value? (a) 5 (b) o (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28530 divided by -30.\nAnswer: -951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5653566 to the power of 1\/2, to the nearest integer?\nAnswer: 2378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34a74 - -10?\nAnswer: -34a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-991 - -986)\/(3\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1580218 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*w - 2\/5*w**2 + 1\/5*w**3.\nAnswer: w**2*(w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z - 1. Let o(h) be the first derivative of 9\/2*h**2 - h + 5. Let y(r) = -3*o(r) + 5*p(r). Calculate y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 - 2. Let i = -35\/172 + -2\/43. What is the second biggest value in b, 1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*p - 0*p + 10*p - 276 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -8866?\nAnswer: 8867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (24\/(-6))\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-5))\/(2\/(-5)). What is the third biggest value in 1\/5, m, 0.6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 181*t. Let n(z) = z**2. Calculate n(h(i)).\nAnswer: 32761*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*q + 28 = 384. Solve r + q = 4*a + 5, 3*r + a = 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 1566*d**3 - 1573*d**3 - 672 + 0*d**2 + 666. Let g(t) = -7*t**3 - 2*t**2 - 5. What is -5*g(f) + 4*m(f)?\nAnswer: 7*f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1019*t**5 + 53*t**2 - 337*t**2 + 0 + 0 wrt t.\nAnswer: -61140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1672854299909 less than 0.1?\nAnswer: 1672854299909.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 2*g + 0*g + (-2 + g + 2)*(3 - 1 + 0))*(2 + 3 - 2)*(-g + g - 2*g).\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9 = 5*q + 5*g, 3*g = -6. Let j(w) = -w**2 + 4*w + 1. Determine j(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.1 - -776748.\nAnswer: 776727.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2918, -4358, -5798, -7238, -8678, -10118?\nAnswer: -11558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u**3 - 14*u**2 - 46*u + 76. Let p(i) = 2*i**3 + 4*i**2 + 15*i - 25. Give -2*k(o) - 7*p(o).\nAnswer: 2*o**3 - 13*o + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*s + 10, 3*s = -6*u + u. Suppose -w + 2896 - 159 = u*o, -5*o = w - 4563. List the prime factors of o.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296046327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19233 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0*y + 0*y**3 + 0 + 2*y**2 + 3\/8*y**4. Let x(g) = -g - 93 + 291 - 100 - 98. What is b(x(n))?\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2112 divide 318912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*s + 2, -3*s + 67 - 55 = 3*z. Suppose 0 = 2*p - s*w - 1372, -25*p + 21*p - 5*w + 2780 = 0. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + 19. Find the second derivative of 18*p**2 + p**2 + g*p - 51*p wrt p.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 16 = -2*n - 18*p, 4*n - 5*p = 28 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 2*r + 22 = 0, r - 16 = -2*w. Let o be (3 - 24\/w)*6. Let t = 27\/13 + -178\/117. Are t and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -m - 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 200*t**2.\nAnswer: -2*t**2*(t - 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5*w**3 + 4*w**3 + 1 as p*w + d*w**2 + q*w**3 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 1350*k - 1191. Let l(h) = -10*h**2 - 4133*h + 3576. Let r(n) = 6*l(n) + 21*x(n). Factor r(t).\nAnswer: 3*(t - 1)*(t + 1185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 12:17 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s + 14. Let y be p(-3). Let a = -34 + y. List the prime factors of (-3 - 1) + 59 - a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v + 7 = 17*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47431997 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 - 120*h + 62*h + 57*h.\nAnswer: -h - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(8\/9)\/u*u)**(11\/5))**(4\/5) assuming u is positive.\nAnswer: u**(352\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -320335, -640666, -961005, -1281352?\n\"Answer: -4*n**2 - 320319*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 3:33 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1766711 and 4689?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4034 = -4*y + 1358. Suppose -2*h - 4*s + y = 0, 5*h + 21 - 3376 = 5*s. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -52\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4354621m to kilometers.\nAnswer: 0.0004354621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + -0.2. Let g(c) = c**3 - 8*c**2 + 9*c - 2. Let h be g(6). Let f be (-3 - -2)\/(((-12)\/h)\/3). What is the second biggest value in a, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(5\/(40\/12)). Solve -q*m + 3 = -x, -4*m = -6*m + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 0 - 1 - 8*u + 3. Let f = -7 + 20. Let p be 18\/(-1*(-3)\/(-6) - (-1575)\/450). Let i(b) = 17*b - 4. Determine f*d(g) + p*i(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1118 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52068 (base 9) to base 2.\nAnswer: 1000011000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let k(y) = 3*y + 1. What is o(k(g))?\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3*m - 2*m)*(2*m - 2 + 2) + 7*m**2 + 21*m - 21*m + (1 - 1 + m)*(1 + 2*m - 1).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1\/5, 1\/1763?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - 28*g - 3. Let d be u(0). Sort d, 0.2, 2\/5, 108, 3.\nAnswer: d, 0.2, 2\/5, 3, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -44. Let g = 246 + z. Suppose -2*n = r - g, 4*r - 74 = -n + 52. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8974.57 and -45.\nAnswer: -9019.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 13. Let s be (0 - -1)*(-1 - -1). Suppose -b*i - i + 15 = s. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 63*y - 1215. What is z(19)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202 - 4. Let l = -204 - i. Factor 0*w + 0*w**l + 1\/3*w**3 + 0.\nAnswer: w**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 3*i**2 + 4*i + 4. Suppose 3*g - 6 = 6. Let p be t(g). Let q = 5 - p. Is q at most -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 132\/484 + 122468\/22 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129379.\nAnswer: 129379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 298, 300, 302, 304?\n\"Answer: 2*v + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j - 12. Let u be (-3)\/((-9)\/j - 3). Is u < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22\/77)\/((12\/(-7))\/(-2)). Suppose 2*c**4 + f*c**5 + 4*c**2 + 4\/3*c + 0 + 13\/3*c**3 = 0. What is c?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 33, 0, 0.5 in increasing order.\nAnswer: 0, 0.5, 32, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111 * -141864.\nAnswer: -15746904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 8) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 8*z. Sort 5, -5, -4, z in ascending order.\nAnswer: -5, -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 8:00 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 12*n**2 - 14*n - 8. Let z be c(-13). Suppose -z*x = -10*x + 930. Find the common denominator of x\/(-44) + -7 + 7 and 111\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d - 3*d)*(-2 - d + 2)*(-4 + 2 + 4 + (-2 + 1 - 1)*(2 + 5 - 3)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -3 (c) -9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5 + 15 = -5*k, 5*h + 4 = -k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 442640?\nAnswer: -442644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 604*v + 4*v**3 - 2 - 603*v + 1 to q*v**3 + x + p*v**2 + u*v and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1468503 is divided by 1388?\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:53 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -9\/2*i**4 + i**3 + 30*i + 51\/2*i**2 - 47. Find w, given that x(w) = 0.\nAnswer: -1, -5\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 446352 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*l - 17 = 77, 18*o + 23*l - 23 = 16*o for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 1. Let z be d(6). Let r = -36 + 20. Let b be ((-1 - r)\/3)\/1. Sort b, -1, z in decreasing order.\nAnswer: b, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34939.71 tonnes in kilograms?\nAnswer: 34939710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 4*s**2 + s + 2. Let h(t) = t**3 + t**2 - t. Let g(y) = -y**3 - 4*y**2 + y + 3. Let a be g(-4). Let q(b) = a*h(b) - l(b). Determine q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 20. Put -3, k, -1 in decreasing order.\nAnswer: -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 11760?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129\/356 + 639737\/1770388. Let f = d - -542147\/89514. Find the common denominator of f and -33\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 760 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222450302 (base 6) to base 9.\nAnswer: -28522632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80652*p**2 + 65*p - 20076297 wrt p.\nAnswer: -161304*p + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77519 and 279994.\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*x = -17 - 14, -39 = -2*n + 5*x. Suppose -3*j - y = 16, -4*j - 3*y - 11 - n = 0. What is the units digit of (15\/(-5))\/(j\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30787 - 20240. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15)*(-705)\/(-2961)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -y - 1, 0 = -2*k - 4*y + 98. What is the smallest common multiple of (1 - 0)\/((5 + -6)\/(-11)) and k?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 1365.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 345 - -401. Is f smaller than 744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f - 3. Let k be a(5). Suppose -2*c + 27 = -5*m, m - k = -2*c - 0*m. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23048834*c + 35003587 with respect to c.\nAnswer: 23048834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23435?\nAnswer: 5, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/(-120)*(-8)\/10*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*h + 5*t - 14, 0 = -4*t + 4. Which is the nearest to 8? (a) 5\/9 (b) -2\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 11:18 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = o, f + 432 = -3*o + 442 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0.08, 2 in ascending order.\nAnswer: 0.08, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 39. Let k be 20\/(12\/c) - 5. Let s be (-1)\/(-10)*((-35)\/k + -6). Put -1, 3, s, 0.1 in increasing order.\nAnswer: -1, s, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -30 (b) 73 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-33))\/((-108)\/66)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 49*s**2 - 93*s - 42. Let n be w(47). Let u be ((-2)\/5)\/(4\/n). Which is the second smallest value? (a) 3 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -112*m**2 + 4593*m - 54. Calculate w(41).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13169*p - 11 = -13170*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4218)\/(-95))\/((-4)\/2) + (91 - 69)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 369820449 to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 19*a**2 - 18*a + 117. Calculate the remainder when b(-20) is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -13 in descending order.\nAnswer: 10, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(77\/88) - 20\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from {e: 1, f: 1, s: 2, i: 2, g: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/128913 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 6*q**5\/5 + 7*q**2\/2 - 3. Find the second derivative of d(v) wrt v.\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*y - 23*y**2 - 26*y**2 + 47*y**2)*(-3*y**3 + y**3 + 0*y**3).\nAnswer: 4*y**5 + 34*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 33*n. Let w be c(5). Let y = 260 + w. Suppose -120 = -2*b - 2*b. What is the highest common factor of b and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3600 and 181\/180.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 24096 + 7525 = 5*h, 4*h - 4*i = 25252. What is the highest common factor of h and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13)*-2)**2 + -5.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*m**3 - 45*m**3 + 102*m**3 - 39*m**2 + 39*m**2.\nAnswer: 123*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -359044 + 348?\nAnswer: -358696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, n: 3, w: 11}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/9? (a) -3 (b) 2\/9 (c) 2\/5 (d) -42 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*i, -3*y + y = 5*i - 7. What is the third derivative of 16*f**2 - 3*f**4 - 15*f**2 - 1 + i wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*(-2)\/((-8)\/3). Calculate the common denominator of 27\/2 and 1 + 11\/4 + (-2)\/w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + z + 5. Let d(f) = 6*f**2 + 534*f - 22. Give d(h) + 5*k(h).\nAnswer: h**2 + 539*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 981530615 to the power of 1\/2, to the nearest integer?\nAnswer: 31329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 8*f + 81 = 0, -18*i + 14*i - 2*f = -2 + 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -5 + 2)\/(-1). Solve 29 - 4 = s*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = -4*x + 10, 5*b - 3*x = 98. Suppose 22*r = b*r + 12. Solve 23 - 3 = -r*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - -0.07. What is the smallest value in w, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19830000 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -167203.22 - -73691.\nAnswer: -93512.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5847.951389 rounded to the nearest integer?\nAnswer: -5848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 8:06 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 11:15 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - 104\/10) + 21\/40. Let j = 0.4 - -4.6. Let d = -4.03 - -0.03. What is the nearest to j in d, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 224055 divided by 9\nAnswer: 24895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1488 divided by -1488\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 + -13342102?\nAnswer: -13342143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/755669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*b**2*d**3 + 633*b**2 + 5*b*d**4 wrt d?\nAnswer: -36*b**2*d**2 + 20*b*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -194.4 times 2\nAnswer: -388.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:52 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 200 (c) 0.0303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 350 - 331. Solve -19 = 3*v - z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.42421 kilometers to nanometers.\nAnswer: 70424210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 7 + 25. Suppose 0*i = -a + i + 2, 4*a - d = -2*i. Suppose -a*f = -f + 4*r - 37, 0 = 3*r - 12. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2\/3, -87, -0.5?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 601793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -2267*q**5\/20 - q**4\/4 + 499*q**2\/2 - 1139*q. What is the third derivative of j(n) wrt n?\nAnswer: -13602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2225 and 378485405?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 2092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50946 is divided by 3918?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/60)\/((-6)\/(-12)) - (-1240332)\/60?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8259 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 49682983, 49683005, 49683065, 49683181, 49683371, 49683653, 49684045, 49684565?\n\"Answer: 3*k**3 + k**2 - 2*k + 49682981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + l. Let g be t(-2). Let h be (2 + 1)*10\/g. Let m(r) = 2*r - 1. What is m(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**5\/20 + f**4\/4 + f**3\/6 + 3*f**2\/2 + 10*f. Let q(u) = u**2 + u + 1. What is -b(c) + 3*q(c)?\nAnswer: c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -77 * -212460\nAnswer: 16359420","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**4\/120 - 11*w**3\/30 + 23*w**2\/20 + 97*w - 47. Let z(o) be the first derivative of h(o). Factor z(m).\nAnswer: -(m - 1)*(m + 23)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(2\/3))**(-8)*(h**(2\/3))**32 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5828259 kilometers to micrometers.\nAnswer: 582825900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2027330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10245 divided by -6?\nAnswer: 3415\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24664.4 times 239\nAnswer: 5894791.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1548 and 2151892?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b**4 - 3*b**4 - 9 - 4*b**4 - b**4 + 5*b - 2*b + 4*b**2 + 2*b**3 to z*b + l*b**4 + x*b**2 + j + i*b**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2041 + -311. What are the prime factors of a?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-232 + 463 - 230 + 50*q)*(-2*q + 2*q + 3*q**3) + (q**2 - 2 + 2)*(-5*q**2 + q**2 - 4*q**2).\nAnswer: 142*q**4 + 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10270\/(-237)*(-6)\/(-10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 33*b - 44. Let m be v(-31). Suppose -11*n = -m*n + 40159. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 5*k - 80. Let f = -45 + k. Sort -5, 1, f in ascending order.\nAnswer: -5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-594)\/(-12))*(-162)\/(-10)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397 = 3*c - 251. Round c to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 235309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 13 + 41 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (437 + 4*j - 137 - 200)*(-j + 4*j - j)*(3 - 4 + j + 0*j).\nAnswer: 8*j**3 + 192*j**2 - 200*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 4, 0.3, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3970*v. Let k(z) = -z**2 + 72*z. Determine h(k(f)).\nAnswer: 3970*f**2 - 285840*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 8:37 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 703, 467, 233, 1, -229?\n\"Answer: k**2 - 239*k + 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2608775 (base 9) to base 8\nAnswer: -5334433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 783836988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/14 + -1*(-21)\/2. Calculate the greatest common factor of 108 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1134 and -109\/1782?\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 + 45*l**2 - 1364*l - 30915. Calculate k(-23).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**6\/120 + f**5\/4 + 290*f**2. Factor p(v).\nAnswer: -v**2*(v - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162.954*-65\nAnswer: -10592.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 10:23 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4, 2 = -4*k - k - 3*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 151638724, 303277448, 454916172, 606554896, 758193620?\n\"Answer: 151638724*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/32 and 23.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 2*a**2 + 8*a + 6. Let p(o) = o**3 - 2*o**2 - 9*o - 6. Let u(i) = -4*p(i) - 5*q(i). Let n be u(4). Is (-1908)\/(-10) + 2\/n 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 xoooofoiooxooofxfooo. What is prob of picking 1 o and 3 f?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by 3.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 13. Let u be 2\/(-3)*15\/(-6)*66. Let h = u + v. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4.5. Let w be ((5 + -3)\/6)\/((-26)\/(-12)). What is the second smallest value in 1, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 8 - 20)*(4*d + 3*d - 5*d).\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -502882.1 times -1?\nAnswer: 502882.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, s: 7, v: 2, x: 3}. What is prob of sequence vv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 10*t**2 - 23*t + 3. What is h(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1026 and 18108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < -4\/242545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 97771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002030 (base 4) to base 13.\nAnswer: -1c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 20521*c**2 + 11*c. Let q(u) = 7*u. Determine q(o(z)).\nAnswer: 143647*z**2 + 77*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmqmmmqqmmmqmokq. What is prob of sequence kq?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1524656329 - -0.7302?\nAnswer: 0.8826656329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14\/(-6))\/(-7)*-3)\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 5*m - 2*m)*(-6 + 5 - 5) + (2 - 3 + 2)*(-m + 2*m + 0*m) - 2 + 2 + 2*m + 2*m - 3*m + 0*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/4 - 458*a - 1831\/4 = 0. What is a?\nAnswer: -1831, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 187\/165 + (-1)\/(-5). Determine d so that -p*d + 2\/3 + 2\/3*d**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:42 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seenanc. Give prob of sequence es.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1689 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -37*f - 60. Let b be x(16). Let s = -321 - b. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/20 - 2*h**2. Let i(o) = o - 10*o - 6*o - 7*o + 16*o. Determine i(j(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -78. Differentiate 84*x - 83*x - 17 - 20*x**2 - 19*x**2 - f*x**2 with respect to x.\nAnswer: -90*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 9. Let t be (-33)\/3*(4 + -7 - (-31)\/11). Sort l, t, 0, -4 in ascending order.\nAnswer: -4, 0, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 56*l + 4279. Let y be n(-99). Which is smaller: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) 0.4 (c) 9 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + 0.13. Let o = -8.994 + 9.194. What is the nearest to -0.7 in -1, o, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + -3012?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 16*h + 19. Let a be z(-7). Let y(j) = 3*j**3 - 7*j**2 + 4*j - 10. Is 24 a factor of y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 119 = 115. Let y = -4 + 10. Suppose -3*x + 20 = 2*r, 5*r - b*x = y - 2. What is the smallest common multiple of 29 and r?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300.874 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1643 and 1112497.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6\/7)*c)\/c*c*c\/c**(-1\/5))**(9\/10)*c**4*c**(-1)*c*(c\/c**0)\/c*c*c**(-1\/5)*c*c*c assuming c is positive.\nAnswer: c**(3153\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -22*g**4 + 3*g**3 + 15*g**2 + 3*g - 3. Let n(c) = -c**3 + c**2 - c + 1. Let m(b) = -2*i(b) - 6*n(b). Find the third derivative of m(w) wrt w.\nAnswer: 1056*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 2*t. Suppose t = 4*f - 6 + 2. Suppose 4*l + 3 = 3*j, -3*j + 2 = -f. Does l = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**4\/3 + p. Suppose 1 = -3*l + 28. Let r(t) = -22*t + 11*t + l*t. Calculate g(r(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (352\/77)\/(25\/28 + -1). Let g = 43 + f. Put g, 1, 0.2 in decreasing order.\nAnswer: 1, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47473401 and 15130?\nAnswer: 474734010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 14*d + 18. Calculate c(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*h - 14 = -0*w, 0 = -3*h - 21. Let o be (-16)\/28*14\/(-4). Let i be (10\/(-8))\/(o\/(-24)). Solve -5*l + 3*y = -i, -2*l - 3*y + 4 - 19 = w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/4)\/36*1106001\/9453?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 2. Let k(z) be the first derivative of -5*z**2 - 7*z - 2. Let t(a) = -2*k(a) + 7*q(a). Let r(y) = y**2. What is t(r(j))?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 - 566 + u**2 - 1590*u**3 - 548 + 1115 + 2*u - 4*u to w*u**2 + y*u**3 + z + v*u**4 + o*u and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1555 * 2\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -135.1? (a) -4.19 (b) -3 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 9*d - 13. Let n be k(6). Factor -8 + 6*a + n*a + 2*a**2 - 4*a - a.\nAnswer: 2*(a - 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + sqrt(121) + (sqrt(121) - sqrt(121)*-1*1) + sqrt(121) - (sqrt(121) - -5*(sqrt(121) - sqrt(121)*2)))\/(-6*(sqrt(1100) + sqrt(1100)*-2)*1).\nAnswer: 3*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 11280 divided by 48.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 - 6*z + 2. Let s be o(3). Let r = s - 12. What is the remainder when r is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54652 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-44)\/66)\/((-2)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187.6 - -188. What is the second biggest value in 1\/4, -1\/5, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 966*i**3 - 41833*i**2 - 86564*i - 43765 = 0. What is i?\nAnswer: -1, 43765\/966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/2 of a minute?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*z + 85666 = 148*z. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3248.591 nanometers?\nAnswer: 0.0003248591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 293?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c**2 - 22*c**2 + 44*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45214.49 weeks?\nAnswer: 27345723552000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98131*b**3*s**2*v - 11*b**3*s**2 + b*s**2 + b*s + 91186*s**2*v - 9 wrt b?\nAnswer: 588786*b*s**2*v - 66*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13, 7, -3, -17?\n\"Answer: -2*d**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/143 - 805\/(-11). Let k = 125 - c. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -9*c**4\/4 + c**3 + 7*c**2\/2 + 6*c - 33. Suppose 0 = -5*s + 13 + 87. Calculate the remainder when t(-2) is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g + 2313 = 150. Let o = g + 107. What is the smallest common multiple of 30 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000536117738 to seven decimal places.\nAnswer: 0.0005361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20784*a**2 + 1 - a + 3*a + 0 - 3.\nAnswer: -20784*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 2*c. Let l(u) = u - 3. Let n be l(5). Let y be h(n). Solve -3*v = -y*q + v - 28, 2*q - 6 = -2*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*m - 0*k + 2*k, -15 = 3*k. Let b(l) = 13*l - 5. What is the tens digit of b(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.9 in 1\/3, -2\/5, 2\/19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 15842*m**4\/9 + 155750*m**3\/9 - 4126*m**2 - 107078*m\/9 - 27380\/9 = 0?\nAnswer: -10, -37\/89, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 27*n**3 + 2*n**2 - 5*n + 9. Let v(d) = -25*d**3 - 3*d**2 + 6*d - 12. Let t(o) = -3*u(o) - 2*v(o). Let f(l) = -l + 1. Give -3*f(k) - t(k).\nAnswer: 31*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/1 - (-3747 + 30\/3). Let d = b + -2009. What are the prime factors of d?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6010.639 to zero dps.\nAnswer: -6011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k - 9. Let r(x) = 0*x - 2*x + 0 + 1. Let v be r(4). Let t be h(v). What is the highest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/33, -1, -0.5?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-12)*-2*2. Let i(c) = c**2 + 2*c - 3. Let q(m) = m + 1. Let o(y) = -i(y) - 2*q(y). What is o(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203226?\nAnswer: 2, 3, 33871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033 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: What is the common denominator of 31\/69828 and -101\/458436?\nAnswer: 10544028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 606 = -0*v. Round v to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 - (3 + -3 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - 8857676.\nAnswer: -8857666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.2. Let d = 0.2 + 1.8. Let s = 1356283\/7 + -193755. Which is the second smallest value? (a) d (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -100*r + 241*r - 111*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/5)*z)**(-1\/3)\/(z**(-2))**17*((z*z*z**3)**20)**(-39) assuming z is positive.\nAnswer: z**(-57997\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Let b be (1 + 1 + -5)\/(a\/(-2)). Suppose -5*f + b*f = -150. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((230\/(-115))\/((-5)\/(-2)))\/(((-406)\/(-5))\/(-1))?\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 20.2. Let d = 0.095 + -81.095. Let c = 75 + d. Put x, 1\/2, c in descending order.\nAnswer: 1\/2, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*m + 444, -4*m - 12 = -0. Suppose -4*b - 8 = 3*v + u, -b - 30 = 2*v. Let i = 2 - b. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.40743 + -0.29257. Which is smaller: u or 9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21507 - -21465. What is the second smallest value in m, 1.99, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -334 equal to -334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1210 and 2827.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 52 - (-185 + 183 + 19 + -5).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3. Let c(u) = u + 5. Let n(y) = 3*c(y) + 5*x(y). Let r(f) be the first derivative of -5*f**2 - 4 + 5*f**2 + f**2. What is n(r(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 9. Let j = s + -4. Suppose -3 = -j*b - u, 0 = -5*b + 4*u + 16 + 24. Solve 4*c = -2*k - 0*k - 16, -b*k = -3*c - 23 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56015, -56011, -56005, -55997, -55987, -55975, -55961?\nAnswer: -55945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 1:49 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343425 is divided by 4457?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13708104 divided by -6?\nAnswer: 2284684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 4. Let y(b) = -2*b - 3. Let m be 2 + (-4 - -3) - -1. Let d(i) = m*y(i) + 3*r(i). What is the first derivative of d(a) wrt a?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1140*v - 3442*v + 1150*v - 217*v**4 + 1136*v to b*v + a*v**4 + z + w*v**3 + u*v**2 and give a.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1730980 divided by 379.\nAnswer: -1730980\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12125 (base 8) in base 3?\nAnswer: -21010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -7*j + 972, 39*c - 92969 = 4*j - 93416 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5203 and 74691?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -516.80958 to 1 decimal place.\nAnswer: -516.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*a - 2*a. Let i be (1 - a) + (-24)\/(-8). Suppose -i*f - p + 425 = 0, -4*f + 170 = -2*f + 2*p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-4)\/520)\/((2\/(-24))\/(-1))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -10*o**4 - 132*o**3 - 2538*o**2\/5 - 2376*o\/5 - 648\/5 = 0.\nAnswer: -6, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 11*b - 1. Put -2, b, 5, 4 in descending order.\nAnswer: 5, 4, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -0.2 (b) -1\/2 (c) -0.95 (d) 2\/5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 14 = 4*n, -3*n + 7 = 4*s - 9*s. Calculate the least common multiple of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.3, -0.08842, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 19*l + 4. Let h be x(19). Find i such that h*i**2 - 5*i**3 - 3*i**4 - 3*i**2 + i + 0*i**4 - 2*i**2 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - n + 94 = -d, 0 = d - n - 14. Is ((-4668)\/d)\/(-3 - 115\/(-39)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 462.8, -3, -1\/4?\nAnswer: 462.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1785)\/210)\/(94\/10) and 9\/47.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13c + -1?\nAnswer: -13d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2181*x + 19628. What is p(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 9*n - 14. Let h be q(-8). Let r(l) = 3*l - 7. Give r(h).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2568, -0.03, -9?\nAnswer: 2568","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-892 - (-2 - (1 + -6))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Let y = -321 - -322. Let v = 53 + -264\/5. Which is the closest to v? (a) g (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 - 40*d - 153. Let s be t(-6). Solve 5 = 14*w - s*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + 3*v**5 - 5*v**5 + (-28*v**4 - 365 + 365)*(0*v + 0*v - 2*v).\nAnswer: 52*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102\/24 + 11\/(-44) and (-39)\/(-6) - 3\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 935 or 937?\nAnswer: 935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -392 + 359. Let d = i + 32. Let t = -7 - 0. What is the nearest to 0.1 in t, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 7. Let b be (-2)\/(1 - (-5)\/(-3)). Suppose 9 = 3*k + b. Solve -2*w = -3*c, 0 = w + k + l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 17 - (420 + -405). Put -10, -4, j, 123 in descending order.\nAnswer: 123, j, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/30)\/(((-2)\/(-125))\/((-4)\/78*-39))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*3\/3 + 34. Let v be (12\/(-8))\/((-24)\/b). Determine d, given that 4*d + 5*d + 10 - v*d**2 + 4*d - 5*d = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 5*h**2 - 6*h - 9. Let z be y(-6). Let s = z + 13. Solve 5*d = -s + 19 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*16\/(-1). Let i(v) = -4*v**3 + 2*v**3 + w*v**3 + 1. Is i(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/(8\/280)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 7 + u - 2*u)*((0 + 2 - 1)*(-2 - 1 + 4) + 0 - 10 + 1) in the form x*u + s and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, f: 4, h: 2}. What is prob of sequence hff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 1:53 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + -2830973?\nAnswer: -2830964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 8, -0.1, -1\/39, -7, 12, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14886936*h**4\/17 + 5537214*h**3\/17 + 527670*h**2\/17 + 19450*h\/17 + 250\/17.\nAnswer: 2*(4*h + 1)*(123*h + 5)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 191628 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-96)\/720 + (-11)\/(-45))*12. Which is the fourth biggest value? (a) s (b) 4 (c) 0.5 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41274805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/240)\/((-4)\/10)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 0.13. What is the third smallest value in 3, y, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 1. Let o(c) = 3*c + 10. What is o(u) - 6*p(u)?\nAnswer: -3*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84494.\nAnswer: 2, 83, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2 - 19*s - 6. Give g(-5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9594, 1121 in decreasing order.\nAnswer: 9594, 1121, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -215952 (base 10) to base 7\nAnswer: -1556412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -5. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**1*p)\/((p\/(p\/(p\/(p**13\/p*p)*p)))\/p)*p\/p**(-1\/11)*p**(1\/19)\/p assuming p is positive.\nAnswer: p**(2747\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 5. Let t be r(10). Calculate the greatest common factor of 30 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4152*k = 1924*k - 12284*k - 8169*k - 546326 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1013093 = 114*j + 57183 - 295126. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81746647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*z + 23, -69 = 4*f - 4*z - 25. Let h(c) = -c**2 - 9*c - 3. Let v be h(f). Suppose -39 = -v*i - 14. Solve i*l - 1 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 16 = o - 2, o - 11 = -2*m. Suppose m*b = -4*s + 41, -s + 17 = 2*b - 0*s. Which is bigger: 23\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**3 + 102*b**2 + 69*b + 8. Let p be f(-33). Is p at most 998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:33 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10 < 20731492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 8*k**2 - 42*k + 5. Determine u(-12).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -987*l**2 - 990*l**2 + 892*l**2 + 1085*l**2 + 16*l**3.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 27885561+-800\nAnswer: 27884761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 46 + 0 - 62 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*r**2 + 6*g**2*r + 129*g**2 - 2*r**2 - 1130*r - 340 with respect to r.\nAnswer: 4*g**2*r + 6*g**2 - 4*r - 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1074 + -1075. Suppose -5*m + 3*m = 4. Which is the nearest to n? (a) -3 (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95873 divided by 10?\nAnswer: 95873\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 145 = -0*s + 5*s, -4*p - 110 = 5*s. Let l be (-128)\/(-13) - 4\/s. Let g be -3 + 1\/(-3)*-33. Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -4, 663, -2 in increasing order.\nAnswer: -39, -4, -2, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-226)\/(-23391)*138)\/(12\/891)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601*a - 615*a + 154 = 0. Solve 0 = -16*t + a*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -2.5. Let s = t - -1.4. Let y = 18 + -15. Which is the nearest to 0.1? (a) s (b) y (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011011011 (base 2) to base 15\nAnswer: -7c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -7, -0.5, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 6*x**2 + 7*x + 1. Let c be g(-7). Is c\/(-2)*(-2 + -60) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/18 and 5 + 2 - (-34314)\/(-4725).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -188\/119175 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i\/(i\/(i*(i**(1\/37)*i)\/i)*i))\/i))\/(i\/(i\/(i**(1\/4)\/i))))\/((i\/i**(-1\/11))\/(((i\/(i**(-2\/3)*i))\/i)\/i)))**(1\/36) assuming i is positive.\nAnswer: i**(1459\/175824)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5860 - 4724. Is y equal to 1136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 823 + -697. Is -2 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1. Suppose -2*p = -5*c - 55 + 30, -2*c + 14 = 4*p. Let j(q) = -20*q - 8. Calculate p*m(i) + j(i).\nAnswer: -20*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 127, 120, 111, 100?\n\"Answer: -p**2 - 4*p + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2 - 432*l - 14350 = 0.\nAnswer: -175, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -595 > -592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -266*r + 525*r - 23 - 261*r + (-5*r + 3*r + 4*r)*(5 - 1 - 2) + r - 2*r + 3*r in the form t*r + y and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -4.2. Let h = -6 - w. Let k = -506\/7 + 72. Sort k, h, 5 in ascending order.\nAnswer: k, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1067\/18 - 119\/2. Let n = 0 - 0.3. Let b = -66 + 66.1. Put b, -1\/2, n, i in decreasing order.\nAnswer: b, i, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 105612 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 765224018 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 19663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + -0.1. Let m = 43 + -77. Let t = m - -34.2. Put v, t, -3 in decreasing order.\nAnswer: t, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3265114.2 to the nearest ten thousand.\nAnswer: -3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w**3 - 24*w**2 + 56*w + 23. What are the prime factors of a(-13)?\nAnswer: 2, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -269. List the prime factors of q.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5*f + 3*f + 1)*(4*f**2 + 3*f**2 - 3*f**2).\nAnswer: -8*f**3 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*o = 15, -b = b + o - 13. Let f(w) = w**3 + 7*w**2 + 9*w + 11. Calculate the lowest common multiple of b and f(-5).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (-2*sqrt(500) + 1 + sqrt(500)) - (sqrt(20) + sqrt(20) + -1 + 2 + -3))**2 + 5.\nAnswer: 32*sqrt(5) + 1286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179521121, -179521120, -179521119, -179521118, -179521117?\nAnswer: -179521116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.952949ns in days?\nAnswer: 0.0000000000001962146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.8 + 3.7. Let s = 7 - v. Let p = -22960 + 22964. What is the fourth smallest value in s, -9, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/86785667 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2431)\/(-5) - 12\/(-15). Suppose -q = -6*i + 5*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2453\/5 + 491. Is -2\/67 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(10*z + 21 - 21)*(1076 - 938 + z**3 + 1725 + 1914).\nAnswer: -20*z**4 - 75540*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9) - 7\/((-735)\/(-25)). Sort a, 279, 2\/3.\nAnswer: a, 2\/3, 279","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*12\/80*(-9375)\/(-6750)*36.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26714 and 190.\nAnswer: 133570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1253 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13553 (base 8) to base 16\nAnswer: -176b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 7*o**2 + 2*o - 12. Calculate h(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 46 = o. Suppose -5*k + o = -79. What is the units digit of k\/6 + (-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/236336 and 3\/2048.\nAnswer: 30251008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 15*o**2 + 4*o**2 - 4*o**3. Let n be 36\/(-14) - 8\/(-14). Let p(s) = -s**3 - 2*s**2. Determine n*c(l) + 11*p(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 1, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10120 - 2022000001000?\nAnswer: -2022000011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 + 63. Let s be 18\/12 - l\/10. Suppose 3*b - 7721 = -s*j, 2*b = -5*j + 3*j + 3090. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -1362991?\nAnswer: -26\/1362991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 956*f = -958*f + 4, h + 4*f + 37 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11634439 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11251 divided by -11251.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - -1*sqrt(99)*5)*-4*4)\/(sqrt(900)*-4 + sqrt(729)*-1).\nAnswer: 96*sqrt(11)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7586*b - 15157. Give v(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -520235 + -280?\nAnswer: -520525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*3*(-3)\/(-24). Let y be (23\/(4 + 65))\/((-55)\/(-15) - 2). What is the smallest value in 0, y, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + k**2 + k**2 + 3*k. Let l(p) = 4*p**2 + 2*p. Give 3*l(t) - 2*o(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -45.39, -30, 5, 5\/2 in increasing order.\nAnswer: -45.39, -30, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 + 3.2. What is the third smallest value in l, -4, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 4*q + 10. Determine s(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7763 and 462453.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125 (base 6) to base 9.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 (base 12) in base 9?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-185)\/(-3)*(18 + (6 - 9)).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6793373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(1008) + -1)*5*5.\nAnswer: -50 + 600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-3) - -4)\/(-9 + 10). Let m(i) = 10*i**2 - 3*i + 2. What is m(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83020000 to the nearest 1000000.\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/2055 + -24433\/2740. What is the common denominator of n and 46 + (-1)\/(-2)*-1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 1. Let v be i(3). Let h(l) = -6*l - 3*l**2 + 21 + 3*l**2 - l**2 - 27. What is the units digit of h(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 r when four letters picked without replacement from {n: 1, r: 2, h: 8, o: 4, d: 1}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + b + 14 = 0, 7*d - b - 15 = 10*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971*p - 120 = 981*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlrm when four letters picked without replacement from rmmpmmgmlrmgmpm?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8*w. Let f(l) = 290*l - 3*l**2 - 290*l. Give y(f(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((11 - 5) + -7 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 294276203 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 3. Let d be f(-2). Suppose 0 = 3*y + 2*o - 2, 6*o + 37 = d*y + o. Let t = 8 - y. Solve 3*i - 1 = 4*l - 12, -4*l = -t*i - 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.921511362 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -43792 divided by -1?\nAnswer: 43792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, l: 2}. What is prob of sequence ooll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 + 3 - 88*n**2 - 3 - 3247*n + 89*n**2 + 3255*n to w*n**3 + z*n + h + k*n**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.77087mg to grams.\nAnswer: 0.06677087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 25, 2\/5, 0.3.\nAnswer: -4, 0.3, 2\/5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -287182775.\nAnswer: -1148731100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*x = 21, -159*i + 47 = -164*i + 4*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(128)*-1*-3 + sqrt(128))**2 - (1 + (sqrt(96) - 1*sqrt(96))\/sqrt(12)).\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-38)*4\/(-8)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - g**2 + 2*g - 4. Determine d(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - r - 537, 1084 = 2*l - 5*r + 10. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4607, 9220, 13833, 18446, 23059, 27672?\n\"Answer: 4613*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 11:25 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -4. Let d(r) = -2*r + 9*r - 7*r - r + 14. Let k be d(12). Which is the nearest to 2\/9? (a) o (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 3*g**2 + 20*g - 29 - g**3 + 13*g**2. List the prime factors of x(12).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - d + 3*d - 7*d + 2*d + 3*d + (-1 + 0 + 2)*(-2*d - 2*d + 3*d) - d - d + 0*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d + d + 61*d + 30*d.\nAnswer: 111*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*b**2 - 11*b**2 - 29 + 2 in the form f*b**2 + y*b + i and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 14*d**2 + 16*d + 55. Let p be t(-13). Calculate the highest common factor of 432 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 804 = 4*f, -2*i - 201 = f - 6*i. Let p be 4\/10 - f\/(-15). Let w = p + 26. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -49. What is the fourth biggest value in q, -1, -8, -2\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 113*x = 112*x + 3, 11*x = -3*n + 20*x + 36 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*u - u + 64, 0 = 4*w - 4*u - 24. Which is smaller: w or 12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/7, -1, 2\/9, 0.18, 2\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/4)*(b**(-20)\/b)\/b*b*b assuming b is positive.\nAnswer: b**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 425. Let u(m) = m**3 + 15*m**2 - 101*m - 16. Let r be u(-20). Suppose -53 = r*s - y. Solve 0 = 2*h + 2 + s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 2*j - 6. Let q = 309 + -495. Let f be (5\/(-3))\/(155\/q). Let n be y(f). Solve 2*k + 2*l = l - 6, -n*k - 4*l = 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10240 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33723 is divided by 33703.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 3*k - 20. Suppose -4 = -0*a - a. Suppose w = a*w - 60. Calculate the lowest common multiple of w and y(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 839*t + 1797 + 36423 = -253*t for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(9) + sqrt(144))\/sqrt(3)) - ((0 + sqrt(72))*-3)**2.\nAnswer: -648 + 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-4)\/8)\/((-225)\/((-10)\/2)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from kbhbxh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178350 and 2153250.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3620*r - 25347. Calculate g(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -23 (b) 6 (c) 0.06 (d) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from vmmvmmmmmmmmm?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -33*i + 80. Let f be y(3). List the prime factors of (4 + -3)\/(f\/(-11134)).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4937422 divided by 705346\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9544 is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + sqrt(448))*6 + -3 + 2*sqrt(448) + -3 + (sqrt(448) - (sqrt(448) - -1*sqrt(448)*-1)**2 - sqrt(448) - sqrt(448)).\nAnswer: -21 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4418 and 13301.\nAnswer: 1250294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (10 - 3 - (0 - 0))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 = 0, -7*i + 11*i = x + 22. Let p(j) = j**2 - 7*j - 22. Let y be p(10). Solve -2*t + 4*a - y = 0, 4*a - 4 = -i*t + 2*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -12*k + 26. Let i be j(2). Suppose -3*c + 2*b + 20 = 0, 0 = 4*c + 6*b - 3*b - 38. Solve -z - i*z = -f + 6, z = -3*f + c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -2.4\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 540488914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g - 496 = 16*g + 5*g - 28*g for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 10) + 16 + 1 + (-9 - -14) + -88.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -0.8 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 + 79. Suppose -4 = c*h - 7*h. Find the third derivative of -3*a**4 - 12*a**4 + 9*a**2 - 10*a**h - 30*a**2 wrt a.\nAnswer: -360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = -0. Let s be u\/2 - (-21)\/30. Solve -1\/5*m**2 - 1\/5*m + 1\/5 + s*m**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 19, -3, 151, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 21. Let k(s) = -s - 2. Let y be k(-6). Solve -x*u + 0 = y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - h = -0*y + 683, -5*h - 508 = -3*y. Let n = -157539 - -157561. What is the remainder when y is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + a = 14287, 5*r + 14*a - 11*a - 35715 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.218951 and -0.02?\nAnswer: -0.00437902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12691127 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32702772, 261622139, 882974710, 2092977087, 4087845872, 7063797667, 11217049074, 16743816695?\nAnswer: 23840317132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + 1)\/(3\/2 - -1). Solve 3 = y - q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -583454934, -1166909867, -1750364800, -2333819733, -2917274666?\nAnswer: -3500729599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 6 = 5*m. Suppose -2*o = -q + m, 0 = -2*q + o - 8 + 1. Let t = q + 35. Calculate the remainder when 141 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10600, -10598, -10596, -10594, -10592, -10590?\n\"Answer: 2*h - 10602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22252576 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 + -1120?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.72917 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342541 (base 13) to base 2.\nAnswer: 100101101001000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174000 divided by 3480.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123 + -119. Calculate the remainder when k\/(-30)*-633 - 2\/5 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((69\/36*4)\/(-1))\/1*-3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, f: 2, l: 1, b: 4, a: 7}. What is prob of picking 1 f and 1 b?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -131 - 157. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -688, -1418, -2240, -3184, -4280, -5558, -7048, -8780?\nAnswer: -10784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 25961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -788 + 738. Suppose 110 = d + d. Let h = o + d. Solve 0 = z + h - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:44 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**3. Let q = -12469 - -12435. Let x(o) = -2*o**2 + 2*o**2 - o**3. Calculate q*x(j) - 6*r(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.23 + 0.14. Let l = 3\/335 + 83\/5695. Let c = l - -77\/340. Is c != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38338*t**2 + 2*t - 57573*t**2 - 2*t - 13.\nAnswer: -95911*t**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + h. Let m(v) = -15*v**3 + 4306*v. Determine -m(k) + 14*q(k).\nAnswer: k**3 - 4292*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(14\/3)*a\/a**(-21)*a**(5\/13)*a\/a**(2\/33))**(-23) assuming a is positive.\nAnswer: a**(-286051\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000748418644 to 6 decimal places.\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 3*h + h)*(3*h - 4*h - h) + 27*h**2 - 3*h**2 - 4*h**2 to i*h + f*h**2 + g and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 33*l**3 + 1. Let h(b) = -b**2. Let g(j) = -2*h(j) - x(j). Suppose z = -z - 2. Is g(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxg when three letters picked without replacement from xbbgxjx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37851 + -22775. What are the prime factors of a?\nAnswer: 2, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -7. Let c be (-5 - s) + 26\/22. Let h = 126 - 129. Which is smaller: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 9. Let p be i(10). Let t be 3 + 4\/p + 1. Suppose t*o - 763 = -3*x - 4*o, 4*x + 2*o = 1024. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 15, 2*f + a = -f - 3. Suppose 2*i + f - 2 = 0, 2*q = 4*i + 48. What is the greatest common divisor of 104 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/1 - -3 - (35 + -32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -x + 2*x - 266, 834 = 3*x + 3*d. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 - 14)*(-m + 0 + 0)*(-19 - 12 + 6)*(4 + 8 - 19).\nAnswer: 700*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/13104 and 107\/312.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*b**2 + 10 - 8 + 9*b**2)*(0*b**2 + 2*b**2 - b**2) to the form a*b**2 + m*b**3 + c + u*b + n*b**4 and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v + 32*v + 6 = 0. Let s(l) = 3*l**3 - l**2 - 1 + l**2. Give s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 485 in -2\/213, -1\/5, 3, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 796063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + 5*h)*(561 - 953 + 2989 + 1128).\nAnswer: 7450*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -74\/9908477 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 668\/1440 - 34\/153 and 49\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3132.66 and 4?\nAnswer: -12530.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -11) + (-9)\/3. Solve 0 = z*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 2. Let t be d(-17). Suppose 0 = 14*k - t*k + 25. Suppose z - 34 = k*u, 2*u - 15 = 5*u. Solve z = 2*c - l, -3*l = c + 4*c - 17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/((-140)\/(-14))*(-140)\/10.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 309.\nAnswer: -4\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(50) + sqrt(200)\/sqrt(4))\/sqrt(10))**2 - sqrt(5)) + sqrt(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-13) - ((-441)\/189 - (-163)\/39). Let q = -0.2 - -1.2. Let y be (3\/(-4))\/(3\/(-2)). Which is the nearest to q? (a) y (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 5895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x + 405. Calculate the remainder when x is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -479, 15, 2 in ascending order.\nAnswer: -479, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-7 - 162\/(-24)). Suppose -k = -4*l + 11, -3*l + 4*k = l - 20. Let o be (-5 - 1)*(-1)\/l. Solve -o*d - d = f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*h + 35*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + 10*p**2 - 10*p**2 + 2*p**2 - 29*p - p**4 in the form v*p**4 + d*p**3 + g + l*p + q*p**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27265217 (base 8) to base 16.\nAnswer: 5d6a8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 61*p**2 - 145*p - 98. Let i be y(64). Is 2910 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1792 and 2353344.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -10. Let d(i) = -i**2 + 9*i - 14. Let f be d(n). Find y, given that 2\/7*y**3 + 0 + 2\/7*y**f + 0*y + 0*y**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 3*z**2 - 8*z - 4. Let g be l(5). Suppose g*k - 14 = -k. Solve k + 2 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1255 - 0.0255. What is the closest to m in -4, -1.505, -2?\nAnswer: -1.505","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1817999 is divided by 750.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-20))\/(18\/(-20)). Put 0.5, r, 4 in descending order.\nAnswer: 4, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1)*(-3 + 3). Let d be (1 + h)\/((-4)\/(-44)). Calculate the highest common factor of 121 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45815507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.45 - 22.85. Let p be (-6)\/((-5)\/((-15)\/(-6))). Let z be 0 - (p + 7\/(-3)). What is the fourth biggest value in -3\/7, 5, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*o + 15. Suppose -b = -p + 3, -o*p = 2*p - b - 35. Calculate the remainder when 21 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 1. Let x(l) = 6*l**2 - 13*l + 11. Let k(i) = -4*n(i) + x(i). Is k(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43035 divided by -8607.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z = -45*z. Solve -2*k + 2 = 3*x - z, -2*x + k = 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g + 48. Suppose 7*c = g*c - 2015. Suppose -5*u + c - 103 = 0. Calculate the greatest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**3 + k - 4. Let f(a) = -5*a**3 + a - 5. Let q(y) = -6*b(y) + 5*f(y). Let z(h) = 4*h**3 + 2*h + 4. Give -2*q(s) - z(s).\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(891) - sqrt(891))**2 + 5 + (1*sqrt(891) + -1 + ((sqrt(891)*2 - sqrt(891)) + sqrt(891) - sqrt(891))*1)**2.\nAnswer: -36*sqrt(11) + 7134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26197 is divided by 244.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {r: 1, q: 1, v: 3, b: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3981*d = -4310*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -278 - -280. What is the second derivative of 3*x**3 + 21*x**s - 52*x - 4*x**2 + 40 + 54*x wrt x?\nAnswer: 18*x + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61872 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1809 and 402?\nAnswer: 3618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 5*v - 0*v + 4*l, -5*l + 5 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 5 (c) 60181 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 12:17 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, -1\/12963, -2\/11 in decreasing order.\nAnswer: 4, -1\/12963, -2\/11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*j**3*q**2*w**3 + 2*j**3*q*w - j**2*w**3 - 4*j**2*w**2 - 13*j*q**2*w**3 + 15*j*q*w wrt q?\nAnswer: -14*j**3*w**3 - 26*j*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3353347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2269945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - 2 = -2*u, 3*u + 5*g - 2 = 0. Suppose -7 = -5*a + u*a. Let v = -7 + a. Solve z - 3*m + 10 = v, m - 4 = 2*z - m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52000829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 7*o - 12. Let n be u(10). Is 87*(-2)\/(n\/(-21)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p**2 - 18*p + 26. Let s(z) be the first derivative of -4*z**3\/3 + 4*z**2 - 13*z + 62. Let q(g) = 5*s(g) + 3*u(g). Determine q(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-780)\/(-15600)*6\/(-9).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24332 + 12154 + 12163 + 166*o)*(-o**4 + 3*o**4 + 0*o**4).\nAnswer: 332*o**5 - 30*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 9*v + 9. Is c(-9) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1476 - 1463. Solve -9*d + o*d = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 2*p - p + (61 + 159 - 34)*(2*p + 0*p + p).\nAnswer: 554*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, 0, 0.11, 25, -4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1225044838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -36*g**3 - 2*g**2 - g + 1. Let p be q(-1). Let k = p + -34. Differentiate 3*w**2 + 9*w**4 + 2*w**4 - 3*w**k - 6 with respect to w.\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 165. What are the prime factors of x?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(77) - 2*sqrt(77))*2 - sqrt(77) - sqrt(77) - (sqrt(77) + (-3*1*sqrt(77) + sqrt(77) - sqrt(77))))\/(sqrt(1331)*-1*-6))**2.\nAnswer: -4349\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -19*f**2 + 5*f + 5. Let i(l) = 210*l**2 - 56*l - 56. Determine -5*i(r) - 56*o(r).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3696)\/693)\/(416\/(-2379)).\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -266\/49417?\nAnswer: -266\/49417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**4 - 5*y**3 + 80*y**2 + 80*y = 0.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -1140, -1706?\nAnswer: -2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -38. Suppose v*t - m - 3*m = 20, -18 = -4*t + 3*m. Find the second derivative of t*u**4 + 3*u**4 + 9*u**2 - 10*u - 9*u**2 wrt u.\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23639000 rounded to the nearest one hundred thousand?\nAnswer: -23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k - 3. Let u(x) = 8*x + 10. Let d(o) = -4*u(o) - 11*w(o). Let m = -7 - -14. Let l be d(m). Solve l = 2*n + 5*b + 4, -n + 4*b + 0 = 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42255 divided by 8451?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4816317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3638162 to the power of 1\/2, to the nearest integer?\nAnswer: 1907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a7 + 51689?\nAnswer: 51785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504112511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 2016774550.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -0.02 (c) 1317\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 0.1, 1\/3 in ascending order.\nAnswer: -5, 0.1, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59346 and 143888616?\nAnswer: 8478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*y + 11. Suppose -5*v = -y*r - 25 - 36, -r = 2*v - 28. Suppose 91 = f - 0*f. Calculate the highest common divisor of f and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 12:16 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 4*m**2 - 5*m + 4. Let v be h(5). Let q be (-250)\/(-715) + (-41)\/533. Which is the smallest value? (a) q (b) 1 (c) -0.5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1280) + sqrt(20))\/sqrt(4)*4)**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 2*z + 5. Let n be u(5). Is (-495)\/n*(-2)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -7. Let w be 5*(2 - a\/(-5)). List the prime factors of (-18)\/(-2 - w\/(-3)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13164, -13167, -13168, -13167, -13164, -13159, -13152?\n\"Answer: o**2 - 6*o - 13159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*s**3\/17 - 3646*s**2 - 168352*s\/17 + 53160\/17 = 0. What is s?\nAnswer: -3, 2\/7, 4430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -3.1029.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.6 - -10. Let h = -1.3 - -1.37. Which is the smallest value? (a) 2\/3 (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 11:35 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 4*h + 1. Let t be 3\/(-9)*18\/2. Give b(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16665057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(952\/308)*2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 2. Let r(l) = -5*l + 10. Let t(h) = 11*k(h) + 2*r(h). Suppose 16*o + 30 = 26*o. Let b(p) = -29*p + 92. Let z be b(o). Calculate t(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {c: 1, p: 1, j: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 9:35 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -1b4c?\nAnswer: -1b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*p - 4*u - 5238 = -63*p, -4*p = -2*u - 21022. What are the prime factors of p?\nAnswer: 2, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**4\/12 - f**2. Let c(d) = -8*d**2. Calculate c(k(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 22 + 2*a**4 - 9 + a**2 - 7*a**2 - a**4. Find the second derivative of o(m) wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) 0.474 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/77? (a) -5 (b) 22 (c) -0.5 (d) -2 (e) -100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (109\/(-7) + 3)*3339\/(-5724)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 2. Let y be a(-2). What is the biggest value in 0.03, y, 0.4, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1972605l to millilitres.\nAnswer: 197.2605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 947710*q**2 - 1895405*q - 947700.\nAnswer: -5*(q + 1)**2*(q + 189540)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -3*j - 2*j. Let m = -26 - j. Suppose -4 = 4*r - 0*t - t, 0 = r - 4*t + 16. Sort 1, r, m in descending order.\nAnswer: 1, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17\/5, 128, -8.9, 2\/15, -4, 5, 3\/4?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/3570 and -67\/18870.\nAnswer: 132090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-20)\/(z\/(z*z*z\/z**(-24)*z)))**17 assuming z is positive.\nAnswer: z**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*r + 22. Suppose r*x = 1 + 11. Which is the smallest value? (a) x (b) 5\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 8. Let d(t) = t**3 - 22*t**2 - 46*t - 42. Let s be d(24). Is (-3)\/z*388\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a + -19?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x + 2. Suppose -5*j - 2*s + 35 = 0, -4*s + 35 = 3*j - 0*j. Is h(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 928 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(0*q + 3*q + q)*(61 + 102 + 446)*(3*q - q + 0*q).\nAnswer: -4872*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -64140 divided by -12?\nAnswer: 5345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 3:30 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 901473807 to the power of 1\/3, to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -4*y**5\/5 - 5*y**4 + 4*y**3\/3 + 10*y**2 + 5. What is o in x(o) = 0?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35337 <= 35418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 26.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.1 + -7.6. Sort -5, y, 0 in descending order.\nAnswer: 0, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - c**2 + c. Suppose -2*p - 93*s = -91*s + 12, -s = -p - 14. Let g(n) = -6*n**3 - 8*n**2 + 12*n. Determine p*v(j) + g(j).\nAnswer: 4*j**3 + 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3154*n + 2 - 3184*n + 0 - 2. Let k(m) = -7*m. Calculate k(j(u)).\nAnswer: 210*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19632 + 7263 = -1793*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 105 = 5*f, -p + 21 = -f - 35. Suppose 0 = 6*s + p + 5. Let a be ((-1)\/(s + 1))\/4. Put -4, 0.4, a in increasing order.\nAnswer: -4, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.11 + -1.89. Which is smaller: -3\/8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*a**4 - 5*a**3 + 4*a**2 - 49290*a?\nAnswer: 360*a**2 - 30*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1667 + 1669 + 13*z**2 - 3336.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31768 divided by 7942\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -167? (a) 2 (b) 4\/9 (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 69*d**3 - 13*d**2 + 17. Let v(z) = -34*z**3 + 6*z**2 - 8. Determine -6*j(m) - 13*v(m).\nAnswer: 28*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - 1*sqrt(66) - sqrt(66))*1 - sqrt(66))\/(sqrt(6) + sqrt(24)*5).\nAnswer: -2*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -3.9. Let f = u - 3.7. Which is the nearest to 1\/3? (a) 2\/7 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-1170.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, k: 5, r: 1, n: 1}. Give prob of picking 4 k.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((1 - 1) + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - 3*d)*(-3 + 1 + 4) + 6*d - 2*d + 0*d + 4*d - d + 0*d + (4*d + 3*d - 5*d)*(0 - 4 + 2) + 2*d + 3 - 3 - 2*d - 2 + 2.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.071 at most -25171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + a?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54.65 - 55. Which is smaller: 2\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*-1*2 + (sqrt(133) - -3*(sqrt(133) - (sqrt(133) - -1*sqrt(133)))))\/(((-2*sqrt(672) + sqrt(672))\/sqrt(12))\/(-1*(sqrt(72) + sqrt(8)))))**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**2*z**3 - 13*h**2*z + 75*h*z**3 - 2*z**3 wrt z.\nAnswer: -12*h**2*z + 450*h*z - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20770521 to the nearest integer?\nAnswer: 4557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -64, -3, 3, 2\/11, 1\/10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 + 155. Let j = w - 60. Solve -3*k + 0 + 35 = 5*c, -2*k + j*c = 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (5 + -4 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-160)\/72 - 2\/(-9)) + -6. Let f be 5 + 44\/r - 14\/(-4). Solve 0 = m - f*m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 4*o + 20. Let m(x) = -x**3 - 5*x**2 - 2*x - 3. Let z be m(o). Suppose -1 = -2*q + z. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87.58 + 84. Let t = 29982.42294 + -29986. Let v = t - z. What is v rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/810 and -191\/420.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 990932, 1981924, 2972978, 3964094, 4955272, 5946512?\nAnswer: 6937814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -28, -0.6, -0.5, 10?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 24182280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 5*d**2 + d. Let h be t(5). Suppose -2*u - h*b - 14 = u, b = -4*u + 4. Suppose -u*o - 417 = -3*m - 5*o, 0 = -4*o + 4. Does 23 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 79 = -5*k, -268*u + 265*u + 85 = k. Solve -u*y + 11 = -17*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352451.\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 9:17 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-8 - -11) - -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3576172 = -228*m - 3596692 for m.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4137 at most -4135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v**2 - v + 2. Let r be c(-2). Let x(u) = -u**2 - 22*u - 52. Is x(r) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -2478.\nAnswer: -1\/826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 301 - 21. Calculate the remainder when f is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016102918 times -4?\nAnswer: 4064411672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2473*j**3*w**2 + 14*j**3*w + 153*j**3 + 3*j**2*w**2 + j*w**2 - 2*j wrt w?\nAnswer: -4946*j**3 + 6*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let c = 1 + 0. Let q(d) = -1 - 4*d**2 + c. Determine f(q(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866.929 kilograms in nanograms?\nAnswer: 2866929000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -7. Let r be (-3 - 3)*1\/f. Solve 0 = r*o - 0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + -69 + 76.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.373 - 1.773. Sort -12\/19, -0.2, o in increasing order.\nAnswer: -12\/19, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -2.269?\nAnswer: -18.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 - n**3 + 4*n**3)*(2 - 4 - 5) + 4*n**3 + 7*n**3 - 2*n**3.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9*x + 39. Let p be n(-3). Let k be (224\/p)\/(-4) + 5. What is l in 0 + k*l + l**3 + 4\/3*l**2 = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from ubyaf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 9*z**2 - 10*z + 2. Let g be j(-10). Suppose 2*b - 14 = -g. Let y be (-50)\/(-6) + (-92)\/(-138). What is the greatest common divisor of y and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3045 and 45008?\nAnswer: 4725840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -41?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -46*i + 14. Let z(q) = 31*q - 9. Give -5*h(x) - 8*z(x).\nAnswer: -18*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2 - 96*l - 98 = 0.\nAnswer: -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109.705 - -110. Let d = l - 0.065. Let z = d + -0.03. Sort -2, 1, z in descending order.\nAnswer: 1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 911. Let s(k) = k - 448. Give 2*g(b) - 5*s(b).\nAnswer: -3*b + 418","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -101*i + 143*i**2 + 25906 - 25903 - 28*i. Let l(o) = -71*o**2 + 65*o - 1. Let h(n) = 2*f(n) + 5*l(n). Find the second derivative of h(g) wrt g.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 7*u - 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*s = 1003 - 221, -2*s - 961 = 5*t. Let i = t + 276. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*p = 18. Let u be (-2)\/4*-11*2. Let l = p + u. Calculate the remainder when 49 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111508 less than or equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69800 is divided by 23239.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 300, 299, 296, 291, 284, 275?\n\"Answer: -d**2 + 2*d + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26793*h - 26764*h - 290 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 r, and 1 o when four letters picked without replacement from {d: 3, y: 2, r: 2, t: 4, c: 1, o: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 815 = -5*n, -3*n + 93*m = 94*m - 505. What is the remainder when 460 is divided by n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 248, -3, 2, 3, -9, 14 in decreasing order.\nAnswer: 248, 14, 3, 2, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422615 (base 13) to base 16.\nAnswer: 179dc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*z - 0*z + 13, 0 = 2*a - 4*z - 22. Suppose f = a*f + 12. Let s(p) = -4*p - 3. Let q be s(f). Calculate the highest common factor of 40 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 455 = -185. What is the units digit of (256\/a)\/(2\/115)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19781*o**2 - 30565*o**2 - 40547*o**2.\nAnswer: -51331*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zja when three letters picked without replacement from {m: 1, j: 1, z: 4, a: 3, s: 7}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 406.0958 - 0.0958. Let x = 302.4 - p. What is x rounded to the nearest integer?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x + 1. Let g(l) = 43*l - 10808. Determine u(g(j)).\nAnswer: 172*j - 43231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86 and 11.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*q = 0, -5*u + 3*q + 0 = -4. Suppose d = -d + v + 106, -u*v = -5*d + 263. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -256956713, -513913430, -770870147, -1027826864, -1284783581, -1541740298?\n\"Answer: -256956717*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -117573 + 117573 + 13*t. Let k(v) = -493*v. Calculate 4*k(f) + 153*n(f).\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3443 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 612 and 822222?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 220\/75)*(-432)\/72?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-45 - -38 - -37 - -43).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 11. Let i = 4 + z. Calculate the remainder when 7 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74327 - 33288. List the prime factors of n.\nAnswer: 41039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -20. Let z(i) = -3*i + 8*i - 2 + x*i - i**2. Let q be z(6). What is the highest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 - 5*o**5 + o**5 + (2*o**2 + 0*o**2 + o**2)*(15*o**3 - 23*o**3 - 2 - 2*o**2 + o**2).\nAnswer: -26*o**5 - 3*o**4 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 3:28 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-14)*(-574)\/(-820).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 2761*u**4\/4 - 3*u**3 - 26*u**2 - 618. Find the third derivative of p(h) wrt h.\nAnswer: 16566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/8)\/(63\/(-378)). Determine d, given that 3\/2*d + 0 + 3\/4*d**4 + 0*d**3 - s*d**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 - 115 - (-8 + (2 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**3 + 51*c**2 + 10*c + 15. Let p(q) = -3*q**3 - 19*q**2 - 3*q - 5. Let t(y) = 3*j(y) + 8*p(y). Determine t(-3).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from iamamiiimma.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 216672.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 2*g**3 - 2*g**3 - 5*g**3 + 7 + 5*g**3 + g**3 + g**3 - 3*g**3 + 3*g**3 + 4*g**3 - 3*g**3 + g**3 + 3 - 3 + g**3 + (g - g + 2*g**3)*(3 + 1 - 2).\nAnswer: 8*g**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.081, 1, 1\/7, 4, -1 in decreasing order.\nAnswer: 4, 1, 1\/7, -0.081, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(g + 2*g - 4*g) + 6 + 6*g - 6 - 2 + 2 - 2*g + (5 + 0 - 2)*(2 - 2 - g) - g - 16 + 16 + 135*g - 67*g - 63*g - 2.\nAnswer: 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(63))\/sqrt(9) - (sqrt(7) + -1 + -5))**2.\nAnswer: -24*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2131 - -108. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/60 + h**3\/2 - 3*h**2. Let w be (-2)\/(-4)*(5 - 5). Determine z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11, 14, 49, 88, 125?\n\"Answer: -n**3 + 11*n**2 - n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 0, 29 in decreasing order.\nAnswer: 29, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 + r + 4. Let d be l(0). Solve 7*a = -4*t + 2*a - 33, 2*a = 3*t - d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/11 + -4\/33. What is the nearest to f in 4, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4133212.\nAnswer: 2, 1033303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 51 - 165. Suppose 7*w - 4*w = v. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732 plus 1718786?\nAnswer: 1720518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 6. Let m be l(0). Suppose 53 = o + 3*b, m*o - 5*b - 173 = 3*o. Calculate the remainder when o is divided by 19 - 0\/((-4)\/2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.264 - 0.25795. Round v to 4 dps.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -541.\nAnswer: 54.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33167, -66347, -99543, -132755?\n\"Answer: -8*p**2 - 33156*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 423\/95 + -347\/95. Sort 0.04, -0.5, 19, c.\nAnswer: -0.5, 0.04, c, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 260 = 3*f - 2*b, -3*b - 252 = -3*f. Suppose -85*m + f*m + 135 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 f when three letters picked without replacement from jjjfjfjjfffj?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -3\/25*p**5 + 7 - 1\/15*p**3 + 1\/30*p**6 + 3\/20*p**4 + 0*p + 0*p**2. Find f, given that w(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37196)\/(-1641)*2\/8?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -11. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/10 and ((-7)\/3 - -2)*(-123)\/2378.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**5 + 23*j**2 + 109*j**6 + 293*j - 601*j + 305*j wrt j?\nAnswer: 13080*j**3 - 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553318 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: Sort 39, -0.68, -4\/5, 0, -240, -1\/7 in descending order.\nAnswer: 39, 0, -1\/7, -0.68, -4\/5, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 2559*f - 47963. Give l(19).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146918559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -7 (c) -3\/4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*i = r + 32, r = 3*i - 9. Suppose 1044 = 4*y + 5*q + 31, 0 = -3*y - r*q + 759. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/16*(-4)\/(-3). Let f = 1 + 0. Which is greater: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 - -64)*1\/(-6)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = -1686*c + 1689*c - 34*s, -12*c - 90 = 3*s for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 8) in base 4?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c + 7. Let j(b) = -4*b + 6. Let d(s) = -12*s + 18. Let w(r) = 3*d(r) - 8*j(r). Determine -5*a(i) + 6*w(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821078 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*o + 31 = 0, 2*o - 30 = 4*t - 8. Is (-33)\/(t\/(1 - -3)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-16)*2\/(-3). Let v = 10 + -12. Is o <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 41499 and -3487.\nAnswer: 38012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 y when four letters picked without replacement from llylyyll.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3747 is divided by 163.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 542101\/(-952) + 9\/24. Let u = -569 - c. Which is smaller: u or 10\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**2 + 24*g**2 - 11*g**6 + 9*g**6 + 21*g**6 wrt g.\nAnswer: 2280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, j: 6, w: 4}. Give prob of picking 3 b and 1 w.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 23*z**3 + 36*z**2 + 228*z - 1133. What is v(5)?\nAnswer: 3782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 57 = 3*n, -2*n = 4*h - 50. Suppose -h*s + 0 + 12 = 0. Let r be 4\/22*-1*-2. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 224*f**4 + 223*f**4 - 444*f**4 - 3*f**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3587 and 6963?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:39 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 460\/40)\/((-1)\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 5*j + 3. Let q be c(-5). Suppose 2*i - 8 = -5*g + q, -3*g - 5*i = 1. Suppose -r - 15 = m + 3*m, 0 = g*r - m - 7. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 12*j + 8. Let u(z) = 145*z + 95. Let s be -9*(-2)\/24*-4. Let f(n) = s*u(n) + 35*v(n). Find the first derivative of f(a) wrt a.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215872?\nAnswer: 2, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h**3 + 5*h**2 + h - 1. Let a be n(-2). Suppose -o + 3*v = 26 - a, -2*o - v = -89. Round o to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 4*x + 17, -4*x = -q + 2*q + 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (5 - 13)) + (-106 - (5 - (-6 + 17)))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by 59086.\nAnswer: -153\/29543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 623*t + 234. What is the units digit of i(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 at least as big as -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2451 is divided by 88.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23026 - 99.\nAnswer: 22927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 340*f**3 + 353*f**3 + 1 - 3*f.\nAnswer: 13*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 = 3*x - 4, 4*x + 33 = 5*k. Let d = 55\/4 - 283\/20. Let o = 0.5 - 0.6. What is the nearest to o in d, 2\/13, x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*b + 24, -129*s + 127*s - 5*b = 36. Suppose -3*k + 7*k + 32 = 0. Is s at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*p - 110 = 42, -5*p = -3*o + 405. Suppose -j = -6*j + o. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -106328457 to the nearest 100000.\nAnswer: -106300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -91 (base 13) to base 11\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6)*(-5 - -14 - -69). Let o be 13\/(a\/(-40)) + 6. Let y(x) = x**2 + 7*x + 7. Let w be y(-6). Put 0, o, w, 4 in ascending order.\nAnswer: o, 0, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*72\/(-60)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + g - 54. Give p(0).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r = -700 + 259. Solve 0 + 36 = r*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74171 + 2387.45905.\nAnswer: -71783.54095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 78*g**2 - 138*g - 254. List the prime factors of r(61).\nAnswer: 3, 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -458, -715, -988, -1283, -1606, -1963?\nAnswer: -2360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/112, -2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17497055 is divided by 742.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbr when three letters picked without replacement from pbbpbrprbpbrp.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/21612391 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + ((-3)\/(-15))\/(3\/(-15)). Find i such that 0 + 1\/4*i**y - 1\/4*i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - j = 24, -3*k = j - 11 + 3. Suppose -3*n + 15 = -w + 2*n, -3*n + 9 = -k*w. Find i, given that 0 + w*i**2 + 2\/3*i**3 - 2\/3*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 7628790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - 23. Let b = -21 - p. What is the greatest common factor of b and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1098.30081 to zero decimal places.\nAnswer: -1098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1828 (base 10) to base 12\nAnswer: -1084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**2 + 3*s + 40 - 6*s**2 - 102*s**4 + 7*s**2 + 103*s**4 to l*s**2 + a*s**3 + t*s**4 + n + p*s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3828 = -7*j - 4*j. Let c = -189 - j. Find the third derivative of 23*v**6 - 159*v**5 - 21*v**2 + c*v**5 wrt v.\nAnswer: 2760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 22.023. Let r = x + -0.0354. What is r rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4807 and 1100389.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 9*t**2 + t + 26. Calculate z(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.3 (b) -25 (c) 0 (d) -596\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12128 + 13428. Does 26 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162721 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0382 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -157816 divided by 19727\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5 - 11. Suppose 90 = b*q - 106. Find the third derivative of -9*a**2 + 11*a**5 - q + 98 wrt a.\nAnswer: 660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9 + 14 - 2*m**2 + 2 - 10*m + m**2. Let o be l(-12). Which is smaller: o or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 2, e: 1, m: 1, c: 1, q: 2}. Give prob of sequence emx.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*(z*z**(-3))\/z))\/z*z\/((z\/z**(4\/5))\/z)*z*z)\/(z*z**(-1)*z)**43)**(-32))**36 assuming z is positive.\nAnswer: z**(214272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -33*f + 2. Let l be n(-2). Suppose 2*r = 4*z - 2*z - 42, 16 = -4*r. Calculate the highest common divisor of z and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 14*l - 49. Let u(m) = m**3 - m**2 + 2*m - 3. Let i be u(2). Determine f(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*4*sqrt(77)*5)\/(sqrt(11) + sqrt(1100)*-1 + sqrt(55)\/sqrt(5)*2).\nAnswer: 4 + 100*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013356387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28324654?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 - 116*o**2 + 115*o = 0. Calculate o.\nAnswer: 0, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 47b?\nAnswer: 47d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(7) + sqrt(7) + sqrt(7))**2*-6 + (2*sqrt(7) + 4)**2).\nAnswer: -64*sqrt(7) + 2512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 217. Let b be 6\/(-10) - l\/160. Sort -4\/3, b, 2\/13 in increasing order.\nAnswer: -4\/3, 2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 20*v - 31. Let h be o(8). Put h, 3, -16, -4 in descending order.\nAnswer: 3, h, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/60 + c**5\/20 - c**4\/6 - c**3\/3 + 8*c**2. Let m(p) = 2*p**3 - 2*p**2 + 3*p + 2. Give 3*m(t) + 2*w(t).\nAnswer: 2*t**3 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 667, 155360, 5 in increasing order.\nAnswer: 5, 667, 155360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11800)\/360)\/(-59)*((-14)\/6)\/(4\/18)?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3475 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -9 - 11*f + f**3 + 7*f**2 + f - 17*f**2. Let j be t(11). Suppose -j*c = -5*p - 14, -4*c + 3*c = p. Solve 0 = -c*z - 3*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1080*w**2 - 793*w**2 + 15*w + 3 - 288*w**2. Let s be (-2)\/(3 - 1) - -12. What is j(s)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1726335312 by -5.\nAnswer: -1726335312\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4268)\/(-88))\/(-97))\/(1\/34).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, m: 5, f: 5, r: 1}. What is prob of sequence fmm?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11307 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*f = -5, 0 = -3*t - 2*f + 9 - 1. Which is the nearest to 8? (a) -2 (b) 8 (c) -2\/13 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-10) - 0 - (4 + -2). Sort v, 0, 4, 2\/5 in decreasing order.\nAnswer: 4, 2\/5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112100010 (base 3) in base 15?\nAnswer: 316c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17079550 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 0 - (-1 - 1). Let j be (2 - 1)\/(z\/6). Let v be (-1)\/4 + (j - 3). Which is the second biggest value? (a) v (b) -2\/19 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-1 - -2))*68\/51.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -15. Suppose 0 = 7*r - v*r + 12. Suppose -r*j + 2*k - 5*k = -134, -6 = 3*k. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20)*-3)\/((-10)\/200*4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 255151 + -1?\nAnswer: 255150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + 14e8?\nAnswer: 14dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 4, 5, -204 in ascending order.\nAnswer: -204, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 + 2. Let h(l) = -7*l**2 + 3. Suppose -3*x - 117*n = -114*n + 48, -11 = 2*x - 5*n. Determine x*s(w) + 6*h(w).\nAnswer: -3*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 17 + 2, 2*p - 2*t = -6. Suppose -5*o - 3 - 7 = p. What are the prime factors of (-1)\/(21\/12 + o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(10*o - 15*o - 5*o**2 + 9*o**2).\nAnswer: -8*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/138 and -71\/24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -648*8249\nAnswer: -5345352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-210)\/(4 - 14) + -14. Solve -5*d - 5*f = -10, 5*d + 0*f - k = -4*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411472 != 411471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96.283 + -0.717. Let y = -114.8 - -17.8. Let w = f - y. Which is greater: -1\/11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8605 - 79 = 6*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8*b - 259 = 0. Let j = -17 - b. What is the greatest common divisor of 100 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13516 (base 10) to base 9.\nAnswer: -20477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8140 - 3921. What are the prime factors of f?\nAnswer: 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 0.4 (c) -0.3 (d) 1.7 (e) -4 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/20 + (-42)\/(-10). Suppose -i = y - 4*w, 2*y + 0 = 3*w + 2. Suppose 6*k - k - 39 = -2*x, -67 = -y*x + k. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51.0589495 - 0.9408405. Let f = -52 - z. What is f rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.8 times -1?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*g + 51*g + 7*f = 2*f + 188, 5*g + 10*f = 370 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 130732 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/sqrt(7)*-1)**2 + sqrt(42)\/sqrt(6) + 5.\nAnswer: sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 18?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -48*b + 44*b. Suppose -6*c + b*k + 4 = -c, -k = -3*c + 1. Solve 3*o - 5*o = c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 406, 1488, 3292, 5818, 9066, 13036, 17728?\n\"Answer: 361*n**2 - n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76 + 4*t**2 - 38 - 36 - 3*t**2 to i*t**2 + o*t + c and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4518 = 2*f + w, 6*f - 5*f = 4*w + 2277. Is f a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - d**2 + 7 + ((3 - 1 - 7 + (1 + 0 + 1)*(4 + 2 - 4))*(-13*d + 6*d - 8*d) - 3 + 3 - d)*(-2*d - 3 + 3).\nAnswer: -29*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29\/2 - -13. What is the common denominator of 0\/(-10) - 21\/(-4) and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 88*j**2 - 416*j.\nAnswer: 4*j*(j - 4)*(j + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 55\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31149852 + -75938467. Let m = 44788615.49000006 + d. Let b = -0.49 + m. What is b rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000010010 (base 2) in base 11?\nAnswer: -1609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**1)**(-2)*q**(-4\/11)\/q**7 assuming q is positive.\nAnswer: q**(-147\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**16)**(-1\/8) assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y - 60 = -5*m, -2*m = 5*y - 72. Let t(x) = 3*x + 12. Let c be t(-5). Let b be c*(y\/(-12) + 0). Solve -4*o + b = -l - 3*o, 0 = l + 2*o - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13626 + 14358. Calculate the highest common divisor of 1891 and f.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 34. Let u(t) = -7*t - 2. Calculate the least common multiple of u(-2) and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29713399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -120999*q**3 + 3*q**2 + q - 1. Let l be i(-1). What is l rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(12\/(-4)) - -1. Let x = v - 14. Solve 0 = -2*q + x*a - 3, q = 2*q + a + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 3. Let m(a) = 6*a - 15. Let i be m(10). Suppose -4*p + 5*p + 2*v = 15, 3*v = -4*p + i. Let b be f(p). Round b to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 9*z = -5*d - 32, -d - 14 = -4*z. Put 6, -397, z in decreasing order.\nAnswer: 6, z, -397","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103641 divided by -4?\nAnswer: -103641\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from eletletlltteecd.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776 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: Expand (2 - 3*d - 2)*(1 - 1 - 2*d**2).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/((-420)\/(-806058)) - 4\/(-10)?\nAnswer: 97, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2198 + 2207 - 4411 + 123*z to a + m*z and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -582, -1259, -2386, -3963, -5990, -8467?\n\"Answer: -225*u**2 - 2*u - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 796692 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 339*v - 4941. Let q be t(15). Solve q + 108 = 84*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 799 divided by 17.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttd when three letters picked without replacement from tddddtddd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3 + 4)*(-3*g + 2*g - 7*g) - 27 - 6*g + 27)*(4*g + g - 2*g).\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 38298.87 years?\nAnswer: 382.9887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = -10. Suppose 2*j + 29 - 27 = 0. Put h, j, 6 in decreasing order.\nAnswer: 6, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 975051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:36 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1967? (a) -2 (b) -5 (c) 2\/3 (d) -1\/2 (e) -3 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -208559, 10 in ascending order.\nAnswer: -208559, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21 - 1)*51*24\/30. What is the greatest common factor of 96 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 117\/(-54) - ((-195)\/(-18))\/13. Let t be -1*(2 + 0 - 1). List the prime factors of i*6*27*t\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -10. Suppose 4*c + 1 - 13 = d. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (13 + -3 - 8) + -8 + 12\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 17*r - 4. Let n be p(2). Let l = -34 + n. Which is the second smallest value? (a) -1\/3 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320.647*0.2.\nAnswer: 64.1294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 58*z**2 - 7*z - 61. Let t(u) = 15*u**2 - u - 1. Calculate f(d) - 4*t(d).\nAnswer: -2*d**2 - 3*d - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12022 (base 3) in base 11?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 13312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 482743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-12))\/(2\/(-4)). Let f = -56\/11 + 750\/143. Put f, 0.5, k in ascending order.\nAnswer: f, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 11:24 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*q + 21 + 81 - 27*q)*(56 - 56 - 14*q).\nAnswer: -84*q**2 - 1428*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1134 + -164. Let l = -570 + h. Does 40 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7*b = 6. Let v = 78.9 + -79. Put b, v, -2\/19, 2 in decreasing order.\nAnswer: 2, v, -2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21.213215372 and 9.7.\nAnswer: 30.913215372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 1. Let p(o) = 2*o - 24. Let f(i) = p(i) + x(i). Let k be f(8). Let u = -417\/8 - -52. Which is greater: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179.7 + 179.8. Let h be (-15)\/9 - 1*-1. What is the nearest to h in r, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5656 and 421040.\nAnswer: 415384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, 224, 194, 142, 62, -52, -206, -406?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 77 + 197 = 0. Let n = -242 + 257. Calculate the lowest common multiple of n and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 225175877 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54531 is divided by 77.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2442 - 1722. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 0.068729.\nAnswer: 0.00343645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6158519105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/900 and -97\/7650?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**6\/360 + m**5\/60 - m**4\/24 - 287*m**3\/6 - 285*m**2. Let g(z) be the first derivative of k(z). What is g(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -183 in -0.5, 15, 3, 0, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y - 81401 = -1041. Suppose 2*v - 2 = 0, 3*x + 3*v - y = 2*v. What are the prime factors of x?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = c. What is the common denominator of c\/16*-73 + 2 and -103\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/13 and -41\/598?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -60. Let o(c) = -c**2 + c + 3. Give o(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and (-12)\/4*-1 - (0 - 64)?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -20. What is the units digit of (49 - 1)*1\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 77794.4g?\nAnswer: 77794400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3663\/(-66)*(1 + -7) is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -226 - -230. Solve -k*x - 25 = -3*i - 8*x, -i - 2*x + 11 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 - 24*m - 25. Calculate s(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15 - 1) + -2 + 2. Let o be h\/3 + 1\/3. Let n be (o - -1) + (0 - 3). Solve -3*f = n*i - 7*i - 11, -4*f = 3*i + 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620562604?\nAnswer: 2, 463, 335077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**3\/3 - g**2\/2 - g + 1473. Let p = 2 - 4. Let s(l) = -3*l**2 + 5*l + 5. Calculate p*s(f) - 10*r(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + -3 + -1 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -60250?\nAnswer: 60247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-76846)\/(-60) + 3. Let s = d - 3824\/3. Calculate the common denominator of -73\/4 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*l - 1347, 0 = -4*l + 8*l + 5*y - 2639. Suppose -l*k = -667*k + 156. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -324 + 12746. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 2*r - r**2)*(129*r + 8*r + 31*r**2 - 30*r**2) as h*r**3 + w*r**2 + t*r + g*r**4 + b and give h.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0594322 times 0.16?\nAnswer: 0.009509152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -26 - 25 - 4 + 13 - 135*r. List the prime factors of h(-2).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 6*o + 9*o. Sort 6, o, 2 in decreasing order.\nAnswer: 6, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/((-8)\/(4 - 0)). Suppose -595 = -n*s + 601. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89875?\nAnswer: 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) -2 (c) 3\/5 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.734 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -695*c**2. Let t be s(1). Let l be (-2)\/(-18) + ((-2680)\/36)\/(-5). What is the common denominator of 2 - t\/l*(-1)\/4 and 17\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 4, -2, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (156\/14)\/(30\/40*-4)\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 0)*32\/(-80)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + v**2 + 6. Let s be f(0). Suppose 1 + 1 = 2*p + 3*o, 0 = -3*o - s. Find the second derivative of -p*a**3 + 6*a**3 - a - 3 + 3 wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51210 = -1844*d + 137*d for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113163.\nAnswer: 3, 67, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -153764, -307536, -461298, -615044, -768768, -922464?\n\"Answer: u**3 - u**2 - 153776*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 less than 1428\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113105400 + -1?\nAnswer: -113105401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*m + 161 - 1. Solve 4*b + 14 = 3*s - s, -3*s + 20 = -m*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-5 + (8 - 1) - (-90 + -1 - 13)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*t = 1722*t + 617*t - 245735 for t.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13)\/3 + (-6)\/(-2))*3. Which is smaller: -9 or o?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5 - 14. Let l be 1*3 - (j - 4). Suppose -l*c + 168 = 2*y - 90, 2*c - 8 = 0. What is the greatest common factor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-156))\/(2\/(-4))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.51708 kilograms in nanograms?\nAnswer: 34517080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23632?\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 10*c**2 - 2*c - 1. Suppose -3*u = -3*g - 6, 4*g = -g - 4*u - 1. Let j be -8 + 2 + (-5 - g). What is the tens digit of x(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 3*s - 4*s + 96.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z - 196 + 548. Suppose -z = 230*o - 234*o. Solve 10 = o*d - 6*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2808 or 2807?\nAnswer: 2807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) 1 (c) 1\/7 (d) -0.003506 (e) -27 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14665 + -10552. Is y greater than 4114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -1\/5*f**4 - 717\/5*f**2 - 2116\/5 + 460*f + 10*f**3 = 0.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77641.0538 to the nearest ten.\nAnswer: -77640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - g + 41 = 38, -4*w - 5*g = 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14219 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vveevaeee. Give prob of sequence vv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 80617 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0095715558 less than -72?\nAnswer: -72.0095715558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -412 + 599. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 234533 from 6.2.\nAnswer: -234526.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 12*h = -72. Find the third derivative of 3*l**3 + h*l**4 + 19*l**2 + 5*l**3 - 8*l**3 wrt l.\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**4 + 62259*w**3 - 323419626*w**2 + 4195307940*w - 7097435400 = 0.\nAnswer: 2, 11, 10370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 7*y + 7. Let v be u(10). Let o = v - 101. Let r = o - -695. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 + 10*t. Let k(r) = -2*r**3 - 4*r**2 + 29*r. What is 3*k(w) - 8*u(w)?\nAnswer: 2*w**3 - 4*w**2 + 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1162 = -2*w, 2*w + 2*d - 1394 + 224 = 0. Which is smaller: w or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131480 = 5*w + 3*i + 2*i, 3*w = i + 78904. Round w to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 21*i - 20*i. Let k be (3\/(-2))\/(i\/(-24)). Suppose k*m = 10*m + 640. Round m to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -336\/5. Suppose 10*n - 7125 = 9*n. Let j = n + -71359\/10. Find the common denominator of j and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -56 - 39. Suppose -3*p + 3*b + 30 = 0, -5*p - 5*b + 19 = -21. What is the remainder when y is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1345 in 0, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*o + 12, -4*o - 3 = -0*o + q. Let a be 1\/(3\/(-18)*o). Suppose 2*z - 3*r + 9 = 6*z, 3*r - 6 = -a*z. Solve 3 = z*n - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 805, 1515, 2227, 2941, 3657?\n\"Answer: m**2 + 707*m + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -788 - -760 - 20\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1582*v**2. Let p(i) = i**2. What is k(p(d))?\nAnswer: -1582*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 h when three letters picked without replacement from hnhjnnhjcph.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z\/z**(-2)))**(3\/10))**(3\/5))**(-1\/61))**(1\/2) assuming z is positive.\nAnswer: z**(27\/6100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*v - 2*v + 620, 4*x = -3*v + 620. Let f = -111 + x. Let t = 46 - f. Solve t = -l - 5*q, 2*l - 4 = -q + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0*j**3 + 0 + 1\/6*j**4 + 0*j**2 - 3\/20*j**5 - 4*j. What is the third derivative of i(t) wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124244 (base 6) to base 16\nAnswer: -2c44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-2))\/(301*150\/(-175))*1.\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -371.1 - -332. Let x = -27.8 - r. Let w = 16 - x. What is w rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2295 - -2317. Calculate the least common multiple of 1584 and a.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**4 - 2*v**3 - 4*v**2 + 2*v. Let j(z) = z. Let a(f) = 4*j(f) - 2*k(f). Determine g, given that a(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/299?\nAnswer: 1\/299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3499972 to the power of 1\/2, to the nearest integer?\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107303440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27624 and 14568?\nAnswer: 16767768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 66, 86, 130, 204, 314, 466?\n\"Answer: j**3 + 6*j**2 - 5*j + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 + -31)\/(1*(2 - 4)). Solve -c*d + 3 = -9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343.713128 rounded to 1 dp?\nAnswer: -343.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 17772872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148078 divided by -49.\nAnswer: 3022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4308.64 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 + 226*x\/7 - 1936\/7.\nAnswer: 2*(x - 8)*(x + 121)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19496 + -6695. Let k = -128127\/10 + s. Let g = 13001\/8 - 1615. Find the common denominator of g and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1508000 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 125*c + 7879. Calculate p(-63).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -12*s - 10\/3*s**3 + 5 - 17*s**2. Factor t(q).\nAnswer: -2*(q + 3)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6260 (base 10) to base 7\nAnswer: 24152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/45 and -8\/1445.\nAnswer: 13005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -818 or -163239?\nAnswer: -818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -464*n**4 + 7*n**3 + 2*n**2 + 20542*n.\nAnswer: -11136*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -93*k**3\/2 - 427*k**2\/2 + 46*k. Find the first derivative of y(d) wrt d.\nAnswer: -279","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50\/611 or -1.13?\nAnswer: -1.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 145 and 0.6.\nAnswer: 145.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -1 + (-3 - -10). Suppose l*s - 27624 = -7282. Round s to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 9*g**2 + 8*g + 7. Calculate r(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 45*b - 37. Let v be p(24). Let i = -26 + v. What is the derivative of 2*r + 4 - 7*r + i wrt r?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 15. Let d(u) = -w*u**2 + 0*u - u + u**2. Let b = 2 + -3. Let p(j) = -2*j**2 - j. Calculate b*p(o) + 3*d(o).\nAnswer: -o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 5 (c) 1 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 5. Let g be o(-6). Let f(r) = -3*r**2 - 16*r - 5. Let l(i) = -i**2 - 5*i - 2. Let s(v) = 2*f(v) - 7*l(v). Does 9 divide s(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-360)*18*-65*3\/(30\/(-8)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 21 = -22*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230115*i**2 - 152*i - 329381*i**2 + 152*i.\nAnswer: -559496*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6095)\/69)\/53*(-84)\/(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v**2. Let d be a(1). Suppose 0 = 3*p - 8 + d. Suppose -138 = -p*m + 2. What is the highest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*p - 9, -16*g + 12*g = -3*p - 12. Suppose p*h + 0 + 0*h**2 - 2\/7*h**3 = 0. Calculate h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-76153)\/(-22) - 1\/2) + 3.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9582 - -9782. Calculate the highest common divisor of q and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 35 = 3*s. Let p be (-150)\/s - 2\/7. Solve -p*k = -5*b + 5, -k + 10 = 3*k - 2*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/489699865?\nAnswer: -2\/489699865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-32)\/(l**(-1\/28)*l))\/(l**(-9)\/((l*l*(l*l*l\/(l*l**(-34)))\/l*l)\/l)) assuming l is positive.\nAnswer: l**(365\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 4*m, 0 = -3*m - 5*t - 35829 + 35842 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/59006168 and -37\/65.\nAnswer: 295030840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(4*r**5 - 4*r**5 + r**5) + 302 - r**5 + 33603*r**2 - 33603*r**2 + 3*r.\nAnswer: -3*r**5 + 3*r + 302","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 51700.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -438 + 489. Suppose a - 1051 = -20*l. Calculate the highest common divisor of 250 and l.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.98 - -0.02. Let j(t) = -t**2 - 2*t + 11. Let k be j(-4). Suppose -3*p - k*n - 23 = -7*n, 2*p + 20 = 5*n. Put -0.2, z, p in decreasing order.\nAnswer: z, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62 + -745376?\nAnswer: -745314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179.126 + -0.126. What is the third biggest value in -0.3, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 56 + -5 + -48 - -5?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 24140858.\nAnswer: 3\/24140858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**4 - 18*w**3 + 81*w**2 - 20*w - 104. Let t(u) = -6*u**4 + 90*u**3 - 405*u**2 + 102*u + 519. Let x(n) = 4*t(n) + 21*y(n). Factor x(r).\nAnswer: -3*(r - 2)**2*(r + 1)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20434785083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 34 + 24*b**2 to the form f*b**2 + y*b + v and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26575 - -26578. What is the nearest to 3 in -0.07, -14, o, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a25 - 28213?\nAnswer: -30138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*h + 10 = 0, -17 - 3 = -2*q + 4*h. Suppose -q = 2*u - 10. Let r be (5*-3)\/((-141)\/(-47) - 8\/1). Put 5, u, 2, r in increasing order.\nAnswer: 2, r, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 45*l + 1306. What is the smallest common multiple of y(-20) and 74?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 552 - 2245341?\nAnswer: -2244456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -53) + (52 - 49) + -16 + 4 + -1?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 13*s**2 - 11*s - 7. Let r be q(12). Suppose -477 = -r*k - 22. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15) + 63\/35\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 39.3. Suppose 0 = 5*w + 5*d - 30, -48*w + 5*d = -50*w + 27. Which is the nearest to w? (a) -15 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -6. Suppose -j*q + 3*v = v - 146, q - 14 = -4*v. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 296272*0.184\nAnswer: 54514.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -464 - 463 + 3*k - k**3 + 929 + 6*k**3 - 2*k**4 in the form p*k**4 + l*k + j + s*k**2 + g*k**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7891.549 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (429*i**3 + 815*i**3 + 2 - 344*i**3 + 382*i**3)*(1 - 2 + 3).\nAnswer: 2564*i**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2318, 2408, 2484, 2540, 2570, 2568, 2528, 2444?\nAnswer: 2310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*b**2*w**3 - 3*b**2*w**2 + 63*b*w**3 + 8*w**2 - 6*w wrt w?\nAnswer: -156*b**2 + 378*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -423*f - 207*f - 1605*f - 1364*f + 671*f. Let x(n) = n**2. Calculate x(g(w)).\nAnswer: 8573184*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*x - 4*s, 0 = -4*x + 5*s + 5 + 2. Suppose 15 = 3*z + 2*z. Let g = x - z. Solve -3*k - 3*c + 3 + 21 = g, 20 = 4*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + 73. Calculate the greatest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34770, 34779, 34800, 34839, 34902, 34995, 35124?\n\"Answer: i**3 + 2*i + 34767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1541 (base 7) in base 6?\nAnswer: -2505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/24))\/k)**(-17) assuming k is positive.\nAnswer: k**(17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.1122 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 + 8*i\/5 + 8\/5.\nAnswer: 2*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-18)\/(-4)) - (-84)\/(-126). Suppose 25*s - 28*s - 90 = b. Is s\/(-8) + -4 + (-2957)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**3 + 2 - 2*m**4 + 3*m**3 - 3*m**4 + 6*m**4 in the form o*m**2 + f*m + t*m**4 + h*m**3 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -1*(-3)\/(-1). Let n be (-2)\/(-4) + 3\/v. Suppose -18 = -n*q + 2*i, 4*q - i - 16 = 8. Solve p = 2*p + q*y + 13, -2*p = 3*y + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -8 + 1 + 7 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*c**2 - 2*c*k + c - k + 47 wrt c.\nAnswer: 46*c - 2*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - ((sqrt(1331) - (sqrt(1331) + -1*sqrt(1331))) + sqrt(1331))*2) + -5 + (1*sqrt(1331) - sqrt(1331) - sqrt(1331) - sqrt(1331)))**2.\nAnswer: 550*sqrt(11) + 33300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k - 47. What is t(0)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 1:08 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/(28*(-4)\/(-24)). What is the closest to p in 4\/7, 0.2, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*q**3 + 238202*q - 125102.\nAnswer: -15*q**2 + 238202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 430*a**2 - 564*a?\nAnswer: 860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38247 and 549?\nAnswer: 114741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (10 + -17 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 8:56 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3710127250 a multiple of 891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -23*r**2 + 28*r - 6. Let k(q) = -13*q**2 + 16*q - 2. Let a(j) = -7*k(j) + 4*x(j). Let c(u) = -2*u + 3. Calculate c(a(b)).\nAnswer: 2*b**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -25*b**2. Let d(j) = 4*j - 3. Let p(l) = -3*l - 6. Let u(q) = 10*d(q) - 5*p(q). Calculate u(w(n)).\nAnswer: -1375*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 695 - 695. Let g(v) be the second derivative of -1\/4*v**5 + 7\/2*v**2 + 0 + 8*v + b*v**3 + 0*v**4. Find the first derivative of g(f) wrt f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-7)\/14)\/(-1*8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 35881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*h - 53. Let f = 85 + h. Suppose 0 = r + 3*r - 72. What is the remainder when f is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1 + 12 + a + 0*a. Let t be q(-9). Suppose 0 = 5*c + p + 15, -3*c - 3*p - 7 = t. Let u(w) = -3*w - 4. What is u(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 950*a**2 + 58*a - 151. What is k(2)?\nAnswer: 3765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, y: 4, z: 3, k: 2, t: 3}. What is prob of sequence kyy?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1766418 (base 9) to base 2\nAnswer: -11110001011011000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13338)\/1995*5 + 34.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -612534, 5.\nAnswer: -612534, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1468*x = 1483*x - 9675. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-4)\/3*12\/96\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - t**2 + 8 + 3*t**3)*(-15 + 2 - 2) as d + i*t**3 + z*t**2 + h*t and give i.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d + 1 = -w, 2*w - 16 = 4*d. Let o = 13\/4 + -151\/44. Let m = -72.7 + 73. What is the biggest value in m, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmuzuzumzu. What is prob of picking 1 u and 2 m?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 1:40 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:59 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7406 less than -7406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33799866 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15185, -33239, -51293, -69347, -87401, -105455?\n\"Answer: -18054*p + 2869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s - 3*w - 104, -3*w + 12 = 0. Suppose 2*q = j + 392 - s, -4*q = 5*j - 696. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afaffffffffffaafffff. What is prob of sequence ff?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) -0.2 (c) -0.3 (d) -1.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.2825183\nAnswer: 0.11300732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-11) - (-84)\/22. Let m be (2\/f)\/((-7)\/(-840)). Let o = 106 - m. Calculate the remainder when o is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrnn. What is prob of picking 2 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*c + 6*c - 34, -3*s = c + 17. Let a be (s\/(-8))\/(6\/24). Is 27 a factor of 81\/(9\/a) - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 3\/5, -0.5, -1\/8, -139?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29738088600 rounded to the nearest one million?\nAnswer: -29738000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:55 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26226 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 674275*u**2 - 38530*u + 38530. Let n(o) = -18*o**2 + o - 1. What is -m(v) - 38530*n(v)?\nAnswer: 19265*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -319.\nAnswer: -2552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a - 62781 = -62*a. Is a a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/8 and 13\/8145614.\nAnswer: 32582456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317409 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(50)\/sqrt(5)) + -2)*-4.\nAnswer: -4*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 38*x**2 + 2*x + 77. Let c be q(-38). Suppose -3*b = 5*n - 11 + 3, 4*b + 3*n = 18. Solve s + c = b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1295, -2355, -3213, -3851, -4251, -4395, -4265?\n\"Answer: 3*h**3 + 83*h**2 - 1330*h - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 - 6389 + 4*q**3 + 6381 - q**3 + 168*q + 2*q**2 to d*q**2 + b*q + s*q**3 + c and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-29)\/(4901\/637)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4247b0 (base 15) to base 9\nAnswer: 5836413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.14, 0.3, -7, 3\/8, 1738 in ascending order.\nAnswer: -7, 0.3, 3\/8, 2.14, 1738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1223413 (base 5) to base 12.\nAnswer: -117b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 224 = -25*u + 22*u, -u = -4*b - 80. Calculate the remainder when 179 is divided by u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:03 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 278, 398, 518, 638, 758?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-16\/3)*s*s)\/s*s*s**(-17))\/(s\/(((s\/(s\/(s**(-6\/7)*s*s)))\/s)\/s)*(s**25*s)\/s))**44 assuming s is positive.\nAnswer: s**(-42680\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -658494.5 to the nearest 10000.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(sqrt(6) - -5*sqrt(384)))**2 + -2)*5.\nAnswer: -16785\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2\/47, 3 in descending order.\nAnswer: 3, 2\/47, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -901691*-0.4\nAnswer: 360676.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*s = -15. Let b(x) = -x - 3. Let u be b(s). Solve -2*z - 4*q + 8 = -u*z, 4*q = -z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3159677063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 211022?\nAnswer: 211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*u + 2)*(-3 + 4 + 2) + u + 3*u - 2*u + (-2 - 4 + 5)*(-u + 2*u - 4*u) - 2*u + 3*u + 3*u.\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.14. Let q = j + 0.1. Let l = q - -3.96. Which is the closest to -2? (a) 0.1 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b**2 + 12*b + 3. Let c(h) = -7*h**2 - 8*h - 2. Let s(n) = -3*c(n) - 2*j(n). Let f(i) = -17*i - 1 + 1. Calculate s(f(m)).\nAnswer: 289*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 493 - 295. Let d = u - 197.99. What is the closest to -2\/9 in 2\/3, d, 5\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*y - 16. Suppose -y*i = -7 + 15. Let b = -3 - i. Which is smaller: b or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -2, -691778 in ascending order.\nAnswer: -691778, -2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -4)*3)**2.\nAnswer: -432*sqrt(7) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (20 + -16)*((-1)\/((-3)\/(-9)) + 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*r - 10*r + 57*r to f + u*r and give u.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/9 (b) 0.03 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001110001000001010001101 - 0?\nAnswer: 111001110001000001010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9288430 and 3956?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 19*k. Let o(t) = 5854*t + 749. Calculate o(b(n)).\nAnswer: 111226*n + 749","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 26*j + 162. Suppose 11*i = 25 + 217. What is the remainder when m(i) is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -15 + 6 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l**3 - 92*l**2 - 39*l - 311. Determine u(-13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -114*y**5\/5 + 103*y**3\/3 - 116. What is the third derivative of p(w) wrt w?\nAnswer: -2736*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4430\/220 + -20)\/(2*3\/(-8)). Let z = 4 - 2. Which is the nearest to -1.5? (a) z (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/5, 4, 82, 53?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 5. Suppose 0 = -3*j + 2*z + 2*z + 22, -2*j = 4*z - 28. Suppose -34 + j = 6*h. Let v(i) = -i**2 + 4. Give h*w(d) - 5*v(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a day in hours?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 + -197\/3. Is d less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 619884 - 239767. Suppose -3*m - w = 112183. Round m to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -16. Suppose -2*k = -r*k + 50. Let v = k + 96. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.1 - 48.\nAnswer: -54.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1078) + sqrt(1078))\/(sqrt(12)\/(-2*sqrt(6))) - -5*(sqrt(11)*2 + -4 - (-1*sqrt(110))\/sqrt(10)))**2.\nAnswer: 520*sqrt(11) + 2259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 4213930 and 22.385.\nAnswer: 4213952.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 28*x - 19. Let p be r(-28). What is the closest to 1 in -3, p, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -2*o**7\/105 - o**6\/10 + o**5\/15 + o**4\/2 + 2*o**2 - 8. Suppose u(w) = 0. What is w?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 4) in base 14?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.01 - -4.87. Let l = -8 + d. Let o = -0.148 - l. Round o to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000001110000111000 (base 2) to base 13\nAnswer: 957b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1607 - 24567. Round h to the nearest one hundred.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*l + 3*d, 16 - 70 = 3*l - 3*d. Which is the nearest to 0? (a) -2 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 6 + -9 + -9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48, 93, 134, 171, 204, 233, 258?\n\"Answer: -2*h**2 + 51*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r - 2. Let h be z(-3). Suppose 0 = 4*c + 3*p + 6, 3*c - h*c = 2*p + 4. Suppose 2*n - 156 = -t - c*t, t + 4*n - 146 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66434.9508 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*y + 19378 - 583776 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1\/4, -4\/3, -3\/43, 1\/3?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 45 + 2*t + 3*t + 41.\nAnswer: 15*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 13, c: 5}. Give prob of picking 2 c.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**3 - 269674*s**2 - 1348401*s + 1618074 = 0?\nAnswer: -6, 1, 269679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33979 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 13894 and 12179 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5649 and 2601.\nAnswer: 4897683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.2 (b) 1 (c) 241.3 (d) 0.7 (e) -5 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104, 129, 170, 227, 300, 389, 494?\n\"Answer: 8*a**2 + a + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8456 and 88309179?\nAnswer: 706473432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 3*z**2 - 3*z - 3. Let k = -5 - -2. Let j be r(k). Suppose -q + 3*q + j = 0, 4*l = 2*q + 94. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u**4 - 7*u**4 + 13*u**4)*(22*u + 53*u + 51*u).\nAnswer: 1890*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-96))\/(9\/(-18))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1118 (b) 2\/9 (c) 0.7 (d) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 529952216?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 15*m - 7. Give w(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -4, 0.2, -1, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21692725 divided by -4338545.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116978, 233942, 350904, 467864, 584822, 701778?\nAnswer: 818732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*p**4*s + 2*p**4 + 2*p**3*s - 2*p**2*s - 21*p*s wrt p.\nAnswer: -1056*p*s + 48*p + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - 202202?\nAnswer: -210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28747860.\nAnswer: 2, 3, 5, 479131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (3 - 2) + -593 + 592.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 51.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/60 + v**4\/4 - 8*v**3\/3 - 3*v**2 + 1. What are the prime factors of y(5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -3 (b) -6 (c) 1 (d) 1255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 4*l + 1. Let y be h(3). Let q be 0*y\/24*3. Suppose -i + q*p - 3*p = -12, -2*i + 24 = -3*p. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrjjjjk. Give prob of sequence krr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.94 - -0.94000088. Round o to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2\/3 + 670*b + 81215\/3.\nAnswer: -5*(b - 439)*(b + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 487704, 487711, 487724, 487743?\n\"Answer: 3*p**2 - 2*p + 487703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, -68, -102, -130, -152, -168, -178?\n\"Answer: 3*d**2 - 49*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 4, -0.3, -0.2, -13588?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 618.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2900 divided by 25?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157.73 + -160. Let q = j + 2.270153. Round q to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 65. Suppose -3*p + 30 = -g*w, -3*p = -w - 3 - 27. Calculate the remainder when 20 is divided by 82\/p + -1 + (-4)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 48 = -125*p + 129*p, 5*p + 3*j = 57. Let n be 1 - (2 + 1\/(-1)). Suppose n = -p*d + 4*d + 75. Solve 3*g = -5*x - d - 10, -3*g - 9 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 647115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 199177673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91007 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25519090691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5*1\/20)\/(10\/328). Is m smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487869 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1697950 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32 or 1946?\nAnswer: 1946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 6. Let w(x) be the first derivative of x - 5367. What is -o(k) + 4*w(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14279711 and 472?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + 54bac4?\nAnswer: 54bab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -177537.83\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.170611 rounded to three decimal places?\nAnswer: -2.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 3*i + ((-4 + 2 + 3)*(-3 + 2 - 1) + 0 + 3 + 0)*(-5*i + 9*i + 24*i))*(-1 + 1 + 2*i**4).\nAnswer: 60*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 104. Let w = 74.99999959 - r. Round w to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9087 + 9087.0000776. Round o to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m**2 - 6*m - 22. Is c(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 104882*g**2 - 8244*g + 162 = 0.\nAnswer: 9\/229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1*(-6)\/(-360)*5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*b + 57*b + 18 = 0. Let j be 220\/18 - (-2)\/(-9). Let n(r) = 5*r**2 - r - 7*r + j - 6*r**2. Determine n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvegegf. What is prob of sequence geg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189412?\nAnswer: 2, 47353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0046638 to five decimal places.\nAnswer: -0.00466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 420407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6693*x**2 - 2411*x**2 + 53*x - 53*x + (-x - 3*x + 2*x)*(-2*x + x - x) - 6*x + 6*x - 5*x**2 to w + y*x + b*x**2 and give b.\nAnswer: -9105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, m: 1, l: 3}. Give prob of picking 1 m, 1 l, and 1 b.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6314 or -1?\nAnswer: -6314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1880)\/(-288) + (-2)\/(-9). Let b = l - 7. What is the third smallest value in b, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2\/5 + 11254*z\/5 - 2046507\/5 = 0.\nAnswer: -11433, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q - 2*q + 2*q + (-3*q + 4*q - 11*q)*(-4 + 0 + 0) to a*q + h and give a.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (2 - 10) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.155*4\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*k**5 + 3978 - 3978)*(3 - 3 - 5).\nAnswer: -230*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1408 and 2.03106.\nAnswer: 2859.73248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 105 from 8.5076.\nAnswer: -96.4924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, m: 1, e: 1, n: 1, l: 1, o: 2}. Give prob of picking 1 m, 1 n, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234489264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -11 + 1. Let f be (10 - w)\/(2 + -1 + 0). Suppose f*n - 2*n + 382 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2801017732?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 9*j = -3*f + 5, 2*f + 583*j - 4 = 589*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396083 is divided by 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1142440 + 1142440 + 1139*a**2.\nAnswer: 1139*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110110100110011010 + 0?\nAnswer: 101110110100110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, o: 7, g: 1, e: 1, a: 1}. Give prob of picking 1 e and 1 o.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 4*f - f + 4*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-120)*10)\/((-1)\/(-3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 3*j. Let w be b(8). Let a be 3\/(2\/w*-6). Solve -5*c + 0*c = -a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.4, -0.3, 0.3, -3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 483 and 3726.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 4. Suppose -t + 0*h + 3*h + 11 = 0, 3*t = -2*h + 11. Calculate the smallest common multiple of 3\/6*(t - 1) and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 78*m**2 + 396*m - 170. Calculate i(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1192*s**3 + 3946*s + 3?\nAnswer: 7152*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/7596 and -53\/27388.\nAnswer: 52009812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 335 - -344. Let z = -482 + y. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012601 rounded to six dps?\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/15, -1\/3, 0.99, -0.2 in decreasing order.\nAnswer: 5, 0.99, 2\/15, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -1\/30*w**6 - 1\/210*w**7 - 1\/10*w**5 + 0*w + 0 - 1\/6*w**4 - 1\/6*w**3 - 2*w**2. Factor f(v).\nAnswer: -(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40\/2291 + -498176\/190153. Let t = o - -9845\/498. Calculate the common denominator of t and 1\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 2*o**2 + o - 1. Let r(a) = -96*a**3 - 17*a**2 + 7*a - 7. Let c(k) = -3*r(k) + 21*x(k). What is the third derivative of c(n) wrt n?\nAnswer: 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 7. Let w be f(-5). Suppose -h = -w*h. Suppose 5*n + 3*m - 47 = -h*m, 0 = 3*n - 5*m - 35. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/486982 or 1?\nAnswer: -15\/486982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*z - 2*z**2 - 4*z)*(1 + 0 - 2) - 137*z - 444*z**2 - 134*z + 271*z)*(3*z**3 + 4*z**3 - 2*z**3).\nAnswer: -2210*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -0.4, -2.171?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**4 + 2*a. Let y(i) = -718*i**4 + 8*i - 436. Let z(f) = 4*d(f) - y(f). What is the first derivative of z(j) wrt j?\nAnswer: 2888*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 8:03 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 7:09 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 - (5 + 4 + (-18)\/(-48)) and 115\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-2 - -7) + -2. Let t be -8 - 0*(1 + -2). Let q = -9 - t. Sort 4, q, c in ascending order.\nAnswer: q, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -18*w**3 - 4*w**2 + 50*w + 258. Calculate the remainder when v(-8) is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Suppose 2 + 2 = -u + 2*z, -b*u = -4*z. Suppose 10*p + 5 = -28*p + 81. Solve -2*a = -u*a - p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(6\/(-16)). Let h(q) = 2*q**2 + 4*q - 1. Let m(d) be the first derivative of -2*d**3\/3 - 5*d**2\/2 + 2*d + 17382. Calculate k*h(r) + 3*m(r).\nAnswer: 2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 25*j + 435. Let p = 92 - j. What is the closest to -1 in -9, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, t: 4}. Give prob of sequence ttt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 841963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -7, -97, -1\/3, -8 in decreasing order.\nAnswer: -2\/7, -1\/3, -7, -8, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -1 + 4. Let y be (n\/(-6))\/((-3)\/6). Let a(x) = -1 - 6 + x + x**2 + x**3 + y. What is a(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46590 times 1\nAnswer: -46590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*q = 16*q + 198 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**5\/105 - 5*t**4\/21 - 50*t**3\/21 + 10*t**2. Factor w(v).\nAnswer: -4*(v + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 8*n**2 - 6*n - 1. Let r be p(-7). Let o = r - -32. Let g = o + -14. Calculate the lowest common multiple of 8 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/360 + z**5\/24 + z**4\/24 + 7*z**3\/3 - 2*z**2. Let v(w) be the first derivative of y(w). Give v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -14\/5 (c) -2 (d) 0.4 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 3, 4, -167, -8 in increasing order.\nAnswer: -167, -8, 2\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2870 + 22871\/8. Calculate the common denominator of 63\/10 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, x: 4}. Give prob of picking 3 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 158444 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/965568 and 75\/376?\nAnswer: 965568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 39*f. Let h(v) = 36*v - 31. Calculate h(j(y)).\nAnswer: 1404*y - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - -33. Suppose 0*l + u = l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-3 - 4) + 1 + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 3*x**2 - 10 + 3*x + 10.\nAnswer: -3*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3495 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3217 - 161215?\nAnswer: -155776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 13*j**2 + 10*j - 23. Is k(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355788987165 + 355788987165 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 64*j. Let g(d) = 2*d**2 + 31*d + 89*d - 117*d + 15*d. Determine i(g(r)).\nAnswer: 128*r**2 + 1152*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(12\/(-20)*(-170)\/204).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*h**2 - 51*h**2 - 94*h - 68*h**2 - 17 + 34 - 15 wrt h.\nAnswer: -260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lplppplwllwwlwwlwwwl. What is prob of picking 2 l, 1 w, and 1 p?\nAnswer: 896\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 3:30 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -52, -175, 65, 5\/2?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253072829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36 + -6 + 3)\/1. Suppose s*v - 26*v = 3297. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amxx when four letters picked without replacement from {a: 3, m: 4, x: 9}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 6:43 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-33))\/(64\/6*28\/168).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**2 - 61*p - 24. Let h = -16675 - -16684. What is s(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 - 8*x + 4. Does 9 divide p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/105)\/((-3)\/2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-1))\/(24\/(-32)). Let q(p) be the third derivative of p**5\/60 - p**4\/24 + 5*p**3\/6 - 4*p**2. Is q(i) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/((h*h*h**1)\/h))\/((h\/((h\/(h\/h**(2\/25)))\/h))\/h))\/(h\/(h\/h**(-1\/3)*h))**(-9))**(-1))**(-5\/7) assuming h is positive.\nAnswer: h**(-348\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3224744\nAnswer: 3\/3224744","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 617852801 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -5. Let i be ((-2)\/(-10))\/(c\/2). What is the second biggest value in i, -5, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10de (base 15) to base 9.\nAnswer: 4822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928000 is divided by 28998.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*b - 4*b - 2*b)*(-3 + 3 + 2*b + (2 + 1 - 2)*(-2*b + 6*b - 2*b)) in the form g + w*b + q*b**2 and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 38 = 2. Let p be 2200*(-2 + 542\/t). What is p rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = r - 3, -2*p + 2*r = 6 - 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isslillllkllilsllesi. Give prob of sequence ke.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 17. Suppose -5 = 2*s - 7. Are f and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 72\/16)\/((-3)\/8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1070901325 and 11450.\nAnswer: 5725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3) + (-10)\/(-15). Is 4 a factor of ((-17)\/c - 3)*(-48)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g - 81 = 47*g. Let d = g - -30. Solve 0*n = -d*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - z = -24. Let a be 3\/(-1 + -8)*-39. Suppose -80 + 15 = -a*n. What is the smallest value in -1, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 + 38*u**2 - 32*u - 75. Let w be b(18). Put w, 5, 1 in descending order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 866\/8 - (-5)\/(-20). Suppose 5*h - p = 17. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 4. Solve -3*p + f = -5*r, 2*r - p + 3 = -2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + -5.02. Sort -23, o, 0.3.\nAnswer: -23, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 5*j - 14 - 3*j.\nAnswer: -7*j - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.053 (b) 5629 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 3*w - 4*w. Let x(p) be the third derivative of 0*p + 5\/24*p**4 + 0 + 0*p**3 + 8*p**2. Calculate b(x(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3616728*c**4 + 3345587*c.\nAnswer: -43400736*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2 + 14\/7)\/2)\/(-2). Let q(k) be the first derivative of -45\/4*k**4 + 0*k + 13 + a*k**2 - 11\/3*k**3. What is the third derivative of q(f) wrt f?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*a)*(-460 - 50*a + 235 + 220).\nAnswer: 100*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 385247421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(4\/23)*n**11 assuming n is positive.\nAnswer: n**(272\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10296213 and -20762?\nAnswer: 10275451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-14) + 15\/35. Suppose 0 = -2*c - s*z + 102 - 31, -2*z = -5*c + 206. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21.8, 6\/7, -2 in decreasing order.\nAnswer: 21.8, 6\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(297)*-1)\/((sqrt(81)\/sqrt(3))\/sqrt(3)))\/(((-1*sqrt(180))\/sqrt(12))\/(sqrt(35)\/(sqrt(7) + (sqrt(63) - sqrt(7)) + sqrt(7)))).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 637 = 31*a - 717 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 111023 - 111023 - 33*d**2 to b*d**2 + s*d + r and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837 is divided by 118.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**5 + 0*m**5 - 4*m**5 + 30*m**2 - 30*m**2 + m**5 + (-m**4 - m**4 + 0*m**4)*(m - 3*m + m) - 4*m**5 - 3*m**5 + 6*m**5 - 2*m + 2*m + 2*m**5.\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6598613 rounded to 2 decimal places?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224009 and 697.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.029 and -1900063973.\nAnswer: -1900063972.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 4575.\nAnswer: 4575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435645?\nAnswer: 3, 5, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98620 by -20.\nAnswer: -4931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111000 (base 2) in base 15?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142 and 6?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Let t be 0 + (20\/(-14) - -2). Let r = -0.16 + -0.14. What is the second smallest value in t, p, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 27 = 255. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 divided by -191?\nAnswer: -183\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*w + 6*p - 564, 0 = -5*p + 4*p. Calculate the remainder when 157 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - a = -22, -3*d + 18 = -3*a - 24. Let o(b) = -b**3 + 4*b - 5. Calculate the remainder when o(-4) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1891, -1890, -1891, -1894, -1899, -1906?\n\"Answer: -o**2 + 4*o - 1894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 4)*((-27)\/(2 + 7) + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33013626.\nAnswer: 2, 3, 17, 79, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00079057 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.4, -0.14, -1\/8, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 798594 and 71142.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 15, -31 = -i + 3*i - h. Let y be ((-6)\/9)\/(3\/i). Find the second derivative of -6*t**4 + 2*t**y + 4*t**4 - 2*t**5 - 9*t wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-280806)\/68*(-2 - (-1 + 1)).\nAnswer: 3, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, and 1 q when three letters picked without replacement from {t: 4, f: 2, q: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-18))\/((-18)\/(-54))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112\/((2\/88)\/((-6192)\/(-1152)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -886.52773 + -7.43297. Let d = -894 - t. Round d to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1773*g**3*v**3 - 20*g**2*v**3 - 102*g**2*v wrt g.\nAnswer: 10638*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6581 + 28080 = -340*a - 75*a - 8381 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -8 + 15 + (-3 - 0) + 115 + -126?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*n - 10, 5*c + 26 = n - 2*n. Let t(a) = 4*a - 1. Let i be t(-2). Let q = c - i. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3102b (base 14) to base 4\nAnswer: 130310033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-20))\/(5\/60). Which is greater: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m - 3*m)*(-43 - 45 + 83)*(-5*m**4 - 74*m**3 + 147*m**3 - 71*m**3 + 3*m**2).\nAnswer: -75*m**5 + 30*m**4 + 45*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6315*n + 29 = -6313*n - r, -4*n = -3*r - 57 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -3)*((-89)\/445)\/((-5)\/(-11)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**4\/4 + 13*z**3 - 507*z**2\/2 + 6*z + 176. Let v(m) be the first derivative of j(m). Determine h, given that v(h) = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 - 29838\/345. Let n be ((-955372)\/(-308))\/((-552)\/(-14)). Let v = m + n. What is the common denominator of 7\/12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 237\/198 - 1555\/1866\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-4))\/(20\/72). What is the greatest common divisor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 134, 135, 136, 137, 138?\n\"Answer: d + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.915 to 1 dp.\nAnswer: -49.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*v - 22 = 3*h, v = -h - 6 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51139\/6 - 8504. Let y = h + -62\/3. Is -2 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0059946692741 and -8.\nAnswer: -7.9940053307259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*s**2 - 60*s**2 + 661 + 14*s**2.\nAnswer: -133*s**2 + 661","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001360138 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 >= 21\/148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 32 = 3. Suppose -b = -2*o - 8, 0*b = -b + 3*o + 8. Let f be (-38)\/b*1 - 17\/68. Sort 2, f, n in decreasing order.\nAnswer: 2, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -694 or -651?\nAnswer: -651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a**2 - 302*a - 12800. Let i(g) = -5*g**2 - 152*g - 6400. Let q(f) = -9*i(f) + 4*n(f). Let q(t) = 0. What is t?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(832) + 0)*1 + (-1*(sqrt(91) + sqrt(91)*-1 + sqrt(91)))\/(sqrt(448) - sqrt(448)*-2).\nAnswer: -5 + 191*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/27*(-120)\/55.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a factor of 25042200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7 + 7 - 6*v**2 + 14*v**2. Let u(b) = b - 1. Let l(p) = -2*p**2 + 10*p - 10. Let w(m) = l(m) - 10*u(m). Give w(c(z)).\nAnswer: -128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*6\/9 - -3. Let i = 0.1 + 0.4. Let j = 5 + -4. What is the closest to j in -3\/5, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2835)*1 + sqrt(2835) - sqrt(2835)) + sqrt(2835) - 5*sqrt(875))\/((sqrt(504) - sqrt(504)*-2)\/sqrt(8)*-3).\nAnswer: 7*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2970450 divided by -14145.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 4*b + 2016 = 26*b. Let c(o) = -2*o + 6. Let a be c(-5). Calculate the greatest common factor of a and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*l = -74*l + 3450. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 1, k: 2, h: 2, e: 1, v: 1}. What is prob of sequence ec?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 69*n - 53. Determine r(0).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 12:32 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let w be a(4). What is the nearest to 1 in 0.5, 0.4, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-1))\/(518\/111))\/(2204\/(-203))\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 - 1. Let m be l(-1). Find the third derivative of -2*b**3 + 2*b**m + 4*b**3 - b**3 + b**2 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**3 + 1 + 3*y**2 - y**3 - 4*y**2 + 2*y**3 to the form z*y + x + v*y**2 + c*y**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151399067.\nAnswer: 1279, 118373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6113, -5714, 5 in descending order.\nAnswer: 5, -0.6113, -5714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4 + 4 + 68\/(-16). Suppose 5*y = 5*v + 30, u*y - v + 3 = 2*y. Suppose w + 78 = 4*w + y*p, -2*p = 6. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34664318581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5029861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r + 12. Let z be (3\/((-6)\/8))\/2. Calculate the smallest common multiple of r and (3 + 2)\/(z\/(-4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 7*u = 17*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x - 2. Determine h(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 229\/4 + -57. Factor -1\/4*v - w*v**3 + 0 + 1\/2*v**2.\nAnswer: -v*(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 - 96 = -22*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20524608 divided by 48?\nAnswer: 427596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k + 3*k + 10*k + 7*k. What are the prime factors of t(1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 530266\/(-10 + 21) + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 divided by -171?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*i + 16, 0 = -0*i + 5*i - 2*j + 13. Suppose 9*r = 4*r + 15. Put -3, r, i in increasing order.\nAnswer: -3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.78 + -3.\nAnswer: -1.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 538657 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018893 rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -1\/7 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13980)\/(-52) - (-6)\/39. Let f = -115 + t. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37576840 (base 9) to base 5.\nAnswer: 14203241344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 44. Let s = 8.21 + 2.69. Let j = s - 11.1. Which is the second biggest value? (a) 1\/3 (b) j (c) l (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:55 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-6)*r**5)\/((r*r\/r**(6\/5))\/((r**(1\/2)\/r)\/r*r*r)))\/(r*r**(-3)*r*r*r**4*((r*r**3*r)\/r*r)\/(r*r**(2\/3))) assuming r is positive.\nAnswer: r**(-199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0911089326 rounded to 4 decimal places?\nAnswer: -0.0911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622029815 - -6381?\nAnswer: 1622036196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64*f + 467 - 51*f - 21*f wrt f?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = -4. List the prime factors of 32\/2 - (1 - t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2582 - -0.1009. Round d to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4, -2*n - 6*z + 3*z = -9410. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5*sqrt(700)*2 - 3*sqrt(700)*-2) + -4 + 3 + -1*sqrt(700) + ((0 + sqrt(700) + sqrt(700))*-5 - sqrt(700)) + -1)**2.\nAnswer: 960*sqrt(7) + 179209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-5) - (3259 - -1). Let p = 7805651\/6 + -1304214. Let f = p - q. What is the common denominator of f and 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 216*u + 82*u - 295*u.\nAnswer: 3*u - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -717687531*j**2 + 19272*j - 10529 wrt j.\nAnswer: -1435375062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 3 + 1)*(1 - 3 + 3) - 24 - 8 + 53)*(-2*m**2 - 10*m**2 + 5*m**2) to x + o*m + l*m**2 and give l.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100 - -10111100110000?\nAnswer: 10111110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s**2 + s. Let j(b) = -4*b**3 + 48*b**2 - 6*b - 43. Let f(n) = -j(n) - 5*u(n). Let f(t) = 0. Calculate t.\nAnswer: -43, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1540 and 1309?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*i - i + 0*i)*(-3*i**3 + 2*i**3 + 2*i**3) + 2*i - 2*i**2 + i**4 - 2*i as r*i**3 + o*i**4 + a*i**2 + d + y*i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*3\/(-60)*16\/(-12).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*0\/3 - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 324543*g**2 + 80509 wrt g?\nAnswer: 649086*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**6\/8 + 7*z**4\/24 + 3*z**2. What is the second derivative of g(v) wrt v?\nAnswer: -90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = 4*k - 44, 3*k - 42 = 3*i. Let c be (-1108)\/(-44) + (-2)\/k. Suppose 3*g = 4*m - 82, -5*m + g + c = -72. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a factor of 38434785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-2))\/((-6)\/(-20)). Let h = a - -13. Suppose h*n + 2 + 8 = -z, 0 = -z - 5*n - 20. Calculate the remainder when 8 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 5 - (17 - 13) - 65.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191495284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 149519621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.28696 take away 7469?\nAnswer: -7355.71304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1061897 + g**3 - 530919 - 530978.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136248 and 20607510?\nAnswer: 82430040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.029293, 7 in descending order.\nAnswer: 7, -0.029293, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3644802, -3644804, -3644806, -3644808, -3644810?\n\"Answer: -2*a - 3644800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9866 and -5.\nAnswer: 49330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4025)\/(-119) + (-2)\/(-34) + 4\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 4 + 2)*(-5 + 2 + 5 + (-2 - 1 + 2)*(-3 - 3 + 5) + 3 - 1 - 3)*(-2*k + 3*k - 2*k).\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = -105 + 21 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -22. Put -2, -3, -1, h in ascending order.\nAnswer: h, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, m: 2, h: 5, r: 4}. Give prob of picking 1 g, 1 m, and 1 h.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15390772 to the power of 1\/2, to the nearest integer?\nAnswer: 3923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80681149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392334?\nAnswer: 2, 3, 23, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*178\/(-89)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 34*v + 13. Let w be d(-4). Let z = w - -60. Let k = -37 - z. What is the highest common divisor of 39 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1595 and 328715?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5450, -5349, -5182, -4949, -4650, -4285?\n\"Answer: 33*x**2 + 2*x - 5485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*i**3*j**2 + 281*i**3 - 2*i**2 - 9*i + j**2 - 53*j wrt i?\nAnswer: 528*j**2 + 1686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -1\/10, -4, -28?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39964*i**3 - 38438*i wrt i?\nAnswer: 239784*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9 = 4*a + 4*c, 5*a - 2*c = 1. Let i = 3.06 + -0.06. What is the nearest to a in i, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)*h)**43*h**(13\/2)*h*h**(-3\/10)*h assuming h is positive.\nAnswer: h**(983\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -86*w - 720. Give j(-6).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)\/((-7)\/(2 - 37)). Suppose -7*x + 6 = -p*x. Solve -3*t + x = -0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41 (b) -4\/7 (c) 2\/7403 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56954 + -32515. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 89*c - 92. Give p(7).\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lenfnlnnthnteln. Give prob of sequence lhe.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/10 + (-422)\/20 and 1308\/616 - 10\/(-35)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 9 - (89 - 67).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9438 is divided by 3141?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92 + 106)\/(28\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303749 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -26 - (2 + -1 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121160 divided by -60580.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klxxxllexlxlxx. What is prob of sequence kkxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 3*c**2 - c + 5. Let w be h(3). Suppose w*n + 2*n - 308 = 0. Let o = -35 + n. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 2*m - m + ((-2 - 1 + 4)*(-3*m + 5*m + 0*m) + 8*m + 10*m - 8*m + 0 - 2 + 3 + 6*m)*(-29 + 9 - 11) to the form n + o*m and give o.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1026.174549 + -1031.5745. Let l = b + 5.4. What is l rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 87\/924470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -18*s. Let d(x) = 6*x - 7. Let n = -25 + 30. Let u(w) = 4*w - 5. Let h(p) = n*d(p) - 7*u(p). Determine f(h(k)).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 0.5 (b) -2 (c) 2\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*w + 78*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - v - 19 = 0, -2*p = -v + 16 + 34. Let c = p + 32. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + 107. Suppose -176 - w = -2*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c + 3. Let y(h) = 10 - h**2 + 0 - 3 + 7*h. Suppose -5*d + 6 = -4. Calculate d*y(n) - 5*q(n).\nAnswer: -2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32909783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1659950 (base 12) to base 3\nAnswer: -22122200102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 - 45*o**2 + 34*o + 76. List the prime factors of k(-29).\nAnswer: 3, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 61993 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7078 + -14149\/2. Let r(s) be the first derivative of 0*s + 0*s**4 + 0*s**3 + 22 - 11*s**2 + 0*s**5 + p*s**6. Find the second derivative of r(d) wrt d.\nAnswer: 420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -2\/11, 19\/17, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 749*i*r**6 - 5*i*r**3 + 404159*i*r**2 - 2*r**5 wrt r.\nAnswer: 89880*i*r**3 - 30*i - 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/2*((-36)\/(-162))\/(440\/90)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - 20) + -8 + 9.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**5 + 6*s**5 - 2*s**5 - s**5 - s**5 + 3*s**5 - s**5 - 3*s**2 + 3*s**2 + (-5*s**3 + 4*s**3 + 0*s**3)*(-2*s + 2*s + s**2) - s**4 + s**4 + 2*s**5.\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 - -100. Suppose 3*m + w = 1102. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-52) - (-266038)\/(-130). Let u = 2034 + w. Calculate the common denominator of u and -49\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571934.\nAnswer: 2, 11, 25997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*o - 0*o. Let p(y) = 23 - 12*y**2 + 1 + y**3 - 5 - 14*y. What is the remainder when o is divided by p(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 6*z - 15. Calculate j(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6458366.344 rounded to the nearest 1000?\nAnswer: 6458000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220552 (base 7) in base 6?\nAnswer: 3203455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.4, -2, 2, 288, -2\/13 in increasing order.\nAnswer: -2, -0.4, -2\/13, 0.3, 2, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)\/(a*a**(-3\/5)*a*a)*(a*a\/((a\/a**(-5))\/a))\/(a\/((a\/(a\/((a*a*a**6*a)\/a)))\/a)) assuming a is positive.\nAnswer: a**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.46 (b) 31 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4, 4*n + 22 = -2*o - 23 + 33 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -26, -23, 0, 49, 130, 249, 412?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/3))**(-2\/5))**(2\/53)*(y\/(y\/y**(3\/5))*y*y**9*y)**(-1\/23) assuming y is positive.\nAnswer: y**(-9682\/18285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**2 - 5*l - 3*l - 9*l**2 + 2 + 18*l to the form r + a*l + t*l**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 41752 * 1.2\nAnswer: 50102.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 121 = -k - 122, 2*w + 14 = -2*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/154, 3, 0.2, -2, -0.1, 5 in ascending order.\nAnswer: -2, -0.1, 5\/154, 0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42*25\/350)\/(1\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**2 + 132*i - 123. Give u(32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -243, -504, -781, -1080, -1407, -1768?\n\"Answer: -z**3 - 2*z**2 - 248*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9915 + -2.0085. Let l = 58\/99 - 4\/99. Which is the second biggest value? (a) j (b) -2\/11 (c) l (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 - -91.5. Which is the fourth smallest value? (a) -1 (b) w (c) -3\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*g - 211 = 0, 4*g = -10*m + 5*m + 1077. Let f = m - 217. Solve -3 = -q - f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -13 - 4\/((-2)\/1). Let q be (0 - 1)\/(d\/44). Solve -5 = -q*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2. Suppose -37 = -5*l - 2. Suppose -2*j = 4*q + 16, 2*q = 5*j + l*q + 15. Let u(b) = -j*b - b + b. Determine x(u(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - 24032.\nAnswer: -24031.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4.5. Let n = v + -0.4. Let r = 1 - 1.2. Which is the nearest to 1? (a) r (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8168295 is divided by 510515.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4763463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.005517906 to 2 dps.\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffwfwffffwfffffffw. Give prob of sequence ff.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-143) - 2\/22*-1*(6482 + -6484)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3 + sqrt(1088))**2*1*-6 - ((0 + sqrt(272) + -2)*-5)**2).\nAnswer: -53928 + 448*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123122303 + 112?\nAnswer: -123122131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 2*w**2 + 7*w + 5. Suppose 5*v = 3*v - 12. Let l(x) = 5*x**3 - 4*x**2 + 15*x + 11. Let r(t) = v*l(t) + 13*k(t). Is r(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -451 (b) 2 (c) 0 (d) -580.96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/100?\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*b = -4*b - 12865, 0 = 3*m - 2*b - 19287. What are the prime factors of m?\nAnswer: 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9879*t**3*z**3 - 624*t**3 - t*z**3 + 2*z**3 - 27*z**2 wrt z?\nAnswer: -59274*t**3 - 6*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*u + 13 = 55*u - s, 0 = -u + 2*s - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**4\/4 + v**3 - 3*v**2\/2 + 2*v - 40. Let z(c) = -2*c**3 - 7*c**2 + 6*c - 5. Calculate 7*t(f) + 3*z(f).\nAnswer: f**3 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4631 = -d + 3*z, 0 = 3*d - 4*z - 6955. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/1466090 and 97\/5864360.\nAnswer: 5864360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - f - 9. Let x(g) = g**2 + 12*g + 36. Let r be x(-8). Suppose -r + 25 = 7*b. What is the remainder when y(b) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 356, -23, -3, 3, 41 in ascending order.\nAnswer: -23, -3, -1, 3, 41, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 2. Let q = 19 - t. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8300, -9764, -12204, -15620, -20012?\n\"Answer: -488*t**2 - 7812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 327 - 2649 = 0. Let m = 4259\/11 - c. Put 1, -0.4, -2\/9, m in increasing order.\nAnswer: -0.4, -2\/9, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3151 + 3271. Solve 0 = -116*i + l*i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 217766 and 1524362.\nAnswer: 1524362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-3\/5)))\/q*(q\/(q*(q\/((q\/q**(1\/3))\/q))\/q))\/q assuming q is positive.\nAnswer: q**(-44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 19*q + 4. Let g(w) = 5*w - 1. Calculate -7*g(l) - 2*o(l).\nAnswer: -2*l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -2 - 23\/12*a**4 + 134\/21*a**7 - 35*a + 1\/3*a**3 + 0*a**6 + 0*a**5 + 0*a**2. Find the third derivative of o(f) wrt f.\nAnswer: 16080*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -114 + 133 - (10 - 2 - (1 - 0)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-10) + 1)\/(1\/1208). Let a = -447 + z. List the prime factors of a.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -12\/13, 211.95?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 74 - 121 - 325 = 0. Solve i*o - 48*o + 40 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-736)\/3520 - (-1)\/((-10)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 6*i + 4. Let r be w(-7). Suppose r*g = 3*g. Solve 2*u - 6 + g = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1199682, 2399347, 3599012, 4798677?\n\"Answer: 1199665*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41967 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -2*k, 4 = -s + 5*k - 2*k. Let y be 0\/(-1 + 1 + 2). Suppose 20 = -y*h - 4*h. Put s, h, 5 in ascending order.\nAnswer: h, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**8\/2240 - l**7\/280 + l**6\/120 - 11*l**4\/12 + 2*l. Let i(w) be the third derivative of p(w). Factor i(h).\nAnswer: 3*h*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 9 (c) -7\/3 (d) 75 (e) 5\/12 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/3)\/((-2)\/(-1587)). Let k = g - -36. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-22) - ((-7)\/1 - (921 - 929))?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 - 1155\/10. Let h = y - -243. Suppose 2*g = 4*t + 40, 3*t + h = 5*g - 0*g. 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 remainder when 871 is divided by 50?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 - -1.2. Let o = 4.9 + -5. What is the second biggest value in 0.04, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30312701 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d2 (base 16) in base 5?\nAnswer: -10342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2420573 divided by 113\nAnswer: 21421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 15. Let d(u) = -5 + 0*u - 1 + 5 + t*u. Calculate the remainder when d(5) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -7*v + 156, -6*n + 2*v - 103 - 55 = -7*n - 2*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 71, 101, 133, 167, 203?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**3 - 1. Let p be b(-1). Solve p*m - 3*m - 4 = 2*q, -4 = q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -37. Let d be (144 - 12)*1\/x. Does 8 divide (d + 0)\/(-5 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 633? (a) 2 (b) -3\/4 (c) -0.5 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**5 - 836*b**4 - 241*b + 2 wrt b.\nAnswer: 20*b**3 - 10032*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4376856 nanograms?\nAnswer: 0.0000000000004376856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 277 * -2\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5\/4 + 19*f**4\/4 + 35*f**3\/4 + 17*f**2\/4 = 0?\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46\/23355 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -51540.5 to the nearest one hundred.\nAnswer: -51500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.03067 * -19\nAnswer: 0.58273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/9 - (-20)\/6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5346647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**5\/5 + 3*a**3\/2 + 11*a**2. Find the first derivative of o(g) wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -2, 36 in ascending order.\nAnswer: -8, -2, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {l: 4, m: 3, w: 3, u: 7, o: 3}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.37 + 0.07. Let j = -1.1 + 1. Let l be ((-2)\/4)\/(2\/4). What is the closest to l in p, j, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - -8 - (-9 - (2 + -2)). Let q be (f\/15)\/(21\/10) + 0. Put 0.04, 5, q in descending order.\nAnswer: 5, q, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153*c**4 + 2*c**3 + 24*c**2 - 11*c - 1714 wrt c.\nAnswer: 1836*c**2 + 12*c + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7.1922 times 192\nAnswer: 1380.9024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 931 - 616. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 - 651 - (-8)\/(-5)*(-10)\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and (-6)\/8*136\/(-51)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19640193?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1671\/253 + 85\/23. Let j be 2\/(-5) + 144\/10. Find the common denominator of c and (2 - 3) + 104\/j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/28*11*1047\/3839?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0388 - -5.\nAnswer: 4.9612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-68 - -11 - -50).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*v = 14, 5*h - 3*h = 5*v + 1. Let s be 3 + (-4)\/h*0. Solve -m = -s + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243320 (base 5) to base 4.\nAnswer: -2033322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 2274813\nAnswer: 8\/2274813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 8*o**2 + 17. Let r be n(7). Let l = 68 - r. Factor 4*y**l + y**2 - 5*y**4 + 5*y**3 - 4*y**2 + 9*y**2.\nAnswer: -5*y**2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310631520 and 68320.\nAnswer: 9760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 199180 and 34640?\nAnswer: 796720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2540315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 11*t + 8. Let i be 63\/6*2\/(-3). Let o be v(i). Let l = 0 - o. Solve -4*a - l = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 92513241 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.167 times 0.502105?\nAnswer: 0.083851535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1130 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68\/95 - 6\/19. Let i(k) = k + 14. Let h be i(0). Suppose h*o + 3 = 13*o. Which is greater: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 1415*m**2 + 519112*m - 13004172.\nAnswer: (m - 694)**2*(m - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**5 - 3*c**4 + 8*c**2*i**2 + 1139*c*i**2 - 2*i**2 wrt c?\nAnswer: -80*c**3 - 36*c**2 + 16*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 4\/(-48)*68*(-2 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -1344131320?\nAnswer: 1344131321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 1:47 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -2\/33*i**3 - 24 + 1\/11*i**2 + 12\/11*i. Factor r(l).\nAnswer: -2*(l - 3)*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153442 (base 6) to base 10.\nAnswer: -15074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 12 = 2, -3*z = -4*r + 5358. Calculate the greatest common factor of r and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4986\/16 - (-15)\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**3\/3 - 6*t**2 - 7*t. Calculate the least common multiple of j(15) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -3, 9.9, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 7) to base 5.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 57. What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*m - 120*m + 54*m = -2374416. What are the prime factors of m?\nAnswer: 2, 3, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z**2 - 7*z + 11. What is x(2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**3 + 3*q**3 - 58*q**3)*(2 - 2 - q + 1)*(-4 + 2 + 0).\nAnswer: -98*q**4 + 98*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 - 12*r - 11. Let k be b(-9). Let z = k + 300. Let d = z - 93. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30 + -2b1611?\nAnswer: -2b15c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1068 - -8962. What are the prime factors of d?\nAnswer: 2, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 + -7. Suppose -5*r - j + 61 = 0, -4*r = -12*j + 17*j - 32. Calculate the greatest common factor of y and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 118*m**2 - 80*m**2 + 1 - 261*m**2 - 29*m**2)*(35 + 6*m**2 - 35).\nAnswer: -2928*m**4 - 12*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 0*j - 5 + 10*j + 2 - j. Let i be f(3). Suppose i = 3*h - 33. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -5, -2\/255, -0.1, 0 in decreasing order.\nAnswer: 8, 4, 0, -2\/255, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -11*w**2. Let a(n) be the first derivative of -3*n**2\/2 - 19. Calculate a(p(q)).\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 46*v**3 - 13*v**2 + 44*v - 1. Let j(q) = -2*q**2 + 3*q. Let r(c) = -3*j(c) + m(c). Find the second derivative of r(i) wrt i.\nAnswer: 276*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24216172.\nAnswer: 2, 151, 40093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 15 = 2*k + 2*v, -4*v + 4 = 0. Suppose k*t - 7*t - 12 = 0. Suppose -5*j + t*p + 185 = -p, 113 = 3*j - 5*p. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46720647?\nAnswer: 3, 821, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 5 (c) 2 (d) -0.119 (e) -3.53 (f) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 + (-955)\/(-20). Let u = o - 21. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5005 and 2548.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 20, 5*g = -0*g + 6*t - 41 + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 12*q + 15. Let g be p(5). Put 3, -4, -2, g in ascending order.\nAnswer: -4, -2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (2 - 1))\/(-7 + 6). What is the common denominator of (v\/3)\/(20*(-3)\/(-948)) and 7\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 585.45 - 576. Let j = w + -7.75. Sort -5, j, -3, -2 in decreasing order.\nAnswer: j, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 116. Let f(l) = -1651*l**2. Determine j(f(b)).\nAnswer: -1651*b**2 + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.99992 + -3. Round d to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1364862 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/9*1\/(6*70\/(-168)). Let w(y) = -y**3 + 6*y**2 + y + 4. Let v be w(6). Suppose -v + 4 = 3*h. What is the nearest to 2 in t, h, -1\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 12*b + 13 + 0*b**2 + 17\/3*b**3. Differentiate f(d) wrt d.\nAnswer: 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15\/218 - -18845\/4578. Calculate the common denominator of -47\/30 and o.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 6*3\/(-3). Suppose t*g - 622 = -2054. Let x = -74 - g. List the prime factors of x.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*t*y**4 + t*y**3 - t*y - 43*y**4 + 39490*y wrt y.\nAnswer: 516*t*y**2 + 6*t*y - 516*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**3 + m**2 - 4. Let a(j) = j**3 + 1. Calculate -2*a(o) - f(o).\nAnswer: 2*o**3 - o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-2\/13))**(-6)\/(o**(-3)*o*o*o*o)**(-44) assuming o is positive.\nAnswer: o**(404\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1352141 (base 6) to base 8\nAnswer: -226235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6735, 13418, 20101?\nAnswer: 26784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}